SDGophers Meetup 2017-10-12 Challenge

pyramid.go

package main

import (
	"fmt"
	"io/ioutil"
	"log"
	"os"
	"sort"
	"strconv"
	"strings"
)

func min(a, b int) int {
	if a < b {
		return a
	}

	return b
}

func smallest(n []int) int {
	sort.Ints(n)
	return n[0]
}

func shortest(pyramid [][]int) int {
	cur := []int{0}
	for i := range pyramid {
		row := make([]int, len(pyramid[i]))

		for j := range pyramid[i] {
			var shortp int

			switch {
			case j-1 < 0:
				shortp = cur[j]

			case j == len(cur):
				shortp = cur[j-1]

			default:
				shortp = min(cur[j], cur[j-1])
			}

			row[j] = shortp + pyramid[i][j]
		}

		cur = row
	}

	return smallest(cur)
}

func parse(s string) ([][]int, error) {
	ns := [][]int{}
	var lv int
	for _, line := range strings.Split(s, "\n") {
		ns = append(ns, []int{})
		line = strings.Trim(line, " ")
		for _, item := range strings.Split(line, " ") {
			n, err := strconv.ParseInt(item, 10, 64)
			if err != nil {
				return nil, err
			}
			ns[lv] = append(ns[lv], int(n))
		}
		lv++
	}

	return ns, nil
}

func main() {
	// https://www.reddit.com/r/dailyprogrammer/comments/6vi9ro/170823_challenge_328_intermediate_pyramid_sliding/?st=j8oziieq&sh=700700bb
	file := os.Args[1]

	data, err := ioutil.ReadFile(file)
	if err != nil {
		log.Fatalln(err)
	}

	pyramid, err := parse(string(data))
	if err != nil {
		log.Fatalln(err)
	}

	ans := shortest(pyramid[1:])

	fmt.Println("Answer:", ans)
}

pyramid_test.go

package main

import (
	"sort"
	"testing"
)

var (
	challenge1 = [][]int{
		{4}, // Levels

		{3},
		{7, 4},
		{2, 4, 6},
		{8, 5, 9, 3},
	}
	challenge2 = [][]int{
		{15}, // levels

		{75},
		{95, 64},
		{17, 47, 82},
		{18, 35, 87, 10},
		{20, 4, 82, 47, 65},
		{19, 1, 23, 75, 3, 34},
		{88, 2, 77, 73, 7, 63, 67},
		{99, 65, 4, 28, 6, 16, 70, 92},
		{41, 41, 26, 56, 83, 40, 80, 70, 33},
		{41, 48, 72, 33, 47, 32, 37, 16, 94, 29},
		{53, 71, 44, 65, 25, 43, 91, 52, 97, 51, 14},
		{70, 11, 33, 28, 77, 73, 17, 78, 39, 68, 17, 57},
		{91, 71, 52, 38, 17, 14, 91, 43, 58, 50, 27, 29, 48},
		{63, 66, 4, 68, 89, 53, 67, 30, 73, 16, 69, 87, 40, 31},
		{4, 62, 98, 27, 23, 9, 70, 98, 73, 93, 38, 53, 60, 4, 23},
	}
)

func TestPyramid(t *testing.T) {
	ch1 := shortest(challenge1[1:])
	if ch1 != 16 {
		t.Fatal("wrong")
	}

	ch2 := shortest(challenge2[1:])
	if ch2 != 447 {
		t.Fatal("wrong")
	}

	ch3 := shortest(challenge3[1:])
	if ch3 != 130572 {
		t.Fatal("wrong")
	}
}

var challenge3 = [][]int{
{500},
{435},
{990, 87},
{640, 143, 762},
{744, 674, 991, 204},
{652, 636, 546, 670, 299},
{816, 932, 990, 811, 891, 480},
{446, 853, 292, 156, 97, 935, 751},
{750, 815, 715, 576, 748, 82, 959, 50},
{259, 848, 854, 411, 225, 793, 254, 978, 359},
{879, 264, 354, 893, 425, 316, 103, 294, 816, 473},
{943, 549, 605, 271, 284, 494, 941, 843, 882, 908, 241},
{411, 526, 813, 521, 481, 872, 457, 47, 270, 25, 979, 822},
{904, 997, 645, 989, 970, 926, 822, 347, 816, 809, 604, 98, 829},
{577, 83, 383, 600, 496, 804, 336, 457, 282, 847, 202, 400, 788, 339},
{515, 844, 827, 905, 478, 902, 490, 753, 430, 181, 313, 593, 762, 172, 792},
{594, 694, 369, 32, 912, 103, 172, 740, 113, 975, 505, 450, 979, 133, 817, 527},
{787, 579, 792, 530, 109, 208, 682, 484, 603, 608, 626, 927, 75, 439, 718, 926, 249},
{128, 854, 834, 361, 686, 606, 248, 674, 73, 434, 482, 436, 848, 596, 898, 667, 825, 982},
{573, 367, 45, 954, 152, 393, 695, 961, 170, 324, 504, 375, 806, 54, 746, 471, 798, 758, 248},
{975, 200, 110, 667, 911, 794, 331, 902, 740, 200, 728, 674, 981, 159, 862, 230, 511, 56, 387, 616},
{765, 445, 891, 182, 913, 263, 817, 766, 886, 438, 598, 596, 804, 815, 699, 991, 975, 658, 192, 841, 127},
{523, 787, 267, 936, 951, 20, 992, 271, 258, 407, 738, 741, 681, 976, 392, 311, 286, 477, 781, 763, 308, 6},
{647, 727, 91, 496, 784, 859, 354, 741, 423, 485, 307, 167, 589, 714, 39, 593, 595, 570, 684, 584, 816, 168, 104},
{829, 602, 358, 209, 159, 515, 521, 583, 453, 78, 418, 788, 705, 863, 63, 557, 919, 97, 630, 133, 376, 852, 293, 143},
{13, 612, 708, 743, 353, 183, 599, 255, 405, 923, 512, 129, 486, 826, 352, 894, 724, 245, 751, 675, 302, 940, 679, 991, 170},
{722, 942, 783, 44, 124, 393, 72, 973, 471, 742, 185, 696, 196, 814, 261, 264, 459, 12, 586, 145, 961, 480, 406, 135, 341, 227},
{16, 905, 687, 974, 320, 962, 547, 101, 538, 110, 210, 370, 432, 275, 233, 529, 220, 651, 921, 19, 358, 729, 904, 221, 491, 684, 66},
{675, 156, 992, 808, 633, 305, 902, 56, 206, 292, 572, 427, 63, 731, 254, 779, 349, 587, 911, 637, 22, 878, 45, 87, 291, 659, 288, 395},
{248, 299, 584, 929, 16, 634, 314, 1, 971, 265, 812, 842, 700, 139, 110, 300, 297, 548, 579, 748, 615, 861, 417, 378, 811, 629, 498, 266, 289},
{176, 243, 603, 793, 441, 559, 1, 901, 616, 796, 91, 623, 77, 920, 510, 181, 221, 798, 912, 264, 82, 554, 909, 250, 4, 452, 646, 921, 242, 674},
{324, 194, 87, 620, 92, 260, 994, 123, 636, 317, 247, 25, 235, 766, 874, 139, 249, 341, 917, 504, 791, 148, 629, 188, 809, 19, 890, 645, 916, 853, 901},
{768, 108, 916, 263, 319, 907, 108, 616, 392, 605, 344, 376, 942, 980, 48, 485, 137, 300, 667, 778, 510, 465, 837, 249, 472, 880, 506, 484, 684, 978, 879, 570},
{264, 393, 541, 32, 514, 431, 464, 715, 152, 850, 920, 134, 569, 933, 498, 414, 707, 519, 518, 918, 549, 943, 160, 558, 61, 822, 511, 45, 659, 228, 584, 608, 921},
{72, 30, 203, 314, 478, 972, 880, 162, 483, 860, 771, 960, 662, 707, 88, 392, 197, 448, 659, 78, 434, 356, 786, 209, 228, 677, 586, 648, 198, 662, 629, 32, 595, 172},
{336, 660, 645, 907, 558, 715, 48, 110, 742, 430, 863, 237, 338, 353, 121, 780, 429, 810, 322, 819, 78, 952, 466, 381, 583, 564, 349, 960, 622, 908, 672, 782, 264, 480, 910},
{527, 977, 453, 22, 263, 32, 11, 770, 292, 151, 495, 899, 436, 904, 491, 389, 74, 42, 547, 809, 875, 928, 240, 107, 773, 311, 639, 201, 157, 858, 94, 479, 677, 330, 415, 568},
{325, 743, 173, 817, 640, 643, 836, 525, 8, 410, 926, 290, 5, 556, 152, 817, 671, 144, 774, 140, 384, 770, 79, 472, 765, 56, 864, 884, 653, 192, 360, 548, 724, 930, 788, 548, 779},
{313, 131, 194, 81, 560, 264, 275, 342, 816, 759, 963, 178, 835, 119, 905, 860, 292, 98, 603, 207, 123, 104, 339, 303, 204, 316, 768, 572, 681, 350, 777, 360, 522, 742, 371, 817, 157, 516},
{166, 388, 641, 388, 515, 590, 406, 920, 430, 100, 494, 84, 236, 407, 183, 221, 327, 381, 998, 396, 490, 182, 449, 433, 2, 847, 239, 763, 109, 771, 334, 343, 574, 7, 21, 510, 665, 27, 6},
{613, 347, 120, 690, 679, 477, 71, 979, 133, 458, 162, 374, 854, 183, 823, 636, 413, 63, 449, 26, 390, 614, 973, 953, 79, 380, 844, 918, 738, 910, 916, 746, 757, 183, 606, 501, 787, 89, 382, 904},
{912, 563, 290, 725, 397, 528, 745, 427, 433, 56, 277, 276, 543, 69, 247, 251, 11, 453, 819, 327, 762, 682, 637, 157, 628, 892, 702, 719, 815, 934, 952, 261, 692, 45, 890, 715, 742, 676, 428, 871, 614},
{493, 769, 710, 738, 689, 790, 730, 906, 629, 852, 565, 531, 226, 405, 892, 65, 647, 59, 425, 171, 669, 21, 788, 819, 474, 921, 206, 429, 751, 103, 219, 530, 713, 358, 110, 214, 54, 999, 309, 792, 928, 844},
{830, 688, 731, 408, 690, 550, 868, 122, 347, 10, 682, 906, 434, 258, 443, 786, 435, 875, 603, 514, 499, 913, 542, 392, 305, 294, 662, 541, 716, 985, 34, 910, 5, 256, 713, 197, 580, 560, 516, 679, 479, 234, 289},
{708, 369, 245, 656, 183, 438, 692, 816, 928, 355, 629, 207, 299, 420, 20, 756, 681, 135, 365, 14, 861, 701, 571, 636, 321, 342, 152, 622, 657, 946, 739, 176, 253, 263, 187, 288, 216, 732, 239, 961, 401, 129, 885, 493},
{10, 357, 15, 388, 859, 101, 907, 295, 933, 570, 468, 803, 219, 212, 801, 81, 160, 116, 910, 88, 298, 801, 821, 572, 750, 237, 433, 102, 286, 193, 703, 160, 627, 538, 610, 734, 513, 643, 460, 885, 773, 845, 713, 479, 351},
{842, 501, 679, 765, 960, 367, 776, 978, 460, 615, 660, 20, 454, 812, 549, 999, 530, 627, 597, 342, 894, 217, 667, 152, 686, 771, 849, 663, 153, 693, 272, 594, 510, 94, 389, 71, 677, 965, 188, 513, 520, 419, 712, 481, 893, 842},
{865, 36, 574, 697, 739, 603, 105, 945, 569, 686, 690, 771, 31, 12, 556, 344, 762, 872, 571, 867, 898, 481, 550, 42, 908, 146, 344, 370, 247, 921, 750, 478, 122, 224, 285, 661, 226, 538, 83, 482, 401, 999, 547, 94, 26, 76, 862},
{338, 387, 49, 174, 396, 401, 263, 60, 908, 854, 355, 892, 48, 744, 815, 831, 969, 400, 244, 484, 439, 812, 620, 720, 205, 21, 773, 729, 861, 409, 947, 173, 521, 562, 64, 213, 627, 629, 827, 256, 605, 216, 297, 497, 872, 491, 930, 731},
{925, 548, 390, 442, 842, 33, 587, 875, 563, 748, 565, 682, 709, 203, 783, 683, 591, 69, 318, 537, 227, 143, 281, 363, 894, 647, 509, 878, 765, 679, 185, 262, 621, 188, 583, 704, 540, 107, 612, 610, 692, 187, 131, 470, 68, 605, 290, 737, 41},
{682, 315, 413, 168, 866, 217, 651, 505, 714, 861, 419, 45, 755, 751, 124, 558, 965, 631, 181, 269, 105, 721, 678, 291, 284, 3, 673, 684, 962, 447, 129, 334, 49, 548, 224, 571, 868, 762, 548, 634, 580, 751, 682, 585, 18, 416, 839, 274, 61, 744},
{471, 306, 359, 463, 271, 740, 655, 309, 532, 409, 989, 498, 650, 344, 816, 635, 436, 796, 408, 866, 2, 692, 953, 561, 185, 218, 470, 186, 924, 401, 937, 297, 458, 181, 122, 825, 999, 479, 149, 857, 343, 217, 249, 177, 898, 42, 20, 709, 803, 785, 210},
{848, 96, 298, 276, 353, 414, 382, 912, 141, 319, 977, 354, 839, 131, 641, 479, 407, 136, 621, 663, 453, 103, 490, 868, 187, 325, 422, 700, 55, 822, 647, 11, 193, 915, 531, 169, 820, 102, 34, 297, 544, 61, 5, 610, 364, 672, 871, 511, 838, 106, 831, 215},
{478, 407, 544, 523, 940, 535, 696, 796, 996, 446, 506, 337, 589, 661, 423, 123, 489, 742, 795, 322, 198, 214, 260, 62, 810, 794, 956, 701, 443, 224, 447, 253, 715, 593, 409, 647, 530, 846, 721, 267, 35, 39, 585, 547, 230, 10, 707, 441, 166, 363, 358, 282, 49},
{44, 354, 866, 838, 316, 594, 602, 165, 684, 848, 233, 421, 136, 854, 919, 970, 82, 687, 473, 238, 584, 553, 113, 349, 730, 817, 430, 641, 549, 139, 168, 44, 448, 38, 994, 832, 997, 71, 742, 731, 800, 83, 426, 656, 293, 667, 979, 670, 627, 52, 807, 874, 143, 113},
{159, 25, 553, 132, 847, 638, 707, 181, 12, 240, 627, 770, 483, 168, 629, 465, 788, 78, 493, 733, 994, 855, 4, 184, 404, 170, 733, 721, 574, 303, 561, 839, 249, 213, 277, 471, 586, 11, 591, 307, 490, 156, 16, 518, 937, 721, 356, 124, 957, 9, 31, 46, 302, 655, 29},
{67, 929, 122, 64, 490, 121, 112, 432, 277, 418, 50, 137, 846, 624, 196, 72, 524, 769, 383, 459, 823, 290, 639, 264, 371, 677, 126, 19, 296, 485, 969, 351, 331, 927, 518, 498, 724, 216, 505, 295, 274, 463, 393, 417, 457, 212, 914, 154, 676, 605, 439, 637, 107, 802, 342, 216},
{478, 497, 989, 639, 416, 272, 313, 818, 625, 125, 179, 188, 292, 677, 937, 105, 576, 478, 611, 317, 934, 319, 121, 251, 349, 691, 875, 744, 233, 322, 792, 931, 877, 250, 540, 137, 863, 44, 378, 40, 758, 582, 476, 852, 753, 258, 9, 929, 669, 637, 635, 66, 841, 322, 202, 703, 20},
{260, 634, 414, 315, 786, 10, 320, 627, 462, 771, 563, 744, 159, 860, 530, 478, 913, 322, 333, 792, 769, 595, 914, 865, 234, 247, 283, 420, 948, 428, 550, 463, 924, 652, 895, 777, 976, 825, 66, 131, 16, 640, 761, 184, 515, 530, 107, 500, 760, 396, 395, 899, 466, 239, 490, 647, 967, 625},
{596, 587, 473, 654, 549, 405, 788, 720, 484, 664, 527, 902, 457, 100, 61, 245, 609, 952, 371, 562, 535, 785, 519, 625, 779, 312, 671, 788, 827, 261, 476, 141, 504, 182, 154, 268, 447, 424, 781, 589, 193, 199, 173, 994, 473, 769, 172, 239, 505, 332, 409, 110, 422, 69, 310, 922, 505, 193, 660},
{284, 546, 548, 127, 396, 491, 461, 927, 393, 498, 106, 270, 325, 681, 594, 261, 462, 117, 367, 764, 499, 111, 244, 57, 127, 365, 637, 202, 159, 419, 69, 790, 93, 675, 49, 48, 524, 392, 851, 356, 335, 240, 447, 896, 915, 435, 110, 502, 30, 995, 825, 753, 50, 337, 615, 54, 448, 345, 360, 688},
{403, 998, 512, 877, 301, 860, 333, 419, 731, 5, 941, 808, 286, 508, 506, 683, 129, 190, 367, 976, 804, 154, 750, 465, 226, 585, 9, 265, 110, 371, 963, 408, 398, 406, 79, 830, 351, 817, 593, 2, 87, 955, 729, 914, 271, 711, 311, 381, 615, 605, 900, 391, 534, 161, 635, 797, 96, 235, 484, 755, 927},
{379, 562, 121, 294, 784, 488, 526, 927, 48, 490, 933, 572, 813, 122, 251, 353, 348, 7, 65, 270, 199, 974, 576, 123, 436, 327, 631, 127, 385, 730, 99, 321, 375, 435, 929, 629, 816, 64, 943, 93, 789, 237, 755, 375, 454, 680, 284, 78, 779, 265, 983, 833, 516, 642, 252, 391, 841, 741, 492, 109, 842, 432},
{951, 388, 831, 57, 755, 563, 520, 412, 540, 680, 232, 945, 704, 428, 674, 618, 564, 175, 251, 931, 661, 754, 562, 48, 24, 94, 505, 832, 461, 320, 360, 892, 869, 231, 331, 373, 62, 356, 303, 361, 885, 928, 967, 212, 246, 207, 57, 48, 166, 514, 159, 934, 242, 287, 474, 996, 642, 175, 912, 802, 336, 944, 128},
{906, 371, 531, 465, 331, 823, 101, 266, 141, 538, 370, 704, 964, 863, 775, 84, 477, 384, 297, 574, 434, 91, 857, 452, 756, 507, 288, 232, 573, 44, 745, 511, 882, 258, 376, 976, 655, 756, 705, 752, 823, 176, 964, 220, 545, 90, 75, 499, 557, 670, 511, 12, 228, 641, 664, 932, 121, 421, 552, 903, 498, 297, 981, 40},
{214, 185, 330, 159, 879, 787, 123, 149, 4, 976, 497, 573, 60, 799, 471, 928, 79, 830, 633, 451, 403, 495, 536, 18, 718, 594, 570, 471, 328, 511, 574, 647, 900, 469, 765, 495, 621, 780, 833, 938, 732, 249, 205, 561, 962, 738, 548, 737, 222, 466, 573, 606, 241, 769, 38, 148, 573, 902, 688, 660, 432, 962, 531, 161, 424},
{167, 433, 560, 113, 507, 578, 7, 705, 310, 670, 427, 899, 313, 153, 148, 47, 665, 878, 449, 370, 697, 827, 36, 910, 387, 510, 719, 257, 199, 610, 39, 865, 384, 290, 164, 978, 871, 334, 185, 696, 616, 957, 816, 798, 629, 687, 605, 249, 945, 184, 975, 167, 475, 264, 836, 221, 15, 658, 995, 46, 702, 243, 364, 281, 848, 572},
{744, 263, 387, 553, 57, 239, 144, 1, 986, 210, 772, 651, 386, 151, 446, 910, 229, 414, 361, 262, 576, 566, 678, 787, 772, 804, 797, 699, 79, 320, 723, 124, 18, 710, 893, 639, 12, 564, 18, 243, 268, 898, 350, 442, 469, 949, 372, 217, 569, 198, 23, 397, 830, 143, 455, 848, 350, 516, 817, 511, 474, 103, 675, 966, 869, 290, 538},
{682, 543, 785, 393, 518, 763, 682, 271, 390, 647, 216, 683, 197, 196, 68, 139, 266, 649, 89, 110, 597, 379, 609, 511, 136, 933, 337, 196, 132, 502, 979, 994, 434, 802, 329, 581, 198, 317, 528, 788, 63, 889, 638, 42, 335, 913, 435, 247, 89, 734, 542, 847, 363, 444, 669, 705, 880, 916, 693, 163, 730, 831, 788, 934, 548, 399, 624, 435},
{570, 714, 884, 782, 797, 958, 25, 996, 202, 158, 227, 838, 568, 866, 954, 324, 57, 896, 409, 215, 67, 204, 426, 661, 280, 130, 39, 758, 55, 452, 34, 974, 485, 143, 279, 294, 505, 271, 545, 436, 406, 264, 791, 712, 995, 582, 646, 896, 435, 937, 881, 7, 453, 380, 246, 52, 280, 922, 893, 564, 95, 896, 39, 270, 234, 898, 158, 316, 707},
{17, 231, 272, 792, 984, 52, 571, 608, 98, 619, 127, 612, 950, 947, 609, 899, 579, 441, 284, 36, 136, 132, 369, 899, 28, 675, 568, 694, 349, 974, 827, 836, 519, 719, 384, 897, 266, 903, 869, 191, 491, 614, 544, 824, 85, 988, 770, 293, 468, 250, 467, 737, 487, 184, 590, 26, 310, 219, 676, 716, 136, 533, 77, 771, 852, 256, 814, 644, 261, 876},
{912, 939, 124, 424, 639, 442, 89, 876, 376, 708, 493, 483, 686, 779, 136, 402, 760, 834, 422, 116, 586, 755, 632, 575, 123, 641, 701, 935, 210, 294, 606, 31, 206, 562, 320, 448, 128, 233, 392, 188, 603, 834, 359, 396, 72, 340, 576, 595, 506, 220, 566, 173, 362, 765, 656, 628, 617, 860, 482, 204, 511, 648, 940, 115, 55, 639, 294, 504, 453, 870, 439},
{669, 337, 639, 780, 811, 112, 205, 782, 801, 772, 597, 13, 986, 264, 336, 426, 87, 842, 430, 700, 602, 897, 496, 674, 965, 410, 225, 326, 890, 537, 703, 272, 951, 828, 288, 460, 487, 225, 842, 605, 320, 291, 128, 905, 630, 129, 76, 766, 561, 996, 474, 567, 763, 979, 316, 10, 166, 968, 709, 187, 692, 790, 763, 362, 521, 608, 317, 334, 745, 573, 731, 417},
{989, 311, 206, 314, 591, 4, 256, 568, 464, 730, 42, 867, 663, 241, 228, 213, 941, 521, 923, 818, 341, 365, 31, 698, 927, 644, 46, 62, 337, 135, 929, 10, 716, 567, 186, 534, 949, 22, 693, 496, 853, 934, 144, 68, 113, 729, 189, 135, 322, 552, 491, 258, 426, 658, 944, 112, 257, 756, 253, 760, 572, 16, 906, 734, 250, 504, 366, 640, 817, 534, 889, 948, 521},
{773, 52, 685, 510, 4, 446, 980, 535, 89, 441, 817, 753, 71, 167, 867, 844, 276, 88, 999, 683, 21, 615, 902, 214, 754, 219, 285, 22, 489, 420, 262, 335, 971, 840, 898, 830, 318, 239, 327, 671, 796, 61, 504, 654, 6, 594, 489, 240, 955, 247, 36, 455, 468, 814, 429, 386, 854, 873, 753, 39, 63, 570, 171, 831, 352, 181, 417, 882, 73, 744, 401, 575, 330, 4},
{707, 546, 130, 624, 849, 425, 134, 388, 305, 91, 262, 652, 729, 222, 227, 845, 266, 180, 538, 225, 517, 53, 620, 384, 589, 798, 503, 282, 591, 8, 931, 645, 115, 742, 875, 661, 498, 276, 144, 799, 161, 336, 204, 480, 860, 635, 398, 22, 526, 25, 434, 3, 206, 640, 401, 696, 769, 780, 619, 758, 226, 46, 280, 689, 897, 510, 197, 886, 248, 283, 972, 322, 864, 855, 561},
{938, 923, 30, 473, 888, 526, 105, 888, 646, 414, 176, 524, 842, 933, 106, 403, 376, 587, 736, 590, 24, 130, 380, 570, 265, 6, 517, 178, 514, 822, 845, 890, 276, 703, 572, 860, 12, 595, 841, 284, 661, 49, 768, 563, 821, 543, 365, 249, 575, 187, 998, 956, 829, 473, 709, 255, 811, 854, 838, 43, 73, 77, 916, 96, 924, 566, 722, 245, 774, 705, 728, 133, 201, 455, 901, 615},
{946, 655, 963, 653, 237, 283, 778, 960, 933, 96, 487, 796, 103, 391, 373, 991, 502, 43, 206, 754, 328, 605, 13, 812, 352, 18, 765, 200, 204, 375, 518, 346, 143, 293, 867, 161, 135, 653, 452, 510, 418, 856, 395, 778, 40, 304, 218, 248, 35, 503, 757, 676, 16, 38, 76, 721, 947, 691, 144, 890, 785, 153, 364, 267, 489, 55, 601, 557, 635, 613, 478, 945, 478, 723, 119, 830, 858},
{210, 414, 749, 794, 840, 139, 729, 926, 845, 923, 827, 271, 928, 183, 873, 871, 197, 579, 279, 13, 982, 495, 306, 642, 288, 302, 382, 521, 459, 904, 882, 398, 734, 161, 305, 223, 532, 316, 901, 983, 676, 474, 657, 271, 279, 510, 963, 89, 683, 536, 453, 733, 671, 180, 249, 807, 133, 509, 314, 532, 540, 372, 670, 606, 844, 279, 8, 742, 885, 772, 619, 923, 986, 329, 635, 118, 194, 500},
{256, 899, 519, 934, 70, 958, 639, 337, 540, 969, 704, 228, 460, 675, 340, 571, 486, 308, 437, 930, 894, 678, 31, 885, 316, 367, 437, 805, 549, 434, 822, 957, 496, 993, 546, 139, 902, 822, 937, 693, 846, 862, 677, 782, 862, 151, 551, 293, 192, 215, 164, 580, 862, 426, 155, 546, 249, 147, 536, 213, 281, 773, 71, 49, 718, 922, 998, 770, 757, 88, 15, 270, 782, 62, 122, 596, 237, 302, 863},
{630, 464, 191, 521, 215, 822, 873, 998, 28, 566, 882, 541, 379, 779, 358, 895, 493, 124, 987, 215, 547, 257, 182, 834, 879, 607, 187, 16, 348, 568, 970, 892, 783, 308, 761, 178, 809, 116, 63, 589, 117, 623, 804, 598, 430, 282, 54, 861, 990, 207, 378, 593, 378, 874, 495, 237, 868, 168, 348, 22, 370, 962, 106, 352, 125, 803, 876, 562, 38, 172, 118, 231, 474, 554, 828, 141, 819, 785, 605, 943},
{911, 138, 562, 798, 696, 225, 924, 552, 122, 87, 850, 505, 306, 745, 619, 487, 505, 120, 928, 692, 245, 423, 408, 748, 266, 84, 886, 533, 607, 778, 117, 572, 227, 395, 917, 225, 61, 597, 667, 466, 304, 209, 142, 804, 13, 806, 490, 744, 813, 761, 6, 262, 659, 463, 968, 968, 32, 598, 493, 967, 984, 206, 782, 943, 696, 638, 625, 697, 986, 741, 264, 138, 360, 292, 13, 753, 711, 203, 124, 702, 787},
{79, 416, 969, 859, 456, 169, 469, 807, 462, 577, 610, 55, 697, 869, 565, 300, 844, 806, 434, 44, 905, 891, 556, 259, 948, 50, 447, 394, 6, 954, 251, 74, 21, 439, 105, 488, 805, 630, 558, 495, 585, 556, 993, 861, 40, 947, 59, 927, 687, 907, 255, 192, 120, 911, 162, 992, 839, 332, 269, 477, 399, 310, 9, 534, 139, 346, 381, 222, 55, 401, 522, 489, 241, 658, 667, 668, 901, 372, 216, 306, 161, 338},
{35, 375, 736, 659, 704, 824, 117, 381, 156, 700, 30, 507, 12, 809, 845, 661, 15, 983, 59, 366, 107, 545, 130, 502, 87, 483, 806, 15, 295, 190, 469, 362, 418, 363, 212, 490, 366, 784, 113, 365, 121, 286, 601, 216, 630, 126, 914, 670, 64, 409, 385, 924, 264, 904, 703, 916, 765, 839, 354, 246, 575, 793, 147, 233, 771, 837, 145, 74, 114, 416, 287, 547, 25, 336, 729, 65, 751, 358, 238, 190, 8, 563, 984},
{902, 136, 662, 727, 21, 665, 823, 696, 165, 157, 477, 445, 579, 394, 736, 561, 935, 324, 774, 415, 982, 594, 492, 36, 495, 204, 333, 834, 573, 579, 907, 96, 724, 298, 394, 99, 547, 845, 356, 264, 82, 15, 677, 959, 48, 974, 847, 454, 256, 642, 672, 33, 473, 692, 832, 498, 867, 436, 396, 96, 979, 851, 511, 408, 833, 243, 27, 913, 416, 356, 713, 732, 248, 302, 98, 511, 186, 302, 641, 564, 906, 98, 179, 128},
{765, 843, 30, 50, 821, 438, 216, 302, 881, 566, 522, 473, 358, 128, 956, 787, 563, 385, 314, 253, 840, 895, 138, 272, 582, 220, 370, 418, 751, 468, 365, 83, 3, 996, 753, 426, 877, 926, 846, 366, 830, 721, 879, 368, 32, 754, 428, 419, 12, 650, 740, 920, 190, 203, 583, 151, 255, 834, 402, 617, 186, 891, 300, 867, 420, 553, 320, 266, 298, 765, 35, 848, 468, 400, 281, 600, 361, 815, 150, 409, 201, 51, 22, 504, 265},
{214, 533, 420, 286, 978, 818, 372, 935, 736, 303, 480, 302, 632, 601, 457, 189, 641, 781, 203, 790, 856, 399, 277, 49, 380, 171, 326, 558, 558, 160, 412, 400, 798, 593, 595, 713, 911, 248, 285, 94, 709, 433, 641, 178, 593, 173, 737, 861, 997, 153, 290, 660, 846, 343, 508, 656, 636, 1, 27, 325, 362, 905, 922, 282, 263, 302, 566, 663, 281, 962, 392, 421, 223, 242, 734, 272, 806, 723, 544, 433, 205, 335, 125, 566, 213, 383},
{77, 527, 874, 981, 223, 636, 268, 794, 655, 176, 150, 821, 976, 743, 334, 217, 445, 886, 11, 768, 2, 206, 673, 699, 107, 689, 989, 946, 884, 643, 718, 904, 339, 955, 734, 911, 294, 837, 340, 417, 291, 412, 288, 868, 853, 677, 368, 837, 450, 463, 986, 787, 981, 946, 894, 218, 805, 186, 111, 600, 167, 927, 126, 635, 394, 602, 687, 914, 363, 68, 799, 950, 552, 112, 99, 902, 486, 194, 445, 65, 452, 170, 367, 303, 206, 9, 997},
{214, 759, 606, 286, 708, 488, 871, 534, 103, 493, 169, 781, 564, 604, 80, 168, 936, 423, 173, 143, 555, 559, 162, 348, 644, 572, 367, 27, 301, 138, 904, 98, 843, 682, 371, 371, 545, 43, 110, 959, 355, 699, 311, 625, 256, 820, 318, 663, 313, 620, 501, 925, 319, 529, 982, 784, 168, 292, 300, 119, 741, 368, 841, 926, 141, 979, 490, 783, 554, 707, 468, 171, 924, 796, 811, 632, 827, 250, 242, 845, 685, 322, 488, 945, 480, 256, 222, 852},
{662, 991, 891, 937, 808, 55, 674, 97, 917, 95, 671, 181, 911, 296, 228, 769, 44, 457, 995, 504, 433, 644, 903, 513, 860, 139, 747, 1, 305, 883, 504, 742, 432, 734, 789, 32, 407, 619, 108, 628, 921, 111, 676, 386, 331, 63, 637, 523, 112, 647, 406, 977, 663, 578, 769, 846, 624, 338, 92, 735, 470, 965, 645, 696, 151, 307, 658, 569, 906, 682, 141, 713, 233, 596, 928, 566, 126, 459, 676, 952, 410, 290, 713, 806, 919, 19, 798, 806, 767},
{315, 766, 444, 754, 851, 40, 219, 199, 497, 720, 951, 144, 262, 772, 738, 922, 706, 368, 658, 520, 138, 66, 159, 68, 177, 893, 6, 33, 145, 766, 774, 367, 321, 932, 127, 964, 312, 302, 530, 257, 638, 556, 677, 666, 216, 949, 558, 953, 531, 557, 47, 203, 209, 536, 909, 279, 128, 640, 338, 141, 413, 840, 456, 311, 434, 396, 782, 128, 420, 155, 278, 149, 392, 143, 460, 228, 927, 765, 13, 337, 691, 39, 487, 146, 741, 333, 971, 764, 405, 38},
{55, 803, 874, 405, 19, 82, 782, 587, 968, 921, 683, 559, 495, 925, 783, 150, 586, 540, 258, 914, 697, 530, 191, 942, 288, 653, 523, 984, 695, 494, 369, 478, 883, 381, 744, 137, 492, 777, 18, 797, 600, 358, 418, 113, 805, 212, 490, 484, 535, 268, 730, 387, 984, 96, 514, 840, 732, 681, 60, 314, 844, 647, 396, 830, 271, 653, 216, 329, 411, 398, 43, 657, 999, 723, 385, 679, 883, 797, 375, 83, 838, 272, 975, 425, 298, 599, 971, 853, 759, 389, 834},
{699, 680, 829, 35, 860, 865, 690, 531, 470, 712, 368, 980, 868, 203, 755, 666, 281, 164, 471, 274, 955, 201, 115, 425, 716, 624, 769, 305, 10, 886, 954, 812, 589, 298, 540, 417, 898, 263, 978, 295, 65, 880, 316, 399, 184, 504, 84, 796, 232, 795, 122, 33, 484, 857, 797, 251, 850, 293, 895, 528, 846, 391, 630, 192, 263, 204, 888, 922, 758, 994, 789, 48, 708, 342, 106, 784, 643, 268, 913, 140, 530, 851, 70, 792, 958, 191, 766, 563, 15, 990, 480, 32},
{273, 730, 55, 413, 846, 153, 556, 89, 909, 762, 801, 76, 419, 113, 110, 269, 49, 968, 956, 526, 495, 788, 662, 525, 378, 597, 154, 844, 947, 34, 151, 929, 670, 227, 810, 411, 571, 231, 17, 769, 889, 931, 975, 484, 204, 690, 741, 598, 701, 503, 619, 124, 650, 153, 115, 820, 490, 598, 278, 650, 136, 889, 802, 657, 254, 987, 237, 121, 291, 184, 999, 549, 979, 273, 673, 512, 893, 202, 233, 358, 381, 736, 436, 572, 867, 540, 600, 922, 88, 206, 387, 545, 267},
{946, 8, 819, 674, 85, 485, 234, 240, 8, 205, 402, 120, 942, 32, 101, 208, 802, 661, 449, 575, 304, 753, 364, 749, 800, 588, 15, 550, 535, 660, 299, 928, 531, 669, 293, 879, 982, 831, 200, 50, 774, 273, 603, 79, 733, 582, 708, 88, 312, 228, 808, 964, 665, 667, 472, 270, 502, 442, 754, 640, 673, 453, 329, 557, 187, 921, 569, 215, 212, 235, 484, 10, 720, 995, 893, 873, 553, 128, 382, 269, 122, 789, 385, 154, 406, 204, 231, 662, 631, 251, 66, 546, 789, 793},
{390, 643, 184, 285, 358, 785, 298, 148, 73, 578, 575, 785, 884, 437, 171, 860, 71, 105, 329, 631, 360, 647, 786, 755, 464, 554, 557, 927, 166, 176, 498, 131, 518, 175, 300, 69, 434, 60, 938, 574, 225, 152, 148, 390, 724, 538, 204, 734, 197, 645, 142, 499, 624, 90, 546, 764, 869, 357, 237, 547, 858, 700, 477, 331, 224, 342, 832, 24, 734, 723, 428, 381, 480, 68, 159, 857, 6, 949, 357, 89, 468, 958, 519, 876, 501, 740, 955, 662, 641, 905, 674, 934, 70, 350, 332},
{924, 933, 485, 874, 249, 709, 794, 336, 855, 912, 876, 321, 753, 931, 869, 911, 520, 952, 708, 66, 514, 718, 208, 116, 47, 359, 343, 626, 511, 630, 457, 704, 603, 680, 299, 833, 341, 920, 967, 435, 519, 634, 847, 677, 626, 721, 586, 465, 3, 387, 979, 183, 206, 631, 430, 512, 124, 110, 257, 564, 383, 312, 746, 645, 968, 50, 276, 199, 798, 889, 231, 874, 180, 553, 737, 179, 722, 273, 400, 920, 264, 751, 350, 459, 818, 701, 906, 816, 384, 869, 72, 879, 678, 119, 886, 220},
{527, 371, 412, 570, 676, 195, 717, 608, 248, 376, 797, 519, 953, 77, 792, 725, 402, 84, 221, 316, 572, 213, 181, 935, 547, 140, 683, 340, 145, 818, 276, 379, 938, 158, 156, 918, 488, 821, 812, 76, 295, 862, 40, 221, 110, 375, 844, 361, 761, 548, 386, 907, 563, 252, 570, 318, 737, 816, 349, 801, 983, 728, 94, 71, 511, 800, 606, 113, 362, 762, 510, 120, 859, 331, 748, 962, 331, 572, 903, 83, 53, 748, 864, 260, 547, 928, 146, 500, 923, 329, 821, 166, 948, 755, 588, 602, 951},
{513, 966, 688, 438, 861, 19, 172, 511, 415, 243, 168, 813, 896, 505, 905, 726, 303, 966, 673, 966, 848, 968, 913, 601, 16, 739, 585, 675, 678, 623, 260, 360, 519, 240, 869, 529, 918, 620, 676, 156, 67, 891, 833, 786, 313, 541, 848, 594, 655, 629, 363, 228, 838, 568, 932, 730, 754, 265, 922, 285, 686, 472, 168, 478, 499, 185, 836, 17, 32, 773, 763, 600, 809, 372, 616, 719, 680, 678, 423, 701, 143, 980, 354, 230, 921, 671, 178, 913, 843, 969, 459, 216, 164, 863, 405, 185, 280, 511},
{249, 12, 202, 472, 181, 357, 247, 185, 163, 792, 168, 28, 366, 449, 318, 175, 631, 142, 535, 189, 69, 839, 130, 974, 854, 317, 727, 271, 369, 246, 779, 333, 13, 751, 176, 851, 469, 705, 815, 418, 694, 609, 910, 63, 638, 964, 512, 460, 533, 434, 14, 444, 621, 957, 390, 338, 351, 190, 511, 459, 390, 306, 196, 865, 308, 256, 551, 42, 387, 4, 790, 757, 840, 168, 926, 787, 656, 725, 652, 508, 393, 154, 302, 654, 506, 422, 959, 688, 233, 778, 704, 279, 595, 144, 454, 381, 850, 232, 118},
{281, 589, 246, 539, 750, 719, 68, 271, 161, 786, 431, 333, 988, 440, 453, 936, 664, 346, 270, 616, 120, 538, 212, 333, 710, 23, 160, 894, 402, 417, 224, 462, 264, 554, 871, 27, 318, 273, 986, 453, 757, 81, 124, 127, 392, 944, 371, 265, 923, 267, 857, 701, 322, 9, 889, 304, 155, 987, 132, 217, 156, 618, 20, 813, 754, 757, 825, 571, 518, 851, 388, 97, 692, 270, 563, 160, 109, 608, 857, 922, 721, 703, 546, 510, 973, 308, 829, 684, 981, 693, 205, 674, 275, 911, 301, 143, 439, 104, 867, 848},
{558, 41, 488, 846, 788, 996, 845, 921, 749, 216, 53, 554, 669, 447, 635, 914, 377, 470, 254, 240, 323, 99, 146, 513, 745, 879, 551, 511, 34, 599, 134, 148, 58, 752, 475, 535, 993, 312, 277, 336, 724, 526, 818, 787, 427, 950, 548, 245, 348, 614, 433, 221, 112, 30, 831, 665, 108, 746, 203, 669, 640, 280, 943, 873, 561, 552, 973, 590, 54, 410, 496, 81, 69, 420, 512, 458, 690, 876, 266, 421, 349, 897, 773, 399, 383, 545, 4, 692, 907, 149, 46, 906, 354, 387, 859, 305, 301, 243, 758, 699, 427},
{618, 845, 151, 512, 297, 19, 81, 417, 904, 11, 331, 884, 728, 161, 353, 813, 551, 262, 976, 394, 157, 879, 146, 119, 797, 999, 598, 210, 700, 723, 716, 457, 636, 993, 676, 811, 715, 26, 576, 313, 776, 183, 461, 131, 221, 549, 5, 515, 664, 312, 166, 472, 544, 413, 297, 832, 697, 591, 39, 181, 953, 94, 826, 788, 28, 807, 993, 320, 295, 554, 244, 560, 602, 545, 775, 829, 902, 802, 404, 84, 327, 462, 862, 902, 311, 423, 854, 708, 507, 789, 552, 586, 520, 894, 956, 37, 954, 474, 956, 818, 856, 737},
{982, 801, 412, 653, 847, 421, 675, 786, 768, 886, 172, 371, 566, 752, 450, 154, 742, 873, 64, 726, 454, 34, 987, 667, 433, 709, 172, 873, 511, 584, 820, 845, 768, 367, 953, 548, 238, 436, 21, 709, 764, 611, 634, 45, 870, 91, 969, 974, 417, 235, 44, 828, 458, 384, 845, 432, 897, 372, 263, 199, 507, 718, 852, 567, 376, 760, 749, 681, 126, 130, 459, 708, 50, 57, 818, 83, 898, 946, 166, 276, 215, 576, 640, 374, 927, 12, 571, 907, 467, 69, 131, 830, 766, 724, 757, 537, 351, 389, 396, 107, 187, 372, 257},
{697, 51, 178, 610, 178, 3, 502, 139, 629, 949, 920, 489, 301, 385, 315, 961, 974, 144, 990, 736, 457, 403, 329, 624, 115, 238, 544, 115, 913, 726, 784, 386, 453, 9, 383, 44, 857, 699, 547, 568, 189, 761, 137, 849, 268, 261, 484, 715, 390, 474, 394, 88, 449, 390, 558, 227, 411, 49, 633, 556, 906, 55, 126, 730, 956, 258, 71, 911, 487, 869, 178, 728, 342, 216, 791, 25, 962, 905, 510, 267, 756, 465, 772, 481, 478, 372, 66, 661, 568, 989, 661, 849, 547, 122, 934, 546, 985, 765, 430, 633, 515, 194, 746, 764},
{619, 655, 260, 45, 663, 838, 447, 867, 737, 742, 270, 987, 390, 739, 703, 247, 287, 435, 961, 903, 134, 394, 413, 166, 954, 918, 482, 368, 967, 849, 63, 208, 837, 790, 82, 588, 49, 254, 928, 922, 521, 960, 358, 194, 331, 941, 350, 673, 608, 149, 180, 962, 237, 985, 563, 958, 4, 556, 374, 377, 199, 449, 841, 749, 513, 556, 563, 163, 254, 780, 927, 570, 536, 467, 745, 192, 112, 56, 984, 388, 934, 759, 501, 405, 386, 37, 580, 542, 344, 260, 922, 642, 886, 238, 408, 261, 509, 207, 640, 530, 183, 479, 767, 516, 420},
{211, 555, 815, 837, 603, 13, 251, 315, 483, 136, 793, 999, 345, 486, 232, 842, 886, 408, 724, 277, 532, 643, 62, 942, 663, 980, 383, 68, 104, 389, 117, 234, 903, 737, 134, 773, 619, 841, 426, 971, 99, 49, 182, 575, 245, 17, 756, 868, 357, 620, 882, 687, 413, 184, 444, 334, 118, 341, 271, 279, 603, 861, 712, 925, 433, 743, 187, 473, 965, 702, 523, 76, 169, 940, 662, 121, 739, 763, 214, 381, 690, 150, 437, 249, 668, 878, 439, 13, 874, 174, 779, 381, 875, 142, 208, 50, 523, 440, 977, 144, 902, 731, 2, 779, 517, 479},
{169, 837, 874, 555, 276, 270, 292, 933, 382, 903, 984, 479, 842, 771, 454, 483, 954, 449, 775, 94, 910, 731, 642, 282, 708, 275, 906, 289, 808, 490, 948, 781, 529, 60, 376, 103, 653, 948, 486, 47, 251, 653, 391, 599, 478, 767, 938, 932, 981, 622, 368, 744, 606, 881, 169, 728, 273, 505, 733, 538, 278, 402, 223, 147, 767, 435, 524, 881, 795, 193, 307, 751, 232, 56, 952, 910, 725, 675, 574, 200, 110, 913, 432, 801, 901, 662, 801, 913, 992, 748, 739, 272, 275, 274, 282, 35, 651, 360, 286, 269, 855, 233, 530, 784, 529, 972, 707},
{590, 285, 95, 615, 586, 829, 274, 218, 412, 796, 207, 216, 566, 610, 563, 445, 981, 591, 456, 719, 299, 502, 666, 694, 937, 892, 92, 963, 905, 979, 565, 864, 29, 202, 197, 427, 867, 301, 899, 450, 181, 525, 580, 981, 174, 523, 774, 358, 188, 593, 170, 508, 667, 237, 551, 480, 486, 336, 182, 977, 690, 917, 541, 245, 770, 136, 633, 831, 407, 28, 787, 582, 424, 636, 996, 722, 410, 278, 348, 34, 14, 114, 36, 968, 475, 678, 767, 947, 332, 685, 138, 298, 572, 286, 655, 971, 724, 879, 689, 705, 507, 786, 553, 304, 693, 325, 288, 520},
{795, 308, 512, 401, 13, 599, 850, 997, 645, 101, 55, 108, 846, 478, 914, 35, 141, 4, 450, 415, 605, 132, 682, 833, 18, 803, 482, 292, 528, 18, 616, 588, 621, 920, 128, 319, 238, 505, 619, 540, 917, 38, 825, 58, 743, 488, 124, 975, 679, 578, 260, 383, 636, 517, 621, 2, 193, 177, 845, 221, 474, 203, 440, 171, 115, 539, 311, 404, 572, 941, 827, 311, 337, 326, 96, 609, 715, 192, 626, 117, 966, 970, 454, 565, 505, 855, 103, 348, 796, 561, 454, 11, 346, 519, 731, 711, 863, 191, 307, 93, 304, 570, 975, 773, 976, 414, 677, 170, 326},
{468, 372, 452, 315, 709, 932, 223, 555, 684, 473, 962, 459, 88, 475, 338, 736, 80, 443, 264, 477, 247, 610, 958, 946, 745, 353, 355, 924, 912, 604, 873, 140, 564, 492, 6, 864, 255, 876, 136, 241, 27, 225, 734, 284, 543, 483, 389, 782, 65, 220, 147, 515, 411, 337, 283, 321, 915, 70, 930, 515, 392, 822, 957, 118, 298, 638, 122, 130, 613, 744, 789, 827, 415, 653, 451, 705, 797, 777, 861, 176, 547, 367, 862, 647, 957, 848, 866, 874, 264, 332, 537, 806, 439, 122, 396, 251, 521, 576, 1, 793, 202, 517, 819, 342, 160, 757, 145, 590, 480, 937},
{223, 429, 579, 70, 254, 77, 224, 622, 105, 261, 606, 970, 354, 317, 957, 324, 776, 448, 819, 22, 482, 747, 960, 199, 705, 770, 867, 395, 696, 602, 905, 631, 216, 383, 526, 850, 918, 209, 346, 373, 296, 163, 536, 222, 922, 3, 717, 710, 433, 674, 481, 736, 83, 389, 721, 560, 712, 509, 217, 688, 678, 800, 251, 680, 610, 973, 645, 292, 864, 570, 252, 427, 218, 367, 821, 754, 622, 493, 161, 716, 823, 338, 694, 866, 284, 167, 816, 135, 81, 68, 975, 671, 456, 499, 984, 363, 208, 243, 922, 2, 428, 976, 896, 341, 938, 91, 46, 945, 392, 566, 450},
{856, 161, 931, 12, 532, 65, 370, 946, 473, 473, 15, 270, 198, 536, 378, 538, 977, 103, 601, 156, 825, 429, 951, 754, 777, 885, 556, 509, 414, 705, 886, 770, 915, 291, 914, 59, 672, 690, 174, 294, 631, 664, 183, 109, 94, 165, 831, 240, 653, 178, 344, 285, 315, 588, 399, 557, 626, 165, 816, 371, 793, 795, 981, 882, 378, 825, 853, 486, 130, 749, 936, 886, 923, 482, 114, 150, 560, 179, 578, 484, 404, 866, 406, 977, 442, 181, 516, 283, 374, 127, 829, 46, 764, 124, 479, 924, 118, 521, 809, 186, 996, 435, 739, 213, 915, 3, 763, 725, 825, 100, 520, 165},
{444, 156, 385, 459, 566, 953, 968, 395, 729, 183, 785, 848, 330, 110, 580, 464, 330, 906, 977, 740, 206, 87, 185, 85, 676, 990, 448, 109, 50, 485, 846, 346, 745, 839, 793, 599, 651, 285, 303, 334, 493, 875, 677, 890, 346, 101, 798, 796, 713, 167, 571, 138, 366, 972, 435, 754, 269, 594, 47, 35, 479, 527, 389, 196, 846, 23, 581, 244, 727, 593, 621, 254, 680, 192, 132, 224, 300, 596, 937, 501, 911, 270, 962, 725, 859, 328, 510, 275, 504, 283, 451, 472, 848, 902, 230, 156, 911, 880, 888, 794, 610, 1, 499, 12, 894, 135, 482, 239, 337, 723, 324, 242, 189},
{347, 68, 421, 177, 641, 830, 119, 933, 47, 266, 644, 34, 867, 560, 372, 43, 659, 69, 48, 866, 243, 150, 409, 946, 538, 92, 309, 538, 954, 286, 816, 372, 323, 987, 170, 513, 186, 13, 39, 96, 830, 758, 299, 954, 610, 781, 372, 836, 933, 941, 274, 28, 833, 851, 679, 729, 135, 929, 685, 452, 92, 890, 462, 33, 797, 893, 648, 604, 813, 907, 182, 17, 234, 59, 225, 730, 846, 867, 987, 196, 110, 313, 548, 59, 468, 607, 227, 338, 873, 400, 642, 869, 480, 918, 402, 918, 173, 166, 230, 821, 983, 902, 458, 954, 448, 609, 32, 83, 669, 965, 537, 388, 180, 734},
{341, 71, 693, 71, 616, 443, 488, 413, 874, 855, 485, 101, 654, 643, 35, 778, 187, 510, 57, 460, 149, 399, 451, 868, 161, 986, 650, 259, 249, 355, 731, 515, 343, 290, 813, 710, 814, 913, 312, 708, 139, 22, 219, 596, 78, 618, 782, 941, 151, 579, 820, 912, 776, 315, 450, 257, 162, 576, 184, 68, 937, 273, 196, 986, 554, 271, 53, 234, 676, 685, 346, 437, 157, 62, 509, 724, 674, 236, 507, 987, 820, 345, 287, 505, 213, 641, 571, 357, 209, 298, 88, 207, 932, 361, 357, 15, 610, 365, 964, 251, 685, 888, 581, 979, 752, 525, 126, 949, 144, 308, 125, 507, 918, 622, 720},
{693, 50, 40, 807, 370, 876, 311, 452, 595, 254, 942, 107, 761, 374, 431, 97, 197, 942, 214, 556, 28, 251, 846, 255, 109, 685, 747, 752, 736, 404, 60, 927, 684, 209, 888, 203, 806, 154, 145, 739, 108, 41, 754, 447, 699, 762, 809, 899, 499, 407, 539, 185, 903, 125, 625, 221, 893, 45, 501, 342, 199, 921, 738, 792, 231, 807, 532, 302, 444, 721, 600, 130, 688, 223, 503, 746, 873, 829, 530, 887, 995, 382, 800, 815, 138, 891, 151, 459, 583, 820, 741, 556, 589, 520, 7, 62, 675, 274, 777, 841, 525, 465, 901, 121, 696, 456, 679, 245, 412, 103, 782, 50, 608, 261, 112, 555},
{297, 252, 185, 742, 27, 17, 291, 899, 911, 601, 572, 384, 245, 707, 640, 687, 205, 253, 104, 379, 524, 290, 614, 809, 293, 164, 631, 512, 255, 506, 139, 830, 52, 493, 986, 654, 868, 837, 317, 103, 868, 134, 847, 591, 594, 499, 342, 33, 257, 952, 739, 832, 445, 601, 791, 937, 353, 483, 978, 451, 26, 898, 724, 210, 511, 129, 591, 309, 39, 749, 259, 744, 498, 111, 532, 241, 600, 190, 560, 838, 16, 699, 730, 28, 724, 266, 403, 13, 553, 501, 785, 248, 594, 21, 752, 469, 791, 800, 342, 329, 477, 772, 16, 138, 62, 253, 461, 394, 404, 588, 921, 525, 585, 423, 534, 719, 974},
{91, 164, 809, 489, 960, 534, 905, 894, 998, 277, 909, 843, 416, 663, 69, 119, 41, 380, 458, 182, 971, 693, 659, 708, 135, 749, 913, 282, 611, 550, 727, 760, 984, 367, 248, 157, 494, 943, 708, 33, 490, 893, 922, 525, 550, 93, 84, 125, 598, 723, 122, 228, 576, 850, 476, 319, 513, 64, 423, 339, 336, 772, 29, 457, 391, 194, 398, 960, 450, 935, 134, 462, 922, 357, 812, 933, 89, 556, 859, 362, 454, 929, 416, 957, 730, 709, 648, 938, 519, 824, 507, 857, 520, 693, 108, 358, 958, 277, 736, 981, 983, 853, 10, 398, 985, 458, 856, 972, 122, 901, 784, 136, 880, 580, 383, 402, 160, 44},
{133, 212, 172, 434, 350, 3, 461, 457, 560, 27, 474, 507, 649, 485, 384, 923, 931, 487, 369, 143, 630, 180, 95, 670, 368, 172, 970, 390, 942, 3, 613, 713, 76, 21, 76, 476, 807, 456, 598, 262, 932, 907, 34, 91, 189, 686, 658, 974, 918, 728, 748, 886, 569, 807, 198, 131, 722, 847, 434, 886, 280, 2, 67, 7, 100, 22, 41, 720, 599, 117, 534, 15, 829, 180, 475, 865, 78, 763, 367, 401, 328, 642, 31, 315, 788, 140, 16, 553, 279, 670, 652, 354, 468, 78, 183, 229, 836, 451, 941, 367, 752, 51, 307, 234, 256, 866, 50, 853, 962, 119, 704, 380, 15, 685, 839, 74, 149, 72, 418},
{742, 767, 16, 978, 8, 354, 235, 23, 544, 716, 158, 834, 541, 293, 688, 910, 202, 221, 188, 350, 75, 920, 890, 833, 337, 741, 923, 255, 956, 576, 935, 713, 810, 436, 103, 291, 435, 683, 938, 996, 70, 1, 902, 322, 44, 188, 281, 62, 370, 580, 169, 490, 605, 213, 719, 466, 663, 842, 952, 802, 272, 628, 574, 37, 210, 527, 227, 793, 280, 485, 504, 78, 211, 73, 904, 163, 347, 536, 594, 226, 10, 143, 498, 528, 887, 291, 756, 701, 677, 134, 59, 694, 466, 309, 666, 997, 10, 998, 243, 69, 173, 697, 736, 259, 254, 970, 628, 142, 841, 18, 864, 882, 119, 11, 629, 145, 289, 52, 929, 103},
{846, 71, 647, 314, 996, 140, 301, 577, 422, 500, 297, 379, 919, 50, 814, 258, 212, 175, 832, 182, 333, 576, 991, 50, 572, 185, 142, 571, 911, 340, 455, 33, 246, 167, 905, 963, 456, 477, 805, 272, 585, 595, 802, 216, 934, 192, 431, 480, 905, 641, 865, 706, 789, 369, 996, 52, 525, 411, 348, 762, 654, 706, 598, 239, 282, 646, 725, 844, 938, 77, 819, 490, 587, 234, 680, 107, 926, 77, 180, 223, 315, 94, 203, 256, 339, 955, 719, 542, 71, 277, 144, 828, 517, 408, 690, 684, 653, 361, 867, 301, 666, 912, 616, 198, 748, 481, 833, 661, 830, 582, 192, 135, 161, 554, 246, 352, 517, 741, 763, 771, 136},
{562, 121, 707, 166, 670, 386, 629, 565, 951, 385, 310, 861, 245, 685, 810, 145, 482, 880, 878, 992, 402, 27, 921, 752, 129, 368, 610, 762, 669, 706, 110, 640, 839, 921, 94, 739, 185, 181, 968, 203, 252, 292, 218, 866, 935, 552, 345, 390, 694, 137, 694, 608, 168, 805, 311, 75, 50, 202, 107, 164, 165, 540, 817, 901, 317, 843, 616, 908, 866, 171, 809, 436, 959, 479, 732, 516, 19, 852, 810, 664, 357, 847, 784, 404, 829, 603, 251, 131, 955, 189, 989, 458, 324, 380, 63, 280, 944, 699, 262, 188, 860, 69, 308, 796, 542, 884, 160, 762, 514, 662, 853, 988, 215, 667, 617, 572, 290, 84, 375, 529, 431, 369},
{346, 278, 359, 405, 197, 91, 756, 917, 55, 494, 795, 460, 751, 685, 395, 913, 894, 542, 500, 72, 657, 758, 491, 393, 755, 953, 280, 385, 707, 332, 790, 429, 313, 648, 290, 68, 271, 751, 472, 907, 982, 954, 289, 324, 891, 842, 260, 106, 161, 902, 424, 5, 85, 517, 115, 942, 405, 477, 491, 265, 621, 138, 115, 994, 445, 732, 885, 539, 806, 190, 346, 656, 173, 967, 700, 790, 524, 64, 881, 58, 996, 374, 675, 302, 72, 986, 189, 591, 221, 840, 953, 480, 48, 426, 539, 172, 329, 829, 858, 408, 818, 493, 263, 594, 320, 512, 138, 153, 329, 161, 919, 587, 498, 587, 399, 44, 279, 346, 719, 446, 357, 445, 668},
{429, 932, 150, 788, 345, 442, 622, 305, 637, 84, 812, 92, 693, 362, 710, 714, 135, 945, 185, 107, 154, 309, 151, 566, 119, 980, 759, 584, 186, 766, 581, 484, 36, 944, 572, 960, 218, 275, 674, 400, 754, 663, 519, 278, 828, 407, 631, 49, 399, 312, 886, 668, 529, 354, 770, 291, 62, 215, 153, 761, 34, 757, 864, 230, 892, 433, 362, 568, 110, 688, 176, 337, 312, 668, 604, 696, 384, 910, 354, 25, 313, 243, 435, 974, 716, 834, 620, 393, 115, 176, 247, 799, 997, 789, 914, 94, 644, 639, 928, 817, 497, 531, 942, 520, 580, 289, 333, 751, 108, 102, 278, 791, 956, 265, 381, 454, 114, 463, 967, 224, 564, 861, 829, 540},
{343, 530, 299, 252, 626, 148, 19, 153, 809, 505, 660, 10, 501, 56, 150, 718, 219, 661, 678, 23, 393, 702, 876, 758, 942, 958, 43, 725, 309, 968, 286, 96, 331, 154, 707, 751, 751, 602, 555, 35, 472, 277, 385, 212, 886, 367, 828, 351, 763, 644, 522, 420, 172, 6, 135, 171, 906, 778, 163, 753, 687, 38, 382, 72, 196, 893, 394, 635, 651, 656, 724, 981, 201, 844, 288, 823, 871, 254, 878, 723, 223, 664, 522, 465, 101, 336, 155, 266, 119, 112, 103, 640, 553, 848, 284, 37, 378, 846, 859, 328, 61, 187, 323, 854, 546, 149, 651, 19, 611, 406, 197, 331, 368, 313, 448, 430, 251, 398, 676, 823, 265, 120, 715, 19, 600},
{66, 843, 252, 7, 20, 783, 260, 454, 749, 343, 391, 684, 940, 120, 900, 230, 438, 970, 442, 366, 839, 688, 626, 225, 525, 405, 986, 26, 420, 809, 880, 936, 135, 125, 639, 627, 637, 213, 752, 937, 287, 818, 994, 466, 893, 194, 184, 28, 413, 834, 691, 139, 79, 55, 915, 665, 10, 474, 677, 743, 833, 264, 901, 914, 429, 180, 9, 187, 687, 993, 144, 385, 87, 910, 768, 708, 967, 976, 146, 923, 611, 266, 930, 967, 626, 848, 458, 22, 688, 160, 252, 343, 366, 407, 7, 197, 640, 80, 530, 267, 728, 457, 170, 822, 991, 252, 803, 734, 27, 175, 811, 160, 549, 248, 330, 349, 265, 166, 723, 560, 770, 848, 419, 500, 451, 634},
{184, 90, 429, 192, 458, 556, 939, 352, 595, 71, 852, 536, 712, 177, 698, 341, 401, 251, 255, 166, 721, 104, 642, 455, 741, 625, 928, 251, 393, 60, 439, 281, 557, 118, 319, 707, 105, 594, 420, 33, 94, 629, 242, 360, 416, 11, 490, 374, 21, 183, 783, 962, 202, 730, 199, 333, 610, 156, 625, 872, 311, 705, 339, 745, 699, 841, 840, 422, 64, 741, 742, 891, 375, 815, 410, 312, 183, 855, 156, 265, 602, 864, 989, 543, 980, 13, 342, 639, 248, 448, 697, 721, 892, 876, 800, 860, 203, 943, 928, 764, 683, 420, 755, 43, 567, 155, 490, 316, 910, 517, 306, 94, 101, 828, 550, 425, 476, 878, 874, 747, 399, 163, 191, 282, 349, 942, 361},
{515, 494, 544, 567, 68, 790, 589, 635, 258, 845, 13, 960, 219, 665, 779, 274, 278, 934, 181, 231, 644, 667, 501, 669, 124, 891, 593, 443, 725, 546, 614, 929, 529, 902, 781, 684, 109, 664, 477, 187, 153, 315, 488, 350, 633, 465, 450, 231, 67, 673, 798, 408, 910, 689, 661, 601, 140, 137, 176, 414, 380, 415, 620, 531, 768, 979, 637, 298, 878, 260, 566, 395, 617, 134, 547, 198, 30, 319, 656, 550, 290, 988, 783, 841, 3, 685, 351, 717, 126, 889, 256, 273, 441, 614, 619, 289, 527, 63, 9, 914, 611, 681, 821, 226, 503, 902, 412, 259, 74, 512, 383, 419, 357, 839, 162, 691, 432, 903, 627, 666, 689, 248, 94, 227, 943, 437, 374, 671},
{141, 94, 37, 168, 66, 907, 172, 683, 558, 284, 200, 964, 221, 140, 274, 705, 500, 917, 831, 791, 338, 44, 724, 379, 265, 912, 133, 607, 972, 979, 169, 974, 862, 688, 678, 719, 53, 763, 244, 104, 611, 890, 810, 130, 552, 896, 669, 71, 274, 342, 765, 170, 644, 861, 406, 988, 931, 690, 512, 202, 131, 545, 476, 67, 985, 451, 535, 404, 212, 143, 340, 712, 3, 412, 61, 909, 872, 112, 906, 336, 303, 596, 463, 815, 463, 11, 572, 11, 467, 247, 827, 836, 257, 308, 879, 374, 213, 543, 925, 625, 41, 486, 673, 423, 278, 992, 77, 11, 44, 34, 857, 95, 274, 722, 643, 703, 748, 147, 119, 772, 662, 116, 142, 211, 385, 225, 240, 123, 281},
{502, 211, 995, 172, 499, 847, 892, 111, 866, 928, 144, 580, 367, 724, 575, 191, 768, 205, 63, 196, 270, 39, 84, 874, 947, 254, 976, 969, 195, 114, 825, 831, 305, 374, 240, 906, 130, 586, 818, 496, 231, 518, 737, 488, 60, 87, 759, 866, 473, 417, 898, 401, 332, 783, 170, 844, 22, 206, 78, 343, 474, 424, 22, 535, 690, 836, 336, 983, 792, 718, 494, 183, 381, 720, 894, 357, 338, 192, 743, 668, 214, 376, 761, 259, 78, 867, 841, 748, 994, 49, 325, 436, 332, 381, 268, 460, 722, 542, 911, 617, 837, 407, 609, 356, 91, 763, 595, 699, 993, 502, 354, 520, 197, 704, 767, 619, 146, 722, 929, 515, 910, 852, 237, 740, 964, 644, 376, 695, 608, 279},
{889, 770, 279, 632, 301, 573, 235, 876, 164, 542, 918, 483, 10, 148, 898, 497, 869, 190, 418, 808, 954, 377, 451, 970, 118, 529, 657, 750, 903, 225, 767, 251, 384, 682, 767, 919, 458, 949, 678, 167, 969, 269, 891, 655, 840, 574, 760, 526, 378, 688, 617, 965, 60, 690, 444, 554, 391, 317, 191, 774, 889, 48, 150, 910, 844, 649, 812, 328, 270, 591, 402, 767, 386, 707, 615, 882, 45, 866, 130, 691, 731, 247, 159, 25, 181, 982, 616, 312, 185, 582, 511, 254, 849, 552, 799, 28, 452, 54, 255, 673, 28, 280, 880, 217, 4, 473, 1, 915, 512, 136, 453, 714, 516, 66, 243, 659, 480, 272, 600, 523, 164, 725, 631, 355, 10, 133, 673, 17, 766, 638, 994},
{14, 182, 409, 715, 101, 80, 560, 706, 190, 679, 783, 717, 96, 736, 314, 211, 496, 18, 623, 186, 302, 609, 292, 797, 292, 798, 69, 711, 512, 618, 39, 960, 384, 634, 166, 513, 939, 257, 181, 920, 868, 650, 994, 143, 312, 339, 286, 136, 470, 681, 956, 828, 109, 756, 435, 899, 998, 585, 642, 152, 195, 258, 560, 337, 770, 302, 966, 18, 326, 509, 856, 399, 133, 558, 491, 126, 266, 975, 805, 680, 430, 361, 107, 404, 513, 378, 629, 134, 43, 669, 511, 97, 865, 748, 205, 35, 348, 906, 145, 485, 309, 359, 757, 754, 730, 180, 524, 431, 986, 31, 873, 186, 995, 377, 136, 210, 209, 609, 640, 909, 798, 521, 332, 332, 769, 614, 950, 416, 957, 36, 880, 319},
{40, 334, 297, 984, 767, 798, 122, 633, 581, 891, 578, 28, 663, 157, 890, 224, 271, 43, 737, 13, 863, 269, 630, 395, 174, 731, 282, 269, 840, 439, 387, 947, 650, 669, 970, 267, 751, 323, 588, 809, 432, 463, 243, 211, 165, 163, 809, 607, 674, 51, 164, 21, 730, 439, 925, 890, 192, 478, 963, 29, 620, 583, 347, 954, 396, 273, 445, 990, 886, 644, 251, 483, 651, 943, 831, 222, 71, 66, 988, 461, 55, 376, 846, 955, 701, 945, 100, 59, 857, 129, 73, 254, 530, 452, 594, 458, 45, 927, 899, 44, 618, 259, 452, 816, 777, 845, 604, 122, 648, 174, 486, 827, 717, 958, 367, 203, 63, 328, 21, 590, 451, 499, 277, 347, 898, 597, 52, 740, 509, 754, 621, 346, 426},
{126, 804, 49, 725, 260, 17, 898, 969, 111, 881, 949, 906, 24, 174, 668, 499, 244, 417, 699, 74, 838, 359, 533, 877, 444, 911, 130, 740, 915, 840, 641, 867, 781, 681, 194, 989, 384, 876, 69, 265, 738, 91, 771, 314, 413, 53, 189, 763, 205, 995, 434, 474, 983, 1, 78, 427, 839, 73, 127, 861, 576, 821, 529, 871, 709, 967, 979, 93, 289, 743, 517, 529, 339, 420, 699, 840, 166, 834, 198, 597, 565, 817, 251, 124, 746, 805, 764, 544, 852, 827, 790, 556, 111, 208, 750, 285, 948, 54, 42, 285, 940, 586, 604, 383, 36, 875, 598, 613, 355, 372, 631, 899, 766, 915, 825, 540, 560, 581, 616, 747, 832, 790, 360, 707, 560, 611, 726, 663, 961, 86, 366, 494, 467, 683},
{510, 174, 475, 729, 53, 244, 169, 745, 91, 146, 819, 173, 125, 862, 381, 867, 871, 802, 705, 87, 141, 286, 342, 450, 345, 317, 746, 462, 977, 529, 683, 778, 837, 335, 750, 320, 871, 343, 244, 733, 257, 54, 50, 439, 721, 680, 827, 710, 204, 711, 525, 787, 631, 484, 207, 43, 992, 603, 201, 578, 889, 525, 862, 480, 451, 990, 579, 119, 840, 284, 246, 528, 547, 506, 85, 904, 363, 101, 577, 695, 200, 936, 279, 592, 906, 107, 447, 946, 845, 473, 739, 824, 289, 649, 749, 919, 589, 813, 731, 39, 726, 215, 708, 703, 28, 719, 89, 722, 789, 85, 15, 226, 82, 887, 938, 763, 241, 211, 355, 552, 402, 261, 154, 835, 982, 45, 840, 652, 200, 134, 702, 989, 536, 319, 109},
{425, 577, 660, 261, 883, 797, 14, 124, 46, 678, 651, 757, 313, 997, 987, 929, 919, 270, 734, 731, 984, 90, 37, 895, 808, 550, 288, 645, 691, 18, 332, 208, 920, 293, 717, 565, 331, 563, 515, 636, 25, 652, 969, 829, 435, 749, 904, 836, 872, 205, 382, 613, 133, 983, 578, 714, 500, 66, 234, 543, 733, 416, 300, 628, 195, 157, 616, 728, 340, 205, 543, 426, 182, 970, 477, 883, 190, 664, 91, 613, 339, 393, 960, 417, 624, 483, 953, 156, 476, 435, 402, 636, 883, 478, 595, 688, 993, 944, 594, 471, 138, 602, 700, 152, 965, 629, 178, 342, 443, 134, 976, 132, 937, 988, 289, 93, 535, 294, 726, 406, 17, 958, 803, 102, 647, 710, 178, 486, 24, 386, 812, 3, 771, 463, 812, 158},
{782, 630, 179, 619, 43, 652, 181, 300, 825, 899, 292, 43, 167, 706, 941, 501, 97, 143, 386, 978, 78, 878, 108, 233, 414, 578, 33, 759, 237, 642, 752, 615, 773, 200, 671, 670, 261, 947, 646, 27, 785, 826, 294, 483, 798, 532, 571, 98, 785, 552, 641, 342, 834, 766, 310, 835, 434, 644, 527, 391, 843, 708, 522, 920, 847, 264, 160, 798, 473, 359, 31, 425, 564, 545, 562, 60, 680, 299, 223, 492, 895, 906, 459, 734, 496, 179, 583, 728, 458, 646, 256, 5, 844, 758, 568, 338, 951, 174, 948, 704, 99, 471, 341, 271, 469, 443, 101, 710, 283, 693, 82, 891, 892, 431, 239, 839, 114, 197, 866, 955, 183, 746, 282, 649, 302, 490, 364, 898, 606, 679, 868, 787, 778, 990, 826, 712, 204},
{308, 697, 781, 790, 250, 115, 935, 47, 455, 240, 410, 28, 685, 750, 509, 94, 614, 437, 58, 210, 515, 234, 541, 681, 149, 259, 698, 812, 875, 110, 228, 960, 361, 213, 391, 853, 301, 519, 464, 833, 257, 190, 444, 922, 43, 238, 905, 179, 96, 249, 635, 872, 928, 426, 514, 422, 48, 204, 139, 846, 718, 578, 833, 764, 546, 129, 42, 580, 159, 425, 541, 590, 168, 146, 612, 138, 210, 761, 25, 892, 117, 101, 701, 518, 126, 437, 15, 732, 659, 6, 916, 805, 372, 22, 540, 57, 65, 339, 486, 789, 568, 844, 723, 416, 915, 593, 934, 227, 924, 439, 186, 377, 848, 658, 971, 175, 869, 593, 87, 697, 57, 923, 245, 75, 833, 519, 63, 545, 158, 195, 844, 502, 391, 870, 580, 329, 229, 807},
{706, 768, 225, 595, 488, 925, 116, 532, 307, 795, 608, 867, 769, 367, 333, 151, 296, 939, 370, 577, 777, 287, 151, 798, 962, 691, 552, 127, 465, 667, 680, 458, 675, 424, 204, 517, 388, 695, 61, 203, 694, 623, 43, 961, 487, 781, 68, 49, 999, 266, 904, 517, 930, 34, 732, 547, 30, 279, 231, 471, 537, 742, 787, 469, 468, 249, 18, 468, 536, 678, 53, 184, 491, 820, 941, 625, 697, 249, 55, 626, 100, 438, 637, 114, 97, 818, 491, 929, 442, 382, 307, 942, 30, 742, 363, 117, 268, 251, 135, 954, 857, 913, 851, 445, 912, 334, 214, 239, 790, 876, 273, 271, 452, 541, 934, 480, 884, 803, 707, 563, 919, 812, 45, 964, 770, 886, 111, 397, 742, 201, 847, 234, 885, 954, 12, 79, 772, 25, 221},
{628, 228, 347, 113, 735, 576, 794, 451, 210, 898, 362, 382, 494, 865, 820, 46, 791, 954, 827, 475, 622, 216, 691, 22, 81, 345, 584, 554, 222, 467, 33, 348, 153, 941, 944, 847, 360, 460, 240, 515, 760, 942, 428, 527, 741, 984, 93, 431, 211, 164, 305, 740, 286, 101, 445, 104, 796, 985, 780, 868, 221, 224, 404, 816, 17, 978, 840, 361, 562, 610, 674, 756, 94, 482, 80, 703, 87, 144, 1, 292, 495, 636, 49, 379, 162, 573, 878, 376, 474, 664, 933, 878, 54, 582, 959, 757, 857, 400, 613, 114, 565, 352, 833, 984, 563, 350, 385, 800, 119, 490, 97, 377, 597, 788, 931, 649, 665, 496, 905, 460, 511, 678, 312, 451, 998, 137, 421, 526, 560, 420, 31, 375, 377, 384, 828, 322, 49, 703, 489, 78},
{533, 814, 862, 39, 605, 983, 376, 447, 457, 604, 5, 73, 370, 350, 776, 60, 549, 525, 776, 266, 340, 807, 80, 689, 27, 578, 827, 582, 350, 235, 960, 450, 670, 162, 704, 421, 442, 554, 1, 401, 303, 920, 519, 31, 594, 855, 744, 694, 590, 668, 911, 733, 63, 525, 241, 605, 41, 32, 992, 898, 818, 629, 374, 22, 309, 700, 199, 903, 812, 73, 531, 220, 176, 440, 226, 506, 67, 312, 411, 21, 810, 260, 472, 358, 824, 632, 20, 647, 179, 370, 665, 607, 249, 268, 158, 875, 715, 833, 594, 798, 407, 868, 948, 298, 616, 57, 139, 530, 527, 109, 212, 795, 375, 504, 993, 565, 772, 427, 725, 538, 414, 296, 797, 373, 16, 193, 682, 106, 932, 564, 555, 286, 350, 805, 894, 557, 335, 734, 570, 747, 331},
{491, 537, 524, 840, 107, 270, 340, 182, 838, 495, 672, 160, 394, 639, 572, 458, 312, 601, 107, 328, 110, 160, 610, 899, 293, 324, 548, 74, 940, 440, 422, 463, 393, 700, 374, 331, 511, 972, 46, 782, 78, 577, 844, 760, 183, 673, 922, 524, 855, 442, 108, 383, 765, 145, 521, 400, 565, 408, 798, 707, 318, 839, 695, 804, 519, 153, 333, 949, 394, 531, 493, 332, 530, 856, 217, 213, 412, 796, 362, 652, 86, 447, 960, 739, 20, 408, 967, 479, 196, 690, 412, 604, 614, 831, 85, 636, 679, 949, 623, 452, 396, 246, 255, 443, 901, 633, 546, 156, 619, 757, 177, 911, 255, 661, 172, 496, 916, 748, 39, 501, 872, 486, 917, 228, 857, 521, 243, 412, 370, 466, 361, 162, 119, 665, 234, 654, 615, 651, 657, 97, 930, 840},
{386, 388, 814, 281, 196, 746, 672, 869, 156, 264, 414, 538, 365, 1, 782, 355, 959, 763, 609, 361, 469, 144, 359, 209, 482, 762, 454, 377, 164, 893, 111, 798, 368, 827, 868, 236, 963, 379, 538, 623, 518, 953, 43, 917, 678, 402, 510, 689, 422, 765, 19, 798, 836, 618, 601, 35, 265, 390, 459, 528, 447, 489, 864, 42, 741, 514, 887, 35, 673, 117, 914, 505, 788, 339, 904, 183, 251, 331, 469, 595, 712, 450, 156, 904, 727, 636, 753, 165, 383, 817, 75, 850, 874, 889, 393, 67, 492, 416, 664, 855, 825, 812, 716, 407, 45, 226, 839, 775, 793, 707, 580, 917, 567, 569, 98, 493, 450, 989, 139, 857, 735, 52, 541, 148, 279, 396, 190, 144, 360, 571, 519, 885, 507, 994, 986, 609, 962, 158, 403, 678, 437, 337, 674},
{586, 385, 604, 275, 23, 258, 388, 737, 228, 140, 157, 546, 558, 674, 89, 95, 254, 461, 722, 761, 911, 932, 657, 759, 30, 266, 362, 134, 319, 78, 6, 177, 176, 472, 32, 553, 819, 518, 874, 667, 121, 396, 825, 113, 85, 237, 554, 598, 268, 173, 206, 397, 163, 224, 308, 177, 718, 415, 953, 79, 719, 975, 846, 28, 715, 557, 833, 567, 539, 120, 493, 934, 231, 609, 208, 750, 371, 524, 872, 389, 385, 262, 93, 85, 401, 452, 260, 851, 611, 548, 385, 558, 904, 606, 942, 866, 746, 539, 263, 301, 882, 136, 212, 413, 479, 754, 982, 848, 734, 953, 841, 157, 818, 263, 570, 344, 260, 919, 175, 481, 517, 679, 144, 193, 550, 754, 181, 449, 633, 498, 855, 926, 563, 732, 87, 89, 630, 489, 685, 322, 437, 517, 464, 648},
{723, 112, 586, 18, 835, 698, 859, 713, 376, 134, 706, 166, 889, 868, 361, 334, 124, 943, 690, 881, 524, 333, 685, 549, 167, 231, 282, 508, 221, 766, 678, 962, 391, 21, 731, 973, 531, 413, 309, 259, 744, 245, 735, 752, 866, 654, 552, 801, 156, 325, 904, 204, 399, 26, 752, 719, 413, 466, 994, 309, 83, 27, 336, 108, 675, 613, 379, 66, 144, 284, 997, 255, 553, 294, 530, 83, 539, 927, 700, 36, 921, 784, 457, 118, 233, 230, 129, 854, 901, 320, 376, 589, 304, 874, 439, 798, 680, 301, 76, 343, 207, 405, 427, 883, 98, 706, 730, 169, 728, 708, 481, 548, 173, 160, 138, 860, 446, 601, 924, 778, 3, 375, 638, 823, 724, 863, 615, 513, 696, 914, 174, 506, 581, 285, 917, 232, 287, 489, 261, 169, 930, 574, 410, 856, 783},
{244, 834, 771, 50, 198, 932, 369, 790, 738, 221, 987, 280, 494, 854, 789, 382, 581, 720, 614, 295, 632, 653, 407, 143, 925, 535, 911, 461, 255, 195, 409, 555, 283, 40, 622, 112, 886, 301, 305, 167, 356, 624, 705, 770, 438, 487, 782, 200, 858, 598, 47, 634, 390, 975, 902, 541, 520, 906, 667, 863, 483, 348, 765, 283, 740, 622, 199, 473, 9, 451, 49, 236, 586, 478, 646, 894, 15, 419, 62, 102, 113, 911, 707, 487, 25, 927, 211, 217, 187, 365, 166, 561, 95, 37, 18, 59, 292, 829, 138, 713, 290, 245, 87, 922, 11, 870, 170, 528, 910, 608, 662, 461, 148, 621, 483, 929, 60, 47, 686, 5, 692, 490, 869, 761, 373, 194, 473, 834, 88, 560, 7, 368, 997, 407, 421, 845, 505, 922, 219, 247, 156, 799, 393, 261, 85, 436},
{955, 70, 862, 410, 663, 338, 351, 650, 491, 607, 649, 871, 576, 232, 256, 868, 636, 389, 359, 191, 308, 441, 556, 612, 470, 112, 347, 505, 380, 524, 494, 950, 354, 136, 681, 928, 816, 998, 963, 451, 765, 582, 155, 850, 88, 598, 652, 731, 708, 867, 215, 300, 246, 333, 829, 849, 723, 693, 123, 236, 875, 4, 772, 28, 765, 821, 930, 888, 776, 108, 14, 441, 470, 164, 114, 493, 512, 321, 872, 63, 582, 995, 937, 54, 215, 956, 983, 805, 552, 349, 882, 984, 303, 110, 776, 444, 595, 872, 727, 749, 995, 382, 106, 54, 699, 723, 96, 852, 770, 383, 503, 970, 381, 284, 584, 810, 167, 428, 744, 482, 197, 755, 765, 954, 567, 101, 699, 770, 270, 928, 676, 185, 861, 620, 661, 816, 376, 684, 614, 28, 134, 178, 626, 274, 328, 25, 317},
{632, 763, 670, 214, 539, 709, 683, 869, 542, 595, 516, 200, 515, 201, 615, 909, 376, 59, 459, 858, 793, 31, 923, 973, 771, 392, 560, 576, 266, 322, 12, 58, 208, 369, 782, 445, 373, 353, 28, 729, 568, 150, 859, 788, 507, 986, 884, 366, 558, 186, 366, 826, 290, 816, 423, 367, 344, 289, 165, 941, 723, 778, 502, 400, 18, 283, 660, 254, 435, 241, 85, 37, 760, 872, 534, 449, 537, 874, 605, 335, 814, 620, 886, 86, 802, 785, 176, 228, 623, 191, 960, 824, 171, 703, 435, 773, 755, 237, 872, 289, 814, 238, 82, 616, 485, 587, 27, 524, 244, 469, 402, 239, 118, 630, 142, 244, 215, 402, 338, 828, 457, 20, 63, 340, 396, 38, 897, 850, 997, 127, 781, 350, 57, 105, 954, 647, 724, 857, 344, 843, 252, 689, 750, 666, 624, 738, 576, 934},
{256, 317, 631, 126, 273, 425, 789, 377, 209, 230, 835, 211, 119, 8, 911, 953, 244, 889, 374, 140, 315, 778, 695, 104, 559, 973, 314, 665, 221, 341, 952, 10, 191, 391, 997, 859, 933, 216, 975, 598, 453, 75, 28, 251, 465, 331, 578, 151, 316, 577, 30, 653, 423, 38, 429, 497, 176, 741, 535, 273, 317, 566, 602, 986, 778, 958, 503, 907, 842, 34, 527, 696, 275, 794, 294, 347, 768, 431, 752, 594, 649, 986, 151, 279, 278, 213, 214, 595, 9, 102, 481, 304, 886, 392, 920, 734, 468, 355, 488, 875, 302, 278, 235, 900, 630, 372, 965, 263, 820, 270, 188, 856, 879, 910, 292, 853, 154, 324, 478, 474, 3, 808, 925, 387, 766, 9, 112, 419, 851, 681, 974, 950, 117, 288, 834, 731, 49, 134, 601, 813, 389, 422, 791, 997, 977, 514, 354, 439, 603},
{633, 89, 96, 528, 469, 700, 254, 197, 435, 191, 698, 360, 828, 317, 3, 454, 766, 312, 1, 649, 584, 947, 777, 384, 315, 245, 379, 574, 981, 871, 46, 934, 700, 292, 940, 16, 4, 276, 267, 616, 382, 226, 159, 218, 748, 106, 924, 946, 453, 466, 75, 398, 486, 163, 53, 284, 718, 879, 738, 537, 411, 530, 603, 944, 682, 891, 883, 845, 353, 610, 216, 706, 363, 837, 14, 641, 970, 322, 239, 54, 61, 718, 372, 624, 196, 275, 75, 796, 486, 793, 497, 793, 958, 955, 188, 903, 886, 690, 326, 487, 435, 234, 345, 682, 65, 947, 39, 288, 375, 739, 942, 661, 440, 169, 121, 781, 247, 903, 473, 783, 539, 227, 338, 407, 234, 734, 492, 780, 569, 168, 577, 883, 354, 596, 646, 843, 957, 770, 772, 958, 216, 577, 606, 944, 18, 912, 367, 463, 179, 224},
{981, 427, 113, 185, 14, 902, 947, 694, 551, 730, 990, 420, 479, 91, 858, 649, 389, 361, 161, 68, 952, 548, 384, 406, 723, 469, 463, 592, 222, 661, 624, 178, 605, 648, 238, 307, 419, 842, 805, 435, 717, 821, 716, 340, 291, 166, 48, 696, 912, 325, 554, 640, 211, 240, 934, 299, 309, 553, 624, 212, 375, 282, 642, 949, 25, 780, 486, 991, 909, 648, 655, 104, 878, 21, 168, 56, 819, 304, 334, 476, 655, 37, 148, 75, 14, 963, 856, 234, 746, 866, 696, 194, 842, 905, 297, 672, 260, 480, 957, 765, 862, 681, 879, 425, 939, 419, 423, 614, 793, 226, 646, 509, 450, 553, 691, 745, 858, 92, 89, 749, 887, 296, 656, 690, 974, 801, 496, 397, 585, 902, 519, 909, 502, 561, 44, 978, 539, 720, 273, 913, 500, 816, 887, 684, 49, 483, 540, 55, 711, 389, 795},
{848, 403, 43, 930, 144, 714, 193, 69, 311, 684, 121, 294, 326, 960, 749, 789, 724, 26, 967, 517, 889, 659, 11, 647, 101, 919, 29, 770, 937, 701, 215, 884, 149, 378, 987, 332, 94, 94, 762, 103, 201, 63, 788, 400, 665, 600, 365, 982, 789, 683, 526, 520, 950, 558, 934, 158, 161, 274, 279, 541, 602, 65, 970, 777, 287, 162, 288, 229, 236, 997, 423, 525, 167, 713, 67, 942, 694, 578, 268, 109, 486, 203, 315, 13, 660, 428, 288, 500, 908, 362, 754, 711, 531, 333, 804, 433, 573, 466, 245, 973, 736, 162, 326, 935, 594, 23, 785, 250, 921, 662, 379, 913, 598, 404, 287, 140, 674, 75, 987, 63, 619, 997, 203, 700, 725, 779, 554, 612, 896, 714, 399, 581, 787, 433, 122, 689, 364, 933, 869, 363, 467, 305, 258, 306, 904, 214, 165, 766, 924, 760, 52, 252},
{646, 355, 640, 608, 205, 110, 957, 405, 870, 642, 894, 655, 417, 270, 480, 233, 319, 358, 1, 777, 185, 950, 928, 498, 958, 887, 415, 30, 51, 331, 737, 447, 505, 997, 648, 572, 751, 406, 93, 995, 247, 141, 83, 564, 550, 500, 845, 682, 983, 835, 543, 430, 37, 614, 950, 402, 120, 479, 487, 136, 90, 595, 929, 210, 217, 170, 912, 388, 910, 315, 84, 686, 559, 362, 378, 868, 317, 324, 451, 658, 525, 444, 708, 937, 711, 688, 748, 278, 825, 571, 288, 418, 406, 959, 778, 743, 900, 327, 25, 368, 234, 495, 49, 167, 34, 62, 366, 995, 615, 571, 586, 371, 972, 966, 973, 91, 499, 18, 187, 625, 125, 245, 919, 631, 879, 303, 588, 597, 611, 927, 518, 461, 780, 306, 303, 35, 736, 200, 160, 171, 913, 204, 104, 951, 681, 295, 755, 586, 412, 214, 392, 332, 457},
{303, 656, 513, 336, 110, 951, 628, 433, 464, 167, 614, 858, 751, 805, 566, 983, 791, 3, 589, 318, 73, 184, 34, 49, 96, 321, 23, 558, 223, 831, 68, 674, 745, 179, 575, 239, 846, 142, 207, 819, 753, 529, 386, 30, 674, 860, 735, 987, 3, 131, 845, 877, 918, 350, 589, 480, 718, 965, 136, 760, 142, 634, 930, 325, 493, 53, 164, 613, 594, 744, 675, 181, 471, 740, 810, 349, 195, 70, 488, 764, 501, 874, 612, 146, 632, 726, 10, 605, 360, 427, 289, 432, 288, 172, 342, 184, 359, 462, 757, 241, 930, 552, 59, 732, 936, 555, 516, 867, 405, 528, 259, 287, 53, 18, 560, 989, 758, 555, 439, 744, 473, 552, 213, 697, 514, 878, 193, 22, 273, 192, 517, 89, 53, 698, 17, 578, 151, 645, 83, 374, 312, 278, 743, 887, 371, 402, 542, 646, 247, 958, 359, 622, 428, 222},
{994, 761, 778, 330, 238, 643, 758, 856, 92, 995, 166, 45, 58, 56, 83, 142, 663, 399, 28, 10, 916, 909, 218, 786, 17, 38, 460, 946, 417, 335, 426, 514, 315, 538, 959, 565, 741, 160, 650, 384, 667, 604, 104, 818, 993, 323, 203, 427, 841, 453, 214, 6, 308, 615, 746, 950, 724, 328, 429, 688, 515, 565, 655, 130, 941, 514, 924, 665, 376, 521, 75, 745, 272, 549, 219, 504, 648, 206, 272, 182, 751, 533, 773, 351, 516, 333, 108, 52, 614, 730, 354, 16, 141, 52, 707, 53, 464, 878, 847, 575, 362, 288, 667, 936, 322, 891, 503, 976, 816, 282, 378, 678, 437, 862, 793, 371, 984, 867, 294, 233, 23, 571, 366, 192, 946, 299, 236, 477, 287, 891, 776, 183, 868, 667, 50, 212, 429, 799, 972, 889, 471, 225, 218, 322, 472, 891, 736, 344, 18, 148, 238, 478, 100, 596, 526},
{923, 590, 547, 867, 970, 866, 503, 448, 638, 656, 787, 553, 561, 448, 486, 298, 316, 220, 397, 637, 449, 817, 542, 881, 441, 56, 131, 161, 719, 483, 532, 81, 622, 809, 986, 363, 896, 199, 233, 360, 937, 972, 225, 192, 447, 784, 394, 680, 634, 18, 683, 416, 366, 942, 709, 22, 932, 193, 957, 174, 193, 228, 895, 970, 915, 761, 226, 31, 81, 564, 287, 84, 738, 698, 785, 884, 781, 938, 628, 986, 664, 119, 591, 305, 648, 182, 3, 401, 638, 944, 357, 126, 44, 983, 53, 581, 412, 602, 4, 384, 733, 511, 928, 834, 443, 744, 531, 931, 158, 311, 641, 123, 57, 289, 585, 310, 682, 359, 746, 910, 622, 276, 294, 699, 186, 418, 526, 749, 716, 322, 157, 56, 613, 99, 105, 288, 519, 694, 59, 738, 335, 258, 170, 670, 930, 264, 679, 229, 456, 640, 228, 527, 149, 864, 877, 761},
{407, 895, 560, 20, 684, 826, 837, 956, 452, 382, 316, 648, 76, 701, 29, 784, 967, 386, 416, 762, 762, 453, 277, 439, 609, 656, 192, 9, 879, 626, 513, 962, 721, 405, 924, 147, 944, 270, 975, 688, 619, 158, 737, 962, 691, 634, 940, 850, 587, 109, 485, 215, 521, 900, 265, 932, 723, 864, 587, 836, 325, 481, 305, 585, 984, 735, 979, 852, 653, 640, 996, 205, 44, 947, 594, 693, 483, 472, 166, 495, 831, 446, 66, 903, 56, 495, 351, 601, 865, 163, 568, 407, 544, 378, 710, 640, 740, 902, 979, 826, 514, 588, 790, 721, 381, 240, 779, 532, 438, 951, 224, 772, 929, 80, 369, 400, 737, 423, 656, 774, 384, 752, 736, 474, 96, 564, 442, 220, 335, 824, 637, 987, 36, 514, 918, 876, 431, 979, 727, 466, 985, 458, 309, 207, 432, 648, 312, 845, 340, 880, 555, 5, 950, 256, 640, 838, 235},
{104, 622, 90, 268, 253, 931, 984, 45, 899, 90, 145, 813, 307, 539, 99, 823, 178, 73, 22, 192, 306, 950, 84, 186, 30, 766, 103, 857, 77, 524, 298, 369, 649, 185, 545, 802, 944, 167, 950, 453, 889, 871, 497, 875, 544, 350, 216, 990, 485, 646, 608, 594, 521, 166, 39, 528, 207, 695, 426, 555, 19, 322, 831, 753, 463, 532, 505, 819, 90, 284, 510, 264, 127, 652, 310, 873, 438, 954, 602, 196, 598, 925, 248, 44, 127, 596, 350, 188, 382, 23, 412, 455, 145, 904, 45, 441, 687, 432, 860, 925, 991, 417, 34, 840, 832, 863, 529, 382, 651, 674, 110, 390, 464, 93, 93, 687, 624, 825, 245, 446, 863, 545, 366, 965, 896, 579, 865, 489, 864, 179, 75, 807, 987, 706, 141, 415, 144, 444, 79, 967, 493, 489, 974, 594, 910, 400, 381, 405, 736, 814, 673, 179, 259, 270, 498, 789, 454, 835},
{481, 402, 706, 989, 33, 842, 634, 356, 456, 853, 692, 551, 525, 107, 917, 397, 385, 972, 42, 196, 916, 33, 205, 588, 686, 243, 683, 750, 207, 469, 354, 340, 532, 832, 119, 662, 138, 948, 125, 943, 615, 665, 438, 533, 984, 354, 759, 46, 296, 158, 880, 203, 790, 849, 846, 168, 68, 118, 214, 679, 618, 178, 349, 189, 559, 538, 465, 476, 660, 698, 970, 979, 518, 271, 755, 140, 287, 762, 222, 601, 502, 827, 264, 47, 353, 307, 850, 754, 211, 791, 602, 733, 367, 764, 528, 398, 688, 573, 96, 347, 339, 668, 931, 718, 834, 509, 760, 992, 385, 551, 617, 870, 949, 529, 993, 34, 440, 11, 336, 170, 249, 896, 230, 655, 641, 48, 676, 656, 577, 745, 110, 231, 226, 50, 184, 216, 758, 403, 902, 296, 19, 26, 357, 671, 307, 752, 226, 180, 846, 952, 149, 533, 439, 101, 317, 603, 459, 361, 890},
{319, 609, 311, 382, 774, 787, 506, 755, 640, 15, 174, 786, 806, 622, 744, 189, 459, 780, 259, 119, 491, 48, 991, 915, 201, 786, 741, 379, 737, 212, 346, 442, 655, 333, 929, 829, 221, 252, 273, 197, 832, 111, 500, 266, 48, 487, 941, 689, 192, 184, 656, 729, 486, 176, 584, 343, 948, 928, 716, 936, 61, 444, 993, 895, 348, 153, 860, 935, 562, 209, 524, 512, 112, 844, 32, 769, 775, 174, 192, 999, 460, 252, 220, 159, 980, 239, 766, 773, 408, 261, 619, 473, 511, 897, 943, 467, 237, 278, 415, 515, 942, 458, 968, 331, 341, 58, 155, 885, 696, 174, 332, 816, 854, 211, 970, 944, 113, 601, 388, 985, 748, 324, 131, 642, 303, 788, 22, 643, 317, 907, 657, 742, 314, 107, 713, 340, 233, 641, 999, 198, 427, 815, 629, 630, 588, 597, 2, 709, 620, 701, 590, 242, 614, 422, 650, 725, 513, 352, 41, 44},
{988, 678, 352, 413, 335, 918, 367, 958, 907, 790, 710, 364, 719, 433, 200, 219, 369, 320, 51, 58, 373, 29, 538, 598, 308, 516, 189, 342, 929, 622, 838, 534, 548, 354, 166, 472, 528, 913, 399, 264, 708, 508, 948, 453, 916, 772, 678, 378, 522, 981, 327, 715, 146, 346, 404, 448, 225, 343, 505, 404, 136, 470, 575, 593, 942, 768, 120, 781, 679, 215, 739, 166, 254, 362, 665, 523, 677, 651, 136, 920, 363, 447, 585, 932, 651, 162, 595, 327, 537, 801, 493, 328, 853, 891, 277, 923, 760, 20, 284, 138, 497, 151, 644, 841, 754, 488, 108, 461, 935, 875, 252, 907, 817, 657, 452, 125, 816, 458, 239, 967, 131, 577, 818, 489, 534, 540, 628, 319, 483, 907, 734, 548, 509, 597, 797, 402, 567, 845, 85, 61, 121, 396, 728, 143, 295, 696, 2, 768, 311, 659, 913, 597, 786, 30, 810, 932, 199, 518, 18, 778, 977},
{632, 749, 745, 221, 583, 664, 827, 6, 722, 475, 356, 619, 721, 960, 910, 809, 114, 577, 547, 326, 857, 626, 489, 618, 314, 592, 329, 532, 406, 829, 866, 251, 734, 258, 964, 515, 136, 104, 139, 403, 489, 997, 207, 495, 579, 961, 962, 354, 488, 872, 749, 599, 289, 52, 769, 753, 768, 477, 183, 218, 554, 989, 334, 436, 283, 545, 957, 309, 378, 221, 827, 418, 606, 219, 129, 452, 825, 520, 761, 520, 245, 249, 909, 701, 54, 3, 463, 272, 537, 600, 294, 532, 617, 762, 976, 50, 326, 199, 266, 453, 880, 477, 528, 597, 874, 813, 379, 51, 609, 629, 965, 371, 722, 320, 708, 553, 90, 174, 799, 388, 455, 809, 460, 187, 339, 785, 752, 484, 576, 309, 743, 887, 256, 41, 951, 180, 943, 85, 287, 174, 779, 153, 173, 564, 493, 767, 114, 215, 400, 114, 761, 885, 178, 799, 438, 415, 591, 374, 143, 754, 355, 922},
{323, 46, 14, 400, 56, 164, 69, 719, 840, 742, 550, 739, 905, 723, 928, 425, 778, 906, 521, 461, 889, 801, 556, 503, 153, 318, 655, 59, 772, 497, 786, 737, 40, 506, 652, 213, 475, 612, 108, 805, 513, 683, 408, 999, 853, 58, 17, 595, 687, 290, 252, 423, 333, 363, 272, 728, 151, 451, 764, 380, 269, 215, 240, 57, 301, 895, 12, 421, 197, 211, 784, 93, 355, 142, 275, 917, 359, 240, 428, 631, 51, 996, 623, 511, 149, 169, 717, 46, 314, 666, 884, 935, 375, 776, 20, 989, 405, 44, 869, 599, 490, 82, 190, 504, 317, 950, 921, 525, 161, 520, 836, 759, 449, 404, 125, 517, 858, 628, 121, 923, 813, 205, 753, 668, 321, 162, 308, 897, 315, 386, 794, 565, 77, 839, 536, 902, 842, 341, 624, 816, 381, 107, 485, 153, 230, 667, 174, 750, 245, 639, 928, 120, 320, 33, 165, 418, 431, 461, 362, 99, 674, 615, 238},
{239, 565, 901, 164, 100, 693, 916, 79, 919, 763, 783, 1, 261, 155, 996, 846, 513, 409, 529, 438, 316, 459, 440, 505, 708, 990, 117, 949, 816, 85, 589, 887, 740, 123, 51, 793, 121, 38, 859, 560, 518, 164, 779, 466, 380, 292, 182, 841, 837, 67, 237, 673, 9, 521, 872, 543, 794, 362, 429, 45, 376, 619, 477, 266, 755, 402, 240, 36, 715, 779, 404, 336, 512, 289, 897, 734, 481, 162, 377, 714, 463, 104, 747, 516, 643, 422, 30, 460, 955, 345, 294, 770, 662, 597, 172, 576, 138, 721, 657, 141, 124, 143, 548, 325, 945, 688, 880, 996, 285, 138, 123, 344, 70, 375, 774, 88, 6, 905, 200, 140, 40, 794, 208, 591, 813, 601, 934, 803, 765, 488, 28, 5, 85, 508, 22, 10, 170, 989, 37, 598, 585, 83, 628, 656, 760, 760, 699, 375, 855, 4, 856, 703, 258, 484, 510, 753, 174, 752, 304, 61, 646, 876, 183, 429},
{102, 488, 500, 597, 266, 389, 111, 112, 828, 253, 299, 603, 790, 461, 752, 116, 817, 747, 496, 296, 226, 219, 879, 980, 495, 227, 246, 191, 278, 755, 860, 617, 955, 269, 72, 429, 710, 391, 406, 647, 931, 439, 515, 380, 550, 555, 448, 921, 517, 120, 726, 122, 263, 201, 87, 413, 384, 29, 560, 613, 252, 864, 773, 937, 465, 185, 953, 644, 296, 798, 156, 423, 365, 362, 657, 902, 793, 800, 269, 666, 971, 269, 613, 733, 929, 642, 984, 800, 3, 8, 531, 422, 109, 238, 910, 922, 500, 560, 454, 91, 301, 950, 148, 582, 474, 320, 388, 532, 127, 682, 603, 107, 220, 961, 268, 562, 824, 632, 761, 948, 23, 135, 831, 734, 448, 887, 101, 526, 247, 782, 197, 484, 908, 214, 592, 262, 54, 83, 181, 45, 731, 715, 926, 769, 221, 294, 685, 712, 631, 248, 432, 404, 818, 16, 677, 294, 282, 724, 825, 629, 717, 645, 575, 821, 873},
{717, 247, 909, 174, 39, 94, 857, 350, 2, 235, 79, 983, 649, 841, 987, 408, 920, 589, 405, 925, 667, 228, 311, 641, 736, 271, 793, 514, 924, 478, 39, 443, 348, 788, 847, 257, 587, 801, 503, 519, 25, 735, 733, 954, 905, 28, 185, 131, 49, 401, 66, 734, 536, 244, 568, 435, 417, 643, 265, 840, 214, 251, 925, 524, 983, 436, 96, 401, 788, 875, 351, 46, 704, 773, 342, 663, 892, 446, 628, 494, 864, 853, 825, 443, 766, 985, 767, 554, 439, 727, 232, 769, 7, 911, 287, 105, 986, 820, 435, 953, 254, 305, 583, 743, 700, 23, 298, 599, 102, 49, 953, 946, 544, 252, 138, 258, 726, 370, 126, 230, 587, 693, 327, 746, 31, 616, 350, 921, 941, 108, 726, 341, 297, 285, 416, 412, 961, 916, 912, 358, 642, 626, 147, 990, 579, 966, 412, 842, 772, 373, 228, 637, 924, 159, 385, 361, 829, 379, 429, 377, 644, 370, 476, 140, 325, 235},
{575, 68, 529, 337, 793, 26, 450, 153, 827, 724, 380, 430, 208, 18, 274, 681, 122, 755, 232, 501, 443, 356, 597, 32, 834, 712, 343, 212, 657, 405, 486, 84, 19, 426, 587, 541, 474, 816, 747, 375, 787, 634, 151, 383, 676, 713, 881, 598, 668, 470, 673, 408, 2, 887, 260, 442, 35, 424, 223, 635, 772, 241, 563, 797, 911, 636, 763, 355, 296, 959, 747, 650, 774, 643, 997, 372, 253, 168, 50, 195, 143, 934, 730, 699, 524, 45, 808, 983, 69, 930, 152, 168, 175, 631, 124, 155, 848, 254, 687, 602, 535, 839, 615, 43, 533, 400, 295, 497, 599, 379, 803, 713, 77, 172, 375, 374, 196, 604, 881, 244, 205, 498, 664, 233, 634, 512, 909, 776, 326, 483, 780, 789, 784, 382, 674, 659, 84, 823, 298, 411, 796, 801, 763, 224, 364, 932, 498, 930, 924, 49, 602, 998, 851, 400, 203, 770, 154, 95, 485, 404, 469, 650, 322, 44, 582, 692, 863},
{243, 265, 902, 9, 559, 786, 299, 414, 523, 603, 802, 586, 919, 600, 827, 655, 419, 723, 346, 609, 111, 37, 447, 135, 428, 4, 939, 737, 292, 295, 941, 449, 14, 517, 730, 291, 686, 66, 347, 624, 289, 703, 558, 646, 755, 595, 868, 625, 544, 246, 142, 857, 94, 207, 312, 5, 667, 479, 371, 160, 702, 241, 505, 976, 759, 917, 808, 232, 574, 625, 476, 417, 487, 723, 774, 386, 777, 522, 344, 574, 994, 219, 616, 53, 447, 772, 187, 501, 396, 743, 36, 226, 362, 79, 353, 487, 173, 467, 582, 757, 46, 147, 980, 993, 21, 980, 677, 636, 558, 240, 679, 880, 938, 731, 782, 659, 400, 847, 646, 934, 620, 665, 574, 133, 216, 428, 683, 965, 449, 630, 239, 498, 209, 440, 861, 996, 633, 390, 254, 32, 460, 103, 816, 318, 304, 316, 263, 999, 563, 613, 920, 416, 612, 110, 909, 932, 251, 758, 813, 58, 121, 115, 753, 901, 954, 141, 33, 42},
{65, 70, 610, 935, 452, 473, 730, 390, 253, 366, 955, 988, 44, 642, 716, 1, 680, 160, 230, 94, 928, 510, 313, 20, 153, 912, 177, 596, 702, 648, 764, 475, 454, 188, 573, 615, 161, 469, 188, 913, 886, 792, 954, 123, 823, 461, 296, 87, 206, 591, 216, 293, 872, 483, 398, 935, 280, 583, 186, 9, 401, 322, 391, 405, 992, 60, 548, 673, 187, 975, 760, 848, 220, 938, 714, 722, 378, 370, 801, 58, 915, 597, 525, 473, 797, 459, 563, 167, 598, 791, 872, 223, 769, 918, 254, 965, 823, 497, 628, 720, 660, 893, 89, 386, 395, 738, 477, 417, 548, 509, 826, 180, 410, 757, 525, 145, 702, 87, 473, 65, 410, 95, 791, 101, 801, 290, 908, 841, 202, 408, 948, 302, 54, 650, 396, 277, 143, 129, 933, 889, 663, 176, 246, 747, 947, 270, 272, 934, 298, 8, 99, 926, 309, 973, 251, 640, 506, 323, 568, 35, 893, 642, 294, 77, 239, 949, 246, 419, 505},
{710, 146, 858, 912, 394, 291, 476, 465, 414, 739, 390, 692, 241, 104, 206, 523, 127, 859, 593, 908, 132, 809, 888, 829, 95, 952, 244, 794, 779, 561, 684, 796, 658, 715, 324, 969, 728, 870, 153, 863, 284, 308, 31, 329, 807, 482, 967, 506, 998, 317, 331, 296, 499, 520, 354, 9, 52, 825, 219, 574, 666, 883, 9, 819, 885, 204, 56, 859, 354, 148, 526, 529, 756, 490, 648, 169, 614, 451, 599, 779, 570, 462, 952, 715, 572, 98, 516, 652, 785, 781, 558, 504, 180, 885, 720, 335, 452, 798, 327, 87, 374, 370, 456, 117, 717, 911, 859, 125, 582, 581, 765, 20, 395, 563, 657, 718, 800, 903, 357, 606, 412, 264, 140, 654, 687, 135, 123, 772, 224, 235, 910, 2, 386, 937, 307, 578, 532, 547, 909, 745, 28, 189, 618, 403, 883, 862, 350, 363, 134, 958, 785, 994, 980, 148, 588, 539, 360, 106, 330, 201, 789, 962, 316, 428, 298, 730, 593, 437, 773, 199},
{721, 153, 289, 973, 256, 193, 840, 373, 513, 454, 458, 898, 897, 125, 828, 845, 949, 681, 425, 444, 351, 540, 617, 567, 275, 530, 399, 686, 877, 321, 191, 228, 199, 224, 609, 903, 427, 583, 250, 919, 318, 48, 292, 169, 504, 637, 176, 663, 622, 422, 674, 476, 416, 30, 466, 435, 486, 938, 674, 624, 912, 734, 938, 537, 776, 28, 268, 356, 494, 787, 312, 432, 985, 191, 730, 479, 901, 911, 976, 406, 530, 978, 217, 975, 568, 942, 50, 678, 602, 120, 374, 319, 39, 95, 46, 800, 224, 505, 953, 502, 635, 380, 731, 492, 408, 924, 632, 500, 885, 719, 16, 239, 551, 751, 483, 172, 489, 553, 946, 297, 466, 999, 828, 826, 829, 5, 141, 947, 696, 412, 404, 948, 308, 889, 249, 127, 7, 528, 67, 818, 30, 127, 260, 787, 193, 892, 482, 19, 587, 352, 756, 603, 606, 834, 517, 60, 984, 782, 426, 890, 36, 493, 276, 619, 953, 635, 429, 851, 848, 16, 4},
{130, 200, 649, 453, 498, 520, 105, 305, 698, 327, 511, 520, 888, 971, 335, 387, 613, 480, 239, 900, 511, 325, 925, 281, 900, 956, 819, 701, 960, 10, 886, 257, 695, 328, 651, 967, 244, 332, 706, 879, 394, 814, 600, 373, 341, 920, 35, 418, 838, 959, 710, 833, 887, 686, 999, 566, 23, 853, 871, 637, 80, 194, 117, 678, 40, 432, 6, 902, 179, 588, 942, 975, 294, 629, 553, 460, 218, 463, 916, 441, 171, 383, 328, 490, 777, 334, 53, 339, 699, 786, 34, 495, 951, 590, 412, 594, 901, 886, 991, 430, 847, 85, 541, 461, 860, 907, 882, 96, 260, 748, 283, 205, 702, 919, 557, 103, 351, 878, 654, 750, 17, 219, 206, 998, 483, 990, 700, 505, 432, 941, 450, 397, 540, 382, 523, 803, 338, 674, 148, 177, 364, 804, 876, 694, 6, 93, 967, 94, 169, 876, 42, 27, 572, 886, 35, 380, 42, 156, 883, 25, 646, 496, 187, 173, 897, 983, 263, 828, 521, 430, 666, 840},
{502, 525, 252, 699, 215, 181, 264, 552, 417, 631, 806, 844, 856, 8, 252, 661, 993, 426, 827, 70, 126, 115, 627, 746, 770, 757, 798, 723, 759, 977, 485, 377, 887, 914, 403, 628, 344, 855, 566, 954, 387, 247, 821, 963, 896, 744, 272, 192, 504, 587, 617, 308, 963, 303, 716, 76, 323, 616, 389, 293, 228, 511, 594, 392, 395, 570, 627, 578, 867, 83, 934, 143, 206, 928, 435, 108, 144, 903, 26, 436, 577, 986, 48, 845, 969, 23, 75, 689, 391, 447, 328, 459, 437, 944, 389, 217, 231, 427, 656, 651, 542, 265, 151, 541, 819, 534, 898, 92, 606, 903, 56, 6, 350, 893, 375, 172, 118, 467, 401, 529, 89, 281, 996, 26, 991, 498, 393, 567, 850, 744, 18, 522, 483, 639, 744, 635, 224, 377, 55, 203, 242, 973, 854, 951, 638, 117, 310, 353, 247, 77, 127, 55, 664, 724, 181, 673, 611, 529, 217, 460, 130, 346, 669, 257, 491, 919, 273, 694, 946, 279, 269, 832, 593},
{619, 458, 293, 731, 866, 268, 470, 11, 815, 317, 588, 605, 638, 625, 220, 385, 614, 779, 368, 778, 108, 858, 378, 625, 198, 847, 744, 775, 866, 618, 352, 677, 325, 282, 811, 430, 870, 866, 317, 80, 685, 825, 914, 999, 58, 845, 125, 289, 886, 770, 634, 17, 700, 256, 183, 27, 82, 914, 791, 745, 131, 321, 247, 120, 514, 218, 78, 349, 738, 667, 337, 587, 501, 696, 131, 134, 375, 186, 242, 947, 614, 366, 135, 487, 574, 318, 311, 998, 97, 282, 297, 365, 222, 427, 491, 547, 760, 971, 748, 455, 573, 180, 819, 836, 908, 819, 741, 359, 763, 131, 828, 647, 36, 198, 187, 428, 203, 916, 563, 328, 327, 397, 897, 101, 504, 745, 185, 221, 238, 653, 93, 862, 838, 104, 342, 243, 658, 833, 12, 191, 854, 864, 792, 598, 442, 566, 710, 92, 568, 206, 965, 862, 316, 875, 386, 106, 858, 35, 427, 925, 436, 618, 785, 876, 472, 829, 461, 539, 120, 278, 562, 665, 665, 79},
{208, 445, 510, 906, 641, 411, 903, 746, 89, 333, 207, 282, 924, 205, 233, 436, 449, 110, 116, 561, 936, 289, 249, 182, 652, 226, 59, 995, 222, 952, 775, 33, 60, 34, 886, 504, 589, 921, 680, 876, 615, 431, 141, 154, 528, 123, 444, 157, 993, 270, 517, 851, 384, 920, 396, 418, 510, 269, 653, 789, 121, 205, 751, 864, 254, 422, 17, 462, 752, 928, 848, 337, 158, 136, 901, 284, 783, 967, 230, 403, 944, 589, 814, 128, 227, 416, 459, 478, 182, 51, 767, 323, 43, 668, 827, 149, 873, 142, 235, 915, 76, 925, 326, 139, 324, 285, 811, 245, 821, 963, 549, 570, 208, 826, 831, 140, 609, 286, 413, 476, 66, 571, 469, 275, 25, 37, 827, 707, 679, 711, 91, 498, 664, 266, 735, 687, 39, 401, 876, 171, 545, 426, 138, 672, 839, 452, 991, 834, 761, 204, 27, 453, 750, 896, 801, 742, 203, 59, 347, 668, 868, 401, 934, 58, 442, 78, 397, 157, 103, 770, 184, 783, 100, 1, 306},
{29, 428, 38, 530, 701, 280, 547, 480, 370, 210, 862, 802, 891, 910, 397, 175, 775, 76, 242, 751, 623, 66, 437, 567, 109, 21, 763, 542, 673, 595, 141, 992, 197, 720, 891, 952, 361, 669, 194, 228, 357, 242, 20, 780, 865, 33, 729, 974, 947, 632, 292, 244, 618, 83, 784, 924, 364, 61, 414, 384, 824, 87, 840, 65, 161, 506, 946, 740, 407, 127, 563, 110, 209, 166, 837, 825, 934, 596, 109, 208, 90, 69, 147, 163, 327, 346, 592, 313, 129, 575, 239, 905, 393, 789, 613, 872, 760, 744, 902, 311, 495, 573, 914, 718, 132, 758, 155, 589, 900, 625, 569, 311, 150, 868, 703, 892, 613, 671, 289, 728, 363, 566, 322, 464, 739, 558, 727, 50, 380, 947, 607, 224, 687, 948, 883, 15, 746, 453, 875, 299, 750, 235, 981, 126, 433, 476, 170, 284, 883, 752, 422, 560, 401, 507, 628, 227, 703, 609, 684, 561, 883, 803, 696, 640, 38, 738, 286, 188, 323, 776, 924, 32, 558, 985, 163, 571},
{155, 548, 333, 734, 302, 317, 81, 78, 831, 402, 589, 60, 131, 493, 951, 14, 793, 66, 485, 31, 439, 769, 153, 773, 293, 45, 445, 232, 640, 476, 226, 575, 257, 463, 69, 527, 260, 545, 564, 173, 609, 114, 922, 679, 658, 320, 943, 198, 731, 673, 99, 133, 708, 236, 29, 16, 981, 303, 247, 485, 955, 195, 195, 245, 461, 71, 102, 407, 88, 721, 299, 347, 435, 920, 708, 45, 734, 231, 255, 898, 101, 139, 866, 160, 931, 993, 516, 481, 618, 521, 511, 535, 763, 618, 852, 301, 584, 699, 24, 418, 23, 154, 11, 948, 373, 341, 713, 4, 902, 126, 137, 937, 20, 174, 957, 256, 52, 92, 68, 926, 573, 33, 736, 559, 523, 559, 855, 748, 95, 413, 552, 984, 425, 332, 141, 667, 726, 199, 968, 189, 327, 631, 236, 486, 508, 567, 267, 209, 713, 562, 31, 409, 859, 230, 941, 681, 50, 766, 83, 806, 920, 512, 45, 245, 244, 336, 515, 271, 157, 940, 594, 163, 571, 327, 569, 605, 919},
{321, 554, 405, 347, 451, 940, 650, 880, 505, 115, 749, 912, 770, 248, 84, 513, 293, 261, 636, 730, 501, 265, 592, 56, 200, 870, 812, 629, 223, 759, 59, 629, 26, 832, 37, 516, 109, 66, 656, 425, 441, 913, 354, 98, 987, 752, 7, 154, 48, 375, 722, 407, 329, 994, 771, 172, 622, 570, 998, 200, 476, 513, 354, 965, 491, 4, 564, 507, 727, 201, 575, 915, 257, 615, 98, 900, 63, 793, 494, 514, 323, 241, 283, 281, 643, 201, 744, 476, 923, 526, 446, 218, 369, 357, 53, 396, 625, 749, 417, 165, 119, 712, 813, 903, 500, 318, 115, 89, 471, 720, 885, 467, 423, 900, 641, 312, 9, 940, 981, 288, 214, 462, 892, 630, 532, 614, 318, 961, 567, 666, 959, 991, 762, 828, 403, 820, 984, 389, 844, 297, 366, 639, 119, 142, 166, 350, 252, 127, 387, 753, 477, 646, 564, 68, 482, 427, 417, 639, 716, 959, 65, 651, 693, 480, 82, 189, 611, 969, 987, 169, 49, 688, 677, 273, 153, 241, 884, 552},
{529, 984, 49, 823, 988, 933, 818, 317, 414, 917, 20, 298, 272, 883, 103, 547, 717, 711, 983, 633, 809, 776, 692, 914, 86, 851, 462, 63, 651, 590, 689, 697, 933, 993, 735, 408, 528, 744, 668, 53, 834, 258, 856, 699, 766, 601, 788, 22, 437, 188, 647, 248, 581, 286, 876, 7, 428, 955, 500, 530, 900, 959, 963, 716, 304, 578, 70, 498, 97, 9, 966, 806, 983, 232, 183, 177, 288, 793, 475, 709, 519, 931, 555, 659, 95, 908, 857, 396, 432, 156, 146, 878, 994, 113, 126, 46, 438, 193, 220, 741, 678, 366, 292, 873, 592, 280, 474, 518, 41, 635, 146, 601, 104, 821, 785, 580, 710, 416, 684, 307, 363, 245, 421, 853, 258, 122, 632, 637, 930, 286, 803, 610, 477, 784, 773, 640, 525, 772, 144, 453, 388, 736, 42, 677, 258, 184, 541, 598, 847, 193, 579, 180, 660, 556, 374, 845, 920, 925, 229, 223, 252, 522, 57, 822, 407, 436, 152, 159, 678, 543, 516, 374, 161, 318, 541, 798, 687, 633, 941},
{224, 98, 728, 631, 883, 462, 117, 665, 251, 48, 141, 460, 826, 82, 241, 242, 5, 829, 815, 99, 969, 124, 666, 56, 328, 203, 654, 294, 841, 693, 165, 56, 186, 592, 365, 738, 153, 374, 55, 428, 73, 718, 117, 423, 526, 892, 178, 306, 620, 546, 114, 786, 182, 505, 482, 835, 244, 181, 752, 596, 89, 380, 495, 189, 968, 611, 298, 798, 298, 488, 244, 359, 782, 445, 252, 771, 467, 784, 426, 797, 129, 35, 840, 700, 793, 682, 878, 263, 410, 628, 289, 21, 865, 112, 650, 421, 615, 452, 819, 153, 152, 657, 217, 68, 424, 858, 549, 969, 126, 566, 656, 24, 412, 939, 696, 710, 270, 630, 819, 54, 214, 252, 793, 301, 427, 225, 810, 390, 763, 543, 819, 281, 266, 13, 313, 682, 970, 629, 425, 799, 820, 87, 579, 461, 439, 811, 693, 388, 365, 577, 120, 454, 115, 480, 86, 456, 96, 978, 396, 328, 943, 804, 525, 736, 368, 733, 81, 687, 928, 647, 770, 115, 476, 823, 664, 419, 188, 97, 529, 571},
{203, 411, 476, 716, 884, 269, 957, 175, 650, 773, 414, 349, 122, 267, 508, 346, 59, 71, 934, 31, 199, 445, 262, 844, 633, 708, 102, 951, 811, 375, 206, 185, 597, 314, 746, 821, 78, 151, 108, 442, 961, 597, 46, 985, 492, 932, 923, 649, 758, 615, 58, 469, 180, 879, 917, 250, 717, 217, 21, 15, 59, 851, 907, 305, 629, 665, 475, 450, 775, 536, 326, 420, 884, 742, 486, 970, 526, 891, 11, 590, 914, 821, 551, 168, 126, 55, 908, 428, 543, 696, 958, 881, 941, 92, 116, 480, 472, 184, 673, 213, 556, 267, 930, 580, 388, 760, 38, 281, 259, 686, 838, 460, 445, 771, 842, 547, 750, 499, 620, 68, 85, 953, 568, 798, 658, 16, 988, 294, 464, 323, 847, 116, 734, 416, 451, 78, 951, 670, 450, 415, 838, 922, 306, 92, 442, 202, 337, 383, 86, 595, 958, 452, 484, 85, 592, 902, 755, 135, 973, 186, 440, 919, 278, 292, 837, 343, 561, 390, 197, 415, 511, 935, 320, 138, 385, 299, 125, 772, 320, 155, 591},
{253, 911, 716, 314, 557, 74, 379, 554, 39, 691, 518, 300, 86, 543, 967, 340, 991, 265, 187, 776, 573, 886, 253, 705, 912, 618, 571, 31, 583, 111, 645, 501, 837, 361, 351, 93, 547, 824, 872, 813, 140, 48, 894, 836, 356, 305, 692, 644, 443, 333, 466, 514, 311, 211, 661, 241, 236, 869, 15, 476, 951, 468, 787, 442, 347, 135, 958, 47, 519, 139, 147, 652, 659, 609, 721, 810, 81, 331, 807, 312, 717, 983, 935, 790, 598, 432, 625, 959, 120, 316, 544, 250, 427, 239, 763, 281, 838, 325, 254, 119, 58, 762, 3, 717, 865, 228, 33, 278, 78, 774, 174, 543, 828, 819, 634, 180, 659, 397, 316, 478, 463, 700, 330, 565, 65, 267, 355, 236, 105, 843, 325, 238, 954, 105, 428, 602, 566, 910, 555, 160, 519, 706, 144, 912, 80, 13, 821, 341, 685, 694, 396, 34, 167, 824, 482, 261, 942, 542, 539, 232, 600, 230, 134, 824, 541, 706, 19, 517, 844, 939, 22, 74, 84, 887, 781, 346, 621, 738, 104, 150, 790, 745},
{59, 786, 494, 295, 1, 250, 937, 606, 341, 505, 620, 713, 274, 561, 266, 956, 637, 205, 51, 248, 744, 405, 350, 801, 344, 357, 249, 857, 809, 93, 219, 148, 310, 359, 692, 526, 962, 221, 740, 202, 925, 464, 724, 524, 970, 396, 534, 57, 319, 115, 41, 41, 428, 632, 439, 931, 997, 523, 457, 855, 628, 902, 807, 262, 509, 629, 848, 980, 967, 588, 131, 185, 954, 790, 417, 447, 343, 815, 788, 236, 439, 817, 666, 665, 241, 904, 917, 289, 795, 220, 739, 24, 483, 442, 687, 51, 150, 777, 11, 672, 829, 691, 493, 666, 179, 798, 71, 639, 901, 348, 840, 218, 123, 674, 511, 734, 126, 865, 932, 189, 899, 602, 143, 895, 662, 848, 246, 179, 901, 578, 548, 907, 517, 245, 591, 425, 292, 43, 104, 680, 309, 332, 455, 937, 902, 760, 882, 500, 376, 726, 618, 285, 57, 835, 66, 928, 201, 914, 335, 343, 891, 945, 767, 286, 349, 40, 586, 556, 23, 170, 409, 891, 382, 927, 185, 506, 635, 27, 53, 473, 447, 594, 732},
{840, 319, 579, 313, 443, 511, 732, 726, 870, 242, 725, 775, 948, 435, 894, 310, 376, 489, 31, 30, 887, 345, 378, 449, 425, 657, 724, 742, 296, 25, 49, 557, 262, 19, 713, 396, 802, 260, 577, 822, 556, 857, 740, 594, 72, 366, 851, 779, 573, 795, 34, 83, 391, 338, 525, 871, 55, 200, 72, 865, 863, 342, 959, 43, 873, 993, 325, 84, 853, 497, 45, 613, 754, 461, 86, 527, 613, 161, 632, 976, 616, 880, 751, 940, 288, 171, 568, 860, 329, 48, 175, 517, 700, 751, 571, 202, 948, 57, 935, 209, 602, 43, 442, 883, 720, 879, 667, 767, 314, 457, 333, 859, 403, 614, 776, 656, 943, 327, 78, 441, 721, 453, 192, 210, 576, 535, 822, 759, 986, 724, 987, 712, 157, 107, 422, 670, 199, 578, 4, 271, 944, 950, 376, 639, 166, 151, 830, 638, 753, 217, 263, 342, 460, 293, 759, 365, 381, 976, 921, 42, 242, 188, 569, 951, 907, 179, 872, 975, 268, 450, 263, 862, 795, 92, 715, 297, 624, 524, 117, 578, 961, 687, 476, 324},
{994, 483, 653, 55, 248, 678, 174, 127, 499, 536, 402, 249, 963, 151, 56, 716, 427, 848, 562, 604, 433, 25, 276, 357, 389, 498, 931, 630, 713, 774, 982, 766, 711, 639, 715, 985, 923, 127, 56, 241, 108, 230, 69, 695, 836, 701, 991, 941, 941, 878, 506, 410, 690, 784, 666, 903, 614, 661, 515, 834, 369, 703, 969, 499, 898, 986, 14, 742, 390, 511, 540, 397, 254, 827, 496, 200, 374, 921, 99, 283, 428, 925, 985, 906, 919, 731, 119, 857, 900, 783, 162, 794, 62, 154, 810, 883, 964, 520, 271, 275, 740, 790, 671, 298, 491, 954, 685, 792, 946, 200, 84, 665, 700, 450, 220, 552, 481, 253, 694, 489, 452, 404, 576, 604, 507, 753, 575, 149, 899, 421, 527, 640, 296, 14, 391, 478, 523, 531, 695, 176, 879, 347, 74, 267, 857, 16, 49, 997, 501, 698, 733, 196, 474, 690, 479, 27, 63, 842, 796, 972, 997, 711, 60, 986, 980, 879, 610, 699, 222, 244, 871, 529, 142, 979, 8, 724, 625, 580, 480, 702, 859, 576, 553, 515, 830},
{530, 461, 918, 39, 471, 479, 316, 815, 167, 553, 798, 944, 564, 541, 598, 917, 269, 329, 554, 274, 149, 274, 591, 948, 32, 481, 796, 441, 991, 399, 404, 946, 882, 96, 906, 256, 659, 367, 504, 392, 483, 518, 382, 432, 780, 265, 578, 918, 249, 685, 785, 580, 218, 596, 50, 827, 972, 23, 196, 632, 345, 647, 752, 958, 376, 289, 314, 857, 899, 449, 560, 715, 678, 960, 605, 907, 99, 562, 959, 293, 509, 39, 133, 556, 995, 175, 861, 414, 754, 374, 969, 69, 270, 252, 157, 124, 157, 888, 343, 366, 911, 730, 790, 436, 762, 299, 889, 427, 513, 985, 369, 896, 542, 202, 690, 579, 116, 68, 581, 350, 770, 646, 950, 630, 825, 444, 938, 467, 988, 543, 491, 994, 647, 237, 613, 833, 642, 534, 445, 258, 260, 185, 392, 652, 721, 182, 785, 838, 664, 835, 16, 358, 984, 585, 598, 690, 941, 687, 418, 688, 600, 802, 239, 206, 548, 283, 646, 32, 286, 671, 763, 752, 884, 485, 463, 76, 279, 914, 279, 522, 62, 427, 924, 81, 721, 620},
{119, 613, 109, 873, 432, 317, 286, 480, 968, 522, 48, 983, 36, 468, 134, 383, 353, 471, 558, 707, 13, 56, 531, 241, 120, 251, 191, 312, 987, 175, 700, 150, 825, 497, 322, 772, 105, 108, 749, 256, 145, 583, 324, 15, 43, 605, 758, 932, 732, 552, 648, 247, 865, 882, 349, 144, 146, 762, 780, 876, 5, 651, 324, 93, 750, 176, 272, 736, 869, 704, 209, 534, 741, 460, 310, 628, 873, 896, 774, 342, 669, 337, 530, 399, 880, 526, 882, 226, 134, 848, 31, 55, 359, 463, 213, 680, 516, 464, 788, 646, 738, 535, 740, 549, 914, 208, 944, 915, 764, 6, 5, 810, 666, 238, 659, 931, 853, 162, 534, 442, 104, 535, 495, 220, 723, 349, 991, 496, 442, 654, 531, 114, 822, 969, 881, 723, 934, 684, 679, 315, 314, 270, 885, 383, 701, 863, 888, 910, 653, 953, 185, 83, 869, 520, 212, 321, 19, 924, 326, 776, 913, 265, 936, 929, 104, 720, 473, 272, 359, 599, 233, 382, 66, 418, 131, 871, 222, 389, 31, 779, 629, 77, 665, 3, 839, 857, 80},
{269, 619, 21, 206, 949, 995, 34, 402, 767, 453, 498, 764, 59, 463, 831, 594, 795, 342, 531, 643, 21, 375, 181, 683, 677, 244, 3, 479, 103, 72, 890, 493, 578, 815, 277, 487, 432, 296, 171, 737, 130, 903, 914, 759, 704, 909, 987, 280, 624, 327, 266, 677, 927, 506, 664, 288, 22, 978, 22, 777, 63, 570, 437, 217, 251, 518, 980, 671, 670, 78, 851, 849, 552, 170, 632, 814, 943, 684, 206, 838, 838, 397, 314, 243, 714, 892, 451, 456, 327, 473, 22, 585, 322, 843, 226, 520, 914, 217, 157, 947, 439, 629, 963, 692, 49, 418, 774, 487, 229, 266, 225, 602, 71, 709, 121, 775, 440, 732, 706, 528, 284, 925, 521, 270, 310, 699, 580, 554, 212, 192, 912, 474, 378, 871, 107, 450, 816, 285, 572, 636, 588, 58, 685, 699, 633, 29, 849, 44, 278, 387, 773, 397, 83, 733, 942, 266, 931, 302, 348, 982, 437, 965, 24, 917, 794, 228, 835, 990, 185, 155, 273, 768, 732, 59, 692, 299, 775, 814, 602, 308, 927, 869, 47, 573, 991, 392, 144, 55},
{292, 472, 95, 860, 426, 16, 780, 237, 700, 734, 163, 545, 814, 670, 288, 641, 411, 797, 626, 125, 200, 552, 876, 734, 288, 583, 91, 501, 176, 637, 193, 378, 685, 237, 530, 766, 687, 732, 72, 720, 109, 408, 301, 664, 147, 512, 601, 104, 17, 503, 201, 205, 824, 336, 291, 57, 372, 309, 15, 129, 778, 847, 402, 720, 819, 633, 199, 180, 799, 623, 733, 275, 579, 856, 659, 398, 107, 412, 420, 204, 444, 533, 772, 878, 792, 704, 544, 485, 483, 448, 93, 723, 244, 679, 600, 29, 303, 761, 410, 114, 41, 776, 133, 954, 9, 146, 97, 746, 52, 430, 80, 531, 199, 54, 901, 52, 740, 720, 632, 867, 624, 510, 639, 939, 892, 972, 663, 686, 372, 83, 427, 992, 280, 564, 12, 754, 677, 913, 412, 348, 970, 470, 192, 818, 745, 960, 160, 699, 305, 305, 318, 104, 177, 851, 128, 136, 745, 888, 296, 735, 876, 974, 895, 780, 114, 601, 580, 643, 544, 732, 95, 425, 935, 51, 57, 788, 123, 64, 192, 621, 890, 820, 842, 802, 812, 664, 562, 943, 600},
{310, 54, 355, 508, 531, 534, 366, 258, 955, 852, 847, 786, 725, 323, 971, 803, 330, 309, 253, 796, 504, 23, 450, 678, 903, 890, 194, 663, 220, 103, 85, 358, 485, 626, 578, 281, 615, 67, 188, 176, 605, 241, 393, 598, 429, 206, 201, 161, 371, 823, 464, 764, 440, 618, 902, 892, 551, 811, 294, 743, 349, 935, 434, 596, 923, 363, 273, 266, 159, 406, 116, 977, 146, 396, 885, 231, 910, 286, 235, 531, 664, 869, 708, 916, 966, 698, 283, 309, 446, 82, 310, 617, 193, 396, 344, 392, 541, 54, 359, 572, 716, 88, 581, 548, 747, 298, 551, 289, 128, 282, 45, 818, 899, 514, 160, 636, 298, 789, 245, 21, 548, 18, 306, 316, 183, 337, 208, 403, 55, 953, 286, 576, 266, 959, 957, 940, 366, 594, 520, 274, 545, 92, 648, 13, 984, 273, 972, 662, 191, 539, 788, 451, 922, 748, 113, 509, 283, 757, 276, 190, 630, 67, 755, 404, 262, 110, 188, 13, 196, 196, 363, 377, 1, 31, 548, 138, 316, 15, 638, 193, 621, 274, 520, 613, 824, 425, 487, 921, 480, 668},
{726, 787, 776, 667, 693, 662, 936, 55, 666, 314, 385, 114, 877, 525, 815, 336, 428, 449, 301, 118, 577, 241, 713, 810, 156, 626, 30, 691, 527, 5, 524, 219, 981, 537, 489, 84, 478, 423, 848, 175, 369, 222, 985, 551, 125, 673, 163, 911, 89, 889, 124, 868, 989, 242, 913, 513, 276, 475, 421, 396, 329, 852, 913, 67, 274, 158, 650, 726, 407, 450, 688, 398, 232, 334, 170, 244, 714, 348, 677, 324, 648, 785, 773, 118, 954, 909, 421, 604, 328, 27, 821, 560, 898, 373, 138, 999, 464, 70, 669, 363, 428, 684, 332, 130, 782, 100, 678, 52, 341, 442, 325, 52, 977, 797, 307, 184, 777, 344, 858, 724, 888, 288, 72, 593, 318, 707, 164, 809, 109, 973, 384, 647, 106, 972, 135, 448, 16, 714, 539, 801, 573, 261, 511, 978, 399, 121, 375, 3, 592, 385, 206, 741, 158, 923, 370, 758, 148, 895, 179, 411, 777, 673, 199, 902, 850, 52, 491, 525, 531, 251, 15, 372, 882, 812, 450, 146, 622, 937, 988, 536, 204, 224, 973, 809, 724, 16, 851, 887, 97, 798, 578},
{218, 621, 152, 486, 142, 390, 776, 634, 324, 904, 52, 820, 41, 939, 352, 777, 743, 941, 114, 542, 422, 193, 252, 627, 678, 564, 75, 421, 351, 926, 267, 202, 763, 189, 896, 232, 353, 493, 606, 684, 525, 325, 366, 573, 71, 141, 179, 412, 364, 677, 150, 84, 879, 259, 175, 268, 256, 296, 307, 837, 267, 618, 559, 828, 569, 493, 474, 925, 23, 943, 331, 953, 712, 470, 234, 506, 554, 401, 676, 675, 494, 865, 385, 834, 860, 825, 364, 558, 414, 687, 125, 47, 971, 777, 8, 910, 274, 331, 356, 711, 918, 762, 55, 498, 810, 637, 627, 423, 502, 186, 610, 648, 262, 205, 442, 959, 451, 881, 465, 896, 50, 412, 908, 764, 736, 301, 944, 565, 996, 849, 991, 781, 114, 684, 429, 918, 767, 123, 840, 909, 185, 798, 667, 795, 438, 245, 930, 589, 532, 86, 255, 849, 395, 50, 20, 307, 729, 286, 865, 815, 969, 361, 138, 22, 268, 877, 131, 412, 489, 855, 119, 785, 722, 918, 256, 818, 679, 829, 396, 88, 675, 113, 744, 821, 577, 343, 65, 679, 232, 188, 846, 75},
{400, 416, 430, 906, 154, 921, 597, 75, 26, 270, 555, 820, 926, 385, 543, 778, 27, 792, 522, 576, 299, 251, 540, 985, 426, 704, 406, 901, 109, 239, 222, 890, 598, 115, 211, 645, 437, 29, 5, 451, 2, 443, 226, 686, 392, 234, 753, 458, 652, 895, 575, 702, 72, 254, 448, 460, 533, 968, 927, 598, 519, 100, 492, 933, 348, 678, 600, 578, 703, 516, 502, 339, 306, 469, 572, 165, 834, 982, 710, 973, 858, 21, 114, 660, 566, 436, 330, 735, 568, 399, 42, 827, 885, 780, 501, 232, 530, 265, 826, 820, 737, 533, 689, 840, 23, 94, 47, 611, 685, 170, 631, 640, 319, 618, 930, 459, 161, 23, 208, 349, 827, 940, 960, 165, 107, 793, 852, 668, 989, 35, 798, 158, 51, 32, 354, 661, 618, 589, 995, 656, 929, 137, 172, 88, 585, 392, 254, 448, 196, 748, 626, 814, 53, 726, 201, 37, 26, 570, 576, 710, 666, 473, 929, 194, 660, 991, 446, 665, 374, 888, 797, 167, 197, 69, 718, 624, 823, 248, 203, 84, 373, 707, 253, 796, 488, 833, 349, 304, 146, 117, 52, 409, 956},
{953, 218, 743, 118, 893, 315, 674, 71, 961, 253, 454, 105, 276, 932, 849, 819, 480, 483, 952, 411, 447, 738, 537, 185, 285, 77, 92, 595, 933, 172, 629, 344, 554, 563, 481, 784, 442, 190, 523, 924, 449, 218, 732, 845, 732, 547, 519, 223, 220, 338, 39, 949, 325, 820, 537, 570, 306, 400, 877, 343, 167, 768, 546, 269, 129, 352, 832, 366, 543, 906, 357, 772, 539, 497, 822, 32, 861, 407, 660, 42, 123, 747, 246, 700, 99, 682, 476, 249, 831, 195, 820, 664, 26, 274, 381, 247, 623, 274, 123, 683, 522, 896, 186, 503, 98, 977, 117, 783, 574, 764, 935, 395, 315, 881, 170, 853, 779, 559, 393, 65, 255, 955, 344, 859, 441, 646, 389, 245, 639, 402, 970, 706, 599, 411, 684, 744, 51, 17, 781, 69, 552, 822, 255, 504, 581, 799, 115, 727, 729, 591, 115, 413, 440, 812, 972, 215, 980, 534, 102, 303, 257, 517, 936, 828, 616, 10, 248, 797, 12, 82, 217, 298, 783, 532, 642, 942, 811, 397, 368, 673, 12, 935, 926, 797, 970, 792, 412, 224, 3, 698, 815, 405, 101, 682},
{413, 399, 7, 285, 288, 821, 162, 636, 767, 162, 353, 630, 351, 136, 691, 609, 718, 232, 986, 119, 507, 641, 657, 331, 880, 48, 75, 677, 330, 599, 652, 69, 776, 498, 20, 847, 790, 267, 380, 278, 673, 724, 473, 938, 225, 102, 645, 861, 226, 531, 163, 643, 98, 343, 293, 35, 696, 235, 628, 711, 936, 377, 823, 29, 777, 966, 197, 557, 111, 561, 624, 128, 287, 758, 776, 905, 314, 454, 27, 767, 244, 942, 293, 846, 932, 593, 657, 695, 107, 685, 875, 906, 661, 285, 774, 424, 190, 683, 93, 5, 32, 45, 559, 464, 525, 344, 843, 401, 739, 645, 564, 79, 690, 985, 725, 5, 917, 926, 770, 553, 375, 867, 966, 656, 749, 804, 972, 200, 704, 96, 247, 243, 62, 151, 437, 614, 576, 705, 995, 759, 806, 466, 50, 890, 563, 479, 2, 691, 552, 536, 400, 806, 110, 283, 404, 310, 406, 474, 521, 210, 73, 993, 413, 765, 987, 845, 230, 92, 864, 300, 330, 75, 370, 791, 285, 84, 720, 943, 703, 382, 110, 331, 814, 377, 848, 182, 698, 92, 788, 254, 717, 290, 507, 542, 29},
{742, 676, 309, 3, 979, 253, 163, 4, 741, 447, 578, 270, 32, 888, 258, 553, 311, 65, 246, 787, 923, 892, 530, 286, 268, 242, 158, 875, 587, 324, 560, 938, 502, 125, 871, 551, 574, 500, 495, 770, 255, 84, 111, 648, 547, 944, 560, 763, 579, 764, 802, 854, 100, 388, 225, 686, 569, 790, 117, 392, 131, 836, 45, 370, 256, 767, 197, 279, 268, 973, 505, 767, 249, 467, 500, 399, 83, 429, 402, 633, 508, 362, 916, 817, 73, 662, 560, 914, 857, 875, 107, 63, 659, 504, 950, 158, 88, 19, 719, 323, 691, 604, 502, 550, 790, 290, 429, 777, 184, 318, 151, 398, 250, 989, 959, 498, 281, 802, 941, 139, 43, 345, 518, 651, 696, 328, 221, 212, 182, 85, 324, 940, 97, 94, 231, 382, 928, 366, 151, 509, 183, 46, 643, 328, 640, 188, 67, 743, 451, 489, 854, 597, 259, 694, 778, 705, 876, 493, 65, 249, 301, 9, 285, 135, 998, 375, 468, 766, 482, 493, 736, 231, 157, 774, 92, 77, 307, 578, 696, 681, 857, 84, 78, 757, 273, 552, 225, 625, 517, 266, 482, 760, 526, 973, 450, 534},
{60, 320, 863, 233, 88, 568, 567, 187, 122, 912, 232, 279, 24, 792, 443, 226, 836, 956, 151, 723, 164, 425, 225, 981, 445, 141, 49, 237, 230, 855, 671, 525, 230, 693, 26, 379, 492, 951, 91, 163, 487, 887, 731, 401, 322, 651, 91, 830, 547, 73, 89, 901, 234, 679, 550, 80, 76, 234, 935, 645, 311, 24, 496, 630, 134, 366, 865, 148, 98, 79, 808, 689, 751, 165, 839, 839, 340, 588, 928, 495, 988, 822, 349, 909, 181, 788, 995, 779, 731, 929, 197, 148, 678, 395, 95, 138, 706, 772, 191, 371, 754, 330, 529, 476, 456, 522, 293, 267, 936, 327, 307, 17, 256, 107, 44, 739, 517, 816, 257, 564, 221, 774, 291, 79, 977, 733, 449, 984, 85, 613, 539, 552, 802, 140, 862, 106, 385, 563, 469, 235, 42, 807, 450, 500, 60, 671, 413, 165, 239, 159, 46, 854, 665, 625, 861, 166, 576, 200, 787, 880, 740, 821, 277, 903, 372, 362, 968, 979, 14, 495, 784, 17, 268, 366, 509, 110, 483, 685, 532, 406, 742, 532, 469, 578, 571, 44, 765, 6, 792, 160, 268, 694, 873, 762, 932, 629, 920},
{886, 552, 505, 211, 144, 357, 712, 762, 158, 880, 73, 998, 577, 285, 39, 996, 214, 644, 985, 155, 939, 354, 787, 381, 229, 910, 77, 44, 698, 796, 468, 32, 500, 114, 544, 185, 229, 901, 593, 314, 835, 759, 937, 728, 117, 572, 159, 959, 532, 575, 720, 920, 468, 995, 266, 258, 579, 787, 349, 65, 491, 750, 473, 455, 4, 443, 99, 691, 879, 884, 703, 715, 477, 950, 77, 957, 750, 784, 786, 249, 600, 275, 131, 484, 178, 858, 982, 487, 488, 454, 624, 135, 566, 369, 51, 405, 575, 367, 260, 475, 408, 932, 703, 361, 761, 929, 441, 898, 182, 512, 535, 59, 313, 135, 846, 646, 401, 935, 746, 511, 141, 631, 193, 230, 113, 254, 246, 101, 383, 748, 395, 976, 332, 479, 974, 109, 394, 150, 567, 700, 203, 518, 517, 330, 579, 549, 584, 722, 903, 329, 347, 630, 684, 146, 150, 739, 549, 627, 280, 559, 452, 729, 592, 277, 637, 671, 965, 386, 785, 604, 830, 714, 784, 944, 507, 172, 818, 784, 227, 113, 778, 770, 540, 737, 525, 110, 277, 354, 228, 172, 335, 644, 776, 233, 354, 304, 310, 522},
{788, 544, 977, 635, 949, 4, 399, 786, 355, 524, 692, 106, 132, 132, 590, 404, 259, 296, 884, 359, 170, 204, 392, 123, 589, 357, 686, 708, 537, 276, 96, 316, 73, 468, 821, 991, 741, 112, 612, 603, 640, 83, 100, 146, 702, 80, 775, 816, 100, 574, 598, 133, 619, 246, 385, 606, 507, 379, 457, 126, 546, 407, 527, 257, 58, 429, 401, 139, 129, 69, 912, 487, 592, 467, 411, 524, 207, 572, 280, 309, 37, 124, 169, 15, 241, 898, 110, 234, 370, 869, 180, 226, 776, 856, 192, 379, 946, 194, 713, 821, 391, 656, 792, 277, 244, 634, 964, 728, 840, 110, 462, 432, 398, 513, 69, 112, 356, 936, 734, 937, 68, 505, 869, 19, 307, 925, 254, 693, 500, 379, 592, 870, 673, 922, 85, 24, 848, 555, 797, 225, 49, 907, 234, 760, 92, 311, 289, 492, 120, 622, 651, 69, 130, 777, 836, 525, 838, 511, 224, 594, 891, 60, 887, 262, 736, 942, 544, 711, 536, 129, 640, 839, 90, 969, 460, 921, 78, 314, 144, 867, 902, 95, 685, 730, 14, 535, 292, 778, 892, 804, 978, 514, 797, 624, 890, 427, 965, 830, 679},
{213, 227, 352, 156, 375, 856, 412, 599, 876, 91, 28, 321, 532, 918, 11, 550, 374, 644, 779, 221, 72, 249, 242, 33, 821, 753, 881, 13, 815, 625, 5, 838, 517, 792, 740, 427, 488, 939, 42, 600, 443, 615, 403, 186, 539, 107, 426, 560, 639, 193, 706, 488, 451, 640, 704, 60, 981, 749, 418, 708, 698, 362, 696, 539, 186, 466, 993, 695, 802, 947, 178, 53, 81, 107, 813, 328, 145, 260, 940, 585, 442, 120, 1, 211, 467, 691, 969, 661, 951, 77, 201, 655, 234, 960, 718, 54, 76, 506, 917, 352, 292, 73, 729, 576, 913, 469, 286, 369, 486, 405, 82, 256, 319, 457, 381, 365, 167, 117, 409, 386, 843, 431, 440, 180, 772, 347, 471, 241, 300, 102, 593, 179, 894, 910, 518, 469, 11, 776, 986, 11, 516, 435, 940, 431, 16, 346, 394, 656, 347, 159, 941, 6, 816, 257, 690, 933, 418, 847, 212, 630, 447, 542, 793, 831, 385, 525, 858, 602, 914, 245, 949, 336, 194, 982, 65, 894, 327, 822, 456, 630, 47, 283, 230, 29, 240, 350, 207, 822, 840, 690, 560, 754, 43, 619, 652, 585, 504, 765, 376, 566},
{419, 458, 56, 364, 912, 559, 591, 320, 191, 852, 151, 37, 296, 117, 134, 476, 90, 701, 558, 179, 329, 758, 269, 731, 271, 296, 585, 321, 321, 837, 90, 68, 599, 842, 270, 850, 187, 925, 638, 480, 28, 620, 768, 446, 112, 645, 409, 899, 608, 600, 474, 192, 107, 601, 229, 97, 936, 611, 460, 763, 862, 117, 731, 571, 87, 387, 117, 338, 587, 728, 936, 697, 331, 64, 103, 113, 746, 652, 659, 651, 201, 980, 957, 584, 888, 683, 736, 891, 680, 847, 9, 973, 981, 218, 323, 198, 599, 619, 418, 459, 926, 376, 726, 559, 507, 658, 498, 89, 185, 412, 532, 408, 592, 21, 642, 537, 692, 889, 6, 988, 448, 935, 505, 87, 480, 312, 4, 870, 721, 829, 268, 488, 689, 173, 886, 873, 966, 458, 135, 587, 889, 634, 175, 936, 232, 989, 394, 867, 893, 286, 930, 680, 202, 119, 677, 299, 482, 693, 102, 705, 930, 542, 268, 143, 722, 694, 327, 874, 468, 375, 580, 600, 800, 653, 930, 118, 944, 349, 170, 457, 540, 117, 96, 510, 891, 866, 879, 112, 54, 596, 462, 665, 872, 243, 9, 636, 167, 420, 625, 684, 704},
{722, 582, 758, 579, 871, 289, 216, 832, 101, 125, 925, 912, 65, 43, 355, 665, 31, 512, 816, 77, 265, 20, 447, 897, 348, 799, 976, 639, 610, 913, 20, 146, 994, 110, 450, 109, 452, 87, 399, 434, 383, 968, 559, 327, 754, 778, 759, 339, 259, 687, 236, 372, 268, 628, 633, 830, 430, 651, 523, 672, 441, 17, 148, 131, 909, 646, 179, 239, 263, 960, 511, 121, 321, 572, 489, 201, 506, 544, 517, 109, 656, 149, 711, 69, 69, 131, 84, 4, 694, 507, 783, 398, 380, 842, 97, 209, 686, 741, 186, 784, 65, 44, 91, 755, 128, 821, 113, 361, 341, 820, 506, 520, 695, 445, 348, 226, 839, 686, 581, 535, 695, 724, 469, 476, 816, 13, 115, 724, 591, 794, 308, 769, 958, 917, 640, 591, 448, 726, 778, 602, 238, 597, 769, 682, 379, 341, 494, 710, 530, 349, 731, 854, 320, 805, 792, 287, 943, 759, 375, 666, 716, 106, 94, 928, 74, 809, 151, 430, 961, 778, 706, 496, 636, 879, 849, 735, 649, 495, 489, 311, 187, 886, 102, 484, 1, 380, 25, 361, 886, 55, 933, 753, 20, 168, 171, 451, 514, 49, 869, 22, 227, 553},
{165, 453, 192, 455, 370, 561, 51, 369, 650, 115, 518, 860, 622, 64, 200, 437, 293, 67, 82, 6, 941, 777, 609, 209, 854, 978, 548, 762, 319, 717, 785, 570, 902, 32, 780, 907, 872, 757, 639, 406, 510, 132, 711, 949, 229, 634, 123, 801, 632, 541, 909, 486, 99, 191, 279, 988, 17, 853, 50, 824, 570, 376, 506, 399, 819, 496, 754, 874, 893, 844, 145, 444, 307, 161, 504, 527, 758, 162, 701, 874, 291, 876, 570, 26, 363, 951, 298, 839, 197, 615, 195, 59, 764, 516, 185, 13, 897, 625, 447, 563, 302, 739, 383, 385, 723, 914, 494, 480, 96, 315, 808, 605, 279, 556, 218, 951, 910, 612, 443, 964, 968, 743, 401, 690, 879, 717, 393, 397, 375, 777, 926, 514, 880, 466, 914, 117, 877, 395, 715, 292, 568, 498, 740, 731, 169, 138, 337, 771, 339, 659, 288, 977, 554, 663, 519, 41, 752, 276, 579, 409, 175, 193, 2, 613, 160, 123, 956, 677, 560, 509, 450, 364, 590, 127, 932, 252, 153, 188, 375, 811, 132, 109, 734, 698, 687, 985, 280, 482, 350, 107, 412, 876, 579, 560, 478, 351, 500, 98, 547, 680, 726, 944, 296},
{589, 562, 155, 937, 166, 338, 465, 618, 107, 360, 339, 805, 197, 725, 6, 979, 636, 290, 898, 384, 961, 161, 819, 658, 341, 424, 538, 950, 977, 231, 294, 487, 181, 11, 853, 649, 449, 303, 359, 329, 539, 644, 191, 675, 89, 20, 452, 429, 826, 610, 514, 657, 763, 954, 227, 103, 77, 202, 60, 323, 581, 821, 421, 458, 745, 990, 842, 775, 288, 895, 569, 116, 220, 360, 300, 959, 77, 525, 483, 143, 775, 791, 647, 165, 175, 885, 661, 632, 950, 681, 718, 623, 832, 376, 87, 661, 608, 724, 364, 558, 560, 290, 45, 572, 135, 101, 693, 249, 744, 663, 930, 780, 553, 23, 723, 954, 991, 448, 187, 580, 511, 374, 223, 770, 820, 392, 821, 639, 389, 500, 815, 752, 565, 282, 165, 151, 25, 379, 628, 895, 602, 443, 802, 841, 785, 727, 53, 793, 264, 632, 858, 301, 977, 785, 400, 60, 50, 725, 47, 335, 826, 818, 523, 847, 8, 846, 175, 296, 527, 588, 683, 52, 381, 816, 26, 606, 95, 332, 237, 13, 907, 96, 783, 923, 4, 1, 914, 820, 363, 583, 444, 663, 854, 786, 774, 542, 228, 935, 873, 822, 565, 212, 99, 952},
{574, 300, 444, 329, 806, 287, 818, 605, 557, 598, 432, 357, 688, 514, 231, 328, 106, 755, 582, 328, 927, 763, 93, 463, 683, 532, 542, 547, 982, 279, 367, 453, 234, 835, 69, 680, 896, 333, 186, 579, 675, 671, 197, 544, 842, 315, 830, 964, 545, 113, 786, 889, 594, 256, 771, 147, 678, 950, 135, 164, 430, 72, 75, 816, 15, 905, 569, 438, 192, 28, 727, 552, 906, 550, 199, 966, 494, 220, 677, 633, 545, 340, 259, 80, 322, 65, 644, 256, 350, 389, 708, 382, 508, 87, 992, 748, 464, 894, 25, 433, 822, 514, 232, 602, 685, 348, 354, 400, 658, 457, 934, 413, 477, 928, 456, 374, 575, 677, 120, 57, 895, 732, 111, 298, 150, 240, 417, 682, 572, 709, 921, 735, 917, 539, 547, 365, 93, 481, 674, 921, 349, 495, 928, 477, 394, 414, 703, 802, 139, 918, 457, 141, 54, 601, 911, 28, 261, 326, 759, 319, 561, 636, 396, 106, 559, 725, 477, 382, 958, 350, 834, 160, 836, 132, 368, 247, 449, 865, 75, 23, 693, 839, 296, 402, 838, 654, 590, 590, 607, 726, 391, 406, 929, 463, 736, 677, 984, 93, 938, 701, 227, 264, 976, 803, 165},
{821, 804, 810, 563, 625, 509, 636, 639, 870, 432, 255, 521, 144, 968, 34, 952, 367, 726, 783, 750, 834, 128, 908, 29, 826, 366, 726, 553, 614, 773, 354, 912, 262, 355, 576, 344, 297, 186, 751, 176, 209, 849, 113, 858, 713, 897, 814, 445, 925, 571, 660, 210, 873, 649, 767, 830, 300, 361, 311, 165, 310, 736, 132, 209, 228, 662, 192, 255, 989, 146, 808, 620, 471, 994, 111, 576, 449, 187, 429, 256, 291, 710, 159, 404, 43, 520, 178, 784, 346, 597, 112, 969, 443, 773, 530, 990, 648, 112, 698, 36, 797, 162, 638, 989, 584, 307, 75, 101, 186, 796, 297, 468, 270, 748, 94, 381, 260, 598, 711, 733, 772, 975, 186, 908, 225, 1, 523, 519, 947, 300, 944, 369, 550, 862, 787, 819, 931, 998, 753, 538, 55, 265, 881, 212, 546, 202, 14, 438, 259, 127, 530, 426, 138, 26, 836, 562, 159, 803, 415, 141, 621, 747, 250, 799, 793, 105, 82, 246, 752, 80, 284, 910, 286, 398, 82, 54, 889, 837, 485, 662, 210, 730, 576, 215, 770, 558, 716, 11, 465, 142, 850, 302, 75, 866, 311, 907, 34, 595, 443, 323, 781, 638, 919, 631, 262, 203},
{850, 633, 609, 265, 627, 727, 576, 665, 19, 4, 39, 570, 174, 936, 764, 113, 65, 809, 701, 175, 367, 719, 224, 761, 956, 606, 148, 369, 4, 242, 818, 69, 83, 554, 266, 778, 899, 934, 235, 312, 941, 451, 868, 397, 852, 984, 994, 759, 394, 344, 219, 764, 608, 385, 505, 874, 194, 969, 521, 349, 190, 391, 794, 208, 743, 516, 631, 445, 141, 508, 837, 924, 290, 420, 519, 119, 536, 364, 597, 132, 26, 223, 252, 15, 839, 90, 193, 421, 771, 690, 505, 72, 920, 65, 838, 332, 243, 707, 890, 449, 847, 141, 428, 629, 61, 678, 602, 208, 255, 709, 937, 592, 3, 415, 163, 559, 387, 230, 23, 727, 175, 761, 283, 718, 146, 71, 454, 597, 74, 439, 105, 678, 718, 783, 300, 669, 743, 844, 348, 437, 624, 184, 985, 380, 485, 797, 139, 501, 267, 826, 629, 827, 822, 481, 516, 690, 302, 766, 306, 778, 685, 38, 917, 567, 435, 695, 119, 900, 15, 594, 132, 33, 453, 836, 239, 417, 246, 676, 519, 881, 586, 197, 297, 589, 384, 265, 485, 387, 529, 45, 771, 709, 617, 976, 513, 190, 701, 731, 282, 543, 680, 109, 241, 74, 586, 210, 904},
{372, 434, 543, 384, 392, 216, 871, 939, 83, 350, 731, 488, 234, 151, 562, 742, 968, 875, 268, 823, 598, 528, 891, 531, 176, 867, 772, 896, 150, 5, 195, 320, 964, 572, 89, 383, 340, 690, 765, 346, 205, 845, 21, 487, 959, 394, 220, 672, 807, 566, 99, 988, 412, 767, 110, 823, 982, 466, 124, 521, 263, 174, 137, 633, 526, 818, 469, 822, 868, 376, 595, 667, 552, 699, 371, 998, 127, 364, 899, 885, 343, 773, 720, 63, 661, 901, 304, 439, 251, 824, 60, 266, 980, 643, 196, 731, 814, 466, 813, 993, 419, 881, 551, 153, 540, 760, 947, 246, 908, 266, 438, 123, 986, 688, 583, 971, 877, 79, 664, 346, 116, 686, 281, 774, 837, 897, 948, 412, 68, 700, 991, 759, 448, 717, 212, 146, 776, 469, 911, 550, 117, 883, 864, 348, 128, 992, 726, 722, 434, 400, 199, 819, 564, 388, 991, 205, 993, 446, 245, 813, 313, 602, 622, 386, 393, 204, 713, 318, 682, 668, 750, 975, 482, 297, 880, 795, 77, 481, 417, 861, 137, 450, 530, 301, 673, 299, 854, 503, 131, 184, 319, 94, 933, 407, 340, 626, 886, 641, 174, 159, 368, 674, 851, 229, 179, 860, 590, 274},
{238, 952, 33, 180, 64, 91, 937, 514, 113, 514, 189, 921, 611, 980, 142, 351, 470, 4, 304, 52, 227, 712, 357, 718, 751, 597, 326, 800, 607, 423, 481, 717, 554, 328, 206, 676, 657, 494, 647, 831, 890, 794, 418, 788, 881, 534, 27, 806, 685, 694, 962, 635, 86, 146, 590, 593, 928, 900, 87, 362, 421, 804, 659, 990, 185, 40, 206, 758, 66, 425, 382, 883, 351, 765, 772, 529, 119, 466, 489, 227, 870, 196, 67, 588, 484, 631, 938, 166, 801, 227, 169, 411, 801, 517, 326, 933, 444, 655, 580, 708, 731, 783, 155, 427, 420, 350, 239, 939, 144, 673, 352, 605, 407, 898, 932, 438, 999, 973, 622, 97, 946, 458, 312, 169, 991, 742, 512, 670, 984, 761, 39, 384, 236, 388, 307, 460, 102, 471, 763, 700, 567, 926, 101, 84, 577, 366, 950, 363, 237, 511, 680, 59, 734, 40, 778, 721, 73, 550, 61, 157, 230, 90, 597, 182, 386, 9, 808, 581, 230, 986, 695, 155, 193, 715, 491, 132, 620, 94, 355, 779, 540, 772, 896, 733, 706, 541, 432, 422, 988, 377, 855, 983, 63, 900, 957, 241, 556, 658, 797, 609, 460, 883, 493, 323, 678, 351, 405, 973, 43},
{515, 229, 166, 964, 387, 965, 42, 196, 479, 63, 527, 829, 744, 302, 428, 756, 610, 153, 904, 283, 127, 378, 444, 518, 723, 673, 176, 429, 312, 956, 266, 181, 251, 772, 156, 484, 250, 910, 640, 197, 382, 962, 102, 358, 238, 63, 756, 161, 674, 428, 427, 99, 765, 662, 183, 698, 332, 9, 156, 757, 845, 850, 21, 9, 619, 814, 863, 466, 928, 752, 658, 490, 107, 748, 157, 787, 728, 36, 772, 136, 711, 385, 931, 629, 525, 62, 482, 611, 739, 979, 944, 284, 813, 986, 787, 195, 389, 573, 471, 379, 330, 433, 684, 14, 408, 440, 52, 808, 843, 587, 624, 240, 889, 362, 615, 931, 244, 836, 176, 177, 379, 476, 487, 592, 792, 317, 74, 416, 782, 670, 60, 764, 604, 978, 12, 484, 755, 784, 134, 872, 696, 31, 852, 658, 551, 80, 213, 85, 177, 883, 135, 875, 523, 744, 259, 130, 422, 951, 28, 915, 733, 393, 692, 449, 312, 920, 119, 269, 399, 828, 638, 713, 853, 362, 692, 392, 99, 523, 700, 29, 789, 787, 385, 245, 978, 591, 789, 365, 5, 515, 362, 311, 392, 210, 749, 13, 830, 964, 418, 510, 688, 747, 829, 132, 563, 239, 627, 692, 117, 80},
{257, 661, 789, 108, 468, 624, 31, 829, 430, 184, 352, 756, 530, 656, 875, 527, 506, 503, 21, 912, 237, 495, 640, 921, 400, 18, 226, 212, 189, 743, 757, 931, 466, 173, 417, 925, 59, 152, 632, 982, 375, 553, 884, 400, 155, 751, 278, 707, 973, 401, 132, 824, 64, 278, 755, 254, 118, 633, 120, 206, 10, 597, 370, 687, 781, 639, 972, 639, 829, 18, 846, 233, 935, 414, 981, 254, 702, 696, 923, 331, 973, 837, 968, 445, 31, 552, 84, 753, 713, 142, 374, 255, 123, 359, 378, 274, 232, 862, 615, 5, 562, 950, 542, 621, 55, 840, 576, 569, 413, 710, 868, 704, 478, 61, 297, 868, 660, 775, 547, 356, 36, 380, 191, 476, 518, 623, 413, 73, 376, 464, 386, 433, 512, 974, 333, 497, 81, 444, 11, 643, 474, 182, 662, 630, 190, 147, 509, 457, 847, 535, 500, 2, 441, 893, 322, 310, 938, 154, 690, 307, 515, 220, 503, 531, 25, 402, 771, 221, 790, 23, 126, 676, 450, 986, 344, 413, 371, 971, 534, 12, 103, 177, 553, 958, 438, 210, 789, 996, 936, 822, 640, 679, 150, 657, 896, 899, 400, 79, 791, 113, 651, 466, 619, 881, 954, 39, 707, 126, 936, 425, 994},
{190, 43, 675, 635, 398, 589, 370, 862, 307, 173, 793, 790, 263, 686, 893, 989, 171, 4, 886, 398, 651, 354, 909, 635, 834, 584, 107, 796, 123, 774, 872, 626, 177, 126, 753, 317, 219, 651, 704, 276, 527, 969, 953, 893, 632, 396, 724, 739, 310, 634, 482, 615, 926, 570, 137, 620, 87, 88, 872, 665, 801, 340, 876, 929, 602, 642, 255, 370, 128, 970, 863, 709, 687, 112, 603, 307, 258, 623, 969, 921, 153, 136, 305, 672, 339, 983, 235, 418, 20, 798, 237, 382, 611, 483, 159, 90, 707, 955, 770, 593, 955, 132, 96, 509, 44, 899, 386, 622, 141, 243, 58, 668, 204, 263, 813, 450, 548, 554, 493, 619, 947, 308, 881, 284, 326, 530, 819, 131, 769, 991, 505, 872, 241, 851, 771, 660, 812, 447, 476, 548, 699, 368, 873, 250, 678, 794, 988, 172, 675, 41, 562, 159, 481, 394, 81, 480, 544, 621, 797, 330, 765, 973, 403, 504, 52, 123, 170, 11, 146, 241, 11, 36, 908, 311, 842, 116, 796, 898, 82, 346, 753, 769, 853, 167, 127, 197, 757, 612, 464, 291, 592, 879, 294, 417, 518, 757, 59, 614, 499, 745, 371, 931, 775, 662, 688, 786, 278, 179, 326, 746, 604, 957},
{426, 660, 192, 66, 148, 647, 793, 850, 885, 299, 227, 795, 743, 365, 636, 694, 865, 310, 179, 111, 463, 397, 141, 261, 537, 372, 966, 349, 380, 377, 585, 914, 896, 490, 723, 917, 668, 141, 593, 157, 480, 719, 463, 82, 709, 880, 149, 238, 578, 410, 366, 388, 784, 36, 243, 796, 426, 219, 11, 325, 457, 810, 60, 733, 131, 417, 65, 28, 31, 467, 885, 785, 302, 267, 267, 138, 668, 782, 173, 488, 634, 475, 738, 115, 60, 320, 423, 499, 931, 3, 922, 623, 736, 412, 818, 488, 308, 751, 706, 787, 402, 984, 790, 39, 547, 884, 528, 422, 889, 636, 924, 289, 876, 819, 516, 562, 613, 602, 905, 246, 626, 140, 959, 872, 623, 508, 409, 997, 516, 973, 669, 775, 631, 49, 126, 271, 570, 574, 24, 363, 609, 994, 341, 46, 879, 158, 743, 453, 843, 161, 740, 184, 711, 240, 718, 343, 540, 249, 376, 271, 708, 7, 405, 106, 354, 689, 966, 145, 147, 479, 629, 520, 449, 884, 951, 795, 522, 502, 818, 943, 961, 506, 980, 617, 912, 815, 975, 733, 972, 724, 762, 202, 896, 738, 949, 28, 349, 534, 454, 137, 984, 222, 794, 993, 83, 549, 999, 519, 815, 306, 267, 839, 969},
{929, 121, 132, 611, 241, 778, 211, 763, 326, 857, 503, 609, 786, 330, 774, 148, 988, 856, 290, 484, 479, 250, 88, 156, 433, 816, 714, 976, 859, 777, 73, 888, 307, 781, 979, 233, 956, 784, 694, 654, 363, 190, 907, 585, 525, 211, 659, 886, 663, 879, 221, 757, 822, 978, 220, 458, 425, 443, 209, 754, 936, 471, 425, 248, 151, 641, 705, 889, 934, 855, 392, 84, 926, 778, 606, 725, 351, 805, 425, 416, 46, 223, 371, 886, 798, 427, 84, 335, 347, 499, 230, 4, 688, 437, 504, 808, 908, 625, 26, 261, 377, 891, 585, 227, 2, 628, 940, 295, 207, 23, 846, 655, 433, 394, 518, 435, 257, 976, 59, 366, 690, 309, 719, 512, 790, 508, 959, 549, 520, 337, 963, 735, 682, 931, 665, 292, 835, 474, 349, 372, 349, 876, 573, 200, 106, 762, 523, 214, 944, 656, 871, 274, 609, 273, 906, 74, 835, 290, 967, 897, 213, 741, 224, 800, 647, 485, 424, 63, 549, 784, 551, 550, 371, 132, 232, 181, 754, 875, 341, 293, 326, 106, 508, 103, 158, 487, 117, 814, 984, 435, 943, 212, 560, 103, 823, 674, 930, 128, 581, 695, 1, 4, 999, 882, 472, 214, 774, 364, 157, 11, 273, 264, 677, 796},
{375, 629, 778, 616, 849, 770, 856, 179, 523, 508, 777, 170, 973, 200, 755, 344, 581, 757, 901, 49, 564, 89, 977, 359, 75, 512, 107, 991, 473, 752, 410, 495, 708, 37, 42, 18, 85, 706, 676, 111, 783, 447, 276, 605, 210, 974, 871, 611, 618, 526, 180, 59, 481, 3, 111, 21, 781, 992, 586, 246, 701, 179, 662, 978, 235, 833, 637, 114, 858, 198, 671, 207, 716, 563, 468, 675, 768, 748, 759, 746, 931, 530, 597, 393, 541, 271, 14, 516, 411, 627, 195, 112, 328, 777, 125, 2, 89, 18, 613, 8, 77, 952, 712, 108, 952, 745, 813, 184, 220, 52, 94, 495, 337, 346, 607, 871, 531, 307, 16, 938, 701, 805, 829, 402, 593, 851, 130, 511, 964, 501, 859, 366, 584, 387, 218, 644, 734, 971, 124, 653, 345, 90, 445, 373, 13, 638, 476, 282, 931, 485, 153, 304, 207, 836, 606, 209, 105, 289, 978, 112, 534, 776, 856, 530, 480, 450, 290, 617, 143, 285, 113, 761, 271, 877, 242, 754, 539, 455, 642, 118, 853, 598, 945, 956, 151, 558, 38, 968, 599, 328, 528, 783, 106, 835, 657, 895, 686, 700, 115, 828, 565, 31, 202, 28, 843, 626, 979, 216, 180, 773, 333, 579, 234, 552, 408},
{223, 518, 191, 464, 766, 942, 566, 25, 846, 535, 339, 129, 531, 765, 628, 608, 355, 425, 333, 567, 746, 262, 384, 674, 124, 423, 294, 429, 821, 277, 318, 330, 312, 410, 449, 724, 899, 387, 223, 183, 177, 387, 34, 441, 52, 987, 237, 310, 80, 150, 831, 444, 170, 959, 922, 573, 480, 762, 479, 575, 451, 148, 133, 789, 475, 641, 889, 88, 684, 77, 654, 522, 672, 346, 425, 809, 740, 646, 860, 529, 468, 401, 658, 677, 942, 730, 872, 114, 9, 739, 853, 550, 269, 912, 949, 924, 401, 585, 527, 427, 519, 801, 115, 949, 967, 877, 693, 477, 917, 629, 245, 741, 598, 541, 670, 525, 792, 109, 116, 131, 496, 222, 546, 876, 274, 734, 137, 958, 875, 277, 683, 646, 189, 999, 770, 591, 402, 139, 862, 962, 570, 233, 868, 232, 439, 363, 931, 708, 454, 3, 417, 311, 388, 947, 81, 687, 904, 310, 427, 465, 682, 758, 98, 360, 430, 19, 959, 875, 234, 143, 220, 541, 217, 232, 520, 993, 377, 60, 446, 713, 864, 572, 318, 908, 622, 304, 426, 838, 541, 567, 123, 889, 756, 679, 283, 815, 734, 611, 709, 866, 107, 166, 985, 990, 31, 193, 125, 869, 996, 449, 136, 346, 589, 357, 270, 695},
{725, 371, 284, 274, 247, 608, 540, 323, 588, 146, 130, 73, 415, 701, 495, 848, 762, 407, 231, 576, 217, 47, 816, 951, 106, 448, 76, 528, 514, 661, 26, 173, 151, 201, 636, 640, 769, 894, 712, 519, 873, 816, 765, 433, 910, 379, 254, 156, 15, 906, 47, 291, 628, 901, 266, 223, 17, 796, 971, 355, 771, 177, 273, 32, 870, 357, 538, 151, 786, 699, 340, 167, 422, 255, 658, 109, 348, 160, 647, 260, 955, 700, 963, 347, 640, 115, 253, 457, 75, 31, 894, 392, 934, 869, 525, 855, 215, 701, 163, 700, 403, 790, 989, 409, 308, 524, 976, 158, 351, 491, 574, 97, 426, 233, 620, 912, 275, 604, 494, 361, 434, 704, 261, 230, 442, 106, 258, 82, 966, 428, 94, 228, 898, 381, 545, 613, 274, 41, 195, 654, 98, 502, 934, 656, 733, 21, 682, 100, 568, 421, 716, 969, 87, 867, 65, 287, 291, 32, 297, 207, 697, 352, 869, 331, 723, 315, 909, 395, 382, 666, 944, 122, 636, 16, 639, 810, 612, 560, 11, 210, 197, 565, 983, 293, 142, 783, 357, 857, 966, 206, 456, 251, 361, 441, 780, 133, 746, 513, 951, 885, 921, 63, 131, 203, 435, 795, 875, 400, 446, 490, 82, 216, 346, 54, 271, 214, 356},
{909, 980, 416, 628, 476, 424, 457, 133, 609, 906, 392, 751, 665, 707, 252, 557, 286, 280, 590, 203, 56, 620, 562, 726, 4, 655, 504, 834, 234, 289, 628, 905, 116, 549, 169, 543, 114, 904, 256, 503, 743, 416, 872, 187, 174, 832, 469, 736, 637, 148, 205, 938, 217, 398, 320, 775, 508, 694, 865, 488, 357, 562, 845, 421, 160, 677, 855, 773, 186, 998, 469, 615, 999, 109, 950, 158, 340, 301, 341, 342, 762, 581, 617, 248, 906, 300, 411, 707, 537, 534, 733, 757, 391, 750, 231, 262, 410, 467, 798, 108, 195, 850, 770, 858, 329, 210, 487, 678, 815, 352, 769, 593, 998, 619, 728, 899, 217, 241, 373, 644, 911, 300, 671, 591, 90, 226, 101, 48, 822, 233, 209, 246, 950, 526, 394, 706, 273, 412, 935, 166, 287, 696, 274, 201, 972, 848, 697, 636, 208, 475, 874, 186, 148, 575, 115, 561, 310, 898, 873, 432, 159, 490, 736, 238, 703, 159, 90, 810, 992, 171, 709, 188, 423, 962, 765, 771, 452, 17, 115, 232, 667, 361, 298, 121, 126, 325, 358, 232, 580, 290, 456, 136, 465, 179, 270, 162, 524, 332, 333, 340, 559, 251, 794, 459, 64, 399, 563, 459, 442, 881, 430, 805, 108, 367, 575, 393, 992, 59},
{795, 781, 914, 862, 897, 222, 791, 152, 989, 64, 933, 718, 781, 569, 489, 514, 615, 92, 667, 821, 667, 868, 533, 321, 630, 375, 26, 341, 270, 323, 328, 255, 410, 877, 884, 587, 282, 625, 171, 902, 671, 141, 783, 969, 984, 726, 528, 969, 149, 89, 995, 815, 280, 209, 501, 689, 167, 673, 409, 22, 907, 66, 554, 27, 512, 794, 931, 775, 869, 931, 836, 548, 235, 172, 382, 848, 342, 76, 689, 65, 286, 92, 64, 188, 574, 698, 159, 424, 130, 203, 486, 798, 561, 331, 596, 41, 730, 791, 939, 154, 501, 403, 699, 58, 548, 210, 880, 624, 310, 264, 540, 229, 451, 378, 327, 662, 714, 215, 446, 899, 676, 545, 734, 724, 684, 349, 796, 686, 248, 728, 49, 183, 234, 260, 71, 738, 477, 509, 897, 704, 859, 909, 734, 667, 460, 110, 127, 834, 129, 202, 788, 536, 707, 924, 135, 783, 193, 86, 71, 498, 294, 941, 723, 641, 244, 208, 637, 964, 188, 715, 402, 524, 184, 441, 804, 408, 641, 828, 381, 370, 27, 820, 689, 158, 794, 15, 677, 398, 799, 708, 324, 818, 884, 365, 70, 445, 969, 215, 681, 160, 701, 294, 842, 683, 659, 193, 192, 590, 193, 204, 528, 453, 172, 354, 579, 593, 355, 999, 114},
{194, 594, 302, 108, 722, 806, 901, 406, 722, 505, 539, 559, 25, 690, 222, 525, 338, 52, 741, 538, 14, 802, 29, 716, 490, 902, 857, 919, 539, 82, 879, 961, 13, 880, 833, 534, 182, 861, 48, 75, 145, 251, 13, 419, 25, 535, 917, 245, 831, 970, 499, 216, 930, 510, 468, 250, 58, 402, 66, 542, 662, 617, 36, 765, 176, 257, 371, 435, 488, 356, 762, 512, 494, 801, 561, 181, 118, 623, 425, 169, 589, 585, 555, 119, 88, 818, 556, 280, 103, 217, 546, 257, 954, 481, 37, 594, 994, 948, 543, 776, 919, 835, 590, 569, 495, 98, 989, 754, 735, 900, 853, 960, 251, 576, 761, 696, 25, 65, 942, 744, 395, 31, 97, 694, 346, 249, 699, 801, 534, 393, 265, 313, 659, 77, 35, 72, 885, 821, 9, 518, 16, 676, 55, 160, 60, 343, 81, 242, 611, 28, 889, 566, 223, 683, 407, 409, 554, 974, 398, 25, 627, 71, 692, 506, 967, 328, 178, 646, 744, 38, 509, 37, 284, 672, 563, 820, 503, 469, 172, 425, 849, 795, 519, 89, 349, 438, 954, 223, 194, 871, 622, 448, 135, 590, 448, 683, 595, 797, 556, 780, 66, 92, 95, 40, 784, 323, 779, 380, 195, 421, 233, 80, 910, 879, 309, 773, 204, 509, 165, 828},
{134, 237, 790, 299, 460, 19, 80, 445, 459, 390, 279, 143, 583, 756, 860, 644, 661, 332, 402, 796, 19, 513, 93, 241, 432, 580, 842, 140, 344, 827, 807, 634, 103, 628, 306, 610, 312, 468, 779, 332, 555, 702, 401, 152, 847, 625, 418, 827, 191, 469, 117, 925, 510, 112, 549, 432, 64, 595, 804, 958, 146, 61, 654, 866, 544, 292, 866, 218, 716, 924, 351, 731, 131, 255, 547, 791, 549, 759, 175, 150, 263, 627, 525, 151, 501, 95, 962, 196, 256, 892, 227, 693, 758, 885, 383, 914, 726, 840, 28, 23, 278, 334, 421, 42, 104, 986, 780, 678, 95, 581, 865, 730, 110, 117, 336, 265, 999, 559, 96, 887, 309, 817, 985, 194, 303, 509, 728, 931, 95, 175, 8, 491, 695, 934, 909, 81, 729, 993, 729, 380, 434, 22, 325, 469, 294, 225, 793, 596, 335, 780, 203, 704, 664, 461, 551, 637, 323, 436, 884, 684, 881, 665, 749, 410, 524, 840, 742, 749, 521, 513, 953, 982, 131, 918, 522, 520, 931, 13, 367, 393, 539, 418, 374, 976, 449, 272, 981, 722, 485, 492, 161, 646, 960, 577, 230, 894, 185, 871, 819, 941, 419, 171, 572, 907, 691, 653, 833, 18, 179, 370, 682, 450, 989, 975, 122, 702, 270, 921, 172, 110, 531},
{95, 885, 354, 952, 749, 21, 639, 231, 641, 228, 704, 206, 465, 131, 978, 140, 56, 575, 48, 964, 313, 705, 989, 293, 506, 225, 332, 256, 419, 352, 117, 472, 771, 557, 998, 587, 516, 94, 428, 858, 884, 711, 650, 183, 506, 727, 740, 840, 545, 778, 872, 965, 540, 183, 790, 427, 575, 819, 805, 357, 475, 829, 655, 45, 930, 248, 282, 301, 888, 886, 880, 672, 46, 382, 618, 83, 8, 381, 24, 576, 526, 220, 402, 844, 232, 319, 571, 124, 464, 738, 839, 881, 116, 991, 432, 410, 884, 258, 506, 100, 979, 606, 468, 692, 108, 690, 586, 239, 524, 658, 766, 872, 35, 700, 922, 728, 102, 714, 615, 510, 627, 101, 461, 295, 545, 549, 382, 101, 117, 19, 929, 665, 680, 794, 758, 622, 677, 637, 829, 7, 939, 540, 77, 572, 631, 569, 65, 940, 702, 552, 653, 994, 407, 157, 796, 260, 265, 36, 366, 226, 803, 245, 364, 707, 589, 132, 927, 361, 318, 242, 334, 433, 212, 548, 554, 660, 553, 509, 30, 980, 969, 27, 993, 404, 983, 375, 106, 933, 432, 553, 114, 916, 587, 340, 19, 575, 185, 500, 511, 763, 131, 259, 455, 174, 354, 114, 855, 341, 102, 557, 63, 759, 32, 35, 901, 375, 587, 783, 70, 513, 479, 770},
{412, 31, 593, 48, 606, 111, 254, 293, 411, 652, 589, 139, 830, 659, 678, 203, 509, 361, 292, 388, 179, 77, 258, 106, 228, 986, 955, 564, 325, 22, 971, 166, 550, 97, 699, 357, 686, 753, 573, 973, 148, 88, 623, 251, 544, 522, 288, 185, 989, 585, 747, 842, 132, 355, 558, 588, 291, 652, 44, 887, 251, 362, 729, 531, 15, 523, 63, 652, 263, 903, 828, 882, 369, 869, 949, 345, 530, 255, 809, 958, 27, 822, 848, 703, 641, 619, 938, 84, 5, 253, 976, 11, 6, 603, 187, 714, 424, 39, 881, 121, 640, 521, 794, 303, 601, 308, 656, 267, 241, 141, 387, 320, 181, 900, 121, 722, 866, 731, 303, 131, 261, 531, 263, 610, 811, 529, 9, 618, 730, 401, 425, 403, 512, 987, 764, 763, 257, 236, 36, 924, 555, 413, 920, 589, 652, 990, 889, 905, 127, 865, 500, 141, 555, 721, 251, 382, 493, 429, 951, 444, 653, 340, 296, 497, 319, 207, 222, 604, 887, 264, 668, 506, 936, 677, 555, 477, 355, 185, 169, 33, 879, 249, 633, 582, 871, 444, 835, 872, 261, 144, 981, 195, 379, 762, 954, 912, 839, 969, 772, 782, 689, 305, 753, 945, 852, 584, 419, 212, 233, 319, 807, 441, 940, 134, 601, 414, 808, 840, 415, 576, 747, 361, 637},
{417, 500, 203, 489, 72, 44, 551, 317, 929, 259, 325, 694, 633, 427, 741, 613, 908, 824, 46, 887, 54, 957, 36, 912, 773, 960, 959, 107, 277, 299, 153, 645, 200, 205, 517, 638, 966, 192, 575, 478, 668, 597, 365, 929, 388, 355, 888, 454, 192, 81, 166, 369, 655, 138, 209, 727, 904, 548, 396, 193, 632, 502, 778, 779, 422, 725, 841, 55, 57, 178, 114, 279, 165, 364, 797, 19, 671, 66, 312, 956, 70, 436, 200, 983, 422, 216, 386, 163, 351, 298, 181, 839, 21, 977, 721, 983, 249, 27, 787, 836, 429, 136, 49, 71, 944, 384, 844, 970, 51, 131, 517, 578, 52, 122, 212, 382, 699, 683, 750, 845, 381, 571, 915, 48, 630, 414, 986, 726, 879, 748, 891, 286, 197, 281, 677, 706, 945, 402, 334, 831, 918, 925, 145, 208, 525, 734, 886, 527, 31, 258, 174, 713, 682, 745, 160, 867, 798, 854, 643, 623, 544, 399, 318, 937, 152, 15, 566, 969, 832, 84, 719, 516, 455, 543, 141, 401, 375, 55, 856, 344, 437, 608, 695, 65, 287, 841, 74, 847, 602, 229, 620, 297, 749, 798, 808, 828, 673, 267, 658, 252, 556, 277, 336, 889, 847, 952, 176, 875, 854, 115, 272, 608, 940, 327, 254, 864, 763, 409, 300, 750, 704, 148, 746, 492},
{778, 768, 880, 16, 876, 101, 634, 475, 159, 511, 918, 101, 753, 409, 313, 246, 712, 511, 630, 101, 350, 159, 668, 289, 647, 647, 104, 510, 438, 929, 50, 439, 435, 76, 282, 346, 17, 557, 510, 275, 840, 757, 362, 166, 16, 119, 929, 13, 558, 979, 851, 993, 282, 468, 870, 537, 127, 796, 761, 435, 148, 894, 296, 471, 44, 625, 683, 482, 144, 755, 502, 423, 262, 427, 732, 802, 633, 149, 881, 804, 490, 205, 599, 504, 444, 964, 386, 873, 975, 757, 197, 669, 787, 894, 788, 885, 692, 902, 636, 168, 6, 241, 128, 504, 107, 632, 533, 511, 969, 585, 926, 865, 963, 895, 861, 783, 163, 678, 64, 934, 742, 976, 869, 902, 751, 106, 407, 57, 734, 664, 770, 749, 199, 584, 566, 845, 893, 686, 215, 907, 226, 948, 391, 796, 914, 95, 771, 66, 159, 182, 62, 282, 180, 575, 913, 325, 972, 58, 901, 806, 532, 883, 242, 948, 576, 229, 259, 689, 33, 863, 939, 308, 152, 852, 88, 540, 132, 750, 683, 65, 578, 67, 75, 197, 930, 729, 521, 835, 259, 924, 442, 12, 456, 939, 436, 879, 896, 592, 773, 624, 135, 399, 593, 559, 13, 913, 487, 624, 879, 534, 500, 615, 269, 661, 815, 742, 464, 299, 586, 502, 888, 59, 406, 472, 130},
{62, 916, 324, 730, 411, 905, 259, 573, 747, 48, 126, 805, 918, 138, 648, 765, 907, 248, 572, 310, 11, 751, 55, 261, 707, 588, 266, 446, 778, 427, 24, 930, 22, 626, 246, 610, 341, 34, 149, 293, 85, 673, 419, 727, 227, 330, 27, 870, 435, 897, 955, 790, 96, 78, 903, 244, 75, 730, 904, 915, 404, 683, 903, 731, 73, 335, 567, 438, 809, 731, 974, 866, 67, 104, 381, 884, 437, 20, 971, 113, 362, 444, 342, 838, 311, 956, 489, 466, 592, 328, 235, 21, 541, 449, 361, 902, 149, 344, 187, 136, 106, 619, 969, 810, 829, 245, 320, 267, 299, 993, 739, 873, 418, 231, 518, 894, 183, 994, 493, 45, 156, 445, 574, 818, 621, 880, 529, 556, 302, 432, 247, 548, 739, 472, 591, 139, 249, 542, 989, 956, 871, 291, 114, 871, 898, 525, 368, 246, 347, 974, 385, 344, 245, 784, 448, 533, 683, 68, 530, 46, 393, 59, 662, 597, 30, 576, 457, 175, 442, 490, 924, 596, 934, 873, 150, 281, 970, 340, 23, 803, 773, 836, 968, 411, 55, 822, 546, 657, 414, 320, 846, 708, 40, 812, 880, 688, 961, 335, 511, 612, 523, 394, 23, 108, 652, 539, 158, 103, 248, 513, 256, 126, 236, 912, 190, 661, 869, 200, 933, 281, 432, 719, 929, 868, 804, 112},
{911, 356, 281, 127, 458, 821, 608, 387, 380, 653, 480, 97, 949, 793, 603, 32, 129, 703, 39, 404, 180, 812, 702, 355, 504, 693, 823, 905, 71, 80, 640, 156, 591, 178, 842, 410, 437, 411, 74, 687, 368, 854, 331, 780, 322, 130, 241, 607, 884, 483, 986, 115, 567, 68, 165, 416, 695, 215, 927, 125, 509, 622, 579, 122, 107, 915, 210, 79, 949, 39, 53, 117, 975, 257, 982, 923, 798, 335, 8, 497, 95, 649, 615, 433, 21, 551, 604, 337, 438, 295, 376, 524, 798, 255, 677, 621, 764, 929, 505, 74, 35, 468, 198, 857, 382, 46, 740, 871, 617, 448, 966, 587, 58, 648, 656, 562, 57, 992, 481, 285, 371, 846, 377, 693, 422, 205, 207, 392, 12, 825, 505, 232, 698, 878, 685, 471, 797, 12, 348, 156, 972, 949, 210, 710, 437, 471, 768, 2, 88, 664, 996, 277, 298, 841, 249, 460, 656, 421, 97, 256, 706, 359, 990, 397, 585, 428, 466, 155, 544, 768, 148, 910, 502, 629, 927, 224, 163, 178, 507, 280, 726, 561, 977, 71, 890, 152, 211, 931, 685, 69, 629, 314, 637, 591, 347, 778, 912, 59, 770, 258, 387, 216, 494, 543, 26, 712, 727, 836, 577, 679, 548, 935, 335, 836, 2, 299, 653, 634, 417, 793, 964, 274, 377, 399, 296, 288, 410},
{551, 640, 558, 868, 45, 119, 257, 412, 650, 538, 230, 198, 680, 826, 762, 163, 746, 830, 490, 778, 860, 127, 480, 243, 847, 835, 126, 400, 776, 896, 578, 568, 718, 903, 870, 70, 706, 394, 764, 509, 190, 444, 638, 727, 639, 509, 371, 941, 216, 732, 299, 782, 553, 347, 797, 819, 811, 388, 919, 684, 92, 645, 853, 106, 213, 682, 651, 981, 622, 808, 796, 139, 897, 50, 696, 575, 922, 570, 133, 765, 298, 467, 4, 129, 966, 555, 460, 822, 357, 580, 655, 837, 571, 263, 920, 807, 259, 737, 85, 10, 875, 236, 61, 808, 957, 302, 582, 182, 888, 448, 138, 32, 384, 918, 742, 705, 616, 154, 189, 506, 411, 596, 784, 28, 477, 752, 410, 802, 971, 777, 934, 118, 12, 409, 632, 841, 922, 777, 271, 742, 123, 467, 966, 128, 533, 232, 734, 550, 335, 913, 903, 990, 693, 462, 209, 180, 800, 424, 424, 665, 221, 894, 859, 829, 56, 753, 917, 288, 878, 919, 151, 21, 762, 488, 969, 153, 950, 861, 217, 487, 905, 433, 304, 799, 511, 914, 523, 415, 215, 160, 441, 765, 734, 233, 971, 485, 774, 468, 872, 89, 867, 533, 898, 420, 69, 797, 794, 894, 722, 875, 629, 998, 951, 849, 716, 642, 806, 508, 518, 745, 277, 940, 473, 862, 451, 922, 644, 744},
{184, 864, 465, 482, 554, 518, 602, 295, 256, 260, 165, 50, 796, 509, 45, 360, 76, 789, 182, 451, 449, 985, 920, 13, 878, 611, 461, 958, 134, 253, 574, 342, 317, 940, 396, 669, 147, 860, 132, 524, 564, 707, 906, 697, 212, 962, 858, 19, 246, 584, 798, 672, 778, 889, 398, 86, 940, 902, 938, 394, 222, 98, 88, 94, 238, 222, 60, 722, 565, 874, 761, 326, 587, 588, 231, 28, 583, 453, 720, 223, 434, 725, 311, 795, 397, 425, 799, 297, 370, 703, 924, 198, 935, 595, 704, 152, 298, 842, 761, 744, 859, 687, 41, 323, 844, 861, 257, 309, 830, 521, 720, 901, 502, 568, 954, 142, 221, 576, 656, 142, 255, 581, 85, 686, 638, 74, 942, 506, 653, 873, 185, 287, 878, 981, 918, 864, 605, 143, 796, 116, 160, 578, 821, 797, 342, 298, 540, 904, 762, 472, 928, 215, 318, 549, 129, 311, 439, 228, 382, 743, 29, 911, 107, 5, 191, 983, 115, 590, 970, 102, 373, 801, 296, 707, 547, 840, 261, 132, 800, 428, 687, 995, 999, 405, 617, 91, 471, 755, 50, 546, 972, 50, 724, 909, 362, 566, 252, 701, 739, 249, 193, 102, 512, 219, 964, 720, 912, 786, 621, 778, 978, 750, 595, 654, 926, 337, 493, 428, 126, 288, 891, 985, 593, 465, 885, 261, 62, 822, 822},
{416, 170, 764, 249, 103, 260, 699, 622, 454, 612, 88, 727, 147, 667, 384, 77, 687, 935, 65, 769, 43, 864, 357, 450, 901, 859, 389, 11, 129, 57, 211, 640, 421, 169, 557, 673, 801, 963, 273, 437, 325, 452, 30, 962, 304, 903, 356, 994, 436, 170, 14, 205, 445, 620, 443, 885, 224, 191, 338, 714, 35, 652, 418, 335, 9, 257, 107, 625, 30, 304, 143, 522, 132, 37, 108, 177, 681, 508, 491, 40, 956, 685, 173, 194, 199, 140, 153, 885, 879, 109, 944, 743, 687, 580, 292, 602, 712, 339, 769, 221, 397, 569, 407, 419, 103, 699, 659, 328, 536, 671, 952, 516, 881, 698, 535, 714, 187, 886, 569, 773, 477, 807, 218, 236, 68, 206, 3, 617, 793, 568, 850, 101, 190, 185, 35, 820, 203, 693, 739, 364, 656, 803, 21, 387, 536, 84, 795, 529, 134, 192, 855, 863, 225, 954, 45, 235, 759, 2, 456, 707, 983, 476, 915, 262, 515, 493, 92, 564, 683, 619, 256, 363, 320, 618, 137, 574, 305, 121, 285, 637, 377, 663, 94, 70, 115, 757, 947, 451, 536, 258, 948, 270, 470, 340, 364, 130, 695, 779, 206, 852, 881, 115, 346, 922, 501, 473, 185, 493, 239, 490, 171, 972, 885, 835, 394, 756, 345, 268, 86, 278, 191, 52, 84, 941, 139, 805, 240, 883, 914, 550},
{301, 743, 275, 788, 7, 795, 332, 966, 28, 854, 929, 522, 894, 354, 532, 70, 234, 854, 997, 943, 513, 51, 620, 459, 932, 15, 61, 761, 305, 33, 114, 65, 564, 875, 782, 401, 975, 778, 808, 772, 296, 703, 614, 692, 864, 686, 614, 716, 65, 208, 966, 461, 684, 560, 157, 26, 442, 112, 234, 458, 352, 241, 138, 109, 669, 451, 317, 305, 859, 848, 746, 735, 421, 715, 546, 370, 402, 410, 621, 506, 155, 187, 134, 767, 205, 818, 154, 480, 101, 99, 568, 881, 774, 400, 129, 28, 254, 471, 585, 123, 516, 553, 993, 209, 923, 740, 605, 814, 927, 202, 260, 216, 690, 539, 793, 396, 838, 66, 817, 697, 844, 256, 131, 375, 384, 959, 172, 1, 640, 211, 141, 688, 680, 644, 883, 644, 945, 595, 165, 421, 409, 926, 718, 561, 124, 503, 333, 27, 765, 38, 287, 918, 222, 698, 630, 512, 477, 498, 193, 572, 812, 956, 686, 228, 849, 968, 948, 439, 46, 110, 205, 220, 50, 832, 194, 357, 773, 158, 159, 290, 80, 479, 973, 216, 804, 45, 157, 217, 150, 548, 101, 427, 633, 981, 622, 794, 409, 607, 871, 19, 222, 419, 674, 624, 235, 6, 658, 917, 669, 32, 868, 831, 553, 900, 138, 206, 844, 333, 175, 138, 872, 674, 185, 422, 325, 785, 853, 951, 13, 257, 699},
{184, 211, 508, 111, 422, 719, 71, 881, 711, 655, 959, 684, 620, 631, 597, 725, 21, 193, 192, 758, 269, 298, 796, 762, 861, 191, 566, 838, 711, 215, 874, 299, 697, 15, 7, 498, 31, 74, 138, 697, 263, 734, 189, 126, 505, 695, 909, 450, 515, 451, 262, 81, 821, 336, 765, 69, 29, 584, 958, 888, 716, 348, 562, 63, 128, 692, 229, 385, 986, 376, 4, 532, 305, 671, 737, 937, 31, 562, 733, 127, 741, 393, 859, 157, 346, 468, 189, 407, 961, 139, 14, 725, 674, 655, 702, 871, 938, 393, 473, 248, 699, 152, 604, 166, 188, 836, 996, 265, 491, 244, 288, 252, 660, 617, 898, 829, 108, 313, 504, 544, 480, 240, 428, 277, 44, 665, 350, 299, 828, 644, 564, 106, 442, 569, 711, 760, 524, 307, 589, 84, 241, 947, 122, 839, 108, 461, 60, 9, 701, 449, 306, 352, 469, 745, 28, 734, 968, 829, 868, 71, 324, 884, 643, 383, 602, 880, 886, 125, 100, 217, 479, 873, 257, 334, 383, 505, 12, 164, 210, 163, 931, 475, 921, 708, 402, 962, 501, 848, 459, 394, 814, 773, 620, 255, 218, 27, 179, 114, 678, 239, 22, 354, 321, 547, 947, 22, 325, 794, 855, 275, 69, 56, 929, 334, 235, 638, 121, 870, 376, 485, 833, 536, 81, 809, 670, 630, 450, 866, 530, 16, 74, 23},
{125, 7, 74, 624, 208, 339, 75, 770, 397, 319, 130, 739, 526, 875, 759, 711, 866, 594, 253, 429, 396, 739, 281, 608, 526, 908, 707, 233, 365, 246, 197, 357, 624, 66, 852, 663, 736, 334, 641, 844, 630, 699, 827, 788, 874, 676, 969, 685, 554, 128, 289, 428, 375, 429, 385, 84, 930, 545, 347, 819, 999, 815, 264, 353, 18, 373, 38, 931, 586, 25, 181, 858, 7, 868, 958, 792, 324, 107, 870, 407, 302, 309, 926, 502, 105, 843, 614, 341, 157, 339, 770, 796, 845, 781, 776, 874, 238, 317, 629, 337, 981, 907, 508, 420, 896, 733, 349, 96, 537, 648, 825, 949, 211, 40, 873, 492, 463, 173, 568, 636, 102, 470, 710, 178, 162, 191, 975, 307, 62, 684, 852, 604, 377, 709, 861, 485, 305, 318, 774, 783, 868, 459, 629, 17, 391, 764, 341, 861, 555, 933, 624, 581, 622, 783, 775, 431, 51, 268, 545, 580, 754, 756, 21, 700, 761, 394, 911, 188, 840, 673, 127, 924, 979, 194, 836, 580, 245, 190, 515, 749, 646, 601, 566, 606, 132, 329, 246, 349, 703, 865, 552, 436, 981, 659, 631, 509, 222, 417, 29, 930, 929, 42, 835, 59, 717, 70, 334, 780, 986, 262, 299, 270, 348, 487, 476, 664, 436, 143, 119, 153, 901, 146, 660, 948, 956, 962, 732, 764, 752, 230, 791, 707, 281},
{265, 536, 936, 232, 186, 169, 73, 429, 386, 286, 67, 54, 871, 869, 191, 825, 288, 398, 868, 757, 533, 567, 299, 846, 528, 523, 220, 316, 36, 751, 694, 604, 447, 989, 507, 350, 87, 618, 616, 9, 902, 993, 112, 619, 381, 89, 311, 419, 136, 641, 931, 717, 899, 713, 792, 426, 605, 211, 81, 148, 793, 446, 82, 573, 863, 248, 162, 198, 583, 521, 928, 63, 810, 347, 761, 301, 621, 931, 297, 750, 907, 752, 58, 806, 12, 229, 128, 977, 185, 122, 676, 321, 472, 660, 153, 42, 125, 79, 216, 72, 820, 851, 773, 359, 740, 410, 54, 941, 52, 547, 279, 612, 455, 27, 351, 124, 219, 135, 922, 449, 595, 50, 392, 554, 558, 939, 622, 513, 585, 628, 657, 562, 590, 538, 311, 873, 179, 362, 262, 400, 124, 570, 201, 144, 301, 445, 674, 591, 399, 792, 478, 852, 349, 871, 841, 270, 808, 354, 214, 850, 7, 344, 127, 923, 902, 548, 491, 819, 941, 737, 696, 239, 650, 509, 26, 176, 924, 215, 260, 952, 151, 603, 802, 922, 244, 394, 295, 904, 255, 510, 498, 248, 468, 146, 163, 698, 803, 208, 700, 926, 896, 897, 758, 659, 445, 381, 201, 818, 293, 566, 576, 17, 233, 960, 884, 14, 713, 471, 356, 470, 460, 810, 973, 441, 524, 837, 690, 585, 440, 777, 654, 966, 939, 770},
{236, 685, 198, 605, 359, 301, 654, 798, 436, 156, 260, 448, 207, 259, 421, 350, 889, 360, 21, 971, 396, 178, 623, 782, 757, 569, 379, 276, 548, 533, 215, 829, 862, 596, 603, 136, 279, 67, 570, 569, 371, 55, 642, 292, 522, 971, 111, 284, 196, 412, 328, 784, 371, 931, 761, 819, 526, 284, 173, 560, 448, 70, 591, 322, 114, 616, 743, 851, 95, 111, 200, 441, 236, 705, 781, 59, 872, 297, 706, 386, 441, 217, 562, 126, 175, 866, 398, 433, 512, 640, 181, 646, 938, 151, 385, 753, 264, 841, 717, 195, 751, 572, 841, 674, 79, 655, 507, 608, 859, 116, 660, 739, 329, 677, 959, 222, 847, 56, 614, 173, 75, 696, 631, 286, 17, 5, 334, 619, 680, 432, 519, 55, 714, 573, 712, 273, 252, 503, 776, 290, 162, 201, 551, 747, 33, 816, 307, 163, 521, 943, 525, 319, 153, 781, 941, 791, 239, 295, 818, 386, 384, 42, 170, 910, 927, 312, 992, 275, 780, 649, 612, 398, 313, 615, 931, 744, 368, 840, 702, 661, 4, 67, 942, 805, 258, 862, 287, 111, 117, 152, 340, 721, 844, 505, 97, 214, 21, 401, 103, 302, 971, 289, 295, 866, 713, 373, 430, 852, 223, 447, 559, 70, 609, 14, 284, 386, 710, 173, 416, 155, 761, 443, 240, 975, 35, 771, 762, 33, 768, 461, 245, 348, 283, 658, 806},
{225, 906, 332, 96, 86, 232, 381, 860, 641, 248, 646, 732, 57, 132, 82, 717, 369, 778, 311, 676, 915, 732, 88, 545, 932, 794, 960, 190, 822, 432, 539, 522, 792, 100, 357, 999, 708, 703, 251, 662, 41, 753, 561, 652, 718, 181, 216, 539, 561, 415, 941, 844, 704, 73, 435, 869, 119, 537, 304, 309, 852, 767, 995, 156, 133, 928, 717, 84, 837, 796, 582, 851, 108, 464, 809, 247, 104, 545, 830, 755, 974, 954, 601, 455, 132, 348, 213, 584, 821, 449, 179, 864, 816, 876, 381, 944, 754, 485, 744, 255, 308, 950, 133, 148, 874, 64, 857, 468, 940, 179, 434, 582, 618, 364, 909, 454, 99, 59, 174, 594, 935, 461, 138, 541, 144, 452, 577, 102, 55, 583, 729, 741, 768, 557, 446, 362, 819, 658, 809, 184, 371, 793, 658, 646, 833, 185, 370, 997, 344, 220, 608, 741, 905, 687, 449, 238, 360, 408, 496, 499, 529, 281, 83, 684, 45, 889, 664, 896, 389, 109, 865, 582, 623, 596, 381, 306, 128, 683, 149, 674, 431, 908, 775, 929, 867, 384, 179, 101, 377, 242, 825, 616, 215, 650, 731, 989, 745, 280, 590, 504, 754, 618, 46, 835, 929, 278, 100, 210, 245, 244, 101, 981, 975, 68, 595, 510, 31, 159, 537, 806, 37, 650, 26, 730, 392, 800, 777, 426, 115, 542, 990, 291, 824, 563, 149, 13},
{694, 257, 549, 122, 489, 15, 50, 49, 130, 555, 576, 908, 322, 426, 467, 106, 908, 391, 577, 360, 537, 143, 399, 974, 143, 657, 162, 971, 513, 573, 971, 239, 910, 161, 580, 987, 307, 804, 315, 607, 311, 451, 2, 505, 269, 116, 486, 600, 333, 401, 476, 952, 519, 916, 3, 426, 920, 688, 736, 375, 248, 869, 774, 107, 837, 573, 274, 246, 105, 225, 492, 218, 185, 601, 367, 764, 139, 634, 776, 788, 710, 156, 985, 835, 52, 958, 630, 229, 247, 968, 741, 198, 732, 843, 995, 338, 907, 19, 320, 406, 329, 91, 480, 743, 896, 428, 63, 617, 327, 69, 525, 344, 53, 288, 628, 399, 394, 719, 606, 590, 484, 521, 912, 10, 962, 893, 221, 693, 905, 203, 637, 853, 788, 59, 758, 73, 551, 975, 305, 86, 992, 646, 518, 654, 771, 450, 435, 546, 301, 540, 448, 824, 663, 735, 248, 508, 484, 503, 394, 135, 381, 502, 243, 929, 231, 532, 918, 93, 948, 215, 329, 170, 948, 443, 975, 610, 722, 428, 442, 381, 220, 170, 14, 947, 845, 301, 822, 26, 910, 578, 287, 237, 323, 704, 379, 238, 170, 798, 437, 913, 560, 592, 814, 971, 799, 340, 647, 635, 502, 506, 438, 151, 744, 532, 908, 531, 722, 375, 844, 281, 683, 30, 212, 848, 72, 993, 880, 220, 954, 426, 710, 342, 762, 835, 575, 79, 326},
{235, 153, 979, 991, 81, 960, 443, 316, 755, 137, 798, 476, 16, 967, 385, 83, 604, 991, 1, 494, 194, 801, 965, 102, 915, 328, 604, 319, 3, 493, 191, 126, 494, 570, 247, 148, 524, 546, 622, 169, 433, 7, 972, 885, 856, 847, 99, 496, 968, 172, 73, 398, 258, 281, 287, 866, 588, 603, 321, 112, 783, 701, 4, 500, 668, 279, 192, 49, 303, 222, 523, 533, 151, 281, 877, 679, 35, 954, 334, 924, 42, 487, 197, 207, 3, 672, 32, 68, 734, 350, 729, 123, 54, 22, 335, 592, 442, 50, 745, 187, 335, 256, 399, 88, 254, 582, 782, 150, 363, 631, 909, 748, 580, 579, 927, 869, 103, 910, 651, 166, 10, 913, 157, 664, 675, 646, 506, 773, 849, 385, 308, 17, 609, 158, 105, 655, 869, 47, 505, 1, 763, 402, 559, 738, 9, 960, 145, 41, 328, 137, 18, 586, 80, 445, 748, 860, 548, 71, 974, 282, 728, 111, 282, 742, 51, 916, 546, 155, 176, 226, 757, 459, 939, 533, 180, 323, 504, 230, 220, 489, 34, 567, 494, 292, 516, 436, 435, 379, 909, 284, 209, 110, 428, 217, 860, 367, 628, 507, 371, 804, 922, 241, 745, 630, 304, 843, 345, 95, 328, 541, 427, 774, 897, 618, 248, 614, 940, 489, 159, 415, 891, 200, 819, 143, 767, 948, 62, 984, 725, 631, 910, 566, 204, 186, 19, 105, 156, 761},
{52, 576, 410, 316, 599, 161, 911, 279, 820, 325, 422, 352, 348, 918, 318, 340, 944, 545, 246, 146, 15, 324, 753, 718, 370, 851, 475, 780, 566, 813, 107, 638, 731, 234, 182, 210, 47, 788, 619, 728, 943, 961, 122, 192, 641, 79, 757, 771, 871, 399, 497, 834, 498, 542, 11, 169, 275, 468, 824, 275, 166, 136, 758, 302, 499, 738, 657, 330, 711, 93, 607, 214, 608, 401, 187, 130, 858, 53, 827, 291, 921, 592, 998, 68, 722, 269, 804, 855, 161, 819, 498, 601, 986, 255, 630, 873, 665, 478, 769, 699, 583, 474, 241, 171, 381, 689, 900, 10, 226, 950, 740, 855, 579, 954, 34, 19, 369, 902, 808, 866, 516, 360, 663, 776, 432, 763, 332, 821, 484, 321, 948, 973, 357, 212, 657, 590, 970, 111, 72, 436, 850, 65, 112, 273, 871, 646, 891, 317, 877, 150, 681, 506, 974, 289, 432, 558, 243, 522, 994, 275, 162, 630, 960, 406, 347, 639, 3, 648, 47, 519, 685, 47, 443, 350, 9, 132, 999, 797, 333, 643, 975, 822, 930, 539, 760, 505, 136, 347, 842, 765, 947, 578, 112, 524, 987, 64, 646, 559, 922, 574, 308, 908, 795, 41, 291, 158, 252, 988, 214, 393, 294, 567, 474, 882, 24, 687, 374, 806, 838, 339, 937, 458, 640, 108, 458, 388, 958, 293, 538, 914, 300, 771, 796, 241, 671, 962, 482, 218, 967},
{801, 948, 412, 842, 641, 295, 733, 755, 381, 540, 337, 112, 928, 367, 898, 826, 325, 791, 640, 136, 437, 158, 704, 244, 193, 467, 519, 191, 722, 381, 863, 389, 613, 203, 213, 394, 739, 762, 764, 860, 750, 401, 291, 56, 365, 200, 580, 983, 89, 171, 743, 946, 798, 401, 158, 331, 960, 6, 116, 493, 880, 347, 524, 909, 489, 163, 177, 160, 648, 137, 145, 880, 876, 952, 861, 565, 652, 82, 296, 993, 215, 385, 465, 68, 857, 91, 149, 95, 238, 894, 343, 862, 174, 713, 445, 381, 698, 92, 588, 861, 909, 403, 871, 274, 288, 742, 438, 857, 702, 838, 493, 70, 286, 450, 393, 753, 738, 381, 865, 762, 354, 732, 284, 885, 293, 9, 676, 672, 151, 450, 778, 687, 906, 304, 56, 783, 705, 809, 64, 233, 741, 321, 882, 931, 711, 370, 698, 426, 922, 424, 730, 245, 173, 796, 863, 838, 911, 431, 303, 462, 81, 285, 509, 497, 211, 627, 474, 49, 42, 877, 127, 107, 961, 503, 291, 234, 33, 138, 144, 502, 218, 280, 570, 377, 715, 868, 174, 338, 964, 570, 924, 298, 981, 850, 614, 288, 170, 743, 356, 473, 646, 798, 318, 271, 423, 834, 773, 242, 489, 992, 352, 481, 970, 75, 33, 408, 37, 292, 53, 233, 178, 382, 386, 893, 788, 495, 881, 892, 746, 389, 435, 335, 806, 243, 826, 416, 210, 834, 964, 756},
{825, 923, 317, 273, 533, 414, 257, 736, 339, 298, 903, 752, 843, 414, 763, 684, 318, 788, 198, 944, 612, 705, 236, 152, 487, 641, 792, 908, 831, 944, 686, 296, 347, 424, 161, 785, 982, 47, 791, 903, 354, 569, 775, 897, 850, 275, 592, 625, 947, 901, 930, 84, 487, 523, 622, 299, 337, 380, 5, 799, 875, 624, 807, 516, 236, 500, 156, 754, 80, 769, 762, 831, 955, 56, 687, 94, 962, 362, 347, 246, 550, 234, 569, 414, 732, 898, 590, 867, 928, 243, 853, 108, 913, 702, 344, 894, 107, 919, 980, 827, 494, 595, 296, 313, 39, 45, 201, 79, 346, 834, 178, 949, 683, 301, 609, 211, 188, 900, 310, 782, 256, 101, 529, 330, 651, 971, 822, 649, 816, 722, 235, 900, 260, 158, 183, 746, 637, 477, 248, 55, 350, 833, 887, 566, 21, 854, 695, 882, 264, 646, 425, 168, 488, 854, 473, 218, 337, 43, 880, 922, 525, 970, 202, 693, 498, 379, 801, 132, 301, 515, 204, 76, 530, 960, 165, 155, 36, 270, 3, 173, 283, 587, 588, 957, 957, 632, 78, 796, 406, 437, 129, 205, 6, 757, 861, 589, 383, 373, 282, 306, 709, 361, 215, 704, 932, 997, 65, 56, 937, 172, 880, 624, 74, 45, 265, 763, 414, 227, 636, 633, 395, 941, 251, 9, 199, 462, 151, 716, 353, 616, 930, 431, 553, 320, 771, 895, 619, 882, 741, 189, 856},
{317, 735, 282, 802, 996, 768, 984, 516, 786, 543, 361, 87, 202, 366, 800, 32, 249, 482, 279, 581, 348, 895, 737, 649, 122, 536, 151, 445, 932, 431, 609, 276, 721, 173, 654, 76, 116, 559, 178, 582, 764, 745, 446, 915, 572, 632, 175, 468, 831, 499, 141, 687, 242, 85, 509, 317, 489, 414, 907, 90, 317, 677, 308, 721, 42, 379, 921, 271, 51, 787, 666, 588, 105, 441, 212, 624, 219, 104, 280, 823, 467, 94, 660, 707, 310, 338, 327, 997, 949, 882, 192, 332, 780, 819, 261, 688, 205, 767, 391, 134, 966, 87, 408, 411, 687, 29, 106, 163, 462, 836, 498, 325, 222, 668, 771, 307, 66, 844, 552, 129, 907, 564, 504, 582, 620, 720, 736, 833, 289, 855, 205, 616, 330, 618, 106, 327, 21, 311, 222, 844, 377, 245, 369, 915, 468, 645, 318, 246, 935, 809, 73, 264, 960, 53, 974, 658, 905, 749, 840, 405, 649, 414, 304, 968, 944, 363, 575, 759, 182, 942, 74, 747, 645, 709, 767, 320, 641, 236, 634, 100, 922, 378, 287, 446, 465, 988, 752, 811, 950, 11, 322, 930, 305, 845, 626, 80, 236, 671, 360, 278, 14, 130, 607, 370, 650, 432, 331, 351, 247, 445, 381, 217, 512, 800, 344, 829, 358, 383, 651, 11, 45, 830, 627, 148, 561, 826, 576, 65, 791, 48, 589, 841, 561, 583, 480, 531, 825, 542, 136, 469, 115, 342},
{628, 944, 837, 851, 636, 552, 219, 194, 52, 467, 419, 482, 195, 192, 894, 194, 721, 114, 142, 204, 101, 296, 767, 713, 578, 526, 257, 455, 622, 592, 899, 567, 186, 85, 89, 500, 535, 858, 589, 151, 36, 411, 473, 173, 13, 30, 83, 84, 758, 575, 802, 347, 796, 124, 417, 88, 782, 532, 526, 476, 777, 157, 843, 98, 189, 616, 174, 828, 382, 468, 542, 829, 792, 124, 248, 271, 419, 143, 579, 317, 719, 298, 554, 726, 266, 441, 324, 125, 997, 253, 814, 658, 552, 424, 774, 259, 927, 659, 632, 200, 724, 202, 497, 979, 257, 215, 151, 789, 151, 465, 150, 39, 427, 226, 982, 425, 642, 240, 779, 47, 417, 833, 249, 908, 546, 45, 362, 987, 935, 691, 793, 680, 811, 851, 287, 97, 9, 149, 926, 119, 651, 562, 748, 605, 206, 237, 265, 406, 720, 892, 241, 79, 42, 4, 500, 344, 932, 861, 627, 344, 318, 10, 189, 704, 327, 303, 479, 250, 418, 24, 885, 5, 616, 73, 648, 723, 837, 230, 202, 805, 322, 892, 274, 900, 457, 488, 631, 897, 632, 977, 691, 278, 335, 453, 213, 993, 382, 906, 938, 154, 38, 602, 370, 783, 798, 388, 820, 836, 771, 472, 509, 477, 907, 853, 747, 348, 847, 656, 200, 179, 742, 57, 784, 634, 240, 364, 35, 729, 753, 103, 646, 500, 253, 587, 486, 860, 61, 588, 567, 759, 581, 185, 350},
{782, 443, 758, 273, 357, 272, 426, 601, 573, 215, 889, 498, 424, 354, 803, 758, 970, 373, 291, 768, 524, 173, 150, 72, 443, 672, 625, 398, 574, 673, 385, 122, 642, 510, 453, 900, 172, 178, 418, 671, 604, 778, 201, 292, 330, 408, 19, 835, 319, 67, 952, 973, 836, 780, 710, 921, 522, 868, 761, 160, 757, 245, 981, 494, 821, 675, 398, 57, 789, 179, 358, 532, 537, 121, 709, 248, 474, 117, 160, 724, 842, 544, 21, 996, 498, 323, 965, 261, 102, 645, 249, 420, 579, 490, 107, 693, 483, 102, 658, 741, 662, 71, 731, 695, 237, 311, 437, 75, 428, 20, 244, 801, 243, 636, 509, 460, 340, 961, 164, 471, 683, 814, 269, 95, 729, 62, 714, 39, 970, 413, 160, 966, 646, 103, 685, 404, 273, 480, 270, 364, 476, 559, 371, 525, 272, 788, 377, 940, 544, 666, 638, 60, 995, 307, 114, 326, 214, 776, 418, 727, 863, 808, 177, 452, 206, 500, 181, 237, 279, 745, 763, 94, 130, 415, 190, 843, 405, 795, 653, 286, 467, 358, 582, 887, 975, 719, 620, 615, 489, 573, 582, 873, 263, 426, 87, 565, 857, 231, 402, 953, 554, 385, 208, 383, 887, 88, 616, 857, 756, 792, 811, 180, 713, 308, 79, 639, 1, 122, 858, 203, 849, 722, 662, 793, 340, 958, 363, 512, 875, 31, 400, 596, 923, 271, 934, 500, 248, 731, 795, 730, 253, 497, 387, 964},
{463, 781, 378, 549, 371, 105, 62, 695, 65, 281, 798, 539, 126, 518, 822, 785, 238, 669, 6, 834, 844, 540, 877, 112, 974, 235, 317, 851, 44, 691, 853, 703, 45, 935, 426, 374, 38, 85, 812, 948, 270, 805, 650, 687, 561, 747, 126, 852, 832, 474, 976, 568, 761, 525, 378, 793, 608, 560, 687, 244, 180, 970, 742, 502, 762, 959, 643, 618, 589, 851, 481, 196, 100, 304, 494, 374, 784, 185, 519, 96, 898, 98, 401, 772, 710, 925, 252, 781, 226, 316, 39, 229, 527, 723, 17, 74, 971, 477, 952, 3, 479, 376, 902, 427, 81, 450, 561, 583, 680, 883, 835, 13, 735, 543, 356, 599, 182, 242, 92, 976, 459, 602, 97, 335, 935, 377, 690, 555, 400, 185, 58, 195, 507, 854, 319, 20, 264, 38, 628, 679, 670, 267, 740, 649, 647, 428, 805, 721, 222, 447, 832, 204, 752, 84, 398, 460, 660, 886, 703, 578, 728, 753, 971, 778, 555, 18, 558, 619, 115, 686, 856, 196, 758, 253, 229, 300, 146, 512, 756, 939, 789, 915, 554, 712, 879, 327, 755, 282, 27, 469, 44, 583, 413, 971, 794, 477, 561, 678, 472, 269, 654, 804, 888, 869, 825, 609, 371, 444, 399, 461, 658, 21, 364, 598, 550, 932, 700, 384, 972, 919, 357, 598, 115, 387, 758, 140, 743, 629, 759, 533, 619, 786, 838, 797, 181, 929, 172, 573, 313, 941, 933, 871, 63, 803, 800},
{451, 629, 479, 181, 623, 810, 844, 129, 240, 364, 5, 249, 717, 427, 911, 155, 216, 200, 400, 205, 518, 602, 631, 312, 713, 520, 476, 582, 539, 522, 548, 438, 111, 679, 411, 650, 815, 203, 42, 403, 346, 151, 709, 118, 218, 380, 313, 257, 599, 240, 623, 754, 984, 270, 41, 18, 47, 277, 245, 684, 981, 744, 526, 454, 822, 474, 729, 317, 462, 723, 420, 488, 587, 870, 357, 174, 353, 834, 356, 64, 344, 28, 385, 93, 332, 641, 77, 613, 398, 431, 900, 540, 206, 995, 880, 472, 616, 737, 137, 29, 383, 300, 477, 859, 349, 324, 949, 880, 432, 752, 573, 288, 703, 797, 412, 815, 21, 856, 790, 519, 21, 393, 747, 105, 731, 753, 715, 417, 731, 444, 43, 287, 547, 182, 203, 330, 965, 342, 452, 675, 4, 106, 230, 844, 575, 660, 857, 145, 299, 328, 904, 46, 454, 383, 181, 942, 860, 613, 449, 624, 297, 392, 813, 511, 155, 153, 250, 468, 211, 657, 862, 550, 750, 400, 297, 576, 802, 796, 182, 821, 904, 579, 600, 435, 642, 926, 381, 428, 196, 436, 411, 192, 257, 999, 284, 546, 974, 2, 337, 266, 42, 27, 528, 871, 640, 453, 675, 240, 723, 881, 280, 240, 28, 340, 551, 160, 297, 602, 253, 192, 415, 756, 691, 590, 547, 372, 506, 431, 919, 234, 913, 60, 578, 600, 712, 459, 315, 428, 668, 735, 976, 777, 864, 835, 518, 883},
{212, 463, 513, 40, 622, 823, 288, 433, 240, 519, 521, 611, 759, 407, 888, 38, 73, 697, 353, 547, 412, 912, 740, 109, 708, 585, 550, 462, 93, 721, 341, 620, 351, 152, 629, 165, 675, 823, 950, 556, 214, 11, 627, 369, 801, 184, 840, 504, 706, 959, 793, 925, 426, 182, 101, 426, 328, 670, 85, 220, 450, 580, 285, 933, 841, 645, 348, 698, 651, 798, 421, 594, 575, 789, 336, 667, 374, 450, 137, 86, 924, 225, 963, 805, 670, 395, 942, 239, 382, 211, 426, 69, 874, 798, 925, 278, 691, 265, 93, 903, 787, 918, 373, 803, 943, 874, 318, 944, 959, 635, 114, 320, 709, 394, 555, 640, 750, 934, 573, 363, 526, 993, 424, 452, 143, 852, 823, 514, 334, 779, 629, 580, 508, 609, 157, 877, 689, 442, 867, 379, 784, 925, 926, 790, 828, 53, 121, 891, 770, 760, 702, 845, 935, 855, 986, 167, 494, 952, 994, 501, 165, 198, 924, 315, 867, 507, 69, 851, 286, 927, 580, 438, 75, 524, 622, 343, 998, 895, 571, 894, 409, 986, 341, 499, 281, 419, 383, 554, 518, 923, 605, 938, 324, 817, 265, 976, 246, 661, 871, 256, 908, 380, 285, 690, 559, 164, 482, 553, 295, 392, 909, 987, 232, 705, 946, 675, 953, 68, 789, 928, 273, 348, 941, 457, 733, 512, 617, 465, 287, 976, 563, 522, 281, 77, 210, 869, 227, 872, 596, 440, 808, 709, 219, 879, 259, 64, 816},
{294, 535, 180, 99, 266, 678, 950, 610, 957, 386, 281, 245, 706, 92, 921, 403, 630, 775, 370, 422, 178, 331, 980, 701, 434, 565, 875, 907, 276, 785, 587, 735, 123, 525, 612, 966, 138, 135, 235, 997, 203, 878, 37, 570, 897, 665, 474, 175, 17, 760, 800, 493, 849, 642, 389, 263, 592, 679, 202, 195, 744, 445, 755, 869, 306, 311, 426, 116, 894, 410, 376, 981, 659, 198, 658, 292, 12, 600, 322, 713, 726, 200, 450, 432, 960, 956, 80, 809, 64, 771, 953, 848, 844, 530, 828, 913, 140, 395, 876, 885, 99, 766, 354, 885, 588, 758, 274, 747, 535, 30, 316, 671, 816, 501, 549, 862, 486, 846, 877, 510, 804, 621, 265, 177, 493, 558, 920, 483, 106, 865, 636, 37, 216, 339, 342, 686, 382, 688, 816, 526, 474, 809, 166, 542, 9, 616, 336, 444, 609, 671, 465, 17, 544, 89, 309, 269, 592, 87, 327, 765, 142, 123, 281, 800, 540, 770, 346, 476, 164, 366, 807, 337, 592, 969, 393, 927, 592, 386, 157, 555, 285, 823, 642, 538, 6, 267, 720, 480, 895, 788, 96, 411, 177, 849, 20, 183, 387, 87, 90, 167, 617, 203, 408, 117, 914, 399, 532, 63, 581, 143, 828, 217, 46, 244, 843, 177, 361, 895, 258, 173, 136, 757, 857, 678, 908, 239, 678, 514, 522, 826, 157, 449, 88, 684, 707, 402, 474, 792, 577, 581, 112, 555, 242, 269, 64, 169, 893, 514},
{958, 26, 729, 707, 393, 86, 898, 832, 826, 463, 926, 251, 849, 426, 371, 999, 915, 652, 272, 937, 304, 843, 685, 540, 99, 732, 220, 798, 456, 138, 30, 439, 283, 925, 157, 680, 719, 677, 483, 790, 498, 400, 764, 31, 342, 842, 442, 942, 31, 843, 935, 542, 689, 682, 126, 687, 140, 566, 620, 815, 850, 247, 154, 235, 169, 245, 198, 413, 6, 314, 434, 13, 90, 608, 250, 966, 233, 440, 849, 552, 793, 673, 845, 225, 664, 572, 481, 985, 668, 334, 698, 181, 191, 659, 355, 908, 272, 425, 812, 691, 113, 975, 954, 652, 149, 547, 484, 210, 441, 114, 977, 216, 83, 274, 754, 545, 755, 850, 93, 378, 353, 547, 705, 780, 796, 350, 665, 776, 783, 362, 184, 754, 235, 406, 704, 951, 633, 53, 837, 742, 266, 674, 510, 637, 640, 780, 567, 233, 980, 122, 769, 813, 757, 47, 753, 956, 675, 122, 76, 298, 391, 313, 884, 536, 526, 929, 125, 883, 186, 59, 437, 430, 312, 477, 62, 299, 659, 866, 132, 47, 99, 699, 729, 514, 239, 356, 916, 179, 79, 850, 796, 156, 503, 64, 299, 151, 972, 521, 13, 49, 666, 576, 892, 331, 680, 299, 67, 168, 624, 528, 285, 892, 103, 297, 804, 497, 103, 276, 587, 974, 315, 997, 772, 589, 706, 333, 290, 634, 512, 121, 347, 823, 927, 909, 283, 238, 401, 470, 920, 654, 407, 126, 146, 185, 968, 972, 890, 346, 7},
{734, 86, 107, 807, 360, 445, 980, 488, 439, 120, 934, 409, 203, 367, 752, 844, 137, 383, 487, 117, 257, 363, 819, 599, 664, 660, 464, 652, 321, 648, 228, 613, 887, 514, 997, 401, 76, 763, 684, 197, 210, 616, 150, 872, 591, 888, 195, 592, 827, 149, 7, 20, 485, 120, 832, 112, 331, 394, 256, 339, 915, 448, 167, 491, 465, 864, 405, 930, 882, 448, 113, 262, 140, 593, 16, 933, 531, 890, 220, 175, 20, 446, 619, 33, 426, 785, 680, 9, 284, 577, 194, 934, 998, 578, 565, 275, 370, 374, 355, 18, 617, 505, 67, 657, 807, 520, 648, 564, 999, 332, 752, 204, 445, 35, 593, 247, 924, 965, 124, 602, 685, 397, 373, 816, 428, 688, 970, 61, 528, 130, 311, 143, 974, 986, 320, 618, 531, 440, 530, 48, 282, 229, 970, 925, 997, 796, 446, 605, 776, 663, 908, 793, 988, 545, 973, 833, 865, 493, 100, 63, 984, 930, 604, 946, 510, 5, 453, 607, 285, 139, 752, 605, 779, 981, 947, 500, 462, 221, 994, 838, 361, 913, 220, 659, 476, 7, 119, 547, 223, 723, 107, 519, 256, 388, 113, 791, 898, 992, 933, 530, 854, 565, 502, 265, 85, 948, 548, 529, 485, 132, 657, 643, 520, 678, 392, 299, 43, 108, 992, 730, 350, 321, 106, 841, 925, 285, 184, 573, 432, 220, 452, 199, 253, 495, 800, 983, 293, 272, 577, 835, 798, 673, 4, 129, 688, 975, 867, 918, 233, 809},
{204, 118, 980, 896, 938, 20, 492, 183, 812, 779, 780, 552, 503, 52, 378, 459, 495, 22, 573, 951, 170, 489, 695, 537, 562, 488, 273, 272, 402, 180, 527, 250, 399, 401, 924, 422, 197, 276, 472, 277, 70, 797, 996, 468, 221, 116, 927, 902, 497, 561, 985, 173, 442, 90, 750, 449, 864, 941, 284, 121, 525, 781, 879, 538, 126, 471, 508, 187, 495, 964, 744, 504, 775, 475, 766, 317, 456, 227, 556, 609, 272, 582, 547, 878, 385, 288, 796, 895, 753, 919, 211, 49, 248, 307, 499, 799, 950, 925, 268, 995, 984, 732, 151, 895, 431, 932, 917, 835, 119, 490, 290, 371, 576, 979, 550, 597, 8, 573, 147, 107, 929, 495, 159, 690, 20, 315, 893, 471, 819, 804, 892, 618, 133, 913, 344, 189, 390, 618, 176, 906, 750, 997, 185, 902, 450, 941, 127, 514, 735, 292, 68, 289, 757, 70, 223, 183, 936, 675, 146, 840, 673, 595, 416, 490, 735, 190, 885, 679, 290, 619, 164, 577, 367, 797, 240, 15, 453, 567, 72, 803, 54, 933, 505, 105, 315, 306, 119, 797, 201, 165, 460, 844, 316, 477, 658, 662, 190, 490, 598, 331, 723, 223, 662, 316, 533, 106, 557, 32, 156, 739, 906, 195, 405, 656, 56, 407, 696, 318, 68, 828, 826, 305, 940, 112, 520, 817, 920, 4, 21, 145, 160, 130, 172, 724, 111, 529, 702, 772, 754, 459, 880, 247, 195, 806, 333, 64, 191, 217, 560, 99, 917},
{733, 600, 456, 631, 256, 400, 920, 923, 649, 641, 289, 953, 689, 177, 488, 365, 321, 795, 2, 622, 905, 685, 157, 115, 214, 880, 236, 731, 955, 937, 209, 532, 519, 285, 155, 800, 419, 22, 24, 5, 697, 381, 516, 167, 111, 769, 254, 702, 510, 35, 310, 42, 246, 608, 438, 272, 779, 231, 4, 569, 930, 278, 709, 415, 378, 85, 704, 479, 69, 268, 542, 556, 168, 754, 780, 142, 87, 144, 700, 72, 886, 29, 750, 138, 50, 155, 831, 769, 227, 607, 484, 644, 60, 755, 349, 589, 580, 345, 21, 243, 39, 949, 571, 719, 193, 979, 551, 970, 259, 589, 254, 604, 730, 103, 372, 698, 239, 37, 969, 524, 464, 416, 850, 164, 858, 817, 993, 730, 604, 517, 717, 252, 823, 176, 628, 329, 477, 749, 216, 346, 824, 663, 144, 366, 570, 882, 938, 828, 16, 161, 755, 832, 662, 643, 368, 81, 669, 986, 317, 546, 532, 360, 449, 538, 124, 964, 655, 102, 986, 254, 734, 659, 391, 617, 719, 361, 198, 129, 894, 866, 29, 872, 979, 194, 575, 499, 664, 812, 142, 915, 731, 404, 681, 405, 503, 536, 638, 107, 258, 80, 910, 449, 538, 350, 85, 79, 3, 790, 930, 819, 579, 542, 789, 437, 191, 368, 122, 317, 266, 220, 968, 684, 572, 212, 496, 660, 639, 872, 111, 280, 212, 326, 851, 578, 690, 503, 906, 970, 502, 552, 125, 480, 694, 390, 345, 786, 823, 704, 205, 692, 372, 824},
{860, 355, 534, 548, 685, 566, 179, 403, 620, 417, 202, 862, 282, 942, 283, 698, 336, 694, 269, 2, 934, 770, 19, 406, 193, 506, 566, 697, 791, 884, 881, 289, 781, 774, 356, 43, 604, 209, 350, 497, 128, 315, 824, 865, 243, 918, 94, 109, 193, 552, 211, 949, 330, 318, 375, 966, 455, 71, 983, 814, 233, 460, 676, 135, 432, 622, 752, 6, 901, 776, 872, 573, 269, 500, 832, 107, 293, 235, 488, 851, 740, 428, 649, 923, 358, 795, 843, 982, 292, 340, 391, 555, 844, 185, 145, 720, 975, 715, 601, 307, 400, 263, 805, 888, 397, 348, 632, 646, 709, 486, 573, 580, 40, 711, 127, 669, 651, 259, 232, 312, 576, 293, 971, 774, 728, 177, 961, 462, 25, 559, 378, 506, 237, 431, 632, 570, 879, 439, 30, 773, 937, 907, 599, 341, 560, 473, 471, 907, 199, 731, 785, 424, 805, 17, 156, 247, 848, 295, 118, 308, 870, 149, 838, 234, 249, 21, 604, 904, 642, 180, 231, 203, 293, 395, 616, 667, 35, 896, 101, 335, 348, 32, 159, 308, 278, 951, 236, 485, 360, 787, 197, 463, 962, 23, 955, 821, 616, 201, 332, 874, 958, 662, 87, 511, 909, 773, 376, 928, 565, 948, 587, 885, 79, 858, 628, 634, 507, 372, 243, 805, 176, 187, 904, 362, 643, 562, 101, 178, 743, 285, 622, 939, 498, 782, 587, 835, 940, 319, 481, 929, 978, 313, 465, 229, 507, 127, 556, 165, 891, 135, 68, 648, 800},
{457, 847, 891, 129, 543, 483, 923, 400, 684, 575, 82, 619, 601, 615, 810, 9, 531, 795, 758, 435, 560, 286, 528, 653, 548, 113, 417, 635, 660, 830, 144, 401, 385, 558, 867, 736, 940, 831, 767, 108, 118, 920, 82, 912, 960, 937, 765, 906, 149, 95, 887, 284, 579, 936, 447, 450, 463, 236, 573, 913, 177, 507, 928, 134, 232, 777, 752, 373, 975, 325, 139, 780, 69, 607, 61, 995, 348, 454, 164, 546, 426, 965, 517, 171, 253, 192, 401, 12, 924, 848, 640, 296, 208, 798, 216, 716, 622, 979, 638, 261, 423, 787, 65, 607, 494, 649, 267, 555, 7, 697, 294, 161, 646, 965, 181, 389, 383, 527, 63, 141, 34, 326, 863, 412, 312, 252, 109, 258, 695, 156, 459, 920, 158, 112, 305, 195, 783, 214, 107, 644, 307, 575, 217, 752, 900, 23, 588, 495, 870, 177, 119, 92, 518, 211, 386, 872, 72, 636, 170, 331, 495, 833, 475, 404, 960, 950, 724, 952, 962, 960, 437, 223, 355, 370, 954, 794, 101, 89, 726, 158, 138, 444, 273, 588, 569, 180, 160, 437, 332, 560, 241, 297, 620, 365, 987, 774, 568, 649, 928, 729, 158, 634, 98, 952, 857, 986, 931, 181, 255, 45, 207, 266, 809, 263, 503, 80, 921, 256, 109, 431, 692, 347, 506, 882, 119, 447, 320, 837, 973, 429, 143, 705, 297, 905, 698, 244, 239, 448, 671, 427, 985, 850, 868, 288, 637, 2, 563, 257, 191, 280, 538, 420, 243, 158},
{810, 3, 631, 905, 37, 124, 980, 824, 339, 524, 76, 462, 654, 545, 4, 642, 734, 118, 301, 951, 620, 875, 676, 531, 740, 816, 449, 621, 795, 123, 555, 358, 231, 838, 787, 720, 417, 121, 4, 366, 621, 685, 156, 348, 473, 889, 350, 321, 915, 611, 616, 933, 543, 719, 713, 525, 858, 470, 68, 146, 182, 585, 920, 145, 887, 162, 853, 303, 181, 751, 121, 514, 847, 180, 633, 556, 291, 688, 35, 346, 680, 984, 22, 418, 240, 660, 943, 28, 535, 208, 790, 433, 115, 596, 840, 420, 17, 907, 626, 30, 460, 109, 374, 845, 518, 378, 737, 866, 658, 774, 489, 186, 861, 240, 804, 227, 429, 39, 894, 256, 683, 815, 73, 240, 537, 356, 765, 904, 283, 4, 577, 14, 27, 436, 323, 487, 899, 166, 794, 942, 575, 698, 182, 661, 602, 748, 222, 774, 799, 307, 606, 666, 268, 630, 664, 217, 579, 399, 84, 519, 353, 442, 251, 138, 758, 358, 844, 798, 408, 338, 435, 663, 781, 268, 230, 945, 543, 953, 515, 729, 104, 884, 57, 259, 312, 556, 440, 873, 469, 757, 362, 3, 707, 606, 908, 330, 371, 363, 185, 312, 236, 226, 49, 723, 285, 347, 269, 811, 272, 322, 189, 914, 511, 260, 837, 141, 151, 331, 483, 797, 697, 386, 832, 783, 710, 844, 422, 96, 386, 533, 265, 909, 236, 597, 496, 467, 157, 896, 565, 125, 9, 543, 523, 458, 203, 355, 83, 331, 933, 32, 418, 114, 422, 826, 134},
{103, 925, 299, 424, 290, 357, 528, 226, 264, 46, 782, 64, 983, 561, 268, 376, 592, 554, 977, 349, 203, 222, 123, 645, 824, 383, 842, 998, 207, 134, 127, 300, 385, 687, 976, 700, 153, 343, 812, 237, 520, 472, 72, 675, 444, 44, 750, 571, 764, 479, 360, 67, 352, 573, 413, 521, 901, 799, 66, 930, 686, 568, 13, 998, 863, 912, 76, 834, 580, 629, 143, 543, 232, 121, 345, 345, 695, 67, 361, 491, 275, 565, 748, 919, 380, 570, 71, 529, 683, 311, 384, 965, 596, 862, 307, 22, 448, 174, 562, 107, 659, 706, 293, 767, 542, 273, 965, 892, 100, 798, 891, 64, 341, 502, 721, 509, 180, 432, 297, 236, 945, 385, 373, 228, 887, 971, 594, 25, 851, 11, 992, 634, 443, 488, 43, 464, 623, 18, 913, 892, 625, 144, 202, 167, 511, 825, 833, 569, 470, 139, 253, 135, 176, 579, 268, 797, 132, 325, 142, 514, 956, 504, 594, 773, 977, 790, 401, 921, 356, 632, 179, 888, 188, 35, 761, 247, 661, 111, 313, 988, 445, 522, 918, 70, 884, 546, 968, 546, 487, 739, 72, 89, 444, 86, 583, 760, 583, 51, 95, 210, 270, 210, 390, 851, 240, 964, 446, 178, 243, 417, 11, 75, 683, 618, 198, 913, 163, 290, 309, 218, 912, 582, 775, 928, 659, 613, 745, 606, 381, 304, 294, 485, 721, 541, 713, 882, 614, 776, 582, 379, 776, 977, 601, 81, 295, 266, 276, 494, 495, 669, 566, 763, 634, 181, 586, 531},
{738, 682, 257, 248, 74, 405, 599, 542, 335, 244, 979, 177, 613, 695, 237, 177, 605, 144, 35, 972, 329, 954, 224, 773, 814, 157, 226, 922, 865, 480, 693, 707, 976, 196, 766, 935, 968, 502, 268, 616, 682, 143, 80, 227, 348, 617, 766, 421, 884, 573, 235, 450, 423, 924, 858, 271, 816, 837, 992, 56, 765, 960, 316, 812, 454, 182, 710, 886, 263, 763, 699, 430, 220, 898, 598, 284, 331, 646, 607, 349, 835, 680, 51, 219, 713, 512, 843, 741, 514, 666, 53, 231, 661, 794, 121, 242, 905, 859, 898, 175, 565, 345, 165, 503, 472, 888, 702, 63, 320, 875, 323, 698, 238, 320, 454, 508, 978, 753, 51, 104, 54, 976, 589, 552, 509, 259, 889, 167, 842, 956, 331, 878, 679, 622, 788, 697, 469, 336, 280, 704, 401, 430, 892, 72, 178, 736, 993, 845, 53, 227, 166, 615, 766, 229, 541, 745, 614, 395, 438, 527, 926, 280, 278, 476, 630, 655, 778, 21, 425, 693, 327, 977, 336, 748, 263, 552, 47, 750, 493, 71, 471, 157, 541, 299, 484, 19, 619, 991, 592, 923, 787, 266, 590, 528, 604, 491, 940, 918, 910, 682, 678, 265, 583, 745, 153, 120, 133, 568, 788, 206, 1, 614, 378, 761, 308, 621, 100, 334, 567, 8, 591, 401, 581, 820, 911, 363, 343, 388, 163, 271, 259, 387, 874, 95, 425, 663, 981, 472, 6, 3, 393, 660, 991, 11, 676, 847, 728, 417, 369, 56, 675, 381, 748, 632, 752, 864, 729},
{722, 521, 716, 655, 183, 175, 895, 400, 91, 995, 146, 151, 403, 479, 563, 645, 327, 813, 675, 437, 664, 801, 71, 978, 714, 541, 153, 916, 332, 448, 293, 27, 393, 236, 509, 609, 206, 521, 818, 66, 407, 601, 568, 524, 473, 786, 395, 126, 269, 395, 919, 545, 999, 125, 935, 850, 495, 85, 649, 622, 40, 192, 465, 540, 824, 980, 925, 332, 699, 155, 673, 46, 75, 341, 728, 96, 737, 599, 942, 451, 839, 187, 224, 607, 526, 993, 17, 705, 493, 809, 566, 282, 272, 308, 691, 642, 197, 217, 148, 769, 802, 652, 186, 59, 878, 1, 555, 825, 531, 61, 67, 776, 375, 368, 757, 105, 406, 765, 895, 867, 217, 315, 303, 674, 942, 585, 972, 457, 739, 201, 526, 288, 658, 298, 837, 800, 489, 186, 63, 733, 509, 88, 406, 540, 138, 292, 152, 795, 133, 458, 907, 328, 345, 62, 541, 647, 18, 203, 990, 236, 295, 62, 975, 701, 889, 312, 671, 635, 843, 713, 560, 241, 928, 910, 995, 462, 508, 192, 516, 370, 636, 613, 567, 55, 730, 381, 85, 92, 431, 892, 347, 977, 142, 122, 618, 550, 317, 332, 345, 522, 774, 246, 113, 759, 188, 867, 126, 786, 427, 126, 711, 351, 624, 398, 248, 547, 653, 739, 934, 150, 242, 361, 52, 302, 59, 476, 683, 628, 937, 146, 427, 206, 887, 182, 246, 532, 610, 451, 460, 787, 90, 180, 868, 249, 189, 965, 103, 652, 329, 251, 629, 689, 48, 958, 263, 569, 639, 812},
{648, 763, 149, 670, 953, 648, 695, 790, 902, 726, 484, 599, 399, 508, 884, 916, 163, 964, 649, 57, 250, 619, 661, 440, 822, 12, 644, 596, 277, 255, 866, 494, 639, 844, 218, 186, 226, 715, 994, 605, 657, 770, 342, 240, 694, 760, 589, 77, 830, 444, 652, 860, 190, 412, 248, 254, 119, 820, 939, 917, 764, 570, 923, 878, 71, 100, 9, 817, 868, 109, 497, 53, 166, 949, 503, 86, 312, 373, 810, 529, 440, 580, 523, 119, 492, 266, 634, 324, 157, 441, 112, 715, 266, 335, 264, 893, 545, 624, 954, 262, 123, 551, 708, 348, 880, 243, 858, 678, 545, 688, 677, 468, 414, 366, 858, 483, 712, 502, 819, 483, 939, 281, 21, 603, 923, 101, 928, 865, 997, 160, 282, 776, 406, 222, 61, 629, 3, 416, 904, 680, 385, 309, 784, 869, 797, 299, 383, 121, 576, 581, 12, 521, 420, 547, 871, 929, 475, 520, 113, 591, 92, 124, 483, 404, 108, 443, 288, 346, 696, 359, 32, 420, 128, 92, 384, 186, 283, 34, 40, 570, 403, 416, 631, 205, 335, 214, 122, 951, 492, 969, 985, 667, 861, 884, 43, 458, 645, 610, 60, 895, 541, 683, 57, 689, 241, 403, 827, 298, 474, 286, 345, 852, 783, 931, 566, 535, 286, 236, 648, 254, 868, 425, 753, 60, 612, 291, 408, 250, 764, 379, 861, 511, 241, 557, 15, 778, 480, 606, 256, 714, 412, 983, 983, 820, 503, 874, 678, 264, 71, 19, 152, 412, 562, 577, 981, 933, 65, 454, 214},
{79, 88, 101, 119, 402, 586, 796, 190, 781, 251, 815, 549, 25, 344, 675, 659, 769, 725, 870, 556, 652, 270, 126, 822, 918, 580, 211, 159, 726, 746, 770, 755, 452, 923, 504, 585, 138, 656, 209, 407, 131, 223, 890, 510, 596, 742, 177, 191, 294, 414, 735, 523, 489, 79, 256, 250, 346, 221, 821, 515, 474, 643, 202, 715, 575, 311, 633, 965, 289, 282, 183, 560, 396, 197, 681, 313, 527, 577, 479, 865, 393, 11, 38, 887, 348, 390, 448, 583, 771, 563, 492, 90, 383, 89, 807, 132, 81, 325, 29, 799, 312, 749, 529, 407, 326, 214, 531, 193, 841, 835, 900, 33, 826, 360, 901, 451, 102, 125, 554, 944, 440, 206, 10, 50, 662, 915, 516, 628, 8, 625, 166, 589, 687, 763, 569, 598, 143, 925, 18, 387, 947, 292, 490, 953, 722, 889, 71, 264, 688, 820, 953, 88, 687, 254, 242, 253, 592, 846, 159, 881, 36, 265, 137, 183, 311, 650, 479, 968, 88, 204, 952, 332, 329, 531, 680, 903, 430, 37, 219, 626, 119, 458, 516, 311, 109, 562, 758, 72, 849, 144, 746, 348, 964, 731, 584, 399, 128, 817, 879, 69, 214, 7, 630, 102, 504, 214, 192, 514, 634, 920, 507, 347, 743, 549, 822, 615, 974, 222, 699, 456, 90, 501, 996, 239, 448, 260, 888, 911, 20, 464, 675, 956, 428, 493, 320, 100, 218, 603, 184, 380, 702, 274, 393, 247, 761, 468, 625, 122, 901, 299, 902, 251, 762, 190, 113, 739, 971, 375, 601, 376},
{945, 534, 146, 228, 787, 386, 18, 6, 895, 331, 661, 898, 296, 618, 692, 911, 986, 34, 567, 724, 775, 828, 272, 765, 196, 456, 812, 488, 88, 700, 131, 812, 327, 930, 290, 306, 44, 587, 443, 961, 347, 418, 125, 377, 229, 689, 887, 702, 859, 344, 149, 9, 910, 47, 401, 588, 915, 168, 607, 294, 894, 4, 672, 233, 686, 966, 413, 977, 435, 43, 283, 23, 709, 548, 477, 373, 568, 116, 687, 3, 706, 856, 939, 409, 479, 884, 446, 658, 221, 703, 328, 118, 770, 505, 399, 522, 536, 80, 966, 176, 730, 855, 690, 838, 650, 587, 174, 302, 994, 344, 835, 731, 259, 726, 49, 618, 174, 708, 246, 579, 13, 104, 904, 288, 350, 424, 892, 568, 514, 785, 643, 21, 526, 648, 33, 607, 821, 349, 626, 277, 409, 817, 172, 90, 410, 384, 837, 254, 128, 304, 693, 187, 865, 468, 397, 979, 762, 782, 828, 640, 773, 887, 717, 103, 786, 183, 887, 258, 555, 625, 859, 214, 786, 400, 942, 573, 231, 370, 886, 764, 84, 122, 363, 367, 357, 592, 268, 934, 108, 456, 909, 22, 618, 935, 629, 21, 637, 220, 290, 901, 813, 445, 408, 177, 285, 56, 355, 223, 230, 418, 211, 593, 816, 762, 374, 126, 636, 873, 915, 439, 190, 479, 55, 888, 391, 931, 833, 165, 416, 633, 228, 516, 392, 606, 478, 978, 600, 775, 393, 131, 869, 790, 727, 588, 793, 715, 522, 899, 257, 450, 450, 544, 498, 592, 826, 436, 614, 292, 889, 756, 956},
{776, 394, 892, 368, 437, 344, 26, 574, 749, 874, 194, 328, 857, 968, 663, 105, 350, 643, 133, 245, 596, 724, 538, 440, 45, 124, 266, 374, 49, 794, 131, 140, 97, 178, 827, 800, 822, 2, 423, 49, 800, 759, 120, 509, 931, 49, 712, 622, 158, 243, 86, 429, 373, 608, 677, 820, 649, 109, 7, 957, 316, 583, 276, 687, 997, 913, 564, 681, 469, 79, 316, 974, 57, 710, 684, 307, 352, 882, 763, 423, 234, 361, 906, 16, 517, 519, 149, 572, 81, 398, 203, 745, 990, 166, 618, 200, 953, 381, 486, 136, 434, 978, 493, 764, 877, 904, 232, 121, 813, 645, 398, 460, 23, 700, 949, 409, 593, 202, 304, 743, 430, 492, 440, 344, 714, 416, 58, 459, 876, 547, 59, 869, 885, 292, 236, 906, 34, 89, 431, 612, 955, 496, 407, 476, 306, 994, 339, 294, 384, 754, 127, 722, 3, 461, 723, 975, 80, 515, 253, 965, 726, 568, 22, 873, 131, 444, 412, 810, 131, 892, 284, 724, 190, 537, 703, 178, 440, 631, 790, 954, 537, 905, 959, 720, 375, 884, 112, 118, 90, 540, 161, 733, 379, 33, 830, 371, 885, 601, 830, 923, 289, 385, 374, 939, 788, 32, 482, 651, 846, 526, 674, 851, 462, 547, 473, 507, 691, 27, 593, 388, 865, 309, 819, 338, 737, 461, 351, 18, 789, 824, 833, 82, 69, 888, 379, 794, 210, 871, 634, 32, 752, 241, 336, 451, 476, 509, 895, 388, 221, 278, 220, 681, 603, 467, 387, 206, 99, 52, 801, 355, 183, 470},
{151, 117, 644, 34, 819, 641, 688, 292, 405, 423, 178, 359, 663, 293, 197, 588, 484, 435, 153, 839, 483, 561, 782, 828, 424, 160, 765, 678, 940, 506, 124, 846, 996, 714, 236, 72, 64, 663, 66, 834, 306, 68, 175, 108, 901, 321, 189, 829, 246, 973, 655, 652, 945, 894, 625, 969, 433, 215, 911, 138, 518, 130, 658, 113, 417, 520, 783, 433, 589, 133, 871, 570, 276, 762, 318, 226, 722, 458, 862, 48, 914, 307, 173, 588, 121, 739, 803, 68, 643, 618, 699, 644, 959, 616, 345, 438, 887, 493, 872, 537, 479, 929, 657, 555, 96, 530, 445, 92, 542, 429, 615, 613, 173, 705, 976, 878, 604, 486, 397, 991, 48, 149, 636, 581, 311, 544, 20, 399, 168, 517, 913, 851, 184, 298, 582, 556, 41, 539, 642, 91, 87, 835, 227, 477, 128, 628, 972, 806, 449, 239, 99, 644, 688, 655, 199, 492, 434, 373, 820, 639, 392, 253, 568, 204, 521, 864, 243, 11, 801, 268, 486, 240, 212, 486, 509, 446, 32, 215, 746, 631, 803, 459, 679, 552, 191, 852, 687, 335, 444, 400, 454, 766, 424, 248, 423, 336, 934, 896, 757, 242, 639, 929, 533, 59, 968, 963, 199, 719, 256, 9, 867, 782, 782, 849, 689, 704, 554, 368, 347, 972, 407, 953, 722, 509, 451, 290, 919, 720, 995, 818, 98, 931, 797, 138, 59, 692, 920, 458, 102, 656, 519, 944, 445, 288, 602, 496, 419, 649, 185, 31, 729, 923, 277, 850, 287, 119, 837, 16, 531, 614, 161, 969, 675},
{827, 166, 826, 45, 281, 712, 837, 491, 813, 354, 575, 921, 462, 959, 249, 107, 828, 182, 421, 308, 359, 93, 93, 693, 26, 219, 765, 186, 373, 774, 624, 170, 713, 190, 416, 419, 586, 885, 972, 751, 220, 837, 555, 132, 840, 663, 366, 396, 173, 874, 657, 340, 346, 419, 815, 638, 738, 853, 691, 949, 5, 326, 246, 615, 625, 29, 237, 548, 860, 950, 316, 275, 902, 557, 372, 602, 360, 507, 399, 45, 939, 609, 448, 982, 352, 36, 491, 494, 1, 219, 113, 946, 986, 952, 8, 734, 316, 972, 198, 972, 967, 695, 722, 604, 671, 844, 329, 101, 800, 410, 330, 883, 805, 782, 379, 658, 982, 884, 379, 76, 190, 863, 122, 539, 320, 195, 549, 516, 971, 99, 699, 399, 759, 762, 528, 832, 139, 238, 772, 440, 461, 788, 960, 22, 206, 132, 462, 666, 988, 261, 222, 664, 977, 500, 442, 755, 839, 3, 991, 55, 177, 185, 809, 935, 693, 459, 872, 247, 7, 214, 579, 531, 102, 187, 548, 306, 928, 265, 924, 49, 504, 253, 202, 276, 226, 361, 533, 962, 774, 988, 201, 628, 130, 870, 679, 585, 706, 828, 279, 220, 587, 158, 881, 682, 127, 163, 696, 30, 951, 455, 257, 703, 549, 436, 136, 181, 145, 792, 948, 797, 559, 933, 301, 34, 110, 68, 213, 983, 337, 965, 470, 364, 589, 589, 54, 152, 14, 409, 486, 890, 534, 668, 507, 750, 775, 817, 926, 676, 693, 102, 941, 341, 891, 542, 433, 170, 193, 620, 984, 388, 98, 585, 455, 918},
{138, 631, 941, 950, 5, 142, 874, 198, 559, 854, 819, 144, 460, 26, 265, 107, 237, 662, 320, 546, 40, 445, 771, 871, 217, 218, 410, 916, 98, 839, 845, 398, 60, 739, 344, 892, 40, 724, 320, 329, 123, 484, 235, 538, 759, 751, 579, 133, 444, 256, 554, 913, 408, 458, 786, 988, 997, 555, 164, 38, 910, 385, 434, 490, 406, 674, 743, 896, 935, 547, 680, 442, 377, 330, 729, 400, 201, 445, 235, 255, 444, 673, 136, 420, 339, 84, 755, 723, 794, 746, 850, 308, 704, 699, 21, 199, 236, 720, 288, 539, 827, 164, 344, 429, 617, 507, 514, 375, 431, 256, 982, 579, 232, 564, 181, 692, 181, 266, 524, 211, 25, 978, 918, 366, 605, 649, 485, 240, 642, 166, 26, 856, 851, 663, 619, 127, 627, 759, 571, 901, 213, 222, 664, 841, 317, 536, 284, 437, 589, 399, 525, 355, 234, 433, 837, 165, 324, 309, 116, 686, 28, 22, 381, 395, 78, 305, 374, 773, 266, 992, 456, 74, 674, 719, 158, 676, 630, 499, 634, 116, 94, 577, 33, 904, 307, 439, 507, 466, 29, 26, 181, 865, 637, 1, 888, 513, 693, 397, 922, 717, 310, 62, 336, 755, 803, 147, 578, 140, 673, 270, 359, 872, 902, 104, 682, 796, 936, 886, 934, 580, 465, 738, 756, 502, 334, 734, 177, 933, 443, 423, 160, 375, 546, 808, 285, 946, 196, 874, 731, 476, 927, 415, 142, 708, 964, 242, 230, 729, 336, 889, 150, 351, 329, 544, 800, 117, 627, 250, 194, 544, 308, 430, 954, 438, 111},
{346, 830, 397, 53, 433, 808, 141, 503, 354, 72, 912, 278, 223, 565, 3, 210, 695, 374, 397, 887, 518, 478, 668, 954, 696, 696, 452, 443, 648, 783, 333, 77, 595, 742, 467, 426, 955, 341, 72, 43, 707, 750, 735, 450, 501, 973, 596, 966, 844, 438, 603, 852, 775, 736, 451, 205, 313, 973, 284, 360, 379, 620, 927, 304, 71, 83, 249, 719, 872, 400, 208, 875, 890, 653, 316, 505, 257, 650, 506, 184, 585, 456, 855, 504, 795, 132, 241, 498, 656, 834, 736, 363, 122, 73, 491, 519, 919, 493, 922, 430, 850, 46, 259, 423, 969, 729, 859, 949, 152, 462, 325, 326, 533, 737, 35, 58, 984, 901, 690, 217, 74, 836, 379, 234, 951, 769, 897, 664, 203, 746, 378, 149, 988, 24, 729, 847, 753, 265, 64, 74, 334, 961, 76, 709, 580, 962, 254, 292, 492, 293, 972, 281, 425, 767, 706, 165, 154, 1, 90, 484, 434, 534, 74, 807, 259, 725, 186, 958, 148, 981, 796, 517, 693, 648, 296, 718, 60, 596, 346, 415, 285, 135, 677, 678, 61, 375, 441, 944, 99, 604, 784, 368, 367, 512, 152, 175, 199, 375, 780, 366, 749, 400, 21, 77, 366, 479, 370, 270, 153, 560, 605, 194, 458, 665, 959, 242, 38, 354, 82, 392, 377, 100, 429, 441, 31, 596, 805, 606, 852, 493, 18, 882, 698, 444, 972, 765, 490, 637, 112, 530, 554, 152, 776, 319, 803, 606, 930, 676, 601, 569, 708, 41, 176, 83, 410, 903, 11, 506, 890, 34, 964, 584, 778, 177, 773, 296},
{587, 121, 208, 540, 597, 881, 383, 208, 292, 30, 628, 488, 306, 841, 901, 546, 33, 74, 907, 859, 516, 622, 995, 556, 790, 223, 424, 98, 586, 678, 743, 501, 179, 767, 925, 102, 249, 138, 337, 533, 764, 988, 824, 226, 301, 275, 975, 196, 698, 510, 94, 332, 636, 972, 552, 703, 530, 262, 952, 621, 133, 729, 963, 332, 361, 226, 812, 248, 168, 8, 115, 560, 722, 399, 182, 943, 775, 973, 960, 797, 836, 636, 493, 139, 728, 927, 171, 837, 141, 313, 50, 333, 47, 988, 227, 386, 230, 969, 559, 678, 716, 814, 66, 273, 602, 379, 958, 49, 629, 421, 577, 231, 863, 690, 481, 45, 19, 400, 542, 330, 273, 607, 186, 702, 911, 85, 858, 445, 787, 739, 383, 878, 353, 458, 112, 376, 987, 585, 695, 560, 449, 866, 845, 461, 536, 802, 680, 571, 467, 834, 104, 821, 63, 693, 242, 439, 538, 519, 70, 585, 618, 96, 281, 383, 712, 633, 898, 710, 95, 84, 287, 679, 401, 853, 66, 261, 250, 171, 837, 893, 468, 42, 818, 271, 245, 933, 205, 696, 487, 820, 552, 529, 819, 236, 536, 287, 940, 297, 213, 924, 517, 469, 298, 621, 382, 995, 35, 203, 595, 503, 958, 968, 815, 300, 211, 248, 517, 252, 108, 516, 836, 946, 330, 252, 172, 50, 471, 11, 279, 379, 644, 395, 211, 243, 528, 682, 405, 8, 525, 884, 154, 699, 685, 932, 903, 686, 659, 476, 156, 130, 222, 533, 202, 938, 853, 843, 573, 428, 454, 312, 892, 751, 492, 392, 735, 429, 832},
{571, 258, 982, 6, 409, 554, 782, 926, 730, 191, 671, 926, 627, 875, 853, 502, 923, 10, 822, 355, 606, 709, 825, 153, 546, 957, 446, 927, 500, 744, 450, 187, 981, 386, 921, 618, 120, 773, 91, 735, 7, 905, 962, 946, 367, 949, 11, 276, 605, 17, 766, 439, 419, 983, 69, 40, 184, 995, 117, 408, 287, 719, 248, 8, 420, 48, 507, 397, 583, 687, 703, 443, 246, 5, 589, 863, 643, 570, 241, 188, 689, 79, 481, 938, 341, 695, 414, 149, 567, 450, 755, 335, 222, 966, 656, 714, 276, 703, 141, 745, 814, 872, 132, 37, 156, 380, 249, 315, 240, 465, 229, 391, 178, 173, 872, 10, 467, 462, 860, 77, 928, 526, 661, 965, 845, 851, 22, 554, 152, 664, 212, 159, 763, 657, 252, 786, 307, 319, 893, 969, 560, 759, 950, 989, 915, 668, 947, 481, 35, 900, 707, 241, 651, 269, 651, 576, 188, 287, 78, 662, 436, 986, 629, 198, 46, 427, 488, 132, 22, 209, 576, 313, 677, 92, 176, 731, 791, 845, 963, 450, 780, 550, 362, 382, 778, 898, 532, 871, 440, 478, 65, 384, 129, 618, 604, 713, 922, 173, 249, 806, 508, 498, 533, 681, 627, 976, 211, 950, 187, 666, 838, 138, 549, 53, 403, 323, 782, 396, 811, 644, 866, 905, 103, 839, 916, 791, 670, 317, 532, 292, 608, 219, 253, 905, 535, 554, 950, 422, 894, 758, 674, 798, 795, 980, 144, 577, 889, 966, 573, 329, 666, 689, 983, 567, 814, 743, 499, 674, 969, 109, 373, 644, 248, 85, 655, 872, 468, 82},
{489, 790, 849, 488, 972, 880, 274, 982, 441, 497, 916, 557, 760, 940, 155, 962, 969, 468, 196, 471, 162, 259, 775, 648, 35, 850, 633, 302, 915, 277, 183, 879, 427, 913, 977, 386, 143, 46, 79, 316, 739, 318, 430, 185, 169, 482, 689, 994, 338, 361, 739, 373, 604, 510, 275, 178, 179, 842, 451, 88, 173, 387, 579, 58, 587, 458, 205, 552, 39, 692, 783, 163, 369, 852, 282, 534, 600, 792, 745, 549, 857, 729, 806, 349, 11, 765, 591, 99, 769, 669, 298, 352, 893, 73, 949, 510, 975, 539, 482, 136, 9, 503, 384, 821, 549, 647, 542, 897, 844, 137, 830, 535, 717, 35, 246, 659, 380, 370, 71, 691, 557, 548, 609, 328, 507, 262, 570, 452, 570, 585, 27, 777, 845, 715, 205, 50, 495, 663, 59, 424, 943, 282, 698, 169, 949, 201, 272, 994, 100, 584, 803, 92, 807, 163, 844, 458, 298, 647, 542, 203, 374, 450, 827, 299, 987, 644, 50, 668, 769, 197, 265, 625, 705, 837, 819, 383, 97, 354, 582, 794, 769, 720, 404, 515, 285, 218, 927, 515, 536, 647, 879, 226, 698, 779, 385, 645, 964, 450, 602, 404, 894, 61, 241, 135, 465, 831, 89, 490, 130, 812, 729, 810, 278, 542, 44, 726, 484, 241, 922, 988, 873, 612, 854, 410, 715, 625, 710, 83, 105, 160, 86, 992, 207, 9, 24, 704, 95, 550, 799, 93, 617, 327, 745, 929, 126, 908, 722, 767, 109, 632, 975, 712, 974, 281, 582, 609, 249, 308, 574, 635, 477, 939, 162, 524, 962, 416, 163, 469, 274},
{615, 854, 244, 148, 567, 15, 238, 4, 670, 799, 928, 806, 968, 497, 744, 406, 494, 869, 429, 814, 532, 2, 777, 99, 613, 84, 46, 694, 199, 534, 444, 994, 321, 233, 857, 993, 863, 390, 336, 617, 817, 775, 973, 147, 554, 593, 497, 777, 145, 298, 261, 921, 751, 23, 382, 381, 430, 103, 406, 817, 998, 400, 283, 328, 214, 706, 374, 33, 196, 573, 912, 758, 867, 315, 613, 856, 224, 755, 117, 124, 391, 570, 569, 611, 781, 662, 905, 830, 94, 120, 357, 489, 604, 714, 282, 435, 930, 804, 666, 916, 432, 731, 556, 636, 521, 528, 226, 298, 390, 792, 114, 549, 116, 97, 424, 251, 664, 196, 834, 1, 23, 585, 899, 710, 631, 685, 635, 830, 273, 30, 202, 492, 817, 368, 824, 447, 550, 499, 836, 200, 350, 14, 242, 109, 630, 840, 295, 580, 783, 641, 378, 689, 877, 660, 886, 685, 446, 584, 939, 897, 551, 328, 456, 465, 714, 452, 562, 204, 944, 63, 335, 644, 837, 667, 630, 950, 632, 405, 81, 5, 227, 506, 409, 391, 329, 612, 865, 428, 346, 804, 949, 645, 157, 796, 573, 325, 590, 780, 468, 809, 312, 834, 952, 291, 817, 622, 159, 701, 418, 376, 395, 137, 403, 786, 656, 997, 79, 473, 182, 617, 981, 175, 581, 726, 403, 656, 275, 508, 260, 609, 911, 379, 516, 487, 987, 863, 548, 302, 95, 103, 338, 912, 109, 593, 904, 214, 147, 744, 131, 939, 327, 703, 41, 511, 170, 697, 603, 464, 24, 822, 372, 520, 3, 820, 579, 281, 772, 879, 873, 871},
{965, 904, 504, 587, 129, 40, 620, 750, 901, 417, 311, 528, 534, 265, 165, 435, 969, 530, 409, 582, 432, 112, 149, 543, 905, 658, 824, 839, 904, 630, 782, 671, 693, 994, 749, 478, 439, 479, 103, 338, 871, 795, 37, 979, 631, 616, 136, 426, 913, 379, 387, 889, 926, 177, 374, 531, 408, 104, 269, 182, 716, 415, 204, 899, 972, 793, 834, 508, 387, 802, 181, 894, 136, 357, 340, 907, 137, 661, 298, 138, 618, 589, 854, 750, 656, 945, 638, 777, 741, 388, 276, 995, 997, 23, 65, 551, 902, 888, 906, 37, 214, 577, 823, 561, 341, 228, 135, 707, 606, 5, 232, 950, 633, 960, 965, 229, 655, 889, 819, 895, 641, 332, 442, 170, 971, 458, 586, 598, 864, 920, 206, 701, 847, 96, 256, 199, 396, 380, 739, 707, 236, 301, 689, 785, 951, 263, 40, 558, 253, 692, 829, 931, 672, 171, 749, 573, 520, 931, 839, 425, 651, 726, 27, 504, 935, 666, 321, 135, 410, 84, 649, 571, 709, 867, 761, 165, 765, 993, 146, 849, 737, 172, 597, 743, 789, 634, 959, 78, 652, 81, 545, 517, 849, 719, 923, 162, 132, 156, 98, 163, 891, 606, 551, 950, 294, 540, 312, 517, 463, 395, 936, 66, 261, 446, 314, 621, 162, 267, 257, 841, 231, 463, 128, 389, 469, 536, 168, 685, 632, 790, 759, 787, 182, 164, 601, 393, 193, 775, 650, 740, 893, 715, 731, 231, 9, 356, 918, 158, 232, 6, 145, 836, 948, 276, 15, 773, 822, 915, 459, 229, 961, 190, 694, 719, 158, 121, 937, 488, 141, 11, 459},
{12, 864, 721, 848, 900, 605, 128, 837, 371, 41, 5, 592, 626, 545, 348, 187, 55, 652, 840, 879, 178, 8, 669, 866, 627, 166, 440, 459, 277, 255, 270, 969, 844, 900, 459, 187, 874, 775, 300, 975, 79, 790, 709, 430, 391, 289, 363, 985, 954, 515, 926, 104, 489, 312, 780, 430, 132, 218, 381, 839, 904, 131, 20, 395, 400, 249, 273, 62, 164, 257, 885, 952, 515, 663, 184, 993, 212, 692, 346, 160, 463, 411, 59, 858, 281, 599, 105, 594, 54, 433, 456, 800, 519, 196, 277, 596, 45, 129, 59, 287, 208, 962, 794, 595, 211, 889, 684, 21, 597, 493, 394, 169, 28, 658, 276, 627, 679, 571, 297, 736, 909, 730, 622, 631, 430, 302, 961, 20, 165, 244, 785, 505, 337, 389, 502, 674, 108, 63, 486, 796, 257, 872, 654, 736, 984, 31, 915, 610, 900, 934, 382, 769, 659, 773, 738, 961, 507, 578, 507, 865, 219, 530, 253, 776, 492, 277, 967, 896, 932, 710, 954, 549, 135, 931, 560, 649, 245, 132, 992, 931, 599, 695, 296, 751, 705, 156, 263, 778, 839, 528, 717, 519, 52, 167, 106, 405, 189, 528, 802, 140, 824, 108, 875, 93, 688, 413, 310, 810, 227, 28, 846, 100, 456, 688, 680, 754, 138, 852, 201, 700, 632, 378, 867, 228, 455, 827, 95, 28, 730, 360, 691, 945, 199, 348, 29, 728, 412, 677, 598, 541, 46, 125, 21, 710, 16, 367, 930, 974, 231, 903, 311, 494, 365, 676, 68, 25, 973, 186, 592, 941, 678, 719, 58, 259, 874, 659, 12, 384, 619, 923, 598, 132},
{942, 304, 406, 411, 783, 837, 480, 102, 191, 366, 549, 849, 192, 143, 863, 908, 966, 670, 355, 693, 567, 944, 988, 414, 445, 969, 314, 14, 469, 664, 195, 644, 970, 293, 625, 103, 563, 146, 356, 925, 154, 495, 772, 394, 596, 766, 96, 267, 915, 469, 531, 905, 867, 674, 395, 378, 901, 727, 647, 239, 247, 452, 462, 964, 932, 305, 671, 402, 49, 815, 964, 210, 432, 197, 688, 971, 297, 153, 7, 558, 988, 787, 929, 365, 204, 11, 440, 234, 502, 966, 516, 252, 888, 847, 397, 103, 562, 910, 797, 349, 660, 631, 138, 797, 11, 715, 55, 154, 394, 123, 593, 234, 844, 347, 532, 353, 819, 930, 200, 928, 894, 625, 44, 950, 763, 646, 901, 746, 957, 175, 650, 361, 644, 674, 429, 980, 295, 573, 131, 18, 779, 567, 221, 915, 693, 148, 249, 230, 296, 943, 589, 254, 492, 114, 49, 344, 698, 351, 13, 59, 270, 30, 661, 448, 407, 614, 654, 113, 109, 770, 375, 162, 788, 534, 469, 825, 610, 466, 941, 264, 511, 9, 524, 90, 90, 129, 370, 190, 260, 899, 386, 737, 636, 912, 685, 664, 106, 236, 687, 474, 940, 221, 399, 981, 99, 589, 249, 458, 90, 115, 678, 722, 865, 689, 348, 894, 742, 724, 440, 897, 280, 632, 24, 309, 363, 637, 882, 816, 495, 236, 505, 384, 438, 447, 165, 184, 889, 406, 152, 512, 858, 943, 248, 197, 736, 569, 493, 441, 880, 628, 113, 666, 634, 518, 258, 684, 360, 529, 862, 428, 11, 250, 478, 567, 160, 523, 436, 560, 244, 619, 59, 62, 932},
{600, 926, 189, 205, 909, 406, 807, 688, 807, 737, 886, 273, 632, 983, 961, 829, 806, 69, 938, 115, 143, 917, 766, 569, 265, 478, 9, 796, 920, 998, 988, 930, 528, 485, 944, 14, 564, 711, 618, 721, 289, 482, 779, 495, 871, 139, 473, 194, 205, 417, 171, 885, 547, 868, 606, 284, 675, 8, 802, 644, 409, 250, 654, 629, 226, 456, 535, 785, 139, 633, 529, 781, 223, 913, 301, 483, 935, 434, 94, 287, 860, 183, 29, 857, 645, 153, 712, 568, 633, 395, 112, 495, 191, 702, 831, 774, 750, 642, 192, 490, 400, 666, 971, 35, 205, 816, 279, 72, 547, 337, 784, 783, 441, 140, 465, 115, 204, 663, 68, 87, 839, 112, 772, 74, 223, 459, 875, 144, 474, 882, 888, 159, 940, 489, 138, 391, 839, 275, 812, 787, 925, 302, 404, 887, 523, 944, 682, 628, 867, 909, 632, 896, 9, 431, 309, 773, 418, 694, 156, 849, 85, 65, 173, 850, 87, 138, 223, 118, 557, 990, 916, 117, 512, 252, 751, 264, 222, 780, 595, 848, 687, 810, 208, 695, 307, 381, 202, 559, 988, 764, 730, 904, 847, 387, 252, 867, 64, 425, 910, 717, 687, 865, 421, 42, 940, 310, 874, 225, 74, 238, 536, 545, 912, 736, 549, 320, 50, 940, 413, 123, 48, 555, 271, 30, 102, 868, 323, 222, 402, 605, 117, 48, 768, 820, 109, 813, 266, 780, 615, 163, 166, 457, 215, 901, 22, 807, 729, 492, 644, 494, 149, 284, 456, 97, 245, 712, 25, 117, 159, 351, 600, 297, 976, 693, 119, 874, 119, 983, 430, 382, 419, 237, 511, 516},
{923, 849, 12, 431, 753, 815, 777, 526, 889, 644, 923, 416, 336, 515, 626, 338, 938, 82, 40, 649, 83, 589, 657, 469, 586, 682, 995, 727, 381, 307, 685, 64, 999, 667, 935, 105, 425, 24, 860, 577, 651, 493, 355, 643, 125, 641, 15, 597, 333, 848, 139, 763, 977, 891, 962, 43, 541, 144, 111, 53, 549, 118, 702, 212, 528, 812, 683, 451, 459, 476, 723, 440, 514, 956, 449, 369, 16, 735, 892, 337, 833, 159, 771, 361, 888, 100, 599, 856, 53, 488, 736, 205, 476, 732, 143, 672, 307, 20, 26, 517, 845, 906, 555, 613, 386, 405, 548, 252, 411, 951, 317, 134, 341, 309, 921, 700, 722, 430, 679, 68, 626, 748, 122, 867, 21, 220, 541, 140, 46, 637, 890, 318, 464, 418, 96, 996, 28, 102, 737, 870, 141, 255, 702, 715, 993, 349, 600, 748, 297, 436, 681, 59, 845, 147, 524, 44, 402, 585, 5, 939, 831, 221, 909, 627, 947, 732, 79, 846, 321, 112, 191, 838, 135, 989, 74, 221, 252, 297, 2, 599, 840, 880, 518, 11, 271, 625, 184, 791, 498, 960, 106, 904, 832, 371, 195, 25, 799, 685, 926, 973, 791, 451, 771, 151, 357, 682, 577, 713, 233, 610, 918, 142, 721, 859, 854, 723, 583, 626, 551, 199, 397, 32, 999, 518, 260, 827, 382, 190, 753, 974, 688, 191, 377, 490, 882, 796, 974, 101, 228, 944, 291, 895, 400, 980, 444, 173, 673, 701, 982, 114, 753, 619, 205, 730, 814, 304, 569, 807, 911, 442, 393, 158, 235, 20, 448, 611, 561, 614, 789, 571, 919, 366, 852, 878, 663},
{602, 883, 946, 96, 468, 830, 859, 326, 154, 88, 163, 273, 457, 927, 597, 570, 540, 9, 896, 701, 633, 81, 105, 830, 399, 912, 529, 678, 393, 496, 616, 258, 795, 778, 503, 442, 149, 544, 965, 180, 377, 582, 797, 579, 740, 913, 393, 272, 723, 719, 457, 178, 63, 572, 330, 296, 255, 692, 334, 168, 915, 292, 967, 472, 321, 467, 487, 559, 291, 747, 647, 827, 326, 144, 900, 545, 612, 477, 392, 95, 4, 834, 455, 655, 643, 219, 114, 996, 206, 891, 328, 440, 62, 377, 304, 997, 831, 880, 236, 378, 941, 660, 257, 859, 728, 946, 216, 968, 623, 154, 135, 571, 712, 463, 853, 212, 714, 330, 406, 502, 53, 110, 143, 948, 211, 791, 478, 839, 37, 777, 399, 737, 973, 750, 565, 661, 480, 939, 904, 267, 49, 512, 91, 220, 293, 386, 209, 462, 574, 500, 180, 262, 473, 467, 264, 794, 257, 565, 42, 476, 125, 237, 815, 449, 657, 621, 290, 394, 383, 144, 727, 354, 776, 871, 506, 333, 348, 166, 170, 245, 674, 133, 589, 204, 386, 527, 836, 238, 119, 44, 705, 274, 431, 395, 629, 614, 491, 166, 870, 215, 124, 208, 479, 774, 449, 254, 488, 13, 925, 511, 222, 566, 76, 207, 370, 579, 553, 472, 725, 449, 505, 478, 60, 143, 358, 438, 669, 192, 270, 956, 502, 748, 504, 206, 673, 76, 845, 594, 352, 458, 73, 892, 688, 793, 142, 299, 493, 71, 437, 533, 826, 515, 927, 851, 540, 453, 541, 834, 63, 818, 417, 889, 407, 815, 922, 694, 478, 447, 522, 198, 207, 499, 620, 403, 973, 97},
{496, 852, 67, 129, 308, 664, 625, 694, 958, 969, 641, 194, 272, 833, 114, 871, 553, 88, 370, 403, 109, 8, 897, 593, 700, 449, 797, 386, 236, 877, 61, 141, 216, 701, 494, 581, 597, 471, 7, 920, 753, 785, 382, 383, 165, 197, 424, 788, 327, 39, 510, 887, 102, 816, 212, 865, 405, 770, 598, 821, 710, 255, 262, 28, 289, 837, 872, 475, 509, 387, 312, 558, 800, 988, 25, 729, 73, 192, 264, 635, 488, 992, 317, 511, 481, 922, 654, 643, 847, 825, 150, 250, 504, 191, 210, 491, 306, 432, 647, 178, 872, 99, 654, 408, 946, 835, 40, 548, 264, 829, 193, 920, 210, 609, 919, 105, 853, 318, 352, 961, 70, 982, 654, 392, 543, 922, 111, 334, 420, 107, 516, 725, 249, 226, 472, 962, 651, 235, 317, 912, 833, 353, 934, 667, 669, 852, 620, 59, 575, 479, 510, 395, 828, 24, 811, 31, 262, 386, 237, 126, 537, 454, 582, 419, 290, 243, 342, 907, 502, 75, 639, 74, 377, 979, 498, 727, 868, 136, 675, 550, 743, 925, 842, 183, 733, 94, 911, 51, 894, 576, 676, 144, 773, 805, 757, 680, 343, 661, 37, 880, 976, 813, 392, 119, 904, 887, 550, 349, 711, 717, 316, 15, 420, 18, 259, 610, 634, 917, 178, 717, 24, 164, 329, 563, 154, 257, 416, 142, 307, 453, 836, 474, 457, 308, 532, 879, 17, 454, 36, 996, 330, 344, 34, 870, 118, 8, 798, 641, 261, 255, 355, 221, 369, 357, 154, 900, 559, 934, 297, 998, 739, 729, 89, 491, 491, 896, 802, 99, 316, 749, 51, 414, 656, 152, 105, 493, 529},
{345, 817, 794, 107, 608, 551, 457, 835, 20, 665, 709, 929, 518, 658, 610, 214, 664, 15, 450, 305, 734, 200, 836, 84, 272, 966, 944, 251, 807, 369, 435, 508, 225, 419, 275, 571, 180, 327, 67, 805, 33, 682, 515, 715, 9, 679, 345, 923, 675, 771, 339, 566, 373, 686, 134, 190, 937, 797, 100, 377, 902, 260, 904, 303, 393, 141, 355, 344, 81, 42, 719, 683, 909, 322, 17, 572, 752, 116, 680, 541, 846, 760, 619, 398, 597, 160, 922, 269, 322, 827, 374, 323, 604, 80, 486, 36, 193, 888, 2, 45, 789, 435, 650, 689, 657, 252, 522, 319, 708, 201, 552, 324, 610, 189, 484, 638, 507, 667, 188, 138, 147, 478, 312, 983, 546, 530, 116, 438, 872, 123, 758, 111, 858, 476, 446, 901, 898, 180, 644, 129, 972, 800, 950, 468, 666, 876, 361, 355, 848, 871, 379, 462, 20, 434, 828, 679, 974, 493, 303, 825, 134, 289, 874, 931, 874, 452, 83, 553, 225, 609, 240, 989, 542, 814, 772, 718, 168, 317, 666, 610, 597, 766, 68, 677, 426, 15, 773, 235, 148, 53, 605, 334, 933, 505, 685, 242, 662, 306, 209, 574, 820, 829, 606, 393, 344, 833, 918, 224, 139, 987, 810, 467, 794, 644, 865, 155, 963, 792, 750, 302, 975, 777, 351, 401, 535, 498, 242, 753, 748, 230, 685, 385, 323, 166, 920, 296, 499, 39, 639, 642, 160, 908, 453, 261, 628, 309, 578, 628, 835, 469, 185, 936, 919, 250, 616, 496, 813, 783, 189, 48, 65, 507, 369, 943, 936, 477, 933, 312, 843, 356, 140, 499, 286, 452, 11, 103, 763, 544},
{621, 850, 589, 996, 638, 425, 137, 842, 443, 101, 804, 103, 898, 711, 907, 600, 147, 36, 796, 901, 912, 165, 704, 860, 420, 792, 233, 400, 404, 651, 929, 826, 678, 526, 103, 948, 378, 356, 875, 745, 319, 943, 504, 111, 847, 723, 147, 494, 228, 819, 585, 854, 830, 390, 911, 429, 381, 849, 793, 259, 72, 116, 752, 295, 614, 468, 828, 144, 198, 946, 120, 247, 893, 479, 926, 302, 247, 95, 682, 284, 673, 622, 395, 274, 812, 283, 78, 643, 170, 435, 525, 815, 220, 529, 833, 963, 636, 26, 278, 515, 476, 619, 485, 262, 959, 618, 399, 207, 923, 753, 154, 20, 188, 979, 843, 119, 826, 99, 112, 943, 779, 104, 666, 945, 328, 251, 90, 191, 702, 749, 764, 236, 504, 827, 368, 108, 673, 713, 119, 813, 449, 683, 898, 794, 151, 936, 436, 119, 624, 504, 990, 33, 896, 810, 322, 675, 904, 738, 328, 389, 187, 308, 390, 88, 46, 127, 334, 534, 26, 786, 952, 264, 520, 316, 155, 86, 907, 581, 183, 766, 937, 279, 783, 528, 997, 765, 883, 492, 491, 550, 87, 998, 788, 663, 286, 86, 156, 504, 770, 2, 569, 11, 490, 779, 587, 159, 529, 347, 300, 850, 458, 565, 914, 260, 917, 865, 705, 540, 711, 900, 916, 620, 713, 697, 691, 484, 103, 350, 254, 951, 777, 210, 392, 446, 340, 851, 734, 692, 694, 848, 456, 564, 122, 531, 818, 550, 702, 452, 378, 425, 57, 237, 805, 759, 699, 867, 975, 817, 748, 226, 431, 292, 315, 876, 339, 15, 692, 674, 813, 504, 354, 764, 828, 724, 876, 933, 966, 960, 99},
{71, 965, 35, 242, 722, 329, 425, 261, 314, 284, 6, 375, 657, 28, 252, 598, 761, 485, 737, 108, 825, 817, 673, 449, 521, 473, 58, 887, 297, 922, 716, 736, 532, 103, 164, 85, 778, 211, 731, 178, 230, 725, 856, 624, 810, 442, 790, 741, 951, 864, 211, 580, 209, 515, 415, 614, 381, 592, 809, 642, 646, 939, 403, 190, 580, 460, 896, 578, 583, 983, 714, 867, 408, 41, 66, 111, 943, 206, 671, 659, 385, 436, 343, 832, 231, 328, 962, 887, 286, 319, 787, 68, 3, 653, 171, 496, 41, 344, 958, 812, 882, 491, 839, 727, 713, 12, 876, 164, 528, 294, 292, 203, 629, 313, 332, 869, 240, 462, 706, 668, 949, 751, 656, 893, 133, 24, 180, 925, 232, 544, 328, 157, 49, 647, 769, 711, 792, 124, 11, 817, 624, 699, 752, 565, 913, 236, 897, 778, 209, 289, 583, 924, 196, 239, 481, 269, 545, 526, 304, 999, 610, 430, 89, 682, 389, 436, 376, 165, 43, 477, 825, 50, 500, 242, 187, 918, 400, 291, 766, 785, 672, 969, 713, 651, 551, 920, 522, 619, 736, 596, 80, 767, 678, 303, 538, 842, 709, 171, 997, 909, 830, 947, 742, 267, 506, 643, 335, 315, 720, 893, 395, 551, 905, 344, 288, 577, 84, 511, 276, 771, 689, 321, 907, 321, 139, 990, 544, 396, 118, 994, 961, 572, 950, 594, 910, 53, 194, 841, 369, 830, 745, 999, 962, 728, 368, 51, 705, 126, 496, 334, 773, 308, 619, 379, 500, 568, 294, 702, 150, 586, 89, 640, 337, 173, 347, 327, 128, 145, 691, 557, 968, 959, 623, 591, 592, 756, 377, 915, 960, 619},
{465, 609, 122, 189, 971, 238, 584, 253, 701, 121, 430, 567, 772, 432, 953, 954, 77, 812, 8, 688, 325, 113, 643, 262, 49, 392, 837, 922, 52, 574, 284, 741, 234, 992, 298, 608, 669, 592, 849, 223, 76, 754, 601, 79, 550, 539, 662, 465, 528, 639, 401, 711, 487, 499, 315, 258, 796, 843, 415, 654, 493, 358, 25, 241, 450, 357, 193, 119, 608, 58, 150, 956, 447, 534, 374, 377, 850, 485, 848, 894, 883, 725, 63, 873, 763, 692, 132, 572, 498, 329, 181, 77, 218, 420, 794, 893, 258, 830, 904, 983, 407, 114, 953, 326, 557, 663, 559, 408, 203, 898, 194, 654, 834, 979, 572, 453, 305, 222, 555, 331, 670, 647, 367, 814, 846, 117, 850, 704, 642, 82, 287, 803, 401, 294, 43, 623, 516, 718, 928, 235, 550, 520, 690, 212, 553, 216, 502, 584, 444, 987, 678, 810, 993, 735, 61, 41, 34, 636, 733, 373, 13, 859, 734, 370, 891, 631, 464, 829, 706, 990, 318, 716, 806, 458, 901, 173, 901, 312, 836, 746, 575, 329, 800, 324, 840, 644, 935, 778, 658, 880, 159, 997, 52, 774, 237, 786, 642, 350, 728, 131, 936, 94, 984, 430, 670, 689, 477, 616, 900, 621, 638, 507, 268, 338, 256, 376, 55, 759, 234, 456, 251, 594, 150, 31, 798, 337, 664, 828, 627, 804, 262, 695, 840, 804, 213, 854, 679, 819, 913, 674, 447, 633, 971, 507, 647, 432, 488, 55, 976, 275, 995, 707, 683, 743, 428, 492, 996, 243, 316, 564, 24, 676, 107, 692, 536, 167, 172, 790, 524, 85, 567, 367, 277, 885, 71, 701, 10, 168, 374, 674, 725},
{921, 545, 421, 105, 147, 53, 424, 679, 912, 713, 209, 467, 415, 867, 558, 525, 839, 21, 42, 603, 606, 918, 685, 181, 125, 755, 849, 698, 309, 799, 675, 724, 933, 217, 45, 120, 356, 304, 599, 13, 271, 643, 247, 539, 927, 917, 523, 847, 691, 266, 338, 839, 896, 83, 924, 474, 716, 103, 251, 225, 144, 484, 768, 480, 278, 340, 138, 228, 783, 822, 482, 388, 789, 451, 795, 523, 526, 842, 375, 485, 654, 369, 516, 732, 615, 575, 267, 706, 308, 363, 741, 640, 54, 58, 329, 613, 126, 471, 170, 508, 84, 999, 429, 758, 770, 588, 214, 394, 116, 146, 488, 13, 817, 597, 943, 670, 569, 320, 612, 634, 738, 135, 923, 158, 329, 384, 42, 132, 574, 870, 576, 552, 784, 611, 157, 233, 881, 403, 973, 71, 639, 198, 85, 507, 782, 140, 197, 494, 973, 917, 666, 431, 203, 777, 662, 25, 239, 138, 800, 963, 625, 239, 55, 647, 163, 706, 441, 917, 943, 183, 767, 910, 769, 432, 762, 692, 255, 454, 986, 299, 954, 153, 268, 156, 657, 84, 822, 643, 344, 627, 848, 734, 401, 696, 125, 215, 381, 749, 81, 5, 965, 453, 879, 455, 850, 801, 263, 350, 896, 879, 338, 502, 301, 760, 976, 469, 485, 196, 258, 947, 70, 872, 179, 793, 628, 14, 920, 492, 858, 999, 104, 113, 433, 519, 792, 431, 89, 474, 489, 968, 423, 491, 10, 145, 474, 439, 902, 597, 407, 777, 51, 18, 518, 926, 175, 494, 351, 95, 249, 467, 908, 156, 224, 880, 840, 258, 58, 994, 2, 783, 780, 648, 954, 204, 182, 457, 858, 109, 792, 550, 639, 432},
{998, 959, 539, 457, 510, 721, 911, 708, 891, 64, 615, 242, 551, 805, 482, 163, 408, 230, 102, 433, 430, 254, 613, 134, 373, 667, 270, 429, 357, 585, 310, 369, 358, 22, 48, 563, 291, 671, 173, 468, 150, 577, 964, 742, 547, 335, 483, 643, 121, 894, 844, 940, 458, 818, 367, 201, 622, 57, 707, 558, 862, 924, 117, 328, 830, 969, 588, 857, 455, 877, 989, 64, 656, 357, 223, 992, 238, 206, 90, 557, 630, 416, 820, 344, 627, 196, 139, 986, 912, 276, 362, 169, 956, 719, 237, 741, 803, 707, 154, 789, 411, 491, 933, 746, 416, 741, 566, 817, 664, 39, 203, 18, 399, 144, 193, 147, 720, 964, 145, 840, 852, 899, 868, 707, 752, 269, 491, 158, 838, 150, 255, 217, 942, 806, 266, 54, 119, 243, 961, 414, 597, 177, 167, 428, 23, 838, 396, 519, 56, 584, 498, 238, 597, 237, 808, 909, 167, 481, 754, 910, 411, 345, 235, 237, 347, 43, 166, 797, 681, 983, 300, 495, 491, 773, 801, 778, 602, 428, 76, 752, 258, 790, 58, 382, 29, 392, 472, 560, 495, 593, 616, 33, 898, 846, 838, 258, 831, 373, 196, 290, 58, 377, 768, 674, 694, 141, 691, 191, 355, 996, 280, 954, 281, 257, 525, 67, 182, 573, 855, 510, 253, 137, 291, 433, 822, 331, 28, 325, 164, 196, 33, 828, 283, 68, 486, 103, 906, 331, 723, 711, 476, 36, 901, 1, 677, 494, 793, 777, 920, 654, 920, 934, 250, 150, 781, 309, 334, 480, 50, 695, 561, 671, 437, 428, 781, 109, 385, 358, 885, 986, 867, 357, 259, 940, 373, 735, 118, 7, 547, 50, 866, 979, 98},
{847, 932, 646, 287, 816, 956, 91, 757, 662, 840, 495, 479, 798, 915, 402, 332, 582, 407, 424, 219, 405, 454, 758, 606, 422, 162, 688, 111, 77, 572, 428, 41, 865, 958, 332, 866, 991, 573, 457, 172, 634, 810, 929, 11, 579, 786, 380, 519, 868, 472, 976, 279, 940, 885, 184, 188, 444, 281, 486, 544, 564, 951, 720, 633, 218, 36, 568, 350, 918, 665, 986, 302, 456, 920, 77, 390, 818, 288, 942, 86, 901, 764, 588, 495, 651, 317, 805, 815, 252, 126, 294, 995, 837, 954, 980, 242, 15, 999, 590, 500, 146, 803, 75, 213, 985, 154, 415, 453, 708, 408, 639, 2, 838, 359, 650, 47, 865, 560, 604, 999, 566, 48, 115, 299, 199, 495, 543, 222, 749, 155, 967, 418, 359, 388, 224, 340, 917, 173, 569, 743, 561, 780, 105, 195, 456, 680, 95, 876, 853, 846, 701, 996, 826, 869, 456, 821, 531, 625, 14, 671, 75, 848, 329, 214, 298, 632, 423, 63, 863, 716, 344, 976, 46, 485, 743, 936, 531, 708, 733, 983, 367, 437, 353, 8, 894, 907, 986, 561, 158, 965, 578, 437, 802, 310, 318, 908, 924, 809, 758, 513, 670, 245, 999, 771, 666, 101, 663, 463, 481, 441, 850, 956, 435, 487, 200, 617, 998, 240, 442, 500, 946, 380, 566, 370, 177, 729, 819, 601, 843, 736, 297, 651, 999, 833, 783, 621, 493, 8, 863, 863, 251, 598, 42, 755, 405, 161, 761, 488, 939, 226, 773, 197, 666, 902, 252, 827, 379, 595, 414, 877, 972, 515, 200, 579, 152, 320, 703, 115, 147, 938, 665, 205, 451, 580, 307, 756, 242, 995, 185, 302, 537, 280, 555, 641},
{596, 914, 923, 430, 296, 274, 104, 471, 456, 523, 100, 105, 143, 700, 560, 414, 27, 778, 396, 912, 746, 677, 388, 30, 65, 517, 244, 952, 331, 891, 634, 348, 377, 571, 185, 68, 529, 844, 271, 177, 839, 650, 720, 568, 25, 774, 224, 975, 795, 622, 329, 402, 491, 527, 365, 881, 949, 102, 581, 986, 534, 892, 37, 708, 125, 478, 522, 151, 657, 179, 900, 7, 488, 788, 749, 899, 468, 38, 166, 525, 107, 69, 862, 958, 619, 822, 490, 638, 964, 92, 209, 301, 227, 981, 118, 587, 779, 617, 107, 119, 753, 279, 38, 607, 250, 571, 960, 941, 579, 832, 229, 279, 591, 778, 957, 862, 779, 268, 285, 679, 472, 161, 255, 78, 814, 492, 970, 173, 716, 527, 858, 194, 142, 857, 511, 917, 381, 365, 586, 18, 983, 738, 664, 422, 82, 273, 820, 777, 727, 791, 875, 729, 664, 927, 960, 981, 720, 413, 74, 76, 600, 724, 755, 383, 416, 171, 896, 81, 714, 504, 936, 746, 143, 223, 405, 825, 104, 984, 839, 373, 958, 999, 587, 390, 365, 815, 925, 602, 340, 660, 196, 674, 495, 386, 391, 739, 695, 102, 728, 602, 74, 786, 275, 109, 935, 531, 597, 28, 597, 564, 767, 206, 597, 886, 785, 927, 68, 177, 608, 146, 241, 598, 553, 718, 215, 272, 786, 860, 144, 493, 973, 767, 945, 204, 941, 769, 482, 836, 374, 450, 903, 426, 158, 855, 535, 789, 964, 309, 234, 646, 69, 374, 614, 806, 207, 173, 937, 901, 448, 646, 729, 732, 739, 298, 401, 940, 718, 640, 217, 632, 890, 876, 996, 554, 50, 294, 820, 601, 88, 487, 833, 763, 970, 802, 969},
{104, 719, 320, 53, 986, 679, 304, 238, 582, 245, 263, 259, 605, 459, 699, 215, 380, 594, 176, 962, 552, 897, 527, 292, 226, 182, 939, 140, 830, 824, 139, 93, 817, 61, 107, 275, 100, 138, 602, 535, 263, 33, 241, 509, 725, 955, 57, 768, 403, 759, 271, 734, 946, 763, 463, 469, 285, 175, 450, 775, 34, 485, 976, 237, 305, 754, 743, 998, 605, 644, 377, 78, 788, 440, 733, 978, 483, 64, 275, 210, 34, 264, 371, 67, 735, 746, 53, 690, 80, 987, 150, 4, 799, 900, 739, 583, 721, 287, 550, 902, 837, 247, 285, 680, 547, 308, 822, 253, 706, 73, 934, 990, 8, 617, 435, 777, 193, 668, 661, 498, 794, 875, 799, 274, 415, 108, 867, 932, 44, 759, 62, 808, 525, 526, 809, 526, 136, 951, 82, 845, 107, 330, 450, 999, 109, 237, 905, 218, 920, 8, 702, 279, 957, 19, 329, 17, 891, 481, 267, 660, 338, 790, 368, 784, 468, 156, 514, 426, 441, 375, 741, 611, 770, 110, 140, 146, 67, 978, 675, 13, 150, 87, 519, 150, 150, 361, 619, 682, 74, 228, 997, 912, 283, 668, 718, 505, 464, 713, 551, 337, 976, 737, 96, 424, 895, 738, 542, 180, 700, 917, 311, 39, 291, 502, 509, 98, 960, 705, 544, 43, 12, 135, 219, 62, 937, 757, 370, 856, 488, 737, 413, 122, 460, 69, 167, 87, 784, 964, 983, 768, 316, 369, 531, 655, 737, 813, 510, 365, 195, 49, 251, 727, 567, 567, 377, 402, 764, 150, 682, 791, 115, 41, 935, 563, 650, 234, 611, 506, 80, 581, 394, 822, 348, 176, 926, 186, 915, 476, 423, 87, 337, 179, 697, 26, 285, 715},
{655, 103, 897, 565, 471, 438, 200, 267, 559, 622, 429, 150, 887, 112, 253, 299, 378, 68, 261, 228, 936, 651, 590, 24, 100, 183, 250, 509, 444, 922, 503, 91, 656, 407, 664, 512, 603, 455, 802, 701, 827, 958, 135, 252, 661, 521, 349, 867, 528, 876, 688, 249, 69, 749, 411, 507, 466, 491, 142, 176, 680, 398, 717, 274, 354, 81, 356, 684, 846, 637, 364, 328, 145, 686, 144, 210, 473, 461, 969, 448, 993, 335, 834, 816, 375, 87, 719, 175, 907, 155, 768, 374, 518, 968, 197, 910, 281, 115, 249, 616, 968, 774, 137, 145, 782, 389, 707, 892, 640, 936, 515, 233, 301, 576, 114, 648, 177, 660, 596, 410, 894, 265, 892, 948, 528, 483, 845, 960, 969, 675, 871, 587, 85, 754, 858, 717, 132, 384, 28, 583, 428, 650, 676, 322, 414, 351, 51, 124, 34, 591, 165, 914, 862, 743, 992, 239, 519, 165, 322, 193, 650, 303, 530, 773, 260, 922, 676, 992, 207, 234, 599, 448, 453, 669, 168, 841, 62, 850, 425, 68, 972, 102, 146, 145, 347, 482, 222, 167, 582, 904, 398, 933, 186, 364, 77, 653, 350, 687, 332, 354, 405, 508, 784, 250, 350, 348, 721, 316, 294, 789, 664, 774, 959, 748, 653, 990, 357, 732, 613, 575, 370, 809, 575, 64, 272, 748, 926, 657, 109, 377, 578, 936, 507, 797, 652, 312, 676, 491, 325, 295, 308, 722, 493, 288, 621, 906, 251, 719, 9, 739, 540, 825, 640, 990, 948, 264, 873, 821, 335, 77, 532, 344, 863, 181, 934, 974, 57, 738, 81, 778, 711, 217, 512, 627, 825, 930, 220, 498, 253, 152, 404, 633, 422, 630, 34, 612, 323},
{515, 921, 626, 913, 210, 455, 325, 254, 649, 253, 710, 972, 878, 709, 430, 96, 538, 842, 722, 911, 82, 878, 973, 274, 101, 760, 563, 686, 152, 118, 183, 575, 843, 250, 329, 400, 770, 405, 44, 615, 77, 926, 231, 80, 40, 869, 130, 170, 104, 333, 548, 734, 203, 53, 544, 33, 55, 793, 90, 969, 336, 665, 98, 268, 315, 793, 923, 681, 542, 697, 69, 32, 690, 327, 338, 592, 457, 938, 186, 336, 766, 928, 289, 653, 122, 255, 664, 402, 116, 341, 817, 585, 511, 198, 437, 514, 288, 28, 180, 65, 276, 785, 922, 491, 758, 981, 663, 343, 507, 526, 958, 197, 261, 557, 348, 300, 555, 28, 761, 714, 176, 250, 287, 222, 219, 767, 8, 95, 905, 661, 842, 794, 848, 857, 432, 806, 410, 86, 188, 119, 175, 884, 526, 298, 328, 445, 178, 726, 889, 168, 217, 308, 362, 500, 108, 906, 313, 994, 637, 817, 846, 578, 85, 826, 664, 686, 343, 793, 687, 252, 1, 240, 766, 574, 600, 117, 82, 683, 346, 796, 210, 201, 600, 333, 710, 587, 352, 214, 298, 351, 716, 135, 318, 33, 206, 844, 308, 729, 168, 699, 858, 517, 314, 396, 879, 366, 699, 296, 635, 46, 868, 832, 576, 101, 147, 802, 111, 154, 188, 718, 917, 703, 995, 8, 307, 87, 580, 535, 448, 474, 299, 875, 976, 596, 724, 729, 618, 411, 567, 142, 972, 59, 783, 515, 553, 270, 493, 890, 483, 865, 767, 710, 999, 89, 627, 18, 74, 306, 862, 107, 990, 40, 361, 711, 690, 390, 724, 162, 54, 649, 839, 356, 68, 314, 970, 22, 990, 755, 656, 491, 217, 543, 367, 145, 542, 761, 462, 735},
{901, 703, 433, 57, 482, 24, 821, 803, 299, 735, 469, 987, 947, 466, 963, 28, 262, 40, 236, 427, 46, 730, 264, 13, 853, 545, 771, 858, 59, 470, 587, 330, 92, 926, 99, 198, 764, 603, 840, 386, 70, 415, 785, 698, 711, 610, 370, 873, 879, 916, 627, 347, 469, 211, 40, 434, 21, 391, 916, 21, 166, 1, 128, 436, 213, 706, 46, 923, 875, 878, 384, 7, 790, 410, 435, 70, 629, 350, 887, 725, 106, 146, 17, 834, 125, 35, 530, 605, 620, 647, 769, 846, 426, 959, 285, 268, 596, 542, 38, 732, 204, 478, 578, 455, 581, 404, 630, 493, 314, 888, 414, 271, 106, 764, 922, 524, 775, 80, 90, 798, 258, 54, 473, 549, 438, 807, 634, 983, 82, 652, 866, 993, 892, 402, 313, 937, 956, 537, 791, 560, 433, 19, 836, 42, 395, 217, 585, 30, 110, 744, 111, 510, 930, 905, 733, 556, 176, 152, 665, 299, 19, 159, 51, 974, 492, 123, 102, 505, 130, 417, 564, 893, 668, 41, 197, 653, 466, 168, 292, 586, 15, 664, 504, 515, 962, 682, 450, 958, 582, 276, 578, 352, 510, 536, 790, 106, 862, 935, 188, 728, 580, 365, 81, 233, 933, 921, 116, 293, 658, 571, 952, 949, 113, 690, 432, 163, 185, 927, 615, 225, 409, 929, 329, 814, 910, 300, 162, 503, 329, 552, 897, 627, 852, 928, 471, 763, 838, 703, 456, 463, 277, 988, 922, 538, 533, 111, 290, 935, 376, 377, 439, 156, 306, 364, 919, 263, 572, 948, 571, 737, 84, 955, 251, 845, 627, 630, 628, 705, 409, 168, 245, 964, 971, 156, 84, 832, 942, 126, 936, 246, 941, 344, 748, 96, 164, 617, 943, 785, 843},
{159, 454, 857, 839, 494, 816, 77, 21, 977, 220, 140, 49, 743, 842, 140, 351, 800, 163, 16, 825, 569, 174, 490, 852, 343, 617, 387, 703, 53, 382, 851, 317, 227, 223, 658, 732, 231, 815, 745, 153, 713, 948, 98, 757, 671, 361, 361, 862, 709, 310, 875, 10, 883, 483, 349, 826, 973, 258, 79, 317, 142, 645, 421, 321, 758, 473, 203, 476, 544, 482, 926, 949, 325, 69, 887, 592, 414, 332, 771, 908, 45, 926, 941, 445, 345, 3, 340, 765, 47, 156, 888, 162, 501, 867, 315, 675, 615, 427, 589, 765, 974, 666, 532, 208, 795, 148, 684, 392, 316, 627, 271, 220, 914, 733, 888, 234, 534, 761, 621, 437, 969, 461, 405, 496, 181, 450, 823, 679, 105, 639, 978, 927, 325, 695, 727, 901, 611, 76, 358, 735, 516, 628, 756, 480, 186, 102, 178, 906, 62, 156, 38, 412, 372, 624, 548, 272, 200, 856, 574, 366, 421, 941, 857, 829, 7, 473, 614, 743, 16, 333, 556, 159, 108, 640, 614, 195, 556, 628, 952, 951, 539, 690, 430, 248, 985, 281, 280, 977, 329, 656, 644, 996, 343, 649, 563, 26, 640, 842, 158, 994, 512, 499, 43, 623, 551, 569, 454, 814, 867, 956, 187, 592, 808, 947, 181, 922, 777, 396, 559, 728, 131, 816, 926, 805, 171, 5, 53, 167, 903, 190, 360, 521, 624, 19, 272, 232, 333, 833, 105, 110, 676, 855, 76, 818, 409, 829, 19, 520, 325, 645, 547, 602, 246, 250, 742, 999, 918, 882, 922, 648, 630, 301, 687, 108, 894, 210, 231, 191, 877, 536, 846, 786, 70, 543, 686, 660, 306, 33, 69, 164, 452, 57, 74, 240, 923, 607, 705, 6, 763, 739},
{681, 519, 158, 466, 751, 14, 143, 531, 516, 30, 710, 884, 904, 366, 731, 262, 847, 719, 859, 783, 158, 203, 101, 897, 337, 675, 815, 318, 836, 968, 727, 811, 269, 630, 929, 841, 230, 786, 970, 93, 667, 64, 865, 857, 189, 300, 262, 106, 303, 947, 55, 816, 359, 645, 470, 810, 865, 435, 7, 888, 930, 492, 630, 566, 827, 39, 337, 51, 47, 317, 516, 417, 754, 113, 552, 123, 280, 348, 746, 91, 98, 674, 967, 608, 804, 844, 390, 202, 726, 873, 305, 444, 166, 643, 275, 402, 720, 663, 823, 42, 797, 151, 459, 455, 206, 465, 59, 213, 671, 196, 566, 486, 233, 882, 495, 857, 724, 429, 950, 882, 980, 767, 771, 525, 971, 198, 891, 601, 805, 188, 233, 198, 429, 51, 274, 847, 893, 95, 918, 934, 257, 330, 474, 384, 552, 741, 326, 218, 759, 495, 389, 949, 395, 153, 515, 126, 142, 133, 831, 525, 952, 211, 404, 686, 161, 801, 737, 435, 466, 127, 322, 45, 71, 158, 905, 530, 893, 382, 165, 277, 507, 33, 211, 930, 396, 421, 722, 992, 200, 379, 508, 68, 816, 652, 25, 75, 668, 271, 681, 25, 931, 549, 774, 168, 278, 382, 550, 394, 484, 926, 204, 790, 323, 616, 575, 165, 281, 655, 943, 170, 10, 815, 589, 358, 857, 405, 725, 177, 503, 721, 999, 401, 491, 188, 8, 961, 411, 619, 166, 496, 584, 765, 850, 161, 376, 336, 922, 447, 675, 221, 634, 786, 645, 517, 442, 702, 607, 241, 432, 168, 774, 369, 900, 589, 619, 912, 143, 541, 860, 277, 648, 984, 381, 89, 698, 172, 948, 982, 855, 911, 239, 611, 934, 109, 500, 251, 820, 794, 198, 960, 960},
{935, 75, 191, 412, 366, 402, 109, 102, 144, 615, 670, 348, 457, 138, 659, 749, 969, 986, 486, 270, 169, 625, 534, 711, 825, 654, 225, 812, 159, 124, 797, 870, 689, 655, 985, 140, 26, 115, 392, 266, 50, 250, 398, 637, 40, 588, 845, 892, 289, 902, 594, 729, 697, 690, 252, 838, 599, 487, 83, 30, 851, 266, 76, 558, 813, 854, 685, 270, 389, 58, 573, 388, 751, 165, 961, 728, 708, 581, 899, 622, 942, 629, 809, 104, 478, 950, 178, 740, 856, 543, 154, 50, 414, 166, 105, 610, 979, 772, 910, 820, 70, 638, 873, 756, 369, 77, 640, 738, 869, 976, 481, 14, 547, 918, 575, 440, 884, 289, 710, 169, 833, 644, 947, 111, 71, 538, 341, 398, 495, 200, 785, 153, 982, 705, 393, 600, 327, 755, 611, 10, 178, 789, 441, 948, 507, 893, 708, 100, 815, 914, 328, 249, 866, 256, 900, 52, 178, 49, 788, 930, 918, 796, 992, 721, 112, 130, 823, 757, 264, 15, 322, 678, 618, 589, 848, 586, 244, 852, 87, 135, 91, 569, 928, 756, 941, 102, 378, 507, 928, 331, 647, 948, 906, 510, 85, 82, 518, 641, 417, 580, 208, 951, 113, 485, 825, 142, 266, 87, 679, 319, 578, 915, 81, 988, 421, 660, 483, 24, 912, 344, 297, 257, 227, 276, 329, 264, 44, 144, 606, 905, 201, 98, 991, 435, 88, 850, 665, 306, 281, 589, 968, 343, 231, 17, 600, 606, 566, 905, 402, 101, 711, 362, 242, 458, 88, 419, 620, 874, 91, 676, 633, 864, 439, 431, 926, 845, 240, 186, 55, 179, 284, 428, 478, 54, 705, 342, 43, 514, 65, 451, 385, 13, 394, 230, 159, 97, 455, 414, 385, 235, 746, 63},
{476, 314, 358, 448, 713, 63, 817, 466, 38, 492, 496, 613, 17, 462, 956, 506, 767, 671, 903, 554, 443, 652, 996, 681, 575, 886, 866, 923, 261, 735, 139, 308, 639, 737, 101, 678, 620, 709, 953, 43, 115, 257, 245, 551, 322, 511, 175, 465, 742, 357, 941, 307, 703, 990, 213, 953, 104, 359, 74, 590, 17, 946, 562, 288, 521, 390, 950, 475, 895, 634, 530, 713, 813, 660, 499, 19, 786, 378, 964, 394, 423, 886, 753, 423, 452, 191, 896, 483, 643, 391, 204, 629, 913, 541, 290, 260, 924, 634, 796, 422, 437, 656, 307, 41, 513, 209, 640, 383, 443, 26, 781, 819, 900, 563, 716, 276, 433, 974, 805, 848, 826, 970, 152, 684, 313, 472, 631, 614, 821, 517, 843, 1, 716, 551, 291, 914, 525, 125, 494, 85, 193, 5, 616, 996, 281, 886, 358, 180, 384, 233, 599, 959, 722, 216, 245, 917, 528, 401, 244, 880, 362, 606, 585, 495, 939, 293, 355, 376, 414, 993, 611, 351, 291, 506, 930, 543, 327, 14, 940, 930, 836, 892, 86, 501, 783, 651, 136, 367, 936, 374, 688, 982, 144, 74, 15, 158, 475, 540, 116, 679, 573, 657, 789, 175, 72, 662, 838, 316, 345, 466, 305, 589, 160, 31, 720, 629, 51, 722, 962, 538, 328, 747, 242, 741, 716, 30, 93, 617, 515, 378, 54, 612, 51, 360, 855, 538, 937, 97, 546, 539, 321, 85, 961, 520, 851, 237, 350, 904, 599, 572, 752, 257, 521, 365, 957, 632, 351, 102, 463, 544, 997, 306, 883, 63, 624, 144, 697, 886, 583, 731, 31, 191, 313, 244, 428, 673, 83, 230, 212, 495, 241, 54, 68, 766, 212, 984, 973, 791, 49, 270, 418, 556, 777},
{477, 176, 835, 127, 495, 534, 846, 484, 832, 978, 625, 83, 302, 825, 126, 493, 720, 180, 611, 473, 10, 919, 75, 84, 957, 71, 264, 805, 951, 115, 383, 40, 190, 234, 720, 22, 240, 451, 209, 622, 313, 969, 459, 986, 315, 713, 864, 236, 527, 265, 202, 681, 786, 911, 558, 164, 151, 483, 515, 123, 331, 41, 278, 976, 621, 209, 810, 228, 687, 175, 145, 469, 290, 909, 695, 115, 993, 186, 821, 266, 936, 356, 894, 586, 5, 649, 802, 429, 127, 961, 186, 775, 944, 729, 675, 697, 823, 479, 68, 194, 28, 103, 683, 220, 879, 717, 109, 675, 909, 209, 164, 892, 323, 222, 189, 945, 585, 392, 707, 660, 570, 78, 91, 815, 514, 726, 106, 404, 958, 266, 140, 224, 977, 580, 431, 272, 252, 257, 872, 633, 953, 211, 826, 566, 10, 756, 901, 505, 15, 954, 835, 553, 963, 783, 479, 842, 29, 806, 356, 808, 788, 509, 432, 54, 674, 432, 551, 956, 932, 525, 437, 601, 46, 926, 298, 924, 383, 476, 851, 196, 866, 863, 4, 72, 513, 228, 539, 514, 77, 435, 877, 799, 414, 989, 417, 675, 820, 735, 983, 521, 356, 83, 665, 971, 91, 485, 661, 89, 258, 268, 810, 590, 573, 757, 143, 55, 329, 807, 150, 309, 433, 490, 453, 364, 268, 698, 212, 412, 83, 853, 919, 360, 663, 743, 206, 309, 188, 752, 873, 204, 489, 384, 690, 593, 445, 41, 385, 73, 848, 481, 889, 534, 886, 224, 102, 754, 348, 461, 384, 243, 734, 710, 523, 498, 756, 501, 127, 985, 89, 920, 306, 236, 840, 690, 986, 401, 943, 791, 422, 536, 514, 331, 286, 599, 326, 478, 243, 910, 709, 810, 31, 380, 553, 322},
{908, 319, 602, 724, 796, 70, 904, 351, 532, 12, 97, 166, 474, 698, 199, 906, 97, 49, 702, 365, 328, 516, 74, 155, 110, 123, 205, 105, 87, 91, 964, 570, 363, 548, 778, 580, 10, 463, 63, 661, 358, 518, 426, 643, 141, 105, 780, 511, 255, 15, 896, 584, 213, 671, 469, 926, 406, 957, 473, 903, 897, 775, 438, 238, 816, 484, 281, 729, 370, 288, 520, 71, 112, 443, 995, 815, 392, 882, 718, 613, 844, 497, 115, 290, 358, 834, 696, 204, 219, 423, 178, 591, 33, 292, 133, 281, 570, 480, 572, 253, 920, 525, 215, 987, 182, 967, 836, 472, 482, 878, 776, 998, 264, 324, 590, 639, 650, 421, 875, 353, 181, 387, 496, 242, 356, 530, 795, 358, 268, 676, 884, 837, 20, 905, 776, 852, 798, 814, 958, 7, 213, 732, 968, 395, 956, 441, 694, 461, 955, 7, 388, 162, 881, 247, 859, 749, 345, 238, 900, 611, 120, 979, 772, 217, 476, 40, 488, 226, 73, 538, 712, 155, 874, 319, 330, 867, 268, 524, 112, 310, 869, 88, 465, 550, 525, 851, 941, 195, 650, 96, 50, 692, 375, 295, 911, 848, 927, 812, 486, 133, 283, 71, 405, 997, 438, 455, 940, 473, 535, 829, 274, 781, 726, 96, 19, 544, 846, 665, 899, 470, 921, 43, 617, 44, 49, 10, 153, 850, 465, 18, 226, 651, 409, 515, 164, 206, 996, 846, 192, 169, 441, 305, 29, 65, 848, 660, 722, 485, 269, 190, 860, 150, 870, 850, 644, 422, 892, 720, 825, 190, 522, 249, 187, 753, 919, 189, 52, 538, 459, 287, 310, 958, 611, 945, 570, 759, 58, 120, 348, 498, 315, 633, 662, 611, 589, 949, 983, 680, 618, 219, 284, 110, 995, 31, 828},
{397, 808, 919, 430, 587, 493, 112, 127, 301, 465, 396, 616, 928, 427, 287, 349, 209, 271, 827, 844, 412, 117, 504, 698, 796, 374, 721, 715, 823, 634, 214, 802, 865, 880, 586, 574, 776, 716, 895, 96, 760, 308, 813, 835, 414, 283, 456, 687, 706, 93, 398, 882, 905, 260, 737, 704, 147, 464, 350, 187, 439, 660, 608, 406, 359, 286, 915, 534, 610, 137, 403, 568, 911, 688, 968, 520, 390, 465, 674, 923, 762, 574, 184, 683, 117, 655, 505, 667, 43, 326, 864, 949, 153, 654, 871, 295, 835, 310, 526, 257, 165, 850, 790, 310, 493, 989, 604, 518, 181, 828, 247, 547, 294, 750, 903, 320, 865, 90, 125, 146, 500, 754, 642, 991, 677, 684, 647, 437, 102, 407, 218, 939, 842, 978, 54, 275, 807, 282, 44, 405, 310, 999, 503, 558, 82, 565, 79, 23, 134, 69, 447, 990, 274, 369, 914, 834, 929, 685, 954, 324, 154, 486, 524, 653, 364, 863, 728, 621, 381, 421, 43, 914, 820, 378, 807, 302, 734, 778, 199, 417, 691, 630, 182, 988, 134, 347, 241, 592, 963, 88, 821, 425, 766, 449, 495, 204, 17, 508, 843, 985, 859, 394, 900, 615, 824, 396, 825, 551, 905, 128, 142, 16, 968, 417, 475, 757, 393, 390, 247, 267, 156, 701, 175, 899, 338, 972, 753, 244, 153, 271, 118, 4, 167, 923, 811, 831, 321, 22, 32, 840, 757, 742, 842, 954, 176, 989, 730, 891, 686, 947, 601, 304, 641, 840, 979, 552, 975, 552, 777, 641, 934, 807, 410, 79, 905, 309, 478, 829, 252, 512, 476, 46, 680, 800, 212, 984, 677, 395, 690, 357, 997, 697, 249, 393, 994, 706, 625, 43, 840, 777, 454, 89, 333, 263, 424, 401},
{14, 531, 959, 236, 810, 419, 796, 224, 254, 441, 308, 709, 612, 984, 753, 139, 942, 261, 894, 518, 169, 17, 562, 341, 738, 877, 864, 971, 374, 711, 653, 224, 664, 599, 786, 718, 3, 845, 479, 687, 468, 929, 750, 75, 766, 483, 558, 135, 291, 182, 730, 264, 675, 884, 191, 437, 956, 505, 335, 482, 634, 853, 581, 377, 418, 148, 308, 912, 456, 950, 372, 344, 183, 62, 393, 108, 697, 302, 801, 303, 748, 150, 418, 362, 22, 951, 998, 302, 360, 767, 726, 981, 993, 956, 139, 43, 632, 288, 308, 599, 479, 699, 450, 276, 850, 830, 242, 908, 102, 110, 315, 53, 984, 470, 324, 494, 397, 761, 948, 90, 727, 518, 982, 616, 623, 45, 393, 773, 108, 702, 855, 126, 373, 874, 824, 576, 476, 335, 624, 886, 441, 649, 395, 897, 908, 793, 996, 348, 603, 398, 117, 599, 345, 892, 918, 180, 242, 344, 508, 762, 997, 998, 410, 92, 987, 329, 7, 428, 837, 941, 605, 248, 812, 803, 372, 343, 203, 82, 898, 913, 241, 358, 580, 982, 847, 91, 269, 230, 606, 976, 940, 366, 956, 304, 184, 269, 533, 487, 423, 439, 946, 694, 662, 742, 72, 914, 437, 36, 96, 838, 391, 38, 145, 684, 552, 700, 306, 418, 980, 451, 261, 895, 886, 872, 544, 115, 743, 778, 641, 105, 173, 226, 770, 978, 597, 643, 202, 350, 722, 162, 395, 581, 960, 226, 69, 347, 773, 732, 572, 565, 754, 270, 537, 86, 988, 522, 882, 399, 867, 522, 670, 272, 48, 247, 193, 429, 709, 993, 940, 321, 616, 85, 759, 562, 705, 693, 618, 868, 149, 34, 867, 153, 843, 716, 796, 4, 281, 781, 555, 938, 654, 854, 268, 667, 785, 881, 233},
{95, 216, 94, 648, 948, 348, 250, 236, 743, 62, 666, 435, 210, 633, 246, 623, 509, 94, 543, 927, 265, 393, 856, 761, 931, 876, 512, 182, 64, 593, 768, 508, 843, 916, 237, 432, 584, 809, 323, 30, 22, 790, 934, 636, 894, 371, 649, 573, 710, 239, 584, 97, 594, 995, 472, 721, 840, 589, 789, 317, 83, 899, 385, 951, 32, 115, 703, 515, 372, 627, 588, 537, 700, 205, 654, 491, 393, 83, 376, 94, 867, 446, 375, 743, 13, 506, 885, 328, 492, 984, 965, 43, 199, 377, 883, 781, 409, 787, 997, 864, 69, 494, 595, 622, 214, 654, 398, 364, 750, 704, 866, 792, 660, 106, 13, 827, 281, 33, 161, 49, 422, 500, 980, 761, 996, 197, 169, 708, 283, 1, 336, 56, 114, 738, 52, 148, 103, 252, 455, 891, 464, 273, 577, 355, 126, 879, 269, 323, 593, 581, 686, 83, 478, 174, 365, 705, 674, 546, 238, 409, 926, 585, 391, 400, 942, 152, 970, 748, 233, 862, 388, 422, 620, 66, 938, 628, 690, 990, 958, 970, 519, 501, 947, 762, 667, 252, 411, 10, 795, 389, 756, 239, 244, 46, 274, 317, 555, 67, 66, 864, 275, 328, 830, 699, 267, 986, 563, 965, 461, 774, 553, 273, 195, 184, 549, 203, 252, 44, 605, 10, 302, 480, 898, 199, 676, 739, 779, 951, 335, 674, 397, 17, 423, 950, 539, 794, 48, 207, 705, 817, 757, 462, 43, 738, 766, 20, 481, 213, 103, 28, 302, 808, 759, 626, 424, 148, 369, 290, 870, 52, 114, 610, 266, 337, 372, 226, 696, 294, 80, 48, 963, 572, 900, 234, 50, 381, 82, 591, 640, 442, 293, 212, 652, 85, 868, 201, 15, 275, 578, 255, 423, 87, 492, 770, 360, 345, 537, 824},
{465, 732, 85, 124, 247, 645, 247, 509, 196, 470, 633, 127, 605, 785, 950, 736, 776, 151, 217, 903, 855, 809, 333, 50, 210, 620, 403, 390, 151, 975, 533, 820, 783, 278, 768, 726, 976, 820, 476, 489, 718, 521, 751, 203, 650, 40, 355, 728, 196, 263, 287, 776, 468, 987, 347, 113, 143, 934, 932, 370, 535, 859, 892, 174, 423, 665, 452, 461, 546, 844, 127, 953, 326, 548, 46, 687, 23, 802, 288, 416, 506, 180, 706, 465, 795, 273, 180, 324, 760, 897, 387, 850, 738, 852, 42, 463, 287, 381, 947, 141, 30, 261, 383, 303, 321, 556, 96, 947, 457, 629, 626, 475, 308, 976, 757, 730, 532, 815, 647, 678, 970, 92, 606, 35, 449, 808, 526, 869, 962, 100, 694, 916, 140, 507, 108, 853, 962, 295, 397, 294, 948, 432, 200, 644, 377, 99, 129, 212, 709, 173, 484, 200, 34, 180, 538, 268, 225, 614, 479, 400, 526, 366, 133, 671, 434, 252, 133, 379, 77, 249, 549, 685, 775, 140, 880, 574, 98, 673, 920, 443, 528, 273, 254, 112, 809, 531, 48, 360, 131, 462, 352, 378, 588, 532, 338, 651, 775, 986, 792, 908, 924, 888, 703, 677, 766, 593, 938, 940, 137, 73, 901, 109, 439, 633, 507, 257, 239, 91, 992, 160, 638, 384, 881, 168, 602, 939, 896, 361, 39, 867, 712, 766, 315, 165, 251, 619, 822, 706, 636, 795, 371, 716, 14, 563, 482, 820, 201, 766, 89, 505, 533, 384, 770, 24, 319, 162, 411, 355, 43, 693, 70, 805, 841, 868, 968, 260, 766, 112, 685, 862, 79, 177, 60, 138, 122, 588, 859, 173, 350, 977, 937, 489, 706, 687, 497, 669, 897, 8, 52, 653, 30, 323, 891, 806, 740, 266, 133, 580, 200},
{697, 962, 573, 311, 962, 280, 291, 28, 410, 778, 763, 945, 603, 419, 452, 238, 991, 377, 532, 562, 90, 805, 756, 764, 343, 163, 563, 119, 938, 447, 7, 321, 820, 394, 380, 670, 978, 595, 108, 716, 958, 530, 614, 112, 151, 705, 370, 613, 61, 462, 270, 939, 266, 503, 811, 688, 149, 889, 294, 620, 839, 55, 389, 409, 20, 374, 5, 381, 356, 987, 313, 865, 383, 821, 165, 519, 591, 252, 904, 391, 323, 432, 770, 564, 841, 70, 633, 906, 581, 377, 838, 858, 187, 967, 294, 197, 383, 720, 756, 402, 136, 30, 479, 599, 810, 359, 986, 46, 278, 782, 778, 777, 950, 998, 178, 349, 806, 335, 380, 562, 312, 442, 992, 701, 11, 682, 5, 64, 247, 698, 185, 532, 125, 316, 337, 494, 364, 683, 748, 686, 116, 531, 395, 433, 180, 545, 172, 310, 313, 77, 496, 476, 478, 870, 102, 811, 946, 44, 763, 475, 142, 286, 979, 750, 5, 139, 337, 830, 421, 252, 434, 716, 980, 732, 710, 552, 889, 29, 492, 541, 409, 330, 888, 20, 575, 122, 902, 429, 277, 357, 273, 677, 2, 699, 128, 821, 686, 410, 457, 104, 128, 768, 806, 100, 386, 355, 359, 171, 427, 116, 724, 440, 22, 932, 371, 246, 592, 292, 613, 409, 227, 756, 440, 639, 605, 161, 317, 140, 917, 845, 262, 771, 162, 773, 123, 154, 406, 98, 21, 739, 680, 587, 319, 174, 184, 332, 340, 271, 398, 320, 274, 507, 509, 813, 374, 247, 282, 920, 585, 831, 140, 387, 215, 263, 745, 467, 104, 457, 839, 625, 47, 935, 405, 980, 878, 411, 519, 634, 714, 902, 382, 443, 338, 915, 117, 408, 635, 740, 858, 524, 228, 100, 590, 879, 236, 237, 905, 800, 144, 12},
{633, 58, 329, 737, 801, 483, 680, 291, 971, 904, 116, 521, 341, 908, 511, 51, 366, 835, 728, 411, 861, 337, 949, 824, 665, 997, 510, 78, 990, 807, 785, 656, 547, 710, 425, 735, 335, 80, 456, 649, 789, 722, 308, 208, 613, 929, 844, 586, 192, 178, 855, 543, 966, 313, 266, 415, 522, 425, 550, 657, 430, 182, 424, 723, 79, 82, 926, 704, 814, 947, 420, 490, 752, 981, 878, 128, 472, 892, 76, 742, 692, 912, 906, 604, 697, 17, 160, 902, 935, 280, 501, 341, 748, 118, 284, 952, 623, 97, 85, 418, 719, 104, 548, 710, 658, 941, 175, 156, 759, 817, 217, 819, 920, 779, 709, 690, 380, 888, 983, 292, 408, 787, 707, 234, 827, 389, 627, 655, 903, 590, 681, 714, 769, 298, 108, 72, 52, 530, 486, 757, 774, 65, 398, 988, 931, 895, 529, 214, 338, 773, 611, 160, 520, 216, 515, 695, 419, 680, 225, 117, 630, 49, 149, 819, 755, 158, 432, 428, 203, 894, 481, 123, 414, 293, 955, 321, 73, 118, 812, 853, 345, 683, 844, 504, 543, 42, 335, 90, 908, 176, 66, 267, 422, 603, 945, 908, 610, 587, 950, 196, 346, 203, 891, 541, 553, 667, 777, 79, 528, 655, 183, 737, 327, 824, 61, 841, 291, 387, 951, 789, 325, 387, 331, 586, 980, 263, 176, 926, 736, 410, 469, 80, 153, 697, 444, 33, 692, 316, 889, 251, 119, 941, 691, 892, 307, 863, 124, 555, 228, 691, 83, 432, 608, 237, 601, 267, 502, 406, 462, 656, 582, 267, 693, 43, 470, 993, 50, 230, 837, 42, 297, 338, 336, 737, 314, 935, 612, 447, 529, 498, 828, 635, 190, 427, 117, 396, 331, 626, 351, 523, 68, 31, 463, 757, 15, 536, 298, 636, 235, 506, 642},
{276, 77, 387, 644, 504, 695, 12, 316, 979, 816, 834, 177, 324, 536, 706, 394, 859, 556, 766, 976, 199, 268, 707, 639, 838, 529, 965, 23, 895, 826, 354, 792, 289, 719, 283, 22, 16, 149, 992, 947, 633, 214, 146, 829, 710, 496, 732, 180, 787, 866, 484, 83, 359, 974, 881, 643, 471, 325, 420, 897, 825, 888, 18, 645, 649, 716, 278, 753, 219, 898, 914, 435, 628, 546, 771, 919, 271, 118, 751, 672, 582, 616, 436, 47, 753, 604, 353, 848, 512, 4, 645, 773, 559, 904, 374, 120, 926, 402, 782, 475, 354, 586, 671, 307, 747, 388, 416, 513, 934, 929, 300, 41, 223, 394, 546, 589, 701, 204, 847, 302, 862, 461, 264, 82, 864, 211, 57, 827, 655, 48, 399, 471, 313, 7, 958, 144, 107, 466, 990, 215, 259, 998, 957, 191, 850, 737, 666, 690, 74, 820, 578, 794, 861, 919, 252, 66, 943, 685, 842, 469, 541, 198, 210, 213, 258, 114, 466, 280, 181, 313, 718, 27, 855, 245, 354, 773, 597, 97, 491, 763, 538, 125, 70, 189, 933, 198, 662, 262, 487, 679, 277, 463, 914, 264, 310, 156, 484, 264, 318, 749, 67, 170, 474, 450, 68, 996, 421, 450, 672, 55, 716, 68, 46, 282, 220, 991, 480, 247, 596, 229, 975, 202, 557, 840, 446, 364, 599, 783, 533, 711, 765, 488, 11, 141, 392, 849, 899, 804, 901, 404, 695, 786, 452, 383, 572, 74, 621, 181, 33, 925, 430, 534, 229, 355, 658, 379, 101, 414, 811, 900, 559, 359, 132, 786, 174, 596, 708, 51, 189, 493, 102, 105, 277, 783, 878, 926, 102, 273, 123, 283, 639, 28, 288, 980, 209, 19, 718, 992, 342, 468, 805, 177, 941, 753, 2, 984, 655, 823, 864, 204, 35, 480},
{894, 320, 852, 811, 166, 518, 874, 262, 656, 693, 517, 561, 761, 89, 73, 785, 661, 367, 599, 310, 99, 942, 150, 333, 664, 429, 761, 933, 850, 885, 477, 330, 978, 376, 767, 132, 627, 8, 868, 906, 295, 254, 942, 280, 891, 831, 473, 144, 84, 848, 965, 292, 655, 230, 857, 921, 809, 664, 527, 15, 807, 458, 420, 563, 380, 673, 607, 963, 136, 934, 543, 680, 574, 79, 401, 454, 382, 611, 111, 913, 381, 583, 164, 431, 920, 68, 306, 482, 463, 893, 487, 531, 876, 674, 811, 719, 208, 450, 781, 202, 780, 455, 827, 31, 64, 630, 981, 907, 82, 496, 537, 930, 128, 902, 751, 743, 107, 28, 921, 106, 186, 667, 695, 981, 293, 533, 68, 665, 658, 789, 357, 382, 782, 503, 359, 8, 174, 42, 19, 289, 705, 695, 202, 980, 707, 960, 575, 836, 733, 17, 176, 267, 511, 845, 993, 799, 742, 391, 750, 154, 274, 890, 142, 897, 653, 218, 972, 131, 234, 694, 994, 604, 804, 296, 761, 985, 194, 625, 485, 754, 407, 319, 701, 314, 640, 786, 535, 506, 949, 311, 494, 631, 441, 572, 17, 463, 605, 604, 441, 515, 804, 40, 677, 993, 993, 242, 623, 436, 478, 610, 290, 63, 861, 892, 658, 218, 385, 806, 555, 118, 537, 674, 184, 304, 153, 42, 519, 832, 216, 459, 463, 241, 244, 680, 521, 759, 424, 565, 755, 77, 652, 869, 963, 195, 243, 913, 345, 574, 357, 874, 390, 794, 118, 36, 380, 439, 6, 907, 674, 763, 334, 535, 903, 974, 529, 689, 312, 646, 507, 870, 729, 840, 636, 229, 105, 37, 647, 567, 64, 841, 412, 562, 746, 744, 643, 230, 996, 932, 463, 438, 82, 234, 247, 962, 282, 845, 319, 190, 59, 367, 888, 62, 33},
{34, 59, 279, 645, 774, 903, 94, 236, 845, 344, 247, 224, 381, 7, 726, 226, 111, 352, 76, 245, 907, 86, 915, 511, 562, 277, 176, 145, 382, 668, 326, 609, 772, 386, 507, 807, 978, 613, 84, 765, 524, 824, 562, 86, 720, 887, 239, 717, 796, 624, 204, 157, 849, 492, 535, 889, 789, 631, 592, 718, 927, 879, 366, 670, 663, 306, 691, 312, 951, 432, 20, 653, 923, 597, 95, 279, 38, 851, 579, 5, 615, 358, 154, 132, 493, 525, 94, 337, 765, 1, 656, 342, 296, 210, 879, 740, 739, 352, 534, 836, 310, 613, 69, 860, 445, 918, 335, 703, 772, 701, 763, 181, 556, 14, 468, 885, 855, 823, 417, 885, 180, 453, 435, 882, 360, 973, 293, 960, 646, 786, 549, 722, 836, 784, 132, 424, 343, 252, 881, 732, 677, 70, 373, 824, 779, 937, 419, 875, 1, 16, 552, 418, 291, 831, 667, 664, 354, 338, 740, 644, 76, 729, 203, 934, 559, 992, 134, 820, 473, 208, 886, 986, 225, 276, 155, 180, 678, 121, 763, 876, 759, 386, 686, 658, 300, 315, 845, 858, 902, 794, 297, 73, 450, 540, 299, 268, 101, 984, 565, 581, 287, 738, 759, 351, 260, 415, 880, 579, 187, 197, 761, 818, 693, 779, 316, 410, 969, 239, 531, 131, 296, 884, 459, 548, 856, 445, 618, 806, 265, 743, 283, 155, 82, 580, 113, 247, 902, 717, 454, 125, 343, 703, 436, 865, 310, 766, 666, 45, 504, 161, 940, 538, 22, 171, 876, 701, 232, 419, 804, 631, 880, 279, 547, 23, 493, 942, 967, 150, 701, 136, 267, 608, 93, 585, 87, 754, 529, 52, 359, 245, 663, 181, 761, 670, 541, 463, 335, 36, 798, 313, 503, 776, 889, 659, 321, 62, 249, 456, 200, 366, 38, 205, 805, 696},
{354, 947, 52, 370, 401, 138, 331, 987, 137, 505, 233, 51, 319, 292, 982, 732, 746, 238, 750, 440, 687, 299, 809, 160, 160, 358, 243, 47, 778, 131, 505, 350, 323, 61, 721, 587, 67, 236, 6, 787, 169, 266, 470, 777, 99, 629, 820, 703, 171, 190, 605, 440, 717, 494, 257, 83, 369, 941, 36, 461, 178, 146, 859, 506, 38, 618, 800, 346, 978, 424, 709, 188, 427, 588, 36, 422, 436, 865, 424, 890, 253, 933, 46, 924, 308, 209, 989, 583, 849, 243, 225, 517, 33, 104, 774, 1, 183, 239, 821, 989, 366, 64, 342, 493, 128, 907, 772, 172, 470, 32, 931, 820, 697, 130, 99, 327, 765, 114, 711, 768, 153, 987, 613, 532, 87, 331, 177, 748, 156, 221, 905, 843, 947, 453, 295, 765, 404, 535, 869, 229, 958, 273, 272, 402, 417, 718, 234, 574, 715, 868, 44, 712, 401, 779, 861, 254, 681, 722, 869, 168, 367, 551, 777, 54, 900, 747, 621, 59, 930, 478, 195, 453, 554, 572, 648, 982, 465, 545, 997, 549, 689, 659, 324, 322, 539, 546, 437, 129, 659, 93, 638, 859, 809, 155, 27, 663, 77, 112, 452, 911, 796, 506, 867, 257, 330, 724, 269, 646, 222, 241, 899, 792, 973, 985, 646, 452, 829, 227, 815, 822, 520, 774, 608, 530, 859, 403, 620, 952, 463, 139, 669, 85, 623, 467, 81, 755, 560, 559, 327, 768, 829, 356, 555, 466, 690, 696, 157, 266, 598, 721, 930, 994, 819, 463, 850, 173, 343, 867, 667, 15, 904, 505, 819, 549, 943, 858, 183, 155, 749, 417, 234, 815, 874, 736, 71, 555, 145, 275, 598, 854, 235, 77, 873, 314, 828, 320, 236, 490, 843, 327, 428, 594, 66, 884, 288, 728, 814, 640, 996, 406, 906, 868, 101, 397, 322},
{154, 677, 333, 416, 375, 104, 94, 438, 932, 842, 733, 431, 322, 548, 575, 256, 18, 582, 169, 649, 110, 716, 984, 698, 303, 398, 92, 81, 691, 469, 568, 705, 188, 626, 64, 194, 611, 238, 767, 712, 213, 346, 7, 281, 853, 831, 833, 606, 142, 734, 279, 856, 581, 668, 360, 580, 189, 138, 580, 131, 93, 291, 382, 554, 352, 322, 962, 873, 587, 295, 925, 114, 68, 650, 460, 204, 563, 6, 164, 103, 622, 183, 116, 110, 931, 552, 566, 337, 54, 922, 414, 761, 184, 165, 688, 85, 479, 707, 404, 895, 190, 839, 498, 251, 67, 480, 17, 849, 456, 716, 382, 449, 108, 929, 351, 15, 933, 789, 221, 369, 891, 734, 958, 795, 703, 810, 189, 127, 345, 907, 379, 335, 120, 502, 165, 528, 639, 969, 460, 596, 245, 442, 900, 403, 223, 942, 223, 577, 662, 231, 341, 461, 992, 409, 299, 705, 988, 806, 737, 319, 553, 115, 203, 741, 679, 25, 464, 645, 769, 862, 959, 707, 950, 855, 653, 587, 80, 670, 863, 666, 908, 829, 78, 913, 270, 459, 382, 393, 204, 569, 892, 533, 663, 724, 474, 237, 810, 549, 158, 343, 938, 959, 840, 728, 748, 424, 272, 547, 31, 804, 888, 735, 836, 556, 709, 906, 820, 152, 416, 213, 809, 582, 716, 565, 569, 723, 281, 845, 379, 167, 849, 400, 315, 825, 602, 143, 65, 271, 514, 62, 671, 288, 227, 783, 895, 570, 879, 130, 743, 832, 510, 255, 288, 882, 830, 67, 131, 331, 662, 94, 709, 711, 845, 882, 199, 729, 192, 279, 930, 276, 940, 701, 95, 586, 202, 573, 983, 638, 85, 649, 212, 498, 576, 872, 118, 786, 716, 731, 55, 883, 313, 848, 374, 799, 267, 637, 711, 854, 521, 458, 578, 440, 839, 641, 400, 190},
{867, 96, 856, 803, 415, 31, 784, 628, 473, 456, 994, 876, 264, 728, 20, 970, 542, 404, 228, 129, 421, 42, 741, 741, 242, 401, 287, 483, 405, 715, 447, 387, 592, 286, 789, 302, 545, 712, 977, 253, 396, 468, 309, 229, 578, 386, 65, 828, 482, 828, 695, 20, 407, 999, 137, 993, 760, 880, 485, 708, 165, 732, 855, 269, 886, 991, 488, 736, 967, 625, 79, 283, 532, 718, 864, 895, 28, 130, 209, 969, 546, 551, 303, 209, 988, 190, 143, 224, 513, 622, 100, 102, 654, 29, 268, 996, 493, 184, 250, 491, 491, 69, 216, 83, 947, 890, 857, 638, 547, 663, 339, 81, 136, 204, 470, 894, 699, 562, 100, 254, 484, 464, 150, 692, 346, 283, 846, 309, 712, 429, 374, 401, 970, 828, 676, 298, 737, 322, 96, 906, 192, 404, 336, 149, 600, 712, 545, 32, 216, 82, 381, 569, 975, 753, 601, 160, 825, 574, 35, 294, 993, 599, 826, 674, 304, 552, 470, 925, 417, 36, 475, 71, 932, 169, 456, 858, 443, 638, 85, 870, 964, 731, 590, 15, 633, 3, 461, 687, 216, 691, 560, 391, 760, 840, 145, 57, 666, 369, 152, 647, 575, 10, 701, 904, 715, 107, 959, 226, 780, 768, 400, 758, 992, 755, 999, 747, 709, 792, 126, 70, 858, 689, 685, 662, 497, 788, 604, 253, 1, 762, 884, 395, 761, 716, 265, 314, 757, 886, 991, 484, 50, 953, 334, 177, 75, 158, 242, 436, 586, 927, 986, 72, 237, 706, 719, 300, 84, 36, 628, 597, 759, 692, 760, 185, 636, 891, 664, 322, 103, 127, 711, 225, 967, 204, 305, 39, 86, 448, 258, 709, 551, 834, 268, 30, 154, 17, 768, 390, 376, 844, 448, 966, 889, 967, 363, 187, 364, 568, 879, 296, 421, 86, 671, 784, 736, 27, 584},
{231, 608, 639, 483, 858, 811, 221, 135, 714, 159, 343, 740, 927, 38, 115, 15, 958, 76, 867, 590, 52, 262, 353, 96, 433, 62, 590, 451, 880, 504, 19, 840, 411, 798, 496, 294, 789, 763, 974, 38, 431, 227, 415, 602, 78, 627, 598, 158, 300, 227, 15, 720, 486, 691, 953, 676, 490, 353, 225, 531, 502, 72, 704, 922, 49, 504, 28, 695, 217, 521, 319, 309, 382, 678, 780, 883, 686, 928, 367, 2, 524, 216, 496, 725, 78, 207, 959, 387, 761, 156, 765, 428, 46, 850, 630, 893, 718, 622, 242, 272, 120, 678, 215, 16, 266, 366, 862, 431, 47, 533, 526, 623, 885, 872, 235, 843, 371, 948, 867, 872, 319, 667, 861, 71, 702, 72, 702, 320, 646, 719, 135, 370, 438, 335, 18, 58, 143, 91, 272, 414, 907, 674, 183, 961, 531, 215, 614, 393, 192, 291, 364, 373, 484, 466, 972, 433, 97, 242, 781, 806, 503, 893, 942, 547, 28, 362, 374, 514, 533, 288, 364, 580, 741, 310, 658, 983, 917, 947, 348, 844, 223, 736, 848, 704, 565, 821, 554, 411, 175, 854, 518, 782, 449, 888, 638, 263, 855, 928, 381, 242, 777, 947, 51, 758, 252, 457, 957, 92, 478, 195, 603, 131, 827, 61, 214, 479, 838, 241, 488, 955, 340, 344, 449, 537, 425, 455, 676, 817, 451, 267, 986, 727, 642, 794, 858, 615, 140, 772, 481, 783, 548, 491, 372, 220, 129, 707, 877, 581, 775, 273, 772, 450, 842, 297, 333, 509, 698, 973, 990, 551, 609, 695, 645, 181, 179, 713, 237, 658, 114, 385, 996, 568, 527, 23, 93, 932, 329, 438, 56, 887, 529, 558, 451, 342, 416, 908, 745, 817, 657, 307, 243, 281, 336, 889, 217, 890, 823, 428, 122, 493, 156, 983, 847, 125, 303, 114, 524, 5},
{291, 221, 294, 243, 664, 133, 801, 20, 168, 690, 917, 52, 853, 925, 320, 992, 54, 400, 126, 815, 762, 423, 741, 327, 31, 143, 424, 711, 915, 968, 867, 410, 357, 383, 243, 684, 137, 977, 767, 946, 712, 430, 828, 304, 299, 264, 79, 788, 49, 426, 760, 438, 530, 128, 677, 723, 50, 914, 878, 828, 481, 656, 135, 925, 430, 2, 690, 913, 526, 824, 647, 40, 560, 398, 543, 462, 6, 338, 344, 76, 168, 834, 126, 860, 872, 337, 174, 607, 85, 651, 89, 131, 357, 357, 775, 949, 294, 550, 837, 22, 517, 201, 22, 296, 760, 804, 806, 738, 781, 612, 157, 9, 778, 431, 751, 155, 847, 889, 698, 521, 829, 99, 875, 587, 564, 843, 545, 566, 193, 794, 828, 462, 634, 737, 945, 678, 780, 509, 881, 459, 275, 106, 269, 183, 955, 477, 838, 961, 187, 595, 750, 129, 314, 721, 469, 890, 453, 228, 631, 866, 653, 937, 525, 273, 216, 720, 377, 239, 650, 979, 643, 102, 268, 766, 893, 575, 945, 468, 668, 337, 898, 414, 918, 967, 662, 291, 221, 123, 623, 944, 21, 514, 560, 19, 540, 554, 654, 888, 865, 504, 346, 498, 916, 578, 223, 78, 699, 739, 856, 145, 255, 853, 126, 877, 196, 458, 114, 714, 578, 660, 95, 991, 125, 561, 483, 553, 513, 187, 869, 486, 485, 102, 430, 618, 68, 771, 71, 925, 58, 246, 610, 771, 244, 946, 250, 771, 534, 158, 276, 120, 288, 342, 722, 424, 651, 520, 250, 430, 636, 810, 45, 569, 18, 644, 939, 877, 846, 327, 258, 715, 543, 376, 148, 652, 72, 514, 253, 58, 655, 264, 646, 192, 873, 874, 870, 85, 725, 677, 772, 61, 439, 46, 610, 552, 391, 852, 520, 750, 477, 679, 45, 729, 676, 63, 872, 901, 364, 766, 317},
{53, 111, 369, 369, 747, 344, 496, 327, 602, 264, 659, 124, 771, 811, 964, 468, 13, 360, 941, 815, 858, 994, 346, 41, 748, 921, 84, 356, 467, 594, 323, 687, 857, 593, 466, 248, 578, 163, 886, 473, 624, 591, 255, 860, 446, 281, 820, 479, 740, 441, 248, 109, 428, 842, 462, 6, 910, 936, 503, 284, 398, 982, 560, 773, 29, 493, 205, 14, 524, 461, 330, 707, 310, 322, 479, 598, 429, 548, 17, 192, 42, 102, 110, 204, 1, 709, 563, 889, 831, 68, 365, 658, 367, 648, 214, 508, 509, 708, 394, 830, 813, 506, 125, 107, 68, 472, 890, 838, 665, 257, 330, 824, 290, 187, 995, 568, 387, 619, 625, 128, 959, 98, 637, 249, 439, 20, 224, 952, 804, 706, 759, 64, 643, 417, 246, 351, 545, 838, 160, 43, 96, 29, 388, 498, 727, 613, 887, 717, 877, 276, 348, 187, 200, 242, 398, 292, 94, 480, 834, 157, 406, 832, 944, 291, 11, 128, 253, 889, 867, 616, 889, 957, 305, 736, 391, 715, 518, 294, 907, 855, 697, 649, 693, 354, 772, 395, 287, 438, 495, 276, 943, 259, 474, 867, 771, 563, 799, 605, 454, 361, 128, 276, 674, 193, 417, 38, 85, 92, 49, 330, 200, 760, 721, 821, 670, 786, 327, 630, 187, 957, 13, 666, 701, 849, 759, 840, 737, 919, 112, 316, 319, 264, 126, 680, 426, 40, 238, 146, 982, 340, 478, 443, 59, 921, 424, 71, 371, 802, 311, 944, 178, 188, 989, 330, 356, 571, 782, 87, 778, 149, 847, 940, 134, 869, 358, 459, 936, 553, 654, 866, 844, 500, 543, 660, 310, 929, 91, 219, 256, 422, 579, 257, 720, 231, 766, 18, 356, 979, 258, 556, 270, 801, 542, 337, 918, 399, 255, 629, 696, 875, 279, 870, 394, 419, 609, 246, 939, 113, 279, 218},
{693, 169, 260, 652, 102, 908, 949, 452, 697, 648, 774, 376, 278, 455, 450, 763, 585, 437, 671, 473, 963, 806, 342, 225, 299, 486, 968, 889, 976, 426, 520, 994, 741, 108, 870, 883, 127, 960, 932, 488, 522, 524, 720, 658, 74, 225, 872, 336, 348, 602, 627, 649, 78, 635, 841, 169, 389, 609, 397, 140, 617, 585, 281, 537, 188, 139, 679, 116, 65, 494, 666, 508, 965, 537, 458, 557, 878, 527, 743, 749, 388, 465, 295, 577, 30, 214, 936, 143, 131, 451, 953, 89, 611, 458, 175, 237, 832, 547, 323, 923, 833, 683, 678, 81, 260, 452, 754, 585, 873, 91, 466, 242, 760, 719, 238, 50, 280, 278, 593, 69, 354, 908, 31, 304, 887, 701, 411, 483, 28, 789, 666, 537, 450, 722, 348, 862, 76, 978, 456, 165, 456, 221, 988, 811, 558, 599, 902, 109, 823, 28, 480, 877, 223, 841, 659, 19, 434, 648, 513, 499, 459, 542, 919, 343, 717, 23, 419, 750, 125, 127, 413, 444, 741, 312, 145, 680, 322, 546, 357, 169, 509, 950, 114, 284, 461, 62, 57, 559, 432, 446, 268, 434, 188, 996, 5, 625, 171, 665, 779, 289, 11, 813, 661, 353, 317, 610, 229, 11, 702, 134, 277, 387, 604, 896, 254, 821, 823, 555, 431, 37, 629, 441, 938, 705, 931, 397, 164, 567, 268, 101, 472, 316, 322, 717, 845, 915, 251, 227, 837, 873, 369, 230, 188, 285, 616, 401, 549, 113, 821, 969, 35, 277, 976, 822, 722, 590, 604, 841, 828, 499, 830, 97, 975, 874, 984, 389, 897, 805, 345, 397, 944, 459, 175, 422, 954, 621, 356, 265, 433, 406, 695, 346, 460, 6, 503, 506, 457, 62, 98, 321, 731, 390, 737, 941, 715, 361, 861, 601, 962, 159, 638, 999, 241, 549, 564, 679, 521, 516, 258, 378, 269},
{347, 641, 96, 197, 285, 447, 269, 579, 884, 324, 18, 272, 600, 870, 892, 840, 927, 597, 962, 574, 635, 164, 313, 711, 227, 236, 280, 895, 818, 945, 791, 744, 12, 278, 236, 432, 196, 637, 146, 333, 954, 497, 842, 130, 875, 302, 877, 241, 142, 719, 769, 85, 721, 954, 32, 474, 846, 53, 969, 394, 732, 52, 45, 521, 180, 378, 867, 102, 774, 122, 58, 228, 889, 670, 236, 129, 595, 738, 444, 819, 881, 986, 114, 339, 297, 293, 528, 856, 248, 204, 392, 128, 686, 281, 742, 125, 868, 837, 912, 192, 194, 48, 704, 746, 866, 521, 207, 353, 269, 214, 957, 14, 494, 987, 238, 602, 440, 223, 364, 735, 223, 616, 748, 744, 457, 731, 377, 94, 107, 898, 88, 292, 203, 792, 701, 301, 719, 390, 631, 509, 284, 33, 58, 561, 201, 989, 145, 738, 489, 299, 56, 113, 229, 615, 720, 412, 542, 462, 407, 373, 967, 627, 143, 394, 807, 340, 968, 446, 275, 565, 790, 540, 900, 960, 351, 526, 742, 36, 449, 632, 353, 596, 84, 956, 359, 833, 641, 66, 778, 306, 578, 961, 840, 632, 338, 946, 207, 917, 366, 330, 941, 816, 170, 493, 502, 667, 367, 567, 292, 295, 489, 872, 65, 959, 160, 278, 553, 378, 908, 892, 219, 942, 500, 807, 965, 44, 177, 159, 974, 866, 580, 410, 559, 186, 501, 628, 91, 419, 755, 457, 599, 661, 679, 672, 600, 512, 733, 465, 67, 233, 658, 69, 250, 213, 476, 952, 209, 731, 386, 545, 500, 780, 268, 403, 479, 21, 55, 788, 33, 23, 735, 854, 403, 602, 119, 51, 931, 411, 761, 867, 186, 929, 685, 755, 969, 684, 569, 926, 91, 782, 151, 733, 666, 880, 437, 500, 911, 261, 186, 10, 59, 15, 800, 323, 78, 255, 446, 258, 337, 848, 714, 630},
{194, 451, 604, 331, 801, 473, 936, 395, 65, 223, 591, 514, 788, 645, 89, 819, 516, 972, 130, 388, 507, 107, 662, 605, 538, 776, 947, 450, 962, 312, 844, 774, 583, 395, 278, 885, 374, 309, 399, 57, 48, 991, 498, 143, 794, 694, 103, 118, 239, 139, 40, 192, 827, 874, 458, 140, 394, 945, 913, 618, 631, 83, 694, 530, 529, 387, 478, 957, 640, 852, 268, 783, 194, 167, 312, 892, 666, 911, 375, 746, 409, 691, 289, 225, 317, 705, 193, 830, 353, 5, 242, 766, 901, 996, 861, 922, 596, 738, 812, 523, 248, 263, 421, 19, 926, 433, 355, 851, 118, 833, 208, 860, 72, 801, 8, 447, 130, 984, 446, 74, 874, 766, 299, 334, 377, 444, 12, 600, 712, 360, 884, 236, 164, 15, 625, 424, 216, 813, 311, 979, 533, 272, 947, 875, 587, 409, 882, 828, 515, 543, 319, 21, 72, 952, 22, 876, 268, 629, 140, 923, 379, 922, 721, 916, 545, 966, 116, 774, 107, 634, 961, 411, 149, 198, 865, 177, 467, 16, 196, 474, 317, 348, 635, 104, 865, 804, 278, 991, 199, 73, 85, 294, 140, 266, 436, 291, 861, 677, 417, 101, 497, 757, 162, 1, 492, 868, 307, 77, 464, 718, 122, 980, 723, 440, 390, 803, 387, 920, 471, 493, 267, 365, 290, 736, 294, 64, 152, 982, 267, 973, 422, 90, 166, 48, 75, 128, 60, 210, 68, 26, 917, 494, 272, 54, 260, 136, 453, 672, 632, 361, 394, 841, 355, 174, 816, 736, 864, 731, 165, 745, 222, 768, 713, 724, 53, 98, 654, 752, 259, 447, 41, 62, 340, 737, 486, 372, 41, 463, 516, 601, 366, 997, 342, 817, 689, 499, 607, 318, 815, 589, 369, 960, 366, 127, 142, 186, 783, 205, 372, 710, 587, 979, 98, 529, 259, 46, 878, 701, 262, 852, 296, 344, 273},
{107, 461, 451, 647, 176, 999, 381, 512, 273, 922, 371, 639, 584, 651, 993, 452, 589, 204, 269, 70, 517, 229, 31, 309, 258, 129, 258, 949, 86, 978, 286, 362, 223, 361, 199, 822, 631, 485, 283, 442, 394, 166, 70, 654, 713, 349, 402, 646, 872, 855, 927, 940, 455, 933, 633, 571, 738, 31, 326, 958, 482, 927, 463, 619, 236, 969, 367, 327, 887, 725, 669, 179, 451, 791, 745, 319, 941, 839, 48, 728, 800, 252, 470, 583, 505, 850, 334, 166, 909, 283, 118, 218, 345, 629, 834, 913, 737, 637, 790, 357, 817, 814, 559, 598, 993, 264, 165, 708, 621, 791, 844, 360, 213, 262, 268, 708, 578, 654, 758, 91, 48, 532, 889, 229, 651, 892, 804, 147, 624, 496, 762, 998, 650, 788, 680, 343, 28, 488, 914, 186, 341, 767, 126, 284, 271, 680, 826, 793, 911, 188, 128, 314, 310, 669, 306, 810, 995, 303, 988, 657, 942, 66, 206, 290, 725, 393, 46, 541, 683, 726, 391, 776, 498, 299, 47, 350, 932, 465, 593, 762, 447, 850, 460, 113, 23, 372, 56, 98, 783, 917, 239, 876, 987, 109, 104, 528, 497, 92, 793, 769, 122, 771, 40, 788, 115, 210, 221, 794, 669, 210, 5, 927, 466, 236, 32, 666, 221, 900, 712, 791, 668, 221, 908, 228, 653, 736, 174, 832, 791, 332, 265, 269, 696, 359, 842, 684, 904, 192, 625, 769, 447, 884, 794, 166, 465, 23, 84, 896, 432, 138, 851, 647, 253, 321, 379, 286, 33, 768, 797, 949, 309, 55, 341, 413, 365, 845, 60, 205, 590, 631, 737, 118, 944, 809, 535, 360, 288, 108, 781, 558, 710, 889, 416, 233, 24, 400, 826, 171, 261, 337, 195, 316, 381, 461, 24, 423, 353, 119, 218, 740, 471, 682, 936, 405, 30, 892, 450, 78, 502, 995, 420, 577, 927, 420},
{325, 916, 546, 415, 244, 212, 618, 743, 851, 369, 971, 21, 267, 331, 61, 771, 349, 951, 241, 596, 147, 197, 485, 105, 458, 513, 35, 438, 885, 648, 304, 253, 343, 121, 908, 52, 710, 843, 879, 565, 199, 101, 937, 736, 64, 200, 226, 518, 477, 644, 54, 288, 731, 585, 974, 218, 480, 662, 47, 319, 362, 67, 198, 214, 195, 813, 413, 917, 911, 760, 909, 10, 533, 873, 528, 658, 778, 584, 337, 867, 365, 887, 844, 173, 643, 969, 276, 781, 987, 766, 67, 793, 287, 828, 141, 722, 923, 260, 516, 998, 911, 323, 513, 526, 200, 476, 145, 644, 726, 252, 289, 36, 496, 391, 893, 231, 812, 84, 746, 354, 805, 991, 367, 675, 562, 962, 124, 334, 513, 17, 26, 354, 174, 208, 534, 657, 18, 436, 341, 374, 9, 145, 303, 121, 315, 121, 642, 339, 801, 275, 54, 989, 164, 363, 598, 76, 12, 128, 134, 542, 744, 181, 538, 71, 828, 314, 204, 149, 954, 575, 81, 610, 598, 597, 78, 517, 722, 178, 767, 845, 690, 29, 142, 964, 999, 953, 664, 288, 88, 451, 937, 813, 318, 885, 135, 463, 197, 912, 738, 301, 54, 822, 242, 713, 667, 802, 209, 589, 805, 915, 490, 391, 232, 754, 462, 757, 509, 314, 854, 929, 830, 620, 121, 885, 209, 47, 321, 520, 558, 53, 190, 582, 614, 272, 373, 402, 177, 525, 843, 585, 834, 313, 150, 989, 239, 806, 442, 288, 948, 160, 227, 326, 77, 220, 374, 313, 291, 363, 224, 608, 173, 216, 543, 480, 614, 495, 694, 768, 701, 71, 597, 809, 499, 597, 17, 347, 237, 765, 211, 390, 686, 305, 231, 149, 913, 329, 26, 255, 192, 560, 26, 421, 552, 215, 66, 610, 387, 96, 356, 539, 521, 500, 711, 43, 398, 116, 365, 444, 354, 967, 572, 548, 505, 847, 592},
{308, 394, 357, 832, 525, 415, 886, 667, 179, 979, 352, 902, 72, 551, 523, 943, 587, 947, 96, 464, 206, 775, 459, 783, 354, 469, 282, 228, 877, 154, 603, 443, 82, 486, 137, 12, 886, 696, 865, 780, 79, 278, 820, 932, 54, 187, 132, 230, 697, 910, 74, 833, 283, 516, 830, 746, 324, 606, 137, 254, 356, 148, 790, 698, 512, 289, 262, 529, 587, 625, 288, 887, 997, 835, 356, 857, 691, 259, 486, 180, 575, 791, 556, 410, 490, 381, 670, 433, 95, 582, 801, 820, 304, 822, 963, 689, 38, 485, 685, 637, 163, 507, 461, 838, 437, 869, 142, 559, 175, 298, 928, 210, 115, 501, 782, 551, 692, 494, 526, 790, 482, 900, 913, 167, 119, 633, 202, 42, 383, 51, 550, 656, 476, 474, 705, 508, 728, 954, 962, 692, 102, 323, 382, 688, 905, 820, 576, 800, 74, 89, 178, 853, 195, 895, 256, 826, 252, 710, 536, 804, 694, 215, 289, 16, 14, 852, 101, 735, 481, 786, 607, 536, 87, 23, 409, 690, 998, 977, 61, 543, 58, 490, 7, 313, 915, 130, 784, 100, 444, 655, 643, 833, 931, 664, 958, 535, 426, 777, 485, 514, 282, 206, 521, 92, 617, 180, 529, 8, 920, 484, 627, 921, 473, 357, 619, 331, 625, 41, 910, 775, 206, 600, 770, 416, 502, 5, 835, 965, 325, 55, 701, 440, 646, 469, 710, 431, 161, 346, 768, 396, 932, 217, 147, 989, 974, 172, 716, 608, 175, 832, 25, 108, 548, 501, 927, 157, 149, 467, 253, 773, 327, 277, 93, 402, 220, 767, 895, 297, 516, 772, 478, 87, 545, 749, 438, 133, 712, 979, 221, 704, 114, 625, 277, 40, 963, 696, 320, 101, 92, 864, 695, 175, 345, 189, 251, 521, 225, 996, 913, 949, 427, 584, 387, 539, 281, 937, 984, 722, 250, 375, 645, 601, 764, 849, 605, 672},
{661, 704, 30, 120, 409, 803, 136, 424, 135, 298, 14, 345, 165, 781, 374, 264, 436, 207, 915, 443, 686, 752, 897, 30, 733, 745, 712, 523, 547, 887, 15, 994, 41, 279, 954, 539, 680, 141, 628, 349, 89, 742, 712, 292, 770, 740, 557, 84, 988, 46, 734, 977, 595, 362, 134, 385, 310, 757, 235, 6, 555, 977, 103, 853, 433, 706, 988, 17, 873, 686, 148, 138, 277, 401, 665, 340, 202, 13, 573, 814, 791, 409, 571, 314, 641, 462, 960, 591, 799, 97, 227, 207, 380, 351, 840, 175, 74, 362, 460, 675, 478, 172, 684, 373, 744, 263, 929, 973, 502, 23, 762, 275, 419, 687, 274, 369, 21, 865, 673, 586, 609, 458, 286, 481, 187, 630, 600, 446, 340, 508, 814, 480, 899, 447, 580, 322, 55, 38, 297, 370, 291, 505, 347, 796, 171, 779, 120, 815, 506, 329, 559, 347, 904, 782, 209, 195, 39, 479, 433, 428, 230, 349, 549, 869, 93, 946, 119, 466, 83, 23, 538, 849, 719, 772, 340, 569, 177, 768, 373, 329, 706, 640, 113, 59, 30, 749, 866, 790, 474, 490, 598, 140, 92, 330, 397, 636, 450, 394, 374, 295, 59, 214, 903, 559, 667, 236, 690, 241, 751, 850, 95, 101, 580, 947, 503, 522, 176, 514, 323, 108, 330, 337, 339, 73, 611, 689, 764, 57, 938, 760, 291, 336, 860, 671, 865, 423, 196, 179, 695, 769, 5, 508, 205, 585, 203, 347, 291, 814, 297, 696, 212, 950, 816, 165, 916, 671, 38, 264, 411, 268, 490, 471, 34, 444, 563, 137, 123, 327, 249, 773, 645, 515, 696, 942, 788, 511, 772, 709, 390, 203, 283, 623, 355, 902, 844, 242, 880, 53, 665, 534, 388, 902, 638, 867, 573, 337, 227, 893, 840, 569, 598, 354, 735, 595, 342, 742, 658, 134, 877, 770, 289, 301, 376, 812, 637, 395, 599},
{847, 603, 982, 569, 932, 221, 963, 404, 910, 528, 381, 942, 880, 151, 546, 48, 933, 210, 480, 569, 819, 162, 738, 8, 459, 510, 486, 842, 718, 125, 26, 366, 424, 59, 97, 584, 392, 344, 958, 436, 143, 258, 627, 129, 61, 899, 698, 882, 980, 774, 839, 726, 578, 242, 398, 315, 481, 332, 556, 886, 715, 442, 126, 604, 968, 843, 378, 534, 147, 787, 277, 395, 891, 200, 98, 73, 32, 642, 699, 568, 433, 243, 647, 734, 347, 747, 976, 631, 153, 751, 641, 824, 341, 388, 574, 276, 680, 465, 873, 716, 786, 108, 819, 596, 732, 462, 322, 722, 893, 892, 903, 705, 974, 442, 522, 201, 52, 990, 384, 725, 484, 699, 367, 502, 783, 813, 871, 415, 854, 859, 676, 632, 557, 576, 881, 892, 195, 667, 124, 736, 358, 618, 34, 221, 550, 368, 335, 767, 146, 559, 80, 819, 511, 507, 262, 961, 620, 740, 450, 958, 30, 182, 144, 970, 912, 611, 279, 815, 717, 37, 653, 771, 116, 988, 125, 828, 141, 585, 49, 722, 783, 373, 832, 350, 880, 626, 423, 362, 809, 736, 245, 820, 382, 821, 373, 832, 316, 462, 729, 959, 860, 736, 680, 33, 452, 372, 717, 722, 779, 883, 824, 856, 250, 996, 718, 982, 679, 585, 424, 149, 929, 531, 512, 212, 372, 692, 923, 223, 292, 147, 485, 625, 761, 467, 124, 61, 109, 583, 300, 528, 825, 179, 365, 566, 636, 197, 381, 869, 523, 214, 476, 473, 664, 897, 895, 224, 638, 751, 792, 771, 728, 634, 207, 699, 842, 303, 840, 781, 398, 378, 999, 505, 483, 667, 515, 215, 764, 752, 535, 170, 881, 106, 841, 857, 545, 763, 741, 647, 144, 785, 636, 722, 429, 279, 99, 800, 772, 785, 662, 796, 569, 203, 525, 996, 575, 229, 113, 732, 369, 515, 719, 806, 669, 334, 493, 118, 942, 593},
{670, 50, 572, 432, 245, 162, 911, 505, 287, 660, 667, 261, 680, 928, 421, 193, 360, 125, 557, 83, 83, 481, 517, 716, 302, 481, 75, 418, 26, 534, 300, 2, 389, 101, 972, 463, 267, 499, 467, 744, 449, 764, 558, 474, 782, 17, 166, 414, 206, 750, 794, 683, 789, 352, 294, 532, 739, 935, 643, 536, 815, 263, 628, 633, 764, 147, 654, 310, 182, 200, 452, 615, 692, 241, 89, 408, 440, 955, 546, 367, 671, 662, 79, 884, 632, 130, 719, 884, 75, 467, 610, 997, 436, 14, 241, 280, 136, 37, 335, 843, 524, 767, 846, 363, 687, 994, 481, 372, 740, 996, 196, 727, 219, 38, 399, 332, 899, 94, 933, 509, 699, 687, 486, 951, 312, 961, 746, 251, 884, 197, 531, 404, 356, 971, 56, 539, 45, 100, 741, 350, 676, 283, 256, 348, 352, 134, 964, 126, 859, 876, 619, 262, 353, 538, 885, 359, 639, 920, 284, 4, 249, 955, 211, 74, 991, 334, 959, 940, 945, 432, 117, 581, 683, 652, 239, 503, 64, 244, 473, 717, 116, 569, 677, 675, 378, 554, 614, 203, 538, 760, 19, 5, 397, 121, 682, 211, 972, 856, 214, 792, 25, 560, 804, 411, 422, 676, 143, 387, 523, 895, 632, 65, 202, 82, 159, 772, 230, 372, 1, 958, 468, 78, 872, 861, 738, 800, 742, 226, 288, 5, 805, 180, 494, 882, 907, 373, 816, 952, 815, 860, 22, 298, 927, 39, 431, 741, 436, 126, 226, 499, 479, 307, 889, 110, 522, 687, 492, 482, 75, 610, 849, 937, 850, 737, 529, 16, 648, 536, 339, 653, 569, 446, 165, 49, 648, 70, 997, 160, 632, 164, 555, 319, 420, 101, 173, 909, 631, 728, 510, 359, 890, 215, 218, 989, 649, 580, 894, 428, 820, 93, 550, 317, 43, 580, 313, 78, 152, 60, 319, 328, 298, 734, 529, 360, 217, 583, 761, 763, 345},
{233, 335, 899, 824, 775, 572, 403, 983, 491, 825, 334, 499, 200, 877, 891, 321, 105, 275, 849, 390, 526, 641, 984, 338, 912, 89, 804, 619, 847, 580, 854, 24, 573, 527, 677, 86, 695, 934, 309, 675, 350, 158, 827, 2, 70, 660, 30, 291, 16, 249, 816, 675, 14, 884, 211, 188, 59, 559, 255, 312, 559, 701, 191, 240, 619, 223, 444, 846, 73, 647, 957, 381, 826, 706, 270, 91, 311, 429, 633, 265, 462, 19, 112, 703, 741, 740, 296, 240, 131, 654, 743, 750, 918, 250, 764, 10, 361, 960, 458, 891, 974, 92, 201, 646, 308, 898, 929, 436, 520, 446, 643, 838, 992, 392, 509, 820, 511, 25, 837, 521, 244, 732, 992, 246, 878, 568, 979, 287, 778, 742, 56, 512, 971, 665, 224, 212, 87, 650, 865, 321, 120, 487, 90, 7, 50, 893, 614, 551, 854, 272, 104, 619, 476, 301, 936, 294, 606, 628, 314, 699, 965, 352, 475, 655, 913, 2, 527, 558, 793, 496, 73, 600, 454, 882, 382, 529, 720, 710, 321, 360, 443, 586, 634, 859, 931, 768, 474, 160, 203, 689, 244, 540, 502, 924, 938, 312, 953, 449, 154, 711, 84, 973, 859, 909, 124, 798, 852, 544, 732, 879, 508, 677, 737, 738, 99, 733, 50, 454, 486, 713, 671, 209, 408, 8, 72, 762, 971, 168, 835, 789, 177, 295, 569, 246, 495, 122, 583, 778, 552, 429, 697, 734, 989, 171, 892, 515, 405, 570, 165, 839, 99, 507, 125, 11, 30, 693, 343, 403, 977, 500, 413, 216, 429, 829, 9, 988, 91, 55, 974, 523, 295, 923, 616, 596, 719, 261, 907, 321, 54, 470, 312, 75, 195, 116, 259, 685, 585, 319, 82, 935, 70, 319, 433, 552, 479, 287, 732, 516, 740, 431, 225, 932, 946, 482, 617, 714, 236, 895, 34, 20, 743, 477, 294, 734, 176, 711, 66, 261, 720, 730},
{530, 569, 139, 763, 565, 731, 871, 890, 337, 163, 908, 85, 383, 389, 978, 898, 957, 461, 363, 568, 426, 41, 232, 8, 982, 817, 976, 904, 799, 108, 425, 133, 23, 449, 181, 751, 675, 514, 601, 167, 614, 908, 64, 421, 211, 292, 251, 164, 271, 772, 164, 592, 46, 723, 436, 524, 883, 9, 327, 820, 190, 103, 445, 582, 865, 726, 874, 868, 356, 466, 849, 249, 736, 267, 573, 122, 26, 848, 65, 585, 64, 843, 139, 616, 812, 913, 794, 466, 946, 180, 262, 438, 914, 40, 956, 725, 452, 872, 404, 519, 707, 181, 960, 426, 691, 408, 835, 105, 790, 105, 449, 144, 461, 65, 674, 398, 13, 820, 869, 423, 621, 146, 890, 167, 306, 290, 483, 786, 638, 250, 534, 321, 363, 751, 680, 945, 968, 541, 670, 731, 453, 234, 713, 117, 204, 223, 746, 823, 945, 105, 206, 566, 167, 667, 401, 684, 327, 715, 62, 808, 364, 925, 937, 745, 767, 497, 629, 69, 491, 544, 953, 267, 539, 76, 232, 934, 900, 933, 866, 178, 832, 235, 436, 318, 217, 709, 332, 19, 776, 825, 669, 140, 525, 740, 768, 22, 705, 935, 42, 365, 801, 844, 508, 584, 992, 916, 495, 301, 514, 344, 287, 666, 969, 84, 638, 287, 582, 943, 76, 878, 762, 195, 882, 179, 97, 629, 486, 275, 83, 7, 740, 271, 496, 545, 241, 124, 265, 529, 399, 553, 123, 65, 445, 185, 126, 776, 940, 436, 316, 503, 648, 240, 418, 116, 803, 356, 501, 183, 933, 924, 948, 543, 373, 888, 910, 811, 530, 105, 658, 458, 794, 279, 902, 372, 670, 339, 204, 787, 380, 518, 20, 988, 698, 177, 861, 519, 226, 380, 236, 469, 661, 331, 781, 999, 891, 37, 53, 495, 861, 978, 912, 557, 273, 177, 387, 644, 127, 716, 137, 292, 8, 746, 404, 721, 773, 945, 417, 128, 55, 721, 741},
{99, 501, 690, 11, 424, 285, 554, 788, 15, 718, 138, 53, 771, 217, 175, 956, 54, 22, 407, 47, 766, 243, 721, 98, 254, 827, 316, 79, 870, 973, 357, 524, 544, 394, 177, 799, 679, 558, 850, 276, 487, 719, 876, 472, 180, 95, 794, 586, 513, 48, 771, 643, 829, 485, 612, 709, 114, 986, 157, 227, 544, 366, 753, 530, 705, 462, 344, 69, 919, 965, 709, 648, 111, 3, 596, 279, 276, 996, 760, 847, 865, 88, 464, 880, 350, 964, 580, 134, 820, 563, 267, 593, 723, 484, 112, 765, 729, 337, 764, 782, 311, 492, 339, 953, 786, 866, 264, 883, 504, 439, 869, 150, 326, 166, 702, 860, 788, 852, 455, 114, 133, 316, 459, 479, 921, 865, 852, 169, 74, 733, 930, 466, 9, 584, 672, 332, 6, 660, 121, 841, 50, 400, 104, 240, 177, 643, 787, 982, 798, 617, 663, 50, 556, 963, 892, 218, 4, 4, 359, 733, 827, 273, 395, 995, 378, 132, 922, 458, 977, 913, 640, 943, 872, 617, 992, 951, 705, 672, 874, 351, 77, 628, 403, 57, 97, 947, 656, 890, 844, 267, 962, 878, 279, 562, 172, 616, 471, 699, 382, 217, 8, 730, 735, 556, 992, 133, 231, 197, 403, 896, 995, 426, 459, 15, 74, 278, 267, 445, 603, 297, 245, 68, 185, 74, 728, 518, 375, 229, 745, 8, 475, 647, 130, 427, 218, 212, 28, 83, 538, 218, 399, 396, 325, 927, 270, 772, 950, 441, 342, 629, 430, 165, 86, 279, 225, 707, 561, 938, 123, 912, 43, 665, 60, 121, 982, 416, 505, 453, 976, 746, 778, 83, 163, 894, 704, 989, 922, 117, 113, 669, 858, 188, 13, 620, 744, 908, 701, 213, 562, 333, 672, 704, 808, 149, 977, 775, 944, 346, 577, 917, 262, 837, 321, 431, 436, 206, 412, 560, 765, 96, 616, 540, 379, 79, 990, 902, 755, 13, 636, 437, 483, 994},
{826, 629, 568, 37, 860, 206, 510, 489, 190, 686, 6, 47, 653, 473, 433, 933, 182, 61, 181, 438, 927, 397, 489, 547, 596, 327, 719, 865, 701, 266, 859, 325, 570, 978, 651, 489, 177, 393, 920, 379, 324, 865, 577, 839, 250, 237, 281, 423, 477, 283, 937, 665, 595, 906, 55, 387, 740, 506, 465, 382, 702, 491, 80, 413, 972, 834, 161, 978, 535, 890, 43, 699, 901, 437, 370, 496, 684, 63, 708, 960, 7, 546, 782, 448, 177, 866, 727, 455, 344, 809, 461, 784, 320, 938, 702, 855, 327, 853, 204, 273, 238, 260, 501, 419, 741, 342, 842, 409, 991, 352, 993, 224, 500, 99, 297, 211, 418, 271, 699, 430, 923, 86, 478, 519, 97, 836, 23, 835, 551, 291, 358, 666, 81, 753, 57, 182, 763, 824, 802, 623, 284, 564, 153, 981, 722, 774, 988, 987, 677, 616, 707, 829, 420, 623, 496, 429, 682, 439, 887, 446, 830, 282, 400, 461, 405, 248, 238, 941, 451, 22, 944, 633, 617, 466, 384, 46, 751, 889, 644, 530, 605, 458, 290, 269, 286, 369, 869, 172, 316, 895, 769, 266, 512, 365, 276, 698, 401, 435, 217, 856, 560, 805, 636, 426, 100, 624, 759, 468, 493, 404, 928, 664, 69, 228, 288, 978, 816, 391, 737, 887, 569, 378, 76, 185, 253, 269, 328, 140, 656, 248, 943, 417, 70, 872, 951, 774, 265, 156, 167, 995, 455, 318, 228, 895, 328, 286, 603, 560, 731, 600, 681, 117, 334, 447, 724, 480, 416, 931, 766, 499, 959, 551, 523, 841, 399, 86, 960, 781, 674, 722, 504, 763, 764, 329, 756, 267, 464, 233, 203, 7, 11, 709, 642, 972, 66, 679, 952, 136, 711, 784, 394, 922, 356, 75, 847, 711, 859, 65, 263, 674, 794, 780, 120, 253, 439, 734, 898, 462, 57, 472, 374, 959, 975, 453, 77, 558, 265, 536, 392, 427, 97, 280, 576},
{723, 440, 595, 473, 858, 366, 25, 775, 848, 99, 78, 506, 487, 912, 585, 809, 167, 109, 17, 225, 223, 622, 54, 371, 636, 223, 486, 381, 737, 919, 667, 471, 360, 916, 375, 754, 500, 391, 872, 767, 161, 442, 398, 240, 482, 795, 87, 267, 671, 225, 546, 448, 529, 205, 935, 500, 544, 9, 378, 535, 640, 314, 24, 498, 668, 397, 843, 218, 633, 178, 541, 149, 476, 669, 561, 178, 944, 906, 256, 762, 727, 36, 724, 316, 546, 68, 689, 939, 369, 710, 64, 562, 218, 845, 529, 64, 344, 453, 533, 198, 666, 195, 585, 4, 457, 481, 666, 896, 229, 534, 822, 859, 657, 879, 750, 942, 146, 730, 292, 828, 362, 918, 266, 331, 641, 409, 2, 532, 674, 917, 265, 714, 310, 844, 20, 376, 610, 547, 594, 387, 530, 961, 381, 782, 707, 723, 171, 784, 910, 218, 570, 378, 610, 474, 708, 189, 993, 370, 665, 454, 516, 436, 579, 600, 712, 420, 412, 309, 582, 871, 749, 993, 338, 239, 796, 275, 656, 342, 944, 399, 903, 646, 915, 533, 953, 449, 477, 526, 346, 963, 188, 37, 533, 273, 424, 884, 850, 318, 220, 129, 699, 408, 62, 609, 135, 198, 857, 689, 670, 747, 743, 445, 673, 53, 252, 885, 153, 393, 653, 599, 82, 939, 954, 867, 672, 354, 90, 423, 164, 490, 385, 981, 763, 922, 227, 119, 349, 727, 179, 341, 409, 861, 519, 941, 523, 483, 250, 831, 314, 816, 179, 594, 472, 455, 597, 889, 896, 578, 390, 774, 444, 156, 176, 618, 98, 106, 212, 88, 551, 292, 354, 106, 386, 444, 309, 770, 19, 321, 793, 987, 550, 933, 977, 941, 502, 224, 772, 622, 167, 363, 101, 331, 974, 759, 271, 434, 838, 942, 994, 707, 908, 703, 359, 268, 569, 271, 297, 432, 754, 869, 697, 847, 905, 652, 333, 889, 944, 910, 191, 641, 676, 447, 641, 703},
{915, 174, 109, 749, 478, 323, 567, 984, 882, 138, 208, 620, 243, 559, 121, 51, 366, 191, 667, 693, 521, 809, 505, 319, 686, 774, 893, 292, 325, 946, 10, 342, 939, 167, 473, 350, 661, 904, 178, 190, 179, 413, 852, 809, 110, 645, 436, 627, 789, 182, 524, 761, 58, 664, 605, 808, 301, 567, 781, 673, 458, 650, 969, 425, 125, 102, 332, 274, 231, 230, 830, 541, 946, 501, 338, 938, 650, 910, 723, 547, 776, 911, 663, 648, 358, 633, 718, 954, 879, 676, 396, 854, 842, 574, 482, 983, 91, 898, 937, 842, 514, 91, 32, 156, 235, 306, 207, 414, 727, 957, 346, 333, 659, 204, 770, 973, 375, 286, 272, 939, 100, 524, 942, 352, 902, 765, 392, 285, 382, 241, 155, 951, 875, 141, 787, 234, 683, 676, 149, 44, 445, 40, 861, 651, 358, 468, 792, 293, 331, 576, 660, 345, 554, 209, 573, 852, 196, 351, 361, 456, 112, 35, 64, 606, 505, 759, 850, 506, 479, 684, 908, 386, 251, 733, 582, 564, 648, 783, 149, 256, 145, 338, 119, 224, 325, 402, 912, 187, 153, 841, 52, 371, 845, 119, 790, 704, 466, 168, 217, 927, 557, 140, 436, 348, 298, 868, 384, 39, 671, 235, 199, 21, 97, 22, 842, 416, 809, 497, 836, 552, 48, 681, 567, 778, 740, 216, 606, 77, 982, 793, 873, 612, 46, 365, 291, 37, 46, 706, 763, 696, 697, 489, 958, 910, 744, 683, 359, 112, 793, 998, 501, 986, 241, 51, 128, 677, 933, 148, 261, 769, 992, 881, 794, 35, 969, 211, 295, 852, 121, 361, 150, 825, 138, 635, 63, 330, 101, 226, 152, 677, 779, 174, 620, 93, 651, 918, 12, 953, 177, 290, 582, 585, 935, 362, 190, 467, 203, 333, 436, 843, 421, 480, 467, 627, 808, 262, 986, 922, 43, 883, 530, 714, 560, 943, 994, 14, 495, 344, 738, 253, 728, 281, 307, 862, 795},
{962, 1, 671, 662, 706, 23, 302, 473, 171, 937, 726, 443, 795, 506, 983, 988, 967, 753, 383, 43, 31, 291, 649, 261, 27, 500, 119, 487, 976, 180, 517, 402, 573, 647, 846, 764, 399, 85, 609, 38, 177, 145, 926, 455, 78, 417, 121, 811, 851, 402, 965, 325, 354, 67, 141, 944, 110, 849, 364, 382, 665, 289, 326, 964, 860, 26, 813, 122, 593, 30, 340, 966, 304, 346, 211, 948, 204, 499, 164, 10, 211, 1, 685, 22, 677, 53, 585, 531, 232, 635, 706, 12, 517, 661, 464, 876, 132, 755, 464, 494, 854, 542, 610, 310, 100, 25, 999, 983, 600, 734, 331, 127, 514, 887, 774, 838, 497, 678, 12, 725, 828, 182, 645, 526, 301, 98, 292, 750, 450, 675, 449, 987, 650, 742, 670, 671, 774, 706, 655, 89, 363, 769, 630, 421, 758, 341, 789, 397, 197, 851, 607, 932, 682, 728, 595, 771, 335, 271, 386, 715, 996, 594, 125, 509, 127, 583, 760, 816, 385, 17, 237, 24, 837, 634, 533, 781, 462, 944, 182, 310, 436, 987, 190, 490, 729, 113, 261, 672, 698, 59, 834, 964, 686, 281, 741, 459, 122, 509, 206, 525, 256, 986, 505, 788, 450, 705, 873, 898, 905, 218, 112, 507, 801, 286, 928, 149, 105, 703, 271, 873, 689, 141, 762, 542, 33, 719, 887, 690, 441, 357, 764, 703, 661, 618, 175, 891, 796, 923, 18, 684, 612, 483, 519, 810, 696, 258, 321, 807, 448, 587, 56, 623, 530, 836, 127, 394, 261, 600, 181, 699, 373, 509, 230, 735, 744, 693, 426, 858, 969, 261, 272, 938, 100, 984, 437, 758, 491, 507, 415, 489, 455, 2, 980, 915, 331, 198, 748, 655, 673, 70, 213, 86, 467, 298, 274, 93, 703, 826, 651, 997, 145, 433, 543, 272, 858, 271, 562, 682, 915, 757, 285, 577, 679, 22, 718, 876, 292, 347, 599, 200, 261, 727, 739, 244, 548, 657},
{550, 189, 210, 784, 465, 410, 412, 867, 251, 269, 598, 804, 71, 31, 705, 131, 751, 292, 582, 491, 888, 398, 165, 70, 336, 431, 571, 870, 126, 320, 986, 29, 42, 486, 91, 38, 957, 255, 860, 917, 488, 912, 731, 842, 687, 943, 500, 674, 357, 428, 836, 211, 929, 32, 956, 655, 92, 328, 820, 996, 34, 406, 224, 510, 657, 855, 254, 573, 202, 258, 909, 333, 433, 250, 118, 556, 1, 81, 984, 141, 590, 330, 879, 370, 233, 122, 894, 988, 507, 736, 259, 544, 369, 995, 539, 266, 83, 176, 862, 954, 3, 479, 892, 968, 12, 312, 52, 403, 32, 694, 286, 15, 358, 130, 708, 234, 523, 196, 629, 889, 16, 914, 781, 892, 473, 682, 71, 172, 878, 198, 765, 631, 907, 323, 890, 754, 803, 284, 499, 748, 49, 953, 621, 794, 711, 221, 941, 75, 484, 601, 691, 703, 387, 327, 799, 611, 562, 106, 86, 727, 827, 644, 172, 497, 461, 801, 814, 912, 209, 921, 590, 735, 641, 523, 190, 515, 815, 996, 112, 360, 643, 393, 205, 143, 504, 690, 347, 952, 423, 159, 503, 201, 534, 573, 578, 700, 703, 47, 738, 421, 855, 222, 357, 414, 30, 384, 322, 531, 178, 827, 223, 186, 497, 470, 841, 379, 407, 262, 450, 601, 353, 433, 662, 40, 277, 975, 946, 703, 933, 73, 483, 727, 265, 343, 721, 106, 636, 913, 869, 543, 118, 295, 550, 957, 895, 964, 28, 380, 572, 389, 738, 673, 356, 919, 341, 518, 98, 642, 128, 593, 710, 789, 447, 719, 756, 768, 738, 28, 904, 206, 857, 877, 493, 670, 691, 333, 669, 881, 405, 507, 454, 302, 312, 957, 579, 961, 34, 643, 162, 260, 542, 639, 106, 266, 693, 938, 614, 732, 80, 169, 362, 651, 376, 11, 670, 648, 870, 397, 510, 981, 540, 347, 271, 154, 852, 418, 11, 450, 462, 309, 346, 775, 104, 105, 212, 241, 277},
{44, 496, 886, 779, 406, 941, 756, 724, 353, 753, 328, 486, 103, 100, 921, 875, 810, 34, 321, 989, 940, 420, 281, 354, 696, 97, 998, 398, 304, 896, 888, 834, 531, 96, 214, 217, 878, 547, 227, 812, 273, 53, 445, 916, 955, 491, 645, 945, 471, 844, 940, 915, 325, 549, 47, 460, 932, 521, 459, 110, 914, 807, 826, 410, 698, 50, 206, 362, 612, 868, 284, 798, 377, 809, 848, 572, 945, 738, 13, 829, 152, 420, 711, 247, 539, 555, 993, 822, 986, 738, 514, 697, 535, 624, 384, 546, 856, 106, 277, 258, 389, 456, 247, 990, 40, 173, 241, 191, 731, 777, 698, 861, 773, 887, 928, 143, 210, 707, 218, 301, 829, 481, 701, 320, 495, 568, 111, 608, 803, 529, 432, 767, 868, 30, 353, 989, 177, 419, 152, 398, 78, 552, 319, 588, 437, 815, 788, 663, 373, 322, 119, 336, 832, 939, 351, 17, 914, 154, 541, 375, 534, 761, 189, 557, 963, 53, 836, 85, 279, 427, 173, 503, 539, 398, 828, 977, 771, 500, 922, 391, 472, 959, 96, 977, 423, 861, 437, 131, 16, 195, 207, 867, 208, 340, 744, 337, 458, 543, 252, 901, 687, 403, 438, 553, 394, 671, 153, 873, 520, 505, 199, 289, 601, 866, 501, 149, 989, 905, 686, 988, 679, 59, 898, 432, 363, 50, 397, 353, 880, 149, 48, 292, 124, 853, 356, 634, 826, 627, 76, 709, 385, 444, 760, 818, 6, 667, 839, 170, 32, 230, 935, 823, 254, 172, 181, 76, 386, 341, 212, 123, 630, 457, 396, 486, 467, 805, 592, 422, 368, 552, 382, 460, 116, 18, 325, 302, 827, 307, 216, 527, 562, 352, 735, 955, 620, 775, 152, 48, 224, 987, 939, 428, 341, 566, 264, 484, 781, 287, 298, 985, 573, 141, 238, 856, 847, 299, 722, 537, 101, 242, 42, 895, 768, 239, 209, 216, 495, 926, 459, 670, 351, 998, 191, 549, 511, 903, 739, 701},
{595, 44, 592, 839, 962, 131, 836, 836, 699, 274, 693, 664, 4, 885, 975, 407, 903, 661, 157, 625, 994, 759, 558, 426, 986, 777, 847, 760, 370, 290, 608, 865, 433, 519, 298, 242, 200, 175, 277, 259, 605, 620, 931, 274, 351, 296, 135, 171, 452, 787, 414, 320, 443, 983, 232, 289, 558, 539, 738, 65, 6, 259, 176, 163, 585, 72, 915, 750, 533, 979, 711, 857, 415, 749, 379, 778, 343, 123, 536, 48, 525, 37, 457, 728, 430, 643, 346, 306, 418, 963, 552, 186, 730, 624, 348, 631, 147, 453, 860, 23, 474, 679, 725, 452, 228, 91, 766, 21, 562, 799, 800, 664, 515, 174, 261, 997, 125, 120, 864, 433, 811, 112, 13, 803, 706, 296, 947, 806, 286, 530, 942, 864, 735, 466, 979, 404, 984, 628, 411, 144, 219, 980, 102, 691, 2, 660, 401, 672, 831, 388, 115, 613, 88, 587, 293, 47, 820, 350, 300, 619, 779, 258, 97, 538, 416, 473, 94, 325, 313, 684, 260, 697, 653, 241, 368, 355, 901, 252, 418, 617, 799, 522, 298, 118, 171, 942, 685, 234, 800, 344, 51, 540, 789, 905, 365, 309, 433, 902, 789, 37, 610, 959, 183, 11, 77, 13, 732, 217, 877, 848, 416, 201, 284, 447, 251, 119, 272, 344, 522, 855, 589, 882, 242, 972, 886, 527, 129, 251, 209, 405, 274, 774, 394, 815, 514, 801, 570, 779, 231, 187, 983, 590, 923, 712, 857, 945, 461, 532, 857, 485, 342, 821, 970, 440, 641, 901, 337, 687, 590, 293, 601, 710, 878, 650, 882, 813, 852, 42, 335, 521, 753, 797, 575, 209, 996, 49, 965, 914, 326, 93, 862, 742, 310, 945, 436, 423, 313, 788, 624, 435, 503, 526, 96, 506, 947, 360, 844, 499, 100, 71, 185, 402, 245, 724, 458, 624, 582, 633, 737, 866, 669, 694, 159, 587, 889, 685, 309, 491, 444, 714, 229, 523, 153, 754, 233, 570, 974, 138, 685},
{438, 755, 961, 297, 716, 154, 556, 297, 795, 114, 598, 47, 687, 504, 964, 271, 252, 755, 132, 118, 121, 421, 780, 658, 888, 590, 292, 297, 147, 992, 966, 787, 505, 464, 134, 206, 80, 136, 813, 263, 816, 379, 207, 820, 639, 41, 107, 339, 637, 967, 248, 217, 426, 155, 746, 724, 373, 112, 23, 248, 581, 208, 38, 105, 415, 805, 218, 54, 870, 1, 221, 937, 267, 618, 534, 600, 618, 952, 976, 337, 471, 386, 361, 659, 224, 652, 931, 72, 692, 993, 693, 908, 194, 889, 454, 997, 515, 341, 170, 83, 923, 911, 231, 472, 810, 883, 391, 348, 655, 890, 415, 539, 726, 346, 898, 316, 353, 848, 359, 953, 668, 467, 473, 396, 417, 509, 194, 331, 816, 904, 636, 389, 472, 839, 785, 983, 41, 648, 501, 508, 674, 244, 838, 233, 275, 570, 376, 253, 240, 674, 152, 265, 695, 957, 748, 810, 167, 126, 314, 809, 281, 150, 565, 913, 341, 259, 346, 212, 585, 657, 931, 318, 495, 150, 61, 689, 802, 342, 643, 349, 716, 387, 175, 818, 468, 558, 182, 166, 481, 24, 413, 570, 359, 344, 75, 690, 388, 104, 158, 424, 449, 38, 761, 365, 90, 762, 387, 372, 971, 919, 365, 171, 90, 144, 933, 871, 952, 768, 7, 576, 392, 603, 332, 25, 776, 410, 565, 348, 196, 959, 774, 562, 616, 654, 19, 399, 87, 761, 939, 411, 827, 214, 767, 93, 453, 823, 721, 904, 613, 472, 585, 689, 63, 513, 121, 946, 565, 220, 84, 850, 15, 520, 825, 655, 897, 717, 847, 388, 526, 114, 243, 311, 464, 696, 621, 669, 263, 110, 10, 654, 881, 167, 204, 373, 162, 45, 238, 816, 357, 141, 937, 499, 955, 287, 37, 463, 30, 636, 943, 831, 863, 92, 58, 924, 932, 578, 487, 259, 148, 808, 97, 385, 884, 451, 131, 648, 496, 762, 15, 410, 912, 828, 559, 176, 434, 516, 503, 387, 21, 127},
{222, 318, 226, 528, 463, 661, 402, 221, 199, 893, 979, 427, 5, 420, 416, 750, 916, 873, 889, 399, 362, 637, 914, 270, 621, 844, 857, 421, 210, 621, 755, 571, 752, 335, 917, 335, 189, 957, 574, 809, 607, 403, 189, 996, 622, 922, 159, 300, 940, 181, 313, 986, 724, 640, 996, 80, 399, 294, 574, 622, 797, 551, 836, 617, 930, 330, 172, 265, 199, 990, 340, 274, 568, 784, 337, 153, 100, 919, 163, 380, 221, 159, 264, 249, 295, 125, 36, 42, 387, 136, 60, 847, 588, 416, 688, 44, 906, 18, 158, 921, 526, 645, 693, 451, 179, 828, 926, 454, 498, 584, 563, 789, 461, 787, 399, 238, 467, 957, 683, 902, 161, 56, 362, 883, 853, 204, 902, 857, 262, 940, 238, 25, 353, 731, 891, 509, 273, 986, 475, 961, 680, 759, 560, 586, 351, 625, 410, 218, 544, 7, 155, 419, 494, 303, 796, 770, 337, 808, 840, 659, 935, 278, 466, 921, 345, 445, 866, 615, 153, 497, 827, 63, 461, 740, 635, 63, 123, 240, 155, 809, 699, 227, 265, 649, 718, 446, 881, 261, 22, 433, 477, 243, 400, 907, 350, 351, 236, 88, 887, 853, 585, 753, 727, 545, 997, 301, 31, 978, 348, 893, 39, 373, 184, 8, 712, 495, 343, 361, 537, 513, 152, 242, 502, 454, 93, 712, 851, 453, 655, 34, 468, 395, 38, 929, 631, 926, 439, 973, 473, 44, 994, 481, 645, 645, 781, 760, 618, 501, 915, 487, 526, 44, 505, 267, 668, 298, 85, 144, 641, 36, 219, 941, 531, 916, 165, 851, 779, 24, 820, 575, 142, 647, 724, 710, 611, 632, 519, 758, 311, 893, 137, 317, 143, 926, 910, 556, 391, 296, 15, 25, 608, 86, 857, 222, 819, 270, 555, 117, 509, 781, 209, 987, 898, 841, 444, 539, 761, 742, 626, 230, 362, 877, 225, 147, 161, 247, 21, 579, 595, 88, 263, 618, 608, 530, 397, 755, 556, 398, 712, 469, 824},
{347, 98, 183, 756, 571, 113, 857, 487, 175, 738, 697, 872, 179, 530, 75, 20, 796, 332, 884, 815, 293, 377, 927, 474, 251, 399, 855, 354, 508, 299, 422, 214, 397, 54, 506, 608, 158, 787, 427, 374, 560, 359, 568, 10, 840, 401, 244, 274, 27, 454, 994, 544, 616, 750, 264, 266, 347, 237, 484, 380, 488, 625, 125, 718, 706, 610, 202, 196, 27, 928, 58, 87, 843, 567, 978, 791, 263, 294, 344, 278, 248, 632, 567, 827, 203, 547, 52, 780, 645, 433, 721, 765, 576, 387, 491, 246, 983, 416, 189, 335, 692, 949, 52, 492, 425, 973, 880, 125, 501, 142, 353, 136, 81, 515, 793, 120, 243, 882, 886, 305, 467, 240, 477, 264, 281, 656, 567, 140, 935, 626, 95, 390, 988, 23, 880, 44, 548, 929, 382, 93, 807, 965, 542, 886, 154, 180, 54, 378, 833, 245, 850, 617, 638, 472, 458, 167, 546, 120, 156, 998, 601, 554, 529, 996, 550, 123, 123, 413, 937, 986, 344, 485, 426, 740, 714, 952, 56, 397, 821, 409, 80, 175, 66, 248, 749, 594, 385, 463, 176, 569, 686, 740, 921, 561, 615, 36, 542, 339, 648, 364, 681, 601, 213, 590, 634, 507, 705, 828, 537, 155, 813, 475, 453, 194, 509, 979, 675, 46, 458, 250, 498, 638, 340, 922, 565, 203, 766, 858, 645, 417, 53, 887, 377, 97, 119, 229, 43, 741, 134, 26, 956, 427, 395, 132, 400, 977, 66, 605, 332, 832, 70, 392, 287, 794, 419, 307, 6, 630, 713, 756, 285, 569, 344, 579, 514, 867, 212, 40, 131, 961, 392, 262, 982, 199, 235, 339, 196, 784, 846, 931, 689, 354, 774, 436, 929, 575, 969, 679, 847, 226, 786, 688, 112, 520, 870, 270, 111, 839, 254, 17, 47, 599, 898, 905, 547, 730, 206, 798, 51, 131, 739, 34, 41, 490, 503, 770, 846, 84, 653, 914, 396, 508, 440, 253, 735, 811, 514, 905, 608, 177, 461, 296},
{652, 109, 589, 669, 39, 81, 539, 560, 468, 722, 226, 760, 504, 929, 29, 37, 160, 718, 872, 296, 489, 271, 35, 911, 705, 353, 120, 676, 998, 242, 592, 189, 810, 335, 673, 549, 760, 878, 228, 867, 849, 624, 435, 488, 796, 757, 682, 788, 613, 171, 137, 82, 569, 982, 859, 464, 739, 225, 181, 397, 222, 800, 291, 471, 934, 123, 619, 19, 625, 343, 680, 254, 352, 692, 457, 129, 238, 286, 318, 407, 737, 659, 691, 324, 6, 429, 416, 767, 210, 727, 773, 140, 796, 481, 676, 916, 781, 189, 413, 474, 106, 552, 624, 898, 995, 248, 901, 381, 20, 138, 529, 258, 276, 423, 382, 931, 676, 612, 945, 718, 872, 684, 741, 107, 713, 485, 184, 87, 495, 227, 46, 919, 439, 964, 257, 216, 17, 8, 706, 237, 715, 581, 117, 104, 846, 456, 785, 993, 788, 891, 206, 466, 847, 997, 132, 768, 569, 540, 655, 363, 898, 280, 268, 918, 72, 192, 653, 713, 477, 255, 198, 738, 40, 108, 799, 768, 864, 500, 572, 343, 954, 382, 499, 894, 852, 442, 878, 237, 952, 112, 682, 236, 42, 350, 581, 777, 363, 15, 414, 81, 120, 271, 401, 976, 868, 270, 187, 42, 711, 285, 139, 372, 517, 601, 952, 343, 682, 723, 735, 900, 89, 862, 194, 837, 991, 263, 488, 994, 534, 658, 574, 548, 475, 12, 596, 355, 495, 764, 988, 846, 152, 12, 469, 107, 126, 361, 46, 578, 940, 777, 465, 300, 719, 353, 298, 732, 878, 783, 989, 949, 868, 309, 751, 476, 217, 30, 134, 86, 147, 761, 483, 646, 5, 99, 266, 517, 561, 914, 388, 20, 25, 321, 268, 261, 248, 10, 373, 950, 190, 978, 331, 845, 162, 887, 554, 212, 770, 658, 488, 951, 745, 491, 237, 110, 61, 168, 317, 89, 809, 354, 746, 213, 351, 657, 472, 273, 118, 326, 410, 273, 311, 835, 998, 903, 423, 68, 231, 181, 167, 431, 573, 306, 921},
{75, 61, 17, 253, 283, 119, 636, 389, 253, 327, 553, 841, 721, 463, 117, 461, 320, 600, 772, 326, 120, 967, 802, 823, 547, 574, 241, 150, 763, 294, 331, 276, 607, 238, 424, 73, 441, 749, 376, 924, 564, 301, 260, 653, 390, 873, 751, 976, 249, 180, 591, 55, 492, 200, 373, 897, 568, 79, 279, 536, 877, 366, 539, 893, 494, 977, 75, 242, 312, 990, 239, 972, 763, 582, 599, 160, 27, 12, 435, 74, 560, 516, 988, 349, 876, 389, 539, 993, 690, 336, 58, 814, 979, 365, 533, 103, 28, 143, 60, 630, 223, 698, 441, 98, 246, 857, 357, 183, 285, 552, 111, 258, 102, 452, 614, 637, 68, 959, 511, 971, 806, 695, 318, 9, 686, 46, 5, 495, 228, 205, 726, 425, 405, 426, 299, 195, 970, 863, 564, 474, 164, 465, 37, 768, 582, 896, 55, 720, 601, 312, 229, 158, 416, 165, 125, 781, 702, 893, 993, 180, 918, 468, 845, 548, 475, 297, 296, 70, 360, 915, 469, 445, 305, 207, 660, 464, 277, 663, 616, 811, 864, 321, 53, 541, 146, 562, 465, 789, 743, 938, 392, 302, 63, 529, 16, 328, 182, 125, 404, 257, 438, 687, 762, 152, 546, 147, 754, 967, 984, 563, 357, 830, 461, 84, 703, 223, 521, 920, 101, 294, 721, 814, 698, 804, 350, 999, 329, 415, 389, 787, 646, 101, 232, 236, 48, 521, 724, 259, 795, 44, 238, 746, 379, 951, 827, 913, 462, 121, 983, 144, 661, 12, 161, 68, 23, 438, 22, 464, 280, 953, 320, 848, 916, 79, 417, 283, 571, 839, 724, 52, 591, 244, 761, 290, 362, 396, 95, 591, 604, 915, 162, 903, 997, 226, 882, 717, 340, 26, 959, 702, 928, 1, 43, 427, 48, 377, 209, 742, 188, 477, 785, 756, 162, 794, 178, 40, 347, 471, 203, 859, 98, 255, 396, 798, 779, 142, 928, 63, 998, 977, 18, 152, 310, 192, 212, 324, 128, 713, 512, 497, 591, 871, 47, 758},
{870, 726, 965, 703, 777, 872, 267, 168, 542, 198, 504, 754, 340, 490, 740, 747, 472, 49, 603, 623, 95, 664, 56, 393, 68, 417, 313, 431, 782, 763, 354, 284, 803, 274, 671, 190, 781, 221, 190, 676, 363, 920, 804, 681, 780, 387, 580, 64, 366, 356, 511, 270, 502, 223, 618, 158, 416, 748, 329, 702, 797, 672, 310, 333, 399, 503, 360, 197, 708, 858, 528, 495, 253, 665, 384, 370, 315, 441, 216, 516, 671, 640, 10, 798, 460, 760, 245, 691, 433, 479, 899, 276, 678, 631, 576, 865, 326, 206, 332, 60, 917, 896, 604, 188, 864, 937, 623, 653, 869, 105, 839, 629, 269, 776, 168, 939, 16, 924, 326, 732, 401, 712, 136, 700, 699, 166, 423, 235, 617, 32, 75, 831, 810, 501, 870, 513, 753, 959, 962, 802, 932, 285, 252, 5, 687, 538, 444, 161, 999, 42, 282, 61, 195, 963, 313, 137, 835, 528, 535, 873, 47, 880, 473, 634, 122, 447, 525, 426, 569, 369, 922, 185, 651, 200, 282, 638, 105, 611, 513, 632, 932, 280, 805, 119, 100, 482, 517, 633, 494, 179, 58, 224, 760, 540, 267, 244, 451, 903, 378, 324, 498, 169, 380, 167, 182, 482, 470, 470, 603, 854, 356, 445, 189, 72, 349, 881, 876, 825, 542, 660, 480, 514, 904, 930, 157, 569, 757, 929, 50, 481, 960, 542, 957, 931, 82, 264, 287, 540, 989, 202, 678, 812, 588, 74, 407, 780, 865, 981, 84, 688, 33, 882, 227, 852, 305, 266, 13, 440, 769, 551, 859, 528, 892, 101, 534, 241, 418, 549, 185, 158, 826, 352, 988, 481, 44, 94, 154, 622, 795, 80, 637, 974, 880, 193, 263, 660, 609, 821, 871, 923, 856, 893, 796, 671, 496, 706, 183, 401, 444, 302, 650, 358, 207, 567, 364, 318, 608, 150, 828, 833, 309, 485, 636, 123, 870, 983, 941, 41, 336, 439, 663, 727, 757, 261, 288, 609, 661, 993, 660, 381, 149, 912, 358, 503, 270},
{182, 59, 502, 302, 165, 832, 89, 793, 31, 424, 684, 576, 681, 412, 458, 477, 396, 592, 385, 108, 317, 58, 160, 956, 23, 226, 19, 975, 38, 485, 657, 997, 24, 257, 454, 615, 814, 973, 171, 592, 196, 908, 144, 505, 523, 842, 724, 52, 841, 262, 391, 396, 174, 166, 551, 998, 31, 579, 467, 595, 2, 560, 187, 393, 482, 828, 591, 86, 237, 131, 889, 993, 474, 129, 999, 493, 584, 894, 227, 900, 477, 58, 592, 170, 736, 287, 967, 60, 426, 53, 897, 921, 449, 560, 621, 901, 809, 332, 346, 138, 998, 163, 251, 475, 997, 73, 83, 352, 55, 447, 411, 744, 495, 777, 819, 498, 290, 257, 341, 939, 34, 57, 448, 387, 250, 258, 757, 95, 682, 271, 424, 161, 314, 75, 876, 184, 410, 744, 140, 763, 773, 569, 516, 485, 763, 505, 783, 677, 344, 847, 399, 73, 595, 768, 426, 460, 652, 823, 17, 590, 15, 598, 322, 846, 508, 420, 670, 684, 986, 481, 650, 426, 998, 743, 548, 752, 255, 751, 204, 186, 718, 813, 952, 896, 514, 78, 756, 417, 686, 673, 51, 234, 15, 470, 85, 765, 735, 970, 739, 942, 11, 522, 907, 449, 442, 343, 517, 713, 739, 822, 206, 899, 890, 171, 447, 467, 855, 775, 680, 361, 815, 564, 599, 522, 495, 255, 321, 208, 940, 623, 564, 567, 388, 822, 341, 997, 547, 348, 919, 116, 711, 458, 949, 541, 579, 737, 752, 319, 588, 1, 709, 495, 840, 946, 596, 283, 430, 782, 467, 261, 80, 562, 413, 297, 527, 127, 94, 192, 14, 327, 465, 597, 580, 705, 523, 395, 593, 914, 204, 580, 88, 929, 822, 641, 57, 562, 523, 600, 770, 851, 296, 145, 583, 667, 16, 743, 455, 279, 844, 247, 578, 656, 63, 232, 101, 55, 77, 263, 913, 728, 903, 341, 877, 717, 918, 9, 651, 291, 23, 989, 497, 985, 685, 792, 72, 181, 480, 377, 194, 793, 884, 874, 44, 995, 48, 334},
{59, 815, 216, 669, 42, 114, 260, 264, 631, 694, 514, 219, 359, 250, 746, 827, 934, 438, 623, 687, 322, 614, 463, 768, 378, 676, 444, 921, 554, 8, 667, 512, 208, 745, 631, 325, 586, 449, 779, 449, 417, 804, 695, 572, 367, 146, 468, 28, 311, 444, 479, 941, 485, 909, 584, 76, 134, 485, 266, 274, 128, 339, 808, 966, 450, 933, 994, 829, 104, 344, 116, 547, 194, 300, 318, 572, 469, 866, 435, 965, 562, 727, 508, 634, 550, 853, 103, 785, 192, 650, 431, 993, 431, 834, 982, 42, 275, 929, 89, 633, 194, 675, 360, 128, 561, 684, 456, 692, 462, 336, 978, 657, 400, 257, 619, 387, 57, 733, 829, 701, 267, 44, 433, 719, 809, 21, 556, 32, 440, 121, 201, 242, 833, 871, 587, 289, 754, 899, 106, 398, 808, 610, 370, 187, 614, 248, 388, 206, 70, 255, 300, 182, 677, 793, 505, 313, 565, 821, 229, 229, 906, 364, 758, 678, 973, 453, 647, 523, 891, 776, 130, 417, 533, 227, 922, 379, 634, 419, 316, 556, 385, 698, 191, 634, 217, 353, 194, 748, 484, 536, 769, 227, 28, 867, 217, 188, 375, 814, 211, 834, 472, 720, 465, 261, 378, 802, 355, 732, 342, 498, 344, 701, 3, 330, 990, 248, 276, 816, 184, 266, 618, 61, 994, 468, 976, 317, 197, 195, 704, 260, 64, 97, 121, 658, 564, 993, 209, 882, 392, 590, 126, 975, 620, 284, 838, 66, 917, 986, 214, 490, 375, 761, 308, 364, 4, 56, 437, 257, 870, 517, 869, 293, 650, 674, 589, 228, 104, 255, 664, 38, 622, 571, 196, 109, 504, 157, 693, 381, 90, 829, 985, 705, 206, 433, 464, 209, 653, 792, 533, 723, 604, 816, 615, 152, 865, 281, 999, 221, 930, 528, 61, 218, 608, 244, 140, 178, 836, 469, 465, 472, 941, 255, 5, 886, 231, 678, 99, 128, 297, 492, 18, 118, 840, 311, 362, 593, 103, 97, 342, 276, 260, 660, 545, 343, 237, 53, 733},
{992, 448, 997, 618, 665, 897, 985, 276, 872, 941, 241, 97, 644, 760, 529, 705, 343, 240, 732, 295, 929, 543, 134, 224, 820, 130, 637, 500, 159, 332, 499, 999, 642, 924, 729, 895, 82, 284, 976, 757, 478, 846, 599, 250, 748, 576, 635, 156, 180, 65, 532, 707, 317, 705, 847, 864, 265, 102, 596, 196, 331, 506, 563, 520, 505, 617, 697, 288, 545, 506, 649, 989, 317, 794, 621, 533, 620, 464, 958, 610, 916, 821, 343, 591, 288, 232, 2, 341, 441, 204, 106, 693, 796, 269, 384, 992, 502, 906, 59, 248, 744, 459, 388, 965, 866, 548, 453, 631, 602, 64, 361, 177, 232, 144, 682, 477, 540, 940, 783, 92, 299, 140, 678, 998, 361, 383, 184, 41, 600, 717, 434, 157, 645, 204, 275, 251, 782, 612, 668, 721, 425, 912, 970, 262, 320, 935, 916, 525, 973, 113, 168, 655, 846, 733, 546, 464, 546, 471, 448, 276, 568, 275, 483, 39, 151, 881, 81, 358, 471, 305, 660, 496, 677, 683, 983, 255, 276, 751, 461, 865, 971, 44, 530, 673, 342, 631, 677, 444, 691, 872, 348, 603, 982, 127, 745, 529, 13, 884, 502, 369, 905, 88, 292, 447, 534, 657, 717, 468, 722, 442, 247, 191, 942, 827, 513, 134, 737, 252, 50, 198, 299, 749, 419, 783, 481, 396, 716, 86, 991, 274, 655, 804, 691, 137, 785, 389, 727, 465, 909, 316, 688, 37, 420, 594, 105, 408, 138, 870, 370, 985, 171, 42, 635, 442, 492, 244, 269, 302, 186, 462, 269, 451, 808, 747, 383, 170, 875, 240, 769, 61, 273, 749, 742, 882, 307, 664, 518, 873, 170, 312, 908, 647, 846, 751, 580, 77, 860, 134, 872, 918, 817, 415, 110, 72, 379, 218, 57, 521, 196, 50, 430, 956, 295, 945, 370, 32, 618, 820, 378, 993, 736, 473, 536, 171, 204, 221, 722, 422, 718, 637, 143, 186, 982, 676, 768, 222, 166, 789, 120, 467, 932, 278, 456, 703, 289, 235, 603, 881},
{907, 909, 542, 21, 183, 205, 404, 568, 959, 358, 709, 994, 826, 532, 515, 179, 844, 167, 657, 830, 843, 467, 385, 800, 715, 322, 545, 622, 698, 295, 904, 59, 281, 43, 327, 729, 195, 694, 317, 121, 942, 244, 847, 415, 447, 998, 509, 611, 691, 460, 753, 341, 698, 803, 386, 656, 763, 296, 574, 786, 647, 575, 291, 558, 352, 686, 535, 711, 158, 206, 676, 834, 863, 532, 948, 18, 516, 680, 486, 606, 516, 502, 257, 630, 620, 276, 941, 586, 283, 59, 67, 254, 743, 987, 717, 134, 453, 6, 746, 920, 774, 86, 675, 139, 332, 106, 432, 702, 74, 992, 651, 706, 853, 574, 510, 178, 338, 908, 978, 884, 110, 492, 920, 544, 124, 842, 707, 930, 92, 453, 851, 467, 925, 999, 737, 837, 136, 978, 667, 44, 935, 682, 315, 133, 860, 509, 152, 483, 913, 138, 592, 165, 607, 29, 381, 376, 767, 27, 229, 377, 658, 610, 839, 659, 786, 440, 213, 308, 751, 447, 580, 648, 626, 638, 388, 305, 651, 160, 529, 738, 477, 943, 371, 182, 810, 431, 262, 644, 37, 444, 829, 321, 385, 276, 834, 299, 192, 464, 319, 952, 121, 497, 493, 758, 550, 950, 147, 596, 877, 111, 362, 741, 221, 214, 959, 907, 822, 819, 423, 653, 486, 696, 12, 416, 554, 813, 379, 225, 248, 696, 331, 895, 669, 453, 232, 111, 420, 217, 230, 350, 564, 646, 653, 70, 633, 371, 875, 858, 460, 952, 492, 598, 907, 22, 864, 762, 952, 733, 974, 108, 198, 576, 27, 938, 578, 886, 468, 40, 938, 108, 897, 145, 192, 966, 847, 498, 989, 242, 580, 671, 149, 750, 834, 295, 640, 475, 946, 792, 585, 542, 863, 493, 537, 851, 380, 757, 303, 765, 322, 839, 715, 174, 534, 301, 28, 653, 244, 667, 95, 183, 793, 921, 67, 79, 785, 164, 115, 365, 408, 407, 630, 824, 66, 96, 376, 325, 499, 351, 345, 856, 208, 365, 453, 902, 405, 648, 711, 385, 657},
{1, 269, 448, 62, 209, 542, 772, 117, 460, 660, 936, 379, 368, 646, 593, 669, 343, 53, 857, 822, 745, 272, 384, 935, 891, 371, 32, 661, 538, 86, 901, 329, 878, 587, 811, 576, 474, 700, 917, 760, 755, 553, 309, 594, 929, 32, 871, 360, 170, 3, 608, 560, 941, 988, 928, 57, 220, 877, 107, 593, 102, 281, 224, 88, 52, 370, 443, 238, 576, 356, 377, 786, 668, 319, 658, 275, 732, 731, 542, 212, 61, 865, 536, 385, 116, 255, 580, 464, 33, 503, 291, 134, 770, 49, 116, 762, 313, 921, 28, 978, 122, 160, 570, 625, 846, 287, 649, 260, 935, 198, 431, 723, 347, 858, 145, 379, 71, 462, 344, 242, 500, 76, 426, 619, 31, 341, 802, 840, 417, 519, 137, 324, 534, 993, 502, 539, 201, 387, 126, 380, 607, 594, 652, 100, 748, 380, 481, 218, 933, 647, 792, 761, 141, 143, 339, 788, 443, 149, 932, 382, 246, 654, 854, 216, 383, 619, 40, 346, 380, 207, 41, 96, 365, 258, 196, 794, 165, 883, 380, 622, 110, 765, 970, 33, 922, 655, 404, 39, 899, 582, 800, 178, 232, 518, 642, 76, 957, 568, 440, 395, 510, 290, 641, 370, 256, 404, 773, 290, 727, 984, 965, 46, 478, 214, 545, 300, 620, 888, 354, 934, 140, 201, 806, 163, 24, 744, 469, 123, 93, 292, 133, 790, 170, 689, 907, 803, 902, 85, 903, 139, 84, 831, 392, 616, 846, 597, 210, 894, 426, 621, 333, 956, 515, 602, 173, 78, 408, 396, 179, 943, 242, 555, 741, 863, 626, 766, 231, 12, 884, 399, 257, 245, 948, 714, 847, 330, 649, 751, 342, 330, 801, 563, 214, 511, 994, 250, 914, 376, 474, 207, 113, 305, 807, 82, 369, 896, 311, 247, 353, 255, 380, 948, 243, 406, 893, 930, 795, 496, 897, 12, 901, 649, 584, 30, 153, 184, 435, 562, 49, 390, 38, 68, 982, 228, 708, 451, 121, 96, 559, 520, 547, 318, 52, 547, 855, 91, 395, 900, 476, 423},
{377, 737, 584, 29, 347, 872, 402, 242, 91, 237, 65, 741, 308, 770, 992, 298, 213, 241, 886, 817, 584, 190, 56, 642, 186, 178, 758, 485, 123, 532, 650, 367, 105, 77, 229, 623, 4, 650, 365, 394, 376, 842, 640, 997, 803, 991, 210, 239, 10, 428, 366, 41, 711, 880, 775, 703, 77, 199, 631, 770, 490, 833, 598, 721, 24, 991, 467, 665, 663, 62, 911, 791, 875, 646, 603, 588, 527, 536, 190, 724, 533, 28, 349, 88, 860, 281, 187, 641, 667, 808, 757, 663, 442, 776, 367, 459, 952, 527, 627, 812, 738, 616, 932, 284, 613, 699, 151, 963, 380, 822, 845, 449, 539, 993, 243, 603, 277, 456, 544, 142, 439, 745, 864, 201, 502, 414, 267, 826, 790, 332, 891, 750, 302, 567, 153, 923, 559, 170, 316, 8, 833, 627, 568, 446, 930, 360, 850, 772, 511, 390, 309, 563, 542, 249, 218, 778, 69, 241, 616, 284, 964, 426, 692, 35, 691, 83, 190, 720, 395, 922, 680, 696, 844, 71, 606, 651, 831, 641, 400, 798, 653, 793, 829, 321, 192, 272, 957, 432, 953, 810, 742, 699, 129, 227, 371, 196, 368, 677, 861, 651, 526, 358, 341, 13, 30, 853, 677, 725, 916, 473, 821, 625, 812, 151, 284, 512, 300, 929, 692, 377, 180, 599, 227, 789, 116, 814, 79, 84, 21, 884, 747, 907, 343, 488, 127, 102, 80, 754, 849, 116, 976, 512, 276, 910, 846, 29, 858, 799, 365, 217, 339, 796, 24, 119, 403, 813, 138, 455, 932, 469, 925, 187, 1, 403, 736, 277, 68, 689, 431, 360, 659, 379, 756, 576, 936, 248, 349, 620, 183, 539, 609, 961, 215, 872, 310, 280, 102, 516, 236, 372, 415, 890, 548, 191, 401, 532, 859, 218, 102, 737, 183, 62, 481, 745, 20, 47, 9, 645, 875, 550, 19, 163, 369, 31, 375, 76, 956, 12, 649, 318, 979, 763, 30, 751, 404, 55, 670, 170, 139, 168, 50, 359, 268, 289, 156, 934, 878, 508, 20, 242, 426},
{928, 188, 804, 728, 792, 208, 698, 765, 120, 117, 757, 418, 74, 204, 674, 163, 163, 32, 929, 537, 433, 827, 974, 869, 3, 856, 229, 369, 646, 337, 289, 179, 648, 762, 181, 407, 822, 271, 645, 469, 403, 812, 187, 280, 516, 443, 93, 5, 56, 15, 667, 69, 98, 908, 728, 93, 432, 215, 785, 274, 393, 952, 368, 469, 941, 499, 726, 903, 862, 388, 465, 24, 20, 33, 711, 423, 841, 731, 105, 229, 606, 519, 235, 559, 612, 48, 148, 881, 67, 691, 205, 203, 324, 508, 865, 22, 178, 517, 963, 876, 28, 981, 639, 153, 98, 57, 381, 535, 359, 190, 568, 108, 444, 124, 487, 661, 622, 239, 53, 188, 890, 196, 349, 909, 299, 576, 699, 434, 915, 243, 143, 784, 263, 672, 118, 144, 602, 396, 636, 86, 207, 972, 451, 994, 633, 644, 538, 114, 51, 934, 717, 392, 877, 964, 409, 876, 363, 186, 289, 903, 208, 585, 115, 775, 56, 114, 104, 885, 450, 289, 998, 521, 871, 428, 433, 677, 602, 943, 260, 256, 435, 514, 284, 970, 727, 676, 223, 131, 889, 603, 781, 214, 151, 377, 465, 822, 390, 85, 92, 171, 869, 450, 12, 721, 961, 496, 746, 990, 315, 993, 44, 790, 507, 992, 421, 414, 853, 828, 838, 327, 974, 356, 523, 961, 684, 55, 891, 112, 952, 833, 152, 232, 22, 64, 437, 696, 223, 366, 282, 667, 703, 181, 803, 798, 29, 995, 235, 399, 626, 357, 338, 68, 86, 517, 785, 43, 648, 596, 835, 681, 599, 663, 468, 543, 856, 37, 691, 534, 816, 374, 934, 446, 338, 870, 227, 996, 871, 966, 433, 204, 858, 511, 900, 480, 952, 231, 736, 379, 81, 703, 361, 307, 52, 775, 122, 855, 235, 489, 545, 608, 830, 165, 203, 428, 362, 211, 286, 254, 352, 638, 730, 379, 547, 971, 120, 43, 717, 487, 667, 903, 770, 239, 283, 642, 866, 363, 131, 498, 288, 507, 60, 20, 58, 85, 36, 686, 662, 198, 985, 355, 813, 745},
{517, 667, 861, 226, 575, 657, 329, 157, 460, 788, 60, 908, 551, 603, 634, 944, 732, 919, 33, 135, 782, 304, 13, 845, 933, 116, 296, 980, 377, 8, 460, 993, 763, 171, 382, 189, 642, 976, 185, 265, 319, 932, 892, 196, 876, 10, 442, 964, 921, 480, 236, 625, 189, 374, 204, 420, 297, 545, 174, 424, 802, 114, 440, 273, 187, 769, 591, 75, 567, 978, 31, 522, 739, 683, 123, 548, 614, 469, 581, 626, 239, 498, 529, 935, 373, 730, 650, 199, 21, 92, 977, 917, 408, 275, 177, 122, 656, 793, 612, 520, 781, 792, 107, 100, 732, 828, 60, 811, 888, 519, 505, 983, 800, 542, 773, 474, 992, 899, 658, 393, 348, 767, 346, 432, 895, 556, 954, 447, 860, 937, 196, 955, 466, 774, 539, 660, 297, 818, 274, 911, 978, 8, 36, 287, 590, 977, 672, 99, 461, 144, 837, 686, 968, 337, 293, 835, 526, 502, 748, 490, 212, 433, 963, 228, 376, 827, 986, 637, 147, 256, 646, 793, 943, 740, 822, 570, 993, 757, 636, 362, 388, 408, 371, 141, 364, 419, 892, 444, 379, 399, 311, 36, 14, 467, 893, 471, 898, 985, 540, 758, 682, 620, 670, 602, 506, 361, 53, 490, 585, 468, 896, 12, 272, 517, 540, 349, 406, 850, 198, 840, 851, 782, 500, 885, 869, 848, 64, 230, 380, 232, 861, 830, 213, 254, 7, 119, 179, 489, 405, 420, 160, 622, 870, 732, 445, 632, 491, 836, 212, 287, 423, 926, 417, 206, 868, 572, 342, 930, 634, 830, 686, 576, 585, 762, 432, 590, 281, 446, 647, 114, 261, 790, 27, 205, 777, 147, 264, 943, 255, 715, 234, 63, 371, 237, 630, 250, 492, 321, 866, 777, 96, 4, 24, 381, 959, 846, 143, 640, 138, 940, 398, 227, 161, 679, 539, 463, 499, 64, 549, 628, 22, 588, 615, 293, 104, 498, 381, 789, 53, 271, 911, 583, 751, 757, 4, 934, 746, 284, 227, 715, 542, 398, 599, 708, 513, 651, 882, 956, 694, 968, 283, 45, 659},
{703, 785, 235, 876, 435, 398, 498, 175, 936, 390, 343, 459, 497, 963, 278, 360, 966, 871, 419, 330, 490, 231, 470, 553, 851, 111, 844, 167, 780, 550, 184, 482, 353, 308, 893, 308, 834, 5, 619, 6, 927, 319, 767, 620, 398, 531, 280, 271, 504, 44, 869, 14, 446, 463, 839, 549, 343, 434, 434, 478, 838, 726, 373, 274, 530, 980, 873, 812, 853, 127, 974, 49, 910, 734, 457, 421, 31, 443, 962, 645, 501, 210, 187, 827, 989, 287, 198, 261, 701, 752, 971, 808, 158, 926, 223, 558, 834, 186, 490, 275, 577, 542, 227, 247, 827, 846, 319, 317, 228, 614, 74, 241, 86, 315, 221, 37, 521, 395, 869, 647, 853, 442, 691, 75, 921, 691, 826, 116, 619, 485, 127, 974, 831, 390, 396, 316, 362, 456, 234, 776, 208, 449, 915, 557, 688, 2, 536, 482, 554, 311, 257, 826, 166, 393, 102, 294, 229, 935, 213, 760, 399, 470, 835, 767, 238, 922, 616, 328, 653, 615, 976, 269, 950, 417, 419, 226, 72, 86, 641, 388, 400, 768, 231, 281, 790, 294, 536, 198, 93, 136, 45, 355, 501, 862, 199, 508, 529, 513, 152, 541, 262, 534, 386, 502, 816, 864, 467, 658, 605, 280, 469, 409, 99, 342, 766, 318, 254, 171, 944, 94, 688, 773, 570, 83, 972, 859, 435, 727, 104, 906, 661, 487, 387, 747, 783, 915, 416, 84, 471, 941, 798, 167, 110, 935, 610, 326, 831, 776, 294, 168, 934, 984, 846, 31, 822, 969, 726, 735, 752, 562, 837, 730, 708, 303, 334, 521, 641, 414, 738, 628, 199, 982, 73, 423, 792, 645, 244, 866, 526, 984, 957, 588, 73, 927, 803, 729, 69, 653, 952, 687, 959, 929, 145, 244, 522, 310, 223, 518, 499, 362, 517, 886, 843, 904, 797, 293, 118, 300, 343, 339, 465, 969, 936, 181, 418, 654, 197, 522, 512, 405, 766, 937, 316, 952, 284, 345, 16, 853, 963, 703, 139, 821, 855, 889, 355, 693, 560, 311, 535, 804, 224, 978, 422, 912},
{160, 671, 326, 427, 315, 340, 242, 398, 114, 78, 647, 640, 921, 827, 44, 381, 465, 512, 999, 38, 99, 389, 12, 90, 702, 279, 80, 502, 354, 760, 213, 860, 633, 552, 487, 163, 588, 81, 433, 229, 924, 671, 690, 812, 938, 881, 917, 775, 105, 254, 845, 186, 953, 164, 247, 739, 93, 483, 347, 733, 791, 531, 833, 680, 533, 121, 221, 787, 345, 552, 794, 689, 513, 101, 711, 275, 490, 851, 168, 940, 442, 781, 687, 351, 864, 599, 722, 586, 158, 176, 733, 628, 868, 385, 850, 270, 544, 757, 22, 859, 800, 664, 273, 785, 236, 665, 353, 249, 318, 241, 554, 634, 186, 393, 952, 776, 632, 492, 656, 515, 159, 292, 907, 169, 124, 297, 37, 16, 453, 472, 352, 426, 307, 872, 3, 9, 394, 931, 746, 50, 307, 966, 333, 546, 409, 2, 898, 346, 286, 127, 397, 253, 722, 428, 551, 480, 492, 2, 259, 497, 985, 681, 684, 143, 853, 869, 501, 854, 383, 330, 866, 5, 296, 862, 766, 637, 15, 540, 288, 327, 207, 591, 247, 510, 615, 61, 334, 392, 731, 123, 615, 451, 901, 252, 799, 637, 807, 527, 125, 597, 98, 5, 136, 642, 137, 437, 886, 720, 452, 626, 305, 358, 502, 340, 541, 376, 776, 26, 146, 234, 115, 552, 824, 973, 332, 779, 327, 120, 916, 90, 766, 306, 590, 911, 284, 107, 5, 875, 508, 292, 683, 472, 722, 689, 620, 17, 966, 968, 593, 239, 581, 887, 361, 84, 861, 982, 374, 132, 539, 250, 553, 615, 806, 117, 966, 169, 453, 845, 958, 296, 489, 615, 399, 46, 325, 670, 231, 518, 147, 324, 429, 668, 671, 95, 817, 287, 847, 921, 925, 230, 398, 255, 213, 671, 312, 755, 542, 652, 554, 528, 746, 256, 248, 56, 481, 480, 573, 491, 342, 315, 455, 547, 404, 560, 858, 998, 901, 643, 187, 722, 783, 87, 844, 284, 259, 270, 487, 304, 248, 846, 874, 227, 871, 503, 519, 662, 723, 739, 526, 171, 675, 15, 102, 205, 422},
{911, 236, 955, 777, 920, 952, 9, 979, 93, 348, 34, 924, 70, 375, 225, 280, 943, 931, 841, 895, 984, 376, 999, 792, 524, 10, 795, 283, 182, 450, 969, 449, 196, 26, 581, 296, 807, 526, 558, 371, 551, 694, 604, 553, 809, 804, 627, 6, 189, 582, 778, 3, 99, 481, 233, 449, 436, 34, 9, 425, 406, 596, 520, 40, 333, 307, 52, 176, 789, 486, 7, 486, 464, 36, 618, 102, 7, 594, 791, 114, 483, 378, 875, 806, 202, 611, 460, 10, 390, 463, 751, 692, 616, 193, 682, 119, 914, 4, 661, 440, 280, 744, 807, 607, 571, 179, 580, 882, 895, 2, 939, 22, 229, 171, 580, 411, 362, 411, 293, 62, 271, 936, 250, 370, 652, 526, 826, 10, 680, 111, 617, 102, 5, 931, 443, 122, 633, 135, 497, 566, 624, 421, 253, 526, 431, 970, 374, 719, 364, 409, 694, 433, 847, 32, 254, 72, 78, 836, 512, 707, 236, 181, 96, 95, 622, 42, 875, 102, 969, 907, 737, 422, 692, 336, 143, 706, 44, 52, 452, 994, 965, 281, 57, 407, 934, 691, 530, 600, 253, 900, 385, 414, 33, 50, 541, 462, 613, 311, 262, 155, 241, 541, 149, 819, 644, 518, 773, 79, 568, 308, 647, 667, 400, 363, 540, 185, 802, 884, 599, 78, 645, 849, 321, 313, 587, 821, 221, 787, 405, 362, 908, 508, 491, 412, 420, 975, 17, 480, 833, 1, 905, 862, 610, 397, 134, 410, 650, 605, 839, 532, 720, 314, 402, 250, 823, 596, 955, 100, 24, 883, 752, 590, 479, 352, 430, 775, 695, 948, 522, 172, 550, 320, 449, 919, 233, 381, 868, 614, 72, 108, 458, 670, 140, 428, 167, 425, 664, 746, 460, 466, 514, 723, 367, 798, 454, 431, 968, 557, 441, 888, 499, 934, 967, 285, 440, 873, 327, 913, 797, 865, 757, 951, 266, 873, 572, 724, 146, 31, 786, 62, 657, 218, 233, 624, 801, 89, 836, 882, 8, 395, 557, 531, 601, 696, 461, 690, 560, 666, 549, 197, 111, 261, 253, 677, 467, 922},
{943, 810, 424, 883, 444, 437, 567, 342, 248, 685, 573, 996, 114, 330, 472, 940, 743, 948, 739, 427, 513, 285, 783, 390, 582, 398, 749, 871, 285, 825, 527, 721, 380, 968, 537, 31, 599, 389, 143, 753, 959, 472, 547, 882, 460, 224, 599, 394, 112, 543, 275, 837, 727, 425, 475, 150, 553, 962, 411, 755, 594, 902, 88, 467, 448, 783, 283, 81, 568, 338, 997, 769, 148, 948, 566, 566, 202, 430, 471, 306, 53, 297, 462, 326, 106, 977, 737, 163, 721, 168, 804, 216, 16, 595, 122, 71, 639, 9, 793, 776, 917, 134, 375, 848, 276, 661, 330, 215, 516, 73, 803, 614, 347, 265, 139, 183, 565, 469, 12, 120, 395, 940, 152, 319, 813, 238, 346, 825, 115, 690, 849, 817, 606, 835, 374, 566, 46, 178, 526, 483, 399, 624, 983, 944, 534, 328, 671, 40, 708, 496, 925, 791, 115, 910, 949, 654, 263, 527, 885, 323, 694, 540, 451, 939, 386, 737, 424, 848, 192, 768, 208, 897, 866, 247, 351, 149, 521, 186, 147, 567, 845, 374, 389, 879, 77, 721, 967, 347, 485, 486, 183, 624, 92, 558, 631, 238, 443, 650, 7, 455, 539, 341, 426, 496, 413, 381, 739, 104, 451, 603, 810, 428, 263, 40, 948, 131, 809, 590, 506, 320, 529, 685, 158, 681, 406, 900, 525, 743, 296, 429, 630, 705, 306, 626, 108, 718, 724, 591, 259, 750, 815, 912, 767, 476, 746, 209, 382, 688, 105, 121, 903, 808, 702, 704, 619, 1, 862, 8, 688, 244, 939, 749, 54, 469, 647, 610, 188, 536, 630, 651, 332, 392, 818, 753, 915, 207, 350, 776, 545, 700, 188, 356, 284, 124, 160, 846, 928, 567, 798, 971, 661, 367, 240, 138, 757, 386, 468, 224, 986, 849, 314, 888, 985, 235, 992, 75, 143, 455, 414, 469, 476, 175, 150, 94, 570, 661, 730, 111, 906, 8, 905, 160, 791, 896, 583, 248, 672, 359, 465, 272, 839, 119, 773, 773, 378, 186, 62, 382, 771, 352, 842, 750, 740, 87, 621, 443, 734},
{168, 5, 400, 998, 17, 718, 89, 295, 354, 767, 392, 149, 276, 434, 620, 981, 253, 523, 759, 592, 892, 54, 231, 243, 516, 615, 974, 30, 736, 702, 635, 303, 252, 663, 992, 684, 20, 352, 541, 579, 822, 150, 317, 182, 998, 820, 630, 669, 751, 558, 379, 668, 37, 668, 977, 71, 509, 565, 788, 10, 353, 133, 84, 112, 148, 66, 255, 137, 95, 493, 944, 806, 19, 42, 232, 883, 589, 520, 843, 570, 86, 559, 575, 892, 885, 890, 774, 22, 538, 396, 784, 423, 951, 727, 691, 313, 725, 80, 610, 137, 141, 639, 988, 713, 623, 356, 90, 211, 792, 931, 915, 385, 342, 351, 302, 331, 76, 851, 817, 567, 400, 949, 406, 431, 441, 45, 412, 626, 757, 163, 750, 233, 297, 586, 499, 677, 851, 499, 112, 933, 770, 258, 800, 728, 107, 610, 358, 615, 664, 947, 841, 571, 683, 733, 99, 220, 979, 321, 60, 847, 429, 700, 105, 151, 611, 170, 558, 34, 279, 518, 568, 861, 80, 61, 187, 265, 603, 822, 482, 981, 420, 199, 871, 234, 223, 687, 714, 841, 582, 641, 369, 602, 101, 582, 556, 457, 958, 253, 881, 646, 921, 498, 806, 318, 904, 58, 182, 82, 82, 494, 691, 554, 367, 871, 214, 283, 794, 201, 165, 320, 973, 369, 303, 347, 321, 43, 404, 469, 211, 964, 431, 718, 555, 207, 529, 862, 540, 175, 245, 322, 457, 606, 872, 883, 580, 334, 710, 418, 68, 389, 325, 994, 700, 822, 612, 631, 91, 738, 582, 415, 656, 194, 298, 867, 292, 985, 322, 264, 122, 854, 371, 65, 194, 322, 623, 730, 228, 176, 229, 1, 805, 612, 186, 120, 482, 200, 647, 596, 373, 81, 127, 847, 668, 322, 817, 436, 408, 901, 431, 725, 606, 597, 531, 453, 446, 951, 345, 103, 866, 569, 415, 998, 314, 243, 258, 714, 820, 759, 416, 733, 861, 824, 885, 303, 621, 217, 941, 64, 417, 142, 794, 357, 4, 773, 348, 77, 445, 150, 577, 543, 984, 887, 684, 178, 145, 690, 225, 662},
{855, 243, 894, 886, 982, 895, 491, 213, 66, 471, 864, 502, 393, 653, 318, 900, 860, 666, 38, 598, 134, 384, 597, 663, 794, 564, 476, 542, 43, 666, 846, 56, 471, 553, 584, 508, 172, 476, 573, 66, 139, 890, 892, 684, 552, 46, 403, 701, 988, 780, 593, 638, 63, 634, 253, 930, 281, 212, 744, 32, 146, 712, 112, 799, 654, 684, 325, 166, 374, 337, 223, 816, 244, 232, 564, 40, 71, 732, 728, 933, 449, 391, 215, 897, 516, 359, 60, 704, 490, 982, 706, 458, 440, 964, 643, 456, 97, 890, 353, 294, 813, 420, 712, 551, 958, 198, 28, 63, 163, 328, 274, 74, 780, 342, 998, 546, 909, 694, 536, 522, 77, 184, 843, 702, 451, 176, 350, 346, 57, 122, 607, 202, 4, 675, 457, 394, 213, 668, 656, 131, 409, 292, 601, 622, 484, 106, 872, 844, 422, 918, 798, 636, 98, 144, 143, 155, 205, 987, 329, 895, 459, 695, 296, 324, 14, 136, 234, 670, 699, 196, 925, 570, 326, 825, 383, 82, 752, 78, 774, 32, 886, 159, 401, 798, 54, 324, 599, 408, 417, 447, 22, 235, 259, 225, 700, 731, 973, 261, 646, 318, 552, 743, 535, 974, 195, 18, 179, 174, 451, 132, 93, 446, 926, 348, 426, 298, 187, 684, 956, 198, 952, 782, 615, 49, 43, 793, 236, 881, 845, 510, 839, 547, 256, 672, 776, 772, 138, 240, 467, 319, 353, 419, 348, 914, 342, 433, 822, 245, 21, 298, 711, 600, 521, 420, 695, 673, 887, 386, 762, 624, 429, 180, 468, 755, 822, 981, 160, 43, 439, 790, 919, 357, 616, 426, 130, 376, 750, 831, 4, 111, 157, 214, 355, 466, 626, 256, 153, 445, 466, 560, 143, 457, 631, 490, 908, 681, 205, 798, 283, 587, 123, 792, 930, 522, 516, 267, 278, 762, 473, 145, 678, 509, 319, 572, 872, 122, 768, 177, 332, 301, 404, 380, 55, 31, 971, 909, 729, 825, 968, 118, 954, 239, 778, 338, 397, 663, 430, 243, 321, 132, 671, 110, 950, 237, 643, 967, 491, 305, 896},
{826, 438, 624, 884, 584, 48, 903, 351, 745, 403, 101, 210, 789, 569, 439, 635, 883, 745, 724, 64, 642, 157, 44, 737, 809, 655, 557, 229, 66, 673, 362, 101, 635, 189, 346, 507, 21, 853, 545, 61, 973, 274, 753, 726, 758, 721, 50, 887, 894, 211, 460, 936, 789, 990, 192, 928, 133, 949, 735, 924, 465, 369, 686, 572, 80, 717, 292, 395, 318, 944, 594, 46, 321, 774, 518, 431, 556, 87, 419, 271, 743, 364, 416, 111, 350, 517, 285, 257, 480, 157, 828, 379, 812, 507, 413, 795, 213, 728, 780, 547, 814, 348, 359, 421, 601, 888, 30, 30, 37, 538, 704, 883, 852, 891, 148, 176, 879, 357, 172, 626, 721, 851, 716, 329, 166, 748, 361, 6, 428, 897, 473, 448, 736, 699, 577, 229, 293, 870, 487, 928, 366, 522, 436, 267, 93, 622, 697, 477, 629, 739, 227, 223, 406, 208, 394, 149, 612, 479, 226, 881, 482, 525, 474, 923, 620, 554, 416, 452, 380, 208, 563, 415, 265, 674, 333, 728, 424, 806, 316, 596, 592, 439, 977, 146, 219, 582, 500, 640, 128, 56, 20, 499, 764, 445, 674, 248, 993, 950, 731, 284, 427, 840, 562, 69, 495, 699, 374, 915, 797, 645, 437, 87, 812, 957, 983, 304, 689, 362, 111, 78, 692, 309, 767, 535, 820, 170, 356, 497, 300, 216, 571, 630, 916, 622, 838, 432, 598, 489, 116, 641, 294, 67, 900, 454, 927, 961, 966, 545, 150, 51, 770, 502, 658, 284, 445, 710, 119, 299, 36, 160, 78, 25, 927, 881, 831, 43, 449, 931, 887, 492, 254, 961, 524, 756, 426, 382, 979, 963, 194, 52, 941, 611, 781, 267, 360, 242, 176, 495, 74, 174, 566, 992, 382, 713, 745, 916, 488, 185, 73, 44, 685, 342, 447, 500, 275, 434, 337, 223, 461, 261, 102, 971, 874, 54, 734, 827, 977, 903, 670, 58, 315, 775, 486, 122, 468, 835, 176, 376, 617, 949, 165, 715, 810, 724, 382, 19, 400, 382, 535, 721, 618, 117, 181, 309, 936, 283, 304, 790, 657, 949},
{918, 464, 209, 881, 615, 407, 713, 970, 82, 163, 701, 515, 372, 36, 324, 499, 88, 250, 968, 225, 722, 1, 4, 195, 105, 63, 248, 182, 276, 204, 868, 765, 134, 130, 628, 470, 904, 44, 793, 789, 791, 217, 552, 55, 193, 148, 509, 78, 509, 966, 662, 956, 873, 791, 276, 247, 108, 611, 272, 955, 836, 102, 23, 440, 945, 517, 972, 371, 537, 417, 114, 358, 104, 519, 148, 705, 887, 424, 122, 38, 321, 309, 417, 218, 964, 914, 254, 44, 618, 355, 272, 725, 111, 298, 335, 11, 837, 89, 439, 171, 273, 216, 482, 699, 543, 356, 715, 778, 640, 883, 866, 1, 991, 361, 321, 828, 940, 13, 217, 563, 134, 598, 21, 361, 945, 433, 942, 963, 846, 505, 543, 363, 49, 782, 38, 602, 866, 836, 62, 230, 970, 859, 149, 752, 109, 974, 760, 561, 943, 528, 457, 421, 356, 691, 756, 582, 947, 264, 262, 974, 501, 78, 889, 757, 829, 720, 425, 683, 814, 649, 158, 375, 393, 919, 56, 613, 939, 843, 812, 171, 784, 941, 80, 559, 568, 416, 392, 291, 768, 211, 609, 915, 12, 465, 192, 127, 704, 752, 226, 691, 120, 79, 972, 850, 329, 34, 597, 63, 251, 830, 894, 676, 667, 247, 60, 177, 265, 624, 971, 165, 640, 149, 64, 94, 718, 627, 542, 113, 233, 827, 629, 73, 758, 267, 554, 835, 271, 994, 197, 610, 378, 540, 656, 882, 160, 684, 535, 917, 32, 126, 381, 500, 165, 455, 579, 749, 780, 23, 934, 383, 51, 475, 364, 777, 458, 724, 366, 517, 187, 86, 432, 918, 539, 150, 128, 167, 424, 722, 367, 304, 675, 825, 305, 302, 345, 299, 349, 809, 117, 61, 34, 28, 711, 412, 872, 321, 452, 97, 864, 801, 187, 999, 18, 174, 403, 475, 111, 498, 681, 293, 936, 421, 606, 110, 433, 621, 875, 188, 424, 875, 602, 799, 194, 218, 787, 400, 737, 91, 482, 173, 337, 284, 434, 9, 53, 707, 910, 305, 830, 722, 942, 265, 199, 849, 464, 488, 920, 150, 676, 763, 571},
{479, 507, 899, 731, 106, 221, 351, 361, 908, 56, 152, 983, 463, 303, 382, 504, 872, 336, 971, 827, 90, 979, 182, 983, 852, 999, 477, 94, 61, 679, 841, 392, 572, 193, 821, 447, 980, 918, 686, 888, 838, 950, 154, 248, 208, 790, 56, 947, 160, 610, 174, 103, 29, 548, 242, 546, 811, 204, 738, 410, 96, 864, 707, 686, 279, 49, 274, 392, 670, 603, 937, 388, 248, 968, 979, 403, 470, 182, 551, 558, 573, 881, 60, 514, 179, 862, 528, 372, 906, 691, 469, 666, 911, 547, 661, 63, 890, 689, 921, 891, 196, 911, 609, 274, 115, 939, 131, 382, 256, 955, 146, 349, 254, 341, 543, 420, 667, 317, 490, 225, 55, 325, 37, 454, 665, 912, 811, 808, 111, 395, 325, 814, 672, 740, 281, 985, 589, 980, 63, 862, 836, 948, 289, 658, 346, 283, 885, 580, 638, 464, 677, 453, 93, 98, 867, 871, 858, 800, 116, 1, 559, 806, 150, 94, 465, 851, 965, 915, 805, 997, 707, 602, 216, 767, 272, 890, 125, 426, 516, 296, 30, 234, 719, 537, 211, 266, 585, 476, 428, 747, 679, 870, 509, 861, 610, 498, 593, 713, 715, 584, 932, 437, 229, 14, 846, 446, 150, 508, 366, 479, 113, 805, 601, 407, 554, 891, 641, 724, 399, 498, 84, 265, 297, 416, 894, 992, 176, 649, 379, 602, 480, 66, 495, 300, 37, 7, 596, 361, 904, 264, 969, 958, 920, 934, 216, 345, 917, 921, 588, 637, 737, 297, 903, 383, 247, 272, 547, 570, 515, 298, 355, 953, 209, 667, 924, 387, 54, 66, 962, 388, 871, 699, 828, 259, 333, 985, 365, 955, 65, 318, 413, 321, 142, 66, 172, 429, 335, 817, 702, 589, 698, 838, 417, 955, 212, 854, 374, 810, 224, 585, 538, 319, 400, 874, 953, 963, 711, 889, 947, 921, 759, 614, 74, 370, 399, 794, 470, 72, 187, 544, 740, 616, 651, 83, 225, 403, 763, 428, 773, 744, 274, 451, 729, 518, 780, 366, 844, 420, 468, 595, 299, 173, 503, 986, 801, 42, 932, 474, 19, 599, 795, 670},
{187, 981, 850, 281, 857, 792, 960, 951, 143, 431, 732, 875, 718, 834, 405, 497, 115, 550, 381, 719, 469, 608, 14, 303, 44, 878, 439, 558, 267, 463, 313, 1, 958, 218, 273, 389, 719, 671, 827, 426, 149, 439, 186, 478, 682, 764, 196, 837, 358, 923, 180, 440, 750, 76, 959, 431, 642, 597, 773, 666, 734, 57, 94, 50, 857, 758, 602, 593, 686, 237, 672, 220, 918, 163, 794, 618, 257, 862, 265, 932, 274, 71, 362, 643, 456, 585, 943, 784, 270, 211, 92, 545, 103, 758, 990, 395, 325, 873, 672, 79, 514, 187, 696, 244, 94, 580, 55, 983, 252, 399, 840, 300, 41, 52, 275, 317, 950, 792, 727, 125, 117, 415, 236, 278, 553, 213, 895, 302, 432, 868, 173, 49, 494, 814, 846, 375, 144, 260, 811, 416, 620, 278, 429, 665, 936, 275, 436, 198, 922, 718, 720, 617, 821, 210, 369, 737, 363, 869, 537, 578, 131, 520, 595, 995, 350, 359, 924, 140, 924, 608, 522, 997, 670, 190, 240, 450, 210, 562, 112, 665, 920, 721, 705, 130, 659, 790, 868, 299, 738, 766, 524, 696, 746, 775, 434, 224, 394, 605, 942, 636, 488, 386, 766, 385, 533, 31, 854, 516, 204, 467, 139, 891, 125, 723, 824, 783, 974, 667, 459, 796, 913, 570, 635, 153, 732, 688, 640, 619, 933, 731, 728, 711, 143, 451, 12, 391, 879, 558, 138, 149, 726, 844, 4, 230, 379, 682, 806, 758, 865, 50, 602, 728, 485, 858, 369, 85, 658, 615, 317, 666, 919, 405, 783, 388, 761, 771, 625, 816, 881, 305, 417, 303, 673, 664, 165, 864, 469, 315, 453, 341, 119, 477, 137, 720, 9, 658, 733, 132, 464, 657, 670, 724, 851, 138, 390, 542, 340, 679, 134, 536, 434, 738, 892, 84, 902, 80, 629, 708, 647, 73, 366, 229, 396, 699, 160, 229, 833, 231, 292, 553, 953, 351, 215, 543, 933, 876, 966, 831, 811, 371, 743, 829, 616, 672, 314, 494, 351, 746, 777, 543, 417, 366, 928, 82, 663, 800, 172, 502, 197, 109, 455, 591, 542},
{613, 216, 37, 472, 858, 671, 867, 100, 667, 94, 964, 410, 929, 892, 419, 411, 390, 437, 417, 556, 32, 542, 321, 881, 586, 457, 784, 567, 380, 28, 85, 256, 930, 395, 300, 534, 706, 265, 646, 436, 15, 276, 30, 664, 249, 473, 865, 551, 621, 212, 293, 395, 64, 101, 185, 938, 211, 729, 781, 229, 229, 2, 332, 972, 804, 880, 884, 850, 778, 212, 223, 910, 743, 96, 19, 312, 453, 953, 455, 189, 4, 52, 940, 349, 585, 729, 30, 834, 55, 14, 358, 128, 715, 599, 209, 927, 442, 403, 316, 964, 765, 38, 641, 289, 569, 581, 162, 833, 852, 954, 158, 810, 373, 83, 83, 694, 68, 757, 878, 112, 858, 783, 505, 959, 816, 565, 530, 454, 698, 749, 863, 640, 542, 938, 106, 68, 351, 751, 510, 975, 911, 734, 285, 345, 402, 679, 790, 595, 810, 958, 226, 548, 100, 355, 543, 512, 712, 716, 663, 981, 271, 465, 562, 513, 261, 633, 414, 785, 94, 625, 769, 716, 157, 362, 728, 786, 422, 791, 131, 383, 662, 27, 90, 84, 624, 516, 581, 257, 318, 728, 395, 286, 137, 797, 484, 993, 708, 473, 629, 580, 203, 486, 380, 478, 341, 135, 448, 65, 484, 516, 60, 88, 991, 308, 311, 10, 525, 422, 226, 188, 74, 186, 46, 982, 253, 900, 257, 422, 894, 797, 8, 4, 991, 392, 851, 598, 851, 246, 214, 169, 682, 928, 569, 211, 914, 785, 106, 401, 274, 728, 536, 911, 978, 872, 829, 276, 492, 288, 834, 471, 909, 538, 177, 78, 435, 942, 347, 41, 371, 705, 590, 517, 716, 151, 83, 757, 769, 306, 870, 801, 100, 978, 237, 990, 880, 316, 474, 956, 836, 525, 519, 796, 17, 80, 562, 601, 174, 287, 514, 365, 792, 509, 182, 583, 713, 684, 99, 513, 833, 65, 228, 159, 617, 244, 171, 534, 6, 585, 80, 646, 823, 187, 231, 946, 6, 361, 63, 716, 768, 390, 570, 938, 377, 57, 117, 762, 293, 975, 88, 572, 305, 338, 334, 9, 711, 12, 10, 38, 752, 326, 240, 296, 234, 55},
{30, 508, 786, 237, 977, 712, 208, 544, 633, 406, 166, 818, 790, 499, 883, 253, 639, 119, 520, 459, 427, 910, 663, 318, 214, 472, 719, 66, 397, 934, 37, 566, 881, 515, 242, 81, 185, 87, 660, 129, 304, 403, 639, 259, 850, 656, 291, 589, 855, 449, 432, 56, 630, 128, 529, 143, 237, 630, 1, 747, 465, 665, 579, 516, 683, 100, 324, 642, 566, 856, 480, 630, 504, 523, 635, 2, 440, 137, 516, 238, 995, 257, 330, 527, 4, 570, 774, 41, 985, 709, 713, 531, 689, 909, 34, 9, 533, 397, 403, 156, 683, 116, 462, 897, 552, 532, 499, 253, 684, 756, 824, 203, 373, 157, 815, 778, 842, 969, 152, 34, 526, 160, 787, 832, 761, 909, 85, 652, 249, 696, 868, 693, 708, 847, 347, 657, 503, 835, 506, 464, 433, 368, 57, 63, 503, 464, 26, 202, 237, 323, 827, 745, 45, 771, 6, 621, 183, 469, 874, 15, 139, 846, 973, 771, 594, 978, 576, 277, 726, 193, 514, 257, 245, 230, 205, 49, 493, 223, 106, 904, 865, 568, 768, 791, 54, 17, 281, 962, 880, 956, 195, 323, 22, 906, 935, 212, 510, 696, 297, 779, 740, 685, 878, 587, 631, 630, 221, 369, 693, 486, 933, 196, 51, 526, 364, 414, 850, 638, 200, 810, 72, 549, 930, 411, 501, 54, 288, 242, 508, 1, 614, 102, 300, 930, 614, 169, 542, 758, 94, 784, 587, 840, 95, 313, 62, 83, 315, 374, 226, 494, 808, 52, 376, 729, 748, 921, 481, 731, 472, 855, 459, 520, 100, 608, 720, 547, 802, 139, 108, 826, 156, 432, 944, 189, 102, 407, 661, 622, 752, 84, 420, 644, 641, 803, 180, 33, 44, 755, 939, 57, 692, 418, 224, 565, 545, 858, 468, 873, 258, 976, 627, 444, 660, 901, 206, 774, 872, 772, 915, 711, 628, 997, 332, 695, 18, 953, 255, 45, 128, 771, 947, 471, 11, 522, 82, 445, 968, 614, 990, 929, 435, 675, 806, 237, 592, 560, 140, 463, 453, 327, 238, 38, 339, 252, 978, 387, 569, 953, 616, 650, 677, 739, 941, 644, 697},
{97, 408, 21, 864, 102, 800, 638, 591, 160, 251, 718, 739, 128, 729, 268, 986, 347, 695, 589, 606, 545, 201, 439, 32, 867, 640, 526, 420, 537, 240, 628, 829, 758, 598, 517, 713, 530, 806, 286, 198, 954, 198, 418, 5, 503, 324, 131, 945, 445, 558, 95, 608, 284, 622, 634, 276, 660, 428, 891, 80, 601, 818, 261, 138, 424, 248, 585, 737, 850, 899, 241, 600, 102, 516, 246, 982, 837, 30, 947, 594, 802, 103, 701, 359, 966, 858, 167, 601, 745, 419, 506, 569, 629, 328, 817, 108, 162, 578, 604, 898, 766, 782, 917, 930, 335, 934, 118, 765, 860, 359, 849, 724, 653, 662, 915, 337, 820, 970, 229, 263, 778, 259, 911, 432, 527, 365, 916, 325, 301, 112, 252, 163, 2, 55, 995, 269, 492, 539, 829, 21, 455, 123, 730, 620, 12, 932, 783, 368, 691, 180, 850, 267, 698, 907, 933, 536, 611, 992, 671, 79, 788, 599, 305, 997, 808, 547, 880, 52, 188, 507, 175, 301, 485, 579, 23, 284, 657, 515, 328, 751, 180, 821, 993, 397, 26, 7, 430, 15, 59, 510, 92, 206, 793, 200, 700, 130, 733, 901, 426, 735, 731, 101, 320, 616, 864, 825, 730, 911, 362, 728, 233, 641, 31, 553, 893, 510, 402, 498, 283, 455, 607, 478, 742, 191, 563, 901, 851, 550, 627, 405, 892, 708, 298, 902, 426, 249, 888, 449, 701, 615, 378, 654, 774, 680, 768, 812, 643, 66, 387, 478, 647, 352, 502, 979, 642, 517, 532, 205, 198, 769, 910, 75, 171, 449, 343, 306, 520, 821, 808, 415, 163, 397, 161, 441, 10, 872, 586, 528, 43, 913, 502, 323, 452, 786, 703, 153, 417, 261, 678, 45, 22, 320, 85, 988, 240, 938, 276, 257, 616, 613, 653, 219, 494, 372, 360, 853, 212, 718, 483, 73, 683, 333, 522, 45, 144, 378, 328, 948, 705, 943, 127, 967, 505, 514, 494, 868, 889, 324, 374, 239, 91, 131, 306, 279, 256, 242, 42, 80, 550, 593, 653, 476, 292, 315, 22, 908, 680, 473, 359, 162, 812, 628, 9, 561, 40, 447},
{340, 914, 682, 825, 957, 516, 302, 922, 830, 582, 470, 19, 178, 775, 29, 376, 122, 880, 320, 100, 170, 298, 787, 588, 585, 696, 609, 272, 566, 130, 786, 252, 942, 887, 170, 899, 803, 619, 460, 644, 46, 579, 148, 2, 372, 372, 666, 330, 632, 249, 787, 963, 769, 827, 445, 102, 810, 87, 690, 318, 510, 618, 486, 607, 255, 441, 359, 651, 816, 88, 754, 383, 352, 331, 68, 993, 842, 626, 938, 236, 786, 321, 369, 255, 556, 709, 642, 197, 300, 268, 775, 550, 626, 795, 515, 487, 623, 707, 429, 493, 948, 458, 723, 217, 803, 901, 803, 781, 656, 420, 454, 764, 429, 826, 738, 677, 740, 363, 371, 54, 479, 597, 362, 190, 630, 671, 201, 170, 802, 125, 696, 57, 366, 501, 874, 38, 437, 10, 2, 857, 207, 816, 895, 114, 289, 938, 157, 832, 800, 284, 872, 292, 888, 125, 628, 242, 277, 183, 376, 490, 216, 529, 828, 356, 871, 715, 557, 617, 842, 915, 912, 393, 946, 356, 201, 884, 863, 983, 317, 998, 528, 156, 138, 664, 376, 111, 590, 99, 714, 117, 192, 348, 470, 477, 313, 196, 568, 61, 89, 921, 992, 575, 165, 459, 370, 614, 998, 211, 560, 398, 429, 172, 321, 216, 651, 994, 557, 803, 499, 382, 90, 285, 177, 458, 118, 836, 172, 833, 784, 953, 120, 685, 318, 30, 798, 506, 243, 998, 292, 143, 80, 938, 568, 349, 727, 867, 387, 377, 508, 449, 499, 49, 408, 953, 542, 361, 668, 617, 927, 892, 239, 503, 263, 219, 28, 53, 539, 83, 88, 802, 395, 272, 56, 137, 258, 69, 241, 546, 62, 611, 716, 573, 531, 733, 639, 520, 749, 671, 853, 52, 817, 518, 459, 998, 959, 487, 690, 48, 328, 810, 908, 507, 115, 613, 943, 12, 317, 190, 343, 834, 624, 900, 284, 492, 482, 352, 70, 437, 312, 587, 136, 932, 263, 795, 453, 653, 606, 417, 54, 190, 100, 609, 177, 334, 189, 738, 158, 24, 946, 935, 796, 820, 9, 792, 377, 90, 590, 945, 914, 394, 860, 645, 477, 190, 580, 405, 626},
{590, 922, 471, 125, 824, 811, 168, 65, 44, 966, 148, 458, 285, 73, 173, 192, 722, 129, 368, 923, 834, 102, 782, 171, 736, 448, 722, 346, 731, 952, 537, 951, 84, 576, 463, 492, 112, 720, 671, 920, 989, 347, 908, 588, 15, 936, 955, 739, 741, 125, 689, 566, 53, 169, 706, 724, 152, 115, 293, 983, 519, 640, 52, 388, 45, 55, 625, 900, 923, 913, 771, 7, 420, 959, 530, 165, 251, 935, 302, 314, 186, 859, 487, 860, 445, 4, 732, 705, 588, 692, 932, 913, 904, 449, 888, 550, 764, 786, 923, 81, 984, 83, 811, 475, 32, 604, 94, 810, 805, 713, 239, 747, 827, 669, 108, 726, 861, 288, 901, 99, 437, 864, 75, 708, 212, 448, 730, 624, 902, 513, 631, 818, 273, 557, 300, 605, 765, 930, 635, 549, 476, 502, 83, 376, 521, 359, 701, 149, 320, 817, 371, 595, 954, 481, 15, 999, 573, 929, 914, 541, 725, 912, 138, 282, 662, 578, 633, 278, 863, 373, 770, 435, 496, 713, 979, 828, 68, 447, 667, 128, 274, 412, 771, 702, 945, 112, 162, 740, 7, 632, 588, 393, 595, 469, 24, 601, 818, 831, 73, 713, 171, 341, 582, 449, 254, 775, 687, 78, 326, 663, 344, 873, 138, 65, 797, 98, 681, 858, 549, 719, 754, 200, 130, 104, 709, 597, 373, 687, 348, 220, 963, 449, 683, 645, 741, 630, 239, 229, 614, 726, 580, 700, 955, 267, 56, 348, 64, 236, 84, 415, 585, 322, 860, 903, 800, 344, 93, 14, 344, 309, 187, 897, 210, 574, 355, 189, 893, 463, 261, 66, 104, 559, 152, 205, 796, 550, 920, 66, 199, 208, 149, 378, 59, 546, 9, 602, 659, 706, 829, 358, 983, 422, 251, 543, 3, 205, 143, 899, 287, 522, 898, 317, 971, 329, 266, 28, 684, 282, 646, 155, 195, 844, 624, 801, 396, 262, 604, 962, 726, 119, 563, 67, 297, 737, 333, 892, 787, 224, 316, 912, 651, 351, 214, 900, 293, 806, 165, 721, 642, 536, 686, 843, 7, 72, 935, 12, 163, 722, 105, 921, 390, 516, 225, 494, 565, 554, 241, 514},
{488, 257, 1, 10, 327, 607, 706, 702, 436, 72, 469, 283, 847, 352, 807, 49, 400, 521, 362, 664, 821, 334, 605, 406, 70, 760, 31, 283, 909, 827, 203, 838, 988, 903, 986, 298, 649, 445, 525, 928, 349, 58, 796, 159, 822, 435, 106, 34, 52, 383, 467, 54, 734, 659, 668, 294, 127, 804, 717, 989, 113, 499, 505, 438, 844, 222, 778, 150, 572, 155, 920, 686, 99, 346, 625, 483, 875, 106, 282, 309, 896, 516, 770, 674, 421, 690, 414, 633, 29, 119, 30, 954, 682, 71, 390, 550, 267, 458, 894, 384, 553, 53, 959, 829, 652, 209, 406, 581, 795, 501, 158, 788, 723, 800, 677, 30, 58, 349, 843, 108, 754, 353, 466, 423, 174, 428, 202, 861, 341, 29, 422, 700, 682, 614, 478, 50, 917, 905, 926, 713, 792, 27, 451, 188, 32, 744, 656, 688, 241, 263, 429, 750, 459, 259, 260, 920, 751, 917, 784, 534, 500, 750, 814, 368, 59, 866, 292, 216, 27, 223, 930, 75, 691, 52, 790, 682, 122, 344, 662, 600, 982, 767, 944, 913, 386, 858, 626, 871, 10, 671, 123, 483, 250, 322, 950, 154, 424, 22, 653, 964, 872, 272, 973, 39, 373, 863, 989, 809, 448, 186, 818, 649, 972, 174, 548, 480, 25, 862, 245, 474, 39, 182, 240, 903, 144, 59, 428, 513, 42, 367, 960, 542, 894, 531, 546, 656, 468, 865, 569, 619, 216, 807, 338, 468, 80, 280, 118, 331, 525, 340, 5, 819, 745, 127, 343, 55, 2, 870, 120, 22, 823, 403, 713, 894, 117, 140, 432, 402, 297, 29, 523, 84, 232, 299, 704, 495, 108, 136, 828, 63, 357, 638, 988, 266, 414, 445, 219, 281, 390, 493, 975, 58, 717, 230, 723, 10, 433, 443, 324, 175, 67, 593, 342, 741, 1, 162, 96, 285, 800, 52, 991, 952, 221, 548, 714, 60, 531, 663, 880, 293, 341, 972, 73, 740, 327, 186, 573, 505, 142, 784, 687, 538, 308, 15, 283, 608, 76, 419, 63, 68, 96, 865, 137, 170, 210, 726, 627, 211, 846, 467, 458, 700, 325, 393, 917, 113, 799, 735, 320},
{473, 734, 552, 879, 224, 570, 166, 888, 328, 653, 963, 457, 558, 631, 450, 339, 250, 221, 365, 834, 607, 696, 531, 351, 782, 481, 861, 997, 577, 951, 603, 456, 568, 928, 469, 505, 874, 365, 789, 761, 576, 428, 172, 604, 16, 498, 482, 811, 803, 615, 106, 94, 396, 564, 589, 619, 522, 83, 737, 586, 579, 652, 168, 119, 349, 956, 142, 40, 43, 356, 195, 579, 711, 687, 758, 733, 554, 249, 452, 728, 484, 132, 216, 60, 598, 905, 764, 627, 880, 265, 114, 787, 539, 448, 96, 545, 869, 101, 848, 684, 438, 805, 211, 371, 680, 658, 877, 653, 701, 147, 922, 317, 205, 44, 1, 765, 985, 209, 142, 945, 330, 999, 550, 845, 45, 448, 230, 781, 518, 481, 590, 489, 425, 258, 384, 33, 174, 110, 488, 678, 208, 677, 50, 183, 605, 574, 475, 366, 201, 316, 592, 490, 628, 317, 53, 691, 276, 451, 726, 642, 113, 90, 378, 713, 767, 495, 430, 100, 25, 202, 953, 808, 109, 298, 338, 899, 763, 554, 283, 126, 128, 990, 849, 921, 846, 777, 308, 745, 696, 326, 443, 914, 235, 75, 779, 435, 626, 716, 933, 769, 862, 580, 900, 149, 29, 445, 658, 835, 166, 336, 866, 658, 519, 733, 836, 290, 651, 200, 160, 971, 985, 640, 577, 821, 826, 281, 715, 426, 810, 989, 297, 167, 22, 727, 326, 595, 746, 790, 508, 243, 919, 954, 884, 416, 861, 849, 238, 926, 830, 632, 344, 178, 223, 543, 554, 726, 30, 35, 499, 257, 267, 937, 943, 869, 689, 562, 950, 754, 4, 740, 523, 585, 221, 534, 879, 430, 502, 767, 327, 598, 71, 575, 472, 565, 325, 892, 164, 92, 274, 179, 133, 663, 835, 685, 766, 676, 309, 287, 830, 126, 559, 200, 242, 126, 70, 956, 199, 298, 20, 605, 41, 891, 988, 455, 257, 534, 724, 635, 946, 685, 620, 357, 852, 164, 240, 50, 827, 629, 238, 484, 209, 521, 507, 568, 121, 755, 238, 766, 165, 423, 845, 988, 303, 867, 407, 352, 997, 732, 312, 440, 835, 43, 353, 555, 919, 919, 339, 981, 308, 280},
{647, 471, 624, 751, 828, 998, 789, 79, 479, 334, 490, 505, 139, 118, 604, 953, 882, 966, 313, 360, 615, 573, 40, 173, 816, 883, 666, 853, 618, 259, 710, 217, 674, 891, 267, 543, 206, 904, 570, 745, 3, 268, 948, 277, 903, 84, 820, 88, 486, 850, 118, 718, 236, 29, 186, 513, 509, 614, 789, 10, 945, 431, 307, 827, 830, 569, 587, 722, 82, 708, 240, 37, 181, 75, 297, 498, 365, 440, 296, 116, 829, 874, 857, 14, 532, 913, 701, 143, 422, 464, 893, 169, 560, 6, 839, 328, 649, 605, 147, 638, 965, 854, 40, 693, 523, 70, 436, 190, 590, 15, 160, 437, 345, 954, 990, 408, 557, 70, 456, 237, 634, 139, 286, 715, 323, 899, 473, 25, 592, 725, 731, 840, 997, 58, 938, 3, 885, 541, 839, 126, 358, 980, 907, 900, 813, 27, 717, 320, 239, 961, 648, 775, 148, 110, 20, 749, 214, 121, 991, 842, 204, 879, 703, 8, 755, 810, 147, 127, 940, 155, 216, 573, 287, 172, 227, 947, 143, 267, 963, 980, 820, 800, 943, 504, 981, 655, 189, 449, 80, 721, 249, 91, 510, 92, 608, 120, 314, 138, 881, 693, 888, 623, 428, 279, 200, 651, 66, 8, 392, 570, 609, 229, 537, 925, 858, 137, 512, 148, 471, 691, 628, 981, 873, 483, 678, 555, 32, 890, 555, 602, 373, 620, 428, 611, 668, 710, 752, 530, 965, 150, 59, 270, 972, 568, 557, 436, 405, 818, 64, 585, 921, 906, 677, 857, 213, 412, 914, 984, 708, 439, 731, 559, 132, 205, 971, 898, 866, 544, 300, 31, 633, 969, 598, 110, 543, 467, 165, 69, 972, 829, 750, 383, 19, 204, 652, 669, 537, 466, 618, 215, 873, 219, 265, 660, 462, 453, 107, 792, 372, 407, 23, 807, 763, 740, 207, 475, 955, 910, 193, 330, 467, 549, 564, 404, 956, 723, 334, 47, 487, 202, 790, 47, 875, 198, 821, 610, 221, 665, 316, 785, 859, 863, 299, 515, 118, 807, 849, 858, 232, 202, 710, 872, 701, 655, 720, 249, 189, 263, 849, 122, 776, 164, 679, 345, 26, 278, 606, 168, 832, 266, 942},
{470, 508, 655, 323, 621, 851, 232, 536, 588, 253, 14, 953, 128, 28, 591, 242, 792, 222, 133, 929, 968, 142, 154, 689, 394, 709, 977, 932, 407, 553, 889, 403, 698, 417, 191, 981, 480, 81, 687, 854, 798, 497, 691, 514, 187, 233, 266, 807, 966, 663, 272, 397, 296, 541, 755, 532, 487, 741, 356, 30, 217, 980, 713, 658, 993, 271, 285, 970, 642, 718, 607, 740, 655, 16, 802, 770, 925, 667, 20, 837, 799, 507, 618, 916, 393, 604, 99, 632, 781, 971, 191, 98, 59, 817, 39, 922, 209, 264, 146, 175, 431, 538, 578, 517, 832, 672, 941, 575, 389, 639, 823, 834, 700, 688, 713, 994, 317, 337, 887, 774, 394, 142, 406, 622, 967, 886, 125, 637, 442, 267, 617, 283, 752, 511, 983, 162, 229, 614, 778, 188, 422, 51, 745, 978, 994, 869, 574, 222, 341, 65, 662, 16, 752, 991, 744, 934, 813, 389, 272, 679, 196, 246, 669, 661, 165, 371, 904, 845, 946, 12, 364, 459, 542, 282, 654, 962, 713, 485, 804, 773, 641, 637, 328, 829, 190, 617, 700, 16, 800, 421, 157, 831, 785, 928, 131, 480, 199, 445, 261, 700, 515, 38, 678, 269, 80, 335, 175, 89, 625, 40, 960, 154, 241, 878, 919, 519, 797, 76, 690, 561, 225, 736, 409, 498, 7, 730, 684, 81, 920, 729, 208, 856, 362, 98, 434, 205, 547, 216, 904, 602, 526, 647, 161, 198, 206, 286, 624, 859, 522, 240, 486, 288, 477, 755, 453, 668, 39, 914, 105, 599, 753, 209, 782, 715, 538, 311, 127, 502, 278, 577, 861, 290, 771, 829, 957, 311, 82, 979, 52, 11, 512, 909, 885, 494, 300, 830, 581, 132, 611, 20, 748, 837, 542, 439, 798, 481, 692, 244, 340, 227, 300, 600, 200, 316, 68, 555, 444, 973, 591, 904, 755, 665, 720, 163, 643, 870, 292, 759, 297, 950, 415, 521, 289, 390, 869, 368, 990, 937, 291, 889, 294, 708, 469, 139, 164, 313, 504, 538, 624, 484, 572, 279, 2, 453, 748, 966, 645, 559, 661, 546, 888, 167, 758, 754, 710, 9, 627, 410, 413, 475, 99, 901},
{648, 226, 849, 102, 298, 727, 839, 778, 24, 956, 173, 298, 792, 597, 951, 31, 338, 460, 232, 416, 270, 772, 486, 83, 547, 230, 832, 774, 81, 371, 893, 74, 553, 943, 339, 94, 904, 402, 40, 357, 553, 567, 294, 78, 133, 812, 778, 914, 401, 795, 699, 74, 59, 927, 134, 318, 369, 247, 691, 39, 870, 318, 448, 71, 952, 94, 554, 301, 748, 425, 64, 480, 628, 54, 280, 861, 554, 462, 377, 385, 680, 916, 132, 223, 908, 419, 340, 385, 523, 27, 921, 973, 661, 201, 747, 412, 136, 410, 957, 630, 21, 217, 898, 775, 527, 460, 862, 467, 882, 960, 442, 22, 359, 364, 729, 322, 99, 385, 511, 245, 124, 689, 317, 618, 731, 126, 468, 700, 535, 816, 237, 99, 544, 871, 846, 829, 9, 135, 351, 987, 261, 425, 310, 72, 384, 176, 827, 600, 359, 273, 729, 64, 291, 124, 564, 606, 405, 699, 697, 107, 785, 359, 936, 464, 228, 746, 60, 989, 175, 976, 78, 741, 420, 581, 311, 560, 150, 450, 151, 322, 957, 63, 915, 628, 638, 863, 314, 741, 948, 555, 905, 98, 20, 387, 339, 124, 781, 307, 328, 402, 587, 933, 89, 471, 195, 917, 366, 643, 416, 153, 319, 297, 33, 724, 237, 19, 15, 208, 493, 820, 711, 133, 178, 421, 420, 996, 589, 240, 669, 211, 115, 308, 629, 749, 86, 797, 301, 83, 838, 216, 492, 176, 600, 641, 175, 941, 773, 523, 491, 593, 876, 709, 528, 708, 679, 334, 28, 706, 81, 137, 317, 655, 843, 588, 120, 958, 619, 915, 351, 546, 627, 769, 657, 648, 918, 794, 264, 73, 426, 812, 602, 216, 900, 670, 358, 667, 381, 86, 782, 395, 83, 935, 574, 966, 430, 555, 181, 137, 530, 546, 126, 496, 521, 494, 844, 497, 107, 781, 545, 369, 76, 353, 834, 904, 734, 935, 184, 40, 37, 649, 836, 490, 617, 440, 420, 435, 76, 999, 347, 396, 644, 139, 97, 996, 792, 642, 559, 255, 413, 719, 967, 437, 998, 82, 364, 240, 595, 531, 157, 273, 404, 704, 99, 393, 596, 275, 918, 415, 297, 481, 935, 132, 713},
{316, 195, 387, 51, 125, 63, 120, 253, 589, 765, 960, 525, 319, 50, 931, 315, 354, 993, 264, 715, 864, 38, 176, 192, 278, 431, 658, 216, 874, 654, 20, 603, 580, 829, 938, 337, 380, 795, 265, 218, 241, 292, 660, 950, 942, 667, 433, 161, 498, 616, 635, 407, 161, 734, 505, 475, 131, 73, 909, 93, 164, 471, 263, 746, 260, 164, 757, 474, 468, 56, 400, 327, 662, 101, 511, 699, 803, 403, 823, 897, 826, 55, 262, 90, 777, 185, 832, 293, 251, 420, 743, 115, 486, 726, 92, 823, 709, 629, 935, 667, 437, 924, 576, 533, 485, 279, 212, 731, 395, 592, 918, 109, 797, 588, 56, 773, 25, 850, 826, 393, 928, 467, 658, 432, 422, 494, 505, 712, 762, 702, 956, 348, 921, 444, 251, 480, 754, 32, 897, 207, 775, 704, 651, 765, 544, 142, 984, 339, 579, 460, 60, 811, 713, 838, 416, 443, 546, 203, 273, 678, 427, 917, 348, 277, 7, 42, 594, 501, 935, 514, 104, 395, 731, 589, 690, 39, 191, 932, 361, 263, 957, 62, 939, 498, 56, 241, 633, 329, 215, 493, 182, 817, 842, 147, 584, 890, 328, 212, 51, 881, 181, 916, 986, 838, 201, 960, 313, 371, 437, 363, 361, 592, 255, 324, 899, 198, 188, 178, 620, 843, 613, 337, 530, 746, 475, 113, 242, 903, 431, 436, 146, 359, 842, 792, 785, 759, 940, 137, 527, 790, 379, 169, 809, 166, 119, 89, 823, 580, 268, 902, 476, 347, 50, 399, 877, 549, 566, 162, 398, 149, 377, 366, 548, 878, 230, 645, 540, 727, 446, 32, 442, 481, 584, 814, 204, 92, 989, 173, 740, 617, 763, 627, 423, 92, 498, 650, 39, 964, 840, 286, 292, 685, 602, 247, 378, 600, 628, 763, 58, 564, 117, 393, 891, 601, 415, 135, 996, 466, 573, 418, 753, 218, 94, 983, 403, 760, 391, 237, 336, 831, 447, 391, 220, 142, 20, 594, 767, 149, 560, 297, 124, 507, 681, 291, 308, 344, 609, 238, 118, 348, 578, 996, 226, 105, 511, 726, 916, 250, 668, 587, 91, 783, 165, 817, 692, 318, 376, 122, 669, 127, 295, 597, 975, 622},
{861, 856, 840, 265, 102, 641, 760, 987, 695, 956, 215, 942, 243, 696, 113, 708, 65, 785, 374, 185, 853, 114, 838, 28, 862, 916, 917, 859, 615, 794, 11, 463, 294, 275, 730, 838, 99, 676, 403, 294, 829, 33, 157, 721, 879, 25, 131, 822, 658, 176, 2, 328, 149, 54, 58, 207, 968, 868, 535, 408, 826, 634, 757, 980, 695, 20, 930, 284, 406, 127, 91, 561, 579, 688, 802, 387, 11, 592, 691, 351, 663, 234, 782, 875, 417, 907, 923, 254, 587, 345, 296, 819, 25, 560, 89, 690, 288, 346, 979, 630, 1, 131, 961, 442, 970, 425, 400, 715, 111, 736, 936, 913, 473, 678, 15, 550, 955, 962, 335, 630, 373, 117, 531, 635, 601, 46, 687, 75, 461, 28, 123, 31, 858, 319, 30, 173, 439, 329, 132, 448, 683, 212, 521, 26, 954, 834, 233, 80, 438, 296, 923, 713, 347, 538, 194, 641, 13, 177, 764, 252, 695, 345, 684, 334, 31, 217, 207, 43, 57, 878, 796, 671, 641, 396, 951, 384, 994, 252, 209, 386, 622, 791, 704, 888, 756, 969, 164, 877, 791, 486, 24, 883, 728, 331, 690, 898, 965, 886, 586, 123, 20, 987, 743, 441, 949, 747, 181, 404, 288, 563, 190, 32, 291, 412, 978, 904, 176, 459, 807, 891, 804, 37, 875, 334, 977, 249, 739, 662, 85, 821, 966, 237, 375, 315, 62, 670, 509, 515, 446, 6, 387, 603, 405, 910, 462, 720, 489, 465, 871, 663, 791, 241, 774, 752, 904, 88, 205, 345, 125, 460, 611, 95, 633, 184, 5, 813, 9, 253, 299, 696, 360, 648, 995, 771, 807, 189, 830, 648, 821, 84, 397, 30, 137, 252, 32, 5, 588, 402, 437, 825, 209, 588, 639, 754, 388, 215, 853, 531, 699, 446, 760, 242, 252, 618, 507, 645, 73, 498, 473, 520, 60, 180, 462, 221, 535, 21, 537, 439, 257, 225, 137, 106, 43, 625, 464, 466, 822, 753, 415, 662, 37, 501, 435, 517, 759, 566, 806, 846, 844, 380, 798, 319, 687, 426, 27, 789, 900, 672, 138, 69, 314, 354, 618, 291, 237, 497, 157, 412, 849, 372, 461, 852, 901, 541, 855},
{10, 667, 288, 306, 153, 234, 974, 743, 210, 742, 348, 668, 109, 185, 861, 83, 595, 698, 847, 718, 923, 90, 795, 387, 433, 483, 13, 24, 746, 580, 692, 678, 287, 998, 766, 247, 864, 564, 965, 230, 310, 219, 175, 181, 548, 434, 529, 785, 1, 604, 683, 716, 966, 949, 344, 499, 428, 862, 465, 623, 792, 457, 463, 76, 203, 360, 458, 237, 417, 371, 774, 857, 710, 723, 934, 434, 896, 101, 909, 835, 378, 444, 675, 500, 44, 848, 19, 838, 995, 534, 83, 756, 293, 942, 374, 372, 357, 524, 820, 49, 248, 645, 995, 859, 742, 373, 804, 480, 46, 601, 780, 263, 12, 66, 629, 986, 932, 364, 812, 326, 332, 977, 766, 620, 706, 661, 838, 930, 804, 280, 111, 661, 907, 333, 99, 302, 502, 954, 710, 910, 908, 126, 972, 50, 713, 218, 756, 790, 298, 747, 151, 282, 377, 386, 179, 101, 199, 883, 292, 291, 9, 513, 412, 555, 425, 84, 362, 530, 621, 325, 173, 461, 605, 698, 121, 890, 404, 264, 335, 144, 686, 292, 465, 505, 205, 693, 225, 996, 447, 215, 572, 559, 57, 559, 923, 256, 921, 244, 70, 872, 283, 65, 409, 867, 881, 486, 674, 212, 947, 152, 620, 64, 763, 959, 5, 592, 678, 850, 769, 510, 688, 524, 549, 44, 111, 781, 496, 129, 478, 105, 955, 591, 497, 379, 678, 975, 792, 361, 143, 427, 234, 627, 6, 773, 800, 249, 907, 518, 336, 360, 617, 968, 25, 136, 3, 144, 119, 422, 419, 419, 246, 403, 888, 81, 619, 257, 884, 94, 623, 704, 610, 453, 509, 699, 434, 369, 419, 318, 513, 460, 540, 46, 730, 812, 970, 257, 757, 485, 774, 688, 456, 554, 809, 63, 824, 316, 121, 868, 418, 602, 70, 470, 485, 472, 962, 356, 61, 738, 575, 359, 937, 868, 876, 88, 706, 826, 259, 666, 58, 310, 719, 92, 129, 676, 807, 197, 988, 558, 608, 224, 264, 807, 664, 496, 505, 947, 558, 533, 161, 731, 800, 215, 881, 798, 793, 299, 501, 615, 891, 646, 201, 115, 9, 44, 259, 447, 790, 351, 328, 299, 98, 70, 341, 51, 453, 59},
{995, 879, 117, 326, 294, 580, 694, 260, 705, 481, 501, 652, 400, 344, 439, 173, 412, 536, 813, 691, 745, 85, 337, 4, 196, 465, 531, 48, 107, 62, 919, 686, 370, 325, 649, 460, 713, 563, 658, 512, 742, 151, 117, 60, 243, 711, 594, 341, 981, 489, 382, 15, 611, 661, 420, 310, 297, 866, 549, 99, 405, 567, 168, 218, 886, 157, 940, 999, 29, 930, 888, 13, 868, 117, 60, 400, 900, 187, 975, 59, 640, 558, 243, 158, 279, 644, 18, 100, 880, 896, 509, 112, 561, 148, 341, 110, 654, 76, 381, 321, 114, 68, 612, 445, 318, 95, 694, 799, 992, 486, 174, 975, 188, 627, 670, 32, 117, 691, 981, 127, 183, 482, 760, 828, 735, 342, 305, 1, 887, 876, 54, 324, 273, 916, 581, 5, 750, 774, 233, 156, 867, 311, 61, 668, 378, 776, 385, 143, 215, 697, 147, 564, 119, 285, 161, 1, 518, 6, 573, 517, 407, 954, 61, 900, 645, 645, 807, 528, 569, 651, 872, 921, 821, 323, 334, 79, 42, 414, 519, 693, 431, 83, 699, 749, 222, 152, 846, 786, 780, 915, 480, 334, 403, 78, 111, 647, 875, 564, 554, 857, 490, 98, 195, 129, 572, 378, 323, 192, 473, 663, 817, 917, 669, 342, 788, 186, 842, 812, 257, 410, 769, 628, 612, 484, 431, 389, 351, 832, 13, 299, 573, 466, 357, 689, 811, 667, 987, 10, 41, 978, 56, 7, 101, 674, 419, 835, 393, 787, 585, 831, 400, 63, 463, 585, 484, 918, 672, 677, 451, 615, 684, 207, 596, 331, 209, 780, 261, 817, 53, 155, 484, 574, 146, 167, 968, 287, 543, 832, 432, 373, 3, 810, 379, 55, 163, 468, 462, 316, 437, 884, 934, 505, 496, 46, 75, 55, 596, 329, 149, 22, 98, 145, 184, 712, 197, 246, 762, 632, 310, 809, 136, 420, 538, 834, 154, 220, 344, 808, 945, 141, 919, 871, 762, 85, 700, 891, 166, 234, 155, 973, 550, 918, 270, 924, 13, 417, 144, 117, 773, 486, 683, 989, 649, 55, 718, 173, 572, 570, 757, 841, 788, 953, 204, 431, 165, 968, 107, 314, 975, 88, 413, 354, 649, 617, 258, 544, 228},
{927, 33, 56, 694, 111, 855, 137, 908, 303, 596, 233, 632, 196, 774, 613, 981, 972, 516, 547, 728, 26, 237, 785, 44, 325, 868, 693, 639, 230, 266, 887, 783, 890, 897, 634, 335, 95, 36, 602, 747, 588, 440, 755, 7, 422, 984, 338, 575, 880, 732, 910, 725, 840, 745, 358, 89, 267, 300, 615, 864, 644, 234, 649, 871, 790, 894, 854, 574, 448, 484, 619, 261, 474, 681, 269, 811, 211, 51, 3, 858, 884, 132, 682, 695, 431, 73, 579, 989, 223, 335, 225, 218, 559, 317, 572, 733, 635, 677, 536, 575, 938, 800, 840, 426, 666, 101, 787, 628, 813, 799, 225, 783, 28, 402, 502, 283, 213, 359, 659, 34, 106, 272, 433, 787, 755, 605, 926, 703, 892, 31, 957, 233, 684, 457, 141, 959, 259, 276, 760, 772, 675, 575, 359, 645, 747, 894, 756, 318, 218, 607, 896, 398, 311, 141, 529, 747, 629, 95, 240, 516, 670, 748, 740, 894, 995, 590, 655, 437, 227, 272, 275, 817, 587, 836, 853, 5, 683, 128, 88, 148, 556, 93, 337, 895, 833, 26, 10, 510, 970, 919, 282, 855, 158, 764, 987, 305, 465, 28, 74, 652, 178, 583, 504, 360, 92, 7, 854, 870, 740, 545, 157, 223, 138, 23, 700, 957, 644, 629, 650, 115, 985, 817, 292, 159, 301, 530, 673, 826, 307, 586, 188, 236, 350, 326, 408, 47, 135, 571, 66, 120, 395, 515, 657, 926, 630, 451, 547, 878, 307, 93, 832, 879, 585, 855, 463, 664, 746, 647, 277, 887, 949, 595, 681, 518, 853, 680, 684, 837, 966, 424, 853, 179, 257, 592, 580, 662, 683, 435, 697, 302, 854, 59, 120, 291, 900, 408, 672, 719, 21, 748, 674, 695, 876, 693, 176, 642, 173, 585, 966, 533, 301, 470, 601, 950, 876, 17, 720, 181, 386, 450, 897, 962, 909, 994, 80, 154, 75, 372, 464, 325, 964, 621, 274, 193, 715, 859, 525, 928, 913, 675, 278, 541, 713, 473, 321, 988, 809, 472, 446, 170, 990, 51, 743, 671, 58, 755, 364, 984, 281, 651, 278, 941, 421, 594, 405, 270, 581, 699, 358, 492, 793, 481, 728, 898, 295, 153, 502, 923},
{918, 90, 706, 82, 872, 778, 846, 560, 466, 404, 30, 657, 5, 868, 934, 543, 166, 166, 954, 213, 666, 981, 873, 102, 899, 863, 464, 542, 558, 533, 226, 145, 938, 703, 298, 220, 748, 326, 254, 566, 759, 275, 113, 301, 572, 349, 364, 912, 97, 881, 255, 422, 80, 425, 883, 297, 176, 712, 871, 825, 589, 542, 518, 719, 287, 352, 374, 68, 144, 947, 116, 174, 141, 297, 461, 439, 929, 338, 587, 200, 662, 464, 222, 364, 938, 736, 107, 755, 175, 884, 25, 296, 448, 863, 953, 577, 119, 40, 209, 876, 106, 120, 606, 403, 761, 554, 801, 394, 669, 477, 948, 718, 552, 198, 743, 783, 711, 888, 714, 900, 55, 398, 385, 709, 829, 28, 517, 931, 638, 735, 214, 497, 169, 453, 91, 50, 348, 110, 68, 926, 308, 528, 598, 999, 627, 552, 316, 155, 805, 669, 123, 769, 825, 876, 754, 303, 956, 767, 705, 957, 661, 631, 194, 460, 574, 852, 547, 172, 69, 69, 976, 131, 818, 342, 221, 98, 108, 67, 931, 398, 409, 455, 36, 130, 846, 236, 472, 318, 743, 614, 887, 722, 419, 646, 862, 311, 730, 928, 231, 834, 660, 896, 855, 583, 402, 92, 19, 134, 4, 478, 219, 832, 584, 256, 741, 839, 572, 634, 867, 764, 190, 744, 907, 356, 623, 179, 607, 194, 935, 660, 598, 93, 794, 988, 710, 737, 524, 735, 944, 104, 804, 101, 825, 384, 603, 995, 657, 460, 551, 657, 957, 449, 42, 83, 945, 482, 773, 118, 499, 682, 337, 303, 472, 234, 707, 484, 557, 566, 186, 747, 181, 928, 409, 458, 62, 46, 543, 53, 118, 129, 672, 764, 401, 237, 691, 646, 618, 893, 715, 91, 557, 865, 151, 553, 464, 269, 66, 337, 994, 462, 458, 90, 869, 755, 313, 159, 783, 584, 126, 43, 424, 663, 661, 983, 694, 582, 329, 147, 342, 480, 453, 970, 260, 678, 127, 955, 639, 666, 92, 629, 32, 380, 254, 435, 100, 510, 43, 32, 532, 499, 807, 858, 138, 931, 829, 844, 624, 290, 351, 836, 933, 403, 205, 635, 308, 484, 263, 569, 439, 348, 932, 143, 159, 231, 362, 639, 133, 697, 839},
{501, 921, 227, 121, 949, 621, 467, 67, 583, 967, 541, 7, 607, 469, 524, 717, 964, 637, 911, 774, 872, 846, 921, 287, 174, 676, 533, 723, 470, 885, 454, 592, 219, 277, 606, 265, 866, 834, 327, 96, 575, 442, 162, 309, 342, 391, 82, 822, 103, 683, 932, 305, 931, 808, 175, 272, 601, 268, 302, 957, 572, 664, 850, 27, 945, 520, 579, 946, 41, 379, 212, 962, 30, 904, 143, 182, 509, 863, 616, 247, 957, 892, 199, 397, 804, 903, 812, 549, 203, 828, 197, 144, 700, 144, 444, 137, 677, 311, 153, 472, 823, 789, 830, 784, 935, 803, 414, 865, 14, 380, 150, 670, 959, 481, 625, 205, 207, 260, 447, 693, 225, 533, 919, 847, 186, 599, 77, 868, 27, 430, 604, 87, 772, 80, 508, 750, 252, 878, 859, 570, 296, 618, 610, 42, 62, 456, 220, 462, 421, 727, 837, 819, 198, 172, 857, 400, 664, 387, 930, 58, 855, 422, 944, 563, 185, 537, 57, 367, 348, 108, 592, 381, 679, 546, 508, 128, 2, 871, 168, 694, 457, 290, 376, 448, 5, 715, 978, 427, 47, 678, 828, 611, 150, 480, 619, 50, 888, 764, 887, 953, 697, 913, 472, 407, 969, 782, 864, 334, 799, 341, 166, 690, 467, 742, 832, 633, 196, 148, 977, 623, 745, 438, 783, 942, 153, 581, 470, 153, 272, 975, 373, 389, 822, 608, 878, 188, 302, 197, 388, 756, 515, 805, 7, 212, 401, 605, 338, 332, 562, 535, 672, 787, 146, 658, 805, 658, 744, 880, 946, 282, 576, 539, 465, 114, 483, 96, 727, 348, 244, 772, 901, 493, 256, 541, 406, 964, 922, 292, 628, 26, 945, 355, 646, 93, 330, 836, 948, 490, 73, 342, 555, 241, 426, 771, 555, 370, 123, 821, 747, 495, 137, 707, 17, 206, 429, 425, 92, 810, 566, 533, 531, 594, 311, 73, 151, 622, 52, 713, 614, 482, 428, 632, 576, 69, 621, 981, 592, 703, 556, 973, 993, 380, 701, 776, 63, 927, 245, 444, 134, 236, 153, 40, 706, 436, 62, 962, 242, 144, 959, 246, 106, 420, 380, 252, 17, 127, 167, 764, 444, 710, 916, 931, 624, 294, 883, 930, 264, 123, 474, 462},
{529, 66, 447, 426, 635, 842, 607, 184, 181, 137, 71, 845, 423, 524, 154, 930, 819, 445, 565, 545, 514, 32, 844, 968, 917, 725, 951, 160, 164, 997, 452, 232, 32, 429, 70, 379, 857, 617, 182, 108, 81, 74, 493, 856, 324, 376, 260, 258, 322, 307, 347, 374, 603, 602, 934, 198, 543, 263, 846, 597, 306, 56, 336, 653, 239, 978, 659, 71, 464, 950, 909, 894, 798, 946, 402, 290, 617, 107, 373, 574, 963, 97, 861, 967, 26, 148, 421, 778, 81, 747, 782, 873, 155, 914, 604, 291, 920, 350, 285, 837, 833, 539, 123, 312, 83, 48, 259, 799, 719, 832, 467, 110, 244, 385, 309, 7, 972, 929, 127, 361, 795, 677, 90, 727, 278, 359, 816, 138, 608, 883, 102, 90, 624, 960, 932, 816, 966, 994, 291, 920, 456, 335, 189, 370, 930, 272, 32, 677, 126, 747, 652, 787, 654, 859, 322, 857, 771, 654, 616, 620, 422, 587, 268, 486, 9, 295, 40, 877, 417, 9, 210, 544, 110, 2, 491, 772, 516, 977, 45, 463, 525, 179, 817, 46, 597, 314, 594, 34, 932, 104, 984, 869, 154, 354, 105, 350, 169, 995, 807, 550, 229, 447, 190, 655, 727, 6, 512, 537, 930, 683, 823, 196, 678, 83, 357, 467, 58, 427, 191, 450, 193, 859, 749, 230, 607, 427, 503, 341, 32, 11, 576, 302, 169, 576, 87, 310, 668, 741, 705, 823, 491, 622, 343, 343, 927, 342, 861, 174, 734, 356, 410, 331, 292, 980, 336, 23, 172, 113, 591, 371, 258, 159, 233, 89, 372, 606, 912, 866, 407, 511, 219, 117, 121, 418, 362, 551, 64, 863, 966, 786, 611, 678, 661, 790, 701, 744, 771, 556, 661, 751, 641, 773, 484, 747, 27, 678, 986, 961, 563, 469, 585, 457, 526, 867, 796, 679, 957, 448, 190, 825, 801, 365, 228, 300, 817, 937, 308, 205, 945, 394, 397, 929, 234, 726, 809, 447, 636, 228, 74, 814, 788, 780, 314, 748, 305, 377, 262, 838, 313, 676, 837, 170, 674, 617, 198, 606, 811, 230, 335, 4, 109, 861, 536, 947, 663, 915, 536, 411, 489, 107, 745, 864, 415, 957, 722, 13, 569, 937, 987, 243, 753},
{196, 327, 356, 23, 343, 983, 865, 482, 85, 519, 428, 630, 813, 659, 536, 606, 456, 160, 650, 326, 971, 566, 362, 822, 890, 764, 23, 46, 219, 372, 495, 32, 821, 385, 351, 598, 140, 913, 879, 680, 732, 542, 719, 4, 643, 602, 817, 29, 63, 604, 654, 23, 94, 198, 390, 665, 676, 266, 632, 806, 904, 209, 45, 866, 20, 10, 884, 912, 347, 453, 893, 609, 324, 702, 638, 100, 549, 538, 527, 346, 468, 717, 262, 650, 934, 290, 390, 848, 358, 230, 957, 149, 583, 385, 28, 725, 954, 581, 936, 930, 251, 726, 743, 429, 287, 843, 266, 671, 42, 313, 476, 836, 88, 4, 787, 801, 966, 632, 943, 747, 900, 387, 812, 721, 881, 846, 360, 863, 777, 228, 495, 12, 532, 286, 262, 102, 930, 533, 70, 113, 711, 23, 268, 304, 944, 620, 386, 152, 754, 546, 798, 685, 423, 995, 395, 909, 855, 803, 74, 606, 175, 442, 542, 102, 966, 134, 930, 492, 307, 484, 214, 456, 241, 854, 265, 982, 836, 609, 682, 277, 274, 530, 148, 656, 683, 895, 222, 462, 627, 187, 914, 891, 158, 941, 310, 176, 378, 989, 785, 715, 311, 240, 111, 636, 663, 163, 802, 705, 752, 393, 638, 724, 492, 159, 156, 297, 806, 810, 308, 372, 274, 360, 176, 49, 112, 784, 773, 929, 832, 816, 566, 735, 43, 91, 240, 986, 881, 806, 656, 311, 545, 509, 678, 327, 192, 223, 739, 111, 266, 897, 610, 5, 960, 72, 792, 840, 86, 736, 397, 726, 96, 584, 124, 215, 409, 261, 203, 999, 423, 728, 757, 306, 845, 601, 58, 770, 44, 129, 597, 943, 119, 550, 703, 481, 334, 669, 683, 744, 337, 880, 135, 781, 327, 297, 72, 612, 984, 328, 34, 332, 461, 793, 157, 775, 238, 659, 489, 414, 934, 544, 484, 704, 481, 450, 717, 304, 157, 554, 340, 494, 128, 484, 674, 611, 34, 258, 689, 532, 113, 901, 756, 55, 72, 866, 247, 544, 671, 507, 11, 356, 541, 289, 741, 341, 266, 869, 526, 240, 197, 887, 665, 860, 766, 114, 934, 724, 270, 593, 75, 322, 268, 553, 199, 161, 746, 148, 218, 590, 137, 544, 111, 747},
{157, 488, 75, 64, 159, 220, 176, 451, 363, 554, 71, 690, 901, 997, 815, 560, 84, 23, 549, 921, 659, 988, 49, 323, 159, 755, 783, 701, 579, 730, 97, 366, 764, 961, 585, 817, 854, 859, 573, 868, 93, 365, 810, 193, 69, 639, 192, 687, 225, 878, 311, 961, 85, 477, 165, 894, 174, 558, 139, 391, 71, 830, 722, 429, 362, 869, 44, 6, 534, 138, 418, 829, 995, 518, 576, 475, 480, 684, 160, 239, 86, 375, 337, 114, 42, 527, 136, 164, 111, 260, 181, 57, 226, 898, 55, 663, 540, 612, 421, 466, 600, 704, 390, 953, 730, 306, 337, 328, 72, 33, 540, 613, 910, 132, 537, 686, 82, 814, 91, 863, 258, 731, 973, 391, 873, 23, 600, 620, 306, 973, 666, 692, 655, 55, 582, 273, 154, 72, 429, 261, 796, 204, 615, 407, 237, 944, 156, 475, 417, 358, 756, 921, 634, 592, 462, 44, 977, 308, 671, 244, 157, 512, 735, 307, 732, 336, 185, 612, 700, 421, 898, 791, 167, 952, 138, 616, 603, 802, 429, 862, 775, 944, 769, 466, 1, 47, 439, 533, 800, 121, 17, 689, 407, 216, 867, 786, 783, 397, 420, 220, 24, 677, 91, 979, 52, 128, 566, 74, 495, 159, 484, 164, 510, 810, 237, 84, 125, 964, 761, 406, 326, 575, 685, 390, 763, 387, 117, 436, 400, 93, 728, 645, 882, 589, 490, 212, 718, 794, 571, 141, 546, 457, 495, 228, 952, 564, 540, 322, 292, 213, 817, 650, 926, 276, 153, 374, 150, 797, 128, 610, 805, 828, 202, 870, 281, 291, 813, 241, 124, 591, 778, 654, 987, 893, 84, 284, 21, 365, 401, 442, 70, 245, 238, 354, 284, 300, 692, 831, 781, 78, 165, 189, 78, 373, 268, 690, 853, 507, 351, 470, 465, 347, 764, 114, 351, 444, 976, 43, 76, 348, 187, 429, 321, 923, 867, 619, 555, 445, 997, 934, 490, 365, 390, 300, 638, 899, 623, 342, 503, 17, 555, 489, 967, 948, 306, 127, 416, 130, 904, 43, 29, 303, 472, 242, 461, 615, 976, 720, 797, 714, 55, 899, 304, 196, 393, 292, 975, 294, 424, 384, 291, 351, 879, 861, 932, 450, 878, 102, 410, 544, 758, 250, 695},
{599, 849, 322, 978, 513, 727, 517, 627, 53, 262, 309, 266, 658, 966, 960, 633, 705, 711, 826, 571, 764, 875, 159, 27, 437, 398, 189, 462, 613, 991, 906, 404, 365, 984, 344, 192, 228, 893, 117, 151, 343, 805, 679, 512, 778, 138, 21, 439, 346, 105, 512, 381, 430, 529, 249, 832, 645, 225, 470, 298, 628, 273, 630, 850, 911, 930, 225, 267, 614, 820, 781, 123, 640, 279, 275, 598, 175, 444, 827, 985, 545, 730, 745, 77, 907, 851, 829, 637, 822, 406, 409, 196, 507, 392, 760, 207, 411, 684, 376, 473, 859, 646, 92, 373, 660, 556, 176, 72, 946, 462, 354, 363, 50, 409, 172, 223, 843, 721, 219, 476, 841, 171, 536, 180, 317, 408, 958, 477, 821, 997, 211, 702, 813, 764, 359, 470, 524, 913, 598, 300, 823, 588, 415, 138, 576, 89, 908, 729, 934, 975, 385, 433, 66, 685, 392, 478, 49, 59, 58, 101, 69, 438, 894, 231, 570, 539, 285, 643, 742, 401, 459, 544, 560, 64, 135, 589, 612, 530, 923, 239, 135, 749, 239, 175, 962, 41, 725, 217, 632, 411, 159, 813, 467, 694, 355, 726, 307, 275, 870, 951, 457, 465, 195, 284, 580, 255, 679, 186, 469, 244, 667, 764, 111, 69, 166, 755, 969, 507, 926, 373, 209, 761, 982, 752, 399, 140, 534, 518, 358, 427, 581, 698, 928, 822, 827, 793, 873, 180, 221, 321, 583, 668, 948, 576, 952, 687, 814, 649, 608, 26, 729, 973, 653, 796, 463, 809, 241, 640, 894, 106, 557, 73, 758, 109, 278, 579, 285, 965, 142, 291, 171, 289, 67, 611, 71, 343, 130, 182, 130, 56, 843, 961, 147, 546, 344, 987, 603, 242, 543, 616, 171, 920, 815, 623, 274, 239, 473, 603, 962, 389, 193, 496, 645, 523, 510, 929, 205, 516, 702, 291, 643, 434, 707, 93, 663, 821, 179, 252, 565, 528, 451, 346, 380, 343, 951, 790, 450, 151, 570, 149, 549, 670, 588, 445, 194, 72, 36, 468, 26, 966, 774, 505, 5, 304, 154, 864, 683, 679, 854, 850, 28, 470, 387, 532, 73, 959, 784, 805, 214, 332, 203, 725, 85, 15, 534, 50, 769, 333, 597, 239, 585, 878, 206, 908},
{772, 285, 179, 884, 218, 351, 378, 545, 778, 556, 973, 110, 838, 82, 454, 878, 512, 360, 320, 222, 286, 43, 33, 270, 957, 33, 530, 861, 449, 877, 568, 271, 445, 394, 183, 665, 827, 869, 842, 997, 563, 560, 212, 301, 60, 502, 16, 922, 969, 823, 177, 280, 109, 873, 274, 137, 442, 461, 359, 242, 71, 429, 354, 387, 754, 587, 584, 629, 818, 770, 447, 428, 190, 406, 908, 931, 921, 513, 264, 512, 803, 494, 570, 910, 566, 446, 283, 33, 737, 949, 841, 511, 426, 467, 435, 665, 192, 551, 683, 350, 679, 40, 764, 514, 868, 268, 353, 984, 658, 165, 822, 102, 980, 740, 336, 374, 799, 96, 812, 220, 155, 604, 277, 210, 888, 286, 767, 973, 804, 755, 781, 50, 781, 316, 267, 547, 819, 927, 241, 414, 68, 781, 472, 493, 634, 200, 78, 294, 391, 378, 492, 617, 30, 287, 56, 721, 365, 679, 353, 727, 224, 736, 538, 349, 310, 342, 91, 831, 113, 384, 854, 204, 258, 721, 738, 550, 719, 696, 166, 35, 932, 144, 224, 830, 196, 846, 459, 953, 669, 325, 447, 230, 955, 647, 588, 263, 469, 661, 60, 343, 774, 708, 489, 673, 657, 391, 719, 164, 924, 412, 968, 324, 846, 867, 822, 431, 706, 600, 713, 281, 156, 424, 14, 263, 916, 53, 410, 446, 913, 569, 958, 630, 130, 147, 129, 43, 267, 507, 172, 469, 839, 302, 349, 119, 446, 218, 917, 482, 809, 67, 291, 721, 600, 587, 437, 929, 216, 966, 433, 691, 448, 315, 46, 964, 406, 483, 371, 240, 168, 610, 846, 308, 356, 766, 396, 735, 260, 887, 94, 316, 172, 944, 461, 375, 325, 974, 477, 743, 198, 153, 407, 678, 965, 552, 832, 750, 577, 641, 608, 958, 271, 826, 64, 951, 338, 567, 422, 214, 596, 664, 290, 568, 352, 346, 94, 109, 585, 682, 476, 970, 723, 666, 13, 968, 642, 37, 96, 170, 465, 542, 450, 970, 329, 882, 556, 58, 529, 999, 195, 947, 360, 758, 443, 449, 522, 278, 711, 488, 191, 380, 823, 219, 706, 646, 730, 251, 379, 577, 156, 95, 90, 211, 405, 683, 185, 362, 544, 894, 711, 309, 432, 549, 120, 378, 383},
{276, 446, 372, 785, 964, 396, 199, 656, 280, 902, 361, 948, 842, 494, 236, 392, 233, 261, 132, 800, 949, 282, 227, 70, 800, 121, 360, 538, 976, 426, 553, 981, 251, 697, 870, 296, 310, 21, 868, 819, 220, 942, 503, 334, 434, 662, 780, 13, 536, 436, 859, 964, 131, 414, 574, 585, 903, 107, 556, 594, 900, 381, 214, 542, 487, 138, 849, 528, 298, 835, 107, 76, 718, 621, 729, 442, 87, 113, 381, 81, 852, 813, 866, 654, 399, 734, 650, 778, 85, 43, 11, 596, 333, 451, 509, 451, 291, 638, 709, 125, 644, 188, 255, 563, 664, 431, 460, 583, 477, 70, 564, 777, 825, 679, 660, 726, 306, 7, 114, 661, 198, 486, 960, 945, 494, 538, 389, 70, 686, 54, 899, 391, 184, 886, 167, 500, 988, 349, 919, 933, 401, 441, 408, 930, 55, 12, 131, 69, 582, 115, 547, 902, 528, 591, 439, 188, 936, 294, 426, 879, 197, 445, 904, 841, 313, 327, 347, 149, 764, 872, 431, 905, 511, 765, 997, 777, 494, 325, 162, 774, 208, 812, 223, 406, 517, 773, 196, 2, 917, 691, 890, 880, 868, 556, 472, 6, 667, 873, 335, 16, 540, 307, 958, 755, 322, 402, 122, 990, 105, 770, 487, 572, 712, 732, 112, 149, 721, 611, 861, 440, 18, 837, 79, 234, 556, 533, 97, 478, 63, 490, 350, 318, 934, 302, 906, 452, 453, 973, 224, 944, 761, 485, 794, 498, 738, 638, 148, 262, 31, 18, 370, 417, 21, 43, 882, 161, 443, 901, 749, 220, 674, 617, 170, 684, 476, 632, 157, 790, 127, 60, 605, 240, 406, 187, 84, 825, 854, 930, 740, 364, 134, 645, 626, 446, 26, 142, 621, 83, 826, 786, 860, 112, 473, 304, 275, 119, 693, 243, 367, 751, 917, 138, 869, 472, 445, 29, 274, 243, 607, 402, 538, 144, 237, 547, 428, 633, 826, 53, 111, 24, 142, 392, 551, 754, 912, 588, 235, 205, 459, 527, 513, 126, 742, 775, 626, 252, 412, 694, 59, 279, 838, 242, 439, 195, 25, 94, 628, 914, 532, 604, 992, 249, 241, 716, 115, 522, 860, 125, 345, 562, 575, 868, 684, 366, 118, 76, 443, 476, 861, 744, 12, 976, 238, 293, 856, 94},
{878, 127, 560, 544, 435, 595, 309, 166, 922, 536, 745, 862, 783, 67, 512, 561, 619, 421, 124, 712, 648, 365, 43, 845, 531, 220, 946, 824, 159, 550, 231, 739, 343, 373, 704, 833, 141, 116, 325, 465, 709, 618, 525, 849, 184, 196, 398, 275, 33, 151, 528, 548, 776, 139, 752, 642, 735, 489, 518, 932, 673, 924, 787, 931, 840, 110, 607, 145, 930, 115, 606, 521, 878, 204, 649, 982, 283, 299, 802, 688, 459, 121, 587, 20, 782, 251, 207, 743, 30, 343, 85, 457, 884, 241, 559, 207, 637, 68, 50, 123, 391, 214, 345, 33, 734, 724, 911, 244, 953, 802, 300, 158, 341, 24, 777, 896, 28, 361, 299, 893, 106, 350, 810, 278, 484, 494, 638, 918, 61, 599, 467, 193, 285, 780, 933, 920, 144, 781, 437, 395, 910, 650, 133, 120, 757, 971, 409, 689, 453, 622, 377, 226, 945, 447, 21, 926, 564, 358, 697, 573, 962, 87, 617, 291, 668, 240, 788, 474, 308, 365, 657, 530, 137, 432, 343, 46, 512, 533, 917, 13, 326, 625, 695, 35, 229, 797, 815, 761, 674, 935, 747, 410, 436, 602, 499, 861, 269, 646, 427, 745, 797, 331, 549, 879, 576, 764, 164, 651, 480, 15, 411, 198, 239, 590, 118, 790, 984, 880, 917, 396, 133, 765, 154, 237, 783, 823, 525, 91, 104, 497, 796, 194, 824, 122, 111, 858, 63, 921, 656, 355, 193, 999, 457, 159, 353, 809, 63, 417, 491, 845, 783, 375, 585, 77, 893, 511, 728, 187, 935, 398, 355, 804, 839, 584, 773, 742, 96, 372, 506, 716, 596, 988, 683, 136, 135, 505, 897, 342, 709, 807, 436, 109, 958, 99, 817, 296, 76, 675, 883, 308, 468, 177, 486, 406, 331, 131, 981, 982, 993, 363, 328, 625, 613, 750, 575, 169, 325, 908, 918, 950, 442, 593, 310, 202, 686, 6, 807, 798, 696, 736, 468, 636, 280, 779, 623, 541, 941, 892, 763, 891, 262, 617, 146, 174, 576, 414, 421, 229, 252, 716, 273, 301, 554, 172, 72, 873, 757, 991, 44, 913, 659, 101, 270, 368, 116, 760, 166, 659, 574, 418, 692, 501, 807, 815, 707, 562, 234, 790, 300, 370, 281, 811, 875, 397, 197, 969, 42},
{431, 627, 95, 79, 184, 29, 659, 865, 608, 722, 365, 669, 495, 929, 643, 125, 799, 716, 830, 73, 548, 101, 433, 651, 351, 962, 735, 199, 281, 581, 967, 59, 347, 760, 415, 341, 865, 553, 118, 81, 779, 524, 268, 960, 380, 339, 35, 984, 952, 239, 285, 54, 575, 594, 594, 368, 675, 324, 43, 19, 966, 425, 467, 885, 103, 248, 295, 197, 684, 419, 578, 712, 287, 537, 560, 511, 812, 833, 986, 786, 782, 18, 348, 894, 154, 425, 437, 140, 875, 412, 922, 410, 640, 655, 115, 859, 290, 654, 746, 253, 841, 267, 377, 489, 426, 541, 994, 62, 276, 474, 466, 914, 486, 570, 791, 210, 490, 232, 489, 41, 50, 92, 60, 995, 100, 358, 172, 795, 956, 133, 124, 923, 268, 457, 163, 290, 545, 496, 466, 493, 304, 921, 907, 155, 612, 19, 289, 165, 364, 471, 356, 370, 650, 88, 750, 441, 444, 978, 34, 142, 208, 773, 56, 236, 128, 575, 234, 611, 456, 212, 761, 944, 798, 268, 358, 468, 286, 77, 965, 911, 265, 551, 672, 748, 513, 276, 264, 208, 21, 771, 1, 380, 53, 217, 619, 891, 578, 203, 118, 277, 96, 269, 538, 193, 598, 106, 876, 21, 675, 274, 206, 278, 765, 228, 317, 449, 154, 232, 460, 541, 613, 501, 297, 683, 504, 506, 766, 574, 765, 924, 405, 412, 437, 185, 573, 268, 296, 858, 174, 466, 724, 443, 699, 695, 154, 232, 864, 998, 294, 20, 651, 723, 887, 392, 346, 814, 928, 193, 2, 510, 91, 593, 834, 653, 649, 835, 244, 328, 303, 351, 512, 466, 121, 446, 746, 388, 316, 164, 298, 11, 653, 243, 716, 571, 85, 327, 285, 282, 641, 696, 307, 278, 704, 840, 622, 614, 511, 120, 273, 784, 171, 638, 849, 476, 521, 161, 807, 803, 860, 629, 965, 280, 984, 330, 469, 180, 956, 300, 740, 741, 758, 911, 322, 870, 270, 843, 49, 605, 71, 885, 714, 665, 157, 78, 234, 768, 24, 710, 306, 303, 502, 629, 787, 123, 357, 85, 266, 919, 967, 116, 845, 654, 292, 59, 768, 997, 961, 333, 289, 597, 554, 92, 198, 246, 39, 658, 451, 713, 895, 942, 681, 91, 690, 191, 714, 968, 698, 479},
{875, 687, 730, 340, 512, 182, 505, 796, 127, 653, 724, 858, 498, 437, 534, 231, 408, 918, 187, 571, 918, 308, 540, 164, 685, 400, 492, 265, 437, 198, 574, 694, 591, 401, 700, 496, 948, 348, 500, 575, 562, 921, 775, 302, 141, 313, 331, 997, 836, 312, 879, 39, 831, 950, 726, 121, 943, 930, 714, 853, 343, 235, 229, 418, 594, 743, 118, 522, 435, 437, 80, 244, 105, 36, 362, 638, 577, 471, 683, 208, 759, 665, 867, 386, 558, 474, 59, 230, 746, 527, 294, 405, 721, 891, 868, 384, 569, 165, 203, 466, 340, 647, 833, 907, 74, 689, 764, 947, 895, 184, 650, 965, 486, 451, 197, 370, 285, 421, 705, 59, 109, 122, 918, 451, 230, 951, 200, 173, 569, 129, 592, 434, 393, 998, 497, 33, 752, 595, 550, 680, 993, 959, 781, 85, 839, 245, 273, 753, 913, 573, 365, 63, 69, 911, 912, 490, 591, 17, 216, 249, 127, 604, 38, 799, 203, 478, 541, 802, 320, 295, 81, 170, 913, 14, 521, 756, 905, 850, 177, 126, 204, 728, 496, 557, 238, 796, 363, 127, 560, 595, 229, 260, 623, 821, 344, 642, 31, 453, 31, 727, 25, 219, 266, 392, 424, 983, 872, 467, 13, 669, 235, 985, 173, 730, 789, 958, 605, 63, 504, 463, 130, 444, 160, 576, 896, 260, 563, 457, 808, 314, 711, 497, 608, 993, 568, 980, 852, 893, 311, 173, 975, 324, 836, 61, 736, 748, 889, 257, 589, 320, 341, 731, 983, 158, 76, 88, 112, 900, 437, 101, 412, 388, 370, 89, 990, 6, 259, 489, 171, 369, 937, 708, 587, 528, 499, 884, 607, 802, 370, 755, 340, 683, 534, 185, 212, 11, 971, 247, 871, 723, 90, 989, 177, 83, 424, 124, 188, 207, 919, 906, 324, 106, 899, 466, 353, 213, 189, 623, 440, 541, 956, 48, 286, 207, 528, 235, 264, 49, 807, 362, 581, 451, 969, 556, 674, 298, 776, 474, 494, 176, 202, 412, 819, 583, 45, 308, 481, 894, 882, 147, 227, 275, 3, 247, 941, 571, 931, 836, 159, 427, 798, 145, 65, 550, 40, 942, 729, 74, 911, 119, 908, 430, 829, 397, 551, 33, 837, 740, 125, 298, 393, 360, 940, 251, 211, 473, 958, 17, 147},
{131, 941, 4, 945, 497, 425, 473, 224, 955, 689, 493, 242, 250, 807, 978, 851, 721, 892, 648, 515, 326, 869, 230, 428, 770, 436, 180, 605, 581, 424, 528, 248, 326, 393, 180, 826, 563, 164, 161, 98, 264, 948, 840, 711, 629, 877, 139, 152, 230, 22, 61, 502, 360, 469, 700, 913, 322, 588, 17, 758, 140, 415, 269, 116, 841, 985, 990, 629, 17, 539, 785, 828, 851, 714, 2, 639, 194, 286, 593, 201, 513, 509, 45, 70, 783, 843, 294, 559, 461, 693, 990, 265, 670, 798, 266, 810, 693, 95, 444, 437, 609, 187, 749, 371, 713, 32, 115, 823, 915, 114, 695, 60, 918, 147, 489, 250, 356, 309, 792, 675, 469, 112, 877, 460, 120, 285, 344, 209, 129, 453, 116, 767, 962, 978, 931, 909, 808, 50, 478, 884, 902, 27, 38, 638, 817, 37, 614, 993, 73, 71, 48, 240, 35, 163, 536, 401, 599, 729, 311, 879, 518, 861, 983, 358, 612, 139, 186, 547, 262, 547, 702, 868, 760, 207, 254, 197, 115, 916, 434, 580, 832, 965, 103, 220, 80, 274, 678, 83, 359, 683, 391, 214, 492, 145, 527, 199, 302, 611, 89, 251, 809, 697, 112, 91, 196, 525, 79, 103, 12, 750, 473, 284, 360, 446, 562, 132, 832, 373, 903, 918, 26, 197, 912, 807, 327, 361, 61, 823, 527, 669, 930, 45, 505, 94, 399, 240, 875, 970, 664, 834, 21, 556, 735, 282, 371, 821, 219, 863, 155, 534, 975, 459, 82, 866, 237, 85, 584, 259, 327, 842, 330, 781, 971, 448, 662, 15, 528, 723, 528, 328, 133, 239, 223, 490, 913, 815, 993, 749, 921, 742, 118, 873, 347, 366, 594, 144, 948, 189, 996, 986, 339, 730, 342, 725, 931, 174, 64, 951, 889, 266, 306, 102, 387, 32, 788, 181, 863, 600, 438, 970, 700, 850, 823, 696, 944, 639, 200, 882, 286, 100, 609, 49, 470, 861, 81, 955, 741, 65, 404, 372, 699, 758, 388, 694, 173, 555, 733, 313, 311, 489, 912, 303, 133, 592, 486, 889, 191, 88, 335, 142, 829, 24, 164, 517, 794, 794, 488, 213, 536, 292, 994, 744, 657, 358, 837, 833, 387, 785, 933, 457, 825, 384, 793, 877, 976, 511, 752, 570, 285, 54},
{716, 235, 433, 18, 736, 483, 678, 811, 730, 389, 906, 790, 711, 807, 847, 836, 709, 248, 638, 581, 389, 155, 30, 393, 47, 628, 30, 362, 275, 980, 735, 386, 75, 38, 409, 869, 627, 771, 619, 702, 239, 646, 394, 958, 194, 92, 891, 176, 403, 594, 53, 194, 734, 252, 70, 246, 893, 33, 261, 419, 546, 629, 130, 664, 134, 533, 964, 232, 498, 894, 340, 803, 4, 774, 237, 594, 301, 686, 353, 421, 275, 634, 338, 20, 5, 481, 330, 954, 730, 100, 179, 54, 963, 692, 169, 672, 842, 618, 885, 997, 758, 263, 127, 277, 122, 811, 368, 93, 803, 264, 391, 776, 489, 662, 91, 606, 643, 294, 396, 720, 298, 609, 453, 544, 162, 659, 944, 122, 857, 153, 470, 932, 205, 641, 420, 655, 583, 901, 663, 884, 342, 352, 661, 954, 126, 179, 357, 906, 770, 945, 275, 101, 101, 602, 788, 147, 583, 221, 467, 626, 273, 262, 712, 551, 905, 858, 658, 622, 322, 416, 436, 130, 619, 845, 471, 774, 539, 822, 442, 782, 690, 827, 858, 415, 76, 119, 46, 411, 308, 422, 443, 923, 604, 888, 742, 255, 342, 762, 366, 52, 509, 313, 186, 661, 857, 787, 185, 13, 963, 541, 965, 763, 658, 49, 636, 412, 511, 188, 612, 751, 124, 58, 304, 351, 17, 595, 502, 700, 797, 433, 493, 290, 92, 752, 596, 175, 494, 382, 871, 498, 365, 23, 180, 49, 890, 271, 670, 173, 215, 68, 28, 258, 854, 311, 485, 568, 809, 614, 688, 441, 986, 634, 11, 697, 592, 961, 781, 675, 134, 270, 215, 463, 557, 371, 520, 760, 828, 789, 799, 280, 933, 732, 855, 768, 934, 656, 954, 530, 144, 150, 931, 798, 954, 528, 747, 429, 151, 347, 780, 163, 747, 45, 661, 143, 549, 31, 422, 454, 649, 869, 115, 223, 24, 614, 799, 186, 237, 2, 989, 711, 30, 933, 234, 995, 206, 625, 483, 475, 817, 862, 309, 583, 124, 25, 825, 620, 155, 966, 374, 865, 33, 325, 670, 63, 366, 590, 83, 43, 141, 84, 206, 582, 551, 20, 651, 537, 94, 3, 288, 943, 99, 619, 753, 13, 569, 278, 143, 929, 851, 89, 234, 924, 170, 355, 449, 340, 539, 224, 68, 322, 864},
{115, 835, 325, 352, 842, 230, 839, 463, 753, 114, 601, 749, 754, 416, 105, 857, 886, 776, 401, 881, 929, 782, 4, 28, 625, 582, 240, 237, 252, 125, 521, 39, 676, 257, 818, 367, 515, 189, 108, 532, 697, 634, 652, 817, 541, 20, 781, 429, 467, 763, 262, 616, 570, 536, 424, 859, 601, 809, 999, 935, 325, 760, 971, 528, 866, 771, 850, 800, 383, 358, 468, 32, 341, 337, 781, 938, 755, 445, 177, 843, 947, 426, 483, 153, 819, 807, 213, 970, 131, 202, 572, 814, 998, 982, 407, 509, 696, 630, 599, 361, 822, 857, 349, 594, 84, 864, 438, 879, 288, 734, 826, 478, 582, 18, 879, 179, 638, 12, 106, 732, 278, 121, 534, 926, 967, 928, 777, 798, 732, 319, 355, 739, 297, 39, 108, 391, 674, 603, 370, 331, 14, 338, 112, 478, 224, 631, 459, 75, 815, 227, 801, 837, 406, 437, 253, 612, 560, 733, 319, 422, 991, 77, 491, 345, 654, 661, 912, 21, 923, 525, 412, 952, 898, 606, 954, 958, 843, 353, 18, 272, 898, 8, 470, 821, 510, 996, 291, 173, 475, 654, 872, 444, 94, 682, 690, 282, 684, 334, 871, 643, 656, 280, 521, 667, 370, 544, 754, 451, 304, 659, 993, 856, 366, 438, 503, 820, 799, 338, 71, 790, 770, 440, 446, 41, 647, 479, 419, 585, 914, 198, 411, 372, 924, 534, 64, 207, 928, 802, 584, 609, 374, 79, 561, 430, 58, 447, 522, 582, 531, 653, 784, 692, 106, 956, 38, 826, 901, 654, 647, 697, 663, 859, 912, 909, 463, 562, 350, 899, 12, 928, 634, 152, 8, 88, 981, 212, 849, 364, 632, 735, 96, 11, 558, 571, 226, 55, 701, 430, 642, 763, 826, 204, 345, 574, 581, 436, 398, 87, 421, 720, 110, 858, 899, 71, 855, 271, 202, 398, 579, 732, 926, 296, 344, 811, 858, 258, 706, 696, 860, 315, 332, 516, 111, 813, 18, 683, 585, 744, 203, 373, 85, 585, 129, 672, 126, 75, 43, 718, 700, 766, 228, 363, 243, 432, 177, 516, 156, 636, 937, 325, 882, 862, 510, 799, 831, 588, 189, 300, 433, 632, 911, 565, 203, 888, 5, 582, 3, 294, 185, 680, 591, 535, 340, 651, 165, 480, 372, 601, 836, 813, 367, 486},
{887, 687, 437, 955, 220, 426, 862, 240, 600, 537, 571, 278, 226, 304, 569, 186, 604, 228, 660, 474, 968, 466, 705, 130, 282, 199, 673, 782, 362, 539, 989, 702, 825, 224, 989, 312, 381, 793, 844, 207, 414, 422, 951, 441, 980, 824, 662, 959, 79, 944, 132, 634, 504, 224, 283, 284, 690, 293, 118, 473, 680, 873, 81, 592, 783, 539, 807, 959, 519, 705, 292, 230, 179, 919, 504, 385, 703, 58, 496, 10, 598, 534, 313, 315, 302, 980, 382, 607, 749, 166, 622, 507, 891, 108, 196, 245, 562, 419, 686, 782, 409, 955, 520, 344, 559, 710, 571, 184, 329, 770, 274, 64, 543, 808, 993, 947, 988, 274, 82, 911, 85, 939, 817, 100, 150, 930, 398, 842, 485, 687, 226, 733, 119, 600, 45, 529, 208, 172, 839, 250, 26, 680, 47, 723, 951, 246, 308, 138, 70, 111, 913, 887, 847, 714, 128, 66, 832, 850, 756, 529, 474, 782, 723, 361, 989, 688, 892, 890, 648, 255, 54, 169, 984, 501, 834, 956, 205, 200, 254, 826, 523, 328, 787, 915, 215, 80, 104, 284, 950, 863, 81, 534, 360, 580, 322, 595, 850, 245, 150, 97, 402, 629, 969, 790, 448, 240, 983, 849, 975, 342, 465, 684, 651, 195, 165, 123, 147, 881, 9, 416, 804, 368, 911, 548, 453, 476, 403, 767, 498, 498, 763, 61, 367, 70, 564, 576, 4, 733, 789, 600, 416, 367, 233, 774, 176, 272, 490, 693, 390, 232, 650, 866, 900, 341, 762, 339, 360, 700, 232, 892, 420, 367, 592, 877, 453, 91, 496, 184, 117, 449, 353, 765, 605, 940, 773, 448, 590, 515, 864, 428, 734, 770, 463, 6, 110, 752, 603, 626, 52, 902, 857, 198, 764, 185, 712, 8, 456, 836, 809, 308, 916, 526, 700, 759, 235, 899, 751, 502, 757, 636, 973, 555, 516, 180, 839, 629, 78, 232, 603, 207, 180, 971, 252, 901, 568, 690, 963, 711, 191, 220, 893, 776, 233, 70, 144, 601, 558, 702, 48, 580, 755, 704, 266, 788, 373, 948, 718, 678, 891, 995, 123, 321, 644, 112, 710, 236, 229, 251, 756, 734, 871, 305, 691, 884, 883, 694, 896, 910, 577, 131, 782, 828, 979, 7, 375, 637, 252, 381, 413, 204, 982, 7, 945},
{278, 412, 167, 494, 734, 226, 347, 121, 238, 738, 953, 158, 991, 207, 319, 937, 154, 488, 238, 583, 795, 489, 151, 800, 966, 658, 861, 694, 580, 293, 400, 775, 327, 582, 200, 729, 753, 98, 305, 7, 992, 940, 703, 964, 357, 851, 209, 129, 145, 374, 549, 107, 589, 609, 425, 833, 805, 167, 370, 127, 976, 688, 147, 969, 782, 705, 312, 547, 251, 666, 276, 838, 803, 666, 911, 463, 234, 811, 274, 573, 787, 145, 513, 811, 278, 773, 404, 733, 408, 173, 237, 650, 66, 611, 978, 531, 389, 349, 723, 484, 818, 504, 471, 319, 199, 519, 141, 890, 210, 712, 607, 234, 77, 729, 200, 973, 544, 628, 802, 155, 561, 896, 166, 412, 995, 3, 550, 350, 951, 916, 95, 127, 956, 667, 636, 473, 365, 152, 797, 825, 795, 345, 282, 795, 343, 523, 256, 960, 588, 378, 584, 823, 148, 643, 488, 850, 603, 453, 863, 686, 201, 715, 104, 4, 603, 659, 792, 958, 331, 145, 18, 898, 269, 455, 396, 781, 750, 75, 96, 751, 283, 385, 318, 462, 949, 301, 680, 28, 877, 621, 935, 915, 921, 271, 269, 735, 913, 663, 208, 610, 401, 134, 808, 750, 763, 778, 364, 915, 44, 30, 362, 706, 571, 20, 784, 972, 714, 100, 125, 214, 681, 891, 714, 513, 318, 899, 29, 428, 288, 10, 639, 250, 841, 194, 430, 237, 610, 326, 461, 736, 545, 325, 619, 587, 129, 755, 832, 854, 462, 615, 122, 717, 711, 285, 253, 299, 640, 518, 61, 318, 649, 903, 802, 727, 813, 467, 40, 892, 925, 920, 619, 465, 402, 629, 304, 831, 259, 520, 482, 889, 42, 25, 155, 972, 717, 623, 123, 920, 58, 719, 863, 669, 969, 396, 115, 235, 560, 42, 575, 632, 459, 983, 470, 114, 82, 36, 930, 66, 50, 294, 288, 63, 945, 611, 400, 867, 966, 935, 86, 598, 775, 85, 576, 917, 55, 609, 667, 846, 837, 83, 893, 713, 675, 569, 636, 854, 123, 7, 533, 881, 777, 959, 938, 742, 367, 518, 493, 330, 960, 123, 16, 109, 411, 752, 57, 67, 566, 207, 461, 330, 601, 212, 158, 943, 103, 652, 281, 632, 128, 560, 374, 856, 559, 396, 119, 105, 509, 753, 537, 161, 400, 870, 60, 32},
{616, 235, 207, 333, 301, 125, 888, 192, 942, 140, 479, 137, 919, 666, 896, 29, 14, 721, 887, 820, 256, 834, 611, 813, 145, 446, 369, 115, 400, 802, 67, 229, 946, 487, 545, 42, 721, 536, 465, 982, 270, 541, 798, 821, 795, 284, 349, 375, 506, 204, 884, 381, 627, 449, 655, 943, 427, 352, 70, 235, 959, 901, 248, 593, 984, 224, 36, 771, 734, 81, 806, 846, 745, 187, 29, 202, 984, 459, 177, 121, 888, 363, 999, 688, 731, 213, 555, 160, 949, 603, 729, 436, 672, 165, 101, 32, 714, 485, 160, 753, 716, 337, 864, 324, 968, 326, 438, 362, 663, 708, 130, 442, 999, 381, 393, 461, 583, 991, 532, 143, 51, 720, 457, 337, 695, 513, 576, 708, 139, 456, 244, 511, 793, 545, 410, 406, 910, 312, 293, 724, 522, 652, 964, 112, 476, 711, 700, 255, 53, 892, 834, 265, 382, 862, 646, 343, 963, 958, 499, 532, 156, 533, 34, 759, 371, 582, 757, 830, 102, 486, 742, 762, 609, 794, 489, 609, 256, 772, 233, 979, 24, 866, 92, 521, 708, 333, 486, 980, 658, 11, 233, 894, 679, 640, 517, 549, 908, 183, 753, 639, 61, 305, 956, 950, 416, 566, 855, 486, 322, 887, 428, 677, 790, 554, 922, 698, 975, 337, 724, 478, 920, 339, 604, 660, 10, 798, 5, 665, 950, 417, 4, 976, 984, 720, 513, 979, 223, 603, 105, 981, 699, 479, 547, 534, 718, 383, 792, 811, 614, 981, 679, 602, 814, 684, 69, 409, 457, 944, 451, 267, 407, 410, 356, 141, 679, 809, 38, 211, 688, 291, 962, 886, 700, 511, 631, 158, 141, 919, 115, 771, 103, 535, 505, 736, 551, 22, 131, 920, 214, 991, 28, 787, 77, 318, 632, 889, 747, 657, 90, 386, 686, 545, 879, 654, 428, 182, 693, 95, 517, 465, 614, 316, 775, 928, 700, 218, 945, 964, 12, 915, 477, 156, 956, 78, 427, 551, 610, 988, 21, 482, 299, 582, 403, 847, 327, 769, 516, 861, 177, 599, 832, 907, 928, 189, 882, 513, 874, 918, 138, 436, 569, 46, 818, 515, 576, 804, 625, 246, 252, 12, 244, 18, 757, 423, 674, 536, 340, 361, 131, 293, 650, 657, 254, 816, 466, 562, 899, 66, 759, 78, 558, 573, 465, 132, 808},
{832, 671, 90, 814, 993, 189, 399, 12, 144, 651, 537, 578, 337, 315, 66, 214, 27, 759, 258, 33, 792, 513, 714, 85, 38, 469, 388, 139, 888, 588, 653, 886, 622, 48, 416, 642, 805, 452, 750, 953, 766, 154, 262, 271, 154, 49, 141, 983, 119, 425, 906, 657, 68, 590, 957, 295, 69, 20, 324, 787, 684, 719, 489, 486, 465, 358, 759, 38, 346, 451, 386, 164, 943, 560, 607, 86, 103, 34, 831, 680, 67, 299, 404, 255, 355, 58, 816, 38, 735, 82, 728, 95, 712, 449, 904, 403, 577, 175, 997, 242, 399, 211, 139, 891, 272, 674, 457, 866, 795, 6, 983, 562, 9, 458, 863, 250, 941, 970, 451, 785, 557, 5, 645, 307, 81, 354, 791, 421, 628, 318, 546, 87, 595, 846, 414, 473, 509, 451, 33, 562, 882, 732, 907, 155, 163, 357, 978, 262, 43, 191, 334, 533, 253, 68, 401, 537, 424, 406, 158, 181, 805, 428, 260, 518, 384, 302, 487, 515, 460, 878, 600, 68, 832, 59, 494, 746, 518, 30, 548, 262, 401, 737, 181, 609, 245, 4, 936, 233, 307, 648, 866, 304, 137, 792, 572, 383, 259, 325, 57, 331, 104, 120, 424, 313, 969, 206, 577, 136, 779, 537, 245, 975, 128, 395, 125, 733, 414, 752, 396, 891, 886, 112, 625, 764, 54, 422, 899, 449, 229, 702, 45, 626, 973, 897, 981, 604, 764, 308, 546, 626, 560, 668, 634, 534, 810, 572, 141, 328, 103, 479, 951, 28, 827, 984, 226, 512, 208, 372, 276, 687, 545, 739, 651, 429, 785, 134, 415, 218, 364, 210, 216, 280, 819, 891, 448, 381, 856, 405, 726, 78, 372, 834, 893, 388, 457, 29, 31, 341, 543, 322, 260, 800, 670, 993, 653, 281, 323, 837, 244, 236, 381, 510, 935, 408, 562, 552, 103, 423, 93, 118, 826, 735, 508, 470, 959, 413, 183, 255, 717, 17, 609, 399, 70, 1, 508, 254, 956, 665, 560, 242, 320, 640, 930, 857, 955, 319, 776, 328, 472, 433, 613, 622, 12, 188, 771, 796, 918, 962, 148, 832, 264, 642, 130, 253, 985, 38, 868, 773, 401, 695, 47, 190, 38, 654, 913, 489, 41, 319, 626, 921, 902, 708, 880, 382, 901, 759, 407, 2, 403, 270, 147, 268, 188, 287, 821, 379},
{994, 477, 202, 750, 808, 50, 538, 777, 790, 331, 556, 32, 335, 956, 895, 18, 492, 964, 71, 514, 843, 775, 897, 307, 995, 167, 781, 816, 38, 852, 459, 700, 681, 228, 563, 60, 285, 152, 869, 234, 678, 395, 194, 538, 476, 519, 679, 479, 603, 499, 676, 146, 843, 371, 467, 488, 555, 546, 879, 155, 132, 200, 193, 384, 379, 324, 840, 233, 774, 610, 93, 67, 468, 334, 306, 788, 959, 781, 327, 799, 636, 588, 351, 23, 733, 548, 838, 630, 807, 75, 148, 300, 545, 516, 119, 921, 561, 947, 229, 695, 859, 901, 851, 445, 801, 739, 806, 828, 751, 2, 634, 800, 52, 142, 9, 365, 608, 488, 236, 145, 172, 164, 89, 776, 352, 941, 93, 456, 492, 712, 950, 238, 813, 303, 15, 836, 649, 895, 576, 765, 156, 169, 286, 586, 637, 607, 177, 972, 495, 113, 639, 30, 849, 184, 159, 36, 114, 440, 800, 351, 115, 188, 234, 756, 900, 78, 552, 900, 23, 622, 251, 813, 924, 500, 545, 739, 32, 123, 588, 582, 284, 886, 294, 386, 152, 927, 182, 128, 616, 918, 72, 20, 203, 681, 532, 233, 928, 911, 668, 617, 930, 366, 257, 586, 626, 189, 202, 772, 491, 919, 34, 475, 902, 885, 457, 176, 87, 328, 6, 614, 863, 604, 452, 2, 754, 262, 996, 960, 54, 596, 181, 685, 588, 539, 95, 639, 259, 399, 760, 830, 914, 976, 460, 331, 744, 101, 413, 238, 191, 425, 421, 743, 311, 660, 16, 284, 635, 45, 208, 32, 826, 961, 150, 151, 872, 112, 881, 267, 112, 513, 882, 639, 112, 923, 319, 336, 346, 998, 719, 550, 611, 579, 316, 868, 362, 66, 435, 878, 477, 711, 139, 67, 497, 64, 756, 300, 36, 452, 129, 545, 881, 632, 83, 703, 321, 194, 167, 539, 310, 332, 715, 742, 439, 939, 87, 110, 100, 728, 301, 648, 821, 297, 386, 195, 569, 617, 439, 795, 655, 417, 786, 623, 38, 320, 666, 761, 987, 427, 507, 459, 487, 201, 278, 857, 294, 157, 306, 284, 282, 864, 683, 380, 518, 211, 641, 288, 596, 683, 263, 64, 848, 694, 525, 273, 436, 599, 924, 480, 774, 125, 898, 939, 399, 358, 823, 364, 157, 351, 625, 64, 576, 617, 954, 112, 365, 520, 414},
{438, 237, 598, 560, 934, 729, 391, 269, 677, 181, 202, 576, 411, 840, 550, 297, 256, 916, 771, 567, 422, 448, 329, 943, 403, 55, 931, 854, 705, 9, 476, 7, 694, 557, 164, 803, 525, 114, 877, 990, 475, 742, 63, 462, 187, 356, 885, 654, 474, 188, 433, 22, 394, 369, 47, 811, 203, 926, 670, 807, 676, 88, 291, 734, 38, 579, 78, 738, 381, 480, 875, 739, 60, 318, 69, 482, 970, 278, 632, 772, 52, 811, 420, 759, 605, 478, 326, 99, 232, 531, 993, 491, 263, 630, 169, 407, 618, 85, 620, 760, 863, 175, 800, 929, 118, 450, 58, 794, 158, 364, 267, 395, 699, 266, 201, 410, 361, 527, 822, 899, 292, 578, 975, 650, 756, 696, 583, 43, 236, 670, 590, 550, 784, 875, 351, 879, 423, 885, 60, 252, 329, 451, 142, 560, 486, 587, 197, 921, 204, 542, 240, 701, 643, 634, 480, 171, 73, 276, 804, 847, 67, 41, 486, 948, 299, 292, 350, 593, 885, 696, 800, 100, 445, 969, 639, 199, 195, 292, 593, 62, 431, 158, 795, 785, 667, 862, 279, 392, 581, 431, 679, 439, 649, 570, 942, 87, 37, 129, 839, 799, 840, 636, 444, 910, 299, 714, 577, 981, 928, 557, 396, 172, 856, 202, 935, 899, 789, 15, 429, 672, 176, 697, 657, 317, 118, 97, 415, 771, 497, 294, 413, 237, 594, 761, 591, 787, 218, 868, 857, 421, 967, 648, 743, 177, 821, 525, 304, 158, 645, 666, 887, 212, 603, 723, 72, 591, 675, 978, 114, 106, 678, 353, 815, 192, 218, 292, 528, 794, 13, 273, 376, 214, 876, 590, 465, 834, 457, 86, 953, 213, 502, 709, 392, 120, 38, 170, 665, 949, 336, 392, 189, 380, 974, 240, 778, 281, 591, 725, 721, 659, 176, 944, 170, 847, 858, 101, 890, 242, 199, 282, 816, 656, 925, 91, 576, 724, 904, 854, 372, 886, 895, 888, 166, 190, 304, 215, 112, 490, 696, 204, 566, 709, 336, 849, 822, 442, 365, 763, 908, 595, 551, 539, 418, 690, 701, 799, 345, 148, 957, 146, 341, 175, 173, 191, 626, 826, 506, 72, 45, 462, 164, 126, 382, 65, 952, 920, 120, 852, 949, 453, 281, 186, 94, 134, 840, 29, 2, 109, 495, 123, 603, 610, 218, 588, 484, 248, 147, 899},
{971, 594, 820, 26, 62, 9, 660, 84, 272, 332, 949, 17, 375, 19, 195, 662, 750, 285, 942, 67, 803, 62, 588, 56, 474, 908, 671, 878, 377, 536, 483, 222, 533, 269, 529, 991, 944, 608, 565, 54, 522, 16, 458, 553, 969, 203, 81, 532, 298, 484, 823, 286, 561, 216, 73, 348, 258, 937, 176, 994, 613, 610, 2, 935, 604, 238, 206, 181, 146, 280, 673, 131, 366, 436, 450, 611, 234, 822, 664, 916, 134, 78, 538, 919, 123, 626, 657, 961, 768, 231, 32, 559, 398, 906, 366, 892, 565, 510, 168, 712, 320, 591, 975, 536, 602, 604, 46, 968, 699, 197, 280, 559, 280, 100, 64, 859, 899, 92, 928, 237, 275, 600, 651, 591, 860, 795, 471, 288, 400, 418, 606, 545, 239, 190, 127, 997, 113, 356, 580, 378, 30, 819, 431, 75, 656, 359, 515, 820, 283, 637, 227, 959, 75, 33, 83, 480, 790, 877, 631, 535, 588, 325, 427, 254, 834, 915, 934, 439, 66, 867, 760, 172, 381, 289, 597, 457, 583, 765, 612, 753, 318, 257, 770, 680, 318, 835, 792, 210, 613, 542, 7, 398, 238, 585, 342, 76, 492, 164, 115, 926, 363, 427, 65, 104, 8, 487, 296, 836, 554, 917, 394, 500, 619, 902, 20, 278, 84, 34, 686, 829, 627, 767, 297, 372, 474, 751, 209, 188, 596, 502, 284, 858, 343, 454, 401, 452, 120, 998, 389, 480, 239, 934, 185, 709, 538, 723, 308, 781, 706, 11, 397, 183, 478, 169, 669, 311, 81, 30, 622, 250, 323, 534, 208, 410, 730, 774, 6, 365, 986, 795, 645, 49, 752, 540, 810, 995, 587, 555, 708, 432, 349, 410, 804, 876, 897, 305, 946, 311, 382, 992, 755, 186, 685, 11, 297, 222, 832, 134, 599, 463, 296, 160, 551, 105, 166, 393, 63, 352, 103, 657, 157, 8, 829, 278, 818, 504, 681, 225, 40, 835, 385, 533, 450, 223, 824, 200, 357, 346, 995, 975, 788, 686, 757, 862, 364, 860, 268, 672, 418, 811, 168, 705, 825, 384, 695, 456, 408, 123, 920, 276, 634, 99, 167, 74, 557, 176, 558, 494, 581, 437, 300, 455, 720, 389, 963, 586, 430, 189, 581, 909, 1, 356, 780, 29, 743, 354, 549, 233, 874, 977, 482, 150, 124, 695, 508, 25, 528, 984, 171},
{281, 802, 194, 514, 714, 985, 694, 492, 608, 736, 874, 621, 72, 800, 78, 274, 100, 668, 696, 624, 234, 385, 468, 745, 187, 795, 478, 786, 495, 256, 497, 457, 55, 985, 54, 291, 400, 771, 90, 264, 720, 726, 122, 408, 894, 136, 592, 980, 275, 212, 491, 606, 569, 748, 380, 575, 927, 260, 690, 109, 243, 166, 512, 21, 777, 978, 134, 622, 435, 265, 277, 151, 413, 355, 307, 236, 467, 374, 699, 157, 778, 207, 688, 716, 231, 444, 355, 561, 915, 146, 344, 704, 892, 556, 58, 811, 499, 506, 420, 535, 41, 308, 268, 829, 295, 402, 986, 676, 59, 890, 292, 148, 950, 333, 926, 27, 734, 899, 614, 495, 747, 23, 850, 559, 385, 188, 931, 925, 219, 421, 218, 45, 4, 297, 736, 887, 773, 29, 147, 849, 211, 292, 520, 811, 727, 986, 596, 44, 20, 22, 934, 103, 374, 594, 899, 303, 691, 127, 488, 647, 998, 195, 835, 352, 199, 341, 616, 186, 983, 587, 712, 932, 64, 878, 200, 180, 388, 405, 161, 528, 589, 969, 867, 27, 653, 130, 590, 348, 767, 834, 671, 740, 328, 672, 532, 297, 360, 659, 948, 457, 958, 683, 304, 920, 939, 358, 474, 385, 538, 37, 723, 572, 910, 188, 218, 56, 155, 148, 811, 280, 763, 509, 303, 994, 740, 63, 707, 57, 97, 241, 981, 166, 64, 483, 234, 645, 181, 814, 727, 824, 353, 165, 841, 925, 59, 684, 764, 609, 206, 352, 870, 489, 480, 675, 617, 20, 674, 190, 347, 96, 173, 742, 517, 617, 666, 275, 772, 31, 228, 923, 743, 580, 63, 777, 600, 569, 611, 555, 235, 464, 198, 814, 371, 64, 81, 25, 51, 289, 589, 987, 711, 368, 18, 644, 513, 309, 68, 274, 644, 612, 951, 418, 116, 91, 696, 692, 921, 541, 793, 765, 526, 742, 135, 413, 347, 924, 44, 509, 272, 433, 329, 248, 280, 763, 502, 656, 929, 541, 676, 688, 786, 294, 243, 801, 912, 64, 68, 925, 140, 10, 877, 180, 186, 136, 439, 512, 642, 214, 376, 678, 474, 783, 738, 618, 943, 812, 958, 364, 825, 272, 440, 27, 352, 365, 836, 319, 586, 653, 17, 316, 814, 603, 823, 834, 126, 392, 998, 901, 535, 933, 67, 273, 907, 167, 523, 848, 446, 634, 449, 139},
{713, 221, 514, 652, 969, 761, 404, 168, 131, 871, 896, 398, 796, 981, 176, 472, 603, 47, 472, 975, 625, 830, 797, 66, 665, 950, 368, 286, 78, 134, 290, 289, 152, 231, 197, 602, 241, 577, 877, 965, 498, 262, 314, 521, 549, 660, 213, 317, 443, 401, 838, 174, 957, 537, 898, 949, 723, 333, 301, 625, 616, 459, 816, 461, 597, 870, 100, 638, 500, 829, 39, 468, 258, 814, 120, 224, 715, 92, 336, 103, 507, 753, 199, 660, 408, 958, 561, 281, 223, 890, 304, 904, 520, 695, 410, 295, 500, 292, 577, 561, 820, 468, 349, 531, 507, 142, 644, 853, 931, 982, 721, 352, 423, 886, 832, 263, 309, 907, 290, 470, 7, 371, 182, 751, 374, 817, 762, 330, 657, 337, 405, 768, 263, 643, 36, 328, 33, 887, 193, 443, 896, 875, 208, 905, 556, 791, 492, 651, 328, 995, 614, 821, 406, 737, 670, 880, 572, 888, 401, 151, 808, 895, 703, 66, 387, 212, 419, 816, 720, 405, 778, 827, 692, 968, 453, 697, 232, 655, 958, 780, 603, 768, 46, 624, 279, 460, 808, 842, 272, 514, 457, 799, 485, 506, 116, 725, 4, 506, 504, 453, 219, 670, 115, 21, 346, 198, 318, 787, 211, 88, 844, 566, 120, 96, 286, 495, 293, 65, 546, 18, 577, 538, 687, 422, 106, 221, 235, 793, 178, 342, 803, 161, 848, 455, 855, 832, 652, 554, 520, 635, 412, 605, 643, 828, 339, 807, 683, 964, 463, 920, 611, 866, 987, 995, 741, 175, 333, 705, 281, 654, 488, 283, 429, 542, 766, 741, 82, 746, 235, 664, 525, 632, 884, 362, 33, 466, 80, 580, 943, 324, 936, 291, 623, 424, 85, 311, 687, 378, 662, 597, 26, 835, 527, 156, 420, 347, 371, 393, 43, 38, 870, 615, 694, 878, 38, 132, 424, 900, 648, 78, 88, 711, 31, 622, 458, 49, 479, 749, 778, 917, 279, 113, 972, 71, 659, 808, 328, 187, 967, 76, 144, 146, 53, 26, 678, 210, 104, 539, 767, 755, 218, 337, 654, 455, 519, 90, 862, 418, 1, 118, 476, 900, 150, 903, 779, 608, 24, 127, 49, 504, 681, 423, 189, 299, 807, 376, 64, 477, 873, 537, 601, 792, 459, 407, 167, 662, 165, 390, 317, 777, 142, 713, 715, 555, 378, 162, 940, 768, 790, 293, 905},
{782, 613, 457, 863, 382, 765, 581, 270, 77, 661, 148, 353, 96, 416, 235, 833, 63, 511, 789, 150, 434, 748, 524, 434, 388, 796, 979, 707, 757, 665, 303, 984, 18, 255, 259, 480, 65, 476, 815, 692, 725, 531, 432, 894, 505, 644, 804, 511, 96, 912, 411, 904, 509, 964, 679, 335, 583, 819, 950, 271, 722, 643, 727, 712, 431, 147, 883, 966, 167, 974, 589, 98, 490, 772, 732, 341, 305, 582, 523, 909, 255, 824, 785, 949, 930, 423, 153, 911, 661, 541, 30, 184, 65, 16, 720, 695, 436, 794, 533, 101, 285, 601, 74, 272, 66, 621, 146, 104, 153, 186, 862, 48, 677, 341, 640, 348, 680, 687, 704, 715, 375, 84, 642, 40, 997, 624, 290, 798, 851, 822, 971, 6, 663, 67, 673, 912, 307, 234, 259, 191, 269, 807, 242, 970, 982, 973, 944, 966, 293, 946, 92, 877, 869, 195, 33, 400, 356, 363, 803, 479, 372, 393, 198, 883, 314, 773, 855, 779, 998, 913, 129, 760, 867, 325, 169, 696, 368, 697, 206, 841, 604, 954, 511, 881, 84, 99, 878, 969, 654, 939, 754, 372, 282, 861, 362, 11, 392, 377, 223, 84, 894, 579, 517, 920, 843, 524, 626, 430, 944, 227, 11, 795, 743, 226, 303, 580, 401, 591, 142, 26, 401, 873, 774, 119, 417, 689, 936, 970, 816, 608, 839, 137, 986, 492, 365, 784, 707, 722, 708, 24, 330, 560, 817, 299, 386, 473, 898, 469, 555, 395, 180, 90, 654, 753, 894, 453, 387, 607, 131, 147, 141, 338, 806, 247, 37, 232, 531, 767, 765, 658, 513, 678, 491, 762, 9, 583, 246, 307, 23, 203, 782, 748, 97, 860, 830, 745, 60, 536, 38, 22, 565, 464, 677, 898, 86, 861, 357, 912, 770, 144, 560, 611, 272, 905, 831, 1, 172, 11, 825, 170, 144, 373, 227, 263, 355, 385, 766, 343, 889, 533, 166, 682, 188, 373, 867, 644, 574, 966, 836, 665, 964, 842, 553, 789, 746, 736, 534, 830, 655, 682, 411, 535, 173, 519, 590, 18, 628, 492, 31, 373, 694, 454, 489, 587, 444, 92, 904, 775, 435, 728, 218, 356, 605, 505, 55, 955, 860, 177, 153, 734, 356, 305, 321, 345, 414, 407, 40, 908, 907, 460, 477, 253, 733, 229, 857, 146, 692, 95, 606, 401, 665, 390},
{627, 559, 524, 785, 417, 306, 587, 917, 450, 903, 764, 306, 403, 706, 765, 548, 355, 248, 861, 952, 59, 494, 731, 47, 721, 594, 878, 852, 537, 860, 924, 420, 353, 786, 877, 897, 460, 605, 93, 292, 493, 280, 260, 197, 780, 830, 169, 963, 340, 611, 438, 189, 887, 456, 637, 936, 846, 648, 450, 820, 378, 285, 612, 903, 873, 952, 371, 424, 165, 560, 116, 481, 989, 835, 650, 187, 849, 227, 309, 213, 469, 936, 726, 374, 543, 352, 642, 601, 280, 422, 528, 680, 551, 423, 187, 190, 136, 107, 748, 361, 598, 455, 612, 978, 880, 114, 974, 49, 524, 145, 565, 661, 791, 876, 57, 375, 631, 505, 439, 495, 568, 586, 326, 822, 92, 699, 749, 788, 83, 402, 521, 427, 107, 26, 638, 289, 181, 15, 537, 231, 739, 267, 213, 997, 89, 390, 362, 646, 594, 850, 731, 168, 218, 777, 814, 97, 766, 538, 859, 513, 432, 318, 943, 608, 744, 596, 490, 894, 72, 829, 207, 226, 193, 651, 869, 10, 274, 596, 782, 407, 771, 692, 6, 835, 417, 262, 647, 788, 451, 929, 619, 877, 707, 139, 256, 963, 962, 453, 94, 460, 237, 527, 960, 178, 340, 921, 198, 599, 47, 873, 523, 71, 707, 708, 535, 222, 997, 846, 323, 868, 749, 242, 990, 742, 510, 671, 153, 677, 540, 478, 638, 287, 461, 291, 678, 753, 650, 712, 856, 60, 795, 203, 956, 915, 711, 204, 645, 638, 652, 38, 611, 477, 864, 299, 377, 211, 54, 223, 526, 358, 769, 26, 464, 29, 462, 305, 182, 252, 95, 360, 698, 589, 753, 773, 984, 18, 669, 617, 230, 316, 401, 456, 214, 664, 724, 686, 444, 770, 940, 823, 439, 591, 892, 58, 206, 643, 989, 788, 536, 971, 896, 845, 222, 66, 397, 825, 642, 426, 100, 275, 508, 992, 305, 493, 690, 380, 349, 328, 198, 693, 187, 700, 361, 743, 784, 518, 173, 602, 159, 286, 587, 821, 530, 988, 271, 66, 105, 751, 952, 586, 466, 397, 43, 740, 433, 226, 623, 710, 477, 297, 308, 679, 508, 999, 647, 11, 886, 963, 993, 351, 48, 198, 758, 190, 967, 883, 984, 135, 57, 446, 37, 20, 735, 350, 995, 53, 81, 578, 40, 371, 436, 887, 684, 751, 837, 761, 271, 723, 393, 448, 497, 13, 532},
{572, 95, 55, 170, 601, 998, 310, 389, 900, 465, 252, 189, 154, 649, 175, 230, 729, 76, 444, 262, 928, 299, 401, 116, 143, 805, 894, 686, 647, 857, 352, 381, 135, 558, 349, 843, 125, 894, 888, 599, 57, 870, 986, 479, 236, 164, 688, 270, 775, 901, 368, 77, 355, 268, 985, 308, 892, 655, 25, 17, 240, 972, 977, 596, 582, 566, 575, 430, 542, 900, 447, 194, 900, 800, 532, 940, 434, 590, 346, 962, 644, 885, 177, 706, 23, 170, 371, 690, 74, 536, 152, 444, 538, 113, 802, 2, 110, 792, 670, 357, 493, 839, 116, 599, 815, 823, 482, 151, 257, 135, 149, 654, 251, 14, 986, 553, 774, 623, 830, 376, 38, 209, 153, 16, 371, 798, 752, 84, 208, 207, 119, 533, 856, 333, 97, 309, 177, 885, 636, 739, 382, 669, 686, 745, 913, 563, 741, 719, 761, 114, 187, 92, 646, 458, 298, 207, 206, 944, 724, 87, 688, 368, 318, 98, 695, 249, 433, 291, 204, 919, 185, 445, 416, 496, 712, 407, 12, 14, 196, 378, 7, 66, 210, 208, 749, 328, 51, 599, 537, 244, 791, 349, 974, 972, 191, 413, 448, 402, 33, 636, 54, 698, 127, 429, 895, 361, 986, 543, 899, 225, 158, 395, 227, 172, 262, 16, 903, 596, 118, 821, 511, 809, 664, 893, 641, 645, 52, 317, 372, 504, 935, 470, 178, 942, 951, 830, 546, 713, 349, 8, 64, 847, 975, 204, 892, 964, 193, 256, 349, 516, 754, 728, 805, 57, 399, 273, 193, 982, 719, 617, 236, 364, 836, 95, 912, 677, 568, 581, 782, 221, 57, 73, 540, 996, 281, 923, 553, 642, 485, 899, 233, 786, 313, 840, 762, 846, 351, 656, 108, 847, 882, 837, 261, 339, 855, 403, 332, 837, 475, 459, 468, 532, 369, 142, 567, 172, 972, 732, 402, 145, 650, 173, 82, 792, 47, 24, 766, 867, 388, 173, 117, 915, 714, 218, 313, 35, 558, 525, 346, 126, 193, 404, 916, 289, 376, 715, 506, 421, 462, 492, 89, 480, 873, 835, 526, 80, 163, 429, 875, 279, 347, 500, 746, 466, 733, 957, 347, 252, 223, 734, 49, 119, 937, 74, 149, 388, 87, 609, 992, 764, 158, 615, 795, 296, 909, 710, 273, 94, 119, 672, 697, 594, 738, 708, 100, 425, 923, 716, 98, 194, 367, 599, 318, 620},
{549, 650, 394, 494, 755, 419, 356, 861, 206, 194, 546, 709, 230, 465, 330, 154, 181, 272, 526, 822, 710, 345, 894, 665, 91, 357, 24, 909, 513, 388, 661, 274, 669, 909, 852, 806, 472, 233, 276, 929, 480, 364, 779, 377, 414, 633, 481, 686, 220, 333, 714, 852, 250, 783, 749, 541, 486, 948, 495, 995, 212, 722, 316, 414, 163, 519, 691, 65, 989, 604, 693, 912, 820, 933, 162, 825, 799, 897, 8, 711, 768, 479, 310, 94, 646, 809, 722, 690, 662, 5, 244, 551, 311, 479, 601, 175, 802, 606, 305, 817, 810, 760, 976, 901, 523, 253, 659, 23, 375, 618, 661, 567, 319, 42, 929, 360, 199, 459, 90, 75, 593, 991, 49, 370, 476, 944, 510, 845, 189, 564, 817, 931, 515, 74, 324, 802, 80, 336, 852, 205, 927, 608, 891, 895, 874, 491, 894, 12, 169, 119, 390, 274, 35, 64, 682, 398, 961, 217, 563, 477, 931, 111, 840, 356, 353, 774, 434, 255, 165, 232, 501, 950, 433, 166, 315, 872, 756, 122, 606, 341, 995, 854, 707, 30, 140, 71, 100, 430, 632, 861, 906, 741, 73, 600, 474, 135, 66, 916, 409, 800, 877, 648, 369, 507, 711, 348, 442, 688, 649, 986, 178, 209, 749, 13, 205, 41, 326, 798, 884, 60, 231, 812, 658, 33, 766, 583, 565, 669, 979, 595, 921, 306, 230, 823, 283, 367, 311, 502, 648, 284, 906, 83, 316, 934, 840, 55, 916, 5, 385, 466, 940, 880, 900, 525, 507, 828, 202, 611, 211, 231, 330, 412, 624, 625, 884, 648, 456, 87, 661, 47, 401, 323, 102, 787, 447, 433, 979, 650, 777, 914, 848, 479, 431, 936, 957, 383, 566, 292, 787, 304, 511, 724, 850, 190, 806, 524, 147, 37, 53, 372, 468, 491, 729, 434, 827, 536, 98, 601, 382, 17, 912, 600, 604, 417, 975, 422, 906, 347, 463, 134, 566, 653, 579, 699, 605, 941, 314, 846, 201, 551, 7, 393, 355, 723, 951, 684, 752, 765, 528, 957, 227, 513, 174, 525, 757, 291, 88, 630, 713, 861, 697, 712, 904, 583, 790, 613, 67, 80, 701, 934, 604, 270, 86, 368, 761, 533, 644, 315, 919, 93, 608, 528, 367, 478, 925, 826, 748, 30, 872, 157, 330, 6, 232, 396, 411, 761, 292, 346, 456, 888, 650, 296, 20, 914, 216},
{381, 91, 391, 870, 719, 297, 751, 948, 984, 286, 320, 79, 613, 713, 238, 964, 347, 458, 898, 347, 164, 115, 659, 754, 959, 321, 240, 624, 526, 211, 218, 40, 464, 101, 477, 651, 680, 582, 276, 283, 34, 304, 859, 381, 508, 100, 183, 722, 997, 572, 352, 734, 467, 893, 858, 379, 712, 371, 552, 785, 472, 276, 547, 741, 916, 551, 959, 688, 843, 254, 435, 92, 54, 40, 921, 946, 439, 533, 51, 670, 307, 193, 773, 850, 333, 152, 613, 150, 324, 558, 14, 153, 657, 144, 777, 111, 883, 100, 524, 339, 456, 871, 421, 490, 979, 116, 173, 52, 688, 927, 435, 192, 73, 402, 319, 510, 722, 742, 659, 341, 482, 415, 45, 13, 944, 306, 411, 859, 181, 449, 149, 840, 343, 628, 278, 350, 446, 116, 217, 160, 184, 851, 91, 471, 146, 619, 297, 739, 135, 150, 271, 271, 613, 630, 14, 582, 461, 812, 953, 191, 368, 739, 136, 782, 143, 154, 589, 687, 170, 794, 929, 217, 42, 143, 928, 684, 128, 619, 822, 873, 465, 910, 575, 307, 885, 889, 205, 917, 762, 506, 531, 616, 79, 196, 388, 830, 785, 563, 414, 286, 591, 537, 54, 184, 362, 773, 260, 445, 325, 798, 719, 901, 113, 296, 108, 121, 482, 952, 31, 79, 254, 512, 767, 23, 588, 21, 937, 699, 226, 761, 468, 580, 760, 63, 41, 819, 272, 959, 299, 492, 942, 705, 672, 70, 333, 233, 625, 193, 105, 987, 501, 538, 859, 982, 901, 988, 644, 545, 724, 379, 424, 996, 561, 785, 474, 386, 138, 724, 223, 531, 903, 637, 538, 800, 633, 730, 847, 486, 161, 567, 743, 159, 936, 841, 939, 78, 162, 356, 543, 619, 626, 605, 578, 654, 280, 275, 666, 24, 731, 618, 527, 544, 578, 954, 724, 484, 474, 434, 701, 82, 337, 855, 683, 450, 937, 519, 462, 214, 388, 41, 448, 260, 732, 586, 604, 320, 922, 213, 43, 454, 936, 884, 160, 143, 716, 222, 115, 365, 886, 288, 366, 983, 926, 494, 771, 759, 596, 250, 417, 544, 904, 107, 973, 546, 877, 971, 868, 70, 687, 434, 968, 822, 440, 348, 798, 676, 103, 614, 525, 777, 539, 544, 98, 23, 658, 248, 929, 221, 963, 269, 492, 705, 639, 77, 2, 762, 416, 83, 168, 32, 99, 572, 609, 901, 588, 318},
{116, 64, 653, 648, 426, 557, 481, 457, 543, 72, 277, 963, 912, 796, 767, 30, 984, 799, 499, 508, 763, 799, 252, 380, 965, 181, 700, 439, 316, 299, 729, 871, 329, 405, 419, 372, 641, 58, 791, 377, 597, 474, 856, 577, 325, 105, 374, 116, 976, 642, 989, 800, 163, 791, 116, 190, 864, 396, 985, 658, 262, 914, 804, 390, 987, 849, 830, 808, 296, 423, 485, 101, 509, 716, 357, 367, 883, 502, 10, 402, 748, 243, 89, 272, 349, 23, 97, 679, 348, 755, 582, 540, 335, 647, 189, 343, 22, 704, 192, 645, 22, 108, 668, 468, 238, 359, 433, 461, 929, 422, 222, 463, 452, 551, 367, 469, 545, 61, 417, 76, 753, 97, 688, 215, 269, 356, 781, 328, 34, 804, 434, 184, 402, 647, 935, 214, 60, 213, 496, 587, 188, 950, 594, 241, 29, 440, 362, 741, 123, 162, 461, 144, 507, 809, 756, 13, 36, 67, 344, 355, 844, 126, 106, 523, 675, 677, 32, 64, 422, 764, 23, 83, 786, 666, 718, 948, 373, 951, 199, 52, 924, 911, 54, 908, 608, 894, 425, 92, 483, 429, 100, 382, 283, 646, 626, 9, 683, 207, 746, 84, 56, 852, 113, 148, 513, 718, 403, 234, 762, 780, 462, 50, 841, 122, 991, 626, 355, 262, 710, 320, 218, 425, 562, 103, 235, 462, 776, 921, 75, 137, 74, 281, 324, 596, 302, 349, 331, 162, 146, 595, 515, 16, 317, 383, 639, 973, 817, 14, 331, 285, 432, 401, 750, 328, 636, 980, 933, 153, 452, 422, 749, 30, 613, 446, 835, 570, 620, 375, 142, 538, 842, 34, 915, 131, 886, 273, 32, 418, 848, 715, 630, 597, 904, 260, 876, 909, 955, 537, 508, 396, 654, 741, 565, 134, 222, 260, 295, 235, 898, 44, 796, 713, 758, 972, 381, 222, 867, 323, 5, 817, 459, 32, 349, 151, 869, 670, 317, 897, 470, 885, 770, 828, 743, 625, 283, 649, 920, 636, 616, 608, 334, 552, 358, 956, 741, 415, 883, 496, 403, 591, 395, 840, 604, 892, 304, 513, 678, 132, 608, 684, 292, 518, 264, 164, 931, 25, 769, 252, 45, 324, 273, 194, 293, 987, 617, 273, 690, 353, 612, 14, 211, 908, 713, 611, 601, 76, 27, 421, 730, 3, 233, 286, 783, 346, 559, 552, 29, 39, 447, 861, 649, 752, 906, 164, 377, 76, 851},
{988, 267, 433, 900, 672, 947, 441, 217, 103, 156, 687, 985, 584, 155, 881, 17, 548, 899, 977, 791, 203, 446, 108, 993, 664, 160, 134, 184, 774, 728, 191, 840, 585, 864, 862, 390, 452, 835, 514, 242, 780, 640, 882, 73, 729, 745, 233, 759, 605, 775, 261, 462, 238, 436, 456, 292, 382, 279, 807, 903, 54, 588, 609, 125, 777, 822, 577, 447, 901, 533, 673, 771, 502, 624, 836, 331, 912, 147, 268, 123, 589, 571, 69, 475, 816, 593, 782, 633, 792, 138, 843, 351, 720, 112, 13, 525, 852, 893, 643, 840, 877, 258, 6, 263, 658, 651, 972, 940, 64, 288, 78, 774, 585, 560, 331, 438, 490, 601, 205, 163, 501, 699, 886, 907, 366, 424, 245, 899, 247, 958, 928, 652, 533, 159, 707, 725, 574, 267, 435, 447, 790, 67, 12, 766, 841, 472, 327, 202, 824, 227, 449, 583, 959, 412, 258, 903, 878, 928, 315, 157, 384, 991, 7, 449, 560, 933, 898, 43, 149, 299, 808, 242, 429, 283, 303, 181, 228, 81, 215, 654, 258, 572, 297, 103, 739, 114, 303, 725, 118, 869, 654, 522, 757, 277, 318, 702, 675, 710, 691, 549, 752, 382, 97, 298, 349, 827, 954, 13, 941, 47, 824, 767, 221, 567, 273, 637, 50, 182, 988, 175, 848, 141, 619, 46, 258, 875, 588, 456, 360, 160, 510, 853, 375, 741, 943, 146, 500, 111, 867, 311, 468, 10, 687, 887, 496, 718, 590, 260, 507, 942, 753, 74, 910, 343, 249, 371, 766, 339, 478, 247, 852, 872, 654, 918, 19, 214, 109, 111, 219, 753, 219, 563, 786, 925, 326, 282, 833, 107, 341, 900, 160, 319, 608, 119, 647, 97, 265, 740, 974, 676, 507, 271, 382, 981, 120, 379, 344, 535, 188, 790, 278, 515, 91, 335, 826, 660, 792, 932, 816, 633, 940, 297, 755, 736, 479, 990, 585, 600, 334, 263, 481, 570, 204, 805, 663, 32, 664, 124, 565, 859, 588, 787, 188, 483, 355, 157, 184, 828, 447, 577, 974, 517, 817, 193, 262, 275, 810, 707, 358, 438, 563, 427, 113, 840, 522, 874, 632, 103, 126, 118, 596, 544, 755, 688, 749, 506, 798, 662, 67, 886, 4, 8, 147, 44, 360, 792, 637, 75, 413, 236, 882, 643, 264, 859, 516, 165, 504, 173, 437, 183, 986, 476, 446, 174, 639, 300, 853, 878},
{506, 977, 515, 472, 808, 611, 100, 558, 104, 455, 853, 987, 563, 343, 789, 4, 951, 341, 985, 39, 186, 228, 674, 787, 196, 791, 864, 843, 426, 128, 537, 273, 488, 355, 851, 995, 379, 164, 386, 715, 176, 650, 163, 480, 347, 704, 96, 626, 602, 69, 549, 996, 763, 826, 884, 835, 234, 710, 238, 679, 506, 108, 281, 928, 562, 63, 391, 480, 191, 876, 465, 976, 988, 156, 619, 786, 265, 262, 134, 739, 157, 170, 300, 74, 1, 676, 285, 767, 431, 753, 731, 626, 701, 587, 563, 84, 481, 526, 400, 651, 713, 687, 62, 357, 180, 506, 852, 315, 78, 826, 727, 760, 275, 460, 977, 523, 893, 331, 762, 920, 531, 395, 691, 469, 734, 558, 659, 658, 313, 707, 302, 281, 695, 805, 782, 421, 807, 697, 83, 299, 904, 938, 619, 599, 343, 461, 807, 782, 578, 355, 111, 150, 515, 389, 284, 113, 957, 136, 698, 194, 76, 752, 141, 777, 701, 506, 982, 530, 791, 132, 396, 698, 571, 974, 148, 222, 726, 662, 575, 688, 493, 746, 523, 697, 663, 339, 393, 113, 322, 292, 958, 32, 608, 870, 281, 25, 897, 175, 876, 341, 601, 822, 263, 357, 211, 498, 170, 457, 275, 30, 965, 945, 791, 600, 326, 320, 875, 527, 767, 451, 605, 838, 423, 753, 710, 478, 372, 472, 88, 599, 901, 551, 209, 841, 309, 402, 113, 872, 246, 58, 78, 774, 145, 836, 1, 33, 974, 657, 237, 991, 416, 566, 880, 654, 583, 860, 512, 581, 555, 479, 2, 515, 338, 897, 269, 21, 336, 902, 817, 116, 59, 9, 468, 362, 592, 192, 935, 347, 286, 854, 837, 845, 249, 628, 245, 169, 484, 713, 114, 420, 917, 903, 827, 400, 166, 402, 569, 900, 589, 765, 469, 3, 94, 90, 280, 772, 182, 608, 855, 456, 933, 434, 836, 857, 979, 74, 787, 95, 32, 710, 458, 348, 206, 943, 1, 515, 185, 868, 722, 932, 283, 894, 411, 427, 565, 680, 350, 21, 520, 907, 879, 546, 185, 418, 781, 274, 265, 376, 819, 408, 544, 728, 466, 975, 779, 226, 240, 204, 376, 632, 104, 929, 369, 594, 39, 6, 595, 824, 275, 910, 524, 858, 646, 998, 886, 703, 176, 896, 105, 79, 344, 580, 552, 804, 410, 558, 821, 151, 831, 429, 515, 554, 49, 760, 554, 218, 892, 932, 634},
{534, 415, 55, 257, 138, 226, 560, 711, 679, 297, 405, 484, 73, 777, 57, 848, 70, 550, 630, 796, 480, 166, 573, 41, 269, 292, 310, 576, 75, 12, 92, 145, 356, 148, 134, 10, 552, 277, 759, 640, 99, 261, 932, 270, 125, 930, 994, 795, 934, 12, 893, 157, 177, 527, 480, 163, 683, 661, 669, 719, 582, 530, 407, 526, 175, 377, 406, 636, 497, 464, 577, 706, 208, 343, 895, 359, 654, 224, 238, 872, 524, 913, 358, 302, 499, 124, 746, 234, 721, 20, 593, 589, 672, 526, 449, 287, 277, 283, 478, 135, 677, 115, 364, 982, 109, 541, 60, 69, 765, 166, 551, 476, 362, 749, 726, 786, 341, 380, 270, 357, 322, 458, 196, 128, 437, 120, 299, 479, 655, 331, 311, 479, 72, 132, 12, 818, 389, 399, 876, 786, 520, 77, 103, 979, 305, 18, 35, 777, 819, 466, 41, 253, 686, 736, 904, 891, 42, 822, 644, 368, 577, 523, 484, 707, 148, 152, 370, 335, 987, 67, 48, 864, 471, 60, 194, 26, 727, 103, 536, 762, 120, 92, 185, 375, 775, 977, 656, 563, 870, 137, 144, 362, 384, 906, 709, 248, 331, 962, 915, 159, 324, 625, 359, 761, 437, 226, 241, 83, 955, 401, 840, 509, 583, 535, 261, 271, 56, 609, 350, 730, 934, 402, 31, 193, 558, 325, 594, 508, 713, 159, 673, 413, 661, 647, 748, 445, 531, 169, 8, 247, 954, 705, 305, 272, 50, 933, 799, 201, 497, 554, 547, 899, 521, 895, 968, 334, 29, 424, 652, 702, 28, 53, 381, 957, 738, 19, 638, 32, 444, 687, 84, 294, 260, 831, 666, 248, 446, 818, 103, 996, 820, 678, 422, 770, 102, 181, 159, 684, 733, 910, 567, 939, 859, 839, 912, 878, 633, 5, 503, 684, 965, 759, 619, 977, 161, 499, 932, 289, 630, 900, 284, 180, 994, 477, 959, 756, 481, 703, 695, 494, 426, 52, 705, 554, 111, 8, 946, 225, 890, 567, 701, 758, 766, 762, 308, 584, 142, 463, 521, 858, 480, 108, 564, 326, 982, 20, 407, 752, 203, 646, 175, 538, 737, 433, 878, 688, 720, 993, 880, 999, 890, 931, 546, 195, 426, 953, 611, 736, 558, 890, 640, 238, 236, 869, 812, 677, 738, 142, 977, 158, 203, 19, 549, 545, 486, 961, 358, 128, 625, 104, 6, 399, 473, 407, 634, 168, 711, 188, 249, 440},
{578, 992, 936, 984, 88, 653, 346, 6, 454, 890, 792, 147, 711, 15, 234, 875, 233, 123, 132, 380, 980, 665, 923, 303, 808, 448, 416, 980, 106, 893, 921, 390, 363, 905, 374, 641, 20, 752, 966, 730, 60, 212, 89, 188, 406, 605, 464, 446, 98, 484, 425, 14, 622, 445, 214, 10, 522, 978, 26, 211, 583, 298, 299, 518, 502, 816, 375, 695, 899, 320, 261, 282, 967, 896, 667, 814, 818, 389, 902, 906, 813, 451, 459, 234, 784, 304, 354, 233, 63, 954, 355, 104, 644, 896, 251, 798, 699, 349, 212, 783, 818, 655, 142, 711, 69, 771, 591, 646, 983, 691, 492, 67, 37, 269, 461, 723, 65, 116, 888, 331, 325, 184, 377, 219, 585, 180, 322, 300, 707, 187, 637, 151, 684, 743, 641, 560, 982, 141, 137, 657, 345, 910, 566, 577, 911, 282, 931, 719, 640, 920, 850, 805, 526, 393, 722, 327, 34, 606, 472, 482, 509, 958, 775, 360, 60, 35, 956, 974, 551, 482, 995, 701, 908, 122, 204, 849, 871, 435, 156, 350, 732, 340, 424, 37, 322, 542, 504, 556, 724, 826, 51, 753, 757, 366, 262, 251, 256, 487, 742, 65, 589, 384, 723, 278, 642, 918, 835, 236, 706, 31, 964, 214, 326, 239, 870, 270, 184, 397, 394, 783, 526, 156, 34, 269, 455, 562, 627, 143, 670, 850, 655, 522, 878, 741, 437, 554, 137, 518, 101, 458, 868, 732, 749, 219, 130, 635, 691, 859, 18, 344, 946, 284, 723, 297, 501, 983, 892, 784, 939, 298, 380, 200, 149, 485, 417, 197, 771, 636, 502, 105, 952, 281, 30, 819, 724, 658, 798, 860, 52, 756, 36, 456, 174, 623, 539, 317, 369, 955, 829, 232, 686, 626, 979, 726, 516, 652, 914, 835, 75, 88, 521, 433, 17, 441, 897, 694, 436, 549, 392, 971, 446, 246, 882, 811, 373, 806, 919, 869, 372, 893, 931, 197, 915, 646, 676, 769, 184, 645, 539, 122, 859, 702, 58, 672, 195, 822, 269, 634, 532, 212, 97, 412, 620, 938, 2, 63, 199, 672, 560, 665, 297, 962, 457, 444, 625, 690, 627, 104, 258, 622, 918, 97, 504, 525, 707, 508, 526, 884, 342, 797, 767, 106, 189, 924, 736, 11, 262, 252, 989, 537, 180, 200, 457, 835, 184, 839, 396, 364, 530, 478, 313, 148, 381, 821, 202, 119, 697, 489, 286, 336, 277},
{479, 273, 910, 250, 708, 796, 690, 829, 876, 342, 92, 55, 725, 433, 992, 604, 232, 284, 255, 467, 398, 443, 299, 458, 64, 161, 88, 48, 626, 351, 67, 2, 613, 63, 859, 634, 834, 308, 998, 284, 214, 940, 548, 796, 476, 46, 273, 350, 582, 953, 888, 993, 163, 550, 38, 625, 245, 56, 849, 966, 244, 798, 319, 277, 533, 801, 322, 183, 904, 203, 737, 999, 877, 624, 32, 376, 138, 595, 680, 884, 344, 72, 936, 478, 155, 889, 819, 306, 631, 726, 650, 506, 74, 767, 118, 999, 969, 812, 639, 191, 961, 9, 731, 761, 644, 720, 230, 404, 576, 335, 431, 433, 91, 937, 677, 696, 371, 864, 458, 116, 775, 129, 840, 471, 606, 561, 947, 768, 310, 346, 203, 621, 653, 266, 316, 635, 518, 614, 285, 662, 808, 208, 257, 166, 400, 376, 702, 667, 209, 72, 243, 356, 210, 534, 395, 563, 690, 8, 675, 688, 103, 86, 792, 575, 641, 198, 74, 99, 47, 577, 943, 876, 225, 828, 956, 639, 978, 873, 873, 748, 510, 589, 302, 767, 390, 982, 678, 791, 378, 64, 733, 434, 809, 917, 154, 2, 263, 629, 829, 404, 887, 840, 948, 751, 66, 711, 200, 474, 47, 965, 530, 974, 836, 528, 213, 521, 883, 977, 471, 121, 30, 672, 538, 556, 814, 937, 836, 668, 441, 153, 884, 204, 632, 920, 685, 241, 145, 752, 575, 292, 963, 875, 951, 648, 14, 821, 872, 471, 816, 442, 238, 381, 654, 867, 177, 46, 675, 715, 275, 374, 849, 552, 506, 424, 863, 194, 77, 84, 820, 962, 893, 900, 113, 400, 61, 183, 912, 270, 607, 646, 562, 914, 649, 412, 515, 133, 326, 136, 630, 811, 121, 416, 318, 469, 671, 386, 481, 724, 731, 578, 222, 451, 742, 728, 27, 50, 384, 189, 490, 835, 539, 2, 686, 2, 350, 477, 974, 7, 430, 370, 352, 532, 826, 307, 498, 322, 52, 177, 265, 336, 336, 609, 718, 649, 283, 509, 768, 434, 258, 821, 70, 186, 199, 410, 140, 76, 980, 905, 594, 938, 131, 905, 954, 949, 477, 738, 772, 475, 253, 270, 695, 938, 304, 931, 651, 801, 306, 215, 565, 900, 289, 365, 882, 485, 391, 917, 697, 227, 447, 5, 484, 397, 943, 77, 244, 161, 878, 799, 416, 658, 306, 404, 18, 105, 666, 692, 298, 688, 530, 242, 680, 424},
{61, 75, 850, 445, 308, 233, 654, 466, 446, 210, 897, 223, 181, 202, 226, 798, 881, 438, 8, 632, 408, 696, 559, 890, 223, 214, 102, 615, 158, 846, 551, 739, 92, 274, 623, 611, 895, 477, 763, 169, 227, 486, 86, 241, 131, 642, 863, 800, 973, 182, 90, 116, 905, 21, 301, 917, 932, 19, 145, 638, 672, 826, 165, 734, 43, 686, 866, 911, 464, 182, 435, 779, 620, 984, 391, 111, 487, 118, 75, 413, 106, 101, 82, 944, 538, 629, 689, 693, 561, 112, 868, 48, 892, 458, 688, 85, 179, 31, 793, 447, 556, 535, 173, 760, 304, 943, 599, 437, 21, 259, 995, 463, 778, 25, 440, 497, 928, 21, 709, 185, 580, 503, 52, 101, 275, 679, 349, 144, 70, 864, 955, 540, 57, 879, 269, 794, 325, 842, 536, 124, 510, 419, 479, 863, 375, 8, 69, 362, 320, 67, 196, 650, 306, 992, 29, 1, 463, 526, 564, 78, 554, 667, 274, 24, 563, 457, 745, 232, 869, 805, 916, 981, 914, 736, 851, 381, 742, 44, 980, 254, 563, 380, 408, 708, 299, 193, 170, 130, 91, 815, 322, 254, 948, 191, 332, 790, 993, 409, 548, 791, 284, 256, 444, 584, 805, 440, 918, 644, 26, 37, 210, 189, 362, 939, 838, 666, 9, 811, 599, 530, 835, 80, 810, 879, 498, 42, 905, 581, 455, 21, 989, 511, 345, 816, 158, 376, 41, 413, 221, 410, 752, 9, 972, 895, 755, 963, 288, 93, 669, 178, 172, 637, 716, 752, 297, 888, 93, 527, 751, 32, 357, 219, 435, 948, 780, 465, 33, 27, 690, 997, 536, 76, 162, 572, 75, 490, 862, 26, 179, 646, 445, 19, 693, 257, 649, 602, 259, 82, 219, 743, 644, 966, 774, 322, 255, 631, 40, 939, 826, 39, 214, 60, 636, 440, 790, 644, 580, 393, 868, 434, 124, 149, 825, 491, 400, 799, 246, 417, 762, 509, 173, 917, 660, 944, 62, 32, 10, 755, 314, 385, 182, 601, 890, 295, 289, 715, 307, 411, 714, 497, 264, 848, 741, 909, 271, 460, 675, 763, 867, 939, 95, 114, 513, 998, 716, 49, 720, 683, 893, 139, 807, 264, 969, 700, 490, 788, 519, 795, 590, 543, 31, 589, 338, 157, 726, 302, 108, 23, 28, 462, 927, 52, 640, 614, 774, 498, 354, 933, 508, 746, 430, 417, 256, 506, 891, 476, 204, 825, 107, 760, 66, 665, 818},
{15, 910, 590, 166, 588, 677, 291, 316, 9, 439, 209, 16, 647, 419, 581, 776, 119, 808, 562, 411, 498, 699, 912, 329, 822, 821, 952, 346, 646, 290, 67, 765, 600, 329, 105, 105, 996, 723, 418, 217, 547, 822, 123, 443, 149, 54, 405, 136, 531, 240, 349, 92, 260, 504, 808, 437, 252, 153, 283, 49, 455, 779, 672, 869, 822, 703, 993, 367, 42, 48, 877, 953, 731, 951, 699, 387, 1, 876, 712, 65, 299, 526, 449, 628, 499, 627, 946, 499, 994, 713, 61, 798, 414, 95, 254, 598, 226, 395, 766, 618, 104, 398, 990, 268, 460, 459, 222, 428, 908, 394, 672, 468, 798, 602, 819, 776, 136, 143, 662, 523, 361, 641, 466, 458, 497, 177, 899, 303, 90, 757, 268, 688, 254, 616, 705, 644, 855, 288, 784, 397, 549, 377, 970, 557, 946, 986, 784, 831, 659, 11, 273, 88, 344, 882, 677, 920, 176, 925, 727, 875, 353, 126, 51, 133, 327, 34, 625, 782, 495, 490, 977, 754, 948, 65, 150, 135, 742, 393, 31, 817, 832, 96, 735, 444, 477, 611, 183, 120, 444, 37, 851, 662, 775, 57, 998, 58, 249, 118, 284, 322, 895, 283, 822, 218, 129, 628, 200, 131, 65, 591, 855, 933, 636, 441, 547, 864, 941, 910, 333, 277, 71, 82, 598, 625, 364, 815, 197, 180, 608, 365, 681, 815, 242, 346, 956, 642, 987, 872, 400, 391, 712, 525, 662, 246, 477, 785, 900, 238, 920, 698, 159, 416, 120, 842, 973, 752, 36, 114, 53, 148, 488, 450, 54, 953, 368, 380, 68, 154, 443, 202, 410, 711, 702, 677, 709, 628, 630, 334, 86, 922, 209, 901, 426, 108, 708, 893, 376, 719, 541, 107, 673, 110, 534, 618, 906, 36, 990, 897, 576, 523, 815, 820, 609, 125, 810, 678, 105, 955, 944, 784, 143, 842, 66, 888, 945, 483, 21, 436, 562, 799, 630, 622, 481, 528, 284, 330, 292, 696, 190, 287, 573, 803, 469, 197, 688, 436, 366, 180, 56, 546, 790, 587, 766, 834, 323, 139, 134, 484, 571, 380, 868, 26, 473, 656, 92, 249, 742, 161, 336, 876, 140, 105, 3, 202, 698, 765, 491, 10, 297, 958, 364, 854, 261, 476, 461, 252, 743, 176, 822, 368, 719, 676, 668, 603, 329, 113, 430, 821, 203, 944, 21, 51, 92, 632, 99, 216, 864, 889, 103, 804, 423, 288, 174, 412},
{621, 234, 938, 806, 624, 739, 316, 465, 427, 903, 95, 568, 464, 788, 109, 59, 327, 166, 204, 696, 603, 677, 67, 10, 786, 70, 195, 662, 998, 549, 967, 23, 12, 712, 779, 673, 654, 215, 704, 181, 276, 96, 4, 699, 320, 614, 45, 862, 469, 612, 909, 21, 21, 622, 18, 45, 373, 398, 611, 841, 509, 98, 817, 201, 391, 103, 328, 834, 21, 311, 420, 255, 727, 829, 188, 680, 935, 146, 335, 287, 248, 262, 845, 932, 213, 730, 160, 960, 517, 266, 212, 801, 712, 375, 875, 867, 746, 461, 850, 682, 766, 982, 50, 259, 639, 554, 847, 510, 611, 304, 375, 854, 376, 436, 188, 267, 547, 694, 222, 703, 230, 327, 963, 245, 933, 273, 125, 292, 535, 472, 940, 864, 396, 611, 391, 359, 22, 178, 301, 162, 834, 356, 237, 128, 733, 192, 605, 259, 127, 440, 148, 908, 27, 701, 279, 398, 611, 751, 379, 282, 388, 473, 165, 382, 729, 429, 765, 315, 57, 897, 953, 501, 442, 168, 284, 521, 691, 964, 543, 267, 270, 178, 27, 526, 570, 435, 611, 549, 87, 697, 522, 628, 63, 725, 973, 941, 14, 198, 574, 738, 357, 284, 514, 436, 42, 679, 48, 375, 688, 469, 744, 743, 239, 701, 276, 704, 551, 206, 289, 835, 652, 44, 13, 797, 636, 931, 850, 553, 274, 135, 112, 596, 479, 613, 457, 341, 683, 655, 350, 268, 58, 841, 34, 465, 226, 945, 80, 917, 833, 285, 612, 279, 844, 132, 628, 871, 964, 11, 717, 375, 925, 91, 623, 966, 687, 451, 741, 705, 774, 667, 672, 583, 99, 35, 343, 999, 580, 782, 72, 349, 834, 740, 191, 69, 984, 325, 460, 743, 374, 112, 587, 817, 625, 972, 612, 44, 965, 486, 776, 55, 251, 336, 780, 333, 406, 466, 990, 435, 292, 75, 268, 516, 170, 900, 537, 104, 976, 872, 165, 557, 619, 892, 467, 886, 379, 424, 405, 390, 280, 610, 636, 106, 995, 819, 593, 219, 441, 910, 212, 349, 725, 979, 255, 155, 536, 57, 904, 773, 350, 28, 457, 402, 76, 34, 509, 788, 900, 754, 956, 444, 93, 255, 526, 181, 507, 555, 308, 950, 359, 649, 929, 34, 595, 498, 620, 346, 849, 424, 378, 995, 551, 406, 860, 253, 197, 13, 420, 771, 217, 107, 909, 276, 122, 972, 499, 867, 818, 243, 773, 817, 85, 859, 793, 970, 203},
{278, 641, 896, 635, 351, 218, 506, 493, 604, 700, 164, 211, 123, 109, 231, 524, 895, 906, 588, 359, 269, 418, 929, 666, 92, 107, 501, 637, 268, 450, 555, 915, 664, 216, 970, 664, 772, 449, 388, 343, 63, 356, 712, 69, 742, 592, 53, 293, 474, 150, 975, 325, 687, 179, 467, 911, 302, 570, 144, 702, 38, 74, 65, 897, 4, 50, 969, 839, 923, 700, 862, 570, 181, 753, 686, 651, 860, 148, 216, 628, 68, 207, 427, 589, 143, 170, 333, 206, 811, 691, 668, 463, 922, 145, 890, 95, 194, 90, 658, 335, 292, 298, 326, 238, 680, 114, 34, 212, 841, 717, 638, 870, 946, 75, 81, 531, 500, 987, 786, 910, 279, 634, 342, 672, 655, 481, 4, 460, 484, 210, 548, 985, 832, 605, 631, 548, 217, 951, 49, 81, 449, 559, 278, 459, 854, 486, 228, 347, 414, 408, 409, 267, 326, 825, 598, 973, 596, 510, 683, 441, 531, 142, 527, 921, 418, 611, 627, 638, 251, 321, 816, 613, 114, 155, 477, 33, 685, 471, 572, 322, 407, 598, 265, 815, 28, 820, 99, 486, 628, 800, 488, 708, 698, 665, 739, 455, 551, 776, 947, 618, 156, 311, 905, 394, 457, 357, 568, 787, 410, 166, 730, 334, 202, 581, 312, 65, 648, 430, 55, 619, 304, 843, 483, 138, 607, 39, 711, 224, 325, 118, 39, 871, 584, 795, 312, 680, 61, 798, 715, 86, 251, 871, 987, 622, 309, 955, 62, 407, 634, 91, 792, 157, 238, 75, 707, 40, 939, 684, 738, 571, 625, 556, 455, 596, 86, 430, 648, 110, 486, 540, 17, 311, 113, 365, 303, 798, 856, 858, 492, 292, 849, 487, 572, 575, 754, 158, 904, 645, 490, 124, 509, 192, 590, 499, 388, 597, 962, 896, 588, 644, 544, 978, 851, 970, 255, 459, 565, 108, 673, 182, 208, 643, 69, 423, 654, 622, 784, 511, 492, 833, 467, 161, 988, 12, 324, 689, 458, 333, 394, 402, 558, 774, 818, 998, 481, 60, 222, 809, 98, 943, 622, 40, 851, 528, 712, 946, 617, 144, 6, 84, 784, 113, 45, 319, 545, 330, 845, 291, 745, 208, 793, 426, 679, 966, 434, 373, 894, 661, 20, 976, 411, 610, 184, 483, 763, 75, 841, 716, 924, 154, 246, 389, 471, 855, 164, 523, 334, 209, 304, 232, 81, 119, 426, 716, 962, 366, 79, 422, 909, 806, 538, 734, 210, 333, 290, 464},
{896, 643, 392, 631, 741, 165, 120, 776, 335, 777, 587, 37, 924, 105, 434, 794, 576, 243, 270, 536, 745, 746, 272, 909, 519, 579, 233, 630, 648, 524, 403, 54, 972, 243, 664, 696, 4, 760, 932, 965, 229, 670, 195, 643, 179, 762, 261, 455, 419, 90, 136, 165, 392, 707, 888, 204, 492, 471, 52, 793, 831, 294, 854, 908, 898, 204, 67, 148, 736, 420, 820, 821, 300, 379, 542, 83, 386, 349, 66, 977, 898, 788, 25, 639, 227, 127, 924, 673, 222, 992, 607, 996, 576, 213, 424, 984, 424, 93, 101, 824, 617, 595, 146, 383, 460, 42, 659, 736, 639, 843, 585, 752, 701, 635, 747, 753, 735, 861, 522, 348, 821, 525, 606, 962, 409, 327, 172, 503, 51, 882, 600, 787, 795, 37, 146, 142, 114, 560, 101, 561, 464, 670, 476, 387, 439, 885, 787, 308, 2, 698, 238, 813, 477, 429, 529, 927, 826, 416, 527, 168, 201, 373, 225, 199, 961, 365, 828, 572, 129, 342, 250, 274, 704, 595, 21, 546, 442, 801, 411, 602, 400, 549, 563, 375, 44, 400, 552, 448, 796, 512, 614, 630, 620, 859, 194, 435, 663, 898, 112, 905, 59, 274, 870, 784, 642, 855, 83, 48, 790, 939, 40, 186, 541, 908, 696, 450, 895, 77, 725, 461, 517, 654, 839, 206, 43, 50, 280, 467, 871, 730, 227, 163, 619, 957, 907, 884, 389, 550, 319, 195, 601, 700, 855, 852, 461, 548, 561, 230, 21, 893, 401, 593, 417, 911, 724, 836, 105, 234, 44, 475, 797, 50, 360, 429, 414, 190, 539, 178, 507, 278, 636, 375, 565, 120, 672, 891, 67, 469, 79, 578, 376, 191, 908, 722, 413, 636, 987, 313, 499, 704, 328, 727, 965, 718, 547, 385, 900, 694, 479, 266, 893, 26, 897, 895, 734, 914, 47, 578, 824, 101, 686, 186, 481, 572, 484, 782, 415, 981, 876, 734, 394, 425, 995, 696, 522, 99, 821, 84, 620, 103, 528, 183, 908, 304, 883, 78, 555, 774, 643, 927, 705, 755, 113, 974, 267, 506, 442, 830, 79, 663, 754, 227, 87, 946, 915, 436, 809, 126, 606, 978, 672, 186, 373, 83, 756, 536, 495, 594, 156, 905, 846, 686, 378, 322, 391, 751, 179, 185, 608, 349, 812, 972, 929, 909, 919, 581, 206, 201, 183, 631, 366, 205, 432, 336, 645, 169, 114, 697, 218, 65, 883, 827, 628, 583, 648, 221, 134},
{109, 519, 633, 991, 809, 33, 39, 738, 111, 442, 817, 721, 317, 73, 922, 494, 101, 531, 298, 214, 882, 12, 199, 826, 891, 90, 415, 663, 825, 153, 602, 56, 579, 52, 62, 713, 481, 668, 341, 882, 830, 816, 988, 792, 308, 307, 607, 464, 995, 75, 149, 746, 335, 963, 28, 342, 353, 167, 192, 685, 843, 303, 798, 739, 41, 843, 474, 183, 489, 912, 472, 7, 461, 484, 196, 216, 264, 678, 664, 225, 228, 120, 534, 502, 994, 346, 137, 241, 945, 830, 877, 113, 292, 474, 20, 657, 367, 371, 524, 525, 127, 231, 152, 534, 749, 75, 472, 494, 462, 757, 775, 841, 433, 397, 144, 389, 619, 30, 77, 915, 970, 664, 175, 902, 294, 452, 308, 444, 334, 865, 622, 257, 414, 618, 486, 749, 15, 567, 205, 320, 246, 965, 894, 397, 66, 286, 445, 265, 440, 256, 889, 378, 382, 895, 821, 672, 937, 121, 738, 415, 769, 907, 291, 214, 904, 99, 484, 134, 612, 700, 803, 324, 138, 887, 76, 133, 178, 36, 668, 489, 601, 770, 242, 220, 867, 440, 879, 60, 26, 410, 863, 339, 959, 283, 771, 727, 748, 482, 820, 943, 653, 634, 618, 57, 219, 843, 549, 847, 452, 240, 32, 720, 837, 201, 816, 821, 198, 183, 279, 339, 72, 482, 422, 456, 300, 77, 882, 52, 3, 371, 843, 46, 965, 865, 111, 230, 745, 700, 46, 540, 475, 563, 229, 975, 414, 686, 945, 808, 815, 517, 616, 284, 546, 179, 279, 747, 202, 24, 123, 38, 186, 413, 842, 1, 312, 380, 269, 210, 27, 946, 369, 309, 268, 709, 154, 925, 307, 760, 503, 760, 671, 129, 191, 283, 373, 711, 634, 462, 241, 104, 31, 65, 92, 807, 559, 396, 857, 72, 281, 748, 541, 3, 226, 491, 65, 649, 889, 450, 643, 477, 40, 167, 321, 33, 307, 704, 679, 604, 471, 878, 565, 397, 789, 214, 848, 61, 949, 428, 882, 400, 450, 980, 311, 793, 299, 66, 339, 93, 933, 438, 380, 793, 171, 639, 263, 859, 811, 506, 791, 884, 251, 333, 545, 177, 82, 695, 228, 986, 199, 736, 751, 301, 367, 659, 527, 562, 570, 292, 85, 215, 682, 839, 242, 198, 214, 366, 528, 394, 891, 108, 478, 529, 871, 485, 680, 258, 201, 525, 202, 967, 978, 485, 123, 351, 326, 644, 415, 940, 898, 609, 344, 622, 164, 969, 902, 591, 77, 820},
{524, 356, 116, 497, 455, 154, 860, 840, 747, 600, 403, 453, 758, 456, 968, 696, 425, 175, 995, 643, 363, 265, 845, 782, 982, 588, 15, 56, 426, 416, 396, 720, 124, 439, 732, 599, 126, 955, 829, 521, 211, 153, 515, 137, 954, 729, 609, 835, 561, 108, 336, 203, 291, 141, 748, 296, 721, 514, 715, 44, 943, 36, 925, 235, 6, 600, 209, 887, 580, 907, 173, 285, 867, 955, 791, 572, 230, 894, 123, 640, 882, 109, 769, 941, 271, 267, 46, 998, 413, 662, 71, 648, 591, 365, 169, 443, 247, 588, 26, 252, 843, 198, 18, 796, 758, 485, 19, 766, 966, 145, 771, 208, 402, 916, 600, 46, 404, 496, 853, 3, 573, 127, 939, 652, 698, 752, 273, 43, 162, 737, 725, 110, 372, 923, 426, 149, 317, 256, 876, 669, 295, 265, 370, 325, 258, 469, 680, 6, 939, 157, 790, 823, 155, 53, 221, 463, 214, 105, 165, 304, 393, 999, 201, 770, 799, 36, 842, 632, 771, 667, 537, 345, 158, 380, 52, 52, 433, 554, 331, 604, 644, 618, 53, 780, 576, 118, 80, 910, 398, 271, 934, 286, 254, 232, 243, 51, 934, 527, 793, 757, 803, 103, 528, 401, 615, 969, 277, 554, 720, 729, 509, 159, 431, 108, 737, 642, 7, 249, 430, 299, 755, 672, 480, 284, 319, 731, 332, 140, 10, 877, 842, 521, 447, 277, 837, 665, 410, 117, 100, 190, 933, 480, 230, 8, 227, 781, 421, 517, 883, 599, 670, 712, 216, 179, 388, 548, 263, 22, 683, 710, 175, 746, 786, 931, 243, 838, 267, 115, 771, 13, 676, 835, 382, 628, 233, 250, 93, 36, 983, 4, 700, 773, 658, 561, 574, 244, 78, 232, 952, 891, 541, 287, 249, 910, 105, 777, 642, 214, 40, 46, 478, 714, 34, 478, 577, 997, 902, 737, 600, 81, 681, 586, 31, 296, 949, 390, 170, 279, 184, 607, 789, 676, 721, 856, 711, 466, 663, 647, 659, 709, 660, 509, 166, 148, 75, 38, 205, 322, 436, 311, 452, 754, 476, 275, 805, 341, 273, 921, 826, 288, 196, 520, 298, 798, 407, 735, 955, 260, 662, 200, 775, 856, 18, 981, 890, 364, 848, 460, 339, 408, 262, 289, 354, 588, 606, 507, 844, 699, 265, 367, 32, 743, 347, 97, 965, 550, 191, 682, 779, 590, 835, 687, 94, 15, 741, 292, 932, 41, 57, 44, 905, 544, 709, 211, 136, 130, 414, 293, 634},
{8, 451, 970, 376, 720, 751, 702, 338, 134, 370, 262, 138, 145, 904, 722, 737, 217, 808, 802, 860, 243, 819, 26, 403, 166, 930, 822, 124, 507, 424, 604, 351, 222, 475, 816, 234, 273, 788, 154, 355, 943, 489, 461, 136, 193, 274, 301, 510, 270, 403, 831, 840, 423, 688, 412, 862, 760, 64, 316, 765, 243, 660, 27, 148, 336, 585, 876, 699, 65, 745, 170, 945, 104, 137, 551, 279, 32, 984, 73, 794, 101, 18, 331, 191, 676, 908, 64, 69, 36, 655, 820, 498, 330, 230, 654, 675, 360, 361, 316, 771, 251, 704, 86, 865, 254, 985, 204, 966, 675, 913, 860, 704, 357, 814, 815, 200, 248, 931, 29, 21, 324, 329, 142, 871, 539, 141, 231, 865, 542, 695, 42, 790, 604, 676, 805, 788, 588, 90, 853, 244, 796, 223, 431, 494, 257, 226, 535, 179, 287, 175, 122, 654, 249, 704, 747, 922, 994, 385, 552, 954, 843, 28, 506, 117, 900, 991, 16, 649, 136, 426, 314, 793, 923, 61, 516, 205, 684, 819, 907, 773, 848, 42, 763, 801, 633, 565, 12, 794, 987, 257, 103, 766, 659, 826, 756, 70, 541, 937, 641, 233, 303, 690, 640, 188, 876, 513, 82, 574, 540, 395, 188, 523, 155, 175, 59, 408, 661, 280, 700, 609, 42, 931, 961, 238, 795, 316, 742, 115, 441, 645, 549, 16, 654, 340, 245, 380, 465, 800, 850, 184, 340, 349, 402, 673, 93, 978, 130, 3, 289, 469, 713, 592, 236, 289, 937, 200, 690, 462, 858, 290, 152, 228, 515, 254, 953, 887, 262, 458, 426, 730, 72, 867, 64, 275, 520, 232, 974, 374, 703, 409, 906, 923, 72, 440, 767, 989, 972, 400, 888, 203, 755, 897, 245, 169, 422, 330, 445, 447, 158, 637, 622, 400, 539, 361, 252, 822, 882, 278, 539, 813, 938, 712, 247, 776, 155, 948, 769, 800, 783, 788, 765, 928, 386, 438, 940, 958, 727, 338, 392, 524, 600, 506, 476, 139, 866, 208, 358, 806, 879, 525, 209, 547, 512, 477, 552, 918, 197, 876, 381, 169, 759, 41, 499, 213, 307, 789, 990, 982, 162, 927, 864, 64, 572, 529, 671, 718, 4, 910, 342, 557, 876, 129, 593, 132, 952, 209, 978, 671, 20, 77, 64, 49, 103, 338, 296, 797, 236, 648, 802, 658, 695, 392, 773, 740, 731, 787, 88, 793, 9, 336, 524, 533, 388, 745, 246, 193, 222, 77, 260, 700},
{22, 861, 167, 975, 233, 395, 864, 819, 844, 209, 823, 825, 739, 13, 155, 506, 30, 981, 998, 610, 69, 366, 680, 174, 510, 842, 666, 440, 547, 870, 622, 192, 422, 628, 744, 390, 423, 738, 135, 298, 818, 103, 170, 379, 610, 647, 709, 382, 574, 673, 510, 949, 769, 806, 392, 6, 593, 260, 557, 930, 507, 225, 938, 262, 746, 730, 629, 216, 702, 237, 240, 857, 157, 579, 508, 163, 232, 571, 589, 502, 744, 786, 254, 333, 617, 531, 644, 1, 170, 17, 328, 577, 363, 81, 146, 636, 567, 597, 740, 682, 996, 876, 729, 718, 718, 941, 180, 102, 96, 567, 429, 407, 552, 352, 334, 469, 808, 894, 676, 183, 130, 372, 851, 913, 639, 399, 900, 559, 493, 111, 659, 402, 526, 789, 54, 921, 33, 232, 587, 594, 472, 271, 638, 591, 261, 507, 511, 953, 251, 380, 76, 483, 151, 134, 465, 112, 962, 133, 496, 969, 406, 225, 441, 695, 453, 535, 279, 814, 343, 167, 820, 145, 861, 754, 932, 292, 247, 740, 651, 224, 830, 503, 133, 845, 371, 220, 230, 234, 140, 438, 19, 915, 954, 837, 685, 164, 772, 626, 66, 779, 915, 317, 537, 258, 708, 373, 122, 536, 114, 389, 419, 753, 939, 966, 433, 587, 320, 468, 435, 756, 490, 141, 760, 228, 288, 911, 853, 516, 460, 307, 891, 216, 585, 548, 94, 570, 357, 853, 146, 435, 57, 386, 212, 506, 239, 64, 712, 999, 90, 691, 348, 325, 434, 453, 882, 433, 52, 850, 832, 645, 870, 582, 521, 774, 560, 702, 923, 240, 261, 636, 362, 726, 478, 259, 363, 634, 683, 331, 950, 208, 768, 992, 226, 770, 322, 939, 321, 926, 621, 117, 757, 952, 378, 494, 736, 832, 476, 532, 169, 585, 436, 462, 80, 568, 849, 375, 575, 431, 792, 450, 723, 280, 112, 323, 565, 372, 515, 732, 954, 393, 594, 106, 76, 921, 274, 654, 306, 232, 691, 887, 558, 974, 177, 220, 347, 584, 829, 439, 618, 528, 167, 405, 795, 575, 471, 287, 609, 367, 726, 996, 10, 468, 528, 269, 863, 943, 913, 18, 208, 258, 843, 147, 538, 956, 5, 33, 986, 158, 622, 239, 270, 347, 264, 880, 978, 360, 970, 210, 105, 716, 594, 647, 726, 666, 931, 482, 397, 396, 109, 913, 107, 868, 652, 905, 653, 656, 886, 597, 880, 973, 598, 645, 507, 799, 415, 918, 221, 657, 936, 440, 301},
{118, 521, 314, 267, 544, 501, 671, 966, 963, 778, 324, 74, 179, 967, 906, 175, 408, 682, 780, 512, 813, 155, 857, 949, 236, 96, 822, 960, 357, 569, 912, 210, 264, 756, 558, 875, 120, 611, 683, 944, 215, 837, 410, 563, 193, 73, 230, 982, 644, 860, 455, 742, 601, 830, 901, 553, 651, 449, 307, 723, 571, 872, 958, 110, 361, 726, 338, 294, 544, 56, 407, 104, 428, 348, 291, 636, 781, 236, 720, 690, 34, 453, 592, 856, 693, 669, 372, 550, 127, 53, 903, 972, 239, 830, 361, 299, 886, 620, 722, 420, 18, 35, 148, 184, 666, 910, 74, 429, 917, 513, 679, 32, 868, 265, 602, 841, 428, 836, 438, 641, 535, 943, 614, 203, 985, 834, 671, 102, 607, 223, 862, 216, 961, 395, 247, 711, 101, 312, 132, 885, 155, 799, 796, 486, 700, 330, 927, 928, 913, 481, 84, 442, 493, 882, 814, 295, 228, 357, 762, 122, 834, 993, 200, 876, 433, 116, 954, 60, 589, 421, 629, 723, 362, 130, 330, 159, 234, 620, 878, 374, 75, 852, 606, 171, 556, 882, 403, 112, 530, 882, 640, 751, 944, 407, 937, 232, 800, 56, 553, 778, 498, 333, 304, 659, 700, 232, 550, 913, 455, 4, 730, 501, 948, 662, 365, 593, 670, 971, 214, 346, 211, 84, 505, 918, 137, 528, 755, 415, 653, 933, 727, 148, 781, 767, 495, 887, 859, 327, 415, 748, 29, 453, 58, 981, 224, 698, 776, 213, 875, 217, 658, 619, 198, 245, 60, 100, 448, 849, 774, 771, 980, 573, 189, 7, 300, 707, 417, 796, 535, 183, 510, 430, 930, 502, 330, 371, 42, 690, 562, 716, 252, 996, 639, 831, 140, 940, 69, 569, 13, 375, 772, 17, 582, 391, 545, 812, 404, 304, 694, 946, 163, 414, 232, 370, 334, 955, 752, 900, 33, 426, 249, 665, 121, 517, 694, 759, 756, 964, 169, 909, 580, 948, 651, 654, 744, 133, 423, 963, 751, 14, 133, 292, 900, 36, 222, 754, 752, 845, 352, 509, 612, 110, 907, 436, 499, 587, 409, 905, 446, 502, 927, 759, 274, 843, 153, 630, 152, 869, 842, 364, 387, 998, 756, 657, 854, 262, 52, 929, 423, 641, 325, 129, 531, 984, 159, 413, 792, 634, 62, 594, 148, 561, 154, 824, 603, 589, 821, 247, 64, 227, 835, 242, 69, 772, 78, 458, 567, 562, 158, 24, 945, 705, 622, 222, 658, 188, 418, 433, 750, 977, 532, 325},
{439, 647, 457, 129, 732, 57, 226, 324, 725, 885, 320, 215, 838, 93, 630, 673, 745, 959, 25, 831, 171, 2, 791, 570, 36, 871, 386, 478, 665, 351, 453, 367, 900, 687, 57, 521, 983, 794, 418, 612, 44, 312, 223, 610, 850, 107, 746, 74, 242, 582, 621, 945, 338, 57, 72, 306, 165, 566, 806, 613, 823, 667, 611, 608, 717, 213, 841, 430, 608, 607, 655, 450, 504, 750, 850, 32, 446, 749, 583, 693, 288, 467, 85, 133, 462, 162, 727, 202, 553, 790, 454, 182, 202, 44, 607, 657, 535, 781, 680, 867, 794, 389, 361, 675, 335, 463, 510, 176, 478, 389, 406, 550, 973, 613, 653, 963, 971, 836, 645, 204, 508, 922, 387, 251, 423, 71, 750, 188, 571, 655, 979, 685, 932, 212, 343, 790, 932, 220, 383, 899, 887, 719, 112, 622, 978, 279, 855, 696, 596, 534, 174, 222, 184, 308, 442, 298, 951, 333, 220, 539, 965, 727, 494, 80, 126, 649, 260, 370, 530, 34, 648, 537, 527, 906, 9, 75, 558, 536, 938, 404, 505, 601, 209, 162, 867, 625, 981, 156, 547, 180, 461, 567, 392, 700, 389, 344, 956, 370, 337, 723, 110, 156, 850, 470, 237, 988, 845, 727, 767, 73, 558, 353, 692, 481, 544, 212, 532, 506, 889, 207, 962, 744, 845, 738, 911, 510, 542, 877, 492, 962, 329, 804, 579, 309, 527, 940, 170, 513, 90, 780, 948, 243, 710, 636, 618, 180, 452, 382, 624, 389, 823, 823, 894, 217, 569, 482, 79, 4, 114, 436, 556, 22, 738, 373, 187, 181, 77, 124, 366, 440, 455, 791, 460, 370, 917, 51, 96, 964, 531, 287, 111, 644, 703, 59, 184, 362, 807, 785, 301, 868, 348, 640, 235, 482, 282, 409, 192, 162, 881, 438, 581, 284, 680, 892, 657, 298, 661, 229, 424, 332, 794, 184, 771, 930, 467, 593, 268, 292, 120, 48, 440, 804, 634, 729, 640, 199, 605, 768, 781, 334, 680, 122, 357, 509, 558, 271, 126, 191, 69, 18, 785, 206, 12, 258, 745, 812, 62, 922, 874, 485, 101, 174, 676, 956, 820, 564, 927, 783, 248, 98, 243, 710, 192, 41, 349, 177, 212, 888, 163, 589, 845, 108, 871, 405, 298, 159, 322, 624, 692, 804, 981, 59, 285, 924, 605, 585, 766, 885, 553, 685, 860, 996, 380, 726, 983, 765, 903, 838, 624, 454, 506, 709, 461, 914, 780, 342, 955, 785, 986, 586, 321, 945, 10},
{287, 300, 516, 603, 997, 161, 817, 789, 523, 671, 424, 181, 975, 597, 878, 877, 683, 418, 653, 319, 993, 583, 707, 150, 988, 565, 324, 712, 164, 412, 950, 272, 372, 270, 468, 427, 723, 573, 619, 486, 670, 200, 364, 742, 201, 916, 550, 720, 932, 882, 614, 418, 913, 765, 990, 544, 80, 327, 533, 508, 686, 926, 509, 682, 466, 466, 701, 76, 939, 769, 696, 84, 90, 222, 735, 433, 533, 796, 352, 793, 487, 250, 636, 758, 23, 375, 132, 98, 572, 651, 281, 208, 211, 575, 841, 696, 940, 216, 886, 891, 151, 269, 849, 877, 410, 991, 550, 315, 982, 925, 325, 947, 819, 228, 165, 162, 256, 783, 243, 394, 354, 996, 329, 519, 633, 311, 387, 516, 907, 51, 47, 920, 113, 153, 783, 527, 265, 699, 329, 811, 175, 957, 295, 351, 123, 773, 10, 299, 485, 797, 309, 611, 201, 966, 372, 312, 56, 79, 751, 542, 987, 113, 400, 519, 10, 126, 859, 823, 875, 193, 760, 628, 342, 876, 443, 559, 702, 125, 822, 924, 316, 348, 569, 903, 983, 643, 319, 168, 400, 808, 895, 70, 336, 805, 461, 207, 883, 824, 103, 698, 879, 939, 611, 918, 561, 622, 123, 843, 627, 80, 820, 352, 143, 419, 147, 45, 129, 185, 834, 171, 273, 667, 581, 238, 904, 699, 392, 776, 307, 379, 452, 485, 418, 246, 888, 707, 244, 963, 924, 765, 617, 519, 755, 191, 450, 236, 926, 311, 326, 662, 122, 950, 76, 553, 59, 238, 972, 683, 595, 649, 314, 220, 273, 439, 465, 720, 251, 556, 877, 614, 996, 3, 198, 192, 147, 325, 364, 699, 688, 622, 482, 151, 959, 978, 377, 844, 14, 752, 908, 372, 569, 479, 573, 138, 105, 490, 417, 990, 669, 482, 12, 614, 608, 422, 90, 738, 744, 146, 453, 69, 485, 925, 935, 72, 988, 113, 517, 393, 757, 664, 194, 752, 1, 15, 816, 595, 670, 265, 916, 669, 337, 129, 496, 942, 972, 409, 852, 970, 260, 33, 782, 899, 273, 838, 908, 782, 247, 387, 479, 776, 668, 4, 695, 93, 117, 200, 517, 284, 128, 342, 943, 569, 834, 185, 974, 397, 310, 438, 788, 400, 336, 84, 213, 223, 788, 533, 219, 418, 956, 60, 3, 791, 886, 147, 184, 93, 283, 532, 810, 936, 578, 769, 143, 170, 534, 51, 622, 709, 165, 898, 80, 18, 773, 99, 953, 985, 685, 872, 237, 980, 560, 906, 944, 201},
{256, 267, 102, 291, 853, 671, 680, 384, 818, 826, 411, 332, 270, 762, 133, 924, 976, 176, 188, 320, 3, 810, 364, 732, 905, 803, 93, 682, 6, 763, 895, 733, 515, 38, 591, 712, 265, 293, 378, 867, 347, 32, 726, 266, 240, 154, 960, 17, 895, 967, 498, 587, 806, 364, 8, 538, 317, 986, 134, 534, 285, 319, 45, 328, 741, 579, 756, 775, 391, 197, 100, 594, 619, 415, 234, 743, 174, 282, 807, 765, 846, 865, 217, 414, 295, 54, 948, 198, 589, 693, 635, 188, 217, 163, 294, 633, 40, 659, 189, 444, 136, 662, 918, 553, 551, 21, 579, 569, 739, 92, 365, 872, 853, 178, 513, 488, 131, 295, 309, 655, 323, 936, 756, 26, 485, 77, 619, 753, 491, 145, 737, 634, 286, 55, 954, 566, 274, 676, 486, 290, 208, 336, 299, 343, 600, 5, 918, 612, 1, 866, 67, 693, 431, 859, 748, 503, 925, 578, 688, 243, 340, 702, 527, 860, 608, 682, 808, 606, 141, 3, 596, 165, 362, 746, 496, 96, 253, 563, 970, 990, 337, 385, 112, 861, 771, 375, 414, 737, 59, 715, 726, 359, 438, 744, 231, 146, 199, 903, 232, 351, 980, 677, 550, 382, 659, 448, 544, 847, 523, 766, 109, 753, 299, 38, 540, 668, 22, 56, 811, 352, 879, 111, 622, 553, 937, 635, 590, 173, 80, 481, 57, 995, 603, 947, 318, 520, 640, 635, 479, 224, 987, 41, 817, 735, 985, 564, 216, 10, 809, 263, 219, 561, 891, 255, 304, 222, 231, 137, 184, 685, 51, 191, 375, 310, 554, 392, 782, 268, 593, 482, 770, 141, 654, 408, 28, 504, 918, 490, 562, 858, 99, 546, 336, 518, 394, 52, 343, 702, 149, 112, 452, 143, 783, 675, 959, 950, 118, 934, 577, 387, 463, 318, 561, 419, 784, 808, 753, 637, 760, 605, 622, 194, 811, 271, 747, 899, 17, 610, 824, 520, 394, 471, 962, 625, 177, 555, 945, 18, 575, 108, 164, 931, 11, 44, 156, 661, 950, 675, 998, 254, 292, 696, 356, 191, 713, 510, 624, 750, 509, 290, 459, 885, 244, 375, 935, 984, 947, 779, 755, 868, 708, 560, 166, 709, 230, 800, 761, 372, 364, 759, 890, 791, 633, 528, 192, 650, 539, 186, 691, 574, 771, 993, 948, 440, 483, 686, 10, 250, 486, 237, 276, 171, 552, 828, 955, 5, 4, 890, 478, 331, 436, 207, 85, 30, 715, 77, 831, 688, 378, 447, 424, 672, 146, 714, 598},
{256, 603, 664, 266, 276, 949, 610, 286, 218, 404, 342, 483, 533, 16, 943, 535, 214, 596, 881, 405, 379, 11, 9, 298, 666, 297, 319, 518, 734, 950, 325, 184, 80, 240, 922, 497, 653, 615, 483, 129, 489, 75, 687, 360, 670, 912, 338, 781, 464, 362, 943, 743, 398, 500, 413, 242, 377, 227, 582, 587, 682, 263, 624, 64, 833, 871, 622, 727, 857, 474, 695, 647, 451, 395, 125, 194, 906, 715, 867, 424, 416, 653, 670, 201, 577, 898, 783, 487, 482, 89, 913, 127, 758, 962, 633, 543, 358, 752, 927, 985, 653, 85, 950, 351, 628, 969, 346, 172, 570, 481, 663, 21, 666, 362, 535, 486, 370, 130, 249, 837, 193, 174, 274, 720, 866, 11, 133, 489, 411, 115, 700, 321, 746, 668, 675, 850, 903, 186, 490, 888, 789, 211, 359, 716, 699, 170, 530, 559, 463, 51, 55, 130, 206, 773, 547, 500, 165, 989, 466, 196, 917, 605, 457, 78, 690, 457, 119, 529, 83, 461, 405, 437, 711, 14, 513, 729, 751, 611, 742, 528, 312, 422, 297, 527, 887, 61, 422, 850, 901, 888, 574, 495, 462, 978, 563, 416, 38, 297, 715, 473, 702, 754, 161, 734, 961, 519, 277, 99, 941, 396, 181, 796, 915, 134, 900, 81, 710, 221, 539, 367, 514, 141, 297, 126, 37, 42, 688, 80, 741, 492, 688, 648, 92, 320, 809, 110, 369, 533, 312, 666, 637, 975, 847, 453, 848, 677, 849, 526, 935, 825, 869, 70, 961, 904, 910, 344, 42, 841, 500, 416, 811, 903, 907, 322, 676, 708, 404, 134, 924, 953, 959, 320, 82, 358, 67, 923, 531, 873, 675, 336, 546, 469, 360, 854, 320, 607, 927, 790, 528, 115, 622, 650, 218, 301, 993, 746, 545, 26, 254, 705, 999, 931, 662, 478, 260, 176, 58, 861, 769, 840, 179, 22, 437, 646, 813, 203, 623, 725, 136, 601, 699, 972, 826, 403, 42, 958, 677, 82, 256, 438, 443, 382, 811, 280, 630, 837, 27, 8, 761, 298, 521, 220, 422, 686, 843, 881, 33, 143, 950, 822, 896, 775, 653, 849, 490, 462, 880, 505, 404, 572, 894, 921, 590, 961, 139, 134, 759, 353, 474, 938, 914, 33, 935, 652, 948, 823, 30, 108, 207, 455, 773, 837, 685, 785, 382, 688, 290, 803, 499, 23, 192, 976, 384, 276, 860, 320, 290, 867, 803, 482, 557, 385, 374, 282, 623, 498, 274, 372, 220, 299, 544, 128, 539, 616, 886, 447},
{21, 392, 160, 857, 738, 394, 735, 240, 51, 370, 231, 489, 315, 249, 789, 674, 963, 155, 695, 576, 188, 811, 614, 19, 789, 349, 168, 72, 517, 701, 839, 28, 341, 507, 482, 38, 660, 901, 764, 425, 422, 653, 3, 993, 473, 852, 691, 110, 237, 771, 953, 901, 6, 566, 865, 745, 689, 202, 246, 71, 886, 368, 130, 615, 499, 172, 544, 503, 958, 78, 650, 885, 298, 908, 561, 432, 948, 724, 342, 684, 146, 37, 823, 95, 249, 127, 836, 635, 141, 229, 386, 995, 80, 908, 133, 729, 36, 307, 236, 184, 609, 799, 262, 695, 52, 255, 391, 310, 819, 289, 608, 258, 313, 847, 900, 495, 172, 972, 732, 921, 563, 861, 266, 258, 370, 170, 810, 186, 119, 56, 4, 47, 772, 642, 71, 324, 197, 405, 338, 124, 267, 511, 809, 133, 78, 270, 275, 832, 633, 673, 881, 291, 762, 471, 527, 521, 714, 337, 755, 213, 45, 481, 43, 623, 949, 476, 510, 563, 188, 172, 124, 691, 47, 308, 383, 803, 627, 847, 365, 379, 873, 111, 722, 435, 361, 498, 909, 656, 846, 975, 479, 814, 980, 503, 755, 773, 382, 313, 579, 704, 490, 219, 103, 739, 202, 210, 803, 937, 362, 176, 981, 338, 549, 951, 30, 852, 489, 831, 640, 950, 612, 309, 963, 385, 966, 96, 447, 708, 708, 407, 700, 966, 879, 68, 284, 732, 32, 272, 755, 619, 521, 715, 661, 496, 8, 375, 401, 899, 713, 439, 70, 568, 564, 762, 450, 570, 160, 724, 279, 262, 864, 602, 827, 169, 11, 351, 583, 957, 302, 234, 549, 838, 55, 862, 238, 115, 812, 41, 982, 93, 224, 248, 563, 253, 802, 743, 485, 388, 332, 43, 464, 410, 241, 932, 796, 662, 219, 322, 346, 857, 718, 932, 790, 228, 742, 264, 668, 77, 528, 319, 456, 660, 271, 272, 633, 291, 64, 684, 215, 585, 615, 834, 721, 43, 80, 471, 940, 505, 586, 604, 101, 612, 635, 961, 301, 56, 570, 386, 110, 283, 744, 756, 267, 345, 842, 995, 331, 715, 64, 319, 925, 257, 504, 201, 975, 979, 137, 423, 939, 884, 246, 198, 580, 975, 26, 585, 284, 460, 349, 329, 241, 294, 354, 808, 107, 453, 608, 1, 882, 769, 87, 229, 842, 711, 95, 11, 306, 249, 577, 483, 928, 803, 945, 737, 978, 353, 696, 895, 744, 944, 588, 899, 839, 231, 83, 807, 644, 160, 96, 848, 578, 606, 826, 622, 172, 579, 590},
{587, 145, 601, 132, 426, 854, 997, 855, 991, 463, 138, 752, 228, 162, 110, 617, 924, 608, 917, 268, 184, 506, 59, 133, 206, 908, 255, 480, 375, 392, 182, 40, 651, 732, 281, 500, 962, 84, 117, 627, 623, 943, 295, 316, 817, 404, 651, 957, 818, 250, 277, 886, 948, 512, 963, 523, 231, 950, 823, 84, 312, 801, 145, 343, 516, 815, 49, 6, 829, 258, 152, 704, 190, 79, 192, 485, 714, 896, 591, 947, 401, 789, 974, 831, 408, 151, 960, 988, 198, 10, 960, 106, 746, 312, 261, 491, 526, 593, 453, 494, 148, 397, 111, 881, 403, 540, 683, 561, 942, 46, 772, 608, 967, 154, 318, 443, 144, 315, 711, 350, 378, 504, 558, 291, 267, 489, 606, 70, 754, 924, 347, 494, 15, 262, 945, 115, 629, 527, 441, 501, 911, 904, 595, 772, 602, 992, 399, 285, 230, 284, 1, 963, 172, 105, 717, 744, 770, 852, 904, 999, 939, 770, 659, 612, 352, 956, 727, 581, 645, 527, 542, 646, 80, 90, 7, 451, 745, 758, 492, 174, 713, 949, 543, 403, 486, 120, 946, 279, 749, 412, 138, 539, 680, 902, 419, 194, 12, 784, 75, 985, 646, 330, 297, 678, 859, 956, 743, 460, 17, 26, 696, 456, 335, 305, 34, 396, 367, 136, 629, 2, 831, 468, 415, 528, 879, 846, 21, 221, 115, 356, 832, 125, 498, 291, 336, 838, 784, 12, 814, 288, 276, 73, 833, 539, 500, 169, 445, 10, 875, 902, 725, 157, 559, 652, 85, 886, 435, 85, 749, 468, 658, 948, 993, 692, 242, 839, 938, 397, 919, 585, 248, 222, 942, 699, 593, 667, 506, 174, 585, 82, 222, 473, 732, 215, 431, 224, 98, 360, 181, 509, 549, 905, 360, 105, 880, 343, 849, 249, 622, 363, 518, 749, 73, 716, 564, 311, 926, 949, 16, 990, 898, 908, 143, 591, 892, 217, 187, 611, 623, 518, 82, 116, 41, 353, 756, 495, 568, 998, 230, 641, 968, 452, 937, 488, 564, 19, 634, 236, 695, 639, 778, 817, 511, 177, 530, 326, 649, 360, 342, 206, 915, 2, 675, 959, 797, 380, 553, 26, 564, 408, 481, 257, 710, 307, 799, 113, 730, 38, 656, 304, 564, 664, 605, 103, 541, 152, 316, 964, 359, 843, 973, 409, 420, 20, 763, 353, 862, 465, 224, 189, 734, 959, 397, 961, 65, 955, 399, 935, 52, 467, 464, 672, 147, 400, 593, 536, 646, 108, 596, 144, 245, 956, 761, 921, 148, 95, 353, 316},
{521, 390, 856, 672, 476, 736, 224, 15, 316, 532, 367, 185, 468, 159, 791, 900, 403, 704, 598, 270, 824, 15, 16, 246, 608, 419, 268, 292, 282, 64, 854, 277, 317, 904, 255, 218, 152, 828, 661, 75, 645, 241, 581, 177, 623, 744, 81, 272, 282, 189, 957, 409, 468, 475, 393, 27, 284, 975, 475, 709, 46, 319, 516, 21, 329, 619, 286, 725, 760, 893, 119, 470, 219, 574, 330, 731, 350, 506, 561, 375, 620, 753, 466, 737, 663, 902, 606, 511, 350, 230, 576, 44, 815, 313, 122, 894, 688, 166, 477, 608, 864, 963, 222, 707, 516, 775, 716, 845, 409, 498, 558, 923, 285, 363, 597, 702, 746, 962, 717, 127, 86, 743, 6, 144, 487, 298, 933, 249, 346, 596, 867, 404, 771, 507, 567, 232, 916, 555, 327, 607, 482, 922, 66, 835, 569, 71, 980, 643, 100, 252, 356, 95, 178, 370, 727, 383, 86, 328, 879, 148, 101, 40, 103, 625, 952, 735, 723, 446, 531, 60, 140, 368, 408, 747, 559, 555, 841, 305, 118, 274, 207, 239, 347, 62, 182, 849, 772, 445, 634, 504, 1, 312, 862, 603, 790, 871, 729, 166, 490, 967, 286, 85, 683, 161, 670, 582, 68, 628, 437, 390, 367, 416, 953, 442, 590, 993, 226, 650, 23, 377, 267, 473, 142, 320, 178, 523, 91, 181, 192, 430, 403, 145, 251, 539, 453, 368, 143, 795, 486, 532, 802, 330, 156, 979, 181, 869, 194, 312, 972, 56, 248, 878, 591, 172, 893, 62, 996, 576, 570, 641, 378, 332, 485, 816, 231, 167, 565, 641, 73, 890, 150, 744, 897, 831, 462, 192, 483, 699, 849, 279, 823, 506, 393, 846, 303, 825, 785, 437, 694, 722, 298, 241, 705, 159, 256, 327, 593, 507, 676, 72, 323, 128, 642, 72, 834, 587, 535, 81, 265, 218, 466, 635, 381, 194, 113, 168, 55, 195, 726, 303, 345, 18, 197, 981, 639, 241, 981, 790, 349, 112, 136, 605, 859, 395, 871, 226, 774, 802, 870, 208, 38, 2, 46, 494, 153, 899, 559, 767, 563, 75, 700, 680, 236, 761, 639, 230, 625, 760, 185, 598, 492, 13, 406, 715, 492, 328, 383, 644, 76, 972, 430, 648, 975, 354, 817, 469, 512, 84, 414, 897, 978, 38, 704, 197, 643, 899, 297, 325, 267, 812, 396, 186, 578, 434, 713, 321, 865, 686, 926, 571, 687, 910, 121, 220, 716, 988, 616, 70, 905, 228, 182, 683, 496, 436, 947, 790, 851, 685, 241},
{437, 747, 712, 161, 45, 557, 764, 970, 954, 693, 974, 276, 379, 796, 29, 513, 970, 408, 962, 510, 335, 308, 427, 718, 918, 223, 642, 286, 662, 422, 571, 288, 670, 511, 557, 291, 984, 859, 765, 926, 179, 252, 311, 294, 145, 718, 863, 819, 902, 22, 863, 683, 722, 934, 229, 23, 108, 289, 552, 919, 472, 715, 371, 600, 424, 186, 33, 374, 646, 724, 42, 587, 263, 118, 554, 254, 474, 51, 856, 116, 960, 889, 244, 565, 248, 200, 724, 270, 759, 214, 329, 333, 790, 659, 660, 533, 993, 763, 478, 527, 264, 789, 756, 870, 94, 157, 672, 402, 578, 62, 380, 812, 257, 519, 304, 209, 867, 919, 889, 100, 930, 521, 402, 489, 800, 775, 430, 736, 432, 28, 189, 397, 679, 916, 596, 519, 347, 764, 365, 776, 598, 338, 18, 382, 559, 636, 826, 923, 123, 773, 175, 149, 25, 599, 711, 271, 245, 441, 989, 500, 651, 224, 981, 424, 602, 280, 986, 262, 909, 354, 938, 277, 181, 681, 92, 334, 17, 492, 363, 151, 21, 13, 348, 842, 827, 821, 207, 172, 630, 418, 118, 354, 784, 994, 3, 336, 124, 695, 559, 227, 545, 97, 423, 978, 302, 253, 443, 431, 145, 411, 667, 599, 178, 416, 584, 424, 808, 904, 594, 243, 671, 616, 471, 916, 787, 550, 783, 912, 481, 209, 867, 599, 814, 910, 949, 704, 344, 968, 455, 170, 55, 596, 380, 618, 205, 502, 804, 247, 660, 526, 333, 279, 998, 119, 233, 993, 297, 97, 556, 986, 68, 923, 350, 533, 241, 698, 368, 834, 420, 147, 339, 503, 935, 179, 963, 835, 344, 979, 272, 309, 97, 188, 883, 267, 103, 450, 21, 924, 737, 515, 810, 696, 697, 85, 550, 314, 734, 839, 122, 383, 947, 398, 653, 810, 788, 519, 885, 30, 358, 465, 425, 37, 891, 332, 204, 75, 535, 99, 35, 188, 679, 286, 101, 993, 118, 415, 579, 769, 260, 927, 370, 308, 478, 780, 90, 126, 401, 761, 55, 264, 668, 432, 975, 323, 176, 700, 494, 394, 362, 286, 463, 240, 440, 665, 112, 400, 768, 694, 832, 929, 752, 759, 358, 83, 766, 183, 501, 607, 587, 633, 505, 267, 740, 425, 246, 813, 981, 954, 200, 933, 862, 984, 138, 621, 947, 115, 960, 7, 800, 595, 956, 939, 287, 576, 39, 511, 101, 982, 172, 264, 662, 497, 331, 59, 723, 515, 760, 442, 35, 537, 253, 861, 476, 196, 434, 304, 838, 975, 762, 733},
{334, 764, 64, 220, 502, 550, 947, 798, 875, 931, 356, 927, 179, 654, 869, 834, 336, 8, 85, 217, 801, 785, 571, 495, 8, 461, 427, 287, 824, 394, 437, 833, 971, 157, 198, 874, 264, 525, 323, 863, 417, 307, 50, 478, 904, 893, 138, 93, 9, 403, 920, 257, 778, 298, 806, 248, 75, 640, 292, 446, 289, 504, 770, 644, 566, 615, 52, 358, 586, 7, 478, 909, 59, 304, 23, 314, 55, 296, 518, 14, 266, 599, 443, 79, 38, 545, 340, 818, 807, 928, 958, 636, 151, 847, 722, 597, 223, 711, 929, 383, 800, 400, 423, 241, 465, 683, 93, 81, 776, 285, 686, 93, 364, 355, 891, 131, 25, 739, 528, 633, 800, 126, 19, 35, 965, 53, 985, 472, 575, 819, 967, 83, 972, 498, 738, 332, 212, 667, 657, 638, 875, 928, 804, 17, 186, 996, 412, 582, 596, 942, 205, 543, 313, 159, 870, 743, 286, 765, 796, 896, 286, 454, 596, 418, 576, 226, 695, 140, 602, 82, 471, 292, 802, 490, 952, 798, 369, 374, 150, 355, 319, 435, 422, 756, 715, 853, 131, 635, 267, 819, 997, 110, 816, 854, 256, 845, 407, 623, 628, 678, 752, 754, 674, 260, 879, 232, 808, 150, 701, 72, 583, 414, 11, 329, 452, 42, 196, 952, 283, 455, 521, 666, 341, 956, 437, 813, 365, 222, 753, 88, 557, 828, 906, 161, 72, 398, 786, 465, 589, 118, 752, 863, 123, 302, 536, 430, 33, 164, 704, 387, 582, 167, 225, 54, 54, 155, 493, 762, 535, 971, 816, 865, 61, 413, 22, 317, 656, 178, 288, 854, 234, 961, 766, 423, 948, 924, 849, 356, 860, 579, 156, 795, 210, 551, 478, 948, 641, 788, 911, 108, 36, 492, 377, 783, 394, 505, 586, 929, 397, 903, 218, 965, 832, 282, 797, 280, 98, 587, 288, 896, 346, 374, 882, 298, 674, 58, 907, 717, 954, 71, 967, 806, 510, 818, 716, 249, 868, 6, 696, 784, 256, 192, 709, 70, 320, 404, 97, 30, 812, 282, 118, 631, 603, 463, 329, 513, 464, 899, 522, 550, 493, 344, 299, 205, 942, 531, 784, 480, 466, 453, 384, 401, 475, 690, 677, 196, 403, 3, 751, 792, 123, 221, 328, 790, 702, 28, 5, 828, 956, 403, 825, 138, 968, 337, 163, 122, 873, 923, 616, 999, 715, 94, 189, 918, 102, 56, 548, 429, 748, 987, 569, 915, 693, 627, 670, 373, 161, 209, 687, 926, 562, 610, 164, 601, 111, 671, 956, 177, 864, 406, 8},
{372, 812, 198, 985, 249, 766, 174, 245, 468, 416, 628, 224, 938, 913, 766, 959, 508, 696, 50, 866, 546, 138, 120, 340, 664, 731, 611, 973, 379, 214, 171, 427, 194, 995, 630, 58, 469, 709, 635, 412, 422, 546, 937, 633, 796, 234, 234, 611, 71, 222, 687, 452, 512, 631, 194, 467, 84, 30, 75, 417, 954, 925, 102, 188, 334, 162, 663, 424, 466, 66, 458, 904, 862, 289, 299, 604, 280, 763, 494, 442, 543, 89, 798, 715, 998, 990, 102, 71, 325, 157, 882, 666, 435, 921, 937, 865, 421, 745, 48, 412, 833, 384, 63, 514, 128, 994, 349, 714, 743, 105, 662, 705, 136, 591, 287, 496, 55, 314, 719, 454, 486, 19, 267, 786, 985, 510, 681, 970, 582, 833, 328, 486, 17, 414, 493, 952, 875, 643, 105, 457, 60, 448, 543, 395, 142, 708, 230, 651, 372, 257, 378, 296, 481, 343, 626, 291, 992, 97, 261, 862, 435, 545, 411, 319, 708, 127, 894, 83, 878, 534, 346, 621, 832, 910, 915, 781, 561, 100, 67, 752, 305, 679, 965, 514, 459, 980, 528, 158, 891, 159, 440, 921, 326, 648, 382, 120, 495, 1, 231, 400, 84, 214, 242, 935, 854, 129, 70, 208, 957, 359, 46, 40, 145, 556, 271, 366, 487, 474, 964, 87, 255, 453, 981, 967, 815, 432, 572, 209, 750, 542, 267, 765, 908, 669, 235, 951, 809, 98, 595, 138, 578, 504, 913, 618, 636, 124, 584, 808, 473, 859, 858, 16, 121, 485, 59, 928, 425, 830, 879, 840, 781, 71, 781, 384, 796, 754, 167, 185, 238, 263, 411, 443, 712, 728, 857, 911, 748, 288, 546, 104, 344, 732, 818, 883, 581, 225, 913, 757, 620, 796, 331, 282, 227, 742, 52, 39, 15, 879, 661, 499, 737, 861, 60, 952, 310, 397, 699, 361, 697, 278, 247, 674, 473, 551, 140, 641, 609, 72, 767, 606, 51, 917, 902, 135, 699, 831, 568, 569, 711, 944, 753, 748, 429, 509, 236, 243, 845, 292, 337, 374, 217, 544, 574, 214, 356, 201, 66, 515, 146, 73, 987, 239, 42, 296, 586, 914, 680, 257, 14, 607, 211, 521, 767, 660, 658, 48, 579, 685, 430, 113, 436, 527, 75, 916, 811, 36, 537, 802, 287, 519, 431, 385, 494, 706, 332, 664, 707, 869, 669, 361, 486, 556, 572, 293, 451, 976, 956, 629, 704, 737, 178, 220, 375, 15, 849, 8, 487, 688, 787, 770, 699, 220, 590, 992, 419, 259, 65, 761, 494, 65, 575, 936},
{967, 819, 385, 734, 349, 838, 248, 64, 492, 487, 817, 633, 432, 348, 943, 863, 472, 805, 530, 124, 407, 744, 462, 675, 24, 520, 23, 951, 890, 697, 366, 509, 56, 288, 825, 49, 438, 427, 307, 403, 622, 448, 561, 282, 236, 308, 862, 866, 329, 215, 519, 46, 979, 48, 684, 219, 854, 906, 123, 99, 628, 680, 961, 859, 929, 67, 955, 350, 7, 851, 470, 784, 361, 602, 214, 496, 450, 143, 726, 893, 914, 294, 762, 691, 953, 425, 28, 886, 157, 289, 151, 687, 539, 461, 379, 807, 581, 457, 275, 103, 780, 280, 587, 524, 598, 696, 541, 757, 718, 22, 49, 713, 220, 577, 702, 252, 592, 270, 978, 132, 534, 922, 753, 197, 128, 103, 129, 237, 281, 191, 526, 798, 308, 338, 237, 455, 130, 781, 879, 697, 858, 729, 748, 645, 477, 613, 642, 258, 885, 95, 568, 563, 861, 606, 677, 720, 386, 603, 860, 375, 307, 909, 740, 896, 586, 735, 178, 516, 198, 11, 7, 338, 304, 622, 430, 456, 505, 70, 419, 142, 806, 783, 461, 164, 446, 107, 255, 837, 861, 476, 258, 322, 917, 894, 544, 9, 942, 164, 62, 599, 277, 680, 248, 598, 795, 826, 895, 522, 306, 88, 336, 52, 819, 114, 286, 753, 434, 825, 150, 739, 972, 570, 188, 825, 572, 52, 709, 330, 163, 425, 389, 632, 106, 528, 849, 34, 323, 684, 919, 223, 915, 894, 335, 901, 629, 514, 217, 705, 481, 718, 341, 596, 579, 150, 87, 314, 409, 142, 955, 325, 874, 827, 717, 927, 977, 271, 585, 836, 318, 462, 268, 602, 505, 654, 425, 689, 190, 78, 809, 915, 652, 466, 364, 184, 798, 218, 618, 171, 967, 259, 999, 662, 173, 816, 119, 764, 275, 405, 623, 82, 100, 292, 970, 266, 724, 576, 357, 53, 959, 827, 80, 12, 591, 888, 800, 752, 71, 89, 557, 265, 158, 567, 860, 401, 503, 866, 890, 239, 255, 246, 643, 226, 563, 379, 838, 541, 303, 273, 555, 81, 404, 224, 842, 827, 930, 621, 16, 150, 480, 219, 944, 728, 491, 277, 410, 423, 790, 619, 508, 348, 86, 223, 195, 852, 121, 448, 238, 873, 900, 363, 289, 368, 750, 932, 290, 110, 946, 25, 150, 193, 320, 277, 477, 985, 548, 882, 172, 119, 816, 266, 838, 333, 136, 425, 317, 667, 898, 444, 108, 483, 200, 331, 103, 332, 996, 834, 827, 490, 480, 362, 357, 292, 909, 470, 154, 30, 706, 634, 379, 318, 856, 193, 596},
{270, 504, 392, 401, 751, 179, 482, 232, 270, 265, 633, 489, 766, 160, 290, 154, 701, 89, 214, 292, 321, 662, 123, 173, 953, 111, 282, 270, 483, 550, 860, 49, 910, 811, 162, 303, 52, 88, 48, 760, 961, 129, 52, 820, 655, 787, 647, 597, 37, 462, 147, 853, 737, 405, 497, 78, 723, 897, 44, 643, 133, 38, 950, 978, 773, 234, 560, 709, 133, 540, 450, 976, 524, 650, 304, 524, 228, 708, 14, 694, 73, 87, 633, 171, 958, 941, 870, 150, 215, 671, 848, 658, 536, 339, 744, 888, 483, 790, 749, 752, 169, 435, 518, 322, 809, 609, 897, 505, 274, 39, 259, 30, 633, 147, 221, 843, 983, 873, 860, 56, 483, 225, 810, 887, 640, 980, 767, 462, 363, 877, 18, 870, 198, 94, 550, 664, 460, 56, 236, 827, 696, 438, 285, 313, 2, 697, 952, 430, 259, 665, 999, 743, 297, 514, 961, 619, 261, 878, 675, 268, 277, 57, 826, 927, 611, 952, 520, 816, 64, 906, 976, 641, 328, 610, 532, 711, 391, 66, 32, 189, 810, 962, 562, 587, 914, 881, 236, 407, 509, 467, 387, 722, 716, 89, 104, 574, 907, 508, 521, 311, 555, 799, 638, 356, 985, 64, 749, 440, 658, 518, 744, 67, 606, 161, 636, 781, 110, 531, 700, 874, 486, 79, 481, 292, 144, 223, 786, 861, 683, 508, 468, 419, 871, 185, 453, 69, 782, 113, 1, 585, 269, 171, 627, 935, 185, 218, 453, 987, 457, 250, 31, 762, 207, 574, 824, 957, 583, 730, 614, 107, 885, 393, 50, 417, 852, 679, 477, 242, 686, 134, 931, 196, 517, 146, 886, 86, 525, 730, 957, 233, 853, 384, 252, 236, 794, 221, 468, 917, 461, 690, 177, 10, 305, 987, 926, 114, 398, 664, 947, 631, 330, 70, 279, 612, 983, 989, 68, 965, 167, 241, 638, 49, 299, 60, 712, 433, 907, 824, 777, 548, 695, 29, 205, 10, 326, 447, 181, 616, 865, 130, 883, 457, 71, 185, 636, 48, 260, 329, 971, 165, 586, 811, 598, 872, 924, 658, 319, 266, 428, 111, 824, 611, 42, 802, 115, 908, 919, 447, 21, 353, 730, 779, 947, 836, 300, 71, 465, 425, 909, 783, 828, 659, 814, 841, 882, 689, 273, 539, 18, 475, 397, 349, 27, 711, 675, 734, 800, 730, 895, 623, 722, 340, 482, 374, 552, 459, 3, 897, 356, 458, 684, 128, 710, 298, 313, 130, 55, 929, 823, 17, 523, 929, 195, 240, 30, 4, 41, 3, 683, 834, 398, 271, 838, 707},
{785, 333, 214, 512, 566, 925, 546, 985, 990, 700, 207, 545, 93, 199, 19, 615, 771, 577, 304, 180, 980, 39, 848, 156, 936, 274, 999, 284, 648, 278, 646, 467, 875, 581, 158, 856, 840, 254, 677, 552, 606, 69, 340, 464, 88, 855, 95, 750, 58, 361, 812, 256, 374, 940, 256, 547, 860, 990, 348, 455, 947, 327, 843, 530, 217, 651, 181, 458, 448, 826, 809, 243, 645, 934, 731, 961, 777, 14, 350, 973, 647, 876, 962, 726, 390, 703, 416, 739, 595, 906, 481, 904, 921, 330, 503, 983, 404, 28, 752, 61, 343, 690, 686, 765, 772, 302, 28, 275, 58, 759, 163, 449, 54, 983, 867, 991, 624, 537, 778, 172, 56, 875, 354, 485, 18, 125, 273, 605, 318, 746, 372, 111, 620, 496, 245, 784, 671, 880, 563, 710, 364, 667, 61, 12, 122, 109, 816, 840, 687, 226, 209, 127, 373, 883, 411, 706, 251, 417, 822, 638, 525, 246, 178, 940, 578, 258, 378, 503, 759, 755, 283, 633, 42, 371, 785, 567, 56, 726, 509, 254, 888, 510, 382, 938, 242, 338, 138, 351, 204, 970, 549, 808, 933, 463, 799, 190, 21, 353, 949, 496, 154, 290, 906, 710, 970, 378, 621, 730, 692, 75, 534, 450, 171, 719, 416, 445, 505, 602, 847, 337, 271, 53, 522, 598, 694, 185, 468, 484, 827, 778, 57, 795, 885, 293, 355, 393, 435, 135, 974, 729, 38, 136, 102, 193, 298, 647, 763, 701, 1, 781, 731, 835, 158, 123, 685, 763, 359, 643, 370, 362, 753, 659, 541, 220, 368, 427, 412, 660, 246, 352, 193, 542, 37, 856, 29, 340, 285, 684, 346, 936, 646, 760, 149, 632, 625, 779, 310, 106, 277, 366, 257, 450, 494, 997, 750, 957, 113, 870, 647, 9, 117, 563, 642, 299, 607, 620, 963, 645, 85, 198, 942, 759, 786, 489, 170, 743, 489, 948, 690, 494, 253, 277, 298, 893, 993, 682, 554, 405, 692, 229, 584, 689, 278, 948, 35, 924, 917, 975, 871, 810, 523, 163, 828, 620, 776, 517, 376, 278, 867, 329, 98, 134, 450, 41, 187, 27, 6, 742, 607, 241, 957, 692, 119, 198, 356, 396, 998, 36, 912, 605, 767, 788, 482, 38, 663, 514, 830, 782, 896, 553, 676, 82, 976, 88, 540, 663, 502, 306, 900, 850, 856, 768, 506, 454, 188, 15, 494, 827, 908, 82, 95, 550, 693, 333, 335, 897, 626, 944, 107, 645, 706, 460, 375, 775, 400, 45, 112, 342, 310, 484, 725, 80, 311, 491, 394},
{365, 691, 594, 719, 756, 959, 748, 549, 687, 952, 800, 632, 814, 805, 126, 51, 176, 169, 74, 967, 577, 764, 344, 319, 562, 22, 37, 516, 907, 48, 950, 103, 847, 655, 602, 573, 113, 490, 596, 225, 449, 591, 204, 33, 485, 836, 444, 986, 689, 830, 523, 248, 694, 743, 242, 787, 446, 498, 838, 853, 470, 481, 805, 758, 57, 656, 405, 975, 305, 559, 957, 463, 797, 128, 513, 494, 113, 787, 168, 955, 533, 465, 102, 294, 68, 489, 436, 766, 352, 413, 90, 675, 69, 869, 170, 593, 290, 489, 813, 350, 542, 769, 85, 773, 449, 537, 206, 699, 534, 299, 398, 810, 121, 366, 630, 220, 315, 76, 831, 532, 724, 848, 498, 336, 923, 82, 189, 662, 651, 83, 66, 998, 397, 347, 543, 862, 349, 478, 71, 748, 605, 970, 286, 552, 223, 891, 77, 169, 920, 208, 564, 45, 189, 163, 696, 914, 180, 609, 878, 810, 958, 672, 72, 720, 628, 460, 858, 914, 392, 780, 258, 89, 822, 2, 484, 922, 497, 259, 413, 562, 680, 166, 273, 843, 903, 89, 927, 772, 160, 826, 207, 889, 907, 218, 898, 683, 243, 800, 410, 118, 400, 171, 583, 703, 210, 73, 855, 248, 278, 588, 737, 597, 393, 6, 615, 210, 157, 93, 967, 370, 869, 509, 423, 221, 480, 73, 512, 548, 814, 405, 577, 444, 340, 259, 78, 541, 448, 489, 434, 524, 612, 195, 631, 991, 801, 15, 41, 561, 218, 982, 302, 318, 757, 588, 647, 312, 610, 901, 766, 840, 56, 730, 136, 674, 805, 763, 787, 204, 250, 566, 631, 763, 546, 134, 779, 983, 789, 402, 813, 114, 431, 763, 553, 692, 710, 171, 696, 823, 90, 849, 640, 572, 628, 981, 903, 680, 732, 999, 831, 880, 993, 267, 693, 579, 659, 998, 829, 576, 816, 260, 278, 777, 569, 741, 160, 592, 317, 799, 173, 786, 733, 963, 730, 112, 216, 684, 633, 951, 377, 607, 698, 532, 603, 90, 411, 34, 852, 954, 510, 36, 616, 755, 383, 315, 429, 883, 298, 949, 369, 962, 795, 63, 786, 858, 987, 311, 838, 510, 162, 374, 539, 532, 797, 327, 675, 206, 76, 721, 383, 46, 992, 639, 140, 584, 450, 742, 680, 422, 64, 587, 616, 862, 978, 68, 589, 638, 707, 870, 422, 355, 803, 257, 36, 257, 266, 321, 864, 850, 687, 117, 151, 728, 505, 671, 741, 671, 199, 981, 967, 713, 895, 531, 769, 423, 675, 731, 486, 61, 768, 969, 614, 659, 994, 612, 423, 286},
{16, 399, 505, 953, 416, 160, 236, 669, 201, 669, 628, 118, 8, 768, 254, 341, 254, 569, 761, 555, 448, 714, 988, 963, 124, 132, 851, 987, 193, 684, 971, 873, 36, 454, 498, 35, 305, 100, 683, 789, 265, 924, 546, 406, 446, 798, 422, 474, 547, 59, 243, 670, 810, 876, 184, 927, 535, 349, 677, 850, 18, 726, 889, 5, 946, 823, 440, 335, 233, 584, 538, 560, 288, 224, 728, 847, 37, 139, 124, 475, 307, 988, 348, 439, 807, 990, 398, 195, 571, 454, 311, 782, 649, 28, 796, 631, 800, 974, 997, 211, 119, 3, 134, 540, 870, 852, 83, 279, 277, 873, 878, 751, 617, 287, 688, 808, 847, 708, 106, 843, 836, 744, 462, 665, 475, 197, 447, 148, 131, 438, 545, 764, 381, 74, 628, 179, 497, 836, 639, 21, 915, 14, 419, 869, 789, 384, 617, 261, 785, 776, 94, 202, 467, 851, 399, 305, 979, 682, 704, 126, 258, 992, 38, 736, 645, 689, 787, 852, 640, 442, 235, 71, 464, 644, 294, 903, 289, 18, 726, 330, 260, 503, 866, 520, 869, 862, 267, 255, 897, 559, 763, 297, 838, 101, 147, 644, 706, 2, 24, 162, 136, 921, 464, 556, 974, 334, 712, 47, 914, 292, 609, 361, 269, 472, 316, 884, 707, 695, 657, 891, 602, 551, 624, 780, 667, 590, 634, 166, 726, 768, 682, 475, 786, 513, 865, 435, 58, 784, 648, 466, 221, 994, 857, 525, 9, 511, 625, 394, 142, 717, 418, 740, 757, 313, 817, 566, 731, 592, 987, 780, 705, 940, 576, 722, 233, 684, 369, 444, 151, 733, 183, 408, 199, 149, 321, 82, 954, 905, 433, 572, 322, 621, 729, 52, 209, 955, 377, 249, 507, 726, 298, 654, 179, 504, 772, 440, 69, 630, 982, 302, 43, 109, 106, 558, 202, 823, 614, 890, 195, 864, 243, 39, 123, 543, 416, 623, 129, 826, 62, 4, 516, 528, 387, 780, 181, 571, 627, 64, 198, 23, 740, 157, 642, 435, 764, 643, 121, 197, 865, 173, 12, 237, 87, 432, 135, 437, 517, 878, 415, 536, 831, 824, 126, 145, 193, 365, 452, 719, 76, 471, 455, 4, 889, 288, 996, 481, 165, 292, 811, 864, 724, 528, 717, 480, 436, 570, 902, 697, 102, 191, 335, 240, 572, 999, 601, 260, 392, 464, 895, 586, 164, 779, 469, 436, 336, 55, 566, 168, 313, 136, 773, 397, 620, 194, 734, 868, 359, 877, 416, 29, 337, 455, 421, 162, 65, 846, 406, 282, 289, 874, 288, 705, 837, 386, 775, 397, 339},
{98, 742, 718, 820, 173, 72, 151, 261, 558, 929, 967, 935, 49, 847, 569, 804, 920, 615, 377, 212, 692, 755, 781, 937, 269, 232, 599, 976, 264, 180, 930, 448, 788, 616, 66, 751, 369, 521, 327, 392, 924, 199, 344, 919, 971, 541, 263, 73, 258, 666, 836, 511, 106, 415, 169, 525, 583, 372, 122, 683, 505, 376, 38, 699, 931, 5, 500, 718, 514, 105, 284, 799, 523, 295, 536, 644, 891, 255, 483, 505, 890, 773, 648, 779, 377, 758, 637, 2, 656, 844, 47, 814, 116, 807, 927, 55, 711, 715, 577, 234, 331, 658, 93, 567, 772, 918, 265, 189, 834, 646, 900, 336, 565, 483, 603, 126, 250, 62, 341, 957, 116, 993, 909, 773, 58, 780, 514, 99, 895, 70, 270, 308, 832, 790, 350, 579, 794, 44, 900, 786, 274, 14, 608, 985, 181, 836, 956, 172, 905, 63, 831, 759, 518, 321, 99, 540, 546, 832, 165, 976, 281, 674, 372, 298, 924, 65, 234, 274, 174, 503, 185, 489, 51, 284, 495, 623, 861, 759, 452, 533, 191, 756, 743, 921, 731, 700, 195, 963, 588, 342, 693, 589, 401, 438, 148, 4, 266, 421, 817, 651, 975, 826, 187, 73, 539, 255, 863, 990, 283, 713, 605, 536, 101, 448, 727, 742, 579, 833, 563, 291, 783, 395, 609, 36, 467, 847, 244, 22, 370, 858, 626, 529, 4, 313, 527, 205, 72, 81, 304, 466, 246, 587, 227, 193, 511, 61, 635, 184, 726, 955, 194, 958, 361, 899, 617, 302, 577, 484, 831, 338, 969, 357, 449, 44, 314, 375, 837, 850, 601, 13, 820, 382, 504, 845, 205, 428, 158, 677, 957, 995, 812, 797, 791, 627, 480, 949, 359, 209, 158, 792, 20, 181, 613, 57, 394, 405, 979, 114, 483, 936, 626, 390, 194, 593, 837, 923, 529, 547, 869, 351, 500, 102, 845, 791, 120, 468, 768, 437, 414, 600, 673, 107, 504, 118, 529, 685, 205, 908, 102, 156, 520, 262, 354, 876, 614, 295, 376, 870, 575, 965, 50, 152, 330, 228, 834, 529, 587, 697, 121, 922, 548, 787, 566, 918, 467, 405, 729, 232, 813, 180, 73, 735, 921, 657, 125, 952, 546, 86, 180, 248, 626, 181, 407, 470, 948, 780, 682, 470, 91, 365, 737, 739, 205, 240, 466, 394, 740, 584, 365, 875, 152, 686, 88, 28, 33, 400, 78, 652, 850, 292, 59, 273, 657, 991, 937, 568, 735, 976, 320, 899, 108, 388, 423, 368, 259, 528, 634, 150, 197, 333, 333, 163, 215, 492, 907, 729, 296, 869},
{68, 552, 161, 529, 651, 214, 358, 978, 155, 384, 625, 225, 93, 136, 35, 839, 131, 44, 8, 520, 667, 270, 414, 562, 136, 433, 365, 258, 875, 894, 209, 465, 839, 14, 504, 524, 747, 39, 415, 222, 573, 578, 50, 755, 402, 989, 776, 482, 752, 624, 422, 815, 444, 578, 571, 768, 981, 495, 896, 502, 174, 19, 547, 761, 446, 668, 170, 177, 866, 308, 41, 280, 438, 839, 117, 498, 592, 472, 593, 555, 163, 702, 643, 447, 328, 158, 605, 624, 148, 558, 839, 101, 340, 367, 824, 921, 910, 162, 835, 882, 80, 321, 745, 407, 708, 438, 46, 216, 86, 750, 185, 813, 518, 969, 727, 813, 618, 123, 610, 837, 583, 400, 26, 46, 29, 562, 14, 360, 154, 136, 936, 99, 87, 508, 375, 34, 285, 21, 854, 880, 771, 360, 35, 809, 795, 834, 644, 882, 247, 635, 499, 241, 762, 801, 392, 447, 25, 414, 506, 652, 160, 478, 289, 159, 540, 84, 381, 486, 497, 670, 293, 305, 644, 657, 999, 429, 588, 280, 525, 624, 730, 181, 898, 147, 800, 222, 546, 790, 504, 5, 335, 695, 393, 800, 962, 343, 623, 934, 353, 958, 829, 202, 27, 21, 693, 532, 152, 682, 152, 984, 159, 707, 373, 87, 304, 940, 798, 721, 570, 439, 552, 22, 634, 119, 470, 186, 401, 196, 869, 769, 797, 743, 905, 717, 70, 414, 36, 365, 869, 736, 692, 681, 739, 441, 710, 290, 488, 933, 460, 144, 86, 391, 916, 338, 359, 947, 77, 174, 797, 91, 245, 512, 163, 696, 720, 408, 476, 96, 308, 231, 175, 201, 918, 777, 859, 969, 216, 363, 148, 462, 939, 538, 557, 284, 31, 848, 251, 511, 139, 1, 711, 50, 467, 947, 121, 966, 118, 601, 267, 542, 302, 365, 330, 666, 826, 212, 765, 711, 247, 779, 810, 230, 956, 839, 859, 647, 267, 551, 50, 608, 239, 91, 945, 810, 584, 620, 95, 966, 527, 68, 616, 966, 852, 862, 673, 489, 753, 575, 846, 51, 249, 437, 988, 915, 143, 791, 79, 412, 458, 881, 965, 911, 287, 791, 662, 144, 799, 974, 34, 599, 939, 572, 292, 452, 977, 642, 713, 827, 662, 472, 385, 284, 202, 429, 578, 13, 659, 128, 579, 660, 652, 294, 390, 635, 438, 367, 764, 418, 544, 754, 448, 728, 145, 673, 330, 332, 261, 652, 466, 928, 692, 135, 554, 811, 320, 62, 519, 934, 43, 995, 309, 633, 132, 96, 863, 443, 263, 233, 509, 422, 805, 647, 680, 901, 208, 775, 979, 819, 496},
{331, 51, 662, 949, 287, 664, 574, 8, 127, 692, 362, 319, 634, 359, 986, 669, 527, 290, 610, 166, 451, 382, 428, 702, 181, 439, 329, 203, 432, 878, 887, 568, 308, 524, 311, 553, 260, 661, 754, 52, 421, 77, 836, 358, 298, 775, 292, 49, 103, 407, 433, 53, 463, 223, 511, 305, 864, 573, 103, 194, 897, 495, 398, 595, 370, 979, 602, 927, 356, 868, 713, 79, 519, 150, 618, 475, 440, 619, 796, 821, 182, 494, 893, 251, 86, 594, 115, 719, 591, 105, 669, 467, 927, 808, 482, 317, 666, 879, 997, 346, 462, 991, 182, 251, 792, 544, 774, 297, 133, 271, 423, 320, 814, 347, 565, 680, 742, 403, 870, 403, 276, 501, 558, 13, 829, 243, 171, 726, 162, 652, 226, 726, 914, 359, 707, 218, 676, 947, 537, 858, 747, 995, 30, 923, 815, 486, 780, 268, 960, 775, 664, 745, 759, 209, 351, 252, 770, 855, 272, 964, 355, 529, 73, 673, 614, 424, 344, 315, 198, 260, 896, 966, 878, 750, 909, 569, 99, 627, 37, 620, 105, 177, 954, 893, 945, 430, 907, 26, 320, 768, 506, 456, 226, 637, 414, 775, 389, 508, 595, 19, 739, 991, 448, 801, 526, 243, 551, 512, 265, 395, 659, 940, 370, 783, 336, 824, 201, 150, 838, 819, 261, 853, 878, 292, 449, 342, 503, 144, 609, 799, 604, 639, 64, 922, 499, 775, 515, 245, 637, 343, 430, 290, 712, 199, 19, 108, 363, 671, 2, 417, 230, 250, 632, 669, 316, 874, 853, 832, 507, 211, 51, 600, 601, 276, 582, 2, 407, 640, 177, 146, 308, 247, 309, 902, 163, 550, 869, 866, 613, 301, 824, 868, 614, 792, 39, 640, 542, 801, 126, 968, 291, 772, 12, 822, 589, 18, 875, 499, 187, 842, 277, 765, 654, 518, 550, 382, 287, 4, 39, 105, 4, 135, 297, 511, 198, 764, 199, 498, 211, 4, 771, 365, 459, 280, 674, 738, 294, 391, 466, 415, 355, 128, 186, 417, 485, 320, 318, 148, 333, 342, 928, 569, 361, 229, 590, 749, 333, 556, 746, 961, 283, 133, 320, 740, 632, 388, 719, 971, 349, 59, 835, 127, 28, 401, 313, 210, 323, 703, 126, 860, 434, 288, 467, 325, 241, 593, 66, 661, 239, 114, 282, 672, 658, 201, 788, 500, 995, 746, 193, 752, 743, 774, 697, 298, 274, 831, 778, 613, 663, 861, 915, 635, 767, 928, 594, 636, 986, 773, 169, 531, 980, 667, 676, 380, 55, 464, 382, 583, 73, 43, 616, 405, 510, 580, 516, 26, 707, 208, 342, 265},
{478, 650, 399, 505, 966, 378, 6, 81, 59, 670, 575, 622, 686, 716, 623, 376, 136, 565, 458, 548, 771, 300, 356, 104, 673, 257, 281, 249, 342, 546, 579, 33, 970, 345, 631, 140, 783, 701, 140, 924, 590, 620, 590, 212, 28, 258, 438, 180, 896, 918, 732, 918, 663, 415, 231, 864, 434, 26, 519, 398, 686, 945, 307, 320, 583, 656, 849, 813, 994, 79, 415, 746, 214, 716, 787, 861, 937, 270, 109, 470, 288, 346, 734, 769, 523, 958, 384, 794, 620, 495, 577, 303, 93, 695, 263, 628, 246, 993, 556, 614, 569, 230, 723, 305, 123, 383, 909, 953, 589, 442, 603, 273, 100, 969, 520, 571, 116, 216, 390, 585, 372, 864, 130, 342, 357, 632, 32, 366, 888, 974, 848, 916, 75, 80, 168, 664, 393, 207, 11, 464, 612, 158, 416, 394, 86, 346, 626, 280, 229, 480, 624, 268, 90, 373, 960, 844, 567, 743, 219, 909, 189, 190, 5, 94, 343, 676, 48, 567, 545, 6, 855, 991, 576, 725, 371, 106, 352, 852, 278, 677, 962, 597, 875, 200, 622, 999, 974, 749, 201, 28, 879, 907, 583, 216, 314, 482, 376, 363, 107, 53, 368, 156, 559, 40, 705, 857, 675, 79, 978, 330, 851, 961, 262, 762, 210, 320, 712, 414, 474, 504, 474, 596, 198, 848, 517, 876, 164, 602, 509, 194, 13, 331, 979, 170, 490, 538, 857, 406, 220, 567, 903, 964, 578, 589, 708, 557, 84, 642, 687, 175, 676, 220, 941, 36, 408, 864, 954, 757, 368, 619, 825, 606, 103, 906, 152, 518, 409, 629, 745, 341, 128, 845, 52, 430, 500, 363, 549, 253, 712, 5, 400, 184, 486, 74, 343, 9, 976, 791, 129, 965, 753, 63, 812, 337, 370, 948, 870, 705, 866, 690, 411, 984, 563, 890, 717, 274, 687, 778, 989, 346, 678, 62, 426, 381, 512, 961, 703, 116, 24, 481, 546, 148, 991, 787, 274, 593, 706, 912, 158, 595, 850, 613, 949, 490, 775, 318, 187, 553, 684, 609, 725, 356, 800, 537, 500, 699, 344, 406, 681, 994, 7, 358, 248, 746, 682, 196, 495, 469, 386, 413, 138, 989, 680, 334, 482, 572, 408, 565, 626, 725, 227, 749, 730, 870, 247, 718, 215, 261, 68, 702, 167, 684, 641, 232, 307, 516, 684, 699, 647, 616, 808, 347, 352, 446, 151, 611, 381, 492, 45, 326, 210, 784, 197, 307, 291, 836, 897, 204, 956, 830, 36, 328, 132, 228, 79, 353, 590, 286, 703, 434, 455, 163, 490, 264, 333, 360, 929, 54, 741, 288, 12},
{237, 494, 647, 827, 939, 295, 105, 958, 899, 102, 515, 893, 590, 726, 526, 337, 726, 756, 973, 119, 230, 104, 883, 296, 987, 413, 286, 204, 397, 106, 255, 434, 810, 56, 795, 166, 450, 767, 227, 831, 268, 460, 712, 841, 537, 629, 451, 971, 667, 516, 843, 71, 822, 400, 615, 937, 490, 798, 515, 572, 35, 438, 676, 534, 620, 364, 158, 780, 626, 651, 493, 220, 820, 962, 311, 163, 105, 645, 196, 7, 616, 133, 25, 792, 323, 188, 928, 704, 15, 883, 899, 193, 795, 346, 808, 181, 733, 918, 252, 715, 329, 852, 234, 500, 871, 609, 145, 990, 519, 553, 884, 111, 192, 184, 270, 195, 928, 4, 46, 461, 443, 820, 926, 178, 972, 557, 107, 697, 399, 621, 570, 702, 835, 520, 357, 331, 529, 657, 686, 328, 958, 209, 426, 22, 504, 556, 969, 693, 894, 991, 10, 878, 923, 333, 45, 240, 599, 639, 713, 907, 978, 412, 217, 617, 432, 581, 146, 520, 947, 65, 5, 320, 445, 888, 625, 227, 714, 711, 416, 300, 745, 63, 106, 929, 738, 787, 239, 586, 978, 976, 181, 442, 137, 145, 798, 186, 248, 533, 300, 140, 818, 185, 957, 774, 9, 888, 534, 886, 844, 181, 314, 947, 742, 307, 524, 625, 427, 508, 856, 67, 464, 992, 464, 285, 266, 722, 559, 947, 355, 475, 235, 886, 124, 705, 648, 929, 82, 378, 62, 11, 833, 328, 541, 80, 600, 653, 287, 5, 161, 345, 680, 565, 485, 623, 140, 581, 181, 469, 767, 457, 102, 395, 619, 701, 128, 842, 124, 478, 160, 491, 828, 890, 853, 350, 169, 479, 450, 783, 408, 374, 361, 491, 257, 650, 825, 42, 898, 684, 48, 767, 358, 746, 708, 704, 171, 628, 627, 784, 322, 835, 698, 681, 275, 768, 862, 532, 715, 353, 60, 288, 323, 795, 574, 551, 468, 465, 152, 629, 269, 459, 571, 933, 813, 32, 104, 29, 703, 933, 449, 381, 275, 662, 270, 317, 14, 769, 417, 756, 665, 666, 293, 83, 546, 827, 592, 857, 359, 878, 794, 204, 603, 834, 425, 351, 310, 670, 20, 239, 417, 465, 194, 88, 560, 632, 968, 530, 443, 77, 732, 251, 229, 722, 834, 68, 599, 513, 825, 37, 213, 875, 773, 487, 307, 605, 941, 845, 96, 371, 330, 742, 445, 272, 237, 159, 997, 455, 60, 317, 597, 359, 991, 597, 356, 997, 147, 39, 176, 622, 924, 830, 875, 206, 75, 834, 319, 482, 45, 319, 137, 650, 642, 12, 646, 463, 971, 88, 602, 144, 884, 883, 255, 444},
{902, 988, 997, 227, 691, 845, 560, 134, 652, 158, 329, 279, 184, 206, 847, 394, 432, 629, 999, 540, 138, 379, 647, 326, 311, 301, 780, 540, 14, 249, 296, 251, 514, 728, 620, 729, 392, 808, 297, 983, 6, 438, 520, 310, 859, 388, 347, 41, 13, 717, 989, 547, 663, 67, 142, 689, 429, 99, 788, 81, 653, 87, 308, 961, 266, 990, 966, 1, 351, 375, 110, 47, 588, 153, 434, 713, 165, 470, 752, 695, 590, 989, 542, 861, 70, 475, 426, 537, 763, 852, 422, 819, 293, 832, 442, 451, 309, 822, 73, 538, 818, 34, 72, 381, 232, 668, 420, 750, 744, 568, 956, 253, 797, 946, 854, 811, 805, 720, 203, 873, 260, 438, 974, 699, 613, 26, 521, 961, 54, 397, 523, 929, 402, 472, 24, 715, 868, 299, 764, 422, 351, 794, 549, 536, 280, 64, 780, 574, 756, 418, 618, 834, 867, 937, 434, 68, 635, 908, 391, 33, 990, 523, 969, 182, 538, 992, 240, 187, 654, 627, 517, 619, 628, 486, 789, 844, 135, 919, 962, 133, 337, 719, 556, 56, 290, 576, 933, 454, 131, 281, 536, 674, 742, 396, 893, 306, 203, 169, 352, 333, 339, 70, 571, 513, 135, 676, 844, 755, 588, 578, 220, 486, 829, 598, 188, 288, 979, 915, 451, 585, 266, 591, 924, 796, 375, 604, 615, 150, 882, 759, 516, 329, 887, 693, 978, 204, 624, 818, 267, 179, 936, 216, 191, 103, 975, 389, 757, 253, 385, 298, 762, 657, 514, 289, 127, 883, 959, 385, 558, 484, 787, 869, 828, 478, 357, 288, 534, 614, 574, 759, 727, 657, 727, 5, 214, 633, 820, 570, 633, 769, 448, 535, 636, 857, 801, 425, 660, 922, 380, 126, 764, 328, 316, 360, 2, 950, 14, 675, 597, 637, 963, 962, 995, 917, 196, 240, 473, 867, 798, 800, 597, 106, 353, 855, 290, 134, 915, 495, 604, 581, 392, 124, 652, 539, 774, 509, 274, 771, 705, 285, 167, 531, 301, 983, 175, 673, 946, 720, 377, 937, 75, 206, 392, 605, 519, 91, 85, 212, 156, 544, 453, 631, 935, 586, 34, 645, 338, 925, 588, 63, 487, 966, 205, 560, 901, 193, 178, 673, 893, 377, 204, 783, 141, 916, 511, 541, 853, 126, 480, 874, 238, 511, 224, 628, 691, 890, 374, 922, 272, 707, 4, 530, 491, 58, 218, 900, 421, 746, 461, 11, 436, 156, 985, 856, 650, 851, 248, 236, 244, 582, 232, 472, 447, 827, 809, 835, 890, 83, 306, 736, 392, 852, 367, 204, 47, 703, 74, 772, 625, 814, 9, 666, 903},
{147, 645, 78, 512, 755, 983, 424, 306, 767, 842, 699, 43, 269, 590, 405, 377, 639, 392, 118, 784, 923, 234, 427, 57, 421, 83, 848, 427, 53, 559, 317, 232, 961, 388, 47, 230, 484, 737, 867, 383, 865, 261, 614, 907, 51, 285, 799, 914, 467, 135, 598, 768, 954, 32, 96, 614, 919, 323, 891, 159, 324, 92, 382, 902, 364, 333, 500, 495, 542, 954, 219, 789, 377, 834, 906, 455, 180, 64, 472, 746, 159, 247, 294, 117, 617, 487, 147, 882, 167, 209, 649, 103, 677, 552, 330, 124, 154, 409, 17, 25, 867, 554, 134, 312, 814, 507, 423, 781, 50, 896, 792, 408, 499, 154, 240, 515, 625, 286, 298, 208, 704, 327, 7, 269, 564, 840, 226, 269, 291, 484, 980, 654, 868, 224, 639, 954, 643, 271, 933, 69, 291, 168, 224, 781, 222, 764, 968, 284, 401, 999, 38, 498, 220, 500, 375, 425, 318, 37, 537, 560, 280, 757, 783, 678, 708, 958, 746, 932, 474, 864, 152, 239, 871, 526, 748, 409, 8, 480, 347, 340, 986, 249, 864, 842, 358, 121, 341, 373, 876, 885, 181, 998, 796, 399, 287, 441, 845, 861, 312, 926, 505, 726, 10, 856, 439, 994, 546, 51, 747, 457, 658, 414, 199, 128, 774, 384, 793, 721, 558, 478, 753, 528, 830, 555, 569, 431, 528, 178, 814, 181, 156, 573, 216, 192, 174, 280, 930, 327, 919, 496, 41, 121, 932, 518, 51, 865, 2, 441, 546, 805, 898, 445, 263, 480, 463, 603, 509, 872, 679, 105, 265, 609, 424, 216, 308, 944, 816, 71, 408, 611, 473, 620, 954, 929, 534, 657, 401, 752, 8, 878, 547, 912, 843, 350, 996, 868, 165, 598, 91, 123, 254, 758, 248, 826, 205, 898, 898, 719, 639, 639, 169, 131, 535, 697, 27, 383, 993, 800, 874, 305, 721, 734, 459, 954, 130, 918, 540, 908, 178, 20, 977, 599, 567, 590, 749, 292, 390, 616, 959, 246, 140, 155, 85, 466, 840, 955, 521, 290, 86, 91, 20, 686, 27, 87, 740, 785, 646, 50, 454, 636, 210, 551, 908, 627, 441, 806, 481, 289, 788, 812, 18, 455, 135, 693, 209, 853, 453, 394, 930, 276, 170, 316, 717, 375, 502, 176, 964, 24, 580, 598, 492, 889, 977, 518, 822, 575, 166, 454, 912, 220, 496, 122, 86, 927, 530, 645, 617, 793, 944, 832, 735, 550, 767, 623, 846, 83, 411, 782, 390, 136, 810, 403, 81, 543, 13, 566, 241, 247, 703, 768, 558, 149, 504, 371, 867, 592, 338, 366, 511, 902, 820, 231, 405, 916},
{399, 482, 192, 924, 939, 841, 770, 751, 553, 563, 34, 984, 713, 604, 896, 512, 151, 761, 514, 595, 566, 823, 188, 678, 954, 81, 566, 24, 198, 240, 655, 36, 662, 904, 608, 836, 687, 320, 428, 247, 260, 967, 536, 850, 646, 982, 612, 201, 444, 60, 245, 581, 313, 679, 695, 912, 671, 38, 529, 580, 730, 18, 952, 940, 572, 908, 429, 248, 406, 337, 571, 567, 760, 72, 360, 4, 98, 929, 436, 237, 318, 999, 618, 920, 614, 820, 797, 975, 456, 908, 68, 185, 786, 286, 267, 792, 135, 231, 126, 994, 989, 535, 857, 299, 659, 930, 342, 768, 874, 237, 14, 27, 513, 965, 190, 766, 196, 807, 857, 195, 962, 447, 868, 493, 874, 639, 80, 903, 190, 301, 225, 494, 708, 704, 214, 1, 981, 471, 107, 410, 357, 194, 224, 99, 235, 980, 744, 404, 500, 126, 634, 500, 809, 389, 985, 313, 322, 107, 636, 990, 487, 449, 464, 160, 708, 654, 904, 771, 69, 25, 37, 867, 800, 770, 57, 989, 862, 550, 77, 292, 804, 687, 975, 620, 96, 603, 440, 957, 201, 959, 452, 692, 22, 375, 205, 74, 740, 332, 847, 84, 721, 102, 503, 730, 887, 54, 740, 380, 902, 748, 30, 363, 585, 572, 760, 535, 176, 501, 67, 854, 503, 772, 67, 332, 616, 864, 95, 900, 155, 200, 181, 852, 599, 425, 332, 479, 527, 932, 128, 486, 203, 563, 782, 560, 127, 28, 92, 178, 674, 684, 616, 403, 571, 729, 51, 926, 755, 754, 975, 62, 140, 854, 83, 761, 862, 203, 533, 956, 911, 30, 320, 696, 406, 484, 382, 636, 391, 717, 738, 380, 761, 851, 100, 78, 769, 190, 257, 455, 669, 148, 48, 152, 211, 898, 835, 841, 70, 661, 270, 107, 813, 889, 549, 456, 659, 345, 535, 194, 132, 214, 828, 75, 671, 949, 390, 784, 416, 491, 330, 366, 662, 881, 281, 607, 948, 63, 147, 293, 324, 820, 86, 953, 138, 410, 309, 408, 574, 414, 637, 984, 256, 751, 788, 748, 472, 579, 70, 472, 956, 13, 457, 344, 702, 240, 73, 625, 988, 582, 713, 561, 664, 523, 378, 831, 727, 529, 733, 780, 430, 733, 66, 445, 438, 218, 540, 137, 88, 645, 529, 982, 392, 485, 374, 319, 247, 922, 162, 336, 262, 810, 42, 661, 716, 713, 118, 867, 412, 158, 224, 24, 636, 713, 713, 498, 986, 404, 940, 180, 569, 262, 317, 161, 954, 547, 622, 732, 332, 259, 789, 216, 485, 101, 511, 757, 585, 964, 826, 714, 308, 366, 336, 696, 437, 970, 771},
{596, 957, 501, 474, 219, 610, 906, 734, 212, 36, 557, 51, 47, 903, 674, 109, 761, 893, 918, 696, 979, 999, 257, 802, 529, 375, 817, 902, 605, 874, 417, 769, 8, 519, 848, 195, 446, 326, 822, 688, 303, 363, 654, 572, 511, 398, 407, 848, 406, 239, 223, 931, 508, 712, 10, 586, 207, 214, 452, 418, 195, 989, 606, 862, 371, 564, 926, 920, 608, 266, 670, 790, 428, 425, 65, 169, 172, 577, 470, 220, 687, 24, 82, 128, 894, 139, 353, 693, 861, 122, 423, 664, 179, 286, 320, 362, 483, 574, 608, 674, 954, 688, 435, 700, 503, 148, 663, 145, 134, 612, 873, 84, 670, 989, 547, 842, 633, 259, 662, 580, 556, 388, 278, 595, 434, 435, 410, 527, 341, 738, 656, 377, 435, 78, 576, 729, 734, 827, 782, 635, 80, 414, 85, 356, 614, 859, 776, 594, 995, 758, 334, 873, 286, 853, 399, 464, 135, 234, 888, 598, 444, 312, 466, 786, 155, 921, 431, 687, 214, 298, 271, 356, 23, 220, 747, 672, 888, 326, 405, 431, 95, 427, 811, 842, 209, 707, 681, 202, 143, 816, 271, 84, 328, 234, 67, 696, 72, 723, 872, 982, 786, 364, 806, 611, 329, 423, 644, 298, 147, 291, 166, 751, 221, 802, 868, 120, 129, 538, 473, 51, 640, 106, 163, 295, 366, 988, 367, 373, 948, 277, 206, 965, 145, 478, 451, 549, 974, 656, 916, 290, 742, 352, 766, 363, 407, 65, 134, 677, 223, 640, 754, 441, 25, 529, 107, 136, 811, 725, 649, 251, 548, 188, 328, 536, 199, 662, 465, 666, 60, 128, 526, 904, 400, 546, 6, 810, 261, 185, 870, 51, 28, 562, 577, 122, 41, 969, 666, 135, 88, 614, 324, 871, 91, 640, 125, 984, 668, 690, 362, 560, 570, 200, 977, 264, 131, 336, 150, 933, 39, 319, 4, 810, 667, 907, 747, 542, 169, 978, 772, 732, 338, 469, 917, 80, 949, 423, 132, 93, 951, 511, 222, 937, 392, 225, 274, 264, 406, 849, 551, 692, 968, 453, 402, 288, 336, 390, 758, 480, 267, 230, 309, 819, 214, 607, 328, 466, 600, 193, 430, 483, 225, 926, 250, 867, 574, 628, 143, 734, 570, 370, 523, 229, 827, 298, 399, 548, 32, 132, 976, 920, 453, 234, 960, 520, 922, 961, 315, 55, 826, 3, 804, 219, 799, 519, 583, 285, 839, 240, 495, 853, 517, 76, 462, 187, 763, 438, 581, 611, 532, 219, 79, 189, 245, 286, 296, 231, 522, 451, 252, 251, 164, 66, 145, 649, 729, 827, 356, 749, 350, 878, 145, 806, 603, 26, 217, 279},
{376, 722, 806, 931, 632, 498, 731, 329, 948, 685, 115, 903, 461, 588, 121, 30, 604, 779, 100, 511, 669, 771, 4, 446, 714, 184, 773, 697, 818, 406, 713, 106, 36, 913, 489, 115, 621, 635, 529, 731, 296, 184, 34, 583, 374, 350, 757, 380, 542, 994, 981, 275, 978, 335, 824, 442, 257, 700, 144, 709, 205, 10, 823, 218, 465, 582, 127, 895, 19, 411, 178, 17, 332, 700, 330, 195, 128, 287, 353, 997, 981, 538, 916, 744, 79, 484, 790, 193, 528, 209, 571, 518, 525, 985, 493, 439, 557, 252, 77, 362, 548, 274, 929, 163, 550, 276, 33, 580, 115, 889, 199, 226, 977, 979, 250, 907, 58, 352, 606, 294, 65, 312, 632, 950, 186, 821, 108, 432, 458, 795, 584, 425, 379, 145, 268, 886, 285, 282, 261, 780, 792, 201, 681, 250, 343, 656, 200, 33, 531, 660, 16, 490, 405, 265, 138, 897, 399, 582, 118, 515, 884, 81, 66, 545, 597, 467, 839, 270, 346, 877, 818, 574, 484, 684, 533, 537, 597, 939, 758, 16, 744, 399, 367, 924, 352, 60, 343, 473, 605, 406, 910, 728, 706, 863, 629, 706, 946, 507, 643, 647, 906, 720, 30, 265, 417, 334, 326, 531, 165, 758, 849, 982, 929, 749, 417, 649, 485, 756, 416, 428, 145, 236, 932, 153, 765, 937, 861, 638, 802, 908, 460, 726, 641, 921, 836, 717, 20, 42, 223, 593, 824, 367, 724, 137, 914, 265, 393, 377, 920, 69, 154, 811, 171, 815, 60, 479, 955, 525, 847, 290, 407, 492, 542, 973, 114, 254, 131, 639, 466, 211, 970, 195, 416, 370, 624, 853, 977, 298, 305, 486, 330, 196, 946, 876, 822, 922, 221, 820, 545, 926, 457, 554, 351, 307, 544, 246, 415, 612, 355, 122, 466, 617, 148, 360, 781, 986, 677, 37, 953, 671, 498, 277, 195, 905, 994, 248, 645, 861, 269, 783, 754, 415, 865, 242, 302, 933, 707, 662, 51, 720, 336, 426, 314, 529, 662, 359, 971, 577, 54, 708, 590, 612, 469, 475, 329, 865, 775, 331, 255, 203, 107, 787, 576, 378, 337, 303, 990, 38, 300, 744, 79, 89, 378, 16, 178, 66, 501, 647, 693, 410, 369, 866, 158, 922, 925, 987, 631, 229, 756, 969, 259, 772, 52, 626, 856, 719, 254, 302, 439, 168, 292, 786, 497, 220, 602, 845, 648, 816, 723, 64, 13, 682, 337, 575, 298, 410, 89, 908, 107, 466, 361, 364, 427, 887, 466, 289, 617, 499, 388, 144, 440, 807, 299, 491, 880, 74, 543, 897, 528, 703, 708, 265, 302, 793, 675, 319, 141},
{563, 262, 769, 124, 449, 190, 225, 109, 849, 622, 28, 631, 833, 438, 43, 294, 682, 761, 850, 269, 765, 979, 964, 879, 92, 653, 427, 439, 860, 255, 598, 652, 478, 632, 50, 930, 782, 478, 187, 899, 683, 828, 673, 247, 35, 800, 747, 786, 305, 381, 269, 307, 534, 35, 692, 315, 160, 322, 180, 263, 492, 506, 782, 244, 36, 336, 929, 412, 385, 820, 474, 566, 124, 802, 205, 465, 15, 603, 18, 420, 779, 805, 951, 630, 941, 512, 857, 544, 512, 39, 802, 268, 811, 72, 201, 631, 329, 766, 292, 112, 329, 127, 805, 210, 857, 287, 564, 265, 921, 978, 345, 899, 856, 562, 526, 499, 336, 488, 910, 166, 39, 936, 667, 559, 719, 709, 499, 937, 338, 131, 983, 484, 916, 848, 557, 688, 12, 930, 725, 175, 42, 598, 927, 854, 228, 243, 930, 694, 559, 151, 759, 712, 37, 456, 931, 48, 422, 446, 233, 51, 857, 265, 313, 416, 17, 436, 176, 282, 891, 402, 13, 102, 943, 444, 891, 833, 86, 939, 537, 648, 901, 893, 802, 944, 569, 90, 477, 903, 199, 979, 720, 231, 675, 686, 810, 985, 645, 60, 837, 616, 970, 766, 666, 405, 870, 843, 769, 522, 919, 925, 533, 835, 314, 654, 223, 394, 82, 380, 106, 258, 420, 333, 137, 964, 995, 910, 231, 472, 800, 572, 362, 829, 134, 108, 658, 222, 390, 743, 217, 235, 568, 595, 553, 410, 863, 506, 515, 159, 265, 169, 979, 147, 823, 759, 865, 75, 120, 7, 808, 624, 545, 727, 368, 989, 159, 397, 765, 42, 288, 239, 994, 642, 526, 645, 559, 91, 441, 499, 277, 945, 173, 90, 316, 719, 29, 892, 96, 74, 370, 406, 763, 169, 340, 643, 690, 766, 461, 619, 881, 532, 713, 354, 185, 750, 488, 509, 966, 305, 722, 748, 245, 365, 581, 320, 327, 681, 312, 152, 673, 771, 266, 964, 52, 577, 626, 521, 39, 347, 85, 142, 584, 614, 573, 68, 668, 137, 158, 44, 28, 568, 372, 781, 580, 475, 606, 574, 414, 999, 624, 396, 195, 133, 955, 274, 379, 73, 657, 607, 908, 607, 933, 339, 958, 787, 180, 592, 847, 428, 293, 459, 460, 129, 505, 120, 401, 575, 567, 354, 609, 850, 863, 823, 362, 380, 886, 213, 446, 897, 584, 413, 742, 531, 270, 462, 658, 704, 147, 902, 620, 36, 15, 512, 326, 852, 391, 129, 577, 249, 102, 440, 268, 818, 394, 130, 575, 355, 737, 768, 459, 824, 787, 177, 340, 878, 447, 762, 225, 997, 531, 515, 603, 131, 352, 929, 165, 359, 416, 101},
{756, 661, 527, 647, 11, 352, 816, 908, 784, 120, 590, 86, 883, 918, 460, 584, 522, 103, 902, 863, 656, 351, 233, 514, 605, 881, 48, 104, 370, 411, 288, 602, 658, 100, 460, 814, 915, 455, 989, 305, 588, 819, 360, 781, 449, 551, 441, 727, 40, 523, 394, 383, 223, 830, 638, 831, 351, 933, 610, 18, 818, 555, 498, 61, 604, 766, 674, 56, 962, 646, 301, 920, 583, 781, 474, 505, 403, 663, 297, 328, 734, 739, 493, 805, 536, 455, 514, 774, 457, 139, 612, 437, 756, 3, 23, 605, 311, 828, 219, 255, 724, 153, 185, 962, 959, 877, 790, 744, 18, 273, 656, 199, 950, 306, 320, 602, 863, 24, 158, 804, 650, 539, 246, 340, 920, 772, 288, 161, 916, 705, 784, 816, 307, 364, 897, 653, 351, 128, 785, 889, 343, 247, 792, 960, 199, 645, 533, 605, 699, 190, 786, 566, 248, 597, 125, 602, 924, 78, 372, 786, 279, 615, 311, 655, 545, 528, 532, 877, 934, 558, 969, 539, 214, 304, 456, 8, 63, 220, 573, 630, 580, 785, 189, 162, 873, 678, 330, 936, 885, 963, 469, 267, 499, 373, 858, 453, 444, 706, 293, 91, 779, 305, 573, 60, 500, 285, 958, 724, 362, 953, 148, 347, 152, 401, 615, 686, 439, 780, 718, 69, 308, 194, 591, 950, 717, 425, 716, 149, 869, 971, 17, 468, 444, 973, 468, 400, 618, 662, 506, 950, 564, 895, 970, 399, 487, 205, 928, 997, 362, 517, 473, 180, 207, 388, 532, 846, 146, 152, 772, 687, 494, 858, 938, 311, 823, 245, 347, 145, 281, 302, 778, 696, 445, 141, 753, 782, 654, 22, 994, 753, 43, 349, 903, 588, 493, 412, 71, 960, 352, 409, 122, 18, 985, 63, 716, 699, 254, 729, 148, 826, 505, 477, 767, 110, 2, 2, 445, 461, 533, 655, 330, 681, 585, 64, 495, 681, 603, 14, 430, 885, 798, 319, 936, 339, 452, 391, 701, 395, 852, 76, 732, 486, 864, 132, 858, 691, 609, 424, 718, 244, 883, 468, 998, 114, 775, 510, 216, 106, 375, 710, 988, 645, 629, 317, 576, 598, 135, 966, 455, 992, 125, 325, 811, 481, 995, 393, 159, 760, 436, 657, 709, 902, 660, 202, 755, 763, 297, 576, 67, 195, 183, 927, 233, 784, 703, 447, 953, 237, 345, 669, 525, 328, 807, 522, 126, 547, 354, 330, 88, 171, 104, 173, 10, 546, 584, 56, 443, 749, 214, 424, 881, 660, 313, 386, 969, 707, 880, 900, 148, 187, 665, 846, 460, 128, 968, 564, 866, 103, 216, 975, 206, 277, 596, 833, 904, 244, 956, 10, 636},
{881, 688, 966, 380, 523, 596, 740, 783, 271, 561, 816, 271, 121, 385, 257, 85, 913, 358, 317, 355, 816, 935, 577, 296, 148, 426, 312, 860, 894, 728, 399, 538, 181, 955, 604, 467, 298, 287, 464, 742, 626, 469, 320, 578, 945, 196, 271, 18, 154, 4, 960, 972, 408, 449, 120, 701, 38, 40, 761, 265, 351, 816, 744, 125, 666, 547, 205, 791, 428, 192, 992, 358, 307, 690, 818, 837, 552, 131, 323, 442, 670, 60, 605, 331, 716, 31, 84, 903, 95, 481, 731, 416, 790, 672, 819, 544, 376, 766, 333, 539, 970, 54, 104, 792, 569, 956, 548, 939, 810, 761, 612, 129, 290, 907, 141, 704, 2, 297, 456, 361, 333, 304, 339, 765, 338, 96, 984, 756, 650, 412, 733, 490, 531, 176, 561, 317, 987, 182, 363, 764, 818, 637, 50, 703, 747, 506, 350, 704, 509, 459, 998, 585, 847, 730, 689, 399, 936, 308, 754, 432, 655, 747, 61, 318, 448, 305, 999, 21, 292, 250, 782, 293, 396, 978, 462, 169, 838, 982, 258, 206, 279, 833, 755, 480, 274, 65, 538, 784, 473, 264, 626, 99, 168, 729, 863, 144, 226, 762, 65, 765, 457, 51, 283, 974, 837, 618, 38, 674, 824, 490, 741, 525, 203, 589, 816, 920, 512, 353, 220, 757, 146, 225, 157, 535, 598, 481, 813, 335, 222, 820, 797, 398, 48, 764, 844, 341, 902, 196, 31, 539, 85, 301, 387, 846, 335, 759, 334, 588, 690, 294, 807, 758, 90, 568, 286, 415, 271, 13, 188, 562, 579, 336, 273, 207, 806, 399, 742, 865, 68, 599, 710, 518, 20, 158, 597, 896, 453, 494, 780, 53, 375, 401, 539, 327, 246, 863, 910, 206, 950, 196, 601, 92, 411, 627, 489, 626, 495, 576, 591, 86, 21, 654, 558, 326, 206, 869, 942, 875, 868, 564, 464, 107, 45, 414, 482, 835, 486, 183, 711, 314, 624, 991, 984, 350, 238, 605, 506, 200, 985, 566, 641, 961, 410, 74, 723, 408, 797, 164, 775, 630, 480, 115, 291, 346, 802, 957, 452, 484, 984, 671, 229, 476, 528, 917, 822, 712, 669, 154, 830, 786, 600, 578, 319, 488, 840, 640, 717, 957, 180, 781, 78, 83, 90, 674, 776, 5, 338, 455, 187, 535, 836, 366, 186, 411, 422, 776, 625, 564, 339, 758, 52, 17, 705, 291, 24, 568, 118, 659, 370, 189, 872, 829, 576, 904, 961, 407, 310, 38, 151, 288, 757, 805, 937, 260, 65, 709, 126, 626, 671, 599, 92, 386, 736, 3, 548, 641, 170, 119, 753, 643, 22, 856, 685, 375, 92, 449, 627, 617, 667, 454},
{11, 210, 245, 403, 97, 622, 931, 982, 287, 8, 978, 370, 413, 619, 559, 295, 349, 861, 481, 436, 702, 257, 983, 28, 118, 298, 151, 921, 949, 505, 771, 900, 674, 2, 654, 720, 415, 562, 514, 257, 421, 414, 543, 93, 120, 27, 695, 93, 643, 764, 537, 815, 365, 512, 231, 101, 14, 387, 838, 810, 432, 172, 706, 490, 852, 390, 85, 667, 905, 850, 522, 620, 180, 17, 816, 696, 289, 805, 454, 699, 872, 277, 563, 409, 834, 204, 352, 76, 468, 690, 906, 560, 773, 873, 980, 891, 427, 204, 149, 167, 367, 985, 227, 116, 884, 639, 441, 127, 448, 648, 172, 230, 221, 233, 476, 344, 393, 610, 756, 77, 974, 113, 129, 504, 684, 527, 41, 659, 910, 786, 642, 892, 500, 507, 284, 890, 304, 980, 225, 894, 4, 883, 343, 571, 714, 401, 178, 84, 259, 430, 115, 120, 831, 263, 910, 35, 942, 466, 29, 816, 172, 656, 461, 255, 288, 570, 809, 587, 680, 86, 381, 882, 931, 849, 15, 591, 551, 777, 102, 48, 582, 974, 70, 136, 797, 557, 142, 35, 702, 441, 801, 686, 392, 419, 772, 642, 612, 757, 703, 991, 13, 77, 5, 391, 706, 526, 417, 593, 701, 118, 4, 468, 694, 615, 175, 241, 990, 563, 303, 550, 57, 879, 191, 978, 288, 927, 431, 911, 127, 147, 230, 926, 578, 117, 802, 446, 489, 414, 859, 24, 743, 726, 5, 509, 603, 469, 107, 253, 44, 598, 825, 722, 844, 389, 513, 121, 571, 696, 650, 127, 382, 633, 834, 403, 716, 641, 80, 346, 563, 666, 860, 436, 954, 490, 890, 631, 741, 346, 104, 470, 509, 584, 695, 958, 711, 513, 338, 840, 672, 557, 921, 547, 192, 490, 227, 7, 853, 829, 967, 466, 15, 465, 540, 693, 655, 165, 650, 204, 962, 940, 676, 680, 510, 137, 309, 364, 419, 731, 495, 999, 697, 575, 182, 867, 260, 191, 703, 550, 786, 326, 905, 309, 669, 654, 257, 425, 796, 913, 272, 369, 789, 272, 547, 444, 643, 922, 582, 416, 404, 720, 342, 676, 651, 205, 231, 707, 53, 476, 718, 966, 201, 217, 373, 807, 277, 620, 492, 741, 800, 90, 787, 157, 909, 379, 862, 604, 134, 254, 304, 890, 589, 857, 271, 499, 899, 708, 406, 348, 916, 667, 715, 455, 463, 252, 871, 876, 946, 417, 992, 187, 653, 275, 565, 849, 923, 260, 631, 64, 240, 936, 744, 40, 440, 971, 479, 231, 884, 809, 493, 727, 454, 239, 200, 876, 634, 318, 155, 212, 831, 151, 157, 946, 248, 564, 855, 598, 341, 69, 435, 802, 902},
{371, 511, 18, 278, 352, 974, 596, 93, 610, 904, 672, 144, 632, 63, 396, 761, 165, 710, 346, 60, 608, 668, 311, 968, 106, 583, 280, 828, 552, 370, 148, 651, 899, 657, 559, 837, 3, 842, 374, 270, 746, 89, 392, 215, 326, 158, 386, 396, 377, 493, 946, 923, 136, 391, 375, 536, 880, 391, 621, 705, 748, 254, 298, 756, 403, 33, 905, 77, 145, 755, 719, 885, 805, 207, 219, 767, 150, 127, 561, 377, 598, 902, 372, 312, 770, 500, 5, 100, 742, 935, 555, 695, 922, 71, 89, 633, 154, 895, 980, 236, 976, 738, 758, 851, 981, 47, 591, 142, 854, 474, 385, 861, 2, 20, 469, 396, 619, 873, 40, 575, 705, 430, 837, 915, 764, 674, 19, 496, 912, 768, 816, 150, 671, 183, 409, 485, 989, 195, 300, 547, 930, 890, 706, 594, 20, 84, 626, 560, 489, 729, 751, 236, 478, 438, 915, 130, 829, 738, 512, 259, 274, 541, 235, 802, 638, 105, 474, 726, 229, 454, 973, 927, 670, 830, 659, 447, 314, 226, 77, 594, 766, 509, 555, 554, 248, 918, 34, 246, 230, 954, 450, 690, 271, 830, 768, 142, 25, 659, 968, 604, 187, 512, 817, 87, 491, 337, 809, 189, 996, 450, 448, 117, 547, 25, 963, 293, 721, 518, 605, 59, 579, 485, 930, 818, 218, 586, 840, 137, 472, 905, 706, 949, 107, 862, 606, 62, 499, 116, 546, 518, 111, 864, 567, 273, 19, 835, 795, 844, 407, 118, 824, 249, 180, 662, 296, 581, 812, 946, 192, 84, 118, 817, 129, 365, 897, 968, 917, 741, 309, 862, 729, 338, 347, 163, 507, 657, 85, 893, 638, 826, 153, 622, 529, 631, 474, 936, 400, 731, 483, 344, 556, 175, 853, 546, 392, 439, 294, 689, 627, 739, 108, 835, 588, 289, 20, 359, 893, 504, 251, 429, 550, 913, 931, 10, 316, 651, 726, 80, 131, 989, 988, 864, 587, 298, 830, 933, 696, 210, 267, 943, 645, 518, 976, 680, 862, 523, 294, 761, 453, 123, 751, 86, 21, 936, 879, 619, 905, 132, 974, 634, 177, 447, 267, 851, 36, 103, 212, 274, 872, 885, 686, 631, 906, 760, 456, 509, 197, 735, 653, 211, 818, 580, 929, 312, 178, 221, 578, 702, 754, 268, 217, 611, 55, 221, 529, 762, 179, 306, 178, 330, 213, 804, 231, 800, 607, 989, 362, 224, 793, 439, 629, 560, 577, 635, 866, 998, 249, 175, 594, 210, 923, 880, 854, 444, 373, 355, 616, 277, 491, 255, 182, 589, 555, 656, 551, 66, 697, 442, 856, 89, 300, 497, 767, 404, 575, 922, 265, 361, 266, 133, 263, 839},
{187, 905, 386, 188, 356, 975, 591, 651, 575, 733, 455, 782, 614, 944, 678, 282, 620, 193, 761, 559, 958, 899, 861, 62, 466, 392, 572, 85, 23, 447, 727, 330, 401, 145, 352, 965, 614, 690, 590, 326, 339, 24, 760, 645, 565, 702, 686, 458, 297, 522, 130, 354, 2, 787, 416, 809, 517, 987, 369, 707, 285, 825, 222, 3, 116, 266, 520, 675, 162, 248, 922, 782, 420, 217, 400, 927, 880, 461, 604, 927, 372, 541, 58, 785, 298, 740, 379, 360, 657, 583, 991, 259, 249, 923, 607, 558, 441, 42, 334, 932, 693, 437, 414, 647, 865, 768, 465, 661, 405, 463, 574, 768, 699, 65, 758, 326, 243, 296, 109, 595, 780, 170, 415, 149, 247, 189, 163, 120, 157, 856, 604, 279, 96, 241, 14, 54, 54, 312, 348, 667, 697, 130, 268, 470, 79, 729, 873, 443, 911, 733, 601, 547, 298, 289, 383, 302, 705, 945, 615, 525, 85, 446, 448, 623, 229, 240, 634, 242, 877, 716, 490, 323, 607, 775, 539, 856, 251, 370, 47, 668, 449, 97, 963, 630, 937, 714, 788, 552, 356, 738, 428, 872, 693, 896, 485, 950, 935, 265, 256, 418, 165, 396, 390, 573, 111, 573, 347, 249, 135, 638, 733, 923, 719, 481, 138, 121, 798, 391, 299, 271, 691, 925, 339, 314, 970, 893, 277, 265, 322, 304, 274, 863, 361, 872, 858, 194, 394, 775, 903, 890, 313, 876, 276, 98, 195, 554, 870, 890, 651, 616, 245, 262, 673, 516, 144, 99, 532, 219, 24, 795, 268, 650, 97, 286, 451, 578, 523, 300, 184, 172, 97, 611, 776, 240, 214, 870, 111, 336, 942, 388, 490, 478, 741, 898, 689, 262, 734, 869, 989, 493, 499, 441, 209, 308, 994, 430, 137, 922, 583, 117, 332, 810, 143, 751, 910, 69, 857, 787, 853, 229, 639, 868, 335, 534, 72, 507, 765, 998, 381, 203, 563, 180, 252, 477, 146, 646, 197, 932, 269, 600, 814, 983, 650, 963, 504, 324, 734, 509, 102, 586, 609, 295, 473, 875, 282, 750, 316, 9, 17, 238, 275, 406, 943, 827, 42, 497, 921, 303, 245, 429, 517, 146, 822, 624, 988, 341, 45, 439, 392, 385, 494, 773, 258, 785, 161, 973, 807, 687, 234, 804, 365, 6, 309, 560, 411, 567, 533, 623, 741, 336, 585, 908, 299, 749, 551, 652, 573, 558, 445, 971, 890, 323, 552, 444, 520, 914, 844, 730, 316, 928, 390, 914, 485, 934, 116, 811, 197, 862, 238, 946, 941, 626, 422, 321, 959, 312, 34, 341, 587, 849, 861, 479, 87, 122, 333, 363, 353, 895, 563, 943, 947, 770, 539},
{366, 26, 603, 354, 921, 97, 501, 710, 235, 10, 535, 815, 438, 194, 759, 400, 630, 4, 37, 838, 372, 931, 373, 245, 286, 594, 212, 983, 130, 623, 156, 251, 829, 55, 129, 243, 54, 337, 850, 983, 877, 856, 802, 28, 949, 727, 597, 131, 394, 667, 743, 469, 331, 956, 339, 122, 538, 857, 149, 366, 249, 353, 855, 791, 507, 778, 10, 352, 823, 688, 345, 270, 89, 335, 703, 124, 831, 239, 721, 562, 947, 630, 861, 805, 976, 13, 67, 535, 836, 679, 571, 791, 689, 781, 908, 257, 270, 490, 209, 634, 587, 828, 241, 894, 359, 15, 450, 820, 944, 542, 481, 641, 815, 733, 265, 523, 789, 259, 769, 366, 366, 912, 953, 636, 498, 994, 300, 946, 49, 787, 505, 710, 990, 959, 609, 494, 148, 197, 846, 584, 891, 8, 984, 930, 740, 441, 780, 826, 277, 405, 438, 618, 104, 377, 655, 294, 863, 569, 900, 998, 467, 21, 74, 411, 759, 670, 583, 457, 845, 188, 190, 978, 128, 243, 661, 863, 949, 920, 397, 614, 394, 197, 722, 487, 397, 746, 450, 149, 846, 873, 650, 267, 730, 8, 335, 558, 745, 49, 857, 617, 963, 818, 426, 264, 315, 18, 68, 246, 664, 379, 735, 890, 213, 158, 50, 678, 787, 701, 304, 800, 358, 622, 989, 452, 765, 989, 41, 2, 218, 51, 433, 194, 588, 217, 551, 248, 925, 440, 952, 19, 863, 643, 765, 424, 838, 577, 993, 973, 83, 322, 407, 536, 398, 676, 550, 481, 607, 839, 617, 906, 410, 111, 615, 985, 84, 826, 265, 381, 103, 386, 561, 253, 296, 995, 766, 660, 579, 751, 901, 49, 686, 733, 447, 59, 530, 95, 84, 138, 37, 519, 754, 289, 313, 7, 260, 812, 36, 678, 875, 107, 765, 172, 199, 412, 744, 254, 550, 883, 369, 469, 764, 542, 171, 1, 139, 452, 618, 434, 648, 940, 466, 786, 249, 802, 717, 975, 274, 208, 458, 909, 451, 459, 965, 487, 37, 853, 538, 109, 919, 624, 430, 756, 337, 369, 103, 277, 6, 412, 801, 307, 46, 274, 80, 157, 91, 773, 510, 76, 355, 362, 241, 535, 225, 914, 491, 563, 176, 586, 314, 701, 389, 326, 197, 858, 514, 292, 119, 195, 404, 719, 732, 176, 501, 769, 223, 109, 810, 487, 215, 803, 996, 315, 848, 469, 247, 486, 728, 608, 951, 270, 32, 460, 150, 251, 484, 487, 949, 736, 250, 516, 802, 958, 57, 409, 603, 932, 33, 541, 64, 725, 790, 954, 731, 396, 272, 793, 289, 75, 762, 479, 498, 477, 233, 184, 284, 645, 904, 303, 927, 860, 497, 24, 313, 495},
{141, 584, 482, 28, 335, 483, 475, 551, 669, 742, 628, 917, 229, 279, 993, 67, 738, 607, 555, 194, 556, 371, 232, 149, 536, 659, 486, 867, 657, 670, 466, 700, 58, 34, 251, 202, 774, 52, 729, 345, 59, 158, 38, 119, 613, 159, 286, 184, 465, 180, 527, 574, 502, 806, 508, 454, 846, 590, 792, 580, 396, 971, 238, 420, 816, 654, 684, 866, 206, 657, 912, 91, 477, 584, 595, 358, 195, 143, 19, 582, 273, 564, 795, 946, 440, 394, 666, 222, 857, 48, 758, 252, 577, 652, 334, 705, 843, 953, 159, 332, 331, 466, 99, 912, 552, 666, 460, 552, 573, 694, 878, 197, 118, 983, 275, 71, 876, 239, 513, 236, 563, 393, 916, 637, 832, 543, 713, 778, 715, 351, 832, 680, 589, 106, 196, 862, 65, 419, 818, 871, 371, 546, 540, 346, 940, 444, 225, 635, 964, 977, 579, 822, 603, 138, 543, 308, 392, 722, 367, 262, 140, 734, 81, 901, 288, 621, 36, 951, 243, 594, 628, 683, 692, 475, 70, 574, 272, 913, 310, 24, 266, 369, 830, 504, 180, 927, 27, 222, 155, 917, 348, 651, 185, 259, 183, 268, 997, 687, 710, 443, 303, 295, 616, 739, 815, 318, 576, 756, 92, 747, 908, 308, 768, 117, 636, 913, 223, 787, 493, 539, 18, 146, 49, 37, 764, 398, 254, 967, 187, 63, 168, 381, 247, 837, 524, 624, 148, 245, 117, 443, 927, 363, 669, 510, 143, 961, 984, 955, 817, 606, 676, 691, 450, 610, 727, 78, 365, 246, 433, 983, 109, 300, 53, 383, 905, 868, 609, 443, 425, 281, 847, 460, 223, 170, 326, 108, 260, 8, 945, 218, 862, 879, 42, 693, 315, 848, 291, 227, 33, 71, 314, 223, 939, 704, 794, 671, 229, 730, 386, 768, 161, 74, 432, 754, 932, 744, 755, 783, 949, 312, 393, 632, 998, 696, 155, 719, 950, 123, 320, 205, 599, 115, 630, 898, 169, 538, 947, 363, 837, 70, 629, 828, 346, 913, 687, 499, 386, 257, 284, 435, 17, 710, 963, 382, 770, 979, 308, 914, 490, 73, 347, 721, 167, 646, 193, 156, 233, 484, 786, 4, 809, 706, 616, 948, 400, 10, 493, 436, 390, 151, 250, 427, 502, 906, 278, 71, 52, 975, 389, 461, 440, 604, 387, 449, 837, 261, 71, 955, 404, 349, 144, 353, 726, 747, 625, 251, 373, 4, 943, 476, 589, 63, 814, 98, 196, 799, 402, 126, 707, 992, 6, 901, 504, 38, 712, 251, 697, 437, 31, 202, 930, 22, 500, 422, 969, 950, 685, 589, 392, 742, 748, 550, 68, 9, 19, 513, 400, 73, 568, 463, 518, 389, 854, 699, 658},
{503, 883, 650, 45, 330, 214, 123, 421, 686, 327, 761, 261, 337, 568, 742, 364, 302, 888, 704, 208, 801, 91, 471, 940, 22, 135, 401, 347, 816, 346, 64, 478, 587, 30, 553, 873, 832, 80, 900, 485, 273, 677, 993, 459, 58, 41, 862, 924, 253, 520, 451, 799, 736, 13, 758, 431, 641, 807, 813, 560, 704, 477, 10, 710, 228, 371, 226, 604, 870, 583, 552, 617, 172, 25, 600, 602, 507, 359, 161, 638, 184, 126, 365, 389, 509, 324, 653, 782, 954, 102, 549, 690, 3, 948, 679, 101, 856, 1, 519, 67, 956, 612, 56, 339, 187, 355, 961, 202, 687, 14, 852, 452, 472, 916, 937, 895, 399, 183, 681, 973, 599, 61, 89, 364, 169, 542, 909, 469, 798, 915, 334, 727, 993, 673, 735, 584, 746, 509, 636, 788, 820, 731, 348, 390, 302, 490, 667, 458, 694, 676, 620, 53, 659, 218, 456, 463, 409, 741, 48, 34, 917, 289, 356, 178, 323, 823, 887, 337, 360, 771, 904, 702, 219, 720, 699, 507, 937, 730, 415, 547, 367, 379, 754, 409, 746, 818, 382, 549, 166, 601, 21, 986, 508, 3, 22, 859, 28, 858, 661, 517, 328, 710, 548, 141, 391, 165, 286, 89, 243, 961, 999, 322, 999, 164, 382, 283, 338, 279, 710, 528, 856, 873, 649, 318, 445, 424, 742, 47, 488, 742, 190, 125, 697, 270, 889, 451, 413, 974, 765, 100, 450, 353, 48, 234, 966, 260, 566, 525, 353, 907, 64, 572, 867, 375, 220, 893, 575, 436, 384, 81, 176, 297, 968, 619, 470, 113, 81, 672, 537, 782, 256, 887, 185, 568, 90, 883, 855, 564, 143, 616, 991, 866, 753, 289, 787, 615, 298, 778, 367, 713, 983, 850, 713, 134, 487, 562, 64, 208, 631, 331, 62, 189, 786, 129, 729, 675, 912, 128, 145, 198, 972, 923, 814, 391, 940, 137, 898, 663, 799, 811, 800, 251, 724, 521, 171, 838, 107, 506, 15, 672, 205, 488, 440, 263, 987, 32, 551, 292, 157, 437, 134, 321, 451, 214, 77, 254, 46, 97, 918, 271, 303, 433, 521, 144, 165, 518, 618, 407, 192, 127, 940, 862, 647, 27, 647, 285, 31, 785, 68, 995, 164, 500, 117, 186, 257, 421, 309, 480, 410, 592, 985, 248, 621, 756, 225, 613, 704, 759, 930, 928, 488, 616, 748, 714, 274, 200, 797, 746, 824, 261, 670, 973, 74, 82, 809, 453, 361, 654, 156, 315, 212, 656, 900, 79, 618, 896, 313, 289, 314, 133, 834, 521, 756, 317, 88, 335, 411, 425, 1, 595, 453, 960, 991, 927, 179, 130, 29, 744, 281, 464, 452, 437, 619, 350, 615, 801},
{275, 545, 783, 731, 505, 232, 216, 516, 646, 613, 63, 842, 175, 326, 484, 737, 872, 219, 429, 225, 517, 129, 614, 458, 586, 349, 560, 427, 207, 433, 971, 123, 6, 791, 374, 217, 554, 337, 666, 891, 833, 64, 191, 458, 514, 27, 953, 775, 850, 652, 913, 303, 723, 708, 611, 825, 649, 527, 953, 482, 616, 282, 692, 794, 230, 202, 962, 759, 978, 641, 289, 959, 393, 794, 608, 847, 490, 698, 206, 15, 160, 857, 930, 326, 127, 500, 691, 220, 656, 941, 46, 381, 466, 59, 616, 234, 185, 145, 211, 394, 258, 740, 745, 298, 433, 134, 526, 706, 818, 349, 996, 704, 22, 368, 789, 82, 102, 244, 835, 720, 856, 526, 276, 701, 513, 130, 194, 397, 996, 365, 459, 704, 808, 358, 563, 934, 973, 498, 946, 608, 650, 870, 153, 536, 794, 844, 148, 141, 662, 143, 254, 915, 74, 717, 443, 284, 64, 736, 219, 899, 994, 806, 870, 596, 208, 328, 684, 786, 75, 535, 611, 93, 612, 333, 936, 393, 920, 535, 777, 255, 316, 472, 569, 966, 451, 218, 287, 950, 636, 911, 826, 389, 281, 691, 830, 332, 666, 829, 267, 337, 220, 506, 214, 5, 92, 525, 660, 343, 116, 968, 585, 16, 159, 431, 239, 918, 468, 9, 321, 467, 868, 649, 722, 169, 545, 844, 589, 806, 751, 863, 737, 579, 944, 926, 861, 86, 771, 752, 551, 891, 813, 906, 888, 752, 223, 257, 236, 255, 187, 611, 917, 762, 684, 326, 681, 67, 138, 266, 158, 74, 362, 987, 94, 192, 713, 453, 773, 816, 414, 876, 864, 471, 855, 545, 929, 689, 81, 574, 968, 709, 758, 601, 639, 392, 700, 366, 282, 560, 378, 958, 453, 130, 953, 295, 454, 980, 55, 20, 250, 507, 906, 614, 247, 196, 436, 963, 649, 349, 687, 4, 466, 330, 180, 370, 820, 254, 887, 162, 894, 146, 132, 4, 695, 934, 8, 650, 861, 558, 936, 230, 870, 636, 534, 79, 355, 851, 292, 825, 708, 202, 482, 20, 799, 779, 299, 141, 404, 557, 486, 245, 923, 963, 620, 883, 52, 695, 759, 165, 335, 281, 398, 989, 959, 444, 528, 572, 713, 150, 148, 326, 753, 572, 739, 57, 758, 903, 67, 224, 22, 32, 160, 700, 296, 669, 491, 60, 533, 393, 169, 933, 169, 435, 430, 395, 291, 771, 842, 633, 834, 220, 405, 398, 944, 793, 162, 863, 783, 535, 46, 538, 327, 402, 416, 842, 200, 553, 138, 795, 138, 562, 145, 13, 489, 667, 103, 876, 45, 153, 198, 327, 579, 358, 89, 157, 720, 606, 733, 114, 134, 557, 161, 368, 580, 97, 257, 126, 73},
{915, 264, 234, 248, 316, 22, 652, 51, 670, 947, 576, 18, 152, 361, 792, 774, 23, 36, 602, 818, 817, 815, 256, 323, 209, 707, 377, 479, 218, 101, 320, 844, 687, 700, 719, 278, 627, 277, 781, 291, 123, 589, 995, 80, 961, 687, 34, 73, 86, 338, 568, 550, 199, 499, 626, 789, 648, 604, 874, 243, 753, 933, 926, 422, 301, 474, 377, 565, 857, 510, 732, 632, 864, 618, 876, 883, 236, 899, 966, 71, 323, 39, 925, 316, 643, 199, 803, 827, 761, 900, 321, 947, 48, 726, 848, 432, 817, 127, 933, 516, 532, 665, 228, 35, 339, 727, 343, 821, 186, 132, 710, 672, 169, 68, 28, 380, 567, 504, 212, 760, 219, 529, 98, 103, 514, 96, 307, 208, 291, 280, 796, 7, 371, 503, 611, 792, 276, 93, 285, 233, 917, 210, 133, 700, 706, 441, 417, 889, 563, 278, 980, 369, 790, 312, 515, 492, 600, 212, 14, 30, 396, 451, 376, 24, 566, 325, 324, 592, 622, 994, 999, 863, 25, 189, 644, 765, 918, 698, 766, 143, 306, 5, 52, 570, 899, 213, 78, 252, 5, 962, 588, 616, 299, 126, 664, 558, 310, 947, 645, 810, 731, 708, 77, 573, 430, 143, 239, 376, 186, 598, 90, 114, 700, 388, 533, 339, 436, 847, 996, 204, 147, 364, 227, 857, 779, 71, 54, 756, 575, 925, 665, 68, 794, 627, 538, 293, 474, 194, 793, 307, 30, 58, 182, 219, 291, 204, 306, 890, 814, 232, 951, 440, 874, 219, 619, 812, 601, 903, 421, 314, 140, 27, 521, 29, 527, 642, 225, 234, 257, 805, 608, 207, 113, 349, 328, 342, 912, 392, 883, 104, 286, 793, 103, 155, 437, 34, 125, 942, 138, 908, 445, 117, 867, 953, 876, 455, 103, 778, 433, 344, 230, 314, 200, 470, 484, 536, 248, 98, 590, 410, 514, 197, 492, 619, 354, 729, 696, 173, 181, 600, 238, 105, 185, 142, 238, 318, 655, 507, 339, 68, 804, 20, 33, 717, 348, 348, 78, 174, 296, 361, 698, 830, 540, 660, 283, 969, 869, 63, 598, 275, 981, 773, 356, 565, 907, 601, 121, 864, 20, 295, 128, 680, 461, 60, 592, 709, 389, 310, 458, 243, 916, 29, 361, 190, 4, 425, 767, 23, 828, 154, 879, 910, 390, 72, 918, 981, 157, 336, 807, 945, 604, 681, 127, 307, 397, 872, 453, 965, 756, 662, 819, 348, 339, 49, 107, 86, 501, 296, 631, 888, 445, 938, 45, 497, 112, 962, 947, 480, 84, 463, 286, 242, 997, 330, 687, 788, 111, 940, 378, 683, 781, 411, 230, 160, 530, 682, 767, 526, 295, 626, 689, 858, 229, 371, 571, 455, 110, 268},
{932, 695, 23, 272, 775, 739, 470, 13, 42, 994, 499, 521, 180, 363, 728, 375, 132, 103, 393, 30, 639, 529, 662, 241, 702, 910, 494, 752, 384, 624, 278, 895, 953, 82, 311, 366, 496, 951, 960, 159, 740, 951, 989, 609, 821, 845, 96, 551, 85, 302, 221, 800, 878, 972, 509, 622, 428, 467, 130, 320, 565, 919, 355, 835, 52, 482, 368, 65, 705, 391, 305, 653, 332, 227, 929, 143, 747, 600, 158, 728, 767, 774, 393, 332, 160, 687, 221, 326, 940, 397, 603, 80, 323, 248, 96, 392, 852, 947, 21, 43, 969, 298, 717, 895, 300, 557, 226, 460, 482, 260, 757, 353, 221, 870, 324, 860, 577, 813, 773, 666, 181, 273, 230, 881, 206, 665, 693, 680, 438, 801, 76, 228, 699, 608, 520, 96, 249, 724, 231, 14, 467, 407, 350, 641, 347, 968, 672, 43, 797, 391, 85, 638, 771, 872, 685, 764, 571, 789, 443, 359, 466, 959, 150, 946, 921, 181, 132, 827, 333, 691, 880, 319, 152, 609, 301, 944, 655, 412, 778, 724, 465, 215, 626, 96, 76, 937, 762, 528, 298, 459, 661, 625, 548, 497, 738, 321, 309, 272, 291, 831, 950, 980, 82, 171, 336, 706, 424, 362, 262, 709, 376, 963, 855, 931, 277, 178, 505, 177, 390, 574, 753, 649, 860, 450, 866, 462, 546, 911, 463, 255, 541, 65, 669, 299, 351, 98, 760, 346, 780, 609, 133, 970, 535, 300, 774, 387, 428, 986, 82, 518, 893, 983, 10, 626, 161, 68, 46, 949, 61, 615, 436, 596, 961, 7, 416, 425, 699, 68, 944, 770, 720, 127, 584, 602, 864, 272, 716, 225, 342, 513, 245, 619, 508, 853, 309, 367, 963, 717, 279, 414, 375, 808, 514, 79, 150, 205, 908, 334, 774, 451, 282, 850, 175, 448, 29, 248, 962, 193, 265, 735, 759, 815, 912, 619, 139, 878, 779, 210, 869, 632, 697, 238, 268, 744, 242, 277, 453, 81, 342, 578, 244, 226, 378, 375, 206, 813, 971, 983, 118, 168, 747, 955, 752, 441, 792, 143, 376, 184, 402, 777, 847, 275, 992, 549, 523, 199, 705, 278, 447, 980, 324, 917, 438, 435, 641, 586, 792, 33, 258, 757, 257, 366, 139, 17, 835, 110, 935, 556, 759, 408, 224, 126, 650, 830, 289, 290, 511, 364, 54, 655, 671, 478, 56, 202, 232, 896, 126, 961, 881, 602, 572, 83, 146, 540, 211, 744, 317, 636, 553, 473, 286, 37, 827, 166, 490, 944, 265, 530, 8, 995, 286, 696, 605, 924, 770, 497, 187, 159, 619, 257, 677, 64, 180, 980, 841, 796, 940, 502, 907, 109, 73, 505, 176, 985, 43, 318, 950, 714, 526},
{41, 274, 805, 271, 870, 907, 250, 417, 466, 934, 712, 986, 787, 188, 626, 930, 174, 390, 616, 162, 298, 581, 314, 446, 275, 886, 433, 916, 426, 162, 923, 226, 105, 380, 112, 32, 557, 889, 18, 592, 998, 822, 443, 759, 964, 18, 24, 503, 525, 778, 128, 468, 125, 672, 416, 712, 662, 371, 901, 924, 917, 214, 535, 940, 591, 778, 731, 269, 17, 251, 724, 728, 93, 789, 347, 976, 84, 412, 633, 899, 734, 134, 621, 365, 566, 240, 881, 804, 314, 594, 594, 442, 214, 830, 432, 787, 265, 134, 126, 146, 616, 62, 351, 526, 984, 516, 479, 276, 360, 550, 837, 195, 278, 173, 328, 676, 641, 672, 658, 612, 398, 295, 975, 455, 395, 284, 399, 799, 361, 392, 796, 309, 299, 991, 168, 639, 524, 803, 171, 234, 214, 93, 639, 537, 602, 905, 433, 193, 901, 542, 599, 288, 607, 998, 605, 528, 106, 568, 373, 547, 398, 111, 930, 172, 315, 792, 781, 608, 811, 214, 480, 957, 806, 968, 525, 387, 565, 580, 349, 582, 785, 711, 142, 807, 416, 277, 220, 21, 720, 812, 921, 10, 248, 33, 298, 442, 189, 28, 439, 50, 70, 960, 905, 924, 827, 427, 582, 22, 130, 887, 238, 536, 211, 692, 232, 783, 584, 266, 67, 552, 753, 956, 989, 698, 449, 907, 394, 896, 945, 58, 582, 83, 783, 41, 340, 76, 530, 326, 858, 278, 306, 410, 779, 176, 428, 252, 505, 516, 909, 424, 488, 717, 518, 663, 884, 25, 779, 574, 836, 415, 584, 269, 646, 23, 69, 628, 282, 151, 18, 678, 982, 552, 341, 321, 191, 706, 115, 265, 708, 315, 237, 548, 751, 53, 42, 494, 518, 929, 70, 280, 12, 254, 799, 555, 109, 306, 311, 707, 291, 288, 778, 444, 22, 45, 167, 336, 499, 321, 728, 826, 380, 46, 712, 33, 136, 253, 222, 321, 894, 748, 274, 258, 969, 578, 958, 50, 800, 684, 42, 963, 696, 855, 476, 578, 600, 258, 89, 911, 64, 349, 102, 603, 775, 949, 284, 387, 261, 637, 243, 1, 848, 338, 783, 551, 568, 237, 325, 104, 447, 651, 66, 917, 556, 548, 978, 320, 262, 745, 725, 697, 342, 664, 293, 443, 45, 697, 461, 993, 674, 860, 232, 293, 36, 446, 995, 91, 869, 792, 526, 526, 476, 134, 848, 318, 864, 727, 651, 738, 85, 104, 208, 235, 912, 340, 686, 229, 656, 702, 319, 124, 682, 885, 174, 27, 175, 333, 133, 18, 786, 798, 286, 53, 71, 420, 138, 774, 10, 10, 888, 528, 546, 225, 616, 909, 745, 543, 334, 988, 81, 676, 751, 197, 431, 196, 72, 521, 529, 645, 308, 259},
{977, 331, 391, 90, 465, 349, 848, 646, 480, 110, 902, 53, 637, 793, 676, 148, 722, 700, 564, 249, 706, 442, 974, 300, 244, 261, 355, 256, 656, 539, 841, 353, 991, 762, 918, 686, 503, 742, 190, 184, 828, 931, 758, 634, 224, 27, 697, 869, 409, 888, 821, 641, 30, 993, 287, 940, 200, 252, 544, 786, 388, 48, 832, 528, 664, 791, 706, 770, 433, 92, 49, 911, 872, 907, 659, 104, 664, 680, 767, 189, 73, 498, 769, 759, 68, 801, 70, 69, 971, 9, 161, 915, 74, 707, 970, 21, 761, 723, 82, 631, 966, 488, 616, 267, 156, 589, 484, 592, 672, 291, 197, 360, 953, 132, 639, 268, 49, 376, 44, 334, 902, 257, 887, 111, 71, 429, 607, 655, 878, 996, 829, 644, 574, 814, 268, 489, 657, 489, 572, 572, 434, 673, 207, 985, 787, 757, 828, 256, 327, 77, 774, 599, 346, 71, 980, 177, 481, 619, 71, 670, 584, 961, 421, 262, 43, 170, 696, 757, 748, 174, 763, 158, 965, 668, 876, 458, 573, 113, 747, 840, 568, 170, 425, 705, 242, 589, 930, 170, 144, 552, 237, 791, 814, 906, 481, 238, 271, 566, 287, 577, 399, 597, 676, 641, 734, 139, 331, 664, 595, 360, 920, 33, 172, 140, 762, 482, 956, 984, 374, 569, 868, 993, 342, 554, 518, 341, 519, 110, 327, 850, 753, 417, 639, 702, 253, 292, 519, 220, 187, 937, 693, 985, 332, 834, 947, 248, 412, 11, 359, 676, 252, 695, 930, 69, 54, 886, 555, 518, 896, 934, 747, 899, 11, 600, 264, 253, 540, 399, 527, 811, 241, 253, 783, 957, 29, 598, 45, 342, 365, 138, 160, 796, 225, 379, 810, 390, 788, 926, 840, 220, 55, 265, 88, 49, 310, 436, 792, 926, 726, 565, 754, 329, 418, 681, 627, 124, 963, 636, 128, 917, 727, 236, 490, 905, 332, 881, 176, 424, 275, 102, 739, 778, 986, 384, 727, 778, 618, 614, 676, 659, 428, 252, 604, 697, 959, 89, 853, 872, 100, 73, 803, 422, 731, 219, 736, 959, 902, 61, 130, 119, 375, 452, 712, 358, 959, 784, 917, 647, 244, 838, 756, 233, 227, 570, 748, 602, 864, 84, 231, 28, 754, 952, 295, 822, 986, 803, 622, 527, 714, 792, 693, 770, 152, 208, 213, 484, 491, 903, 88, 479, 723, 716, 974, 116, 452, 326, 245, 983, 586, 223, 183, 9, 201, 599, 373, 409, 983, 21, 542, 250, 410, 639, 548, 148, 184, 613, 829, 819, 572, 100, 393, 795, 943, 894, 326, 554, 224, 318, 897, 782, 972, 456, 563, 230, 513, 217, 530, 855, 854, 981, 148, 564, 156, 768, 27, 864, 136, 999, 684, 194, 137},
{888, 519, 502, 529, 449, 71, 914, 731, 875, 874, 939, 457, 828, 673, 754, 671, 751, 406, 531, 372, 885, 173, 664, 550, 121, 347, 3, 571, 114, 79, 880, 794, 422, 731, 820, 466, 522, 192, 272, 773, 656, 567, 645, 504, 434, 535, 201, 901, 991, 467, 58, 206, 289, 525, 716, 788, 831, 107, 980, 26, 692, 385, 129, 792, 218, 179, 476, 984, 207, 102, 254, 545, 687, 713, 830, 297, 608, 412, 890, 284, 932, 933, 121, 430, 610, 612, 329, 74, 895, 20, 680, 320, 288, 196, 936, 251, 147, 444, 130, 691, 692, 601, 126, 671, 663, 751, 915, 687, 386, 575, 257, 592, 376, 951, 529, 276, 899, 929, 265, 274, 91, 906, 814, 131, 340, 719, 84, 625, 658, 347, 63, 942, 642, 89, 140, 493, 487, 441, 813, 378, 196, 327, 494, 400, 789, 27, 524, 136, 847, 891, 409, 838, 144, 930, 551, 802, 505, 423, 407, 441, 264, 994, 116, 481, 839, 16, 119, 607, 65, 726, 168, 376, 815, 275, 466, 422, 414, 695, 336, 820, 51, 914, 982, 956, 152, 94, 387, 423, 231, 928, 330, 258, 270, 86, 867, 311, 71, 595, 298, 647, 349, 848, 855, 675, 567, 844, 850, 122, 616, 452, 1, 63, 521, 749, 11, 967, 246, 968, 266, 131, 577, 160, 642, 898, 758, 457, 70, 832, 265, 760, 421, 325, 633, 710, 732, 206, 770, 56, 553, 552, 500, 929, 412, 271, 450, 65, 38, 24, 518, 694, 954, 693, 299, 739, 525, 922, 818, 891, 338, 216, 879, 376, 74, 711, 98, 493, 631, 23, 442, 541, 352, 456, 758, 323, 636, 537, 222, 281, 91, 3, 185, 208, 661, 316, 163, 627, 831, 347, 25, 166, 80, 36, 543, 688, 280, 777, 598, 518, 605, 749, 248, 817, 807, 618, 783, 67, 468, 889, 678, 651, 898, 662, 4, 741, 912, 712, 530, 26, 614, 621, 174, 355, 680, 151, 934, 42, 341, 177, 716, 361, 430, 270, 697, 805, 410, 462, 21, 762, 245, 797, 624, 598, 358, 61, 951, 557, 669, 423, 175, 517, 904, 852, 263, 380, 939, 831, 928, 831, 924, 283, 49, 218, 349, 672, 600, 599, 987, 894, 577, 354, 900, 927, 598, 293, 246, 211, 134, 938, 703, 380, 367, 463, 740, 278, 721, 815, 756, 140, 980, 711, 410, 476, 753, 516, 68, 438, 763, 490, 357, 413, 76, 555, 279, 148, 882, 489, 187, 993, 957, 425, 219, 728, 188, 650, 444, 986, 893, 933, 59, 563, 763, 58, 472, 678, 343, 783, 5, 889, 942, 233, 229, 445, 762, 527, 692, 781, 763, 607, 870, 320, 551, 309, 722, 887, 116, 185, 151, 897, 767, 16, 994, 888},
{57, 668, 930, 143, 728, 759, 786, 876, 41, 569, 358, 952, 864, 805, 731, 114, 46, 67, 516, 539, 433, 367, 147, 874, 841, 636, 587, 976, 959, 894, 363, 337, 881, 729, 832, 482, 513, 757, 994, 723, 558, 999, 948, 279, 195, 473, 323, 146, 816, 868, 587, 105, 428, 856, 222, 868, 352, 437, 99, 719, 942, 761, 298, 941, 892, 17, 800, 965, 538, 286, 164, 419, 297, 797, 310, 247, 9, 592, 43, 600, 457, 430, 759, 481, 839, 748, 100, 28, 250, 524, 931, 864, 532, 219, 204, 178, 14, 357, 618, 44, 672, 903, 30, 59, 305, 288, 754, 510, 111, 877, 672, 175, 904, 666, 136, 306, 866, 222, 221, 560, 330, 238, 756, 377, 613, 576, 942, 842, 324, 337, 72, 145, 861, 340, 21, 539, 81, 362, 754, 147, 213, 626, 10, 48, 166, 322, 712, 803, 273, 398, 442, 35, 405, 464, 447, 663, 122, 410, 265, 184, 199, 259, 46, 703, 419, 860, 15, 497, 21, 250, 347, 513, 536, 890, 929, 633, 80, 557, 92, 442, 307, 335, 407, 956, 382, 32, 114, 52, 281, 357, 495, 283, 693, 347, 856, 451, 570, 873, 325, 506, 123, 541, 781, 339, 672, 907, 690, 586, 329, 780, 453, 847, 869, 263, 166, 577, 585, 358, 375, 512, 78, 173, 466, 682, 185, 211, 848, 948, 247, 803, 956, 516, 931, 454, 429, 77, 688, 775, 498, 57, 705, 726, 766, 965, 934, 76, 50, 966, 333, 345, 891, 630, 996, 30, 707, 265, 256, 549, 232, 376, 130, 199, 98, 546, 744, 359, 932, 503, 481, 378, 310, 195, 620, 797, 257, 469, 215, 69, 790, 328, 760, 521, 140, 832, 998, 70, 873, 388, 837, 110, 176, 566, 944, 98, 868, 625, 56, 545, 611, 562, 385, 567, 900, 906, 867, 639, 121, 422, 85, 928, 897, 567, 899, 443, 443, 859, 758, 207, 432, 257, 590, 896, 147, 294, 7, 645, 320, 989, 263, 244, 113, 470, 33, 583, 166, 856, 635, 976, 495, 192, 746, 972, 274, 110, 998, 334, 251, 488, 139, 179, 599, 559, 547, 627, 503, 806, 12, 954, 677, 519, 611, 899, 317, 60, 452, 733, 687, 725, 773, 698, 666, 606, 650, 636, 92, 964, 102, 987, 663, 506, 925, 846, 523, 345, 998, 443, 332, 616, 80, 221, 840, 435, 399, 684, 492, 379, 432, 321, 537, 713, 299, 188, 545, 368, 164, 219, 914, 48, 871, 903, 213, 935, 811, 747, 716, 154, 633, 863, 540, 531, 54, 88, 130, 238, 423, 279, 692, 542, 125, 821, 341, 294, 166, 904, 373, 714, 487, 861, 69, 745, 665, 691, 892, 507, 621, 900, 744, 395, 920, 999, 199, 946, 39},
{261, 282, 902, 682, 883, 415, 828, 901, 306, 587, 223, 270, 221, 695, 330, 830, 798, 264, 730, 861, 711, 431, 383, 798, 852, 158, 981, 752, 7, 131, 375, 199, 371, 698, 321, 326, 493, 506, 27, 459, 123, 185, 788, 721, 505, 574, 505, 821, 837, 468, 35, 432, 974, 824, 131, 136, 980, 676, 205, 331, 794, 752, 239, 797, 89, 941, 990, 856, 416, 306, 38, 181, 819, 274, 317, 348, 449, 53, 549, 184, 104, 27, 361, 768, 281, 114, 947, 754, 50, 626, 866, 303, 985, 165, 899, 495, 491, 486, 962, 575, 47, 62, 724, 735, 325, 285, 932, 464, 658, 874, 452, 652, 28, 37, 654, 759, 622, 412, 133, 338, 8, 620, 661, 152, 125, 495, 951, 893, 672, 707, 31, 288, 884, 572, 3, 940, 370, 251, 555, 879, 477, 447, 792, 142, 583, 969, 917, 113, 824, 184, 811, 613, 39, 499, 801, 831, 132, 484, 751, 326, 610, 137, 172, 250, 804, 101, 200, 864, 170, 362, 161, 167, 82, 59, 902, 165, 780, 539, 278, 934, 440, 772, 909, 81, 869, 507, 899, 658, 17, 333, 207, 902, 278, 955, 244, 370, 578, 517, 647, 185, 347, 778, 282, 167, 803, 341, 277, 504, 401, 828, 306, 548, 901, 181, 376, 996, 313, 734, 100, 442, 830, 785, 814, 806, 14, 739, 923, 658, 642, 710, 530, 795, 109, 691, 767, 758, 716, 989, 233, 129, 987, 658, 584, 575, 908, 97, 657, 603, 79, 799, 455, 881, 879, 480, 943, 835, 129, 460, 900, 929, 124, 237, 986, 660, 676, 628, 783, 867, 472, 728, 826, 364, 89, 212, 520, 259, 80, 172, 420, 614, 817, 780, 558, 196, 179, 529, 372, 198, 774, 729, 320, 748, 105, 228, 455, 921, 958, 16, 69, 731, 377, 524, 6, 310, 738, 905, 418, 39, 843, 551, 526, 941, 427, 404, 422, 19, 163, 369, 76, 552, 58, 300, 473, 634, 148, 537, 277, 257, 480, 987, 442, 410, 732, 51, 30, 511, 205, 510, 793, 376, 586, 652, 255, 679, 605, 476, 609, 526, 641, 844, 259, 309, 403, 804, 742, 509, 62, 150, 538, 484, 559, 446, 555, 548, 411, 412, 123, 874, 974, 526, 943, 827, 47, 189, 778, 334, 646, 572, 610, 836, 10, 553, 646, 165, 169, 763, 791, 398, 927, 832, 176, 419, 731, 369, 896, 391, 693, 98, 394, 839, 991, 800, 760, 374, 963, 455, 881, 306, 496, 963, 477, 636, 707, 436, 18, 904, 509, 823, 11, 381, 363, 36, 320, 982, 428, 372, 50, 44, 352, 207, 987, 796, 150, 405, 801, 992, 967, 849, 941, 623, 55, 809, 698, 79, 920, 616, 988, 441, 490, 258, 204, 788, 51, 53},
{898, 553, 906, 514, 193, 987, 981, 910, 503, 754, 30, 753, 607, 484, 730, 657, 147, 919, 727, 588, 335, 911, 546, 491, 57, 111, 453, 714, 537, 658, 499, 415, 478, 577, 419, 363, 861, 837, 582, 170, 653, 262, 886, 974, 266, 546, 357, 74, 970, 669, 224, 781, 395, 873, 399, 74, 876, 217, 630, 210, 727, 430, 71, 552, 371, 426, 647, 300, 944, 361, 394, 696, 173, 575, 892, 537, 233, 99, 34, 487, 897, 664, 615, 809, 464, 324, 665, 584, 805, 822, 6, 381, 485, 898, 250, 692, 977, 498, 375, 81, 946, 735, 980, 176, 985, 77, 626, 118, 397, 860, 923, 3, 397, 751, 630, 218, 588, 136, 617, 286, 683, 796, 433, 977, 208, 413, 164, 15, 389, 580, 415, 646, 488, 65, 559, 728, 609, 944, 807, 726, 401, 174, 308, 225, 142, 807, 210, 107, 403, 834, 564, 584, 872, 107, 1, 611, 923, 327, 350, 56, 233, 451, 787, 180, 61, 138, 586, 623, 818, 72, 292, 78, 204, 79, 987, 285, 489, 974, 309, 821, 511, 979, 67, 359, 539, 364, 639, 753, 477, 699, 781, 360, 773, 736, 146, 421, 37, 447, 589, 252, 559, 235, 308, 210, 901, 641, 926, 117, 199, 143, 948, 883, 113, 807, 391, 561, 198, 614, 995, 979, 982, 244, 136, 384, 261, 20, 451, 220, 916, 444, 249, 335, 106, 512, 943, 361, 794, 522, 144, 988, 409, 677, 515, 174, 887, 118, 218, 51, 486, 385, 537, 471, 506, 529, 313, 650, 528, 196, 905, 350, 840, 61, 736, 395, 475, 952, 891, 90, 702, 810, 864, 277, 859, 404, 316, 373, 124, 410, 600, 690, 212, 978, 925, 756, 13, 430, 210, 149, 839, 78, 121, 565, 339, 462, 291, 468, 83, 498, 431, 646, 535, 92, 910, 499, 366, 837, 377, 640, 97, 272, 173, 682, 633, 15, 621, 712, 561, 826, 736, 992, 991, 254, 551, 914, 339, 69, 55, 72, 662, 147, 674, 596, 107, 777, 350, 591, 542, 664, 498, 549, 700, 20, 608, 162, 993, 228, 758, 810, 739, 554, 91, 322, 660, 193, 167, 296, 422, 811, 157, 419, 418, 376, 52, 690, 206, 678, 389, 433, 775, 476, 552, 276, 325, 579, 325, 39, 314, 507, 249, 613, 363, 604, 277, 453, 999, 602, 381, 268, 323, 650, 47, 886, 443, 811, 51, 989, 910, 829, 522, 630, 448, 747, 39, 28, 990, 632, 447, 84, 422, 191, 153, 521, 417, 576, 874, 285, 489, 32, 231, 112, 688, 331, 76, 730, 374, 144, 209, 233, 157, 566, 922, 540, 413, 69, 885, 733, 724, 996, 13, 277, 244, 614, 293, 769, 243, 373, 63, 954, 35, 733, 796, 136, 82, 405, 330},
{47, 307, 298, 347, 465, 557, 851, 89, 550, 716, 629, 499, 975, 189, 269, 427, 391, 337, 899, 115, 678, 988, 157, 886, 733, 317, 766, 885, 239, 239, 485, 715, 995, 958, 854, 65, 903, 465, 844, 745, 609, 571, 946, 66, 172, 566, 708, 178, 835, 675, 1, 804, 145, 295, 545, 781, 189, 388, 352, 953, 721, 568, 762, 286, 262, 73, 715, 477, 64, 296, 732, 979, 1, 582, 848, 106, 15, 684, 378, 785, 747, 690, 998, 651, 393, 241, 63, 341, 581, 523, 483, 286, 339, 913, 768, 835, 769, 86, 25, 201, 128, 91, 804, 646, 376, 218, 704, 277, 154, 399, 531, 20, 334, 553, 643, 664, 973, 535, 842, 337, 521, 315, 777, 422, 616, 551, 386, 719, 652, 37, 339, 600, 573, 335, 772, 5, 31, 534, 908, 418, 131, 224, 247, 349, 459, 709, 150, 431, 3, 959, 572, 993, 870, 26, 585, 830, 409, 449, 116, 948, 468, 728, 42, 270, 36, 30, 354, 620, 431, 150, 609, 860, 562, 208, 321, 654, 486, 670, 240, 239, 669, 60, 701, 504, 895, 186, 348, 839, 705, 770, 582, 514, 660, 138, 18, 777, 438, 2, 89, 509, 995, 467, 689, 973, 578, 67, 402, 184, 372, 45, 439, 434, 975, 89, 882, 803, 672, 440, 202, 812, 693, 628, 303, 974, 279, 78, 567, 653, 362, 477, 421, 529, 122, 149, 3, 969, 501, 564, 380, 766, 2, 828, 617, 40, 734, 198, 680, 587, 740, 648, 834, 572, 68, 94, 700, 288, 946, 108, 579, 627, 665, 895, 21, 32, 463, 839, 848, 952, 785, 138, 23, 260, 785, 934, 784, 616, 818, 881, 514, 583, 1, 235, 593, 80, 589, 446, 360, 895, 69, 696, 945, 119, 360, 977, 359, 751, 462, 142, 710, 224, 201, 785, 863, 269, 494, 987, 135, 378, 657, 667, 865, 73, 877, 782, 839, 363, 892, 678, 547, 52, 306, 629, 235, 980, 729, 45, 536, 957, 121, 833, 230, 830, 265, 188, 340, 99, 354, 354, 339, 558, 982, 62, 720, 659, 713, 888, 556, 690, 549, 256, 969, 412, 286, 676, 608, 478, 703, 583, 353, 844, 37, 351, 446, 368, 928, 93, 182, 960, 387, 430, 91, 20, 828, 736, 276, 290, 427, 256, 206, 998, 376, 118, 788, 862, 568, 494, 989, 539, 479, 64, 639, 180, 677, 505, 269, 33, 513, 945, 48, 435, 997, 177, 898, 125, 772, 976, 888, 526, 417, 46, 833, 568, 992, 932, 880, 604, 866, 794, 484, 237, 393, 9, 827, 198, 908, 457, 219, 924, 891, 765, 412, 177, 819, 909, 131, 843, 440, 372, 272, 64, 713, 477, 425, 954, 633, 605, 353, 483, 507, 754, 45, 532, 43, 310, 777, 749},
{774, 944, 400, 596, 923, 279, 706, 872, 802, 328, 309, 122, 246, 756, 951, 504, 380, 673, 514, 159, 207, 28, 307, 580, 147, 671, 398, 259, 662, 793, 851, 690, 525, 749, 739, 855, 143, 297, 701, 451, 554, 810, 652, 496, 395, 404, 959, 374, 171, 759, 40, 60, 604, 88, 846, 36, 742, 883, 205, 368, 737, 39, 243, 535, 893, 430, 462, 818, 688, 347, 150, 538, 931, 942, 870, 952, 128, 468, 791, 395, 431, 214, 447, 88, 258, 921, 342, 138, 762, 923, 485, 415, 885, 447, 545, 346, 624, 286, 827, 212, 490, 551, 673, 168, 880, 306, 210, 49, 215, 675, 598, 8, 251, 468, 52, 150, 954, 421, 948, 656, 653, 933, 285, 298, 971, 558, 584, 881, 255, 587, 106, 922, 705, 758, 895, 738, 529, 518, 746, 272, 709, 270, 645, 137, 869, 749, 641, 812, 893, 985, 359, 421, 556, 322, 594, 247, 484, 616, 486, 990, 140, 47, 814, 797, 400, 920, 834, 221, 526, 511, 925, 655, 940, 202, 6, 217, 329, 185, 331, 721, 991, 529, 825, 159, 276, 683, 517, 64, 155, 390, 10, 260, 731, 542, 196, 703, 486, 727, 541, 618, 630, 76, 366, 642, 760, 573, 513, 461, 373, 149, 674, 284, 450, 734, 418, 573, 488, 948, 691, 614, 831, 236, 116, 906, 108, 93, 952, 818, 904, 480, 982, 670, 555, 641, 891, 204, 44, 327, 964, 380, 608, 858, 16, 592, 560, 557, 536, 680, 217, 804, 955, 562, 600, 421, 795, 928, 751, 80, 224, 192, 61, 228, 182, 814, 60, 314, 834, 195, 432, 193, 563, 552, 899, 229, 100, 601, 761, 982, 674, 393, 538, 351, 269, 362, 159, 684, 145, 493, 575, 722, 822, 542, 509, 144, 608, 394, 284, 166, 574, 977, 332, 877, 628, 647, 29, 963, 925, 554, 955, 29, 434, 348, 556, 13, 881, 495, 435, 61, 689, 588, 205, 799, 710, 309, 885, 155, 809, 114, 345, 764, 336, 280, 163, 508, 538, 696, 596, 909, 853, 663, 62, 3, 783, 995, 612, 700, 752, 965, 462, 943, 959, 915, 502, 624, 734, 954, 95, 822, 306, 749, 178, 967, 229, 310, 852, 322, 931, 609, 173, 655, 962, 32, 828, 3, 576, 928, 754, 223, 216, 30, 501, 401, 318, 38, 350, 269, 609, 519, 745, 474, 721, 107, 621, 949, 543, 125, 586, 614, 160, 947, 706, 373, 655, 832, 892, 678, 307, 465, 450, 946, 903, 194, 411, 749, 31, 771, 673, 36, 141, 417, 829, 580, 177, 228, 765, 497, 295, 239, 801, 925, 987, 943, 171, 926, 518, 735, 90, 230, 131, 484, 557, 708, 915, 451, 269, 366, 595, 832, 722, 185, 718, 491, 664, 384, 925, 849, 536},
{537, 20, 492, 438, 485, 539, 773, 473, 214, 422, 585, 12, 666, 120, 508, 533, 975, 231, 765, 249, 757, 315, 734, 598, 901, 38, 317, 72, 786, 239, 111, 540, 928, 812, 165, 430, 904, 503, 76, 606, 766, 883, 323, 817, 308, 780, 35, 904, 257, 388, 821, 736, 874, 125, 934, 35, 526, 85, 750, 812, 468, 548, 512, 155, 497, 628, 336, 460, 121, 580, 720, 49, 600, 668, 171, 294, 545, 815, 118, 984, 764, 392, 2, 706, 687, 666, 224, 422, 25, 371, 731, 275, 278, 827, 123, 868, 319, 821, 506, 948, 587, 182, 834, 424, 311, 650, 51, 164, 838, 132, 207, 834, 324, 894, 636, 340, 992, 610, 378, 90, 712, 409, 337, 406, 853, 238, 41, 870, 261, 939, 455, 307, 713, 385, 65, 398, 428, 916, 267, 645, 976, 113, 224, 483, 537, 602, 484, 901, 488, 237, 50, 830, 228, 447, 80, 898, 511, 8, 95, 894, 760, 770, 358, 432, 564, 128, 107, 836, 6, 122, 430, 261, 582, 119, 897, 390, 192, 954, 478, 857, 90, 258, 916, 682, 756, 452, 462, 621, 366, 575, 810, 306, 871, 632, 151, 454, 796, 663, 469, 206, 479, 100, 635, 899, 861, 262, 348, 164, 923, 39, 712, 250, 493, 889, 76, 954, 505, 336, 778, 309, 720, 975, 613, 447, 539, 922, 144, 732, 851, 255, 497, 228, 756, 714, 888, 126, 617, 410, 921, 526, 126, 757, 677, 318, 997, 185, 687, 507, 424, 443, 165, 493, 686, 476, 287, 224, 145, 906, 884, 103, 401, 135, 642, 783, 574, 970, 781, 734, 494, 453, 268, 528, 113, 250, 757, 369, 570, 599, 872, 279, 182, 276, 900, 689, 72, 468, 681, 948, 289, 763, 275, 376, 39, 693, 981, 64, 90, 367, 421, 568, 493, 814, 676, 16, 529, 560, 962, 904, 165, 824, 859, 66, 389, 483, 963, 829, 507, 599, 673, 430, 825, 882, 932, 85, 220, 939, 990, 975, 733, 507, 604, 570, 719, 217, 662, 346, 12, 558, 920, 986, 287, 858, 375, 548, 71, 84, 829, 945, 824, 166, 372, 315, 152, 405, 806, 479, 454, 193, 562, 794, 306, 948, 247, 98, 390, 689, 794, 355, 100, 104, 120, 863, 812, 334, 297, 571, 390, 954, 522, 110, 689, 749, 577, 679, 740, 16, 42, 772, 751, 40, 279, 65, 328, 317, 59, 480, 89, 836, 778, 567, 398, 469, 390, 841, 58, 91, 540, 670, 623, 558, 917, 612, 480, 104, 487, 868, 929, 992, 93, 645, 313, 531, 928, 760, 637, 659, 470, 827, 270, 345, 796, 669, 986, 10, 651, 408, 93, 1, 211, 853, 384, 924, 295, 398, 417, 292, 657, 587, 956, 494, 89, 982, 469, 632, 283, 679, 240, 49},
{809, 94, 17, 751, 81, 222, 81, 77, 893, 598, 309, 47, 997, 627, 93, 886, 140, 755, 943, 74, 210, 242, 244, 111, 445, 878, 878, 921, 109, 103, 405, 442, 730, 382, 40, 451, 754, 623, 944, 194, 426, 625, 241, 644, 818, 272, 706, 553, 192, 244, 355, 547, 288, 529, 937, 650, 732, 880, 965, 546, 447, 697, 17, 789, 886, 507, 938, 963, 909, 331, 53, 469, 359, 746, 628, 219, 714, 376, 687, 52, 751, 884, 679, 33, 766, 281, 690, 191, 785, 486, 616, 416, 129, 666, 172, 386, 860, 802, 701, 444, 942, 323, 495, 268, 343, 386, 736, 30, 996, 611, 227, 498, 228, 590, 804, 209, 209, 550, 700, 367, 72, 890, 119, 657, 543, 156, 29, 480, 341, 184, 463, 445, 137, 812, 648, 134, 565, 509, 923, 245, 642, 759, 723, 238, 943, 854, 864, 505, 76, 956, 994, 917, 304, 985, 354, 313, 665, 905, 903, 132, 547, 455, 510, 930, 495, 221, 78, 949, 980, 244, 457, 267, 939, 996, 502, 322, 185, 682, 860, 738, 184, 272, 968, 479, 304, 601, 241, 290, 322, 155, 623, 317, 905, 867, 532, 541, 823, 385, 701, 366, 805, 750, 580, 310, 382, 412, 788, 238, 502, 776, 548, 997, 412, 267, 170, 631, 118, 11, 430, 563, 709, 793, 120, 283, 980, 933, 133, 99, 63, 29, 206, 464, 256, 347, 833, 222, 816, 796, 935, 896, 265, 970, 564, 782, 659, 797, 334, 187, 378, 669, 240, 623, 171, 765, 283, 157, 645, 482, 577, 380, 874, 476, 699, 676, 537, 880, 616, 561, 834, 662, 891, 857, 460, 916, 807, 395, 56, 147, 671, 739, 921, 218, 857, 177, 213, 724, 55, 803, 514, 970, 801, 119, 470, 617, 628, 954, 83, 345, 8, 921, 423, 528, 930, 814, 745, 17, 66, 571, 417, 616, 406, 456, 651, 726, 773, 100, 774, 934, 780, 928, 616, 43, 670, 278, 697, 127, 937, 191, 43, 760, 836, 506, 857, 442, 621, 323, 754, 610, 901, 374, 953, 369, 556, 121, 650, 193, 477, 631, 751, 424, 809, 435, 323, 339, 472, 553, 370, 925, 481, 885, 26, 290, 990, 956, 844, 765, 52, 787, 640, 404, 774, 328, 231, 514, 974, 427, 547, 289, 402, 829, 764, 391, 338, 33, 524, 557, 686, 144, 853, 900, 681, 65, 83, 613, 992, 423, 923, 194, 304, 687, 885, 163, 429, 807, 374, 456, 634, 528, 130, 358, 114, 271, 180, 852, 513, 92, 55, 760, 977, 760, 898, 866, 445, 451, 954, 547, 813, 893, 106, 44, 176, 61, 349, 638, 518, 675, 526, 477, 163, 821, 211, 660, 753, 997, 380, 553, 778, 752, 375, 936, 458, 889, 720, 786, 318, 883, 553, 922, 938},
{766, 776, 774, 157, 237, 571, 759, 486, 169, 559, 584, 630, 2, 737, 874, 732, 721, 285, 112, 475, 277, 491, 811, 187, 304, 336, 233, 901, 981, 706, 700, 688, 677, 832, 768, 649, 813, 321, 59, 698, 39, 32, 596, 583, 347, 164, 838, 670, 270, 122, 433, 685, 658, 137, 901, 929, 830, 145, 108, 512, 71, 143, 348, 783, 572, 85, 362, 446, 893, 402, 368, 820, 938, 391, 488, 334, 269, 56, 553, 594, 290, 446, 353, 340, 479, 199, 830, 160, 356, 759, 604, 91, 346, 734, 457, 163, 38, 901, 118, 448, 565, 702, 741, 447, 59, 439, 977, 494, 103, 962, 423, 372, 198, 411, 546, 558, 15, 392, 884, 315, 96, 97, 427, 366, 295, 986, 622, 53, 867, 102, 362, 643, 630, 498, 649, 986, 15, 35, 370, 761, 155, 528, 758, 414, 377, 289, 679, 251, 589, 191, 822, 302, 105, 699, 254, 265, 364, 772, 555, 278, 896, 104, 952, 329, 587, 3, 405, 783, 988, 57, 645, 957, 990, 854, 519, 608, 628, 242, 814, 968, 186, 997, 938, 253, 36, 331, 453, 572, 876, 326, 464, 839, 72, 319, 316, 582, 866, 169, 858, 505, 113, 606, 803, 310, 984, 118, 314, 516, 875, 342, 59, 997, 298, 580, 367, 527, 160, 797, 52, 845, 205, 482, 670, 721, 775, 796, 719, 987, 304, 743, 321, 768, 109, 470, 450, 993, 114, 432, 647, 814, 107, 841, 472, 714, 41, 737, 644, 966, 623, 39, 946, 571, 190, 162, 482, 965, 405, 123, 803, 611, 880, 564, 756, 19, 177, 822, 641, 912, 994, 962, 413, 989, 583, 694, 221, 179, 505, 236, 520, 404, 961, 459, 374, 581, 803, 117, 320, 985, 196, 560, 359, 218, 699, 116, 214, 662, 130, 191, 972, 739, 189, 291, 646, 274, 284, 324, 976, 982, 363, 980, 16, 415, 863, 508, 625, 708, 75, 912, 82, 135, 297, 451, 353, 754, 217, 331, 512, 445, 784, 658, 920, 196, 735, 31, 517, 845, 607, 648, 573, 352, 726, 442, 729, 322, 183, 516, 10, 702, 256, 174, 771, 523, 95, 855, 212, 64, 726, 641, 174, 81, 596, 322, 433, 599, 950, 687, 580, 265, 323, 347, 908, 496, 254, 336, 404, 451, 201, 776, 74, 388, 240, 69, 368, 88, 790, 451, 344, 864, 88, 276, 611, 135, 550, 4, 770, 636, 475, 777, 271, 173, 769, 381, 100, 199, 502, 548, 729, 638, 139, 877, 64, 79, 233, 51, 947, 905, 223, 678, 924, 975, 711, 820, 558, 151, 297, 206, 595, 408, 559, 191, 648, 225, 305, 767, 883, 677, 539, 312, 407, 980, 921, 287, 645, 234, 670, 849, 57, 763, 945, 133, 916, 782, 783, 13, 759, 32, 537, 320, 317, 714},
{614, 802, 401, 294, 11, 596, 272, 673, 795, 633, 456, 843, 190, 186, 865, 373, 385, 705, 334, 975, 553, 216, 355, 970, 757, 796, 899, 668, 667, 86, 675, 585, 2, 342, 86, 903, 637, 301, 455, 803, 176, 968, 775, 114, 563, 548, 372, 238, 32, 862, 380, 451, 252, 27, 874, 490, 77, 624, 792, 822, 659, 297, 589, 74, 83, 504, 628, 923, 804, 181, 952, 160, 409, 154, 950, 709, 152, 478, 874, 201, 747, 306, 883, 8, 690, 507, 482, 785, 158, 8, 812, 252, 202, 760, 242, 288, 505, 312, 72, 516, 455, 172, 20, 157, 659, 577, 315, 326, 320, 788, 866, 926, 79, 754, 989, 945, 30, 840, 593, 267, 627, 318, 581, 96, 88, 505, 426, 677, 752, 735, 570, 322, 553, 864, 301, 632, 382, 608, 262, 451, 699, 836, 587, 284, 145, 893, 923, 859, 273, 93, 306, 35, 794, 842, 899, 500, 851, 239, 132, 570, 936, 553, 638, 906, 34, 777, 728, 191, 428, 274, 799, 611, 450, 609, 236, 508, 61, 870, 863, 707, 838, 113, 928, 850, 392, 81, 934, 501, 658, 58, 385, 960, 841, 464, 647, 452, 3, 873, 682, 809, 403, 186, 361, 881, 773, 49, 441, 608, 601, 32, 61, 132, 382, 674, 760, 363, 550, 301, 654, 150, 438, 401, 346, 540, 216, 459, 573, 697, 189, 337, 389, 678, 271, 717, 868, 638, 678, 646, 977, 33, 127, 911, 215, 19, 880, 873, 118, 585, 31, 336, 511, 899, 278, 263, 643, 990, 319, 425, 992, 136, 642, 586, 574, 307, 212, 429, 39, 565, 987, 263, 725, 577, 744, 471, 91, 324, 946, 772, 614, 608, 709, 643, 374, 230, 57, 647, 965, 513, 714, 20, 329, 450, 687, 551, 370, 868, 730, 745, 942, 907, 606, 223, 894, 549, 734, 588, 397, 135, 411, 297, 689, 585, 307, 599, 720, 527, 331, 280, 906, 621, 312, 777, 353, 212, 118, 191, 467, 800, 9, 884, 816, 978, 32, 641, 482, 175, 212, 797, 901, 989, 148, 381, 382, 950, 370, 54, 62, 217, 480, 562, 51, 170, 666, 478, 926, 817, 652, 261, 515, 649, 515, 30, 122, 910, 117, 8, 996, 261, 53, 277, 808, 445, 144, 360, 368, 890, 502, 135, 633, 143, 84, 780, 317, 649, 515, 761, 1, 688, 631, 341, 778, 176, 859, 762, 853, 663, 83, 21, 416, 112, 57, 92, 379, 893, 830, 621, 227, 73, 845, 293, 330, 194, 569, 565, 549, 712, 576, 987, 863, 705, 967, 99, 40, 697, 900, 734, 98, 279, 781, 669, 409, 681, 371, 679, 802, 629, 654, 495, 981, 617, 814, 612, 886, 191, 93, 596, 357, 970, 591, 355, 635, 904, 349, 812, 752, 689, 101, 595, 848, 385, 208},
{566, 799, 991, 156, 588, 317, 167, 903, 403, 867, 317, 75, 354, 314, 7, 678, 567, 206, 21, 619, 263, 18, 422, 686, 146, 444, 635, 137, 169, 58, 948, 263, 533, 278, 789, 505, 473, 587, 809, 786, 251, 368, 119, 772, 763, 586, 955, 609, 384, 757, 738, 582, 927, 291, 681, 811, 161, 370, 122, 749, 884, 950, 285, 769, 429, 377, 460, 614, 328, 320, 465, 751, 77, 486, 838, 23, 120, 572, 416, 59, 631, 462, 808, 54, 244, 559, 840, 435, 593, 417, 191, 855, 448, 587, 310, 728, 239, 675, 188, 201, 976, 139, 711, 65, 944, 279, 142, 634, 37, 220, 716, 986, 276, 400, 516, 311, 901, 247, 481, 336, 372, 254, 935, 902, 770, 664, 43, 837, 401, 275, 366, 172, 813, 709, 121, 635, 93, 631, 762, 94, 19, 993, 260, 268, 625, 370, 778, 622, 747, 848, 551, 821, 391, 741, 351, 475, 146, 583, 367, 249, 395, 508, 259, 543, 793, 105, 817, 91, 323, 288, 980, 797, 255, 557, 906, 87, 537, 231, 436, 794, 402, 925, 562, 422, 526, 576, 431, 152, 676, 753, 28, 587, 571, 907, 912, 610, 670, 432, 304, 103, 654, 129, 343, 532, 680, 707, 603, 572, 877, 492, 781, 962, 123, 350, 22, 841, 910, 203, 518, 610, 950, 156, 893, 209, 236, 421, 319, 364, 482, 706, 524, 958, 212, 698, 636, 207, 271, 560, 265, 686, 225, 157, 354, 640, 917, 806, 136, 160, 450, 961, 901, 983, 970, 150, 456, 713, 982, 878, 820, 160, 297, 967, 178, 393, 376, 983, 115, 832, 595, 984, 899, 359, 834, 810, 969, 10, 911, 534, 746, 283, 597, 493, 667, 471, 326, 535, 588, 711, 278, 705, 777, 640, 200, 654, 297, 655, 178, 444, 968, 756, 622, 287, 996, 881, 840, 961, 9, 463, 956, 328, 524, 638, 371, 395, 792, 189, 622, 859, 549, 830, 290, 892, 475, 901, 528, 228, 53, 843, 942, 288, 53, 141, 766, 147, 146, 537, 717, 634, 953, 404, 500, 783, 412, 134, 626, 120, 500, 279, 161, 978, 234, 985, 976, 206, 290, 911, 367, 44, 829, 470, 185, 3, 855, 698, 192, 799, 927, 495, 988, 206, 174, 284, 697, 795, 314, 347, 577, 131, 853, 266, 859, 867, 686, 882, 413, 658, 93, 181, 284, 471, 541, 296, 757, 130, 727, 667, 366, 472, 37, 945, 180, 502, 960, 900, 778, 304, 44, 986, 564, 307, 606, 663, 433, 676, 848, 791, 380, 223, 918, 678, 321, 269, 197, 399, 244, 297, 350, 50, 859, 69, 662, 486, 32, 134, 816, 938, 655, 288, 512, 584, 75, 594, 299, 829, 819, 44, 565, 548, 194, 797, 869, 5, 231, 204, 720, 503, 606, 493, 461, 87, 397, 101},
{121, 760, 957, 92, 987, 767, 795, 22, 171, 448, 17, 908, 612, 74, 857, 656, 844, 826, 790, 423, 283, 808, 970, 926, 15, 551, 79, 601, 832, 996, 161, 880, 735, 349, 748, 583, 253, 483, 328, 562, 704, 863, 238, 291, 961, 16, 211, 54, 356, 646, 56, 748, 139, 456, 437, 90, 282, 532, 312, 171, 485, 949, 342, 943, 961, 900, 534, 126, 959, 201, 415, 501, 975, 542, 293, 310, 345, 187, 547, 694, 188, 135, 413, 744, 721, 949, 457, 721, 591, 555, 772, 452, 172, 304, 942, 744, 774, 525, 987, 887, 307, 602, 859, 960, 213, 321, 471, 712, 447, 890, 965, 259, 854, 543, 653, 673, 531, 96, 27, 850, 692, 176, 387, 667, 94, 85, 825, 583, 289, 431, 788, 277, 885, 725, 972, 841, 455, 117, 58, 333, 982, 308, 671, 215, 548, 507, 19, 301, 445, 927, 803, 373, 88, 967, 433, 548, 877, 716, 19, 796, 650, 809, 326, 785, 462, 14, 690, 317, 246, 120, 862, 242, 296, 852, 901, 625, 645, 560, 536, 365, 128, 370, 839, 180, 347, 354, 693, 105, 800, 6, 266, 187, 155, 974, 658, 75, 15, 604, 932, 585, 573, 251, 985, 149, 213, 779, 105, 205, 460, 893, 598, 290, 693, 159, 576, 523, 673, 676, 841, 661, 260, 369, 828, 710, 637, 752, 722, 322, 21, 875, 221, 862, 63, 856, 841, 60, 136, 41, 369, 632, 252, 375, 799, 153, 615, 15, 83, 644, 725, 524, 98, 131, 499, 319, 535, 408, 95, 115, 790, 810, 992, 240, 542, 631, 419, 660, 424, 176, 392, 389, 93, 111, 477, 806, 17, 898, 889, 54, 541, 640, 679, 307, 114, 542, 581, 193, 89, 596, 569, 70, 178, 763, 261, 190, 461, 135, 122, 966, 833, 52, 835, 740, 916, 174, 296, 435, 743, 807, 445, 465, 991, 590, 551, 84, 129, 822, 614, 132, 613, 294, 278, 800, 202, 445, 16, 588, 488, 129, 364, 106, 43, 992, 694, 774, 899, 751, 328, 724, 672, 210, 802, 423, 317, 925, 759, 632, 354, 823, 218, 318, 456, 913, 992, 50, 388, 494, 589, 214, 689, 877, 245, 137, 918, 713, 667, 792, 941, 470, 653, 358, 528, 450, 988, 261, 483, 52, 945, 778, 630, 597, 259, 452, 243, 192, 669, 758, 930, 517, 992, 557, 554, 396, 215, 795, 493, 240, 275, 827, 468, 222, 74, 506, 152, 108, 696, 884, 32, 222, 42, 972, 312, 929, 812, 485, 177, 376, 326, 954, 400, 929, 701, 861, 109, 953, 764, 699, 484, 60, 458, 995, 348, 968, 609, 339, 830, 457, 693, 449, 814, 656, 584, 110, 421, 113, 393, 601, 589, 656, 179, 891, 699, 46, 693, 418, 278, 817, 372, 794, 66, 530, 423, 105, 78},
{801, 262, 788, 884, 188, 488, 269, 983, 917, 287, 608, 38, 980, 429, 448, 746, 854, 15, 431, 272, 419, 734, 111, 504, 250, 689, 53, 885, 526, 747, 512, 204, 254, 15, 559, 499, 366, 238, 994, 234, 529, 854, 736, 948, 179, 979, 617, 894, 354, 825, 689, 564, 436, 912, 209, 605, 755, 988, 428, 342, 350, 720, 230, 999, 857, 88, 396, 803, 655, 908, 27, 291, 852, 48, 184, 541, 700, 715, 379, 567, 287, 686, 916, 725, 153, 426, 413, 896, 579, 853, 55, 98, 878, 945, 279, 394, 954, 445, 591, 211, 780, 690, 187, 646, 204, 9, 887, 948, 659, 137, 660, 133, 968, 887, 637, 575, 389, 619, 144, 547, 453, 121, 693, 855, 970, 192, 302, 148, 753, 545, 750, 996, 241, 653, 634, 552, 228, 818, 111, 446, 321, 53, 278, 601, 582, 311, 41, 803, 69, 268, 94, 201, 592, 75, 438, 375, 118, 486, 411, 281, 644, 351, 803, 131, 281, 662, 40, 259, 523, 323, 762, 96, 381, 299, 421, 669, 113, 63, 615, 433, 808, 118, 16, 836, 942, 887, 659, 745, 350, 468, 301, 745, 752, 583, 270, 365, 100, 539, 999, 502, 508, 196, 978, 644, 491, 715, 380, 28, 530, 352, 38, 525, 759, 666, 765, 881, 678, 312, 211, 905, 387, 985, 604, 357, 753, 222, 768, 562, 325, 468, 706, 245, 548, 256, 941, 665, 39, 369, 527, 912, 227, 621, 311, 142, 700, 204, 603, 582, 950, 627, 875, 414, 44, 941, 496, 970, 928, 266, 781, 281, 721, 664, 868, 666, 327, 35, 958, 956, 179, 27, 554, 902, 701, 926, 150, 546, 375, 94, 728, 609, 878, 823, 68, 470, 879, 396, 549, 904, 474, 736, 668, 608, 159, 279, 878, 399, 467, 597, 788, 186, 105, 879, 946, 975, 491, 565, 622, 668, 87, 317, 81, 929, 803, 53, 780, 182, 106, 915, 846, 621, 67, 928, 924, 241, 832, 562, 232, 20, 400, 603, 212, 785, 582, 515, 718, 808, 360, 958, 33, 808, 534, 248, 379, 916, 783, 316, 790, 93, 738, 166, 331, 649, 665, 920, 700, 823, 721, 278, 196, 789, 494, 631, 861, 99, 728, 144, 396, 328, 729, 780, 65, 596, 907, 700, 419, 713, 338, 407, 104, 944, 999, 768, 416, 764, 576, 327, 558, 525, 310, 358, 731, 640, 422, 741, 293, 773, 34, 70, 242, 515, 365, 338, 163, 202, 226, 207, 615, 852, 448, 108, 658, 703, 972, 393, 838, 415, 758, 305, 486, 876, 550, 818, 654, 417, 784, 292, 314, 410, 647, 416, 746, 455, 313, 200, 177, 787, 929, 556, 795, 115, 801, 623, 276, 827, 502, 108, 769, 399, 389, 804, 165, 850, 79, 921, 65, 367, 980, 12, 558, 457, 903, 98, 351, 637},
{81, 77, 244, 220, 720, 584, 245, 645, 291, 283, 855, 790, 353, 980, 169, 786, 666, 79, 474, 199, 685, 582, 7, 873, 334, 314, 306, 353, 96, 45, 432, 512, 74, 951, 928, 28, 651, 203, 999, 317, 761, 475, 832, 847, 610, 923, 389, 105, 872, 438, 261, 30, 25, 33, 394, 455, 459, 863, 569, 925, 510, 677, 534, 287, 280, 460, 611, 611, 470, 690, 390, 348, 6, 845, 872, 59, 329, 795, 36, 757, 685, 250, 347, 645, 582, 731, 175, 993, 889, 396, 407, 36, 702, 629, 851, 980, 203, 520, 126, 696, 207, 227, 837, 163, 12, 737, 822, 561, 446, 747, 72, 706, 733, 201, 797, 624, 895, 526, 750, 234, 943, 783, 505, 475, 25, 719, 953, 728, 51, 211, 643, 44, 19, 681, 894, 506, 462, 880, 914, 84, 924, 823, 174, 393, 408, 796, 429, 152, 13, 65, 649, 514, 851, 352, 2, 107, 406, 180, 776, 328, 163, 903, 815, 410, 277, 645, 541, 810, 477, 340, 211, 726, 165, 808, 341, 922, 921, 117, 574, 604, 214, 455, 441, 761, 126, 451, 561, 266, 379, 122, 845, 43, 703, 639, 159, 753, 910, 721, 727, 806, 617, 703, 310, 970, 652, 327, 747, 483, 621, 825, 93, 386, 971, 179, 904, 727, 184, 270, 700, 404, 357, 268, 761, 657, 589, 764, 694, 688, 992, 58, 171, 390, 124, 527, 290, 957, 862, 189, 852, 28, 541, 417, 636, 5, 175, 248, 453, 481, 218, 901, 361, 980, 167, 921, 929, 774, 677, 802, 833, 203, 589, 136, 394, 734, 420, 24, 913, 7, 415, 995, 754, 199, 220, 729, 162, 410, 585, 620, 796, 143, 318, 667, 740, 614, 822, 189, 544, 370, 199, 590, 515, 605, 840, 803, 25, 657, 858, 9, 80, 383, 477, 980, 797, 505, 752, 694, 689, 576, 560, 858, 863, 879, 847, 675, 360, 475, 556, 456, 814, 593, 445, 657, 597, 741, 311, 566, 336, 233, 716, 94, 516, 322, 416, 112, 431, 750, 108, 343, 321, 333, 15, 42, 972, 138, 60, 646, 396, 930, 95, 111, 454, 819, 698, 851, 490, 446, 571, 119, 44, 655, 442, 123, 739, 297, 700, 441, 312, 705, 681, 63, 499, 449, 639, 927, 245, 139, 973, 975, 251, 440, 192, 517, 404, 949, 421, 224, 48, 256, 48, 133, 345, 356, 156, 871, 246, 542, 59, 699, 663, 41, 108, 98, 521, 965, 364, 361, 280, 614, 495, 53, 382, 705, 399, 238, 820, 965, 687, 153, 700, 364, 105, 293, 218, 365, 391, 986, 970, 820, 879, 150, 881, 498, 322, 309, 301, 782, 78, 938, 69, 797, 788, 827, 373, 57, 103, 509, 303, 728, 867, 731, 849, 829, 392, 583, 961, 926, 99, 175, 979, 447, 862, 681, 389, 323, 865},
{177, 385, 482, 589, 915, 168, 660, 897, 629, 263, 108, 795, 963, 378, 34, 563, 391, 499, 37, 434, 823, 991, 364, 885, 653, 425, 556, 926, 164, 747, 935, 447, 55, 208, 425, 845, 371, 114, 404, 621, 233, 117, 647, 608, 603, 226, 909, 796, 784, 148, 399, 469, 453, 885, 192, 521, 834, 744, 625, 359, 40, 6, 859, 755, 676, 613, 72, 398, 617, 96, 200, 633, 175, 855, 783, 89, 25, 668, 171, 434, 913, 921, 323, 538, 571, 673, 483, 676, 273, 110, 243, 224, 177, 314, 901, 513, 908, 610, 571, 117, 859, 871, 175, 852, 324, 328, 340, 226, 892, 398, 220, 882, 511, 967, 409, 833, 220, 384, 480, 924, 855, 128, 131, 7, 967, 775, 573, 789, 757, 391, 595, 160, 111, 939, 652, 68, 696, 638, 504, 733, 661, 455, 100, 16, 671, 87, 917, 281, 921, 837, 462, 987, 243, 793, 413, 529, 672, 554, 772, 562, 623, 590, 416, 184, 349, 954, 646, 809, 524, 718, 718, 573, 551, 966, 792, 365, 727, 625, 469, 386, 463, 692, 856, 236, 567, 683, 139, 91, 27, 233, 707, 522, 803, 797, 244, 814, 931, 398, 590, 472, 570, 155, 828, 738, 770, 122, 776, 547, 380, 609, 8, 322, 934, 733, 606, 429, 368, 414, 51, 883, 81, 417, 73, 136, 251, 321, 808, 358, 252, 499, 336, 683, 700, 267, 480, 279, 989, 407, 821, 955, 84, 134, 9, 272, 16, 423, 780, 719, 787, 335, 606, 634, 305, 591, 478, 954, 577, 204, 193, 772, 655, 399, 390, 929, 695, 425, 759, 578, 66, 84, 47, 689, 670, 999, 931, 21, 507, 689, 442, 894, 14, 483, 246, 516, 934, 229, 127, 174, 304, 479, 914, 877, 600, 575, 399, 426, 323, 631, 95, 885, 13, 924, 218, 743, 231, 604, 936, 791, 124, 973, 759, 879, 971, 783, 919, 299, 571, 147, 737, 444, 375, 689, 260, 825, 64, 505, 894, 241, 650, 344, 396, 92, 229, 190, 302, 437, 247, 75, 832, 342, 523, 521, 373, 478, 266, 494, 850, 752, 29, 109, 724, 926, 904, 644, 867, 814, 209, 589, 279, 664, 617, 550, 457, 758, 968, 864, 267, 104, 968, 659, 294, 303, 600, 930, 9, 371, 373, 913, 559, 299, 434, 686, 622, 609, 186, 439, 560, 55, 292, 319, 66, 831, 848, 95, 593, 395, 69, 134, 136, 21, 46, 363, 313, 766, 15, 939, 339, 369, 84, 326, 134, 917, 572, 365, 765, 857, 945, 711, 428, 981, 826, 694, 369, 598, 724, 252, 544, 990, 916, 118, 285, 600, 407, 835, 911, 132, 984, 477, 103, 900, 197, 203, 750, 299, 491, 895, 214, 234, 846, 158, 163, 728, 990, 893, 641, 658, 695, 551, 616, 786, 678, 854, 999, 815, 390, 509},
{97, 193, 316, 951, 467, 767, 459, 652, 443, 246, 346, 907, 927, 550, 245, 294, 638, 835, 293, 193, 666, 915, 854, 856, 76, 309, 772, 527, 273, 894, 120, 987, 69, 478, 694, 797, 638, 135, 759, 122, 124, 327, 496, 760, 195, 180, 195, 470, 745, 219, 479, 134, 792, 113, 747, 686, 797, 647, 589, 947, 859, 247, 144, 682, 679, 844, 219, 270, 732, 784, 570, 345, 854, 782, 859, 652, 312, 615, 703, 130, 477, 385, 696, 943, 429, 692, 445, 789, 161, 980, 471, 291, 576, 653, 303, 700, 144, 316, 187, 485, 884, 608, 640, 545, 367, 676, 505, 977, 504, 283, 233, 329, 255, 899, 903, 204, 779, 930, 860, 975, 193, 356, 929, 71, 853, 696, 871, 982, 989, 177, 132, 720, 613, 354, 937, 882, 833, 297, 506, 929, 108, 596, 459, 490, 520, 100, 530, 768, 832, 301, 316, 182, 965, 718, 122, 374, 537, 450, 928, 690, 275, 309, 110, 949, 440, 627, 841, 157, 885, 814, 38, 359, 993, 269, 275, 423, 559, 60, 391, 935, 604, 99, 357, 805, 240, 189, 576, 345, 943, 408, 992, 844, 40, 784, 235, 645, 746, 133, 584, 755, 887, 182, 723, 884, 245, 875, 46, 581, 593, 810, 846, 861, 623, 315, 824, 276, 362, 591, 163, 911, 155, 674, 901, 212, 17, 708, 463, 818, 893, 177, 944, 855, 454, 289, 235, 240, 84, 656, 111, 581, 105, 801, 210, 234, 673, 756, 172, 879, 408, 231, 318, 768, 577, 395, 938, 446, 587, 306, 633, 312, 583, 411, 188, 872, 225, 363, 141, 889, 49, 581, 544, 956, 428, 620, 414, 190, 779, 418, 27, 836, 584, 923, 518, 611, 739, 440, 217, 468, 992, 265, 749, 349, 475, 829, 263, 162, 879, 629, 9, 880, 421, 659, 156, 180, 574, 954, 918, 482, 450, 107, 15, 625, 863, 274, 5, 616, 342, 344, 307, 113, 787, 328, 518, 319, 49, 18, 238, 967, 411, 206, 746, 948, 900, 494, 746, 917, 321, 811, 875, 902, 164, 310, 824, 555, 889, 206, 755, 169, 566, 487, 117, 12, 554, 132, 136, 830, 716, 647, 1, 622, 648, 262, 206, 877, 534, 98, 613, 549, 541, 977, 532, 947, 111, 320, 525, 596, 117, 734, 709, 850, 619, 527, 22, 728, 853, 298, 321, 998, 192, 225, 194, 3, 23, 419, 33, 103, 890, 949, 305, 923, 787, 745, 901, 738, 180, 608, 134, 453, 211, 2, 240, 665, 538, 90, 244, 154, 437, 772, 606, 993, 102, 89, 410, 220, 590, 408, 760, 568, 488, 305, 626, 378, 127, 865, 668, 190, 201, 442, 429, 886, 686, 550, 879, 525, 243, 699, 485, 135, 706, 422, 867, 829, 848, 656, 637, 579, 305, 965, 162, 834, 473, 752, 892, 996, 219, 775, 350},
{429, 431, 761, 29, 292, 812, 851, 292, 978, 836, 964, 801, 370, 417, 867, 119, 413, 729, 920, 946, 775, 533, 993, 848, 435, 543, 28, 435, 123, 656, 57, 710, 465, 294, 298, 693, 526, 750, 89, 497, 194, 156, 13, 736, 542, 639, 579, 538, 836, 296, 195, 435, 343, 829, 961, 117, 480, 127, 73, 357, 126, 538, 153, 418, 108, 373, 949, 906, 977, 950, 180, 344, 188, 577, 174, 703, 707, 965, 218, 763, 918, 967, 116, 422, 358, 955, 557, 49, 515, 809, 340, 535, 410, 314, 336, 960, 136, 645, 401, 682, 897, 803, 59, 233, 312, 65, 917, 609, 933, 966, 223, 421, 1, 903, 883, 887, 387, 149, 592, 858, 628, 10, 360, 878, 678, 857, 925, 802, 715, 974, 993, 640, 967, 525, 202, 94, 978, 472, 34, 739, 189, 904, 654, 916, 994, 108, 765, 166, 687, 645, 153, 494, 804, 905, 543, 830, 446, 804, 747, 798, 72, 847, 854, 317, 134, 314, 409, 603, 647, 97, 72, 884, 475, 685, 286, 469, 667, 797, 836, 890, 659, 451, 8, 483, 533, 612, 246, 125, 801, 133, 854, 853, 405, 368, 261, 737, 676, 737, 829, 665, 53, 479, 21, 722, 221, 69, 942, 397, 193, 21, 983, 180, 544, 359, 258, 33, 664, 609, 76, 791, 421, 999, 493, 834, 60, 491, 266, 228, 533, 381, 240, 127, 686, 457, 245, 448, 916, 127, 93, 656, 944, 512, 145, 89, 373, 222, 239, 377, 515, 417, 452, 409, 830, 819, 314, 732, 947, 513, 570, 489, 880, 745, 576, 759, 531, 463, 673, 651, 999, 952, 689, 624, 537, 815, 812, 292, 172, 471, 677, 379, 227, 521, 418, 611, 917, 603, 843, 69, 211, 814, 644, 911, 955, 389, 706, 479, 37, 83, 227, 448, 999, 617, 260, 136, 120, 644, 779, 34, 408, 892, 95, 375, 371, 554, 695, 843, 694, 534, 198, 564, 144, 844, 99, 139, 130, 324, 466, 817, 360, 849, 507, 862, 916, 376, 249, 772, 925, 496, 132, 316, 688, 637, 456, 275, 804, 716, 998, 363, 313, 804, 45, 44, 363, 365, 311, 889, 237, 664, 927, 650, 836, 301, 731, 452, 866, 132, 605, 393, 58, 516, 501, 340, 717, 503, 77, 912, 778, 456, 592, 498, 324, 701, 827, 601, 223, 934, 292, 25, 147, 517, 937, 168, 720, 280, 913, 191, 964, 135, 627, 927, 541, 614, 560, 203, 487, 447, 776, 642, 293, 399, 102, 152, 192, 933, 222, 7, 489, 653, 808, 862, 592, 133, 888, 101, 159, 485, 303, 599, 464, 950, 53, 405, 610, 826, 766, 838, 737, 357, 280, 188, 703, 518, 570, 556, 55, 220, 858, 371, 253, 148, 761, 746, 239, 295, 751, 192, 431, 274, 67, 122, 145, 657, 394, 246, 258, 928, 364, 206},
{646, 78, 872, 741, 577, 565, 772, 277, 743, 118, 286, 58, 105, 812, 799, 865, 20, 972, 352, 919, 421, 710, 225, 759, 949, 315, 539, 793, 23, 305, 629, 736, 789, 674, 301, 312, 802, 746, 769, 470, 37, 111, 187, 839, 548, 296, 200, 317, 700, 210, 896, 474, 356, 875, 834, 948, 872, 663, 582, 105, 43, 59, 366, 26, 333, 957, 930, 326, 940, 651, 722, 384, 177, 938, 841, 314, 672, 247, 980, 428, 711, 276, 757, 977, 785, 409, 424, 689, 99, 87, 921, 982, 340, 376, 654, 772, 489, 251, 143, 471, 835, 425, 949, 118, 636, 180, 850, 562, 71, 296, 283, 319, 221, 56, 495, 959, 811, 319, 679, 929, 386, 817, 597, 264, 368, 144, 847, 974, 212, 415, 996, 800, 469, 198, 238, 621, 123, 88, 92, 61, 9, 298, 983, 725, 457, 699, 137, 83, 571, 30, 378, 190, 710, 398, 882, 357, 809, 808, 817, 371, 152, 115, 125, 78, 67, 762, 399, 957, 847, 669, 943, 843, 842, 823, 575, 61, 291, 518, 708, 113, 970, 681, 570, 446, 147, 387, 125, 22, 613, 496, 456, 131, 850, 340, 887, 376, 457, 499, 84, 799, 38, 24, 745, 909, 690, 892, 283, 738, 52, 126, 12, 143, 659, 689, 19, 259, 13, 316, 835, 414, 294, 373, 416, 801, 198, 180, 782, 928, 673, 554, 836, 190, 696, 917, 516, 890, 347, 971, 439, 735, 609, 837, 648, 70, 271, 536, 881, 154, 252, 899, 33, 367, 473, 262, 114, 494, 125, 837, 90, 226, 815, 264, 411, 543, 616, 626, 921, 954, 459, 206, 104, 410, 696, 315, 304, 314, 895, 833, 644, 251, 73, 491, 831, 925, 672, 502, 971, 333, 559, 904, 780, 363, 152, 834, 324, 904, 645, 12, 485, 972, 937, 909, 937, 572, 486, 460, 274, 796, 819, 614, 306, 144, 836, 793, 283, 139, 362, 70, 918, 142, 625, 882, 669, 641, 478, 269, 665, 450, 193, 856, 58, 927, 630, 310, 325, 797, 415, 564, 243, 161, 501, 890, 817, 31, 197, 816, 467, 89, 248, 939, 138, 389, 89, 947, 816, 415, 722, 539, 164, 246, 999, 447, 534, 575, 242, 532, 744, 997, 256, 697, 310, 247, 802, 455, 758, 95, 483, 84, 833, 183, 822, 696, 58, 383, 64, 979, 181, 191, 803, 18, 488, 248, 147, 408, 816, 356, 499, 838, 390, 234, 449, 362, 269, 814, 474, 929, 278, 132, 342, 89, 789, 684, 154, 404, 607, 708, 960, 824, 525, 975, 736, 152, 813, 562, 319, 782, 29, 556, 572, 120, 47, 788, 673, 381, 140, 516, 884, 69, 279, 432, 623, 8, 545, 504, 931, 715, 707, 922, 682, 819, 568, 874, 987, 393, 626, 947, 315, 368, 988, 718, 744, 635, 209, 479, 672, 48, 941, 124, 2},
{313, 849, 911, 519, 654, 201, 234, 760, 240, 19, 496, 81, 562, 387, 941, 84, 371, 787, 567, 814, 297, 914, 302, 328, 997, 453, 230, 330, 519, 724, 997, 622, 587, 946, 486, 949, 689, 90, 430, 704, 157, 941, 8, 653, 930, 73, 277, 466, 320, 838, 2, 390, 870, 402, 598, 836, 416, 64, 882, 994, 463, 844, 815, 859, 357, 338, 707, 202, 76, 368, 155, 81, 78, 859, 582, 493, 356, 633, 377, 597, 757, 564, 493, 765, 643, 628, 885, 401, 186, 900, 270, 55, 951, 498, 541, 867, 923, 778, 640, 817, 790, 855, 759, 504, 163, 638, 589, 492, 340, 144, 730, 320, 412, 800, 461, 333, 753, 827, 845, 443, 424, 521, 530, 764, 610, 492, 651, 826, 984, 448, 993, 730, 781, 127, 918, 178, 485, 375, 579, 785, 228, 153, 669, 460, 397, 493, 248, 914, 507, 1, 222, 587, 61, 558, 677, 319, 10, 281, 606, 173, 427, 637, 498, 653, 172, 852, 921, 443, 644, 388, 479, 458, 227, 337, 465, 685, 638, 11, 130, 775, 214, 885, 729, 836, 81, 333, 413, 180, 311, 237, 578, 81, 385, 681, 537, 717, 724, 388, 203, 567, 629, 473, 36, 491, 679, 400, 681, 610, 552, 699, 570, 884, 265, 167, 221, 986, 9, 735, 198, 649, 167, 185, 420, 197, 538, 143, 30, 359, 544, 618, 134, 794, 936, 395, 503, 964, 580, 229, 768, 156, 971, 698, 722, 430, 468, 949, 93, 299, 651, 343, 570, 694, 858, 175, 891, 615, 667, 249, 554, 458, 39, 45, 53, 630, 928, 634, 593, 505, 350, 296, 914, 150, 322, 992, 188, 578, 632, 469, 949, 414, 84, 790, 708, 27, 700, 515, 133, 115, 449, 572, 735, 723, 127, 127, 557, 396, 455, 387, 659, 985, 855, 316, 142, 192, 49, 727, 18, 490, 401, 58, 513, 528, 891, 396, 255, 420, 677, 50, 388, 638, 516, 969, 866, 332, 695, 876, 34, 14, 711, 810, 145, 479, 675, 142, 657, 749, 294, 768, 972, 584, 332, 363, 785, 803, 660, 31, 377, 296, 345, 683, 976, 23, 753, 766, 796, 819, 305, 693, 450, 56, 354, 521, 272, 456, 628, 925, 452, 525, 823, 507, 21, 44, 231, 812, 456, 46, 711, 241, 88, 537, 975, 164, 522, 981, 851, 187, 56, 213, 156, 460, 388, 38, 868, 340, 988, 236, 537, 518, 147, 54, 205, 922, 98, 587, 738, 328, 570, 615, 95, 623, 814, 573, 950, 108, 419, 339, 110, 43, 236, 420, 285, 879, 329, 960, 180, 290, 153, 686, 254, 122, 95, 566, 230, 891, 111, 474, 158, 293, 431, 601, 825, 440, 211, 697, 407, 280, 562, 506, 483, 665, 622, 870, 34, 70, 193, 105, 516, 846, 984, 173, 925, 196, 724, 89, 595, 748, 192, 772, 542, 768},
{769, 239, 378, 500, 233, 649, 134, 123, 318, 219, 890, 92, 72, 398, 749, 400, 121, 78, 528, 428, 751, 761, 521, 608, 145, 807, 827, 93, 205, 868, 24, 956, 150, 578, 416, 273, 448, 433, 719, 531, 747, 511, 763, 501, 142, 383, 747, 588, 515, 103, 646, 150, 714, 666, 594, 41, 989, 668, 463, 849, 498, 231, 402, 921, 630, 405, 792, 266, 605, 398, 942, 884, 82, 954, 846, 893, 473, 135, 516, 33, 322, 567, 701, 815, 316, 951, 310, 638, 517, 236, 469, 580, 911, 423, 970, 549, 678, 405, 781, 643, 455, 561, 420, 323, 444, 135, 250, 31, 419, 536, 177, 411, 568, 813, 784, 170, 629, 481, 712, 918, 958, 799, 925, 43, 29, 366, 605, 765, 331, 587, 570, 100, 814, 182, 503, 277, 823, 384, 753, 615, 920, 925, 191, 516, 150, 185, 364, 389, 45, 119, 247, 919, 118, 731, 948, 995, 685, 851, 93, 6, 600, 953, 998, 984, 884, 590, 423, 243, 301, 764, 357, 731, 644, 237, 319, 352, 867, 317, 647, 834, 216, 176, 528, 605, 218, 90, 869, 264, 720, 302, 717, 924, 144, 412, 546, 668, 816, 258, 684, 816, 518, 297, 79, 523, 356, 387, 826, 467, 707, 685, 199, 45, 248, 118, 362, 520, 4, 478, 661, 49, 984, 787, 93, 364, 167, 951, 575, 170, 533, 127, 712, 966, 407, 444, 13, 133, 553, 913, 945, 552, 387, 398, 798, 985, 146, 507, 18, 689, 86, 152, 612, 480, 593, 285, 244, 573, 590, 59, 815, 26, 792, 184, 748, 564, 157, 839, 628, 884, 344, 861, 579, 277, 132, 237, 562, 544, 500, 210, 744, 774, 541, 371, 259, 433, 429, 195, 942, 665, 455, 387, 109, 413, 505, 283, 994, 162, 445, 275, 318, 719, 578, 923, 260, 383, 717, 955, 302, 282, 435, 838, 546, 477, 762, 12, 555, 586, 903, 98, 287, 345, 592, 674, 392, 521, 305, 225, 11, 23, 904, 924, 208, 878, 226, 826, 362, 23, 752, 819, 143, 423, 798, 461, 199, 191, 555, 418, 305, 727, 953, 771, 536, 862, 525, 914, 941, 177, 363, 80, 356, 396, 851, 829, 200, 839, 9, 964, 552, 354, 218, 403, 384, 111, 601, 545, 522, 904, 488, 514, 838, 318, 304, 455, 195, 239, 635, 772, 859, 709, 457, 761, 491, 50, 256, 632, 279, 498, 277, 296, 503, 374, 251, 633, 616, 895, 715, 158, 900, 356, 492, 152, 935, 301, 965, 357, 345, 726, 573, 259, 816, 81, 289, 855, 918, 45, 968, 551, 66, 608, 143, 473, 852, 19, 179, 81, 84, 490, 813, 419, 55, 438, 704, 727, 4, 159, 996, 421, 227, 524, 919, 643, 35, 252, 48, 691, 578, 763, 193, 620, 615, 460, 860, 233, 404, 497, 811, 508, 300, 761, 561, 203, 57},
{845, 572, 31, 507, 225, 501, 337, 77, 750, 95, 626, 534, 807, 235, 670, 497, 192, 207, 163, 468, 819, 451, 35, 593, 883, 971, 658, 911, 977, 59, 80, 608, 983, 201, 354, 643, 241, 890, 806, 205, 647, 520, 757, 617, 826, 725, 840, 678, 445, 339, 529, 955, 108, 587, 948, 191, 960, 283, 306, 813, 310, 534, 528, 555, 122, 948, 848, 264, 171, 382, 51, 332, 59, 32, 107, 609, 5, 86, 716, 253, 544, 192, 74, 750, 843, 723, 792, 261, 308, 208, 542, 509, 575, 287, 376, 661, 792, 280, 131, 59, 256, 758, 579, 169, 138, 539, 178, 849, 29, 146, 365, 872, 448, 116, 388, 665, 320, 470, 516, 373, 644, 331, 328, 729, 233, 879, 502, 626, 449, 860, 139, 981, 325, 370, 198, 255, 315, 936, 83, 926, 196, 811, 719, 355, 330, 929, 784, 709, 543, 232, 846, 56, 416, 896, 281, 297, 634, 578, 791, 359, 366, 909, 239, 921, 358, 391, 273, 36, 514, 265, 956, 172, 287, 132, 161, 579, 105, 900, 23, 387, 416, 81, 170, 503, 643, 596, 723, 236, 520, 47, 330, 496, 795, 793, 582, 634, 290, 325, 244, 198, 620, 123, 632, 396, 686, 621, 345, 632, 210, 959, 296, 251, 172, 886, 669, 542, 4, 599, 974, 140, 764, 289, 857, 173, 365, 878, 710, 919, 75, 757, 386, 254, 193, 327, 551, 879, 758, 822, 271, 203, 630, 182, 459, 702, 62, 703, 716, 827, 177, 848, 892, 785, 376, 842, 465, 45, 738, 629, 412, 46, 991, 362, 824, 372, 429, 824, 938, 610, 466, 126, 610, 229, 181, 508, 512, 45, 285, 389, 504, 312, 438, 585, 674, 996, 739, 217, 551, 556, 512, 955, 832, 425, 208, 155, 795, 460, 389, 853, 222, 777, 244, 835, 285, 792, 32, 716, 331, 783, 177, 494, 938, 944, 491, 146, 893, 758, 120, 590, 14, 462, 373, 811, 823, 545, 584, 3, 157, 503, 449, 353, 696, 502, 120, 489, 285, 265, 485, 648, 648, 181, 642, 388, 774, 636, 570, 990, 797, 581, 402, 750, 707, 598, 501, 44, 555, 142, 741, 372, 158, 137, 29, 627, 446, 837, 88, 421, 752, 701, 10, 681, 286, 53, 840, 638, 3, 463, 768, 990, 850, 116, 94, 286, 139, 902, 219, 491, 373, 626, 361, 338, 442, 491, 549, 251, 513, 997, 729, 585, 299, 488, 512, 454, 636, 826, 118, 641, 489, 125, 638, 969, 526, 15, 569, 30, 422, 683, 900, 335, 898, 764, 752, 839, 318, 266, 652, 239, 317, 854, 88, 618, 586, 239, 870, 837, 393, 837, 197, 502, 863, 654, 30, 483, 357, 53, 569, 752, 471, 143, 123, 692, 392, 601, 655, 180, 269, 66, 665, 448, 322, 674, 785, 157, 149, 935, 709, 160, 532, 883, 604, 165, 653, 376},
{177, 857, 219, 484, 943, 100, 459, 145, 66, 470, 355, 636, 309, 789, 716, 985, 320, 248, 956, 105, 401, 409, 470, 329, 430, 680, 545, 26, 363, 791, 674, 112, 46, 478, 885, 661, 653, 794, 512, 238, 169, 461, 388, 256, 750, 220, 29, 440, 710, 422, 783, 417, 89, 968, 305, 582, 486, 312, 920, 641, 919, 394, 666, 641, 918, 322, 812, 896, 14, 69, 659, 922, 35, 693, 299, 404, 383, 411, 790, 250, 519, 336, 917, 995, 449, 880, 261, 166, 915, 596, 871, 723, 334, 710, 186, 408, 241, 745, 191, 580, 194, 362, 39, 177, 581, 28, 455, 511, 782, 184, 312, 970, 475, 347, 694, 76, 656, 964, 617, 4, 119, 927, 322, 435, 711, 338, 735, 477, 704, 520, 232, 540, 962, 262, 342, 220, 444, 8, 394, 672, 754, 7, 389, 480, 72, 464, 589, 731, 824, 375, 401, 869, 881, 23, 137, 909, 888, 113, 160, 745, 597, 120, 718, 657, 686, 698, 515, 539, 634, 958, 676, 73, 649, 989, 320, 809, 536, 260, 390, 118, 633, 425, 718, 32, 659, 650, 601, 303, 367, 737, 278, 400, 387, 256, 794, 733, 575, 382, 713, 158, 433, 333, 994, 664, 917, 147, 169, 225, 39, 29, 608, 959, 197, 649, 320, 146, 105, 601, 154, 95, 498, 662, 773, 620, 565, 663, 10, 599, 181, 500, 494, 154, 555, 313, 530, 93, 918, 900, 272, 563, 165, 206, 156, 290, 192, 123, 435, 405, 842, 909, 369, 641, 916, 217, 329, 545, 739, 137, 616, 486, 143, 659, 274, 432, 545, 659, 558, 873, 985, 830, 8, 813, 626, 18, 260, 437, 221, 30, 841, 934, 500, 333, 186, 975, 228, 986, 20, 473, 967, 816, 108, 634, 188, 75, 24, 748, 433, 804, 302, 821, 728, 685, 806, 950, 229, 403, 632, 268, 443, 479, 193, 433, 986, 71, 391, 860, 940, 446, 946, 324, 358, 726, 19, 158, 372, 14, 224, 971, 639, 207, 46, 724, 599, 634, 410, 16, 92, 166, 887, 676, 440, 570, 592, 75, 21, 739, 352, 90, 650, 835, 125, 346, 904, 557, 964, 162, 583, 492, 57, 613, 124, 947, 483, 269, 698, 773, 391, 453, 105, 394, 216, 319, 342, 716, 419, 648, 907, 596, 994, 41, 476, 292, 621, 75, 575, 706, 936, 106, 286, 210, 867, 590, 794, 580, 331, 222, 833, 877, 909, 692, 653, 114, 297, 609, 195, 206, 404, 956, 567, 13, 38, 475, 744, 233, 942, 540, 660, 558, 845, 415, 517, 747, 853, 253, 156, 225, 182, 854, 832, 408, 730, 978, 577, 206, 472, 953, 589, 23, 952, 461, 816, 199, 474, 591, 922, 978, 676, 725, 357, 28, 319, 349, 136, 9, 23, 648, 215, 923, 608, 617, 100, 769, 480, 458, 392, 561, 163, 242, 527, 912, 723, 177, 892},
{177, 299, 325, 804, 639, 370, 273, 613, 340, 740, 112, 318, 911, 390, 45, 636, 234, 527, 70, 429, 807, 167, 511, 749, 500, 539, 584, 545, 700, 450, 819, 235, 2, 496, 903, 947, 240, 679, 445, 217, 71, 544, 221, 305, 331, 426, 702, 140, 80, 795, 56, 58, 573, 936, 334, 160, 426, 438, 306, 89, 859, 18, 198, 509, 241, 266, 643, 350, 103, 747, 331, 137, 429, 762, 117, 399, 290, 762, 893, 159, 849, 77, 130, 983, 318, 92, 771, 949, 738, 533, 181, 130, 325, 788, 862, 892, 691, 508, 8, 394, 478, 847, 304, 116, 796, 815, 29, 214, 406, 138, 170, 743, 743, 940, 236, 517, 756, 348, 403, 485, 995, 754, 923, 45, 567, 178, 999, 595, 358, 553, 901, 26, 420, 268, 730, 508, 513, 559, 90, 166, 579, 597, 888, 710, 376, 224, 631, 97, 568, 350, 871, 635, 328, 955, 926, 730, 902, 477, 578, 641, 673, 143, 230, 189, 920, 452, 926, 373, 910, 577, 703, 228, 935, 947, 977, 49, 620, 631, 67, 345, 153, 435, 469, 483, 91, 833, 254, 982, 66, 929, 742, 899, 976, 664, 695, 512, 287, 383, 368, 815, 600, 721, 151, 921, 21, 453, 960, 573, 709, 600, 211, 381, 632, 645, 969, 300, 786, 99, 874, 112, 24, 58, 460, 356, 232, 626, 849, 243, 773, 225, 148, 573, 10, 913, 463, 565, 243, 785, 223, 827, 581, 398, 325, 375, 112, 986, 711, 753, 215, 891, 157, 818, 47, 237, 416, 648, 5, 396, 399, 431, 459, 207, 683, 861, 171, 182, 529, 773, 561, 227, 535, 236, 484, 485, 197, 364, 179, 947, 930, 381, 893, 454, 604, 316, 23, 517, 161, 841, 683, 180, 753, 363, 380, 765, 673, 465, 748, 959, 464, 200, 434, 121, 825, 510, 818, 120, 308, 308, 661, 257, 342, 296, 713, 45, 846, 699, 25, 705, 501, 454, 956, 251, 826, 249, 906, 927, 310, 74, 336, 626, 223, 538, 6, 567, 194, 298, 240, 212, 269, 399, 631, 899, 976, 164, 851, 115, 877, 573, 130, 686, 152, 740, 533, 433, 92, 155, 377, 948, 731, 877, 985, 304, 462, 767, 552, 376, 189, 92, 4, 433, 491, 624, 660, 376, 261, 409, 930, 717, 546, 915, 487, 997, 624, 217, 118, 833, 880, 188, 971, 206, 734, 406, 995, 900, 655, 649, 173, 269, 325, 375, 569, 571, 114, 569, 323, 221, 349, 689, 434, 185, 295, 207, 632, 654, 377, 441, 633, 823, 936, 931, 848, 328, 730, 619, 947, 400, 461, 475, 733, 327, 854, 34, 443, 138, 185, 485, 953, 757, 710, 602, 364, 45, 148, 799, 58, 227, 211, 37, 695, 268, 216, 129, 520, 589, 953, 248, 991, 414, 332, 64, 57, 691, 784, 5, 280, 221, 82, 592, 652, 118, 958, 660, 151, 187},
{952, 540, 27, 167, 911, 977, 336, 8, 937, 617, 485, 543, 917, 386, 382, 966, 379, 7, 366, 512, 154, 179, 233, 599, 192, 643, 535, 500, 936, 498, 820, 284, 865, 639, 645, 376, 147, 113, 977, 594, 889, 517, 106, 912, 126, 329, 264, 547, 492, 168, 975, 155, 549, 556, 548, 91, 839, 729, 243, 686, 48, 346, 399, 461, 97, 800, 176, 39, 614, 944, 653, 265, 976, 658, 739, 726, 30, 669, 712, 397, 695, 427, 240, 640, 873, 649, 417, 162, 461, 344, 694, 798, 841, 740, 576, 216, 892, 581, 607, 693, 431, 656, 486, 182, 23, 273, 119, 707, 234, 629, 12, 58, 770, 680, 735, 353, 373, 134, 73, 786, 33, 689, 94, 319, 843, 491, 619, 582, 781, 28, 468, 558, 787, 394, 409, 904, 824, 922, 980, 909, 956, 660, 198, 165, 113, 88, 711, 990, 902, 755, 142, 548, 745, 236, 181, 347, 640, 898, 528, 555, 58, 536, 899, 106, 833, 792, 140, 131, 451, 691, 946, 606, 736, 279, 841, 488, 852, 566, 778, 758, 446, 482, 238, 999, 935, 536, 741, 114, 213, 220, 454, 755, 524, 980, 969, 891, 831, 751, 401, 670, 798, 611, 652, 428, 391, 159, 87, 231, 212, 539, 852, 825, 892, 905, 814, 268, 257, 277, 356, 746, 518, 379, 354, 353, 481, 85, 239, 622, 549, 467, 401, 681, 388, 354, 129, 750, 225, 471, 932, 569, 127, 934, 347, 25, 50, 896, 263, 912, 112, 595, 412, 278, 323, 941, 904, 230, 963, 42, 582, 489, 902, 712, 550, 149, 419, 162, 429, 330, 487, 475, 773, 448, 106, 429, 613, 796, 917, 507, 258, 28, 324, 635, 351, 910, 286, 324, 663, 406, 232, 388, 253, 738, 857, 357, 440, 618, 73, 34, 512, 195, 81, 361, 185, 627, 346, 948, 636, 397, 210, 125, 362, 604, 70, 359, 180, 532, 292, 262, 482, 701, 513, 124, 201, 496, 567, 156, 64, 176, 62, 158, 371, 779, 519, 339, 956, 969, 99, 413, 972, 343, 123, 874, 866, 131, 49, 603, 223, 472, 36, 524, 162, 661, 984, 88, 641, 846, 775, 769, 289, 679, 433, 598, 411, 316, 135, 980, 381, 992, 281, 734, 947, 117, 356, 275, 898, 456, 916, 393, 125, 521, 850, 880, 371, 720, 20, 576, 868, 154, 458, 48, 585, 241, 620, 230, 82, 466, 535, 808, 790, 654, 342, 62, 96, 110, 385, 138, 763, 888, 958, 498, 109, 190, 798, 319, 801, 623, 671, 218, 328, 640, 717, 554, 994, 957, 741, 920, 757, 216, 315, 138, 341, 403, 376, 281, 851, 829, 979, 724, 544, 558, 17, 244, 482, 220, 994, 507, 580, 95, 417, 93, 930, 208, 931, 348, 356, 894, 156, 966, 864, 9, 12, 170, 48, 469, 488, 762, 494, 344, 971, 147, 954, 23, 668, 571, 387},
{352, 200, 510, 935, 758, 143, 107, 622, 519, 148, 8, 778, 313, 264, 780, 262, 132, 312, 327, 76, 411, 408, 353, 338, 986, 284, 22, 432, 119, 649, 343, 807, 334, 643, 758, 101, 303, 386, 614, 197, 315, 725, 914, 368, 155, 559, 820, 874, 361, 513, 849, 271, 904, 351, 631, 177, 305, 191, 376, 490, 76, 533, 910, 826, 187, 116, 261, 482, 903, 823, 287, 370, 996, 238, 778, 194, 772, 926, 777, 569, 838, 230, 631, 948, 790, 139, 394, 974, 258, 846, 795, 315, 865, 659, 914, 128, 713, 295, 73, 63, 892, 9, 240, 91, 447, 612, 414, 521, 912, 202, 11, 284, 221, 349, 317, 928, 370, 558, 414, 810, 670, 52, 833, 615, 814, 306, 352, 750, 266, 331, 8, 72, 672, 365, 399, 114, 108, 526, 773, 277, 942, 964, 231, 411, 58, 243, 634, 825, 942, 976, 431, 66, 931, 274, 660, 719, 455, 120, 881, 98, 753, 681, 609, 890, 890, 422, 129, 811, 301, 56, 222, 779, 338, 597, 433, 427, 434, 224, 992, 576, 608, 209, 398, 872, 943, 919, 967, 927, 636, 791, 383, 187, 910, 191, 362, 213, 856, 307, 99, 246, 811, 568, 67, 708, 409, 581, 86, 769, 860, 254, 321, 236, 302, 626, 983, 802, 325, 853, 122, 106, 877, 983, 770, 158, 803, 427, 159, 459, 210, 480, 409, 486, 702, 870, 334, 330, 288, 53, 563, 966, 403, 901, 155, 7, 98, 529, 313, 811, 858, 172, 568, 536, 976, 506, 48, 27, 599, 262, 20, 437, 840, 728, 961, 169, 399, 599, 802, 967, 151, 602, 827, 24, 79, 550, 985, 528, 742, 750, 968, 427, 191, 218, 483, 20, 864, 743, 620, 690, 573, 704, 50, 252, 56, 403, 82, 327, 11, 872, 272, 732, 710, 328, 366, 44, 489, 855, 843, 411, 459, 530, 239, 197, 785, 855, 679, 216, 714, 332, 854, 181, 374, 986, 665, 466, 1, 908, 392, 447, 903, 184, 103, 489, 939, 136, 376, 115, 708, 456, 143, 25, 984, 623, 608, 379, 119, 991, 755, 252, 295, 85, 886, 173, 536, 890, 51, 514, 328, 441, 930, 791, 529, 543, 986, 83, 54, 292, 199, 436, 423, 928, 768, 531, 865, 664, 513, 883, 137, 343, 502, 562, 578, 172, 683, 736, 244, 338, 880, 361, 115, 979, 528, 964, 498, 877, 975, 815, 747, 225, 3, 698, 315, 994, 424, 176, 1, 786, 334, 463, 947, 457, 555, 992, 597, 544, 350, 340, 341, 220, 281, 413, 33, 524, 425, 732, 907, 676, 765, 165, 668, 576, 719, 714, 706, 985, 214, 819, 440, 479, 640, 161, 777, 986, 300, 149, 552, 610, 690, 110, 595, 480, 48, 680, 767, 585, 147, 84, 910, 882, 218, 760, 156, 505, 230, 299, 441, 540, 492, 723, 422, 707, 692, 995, 167, 204, 22, 990},
{165, 164, 18, 333, 212, 446, 114, 190, 685, 921, 626, 557, 550, 43, 142, 608, 217, 235, 793, 398, 25, 573, 947, 591, 672, 274, 189, 911, 425, 776, 309, 686, 285, 562, 214, 210, 595, 418, 260, 639, 756, 534, 573, 798, 825, 700, 322, 560, 761, 861, 739, 469, 14, 476, 946, 849, 944, 434, 256, 965, 327, 785, 711, 706, 751, 150, 37, 861, 360, 494, 85, 318, 717, 898, 98, 385, 23, 42, 796, 44, 80, 399, 397, 112, 648, 576, 124, 185, 817, 759, 706, 770, 63, 996, 638, 174, 492, 936, 682, 585, 597, 660, 221, 261, 498, 460, 582, 890, 288, 791, 385, 31, 578, 84, 281, 945, 746, 849, 224, 335, 734, 252, 524, 189, 441, 380, 514, 466, 885, 527, 593, 358, 386, 118, 797, 661, 883, 371, 805, 202, 456, 357, 468, 262, 758, 929, 527, 743, 837, 870, 192, 117, 304, 709, 622, 276, 338, 882, 183, 60, 365, 290, 519, 589, 552, 871, 159, 535, 437, 476, 311, 89, 118, 229, 14, 723, 448, 524, 574, 804, 551, 30, 511, 719, 836, 339, 832, 469, 395, 444, 555, 627, 274, 795, 824, 131, 687, 557, 828, 627, 666, 560, 30, 18, 955, 618, 856, 366, 286, 83, 104, 595, 254, 981, 800, 236, 143, 621, 155, 31, 974, 273, 523, 392, 974, 481, 50, 528, 408, 529, 726, 576, 446, 830, 157, 223, 308, 358, 227, 83, 447, 750, 218, 617, 940, 363, 648, 452, 578, 424, 256, 745, 354, 365, 101, 723, 205, 587, 720, 526, 867, 192, 634, 324, 684, 655, 268, 20, 5, 49, 529, 929, 630, 155, 879, 547, 365, 741, 707, 880, 331, 368, 215, 855, 179, 272, 836, 983, 681, 329, 406, 823, 521, 582, 911, 776, 240, 560, 693, 379, 434, 451, 368, 601, 287, 205, 594, 608, 435, 829, 34, 50, 975, 440, 520, 258, 164, 125, 464, 628, 959, 323, 33, 80, 137, 202, 460, 716, 97, 461, 142, 734, 872, 132, 829, 154, 103, 147, 344, 207, 846, 941, 680, 38, 258, 857, 317, 944, 41, 901, 802, 557, 537, 268, 437, 167, 60, 103, 940, 963, 775, 156, 568, 58, 60, 360, 8, 977, 727, 861, 776, 808, 970, 699, 534, 257, 144, 184, 903, 697, 761, 949, 914, 709, 215, 866, 181, 676, 723, 218, 241, 784, 11, 62, 302, 176, 21, 256, 782, 24, 761, 418, 632, 71, 994, 993, 410, 494, 112, 689, 480, 26, 945, 757, 506, 913, 697, 6, 609, 673, 412, 946, 187, 556, 661, 208, 414, 332, 145, 180, 850, 272, 979, 877, 436, 217, 304, 188, 388, 194, 697, 968, 144, 363, 582, 970, 582, 984, 452, 182, 158, 702, 276, 983, 512, 676, 886, 472, 340, 10, 508, 382, 999, 461, 819, 342, 428, 674, 126, 582, 408, 997, 287, 806, 139, 510, 978},
{668, 348, 77, 818, 178, 917, 42, 590, 407, 74, 723, 562, 70, 753, 996, 450, 897, 640, 59, 110, 257, 747, 949, 416, 115, 110, 523, 161, 285, 348, 323, 962, 877, 363, 278, 361, 989, 436, 207, 272, 8, 315, 867, 946, 296, 686, 704, 398, 691, 584, 485, 52, 962, 870, 757, 991, 323, 922, 410, 788, 157, 46, 657, 330, 349, 946, 459, 474, 5, 788, 707, 639, 873, 984, 535, 605, 511, 903, 733, 942, 54, 70, 589, 450, 498, 293, 403, 923, 554, 403, 596, 372, 452, 892, 563, 547, 575, 827, 376, 246, 425, 874, 53, 426, 222, 101, 315, 577, 382, 523, 691, 164, 246, 42, 367, 199, 650, 463, 411, 174, 419, 835, 864, 641, 348, 181, 723, 700, 60, 50, 12, 554, 947, 988, 3, 42, 483, 167, 124, 790, 373, 887, 261, 204, 395, 681, 942, 5, 258, 971, 404, 482, 501, 61, 617, 892, 278, 334, 150, 697, 841, 124, 183, 434, 690, 624, 76, 90, 635, 638, 614, 738, 482, 687, 517, 96, 643, 182, 784, 376, 760, 978, 238, 501, 315, 575, 921, 292, 301, 654, 122, 712, 260, 434, 383, 674, 367, 531, 306, 124, 783, 638, 838, 391, 229, 333, 493, 835, 535, 779, 186, 850, 4, 904, 373, 192, 516, 870, 792, 409, 711, 316, 381, 893, 980, 886, 882, 680, 714, 33, 242, 664, 995, 922, 156, 369, 901, 577, 1, 707, 673, 29, 981, 477, 286, 363, 511, 450, 356, 22, 727, 19, 908, 617, 576, 310, 264, 817, 76, 579, 173, 578, 207, 462, 384, 95, 399, 361, 36, 386, 695, 862, 605, 333, 527, 549, 668, 342, 472, 6, 390, 529, 493, 141, 504, 472, 949, 148, 484, 143, 84, 575, 807, 556, 800, 5, 439, 76, 280, 792, 162, 61, 393, 141, 974, 722, 920, 583, 516, 644, 326, 551, 441, 409, 165, 337, 691, 163, 283, 169, 900, 763, 600, 554, 489, 352, 656, 289, 612, 815, 57, 744, 792, 612, 640, 147, 913, 881, 474, 551, 311, 567, 768, 135, 797, 537, 408, 250, 860, 333, 91, 403, 681, 217, 989, 946, 318, 659, 443, 824, 150, 259, 437, 124, 656, 379, 528, 575, 690, 429, 441, 365, 693, 839, 757, 796, 682, 236, 17, 403, 456, 237, 61, 102, 167, 584, 636, 827, 303, 38, 124, 901, 174, 567, 746, 80, 196, 904, 764, 785, 603, 444, 988, 603, 770, 804, 386, 454, 951, 117, 699, 242, 99, 235, 744, 941, 399, 639, 542, 273, 287, 724, 458, 104, 18, 575, 337, 675, 300, 54, 985, 629, 125, 246, 418, 494, 665, 857, 19, 46, 59, 170, 115, 425, 946, 541, 507, 466, 884, 252, 181, 973, 125, 692, 756, 66, 806, 514, 247, 805, 298, 390, 326, 521, 303, 422, 643, 151, 321, 126, 665, 910, 261, 108, 160, 375, 307, 223},
{710, 794, 619, 48, 587, 84, 109, 957, 887, 493, 291, 975, 114, 365, 194, 793, 239, 770, 399, 106, 912, 47, 548, 408, 615, 432, 76, 953, 502, 66, 505, 443, 161, 566, 357, 302, 713, 329, 644, 147, 532, 420, 932, 124, 333, 668, 161, 336, 558, 149, 789, 507, 779, 749, 330, 355, 315, 924, 989, 882, 371, 68, 994, 960, 802, 144, 131, 100, 24, 367, 182, 296, 685, 724, 235, 167, 473, 118, 276, 400, 819, 721, 108, 687, 332, 906, 375, 907, 501, 769, 417, 313, 587, 846, 725, 876, 653, 64, 24, 737, 346, 389, 385, 917, 415, 887, 324, 69, 933, 126, 513, 55, 826, 919, 641, 590, 661, 468, 914, 977, 574, 804, 907, 246, 855, 301, 754, 631, 6, 733, 189, 376, 965, 977, 568, 310, 867, 12, 787, 517, 855, 278, 979, 675, 468, 864, 975, 318, 588, 178, 758, 385, 235, 958, 604, 859, 297, 560, 111, 253, 863, 383, 120, 941, 981, 217, 362, 111, 517, 78, 750, 139, 288, 756, 408, 813, 785, 946, 891, 662, 633, 296, 595, 43, 362, 144, 950, 345, 237, 28, 914, 850, 636, 267, 171, 285, 896, 43, 649, 114, 676, 461, 215, 963, 591, 9, 890, 325, 292, 648, 512, 880, 247, 587, 544, 388, 139, 390, 650, 1, 239, 673, 731, 365, 80, 114, 330, 577, 471, 853, 736, 325, 249, 694, 639, 144, 103, 665, 874, 735, 537, 617, 692, 725, 276, 548, 954, 72, 439, 234, 875, 573, 394, 579, 198, 566, 490, 825, 234, 971, 821, 365, 781, 272, 732, 477, 770, 915, 51, 706, 399, 867, 923, 994, 670, 721, 690, 890, 464, 889, 451, 355, 720, 844, 853, 731, 876, 297, 149, 425, 444, 497, 768, 718, 474, 563, 477, 941, 730, 820, 708, 886, 582, 709, 780, 990, 961, 694, 560, 273, 294, 966, 562, 467, 915, 478, 617, 68, 376, 971, 9, 263, 965, 223, 432, 834, 954, 699, 190, 165, 347, 164, 810, 400, 362, 540, 673, 705, 502, 552, 272, 280, 801, 194, 485, 450, 781, 106, 569, 767, 713, 323, 640, 461, 16, 649, 86, 22, 1, 134, 684, 930, 736, 738, 212, 796, 488, 298, 975, 211, 47, 308, 10, 657, 286, 910, 640, 744, 439, 668, 764, 797, 927, 403, 425, 619, 48, 374, 253, 830, 444, 577, 893, 741, 136, 784, 800, 159, 755, 204, 686, 867, 812, 363, 471, 789, 36, 841, 784, 982, 265, 11, 963, 706, 945, 822, 994, 758, 18, 982, 54, 163, 856, 562, 120, 84, 990, 208, 657, 513, 498, 636, 496, 908, 376, 33, 848, 434, 635, 279, 889, 881, 603, 716, 420, 667, 693, 254, 927, 525, 907, 214, 805, 627, 470, 251, 538, 938, 282, 47, 467, 502, 329, 250, 103, 259, 817, 324, 49, 701, 509, 519, 277, 377, 719, 206, 915, 773, 463},
{178, 687, 642, 495, 353, 872, 146, 357, 493, 958, 544, 112, 184, 180, 305, 126, 348, 784, 611, 118, 967, 166, 287, 732, 545, 992, 14, 12, 70, 47, 580, 529, 877, 815, 606, 375, 892, 761, 806, 854, 139, 821, 411, 539, 318, 923, 802, 270, 507, 209, 755, 802, 691, 208, 952, 76, 963, 437, 581, 467, 664, 762, 899, 7, 688, 378, 640, 228, 431, 472, 976, 244, 596, 459, 580, 658, 175, 163, 998, 140, 444, 509, 147, 836, 753, 67, 258, 311, 185, 250, 4, 371, 951, 146, 845, 970, 493, 651, 892, 341, 828, 97, 654, 674, 641, 598, 142, 931, 973, 111, 690, 848, 146, 595, 738, 773, 715, 744, 541, 760, 864, 436, 474, 263, 589, 457, 126, 816, 471, 70, 885, 381, 607, 666, 77, 343, 477, 117, 990, 778, 146, 393, 384, 231, 233, 723, 51, 147, 476, 827, 153, 102, 582, 743, 846, 146, 272, 412, 588, 879, 93, 418, 221, 411, 610, 252, 575, 919, 43, 44, 847, 402, 297, 952, 465, 85, 587, 315, 499, 118, 546, 208, 932, 416, 778, 299, 270, 944, 322, 724, 12, 294, 369, 269, 522, 164, 898, 311, 684, 223, 577, 821, 513, 875, 427, 218, 619, 659, 224, 19, 969, 371, 577, 58, 946, 493, 938, 484, 79, 215, 531, 887, 154, 109, 348, 679, 644, 561, 907, 286, 494, 151, 422, 803, 388, 474, 392, 510, 498, 396, 408, 36, 644, 258, 140, 55, 464, 379, 28, 67, 926, 97, 250, 215, 42, 653, 859, 134, 114, 486, 852, 457, 263, 849, 87, 15, 229, 258, 620, 702, 640, 916, 36, 680, 74, 196, 753, 852, 192, 183, 176, 577, 180, 528, 728, 123, 517, 151, 515, 732, 836, 799, 376, 34, 267, 152, 554, 152, 168, 905, 84, 139, 638, 260, 247, 201, 505, 311, 164, 807, 754, 124, 612, 943, 550, 700, 708, 665, 31, 583, 954, 638, 47, 613, 457, 510, 909, 242, 845, 842, 968, 797, 504, 784, 562, 378, 303, 845, 457, 331, 870, 948, 424, 836, 847, 368, 983, 765, 264, 327, 684, 801, 342, 764, 502, 813, 562, 260, 80, 589, 821, 148, 546, 347, 828, 645, 621, 866, 708, 181, 542, 738, 905, 206, 106, 921, 111, 460, 800, 794, 891, 51, 527, 896, 114, 722, 939, 824, 48, 385, 754, 127, 251, 317, 721, 585, 939, 428, 91, 962, 581, 659, 546, 158, 863, 880, 567, 745, 37, 610, 80, 987, 850, 530, 101, 809, 974, 9, 774, 634, 812, 817, 860, 669, 115, 793, 242, 995, 621, 446, 473, 776, 275, 435, 749, 9, 177, 369, 916, 494, 592, 627, 300, 128, 755, 742, 227, 195, 146, 452, 48, 66, 206, 664, 375, 600, 166, 468, 38, 590, 778, 786, 924, 785, 252, 431, 507, 395, 646, 139, 340, 477, 270, 612, 224, 295, 415, 736, 60, 537},
{861, 902, 630, 291, 175, 805, 686, 789, 743, 186, 740, 252, 897, 717, 917, 574, 207, 661, 66, 253, 219, 948, 79, 674, 517, 92, 39, 818, 925, 665, 373, 515, 118, 175, 669, 609, 674, 748, 197, 778, 824, 500, 438, 311, 767, 352, 164, 818, 433, 790, 649, 747, 17, 326, 663, 540, 422, 397, 742, 486, 8, 79, 107, 615, 665, 242, 293, 462, 311, 720, 184, 199, 340, 676, 697, 379, 441, 557, 781, 530, 451, 957, 775, 915, 612, 286, 393, 56, 647, 293, 780, 7, 602, 453, 162, 994, 260, 674, 553, 708, 258, 20, 902, 457, 734, 950, 817, 435, 454, 116, 714, 542, 878, 841, 835, 566, 562, 310, 67, 32, 618, 859, 935, 710, 707, 979, 444, 597, 161, 337, 636, 140, 398, 615, 942, 654, 768, 29, 349, 154, 292, 139, 403, 251, 550, 977, 917, 418, 180, 566, 967, 656, 951, 620, 467, 515, 470, 602, 156, 520, 872, 329, 303, 254, 733, 993, 836, 766, 588, 846, 852, 494, 99, 723, 698, 604, 892, 324, 882, 504, 567, 384, 91, 300, 145, 922, 492, 127, 528, 303, 341, 621, 148, 174, 595, 278, 36, 258, 913, 73, 28, 570, 914, 527, 651, 868, 37, 339, 544, 83, 691, 809, 893, 977, 629, 567, 509, 567, 629, 503, 599, 634, 680, 390, 230, 266, 783, 431, 751, 478, 411, 828, 169, 855, 407, 523, 571, 631, 853, 475, 230, 763, 974, 172, 920, 421, 699, 598, 354, 690, 884, 558, 323, 512, 535, 59, 354, 561, 569, 454, 154, 285, 823, 193, 157, 351, 5, 280, 789, 540, 258, 49, 878, 504, 864, 424, 783, 867, 329, 617, 420, 890, 789, 122, 354, 246, 239, 966, 490, 519, 530, 374, 747, 724, 515, 410, 253, 450, 941, 710, 265, 259, 946, 106, 3, 633, 64, 793, 18, 29, 682, 739, 568, 609, 785, 149, 696, 826, 643, 176, 344, 295, 827, 526, 918, 355, 574, 229, 147, 300, 29, 674, 948, 493, 373, 939, 312, 494, 176, 542, 839, 894, 546, 21, 709, 762, 867, 173, 300, 466, 912, 334, 600, 184, 151, 823, 842, 592, 919, 584, 517, 56, 914, 60, 999, 154, 173, 581, 591, 506, 277, 864, 670, 708, 60, 756, 990, 619, 466, 21, 901, 379, 565, 789, 422, 311, 919, 282, 636, 311, 654, 523, 841, 383, 597, 118, 252, 767, 822, 538, 819, 486, 743, 38, 920, 190, 696, 39, 232, 931, 589, 763, 111, 818, 771, 954, 199, 575, 735, 783, 757, 696, 678, 382, 451, 215, 191, 45, 928, 139, 568, 780, 544, 213, 325, 807, 13, 10, 493, 554, 607, 314, 208, 928, 755, 367, 891, 921, 542, 842, 78, 103, 663, 334, 540, 211, 846, 755, 931, 814, 608, 261, 588, 986, 501, 248, 472, 43, 663, 512, 537, 636, 582, 874, 893, 959, 471, 469, 277, 324, 530},
{384, 260, 175, 710, 569, 543, 452, 254, 735, 449, 264, 443, 474, 413, 29, 489, 999, 907, 625, 406, 687, 689, 568, 96, 94, 705, 918, 539, 216, 307, 455, 210, 573, 623, 616, 309, 98, 107, 868, 434, 918, 270, 422, 621, 882, 598, 708, 488, 42, 457, 598, 380, 400, 574, 135, 997, 955, 332, 450, 984, 387, 689, 627, 341, 828, 993, 495, 328, 816, 365, 715, 746, 853, 586, 98, 84, 11, 637, 754, 37, 680, 119, 561, 346, 857, 805, 421, 729, 326, 475, 982, 907, 730, 999, 792, 394, 799, 375, 353, 744, 925, 32, 172, 452, 880, 270, 708, 492, 715, 137, 55, 848, 774, 393, 315, 974, 336, 469, 869, 264, 583, 486, 193, 83, 502, 476, 399, 794, 816, 906, 474, 551, 271, 500, 18, 277, 386, 127, 365, 441, 347, 229, 150, 688, 797, 853, 755, 368, 153, 855, 577, 286, 497, 258, 712, 793, 251, 66, 511, 426, 580, 56, 404, 906, 948, 203, 557, 224, 308, 419, 207, 926, 163, 247, 968, 492, 160, 976, 24, 842, 893, 442, 848, 627, 362, 362, 82, 926, 857, 714, 173, 372, 101, 73, 725, 541, 149, 217, 795, 627, 888, 623, 979, 62, 986, 638, 821, 740, 774, 214, 896, 954, 880, 121, 999, 952, 372, 431, 961, 313, 813, 915, 20, 914, 897, 693, 75, 407, 260, 122, 869, 464, 683, 442, 875, 43, 117, 138, 636, 80, 872, 318, 437, 779, 899, 683, 405, 693, 254, 804, 592, 316, 767, 500, 144, 781, 432, 81, 411, 584, 210, 103, 721, 915, 810, 69, 607, 361, 492, 185, 450, 194, 75, 916, 884, 440, 176, 550, 806, 232, 148, 409, 497, 675, 302, 683, 212, 644, 810, 35, 541, 434, 72, 313, 26, 176, 462, 699, 749, 276, 102, 591, 146, 926, 704, 340, 803, 886, 591, 753, 856, 337, 732, 901, 446, 595, 975, 354, 822, 863, 717, 435, 888, 1, 908, 471, 367, 509, 652, 298, 317, 523, 645, 464, 445, 654, 357, 696, 480, 920, 163, 169, 928, 848, 611, 53, 657, 87, 606, 626, 126, 486, 614, 945, 512, 665, 872, 728, 667, 562, 228, 604, 600, 286, 442, 370, 143, 909, 717, 193, 564, 477, 766, 994, 160, 609, 936, 388, 262, 559, 807, 626, 687, 494, 177, 964, 376, 50, 554, 765, 858, 923, 121, 399, 246, 408, 597, 755, 602, 248, 629, 716, 966, 154, 107, 486, 762, 654, 296, 75, 8, 657, 777, 539, 600, 302, 991, 822, 874, 168, 580, 155, 816, 930, 851, 19, 591, 862, 409, 618, 487, 375, 407, 653, 7, 984, 945, 933, 566, 641, 833, 56, 217, 358, 331, 902, 850, 498, 497, 232, 600, 832, 464, 965, 531, 733, 286, 115, 247, 462, 31, 424, 757, 516, 410, 969, 803, 472, 571, 899, 829, 537, 637, 444, 997, 307, 187, 153, 929, 851, 175, 991},
{362, 306, 701, 620, 536, 600, 641, 667, 930, 831, 383, 274, 906, 42, 852, 533, 924, 865, 526, 691, 281, 552, 366, 156, 697, 408, 506, 414, 702, 549, 992, 932, 459, 205, 123, 997, 585, 480, 737, 250, 550, 618, 313, 329, 447, 333, 879, 690, 281, 685, 575, 102, 431, 326, 130, 797, 615, 669, 677, 547, 518, 699, 97, 122, 200, 651, 488, 797, 579, 808, 506, 539, 534, 961, 8, 472, 656, 911, 875, 89, 273, 507, 936, 384, 116, 357, 617, 807, 957, 291, 350, 440, 576, 77, 755, 309, 674, 679, 337, 137, 743, 571, 741, 80, 418, 207, 653, 233, 560, 803, 40, 755, 183, 985, 747, 487, 305, 694, 480, 840, 47, 5, 724, 553, 541, 120, 551, 628, 771, 884, 90, 413, 53, 612, 107, 296, 675, 871, 348, 951, 175, 170, 196, 420, 822, 135, 796, 534, 149, 867, 960, 405, 778, 667, 87, 714, 403, 177, 819, 550, 450, 332, 391, 412, 908, 193, 393, 754, 800, 860, 259, 203, 996, 173, 867, 93, 433, 856, 487, 558, 282, 72, 769, 754, 330, 99, 591, 160, 597, 4, 347, 79, 265, 703, 713, 655, 69, 802, 16, 678, 644, 932, 41, 461, 739, 99, 588, 885, 820, 716, 71, 477, 376, 603, 220, 22, 119, 177, 304, 832, 364, 512, 308, 204, 128, 708, 204, 17, 817, 216, 778, 706, 993, 418, 490, 21, 324, 732, 473, 91, 760, 977, 114, 331, 940, 545, 603, 606, 10, 174, 482, 920, 366, 764, 463, 600, 336, 728, 780, 574, 401, 805, 870, 910, 406, 181, 460, 165, 119, 977, 37, 502, 639, 871, 225, 760, 374, 697, 823, 815, 775, 349, 113, 658, 551, 223, 596, 577, 840, 730, 485, 714, 697, 98, 127, 55, 292, 836, 19, 586, 430, 727, 256, 996, 350, 134, 28, 741, 266, 768, 272, 750, 798, 790, 701, 363, 266, 245, 209, 283, 764, 410, 79, 494, 146, 587, 530, 109, 251, 218, 864, 52, 238, 990, 893, 353, 440, 774, 384, 560, 948, 801, 961, 440, 37, 506, 302, 731, 620, 831, 464, 147, 175, 603, 892, 242, 923, 792, 967, 13, 649, 91, 982, 326, 187, 260, 61, 331, 503, 115, 867, 52, 302, 866, 904, 237, 227, 761, 809, 387, 105, 623, 377, 590, 105, 934, 923, 416, 372, 565, 235, 685, 458, 119, 559, 337, 825, 136, 35, 995, 827, 61, 487, 79, 798, 990, 742, 445, 344, 673, 492, 669, 450, 148, 256, 964, 821, 721, 186, 715, 674, 654, 289, 294, 332, 83, 142, 598, 97, 198, 331, 291, 289, 630, 661, 259, 812, 344, 627, 218, 306, 49, 778, 679, 744, 318, 399, 762, 347, 130, 309, 427, 780, 510, 757, 758, 944, 341, 50, 873, 76, 127, 16, 865, 501, 735, 443, 954, 167, 673, 348, 687, 938, 479, 295, 576, 796, 177, 33, 62, 233, 573, 386},
{41, 587, 348, 690, 520, 574, 550, 37, 100, 957, 80, 272, 152, 205, 208, 988, 497, 934, 988, 716, 355, 178, 676, 150, 117, 750, 896, 505, 225, 573, 370, 70, 103, 361, 454, 564, 552, 928, 626, 201, 554, 301, 305, 225, 684, 917, 78, 287, 670, 497, 494, 191, 732, 528, 68, 469, 451, 948, 25, 730, 855, 282, 647, 927, 318, 417, 750, 540, 623, 238, 966, 144, 272, 513, 23, 1, 681, 828, 105, 131, 445, 836, 778, 759, 224, 775, 634, 187, 170, 50, 980, 877, 992, 610, 488, 33, 915, 47, 597, 966, 809, 580, 910, 387, 718, 592, 540, 47, 865, 944, 550, 338, 955, 94, 244, 70, 266, 937, 2, 76, 591, 387, 804, 317, 560, 916, 343, 818, 246, 690, 859, 135, 256, 467, 456, 29, 705, 114, 626, 703, 541, 481, 212, 232, 734, 369, 791, 806, 717, 478, 784, 37, 313, 589, 152, 808, 75, 688, 674, 175, 643, 371, 212, 282, 194, 678, 228, 655, 560, 471, 138, 12, 919, 515, 698, 356, 194, 774, 759, 326, 495, 762, 170, 633, 998, 438, 542, 947, 587, 814, 869, 795, 529, 363, 700, 849, 197, 343, 690, 506, 548, 367, 881, 793, 693, 875, 960, 454, 354, 730, 105, 530, 461, 766, 766, 879, 428, 989, 856, 855, 887, 100, 387, 780, 770, 125, 550, 985, 698, 273, 617, 878, 536, 548, 748, 955, 862, 289, 65, 692, 829, 526, 838, 1, 559, 33, 691, 276, 787, 931, 84, 121, 952, 43, 160, 479, 286, 473, 230, 300, 753, 543, 802, 795, 913, 800, 75, 68, 808, 776, 228, 132, 58, 115, 708, 377, 208, 881, 907, 93, 214, 203, 318, 995, 651, 849, 256, 596, 899, 12, 753, 869, 51, 331, 30, 911, 764, 181, 272, 174, 619, 301, 91, 454, 777, 167, 138, 988, 931, 864, 823, 910, 589, 855, 3, 834, 687, 710, 771, 532, 451, 803, 245, 495, 174, 992, 288, 676, 282, 512, 693, 861, 668, 658, 247, 931, 766, 372, 406, 731, 254, 477, 124, 401, 587, 168, 433, 786, 804, 315, 992, 987, 152, 303, 749, 201, 118, 402, 234, 745, 440, 124, 762, 579, 434, 626, 23, 654, 820, 992, 85, 199, 830, 115, 868, 370, 961, 13, 500, 742, 238, 627, 793, 811, 187, 530, 289, 994, 49, 527, 914, 643, 910, 832, 337, 205, 577, 358, 505, 3, 982, 663, 723, 64, 839, 280, 829, 36, 94, 467, 688, 519, 407, 902, 293, 96, 579, 498, 171, 871, 317, 270, 723, 670, 234, 192, 337, 859, 270, 30, 819, 370, 26, 443, 782, 706, 620, 43, 80, 570, 788, 679, 322, 312, 876, 960, 755, 529, 286, 887, 553, 66, 719, 544, 625, 67, 237, 975, 615, 978, 765, 734, 658, 139, 186, 118, 816, 93, 557, 744, 841, 887, 314, 981, 61, 376, 545, 702, 745, 992, 566, 975, 250, 560},
{16, 610, 619, 424, 703, 914, 80, 629, 224, 626, 60, 901, 143, 751, 913, 909, 222, 959, 566, 671, 695, 257, 652, 977, 107, 887, 531, 408, 577, 814, 791, 837, 684, 660, 450, 344, 290, 695, 65, 74, 792, 320, 434, 933, 249, 487, 373, 937, 757, 704, 288, 668, 265, 550, 924, 583, 740, 147, 736, 838, 239, 653, 734, 887, 942, 646, 581, 352, 697, 190, 951, 590, 924, 533, 844, 921, 16, 602, 649, 688, 518, 891, 201, 224, 448, 933, 32, 300, 68, 257, 246, 835, 335, 619, 220, 459, 4, 367, 405, 57, 90, 947, 44, 541, 959, 982, 536, 932, 838, 805, 524, 278, 954, 40, 512, 64, 812, 622, 956, 572, 352, 661, 356, 38, 870, 643, 785, 570, 592, 802, 711, 564, 762, 939, 689, 687, 944, 531, 709, 640, 985, 791, 554, 559, 757, 231, 524, 335, 360, 336, 253, 120, 944, 240, 182, 20, 680, 632, 423, 256, 706, 691, 403, 132, 60, 541, 649, 755, 712, 579, 553, 795, 822, 42, 746, 505, 235, 321, 980, 888, 73, 915, 47, 134, 988, 329, 306, 393, 286, 905, 889, 579, 631, 368, 460, 90, 547, 772, 722, 261, 204, 716, 522, 953, 299, 876, 495, 831, 962, 395, 653, 819, 703, 187, 277, 716, 368, 991, 685, 150, 995, 862, 265, 883, 199, 845, 159, 991, 427, 793, 615, 566, 46, 611, 864, 446, 676, 757, 768, 883, 661, 475, 188, 247, 822, 74, 199, 574, 908, 539, 804, 267, 270, 911, 763, 297, 305, 146, 534, 34, 212, 634, 68, 208, 375, 160, 400, 604, 511, 836, 541, 762, 338, 481, 189, 357, 110, 963, 130, 960, 827, 302, 75, 548, 321, 650, 791, 488, 667, 886, 97, 712, 636, 191, 223, 456, 914, 880, 546, 235, 888, 762, 481, 704, 677, 435, 563, 684, 900, 320, 443, 868, 433, 648, 492, 730, 972, 291, 259, 669, 842, 112, 799, 734, 832, 463, 246, 136, 295, 561, 604, 339, 898, 727, 878, 715, 672, 922, 115, 649, 978, 550, 816, 474, 74, 257, 541, 827, 767, 333, 138, 856, 486, 374, 254, 181, 747, 43, 205, 695, 635, 150, 277, 90, 371, 773, 839, 443, 518, 799, 378, 346, 619, 116, 733, 824, 344, 634, 341, 728, 318, 495, 271, 367, 864, 70, 193, 916, 809, 851, 182, 519, 363, 905, 455, 58, 857, 339, 709, 315, 747, 149, 714, 575, 885, 898, 224, 785, 526, 890, 60, 48, 919, 889, 434, 579, 623, 22, 190, 251, 848, 136, 653, 500, 294, 792, 243, 678, 859, 66, 769, 912, 616, 489, 650, 133, 168, 815, 864, 230, 297, 753, 557, 226, 404, 450, 643, 936, 790, 312, 622, 851, 269, 699, 110, 854, 953, 123, 236, 979, 314, 849, 162, 604, 744, 234, 469, 346, 983, 680, 26, 484, 676, 844, 296, 873, 246, 606, 713, 203, 48, 361, 889, 900, 460},
{395, 926, 189, 155, 455, 49, 556, 323, 137, 79, 423, 2, 400, 52, 858, 18, 322, 369, 16, 226, 196, 489, 374, 917, 213, 72, 964, 239, 268, 876, 511, 473, 867, 486, 818, 821, 738, 95, 790, 133, 483, 196, 199, 648, 561, 966, 665, 415, 944, 591, 379, 500, 23, 508, 728, 499, 726, 814, 387, 135, 388, 672, 385, 937, 536, 551, 336, 64, 708, 617, 330, 369, 352, 356, 937, 716, 63, 812, 404, 330, 745, 427, 408, 747, 742, 533, 657, 531, 630, 18, 223, 443, 168, 532, 724, 228, 839, 888, 425, 504, 534, 959, 806, 517, 167, 506, 447, 656, 474, 808, 882, 713, 776, 891, 654, 858, 248, 457, 949, 127, 113, 293, 61, 74, 228, 97, 394, 884, 721, 135, 930, 852, 708, 102, 811, 652, 612, 881, 225, 215, 299, 632, 874, 363, 58, 776, 86, 568, 422, 40, 59, 319, 991, 605, 834, 649, 694, 857, 333, 283, 374, 925, 178, 731, 202, 434, 123, 422, 186, 437, 581, 582, 933, 515, 148, 213, 947, 402, 24, 904, 916, 310, 950, 676, 896, 323, 577, 270, 786, 868, 212, 552, 220, 265, 533, 751, 848, 788, 174, 277, 1, 534, 23, 772, 875, 579, 756, 877, 749, 611, 339, 891, 165, 221, 207, 155, 687, 535, 426, 526, 642, 719, 349, 744, 161, 146, 230, 834, 1, 713, 777, 953, 837, 876, 878, 264, 177, 432, 572, 450, 580, 16, 890, 494, 658, 549, 370, 203, 140, 605, 874, 757, 408, 743, 868, 252, 60, 422, 429, 790, 418, 5, 105, 205, 446, 693, 186, 890, 160, 4, 74, 542, 485, 494, 221, 824, 462, 55, 540, 123, 864, 986, 283, 571, 569, 490, 112, 479, 481, 935, 539, 144, 414, 483, 901, 781, 94, 174, 813, 970, 369, 639, 380, 577, 798, 941, 498, 586, 989, 877, 231, 671, 489, 276, 626, 599, 532, 436, 299, 756, 685, 881, 785, 206, 257, 24, 968, 663, 373, 151, 847, 705, 781, 438, 542, 339, 760, 261, 707, 780, 20, 194, 459, 922, 82, 526, 506, 516, 459, 953, 441, 516, 859, 435, 24, 403, 805, 830, 879, 541, 250, 39, 216, 806, 264, 850, 70, 761, 382, 615, 94, 652, 969, 121, 100, 368, 831, 806, 401, 298, 348, 525, 498, 707, 615, 621, 810, 848, 414, 970, 959, 548, 365, 13, 574, 392, 282, 508, 727, 974, 558, 923, 852, 890, 415, 868, 481, 276, 969, 11, 172, 735, 372, 212, 795, 462, 722, 439, 719, 172, 72, 148, 503, 242, 586, 449, 430, 118, 856, 326, 563, 595, 430, 606, 77, 83, 859, 142, 237, 301, 951, 916, 818, 199, 454, 363, 678, 23, 98, 229, 906, 590, 802, 732, 256, 834, 813, 605, 524, 570, 774, 835, 201, 278, 5, 583, 944, 407, 755, 795, 402, 333, 881, 496, 482, 648, 105, 590, 428, 900, 52, 301, 932, 235, 305, 40},
{129, 673, 23, 559, 463, 899, 44, 778, 371, 501, 12, 521, 163, 591, 775, 738, 759, 611, 188, 477, 704, 898, 508, 975, 422, 302, 766, 804, 826, 726, 854, 858, 180, 976, 578, 387, 597, 712, 601, 945, 697, 616, 26, 330, 661, 108, 331, 84, 446, 77, 553, 146, 926, 129, 846, 544, 544, 797, 45, 847, 403, 2, 443, 230, 832, 809, 774, 605, 151, 204, 275, 273, 738, 139, 823, 910, 533, 625, 345, 556, 791, 978, 88, 416, 249, 649, 890, 973, 845, 235, 294, 871, 832, 387, 180, 472, 351, 320, 644, 848, 600, 549, 986, 174, 267, 294, 3, 152, 229, 707, 272, 140, 427, 732, 759, 131, 433, 910, 831, 566, 456, 913, 768, 275, 454, 921, 931, 465, 567, 217, 9, 808, 307, 541, 214, 140, 811, 810, 845, 178, 995, 765, 367, 989, 624, 24, 66, 626, 159, 767, 358, 458, 746, 3, 56, 282, 848, 938, 221, 173, 846, 504, 776, 420, 395, 475, 694, 573, 437, 961, 430, 842, 574, 257, 208, 575, 901, 170, 966, 540, 529, 991, 998, 91, 738, 207, 817, 64, 152, 883, 374, 426, 320, 461, 500, 288, 881, 291, 390, 880, 786, 865, 998, 481, 138, 138, 464, 93, 869, 719, 58, 870, 821, 37, 697, 924, 765, 689, 778, 117, 621, 394, 909, 945, 352, 871, 174, 380, 59, 956, 686, 815, 363, 23, 569, 904, 485, 558, 919, 112, 329, 315, 995, 288, 495, 46, 649, 402, 386, 238, 965, 878, 459, 624, 193, 627, 267, 511, 289, 958, 119, 107, 858, 69, 69, 113, 801, 644, 484, 817, 740, 482, 619, 793, 178, 689, 450, 118, 384, 170, 542, 684, 199, 602, 871, 817, 323, 64, 322, 871, 131, 762, 41, 933, 773, 106, 988, 40, 108, 456, 763, 562, 997, 487, 221, 549, 669, 17, 523, 820, 98, 539, 970, 576, 828, 479, 395, 135, 284, 328, 929, 149, 335, 444, 711, 321, 853, 262, 429, 221, 24, 60, 655, 236, 436, 246, 599, 137, 377, 306, 250, 952, 238, 203, 867, 92, 723, 9, 455, 729, 338, 999, 133, 467, 688, 257, 315, 234, 279, 80, 202, 137, 813, 141, 385, 780, 498, 365, 306, 124, 477, 5, 868, 552, 334, 202, 794, 212, 514, 623, 189, 68, 671, 439, 329, 370, 178, 981, 956, 354, 449, 904, 161, 124, 344, 595, 519, 585, 587, 845, 326, 207, 95, 530, 570, 169, 82, 142, 845, 135, 79, 557, 513, 513, 291, 326, 243, 542, 294, 120, 543, 970, 689, 718, 987, 414, 191, 29, 652, 688, 598, 235, 678, 559, 226, 75, 11, 366, 675, 658, 51, 952, 283, 973, 437, 143, 168, 425, 148, 797, 586, 324, 913, 116, 209, 236, 232, 433, 8, 501, 351, 227, 679, 29, 263, 440, 918, 670, 59, 491, 393, 131, 46, 561, 971, 331, 634, 825, 633, 626, 345, 307, 457, 82, 222, 954, 311},
{245, 589, 345, 138, 527, 350, 136, 256, 325, 959, 53, 698, 496, 807, 684, 425, 651, 975, 837, 204, 8, 259, 549, 26, 214, 881, 81, 221, 652, 560, 419, 846, 195, 446, 840, 480, 318, 988, 98, 303, 728, 977, 650, 241, 436, 822, 143, 962, 238, 660, 52, 745, 175, 10, 994, 584, 400, 526, 702, 402, 249, 846, 99, 928, 41, 659, 187, 602, 283, 906, 746, 861, 503, 452, 889, 307, 892, 653, 633, 526, 302, 6, 541, 807, 917, 453, 359, 596, 101, 994, 307, 288, 477, 947, 377, 882, 330, 596, 521, 105, 776, 986, 114, 812, 975, 296, 440, 912, 843, 581, 254, 552, 364, 661, 626, 35, 606, 585, 434, 791, 966, 420, 812, 730, 14, 64, 821, 461, 545, 420, 390, 238, 93, 545, 330, 895, 188, 296, 841, 756, 151, 630, 448, 222, 20, 935, 778, 745, 521, 654, 928, 987, 656, 81, 404, 196, 547, 356, 817, 298, 697, 624, 546, 760, 713, 776, 577, 980, 801, 461, 607, 900, 124, 821, 268, 548, 153, 954, 46, 422, 721, 224, 45, 985, 373, 367, 264, 71, 957, 828, 459, 618, 164, 818, 995, 61, 805, 442, 286, 586, 250, 623, 581, 691, 324, 672, 882, 706, 405, 75, 712, 446, 169, 490, 305, 716, 633, 15, 550, 210, 755, 455, 685, 193, 778, 770, 286, 514, 969, 818, 587, 654, 143, 286, 546, 943, 628, 958, 346, 619, 890, 540, 226, 93, 99, 854, 623, 635, 302, 568, 633, 739, 761, 561, 667, 552, 175, 682, 53, 105, 232, 883, 11, 566, 920, 720, 80, 359, 537, 713, 608, 787, 160, 400, 359, 767, 644, 735, 635, 367, 869, 112, 575, 110, 45, 455, 447, 439, 376, 735, 814, 281, 299, 763, 438, 414, 753, 315, 660, 211, 734, 488, 776, 374, 417, 664, 636, 496, 706, 637, 267, 603, 976, 240, 858, 396, 106, 303, 826, 520, 635, 873, 15, 79, 48, 421, 302, 524, 699, 177, 22, 263, 897, 849, 629, 537, 987, 716, 995, 660, 77, 469, 568, 248, 198, 282, 373, 848, 313, 265, 502, 342, 526, 836, 318, 478, 278, 603, 34, 226, 106, 975, 764, 953, 755, 144, 378, 13, 31, 976, 711, 994, 808, 111, 780, 807, 65, 775, 640, 698, 585, 870, 454, 539, 286, 451, 151, 22, 703, 28, 767, 868, 259, 47, 205, 818, 398, 492, 681, 949, 507, 809, 564, 818, 842, 231, 666, 46, 349, 188, 302, 204, 324, 650, 583, 292, 403, 162, 500, 680, 205, 829, 287, 99, 297, 735, 491, 168, 839, 55, 906, 988, 394, 688, 255, 527, 874, 355, 82, 871, 588, 895, 846, 958, 605, 16, 603, 38, 460, 820, 952, 962, 325, 253, 229, 376, 351, 1, 949, 12, 823, 526, 643, 599, 152, 603, 81, 335, 477, 180, 804, 486, 863, 400, 595, 437, 607, 388, 169, 423, 225, 724, 990, 281, 15, 592, 530, 744},
{958, 260, 700, 243, 883, 898, 464, 660, 439, 726, 846, 259, 478, 144, 608, 782, 828, 807, 926, 801, 298, 579, 274, 518, 987, 895, 536, 569, 628, 383, 131, 853, 711, 488, 504, 54, 655, 462, 940, 295, 80, 319, 40, 363, 575, 245, 585, 984, 988, 551, 765, 948, 369, 422, 882, 269, 159, 624, 747, 142, 176, 850, 921, 229, 162, 568, 879, 623, 434, 62, 901, 951, 277, 892, 246, 243, 211, 105, 724, 548, 231, 363, 309, 818, 420, 649, 819, 209, 103, 249, 55, 812, 817, 593, 945, 792, 970, 886, 451, 37, 982, 600, 950, 737, 81, 625, 820, 768, 698, 287, 736, 304, 596, 498, 11, 936, 395, 22, 906, 416, 232, 200, 465, 254, 606, 534, 848, 631, 320, 187, 558, 464, 596, 794, 226, 5, 102, 16, 803, 73, 586, 868, 127, 853, 314, 211, 811, 225, 265, 713, 350, 721, 348, 275, 99, 617, 494, 107, 577, 23, 556, 663, 113, 590, 405, 179, 413, 176, 479, 800, 93, 787, 286, 252, 523, 215, 77, 472, 621, 48, 961, 935, 380, 166, 232, 186, 984, 392, 572, 698, 335, 699, 100, 312, 705, 286, 940, 363, 9, 836, 96, 111, 862, 539, 942, 234, 250, 717, 572, 952, 49, 516, 564, 819, 139, 709, 484, 338, 105, 522, 567, 346, 773, 374, 598, 529, 959, 539, 938, 533, 831, 62, 44, 885, 227, 682, 556, 326, 153, 148, 257, 238, 386, 40, 735, 547, 815, 187, 616, 870, 690, 770, 595, 677, 449, 506, 326, 959, 142, 630, 405, 212, 787, 999, 339, 533, 167, 291, 354, 318, 674, 145, 387, 305, 836, 126, 401, 730, 34, 519, 392, 937, 762, 333, 153, 98, 523, 327, 839, 594, 15, 558, 922, 256, 881, 707, 890, 841, 693, 397, 413, 98, 180, 847, 297, 249, 998, 434, 687, 37, 493, 171, 418, 250, 926, 702, 365, 243, 709, 106, 884, 123, 944, 719, 209, 117, 479, 231, 712, 139, 269, 483, 532, 715, 531, 788, 927, 250, 597, 77, 107, 78, 853, 853, 983, 857, 419, 780, 484, 661, 474, 672, 540, 526, 260, 830, 927, 345, 819, 940, 392, 706, 475, 216, 355, 705, 912, 38, 603, 804, 464, 172, 990, 531, 876, 490, 153, 187, 398, 249, 636, 762, 488, 189, 633, 930, 852, 109, 748, 342, 778, 114, 804, 436, 932, 439, 738, 651, 907, 601, 61, 194, 768, 643, 175, 523, 806, 420, 105, 326, 488, 177, 817, 8, 328, 168, 383, 704, 42, 698, 658, 367, 883, 764, 81, 746, 470, 415, 379, 2, 820, 67, 728, 207, 501, 273, 932, 261, 16, 856, 723, 562, 576, 886, 143, 352, 421, 742, 307, 805, 674, 345, 515, 794, 571, 732, 819, 742, 543, 307, 683, 141, 256, 495, 255, 121, 206, 4, 164, 909, 885, 594, 440, 169, 853, 70, 340, 936, 254, 190, 378, 379, 482, 326, 863, 612, 704, 9, 558},
{622, 900, 925, 889, 704, 939, 571, 286, 915, 956, 490, 821, 722, 950, 970, 325, 438, 109, 152, 499, 33, 812, 700, 422, 611, 691, 624, 990, 184, 334, 327, 483, 344, 508, 712, 439, 146, 798, 995, 490, 754, 594, 898, 605, 421, 282, 70, 426, 969, 274, 902, 70, 231, 292, 396, 774, 823, 876, 354, 240, 248, 710, 988, 400, 534, 714, 982, 600, 555, 279, 131, 846, 703, 205, 963, 888, 825, 124, 184, 358, 207, 221, 304, 108, 888, 40, 605, 182, 820, 68, 442, 562, 175, 546, 951, 946, 649, 671, 416, 339, 727, 931, 898, 161, 707, 850, 285, 907, 735, 786, 520, 149, 223, 796, 665, 770, 816, 760, 377, 959, 493, 108, 550, 338, 475, 531, 161, 61, 386, 998, 788, 444, 475, 227, 921, 852, 814, 554, 881, 195, 57, 778, 156, 325, 754, 127, 982, 67, 224, 961, 260, 389, 662, 256, 257, 424, 548, 93, 131, 695, 345, 710, 971, 891, 204, 636, 924, 980, 644, 528, 992, 264, 185, 200, 251, 256, 491, 154, 557, 852, 911, 660, 315, 373, 181, 48, 476, 471, 689, 409, 780, 782, 938, 378, 163, 478, 721, 956, 375, 520, 120, 658, 133, 543, 632, 373, 504, 743, 610, 433, 858, 76, 714, 325, 389, 343, 282, 399, 142, 481, 349, 672, 514, 453, 555, 552, 381, 681, 310, 881, 381, 893, 432, 230, 386, 560, 909, 737, 859, 862, 563, 176, 637, 278, 192, 84, 637, 406, 175, 965, 133, 618, 631, 600, 556, 499, 966, 428, 202, 790, 42, 833, 834, 746, 273, 916, 964, 377, 654, 980, 466, 51, 109, 545, 293, 339, 570, 169, 290, 754, 897, 743, 444, 265, 53, 201, 532, 91, 992, 769, 749, 275, 348, 31, 811, 977, 301, 7, 10, 275, 13, 433, 885, 453, 604, 196, 484, 473, 938, 619, 675, 312, 412, 933, 622, 334, 546, 783, 306, 744, 412, 75, 934, 406, 834, 820, 210, 17, 867, 885, 640, 690, 268, 699, 552, 508, 540, 74, 995, 477, 687, 231, 491, 644, 955, 40, 437, 828, 714, 221, 56, 532, 121, 995, 943, 131, 349, 249, 654, 351, 995, 768, 257, 395, 720, 550, 476, 793, 322, 454, 850, 228, 202, 756, 321, 109, 637, 233, 807, 650, 339, 465, 615, 556, 546, 7, 979, 192, 300, 885, 634, 307, 593, 681, 92, 934, 817, 58, 205, 111, 312, 241, 676, 428, 805, 357, 410, 257, 287, 951, 979, 659, 128, 306, 50, 657, 306, 325, 247, 503, 225, 906, 901, 77, 936, 689, 15, 313, 535, 983, 33, 832, 113, 506, 319, 605, 950, 297, 680, 489, 556, 761, 957, 986, 729, 388, 492, 384, 121, 78, 198, 766, 602, 407, 120, 996, 389, 385, 579, 923, 4, 418, 453, 489, 103, 288, 706, 356, 663, 902, 7, 960, 263, 461, 174, 586, 980, 469, 227, 211, 973, 722, 15, 348, 925, 989, 752, 74, 374, 613},
{328, 738, 393, 666, 873, 611, 224, 629, 961, 847, 233, 754, 731, 727, 993, 438, 417, 54, 414, 934, 23, 997, 525, 714, 354, 400, 19, 579, 216, 767, 603, 455, 344, 739, 38, 388, 567, 819, 18, 878, 769, 559, 157, 143, 441, 157, 951, 275, 15, 680, 12, 563, 712, 710, 769, 428, 333, 231, 600, 504, 270, 17, 544, 460, 53, 603, 819, 981, 887, 168, 909, 228, 991, 284, 331, 765, 981, 578, 53, 608, 252, 762, 213, 536, 30, 386, 946, 322, 770, 929, 103, 819, 665, 517, 150, 127, 270, 639, 796, 223, 719, 729, 747, 508, 524, 372, 493, 678, 731, 187, 276, 231, 55, 165, 165, 697, 690, 349, 707, 364, 673, 233, 744, 881, 37, 249, 826, 634, 511, 967, 85, 158, 192, 444, 585, 237, 422, 233, 916, 494, 121, 194, 264, 454, 911, 128, 234, 74, 725, 672, 520, 692, 979, 655, 837, 175, 55, 258, 661, 822, 535, 961, 985, 234, 634, 202, 720, 908, 255, 75, 350, 837, 405, 235, 167, 706, 55, 324, 750, 632, 65, 902, 333, 541, 547, 854, 364, 386, 813, 682, 895, 427, 152, 925, 365, 688, 785, 191, 982, 536, 724, 910, 211, 39, 682, 21, 747, 396, 882, 175, 26, 293, 371, 15, 488, 406, 389, 256, 789, 727, 481, 30, 647, 555, 269, 34, 287, 191, 251, 483, 264, 453, 530, 798, 28, 88, 162, 239, 722, 19, 640, 403, 596, 194, 119, 638, 878, 464, 167, 924, 130, 518, 192, 708, 885, 425, 201, 512, 889, 725, 209, 876, 310, 348, 479, 340, 134, 835, 692, 711, 367, 505, 345, 846, 734, 202, 931, 514, 360, 243, 927, 687, 269, 2, 198, 802, 652, 339, 211, 76, 520, 733, 374, 988, 754, 566, 857, 430, 608, 440, 524, 792, 361, 837, 961, 517, 204, 675, 164, 217, 415, 538, 97, 506, 529, 427, 255, 103, 539, 918, 321, 610, 108, 496, 198, 591, 406, 648, 37, 251, 468, 71, 334, 29, 887, 900, 831, 910, 261, 481, 732, 119, 61, 585, 710, 96, 484, 370, 278, 384, 408, 589, 362, 108, 798, 775, 334, 209, 781, 127, 344, 522, 112, 854, 496, 54, 980, 588, 347, 562, 910, 249, 202, 604, 13, 476, 912, 800, 29, 310, 229, 931, 366, 305, 270, 853, 834, 700, 341, 953, 895, 570, 172, 992, 11, 81, 598, 751, 129, 164, 879, 861, 413, 891, 115, 536, 94, 828, 688, 716, 697, 457, 268, 323, 991, 534, 646, 856, 683, 907, 643, 618, 296, 874, 347, 194, 652, 646, 219, 651, 115, 859, 957, 112, 38, 363, 577, 971, 896, 704, 857, 59, 228, 823, 144, 455, 801, 492, 552, 538, 417, 924, 735, 18, 348, 812, 740, 434, 730, 761, 941, 584, 125, 740, 690, 834, 68, 676, 93, 130, 693, 780, 309, 787, 382, 551, 842, 821, 982, 619, 564, 662, 342, 811, 646, 577, 771, 819, 134, 44, 591},
{893, 629, 588, 87, 807, 447, 333, 55, 159, 638, 606, 600, 767, 496, 479, 13, 486, 484, 41, 360, 313, 77, 524, 882, 44, 642, 177, 430, 46, 334, 875, 922, 973, 942, 59, 277, 350, 782, 502, 324, 971, 9, 836, 983, 75, 171, 450, 379, 4, 464, 635, 620, 912, 849, 382, 703, 656, 185, 240, 360, 643, 536, 51, 697, 842, 112, 153, 165, 562, 616, 886, 728, 868, 388, 815, 125, 735, 375, 124, 716, 87, 851, 61, 790, 924, 815, 144, 98, 626, 144, 75, 66, 315, 939, 952, 368, 951, 957, 443, 513, 389, 653, 989, 657, 210, 192, 63, 132, 570, 679, 659, 52, 643, 36, 982, 954, 511, 126, 299, 612, 513, 249, 463, 47, 108, 609, 481, 304, 313, 159, 819, 724, 637, 70, 834, 286, 226, 143, 835, 96, 611, 673, 817, 273, 91, 617, 804, 236, 217, 457, 108, 928, 346, 801, 505, 590, 453, 593, 541, 489, 702, 777, 646, 443, 335, 430, 773, 82, 527, 611, 597, 508, 765, 704, 87, 443, 174, 559, 450, 10, 950, 561, 30, 990, 758, 633, 708, 805, 465, 284, 797, 460, 107, 25, 160, 399, 333, 870, 546, 563, 870, 190, 732, 915, 737, 864, 55, 373, 46, 579, 385, 387, 219, 66, 412, 389, 381, 309, 326, 908, 480, 36, 665, 502, 423, 285, 127, 511, 162, 525, 593, 300, 169, 534, 514, 837, 197, 234, 29, 432, 587, 792, 900, 933, 605, 527, 424, 987, 477, 593, 951, 758, 855, 26, 563, 90, 412, 383, 745, 236, 143, 200, 608, 169, 755, 440, 316, 922, 198, 368, 909, 622, 987, 616, 639, 642, 504, 732, 242, 804, 827, 150, 357, 647, 11, 370, 404, 578, 895, 107, 797, 161, 736, 301, 356, 862, 895, 182, 82, 362, 848, 35, 313, 889, 565, 903, 375, 159, 99, 251, 480, 141, 873, 505, 586, 330, 721, 490, 347, 149, 210, 980, 56, 857, 159, 10, 724, 637, 552, 90, 39, 548, 230, 209, 940, 696, 847, 348, 41, 257, 598, 237, 880, 963, 100, 254, 294, 316, 664, 720, 794, 998, 901, 277, 931, 980, 230, 714, 41, 324, 393, 386, 665, 988, 561, 305, 203, 834, 889, 127, 5, 557, 712, 478, 243, 531, 675, 518, 335, 402, 210, 180, 634, 781, 682, 297, 384, 613, 482, 681, 626, 581, 58, 269, 906, 468, 625, 671, 93, 497, 856, 790, 603, 506, 386, 701, 614, 277, 340, 653, 608, 459, 468, 881, 742, 307, 625, 884, 69, 868, 521, 983, 609, 399, 671, 244, 637, 455, 432, 330, 305, 591, 844, 420, 913, 595, 783, 122, 716, 936, 541, 210, 147, 472, 580, 100, 726, 474, 616, 200, 743, 737, 624, 679, 979, 855, 602, 707, 382, 766, 141, 959, 611, 309, 955, 10, 786, 838, 514, 246, 638, 929, 823, 139, 458, 817, 264, 981, 925, 471, 57, 738, 922, 185, 606, 237, 905, 119, 478, 777, 280, 478},
{227, 142, 477, 943, 626, 122, 123, 492, 119, 923, 764, 990, 464, 248, 114, 809, 607, 414, 653, 213, 809, 600, 774, 504, 916, 211, 287, 706, 450, 381, 296, 86, 902, 847, 940, 955, 197, 779, 402, 32, 799, 647, 963, 45, 364, 915, 591, 478, 114, 136, 700, 36, 404, 15, 284, 908, 4, 172, 568, 985, 701, 583, 693, 914, 783, 174, 729, 293, 745, 607, 462, 374, 400, 107, 22, 341, 181, 42, 368, 611, 992, 103, 76, 640, 481, 108, 648, 385, 914, 879, 797, 932, 214, 175, 746, 784, 811, 339, 635, 955, 153, 237, 524, 351, 638, 990, 325, 830, 721, 261, 256, 36, 708, 102, 10, 281, 496, 922, 933, 792, 158, 713, 934, 133, 776, 499, 703, 915, 419, 916, 137, 814, 437, 942, 473, 433, 586, 37, 797, 799, 576, 399, 995, 158, 768, 616, 194, 211, 671, 689, 976, 207, 804, 344, 412, 40, 253, 538, 9, 94, 951, 325, 266, 678, 323, 542, 388, 702, 405, 332, 84, 744, 9, 179, 100, 745, 771, 937, 286, 375, 190, 351, 540, 524, 848, 666, 945, 476, 91, 248, 764, 82, 334, 572, 740, 612, 67, 541, 316, 80, 322, 871, 982, 505, 91, 183, 938, 968, 700, 532, 651, 350, 653, 326, 714, 304, 810, 970, 590, 394, 85, 138, 445, 277, 993, 238, 323, 502, 537, 529, 304, 792, 866, 350, 135, 643, 95, 57, 84, 681, 466, 655, 361, 536, 774, 533, 572, 874, 596, 373, 54, 874, 392, 106, 866, 624, 23, 715, 456, 875, 534, 824, 674, 104, 347, 223, 955, 75, 127, 970, 899, 961, 700, 214, 442, 603, 336, 663, 70, 676, 601, 492, 254, 385, 790, 518, 402, 779, 603, 705, 124, 966, 367, 367, 557, 281, 584, 3, 816, 944, 15, 323, 382, 892, 801, 882, 371, 181, 381, 697, 203, 862, 69, 373, 130, 283, 196, 549, 445, 515, 674, 946, 981, 37, 679, 870, 663, 824, 894, 811, 487, 762, 451, 704, 253, 605, 227, 465, 820, 801, 672, 677, 407, 148, 694, 665, 697, 574, 419, 754, 127, 388, 848, 213, 721, 935, 525, 212, 319, 938, 320, 185, 811, 779, 374, 101, 295, 558, 39, 512, 659, 91, 386, 725, 214, 905, 485, 52, 366, 911, 187, 915, 282, 646, 584, 548, 699, 925, 692, 80, 736, 255, 108, 122, 649, 617, 608, 352, 947, 78, 696, 184, 200, 212, 65, 320, 155, 518, 863, 922, 490, 856, 395, 111, 665, 391, 602, 755, 805, 745, 279, 866, 550, 805, 445, 385, 58, 150, 753, 865, 147, 144, 99, 363, 691, 557, 818, 809, 908, 976, 26, 305, 186, 379, 629, 59, 415, 987, 557, 140, 586, 927, 517, 820, 590, 249, 437, 57, 722, 633, 321, 563, 415, 423, 884, 22, 68, 693, 772, 185, 711, 724, 545, 35, 386, 614, 924, 695, 772, 727, 951, 494, 616, 367, 850, 435, 909, 343, 342, 338, 650, 85, 119},
{102, 201, 559, 966, 834, 948, 547, 767, 105, 8, 762, 235, 190, 150, 870, 774, 8, 45, 738, 312, 340, 119, 138, 257, 96, 69, 666, 51, 599, 97, 913, 896, 322, 473, 705, 336, 42, 883, 856, 314, 158, 352, 992, 245, 760, 226, 876, 401, 117, 819, 148, 602, 414, 842, 559, 826, 977, 656, 594, 816, 685, 753, 798, 224, 960, 559, 313, 98, 564, 847, 854, 786, 390, 564, 819, 429, 582, 858, 295, 261, 615, 437, 489, 894, 413, 178, 518, 583, 191, 75, 522, 241, 465, 182, 820, 637, 606, 236, 166, 770, 369, 990, 218, 878, 74, 134, 996, 942, 507, 847, 470, 812, 143, 697, 368, 287, 978, 534, 29, 563, 172, 561, 338, 500, 631, 500, 841, 20, 910, 73, 669, 825, 81, 635, 256, 300, 723, 868, 728, 104, 835, 861, 439, 527, 225, 833, 373, 76, 936, 957, 55, 140, 335, 472, 147, 829, 757, 313, 135, 244, 44, 18, 381, 486, 850, 521, 355, 728, 374, 802, 14, 498, 985, 991, 180, 149, 352, 722, 230, 170, 787, 6, 578, 594, 963, 808, 245, 255, 595, 902, 263, 57, 401, 243, 804, 766, 465, 305, 669, 11, 96, 349, 250, 338, 431, 564, 124, 213, 317, 355, 225, 762, 446, 868, 913, 948, 357, 993, 342, 573, 628, 657, 212, 220, 566, 237, 417, 768, 713, 302, 66, 608, 765, 701, 79, 62, 866, 203, 903, 802, 793, 547, 852, 252, 231, 741, 274, 34, 225, 904, 35, 584, 871, 759, 764, 895, 513, 137, 962, 226, 2, 492, 311, 305, 89, 486, 485, 201, 642, 133, 363, 568, 172, 909, 736, 404, 102, 446, 594, 818, 337, 147, 533, 572, 927, 118, 136, 284, 69, 328, 985, 297, 216, 759, 521, 149, 869, 670, 146, 475, 436, 744, 808, 983, 642, 62, 788, 779, 150, 305, 592, 984, 411, 584, 631, 36, 284, 556, 853, 511, 618, 281, 614, 608, 838, 392, 847, 658, 530, 711, 29, 159, 184, 401, 516, 861, 525, 97, 615, 396, 338, 258, 91, 750, 268, 119, 932, 673, 867, 243, 880, 767, 65, 643, 601, 549, 309, 827, 424, 273, 884, 960, 240, 680, 253, 498, 486, 117, 855, 302, 185, 651, 487, 242, 581, 945, 218, 715, 321, 609, 844, 379, 4, 697, 34, 579, 607, 816, 642, 655, 557, 46, 154, 318, 123, 482, 871, 774, 448, 779, 219, 118, 735, 489, 521, 806, 44, 341, 712, 685, 689, 880, 672, 131, 458, 31, 339, 361, 737, 208, 288, 854, 166, 604, 242, 136, 611, 126, 804, 870, 113, 255, 828, 358, 935, 820, 947, 989, 14, 217, 235, 208, 906, 162, 405, 815, 809, 476, 680, 212, 328, 664, 252, 302, 481, 342, 250, 368, 819, 648, 279, 140, 682, 840, 863, 675, 298, 193, 606, 437, 899, 193, 451, 116, 49, 755, 238, 336, 83, 858, 609, 392, 983, 567, 453, 508, 979, 873, 256, 979, 899, 171, 163, 705},
{601, 482, 51, 276, 838, 705, 651, 779, 547, 304, 602, 916, 865, 814, 318, 863, 143, 503, 735, 544, 858, 280, 341, 624, 583, 731, 326, 594, 132, 752, 391, 770, 560, 794, 494, 886, 987, 183, 794, 247, 64, 320, 150, 78, 508, 829, 786, 775, 324, 876, 180, 283, 199, 941, 760, 681, 99, 320, 789, 402, 282, 497, 641, 182, 756, 319, 763, 967, 751, 592, 792, 548, 877, 327, 671, 549, 503, 358, 90, 835, 310, 473, 292, 34, 125, 512, 67, 93, 907, 114, 760, 310, 192, 910, 263, 232, 394, 37, 222, 184, 126, 709, 188, 986, 61, 550, 7, 547, 972, 7, 524, 634, 262, 951, 598, 126, 670, 67, 485, 399, 912, 105, 903, 347, 634, 508, 450, 725, 438, 132, 613, 115, 750, 44, 295, 838, 893, 427, 654, 574, 113, 660, 41, 267, 204, 524, 16, 134, 65, 337, 731, 264, 729, 510, 459, 314, 406, 667, 673, 286, 625, 5, 892, 225, 829, 999, 444, 968, 686, 936, 414, 709, 911, 968, 296, 274, 644, 596, 309, 465, 270, 509, 870, 725, 124, 712, 514, 694, 684, 738, 353, 914, 710, 535, 311, 78, 283, 304, 467, 708, 839, 171, 285, 124, 129, 73, 955, 821, 465, 650, 797, 203, 772, 265, 436, 686, 714, 469, 516, 797, 615, 399, 786, 801, 979, 592, 746, 798, 167, 666, 438, 974, 167, 161, 610, 870, 515, 586, 244, 137, 44, 383, 314, 198, 609, 74, 790, 668, 903, 356, 51, 171, 171, 262, 324, 384, 1, 801, 289, 797, 326, 705, 660, 639, 463, 955, 473, 902, 287, 833, 744, 196, 637, 100, 413, 407, 663, 743, 740, 804, 77, 473, 860, 248, 244, 726, 799, 658, 626, 553, 70, 728, 312, 114, 910, 159, 316, 940, 342, 360, 849, 321, 459, 653, 13, 343, 827, 487, 195, 207, 401, 88, 45, 389, 113, 254, 998, 94, 203, 735, 255, 267, 351, 708, 541, 76, 923, 438, 179, 419, 963, 92, 773, 477, 98, 30, 322, 787, 178, 632, 628, 570, 311, 867, 733, 345, 922, 359, 464, 915, 608, 653, 330, 905, 852, 781, 705, 942, 133, 958, 685, 433, 513, 439, 15, 631, 643, 147, 239, 373, 929, 665, 588, 405, 798, 599, 126, 705, 124, 81, 392, 602, 351, 436, 97, 734, 337, 636, 433, 144, 659, 146, 219, 842, 987, 259, 390, 242, 142, 808, 334, 697, 603, 383, 186, 292, 588, 837, 459, 655, 285, 935, 347, 284, 455, 405, 609, 340, 445, 572, 204, 360, 553, 995, 728, 646, 848, 206, 300, 382, 762, 740, 705, 648, 227, 140, 557, 617, 675, 484, 660, 151, 986, 348, 58, 909, 309, 735, 980, 884, 773, 713, 504, 942, 281, 943, 795, 560, 921, 260, 702, 469, 95, 771, 860, 293, 52, 694, 643, 615, 434, 289, 45, 124, 338, 797, 18, 610, 592, 266, 892, 627, 214, 474, 242, 580, 464, 986, 952, 840, 542, 502, 339, 248, 703},
{266, 843, 19, 505, 298, 235, 659, 979, 591, 255, 925, 745, 226, 333, 300, 453, 561, 348, 678, 531, 277, 409, 221, 869, 58, 250, 362, 946, 148, 203, 19, 925, 815, 615, 918, 397, 36, 252, 810, 790, 321, 454, 33, 938, 688, 817, 537, 933, 220, 676, 20, 199, 517, 986, 236, 649, 646, 74, 938, 921, 819, 268, 122, 928, 166, 687, 425, 386, 418, 279, 609, 565, 245, 767, 992, 236, 260, 348, 627, 649, 433, 787, 763, 482, 779, 114, 845, 828, 669, 214, 901, 698, 79, 461, 667, 7, 405, 996, 207, 676, 219, 359, 120, 340, 463, 976, 627, 67, 183, 455, 981, 711, 796, 677, 664, 769, 303, 493, 781, 46, 595, 178, 926, 99, 204, 882, 518, 135, 401, 37, 298, 985, 570, 21, 224, 852, 155, 461, 481, 742, 277, 180, 721, 909, 366, 184, 883, 156, 696, 53, 210, 541, 815, 763, 104, 928, 218, 284, 520, 771, 477, 240, 490, 747, 301, 571, 163, 156, 577, 388, 524, 478, 589, 165, 536, 134, 971, 991, 3, 277, 904, 860, 899, 396, 267, 871, 267, 627, 166, 790, 983, 908, 358, 605, 967, 570, 527, 627, 337, 483, 314, 160, 98, 659, 295, 10, 790, 54, 774, 884, 282, 393, 427, 281, 640, 25, 301, 577, 567, 158, 645, 871, 415, 373, 346, 579, 199, 945, 493, 904, 342, 362, 769, 103, 120, 365, 857, 862, 878, 42, 78, 252, 179, 718, 777, 390, 909, 908, 810, 443, 299, 159, 583, 570, 498, 380, 757, 184, 69, 209, 666, 254, 271, 976, 915, 409, 529, 140, 425, 276, 832, 356, 383, 844, 108, 7, 206, 633, 798, 590, 599, 91, 974, 334, 264, 971, 327, 336, 609, 399, 273, 740, 69, 945, 251, 787, 292, 333, 990, 10, 488, 301, 177, 562, 706, 778, 451, 385, 661, 739, 171, 910, 3, 15, 649, 103, 609, 928, 885, 884, 552, 791, 947, 433, 878, 206, 241, 387, 250, 628, 846, 758, 780, 835, 38, 212, 131, 791, 824, 434, 8, 879, 92, 496, 762, 653, 497, 489, 703, 36, 778, 216, 57, 393, 566, 392, 265, 4, 77, 623, 451, 244, 309, 441, 434, 227, 496, 768, 619, 743, 588, 524, 490, 81, 490, 504, 148, 702, 635, 275, 576, 853, 216, 613, 844, 834, 69, 894, 477, 88, 760, 957, 615, 266, 917, 163, 381, 115, 198, 785, 75, 377, 612, 396, 451, 882, 81, 605, 327, 685, 200, 391, 228, 380, 242, 256, 575, 720, 254, 603, 191, 270, 11, 81, 514, 109, 237, 91, 9, 537, 205, 331, 649, 319, 286, 993, 295, 254, 529, 226, 988, 768, 672, 563, 906, 774, 217, 273, 782, 262, 418, 18, 95, 963, 49, 777, 224, 959, 807, 732, 62, 272, 109, 669, 301, 336, 779, 548, 707, 750, 878, 40, 217, 831, 450, 207, 640, 334, 548, 41, 55, 158, 239, 184, 735, 969, 651, 43, 615, 468, 344, 451, 794, 438, 380, 181},
{609, 840, 564, 914, 115, 927, 209, 700, 611, 781, 679, 575, 14, 714, 674, 739, 472, 721, 914, 656, 602, 513, 437, 442, 108, 691, 189, 236, 376, 346, 980, 544, 827, 641, 165, 146, 407, 998, 564, 839, 656, 121, 322, 152, 194, 403, 293, 153, 293, 263, 554, 699, 473, 525, 414, 726, 660, 283, 8, 727, 544, 594, 216, 159, 199, 955, 180, 334, 898, 750, 117, 297, 349, 768, 487, 299, 212, 448, 843, 718, 883, 717, 811, 751, 4, 186, 774, 700, 24, 940, 744, 483, 506, 419, 841, 827, 511, 658, 542, 689, 545, 701, 586, 618, 68, 122, 4, 151, 490, 423, 239, 831, 906, 526, 774, 130, 568, 706, 933, 333, 234, 93, 818, 501, 93, 292, 424, 676, 910, 788, 31, 875, 412, 511, 912, 787, 694, 377, 243, 759, 621, 659, 849, 396, 753, 764, 105, 988, 350, 362, 832, 123, 362, 844, 577, 986, 164, 769, 943, 338, 955, 305, 35, 591, 386, 648, 169, 219, 985, 97, 201, 492, 394, 714, 729, 626, 232, 525, 420, 529, 683, 787, 472, 710, 507, 169, 991, 377, 259, 591, 650, 371, 932, 90, 562, 401, 146, 292, 735, 997, 198, 25, 816, 674, 74, 97, 102, 100, 495, 544, 938, 452, 641, 503, 715, 745, 50, 352, 612, 611, 501, 30, 172, 944, 414, 205, 511, 824, 372, 503, 716, 368, 956, 159, 549, 486, 931, 240, 89, 56, 233, 86, 363, 674, 882, 707, 325, 2, 143, 677, 766, 648, 753, 485, 870, 759, 63, 395, 172, 661, 221, 626, 609, 470, 380, 61, 205, 108, 21, 727, 692, 950, 103, 66, 16, 281, 736, 310, 263, 736, 461, 380, 9, 240, 16, 341, 448, 228, 698, 844, 999, 581, 30, 958, 223, 335, 450, 430, 13, 117, 205, 762, 28, 260, 411, 435, 232, 731, 544, 221, 229, 309, 200, 828, 819, 947, 86, 54, 802, 898, 604, 182, 618, 953, 294, 656, 848, 118, 636, 918, 945, 130, 437, 896, 805, 525, 57, 813, 993, 325, 254, 882, 458, 45, 319, 972, 559, 418, 456, 510, 136, 134, 87, 732, 90, 931, 874, 894, 677, 589, 764, 197, 298, 702, 290, 998, 57, 660, 706, 360, 821, 901, 257, 59, 764, 347, 42, 35, 665, 901, 470, 620, 309, 39, 283, 26, 423, 783, 466, 284, 468, 877, 141, 274, 512, 471, 729, 482, 125, 503, 234, 911, 904, 803, 483, 870, 832, 63, 603, 452, 102, 22, 726, 168, 451, 631, 225, 549, 340, 476, 316, 529, 468, 452, 927, 64, 253, 551, 149, 777, 885, 615, 404, 360, 496, 84, 737, 82, 765, 97, 244, 69, 65, 795, 730, 908, 810, 280, 145, 754, 284, 512, 185, 336, 582, 369, 756, 201, 730, 181, 642, 53, 238, 334, 809, 278, 548, 960, 292, 634, 874, 276, 459, 579, 924, 904, 797, 920, 865, 368, 37, 309, 686, 5, 568, 579, 791, 756, 611, 113, 278, 616, 534, 193, 830, 76, 48},
{805, 598, 529, 727, 437, 725, 465, 495, 219, 432, 218, 208, 200, 680, 230, 466, 606, 475, 20, 155, 711, 819, 552, 938, 330, 177, 279, 161, 20, 45, 885, 165, 776, 908, 719, 25, 399, 432, 926, 100, 708, 169, 559, 608, 511, 512, 324, 628, 514, 842, 151, 552, 419, 56, 500, 31, 60, 731, 151, 894, 765, 224, 240, 335, 97, 852, 499, 903, 716, 200, 938, 511, 445, 242, 728, 666, 487, 663, 659, 660, 386, 255, 358, 242, 542, 721, 381, 641, 999, 592, 417, 424, 798, 160, 101, 796, 378, 553, 340, 417, 410, 122, 661, 714, 944, 240, 772, 974, 973, 593, 473, 196, 311, 714, 49, 804, 229, 291, 508, 856, 407, 335, 367, 282, 593, 817, 213, 34, 815, 772, 918, 786, 110, 218, 243, 932, 535, 431, 505, 202, 632, 273, 157, 182, 621, 274, 410, 378, 350, 155, 461, 224, 416, 282, 533, 623, 960, 322, 658, 216, 316, 45, 77, 498, 91, 735, 195, 376, 297, 212, 279, 496, 786, 787, 435, 930, 646, 798, 990, 381, 158, 549, 80, 116, 604, 579, 92, 255, 513, 189, 659, 879, 881, 69, 32, 641, 563, 685, 995, 238, 260, 810, 5, 142, 523, 200, 788, 435, 717, 978, 539, 472, 200, 714, 703, 358, 809, 523, 506, 913, 394, 801, 626, 862, 239, 342, 831, 498, 201, 643, 963, 943, 839, 232, 422, 458, 36, 651, 134, 924, 424, 593, 81, 767, 477, 319, 654, 101, 201, 132, 421, 792, 251, 150, 463, 490, 714, 52, 63, 387, 934, 789, 365, 645, 533, 465, 620, 958, 228, 721, 749, 677, 117, 21, 255, 309, 858, 128, 984, 935, 589, 973, 812, 320, 455, 802, 118, 8, 371, 210, 811, 752, 984, 205, 780, 972, 861, 928, 807, 744, 562, 32, 452, 79, 661, 3, 894, 778, 738, 922, 460, 275, 4, 242, 379, 190, 583, 149, 382, 265, 382, 43, 869, 505, 150, 411, 722, 24, 562, 169, 333, 171, 154, 105, 24, 929, 449, 658, 862, 464, 949, 668, 801, 968, 501, 78, 187, 638, 130, 871, 947, 656, 666, 625, 189, 611, 338, 170, 493, 618, 31, 816, 957, 738, 126, 468, 889, 8, 644, 745, 132, 473, 926, 930, 174, 180, 237, 149, 569, 972, 491, 683, 702, 297, 763, 774, 597, 939, 360, 523, 305, 791, 11, 781, 372, 254, 202, 13, 41, 877, 695, 170, 121, 203, 112, 552, 926, 504, 781, 470, 271, 350, 184, 304, 288, 462, 967, 181, 749, 343, 956, 89, 639, 543, 543, 705, 971, 230, 558, 599, 218, 947, 85, 756, 275, 53, 620, 562, 578, 342, 689, 484, 839, 801, 318, 697, 897, 272, 701, 801, 340, 9, 96, 603, 866, 832, 150, 661, 870, 541, 921, 913, 330, 781, 339, 253, 899, 391, 150, 352, 64, 522, 316, 382, 276, 519, 323, 549, 328, 624, 156, 494, 556, 43, 496, 717, 104, 825, 283, 103, 179, 325, 918, 571, 137, 659, 277, 599},
{245, 772, 144, 93, 215, 174, 881, 682, 928, 376, 921, 997, 284, 382, 160, 906, 792, 311, 425, 37, 335, 393, 15, 68, 519, 135, 671, 481, 176, 382, 522, 434, 835, 400, 199, 401, 507, 847, 793, 53, 636, 708, 351, 617, 926, 803, 316, 613, 601, 534, 726, 421, 771, 858, 978, 624, 798, 347, 650, 443, 932, 338, 252, 865, 56, 844, 728, 263, 43, 887, 212, 386, 128, 342, 837, 650, 677, 230, 378, 504, 908, 625, 111, 524, 469, 993, 564, 571, 227, 809, 769, 9, 277, 805, 205, 475, 984, 10, 873, 198, 794, 55, 866, 128, 665, 874, 321, 486, 268, 19, 884, 422, 464, 283, 689, 587, 191, 265, 357, 394, 590, 748, 738, 589, 131, 517, 936, 587, 475, 347, 663, 681, 93, 397, 122, 849, 938, 200, 427, 395, 46, 730, 32, 49, 557, 827, 762, 486, 517, 334, 834, 456, 770, 919, 656, 808, 401, 469, 320, 778, 487, 321, 427, 812, 366, 374, 301, 73, 213, 285, 694, 508, 522, 559, 811, 45, 967, 296, 853, 23, 221, 799, 304, 457, 515, 13, 865, 113, 154, 977, 307, 640, 674, 128, 454, 233, 128, 225, 246, 347, 723, 206, 41, 48, 173, 23, 384, 438, 178, 784, 996, 471, 868, 200, 97, 128, 459, 304, 46, 622, 41, 991, 927, 793, 215, 658, 908, 296, 219, 595, 139, 574, 321, 417, 497, 812, 495, 890, 713, 258, 831, 34, 272, 368, 695, 254, 13, 183, 392, 561, 566, 245, 978, 650, 547, 149, 891, 713, 982, 485, 294, 407, 569, 581, 367, 286, 171, 904, 306, 373, 444, 426, 438, 273, 591, 561, 712, 366, 11, 520, 783, 196, 83, 27, 72, 94, 372, 422, 431, 473, 317, 83, 563, 979, 849, 948, 879, 867, 476, 715, 293, 557, 33, 891, 334, 310, 736, 500, 74, 365, 150, 670, 550, 663, 386, 758, 792, 523, 204, 895, 81, 211, 655, 92, 779, 403, 585, 84, 929, 934, 605, 153, 818, 85, 126, 21, 888, 874, 643, 779, 693, 507, 785, 500, 78, 123, 501, 836, 406, 508, 442, 429, 447, 258, 759, 399, 479, 160, 490, 547, 285, 256, 255, 126, 970, 93, 191, 236, 963, 204, 938, 935, 103, 720, 5, 157, 489, 336, 35, 365, 647, 549, 343, 725, 575, 220, 567, 203, 471, 998, 453, 627, 305, 125, 592, 275, 863, 398, 397, 897, 620, 889, 724, 491, 570, 102, 329, 275, 169, 821, 777, 515, 650, 885, 521, 841, 281, 443, 606, 670, 575, 52, 857, 165, 91, 136, 489, 951, 192, 925, 745, 449, 78, 962, 618, 244, 464, 665, 647, 422, 531, 257, 546, 129, 119, 553, 706, 951, 737, 733, 653, 867, 611, 213, 150, 628, 876, 214, 986, 453, 31, 402, 445, 799, 919, 240, 36, 817, 867, 338, 414, 799, 41, 135, 289, 578, 761, 699, 747, 361, 306, 313, 647, 922, 639, 755, 650, 442, 673, 894, 25, 503, 886, 283, 547, 963, 555, 910, 727},
{449, 441, 208, 87, 195, 482, 664, 430, 870, 960, 136, 867, 765, 619, 48, 847, 445, 449, 206, 628, 555, 171, 849, 412, 979, 1, 940, 824, 949, 925, 377, 565, 38, 537, 21, 823, 180, 484, 925, 470, 3, 703, 153, 170, 766, 915, 903, 248, 195, 299, 465, 617, 275, 876, 666, 53, 902, 901, 98, 896, 893, 459, 351, 580, 435, 566, 926, 422, 561, 285, 270, 833, 571, 759, 579, 389, 635, 619, 668, 237, 4, 905, 183, 977, 333, 517, 876, 417, 659, 205, 514, 618, 451, 286, 186, 245, 993, 609, 478, 514, 82, 757, 978, 967, 627, 103, 87, 900, 322, 175, 913, 508, 940, 679, 375, 720, 219, 678, 233, 267, 490, 665, 917, 699, 435, 687, 477, 15, 356, 284, 874, 7, 369, 676, 160, 692, 782, 595, 755, 974, 720, 132, 213, 220, 733, 220, 302, 572, 749, 704, 241, 628, 218, 479, 191, 593, 699, 812, 893, 107, 501, 853, 465, 772, 136, 239, 907, 796, 566, 906, 881, 278, 182, 477, 608, 412, 436, 52, 585, 290, 897, 841, 932, 17, 229, 835, 806, 621, 281, 630, 277, 544, 38, 600, 489, 597, 632, 840, 702, 890, 30, 694, 34, 632, 274, 214, 322, 661, 350, 614, 581, 232, 864, 633, 899, 909, 706, 719, 510, 355, 784, 141, 974, 437, 750, 431, 76, 366, 343, 88, 64, 498, 609, 34, 368, 18, 798, 201, 728, 993, 189, 499, 5, 176, 407, 569, 566, 469, 111, 962, 255, 247, 21, 829, 437, 518, 389, 746, 493, 512, 941, 73, 456, 414, 222, 88, 183, 825, 49, 232, 562, 48, 501, 943, 801, 380, 412, 975, 723, 517, 909, 542, 389, 506, 895, 380, 56, 933, 716, 553, 642, 705, 485, 894, 439, 294, 631, 39, 731, 369, 327, 368, 393, 483, 338, 566, 265, 909, 722, 165, 302, 758, 563, 140, 86, 235, 547, 629, 253, 275, 802, 829, 806, 792, 868, 426, 73, 510, 51, 264, 280, 631, 704, 522, 335, 645, 171, 358, 416, 197, 210, 828, 405, 254, 751, 935, 31, 801, 734, 775, 825, 864, 565, 138, 646, 994, 523, 341, 572, 244, 998, 762, 417, 274, 34, 295, 12, 472, 65, 918, 618, 860, 103, 685, 584, 147, 858, 664, 358, 475, 469, 837, 532, 298, 566, 491, 449, 348, 370, 376, 207, 840, 406, 829, 616, 893, 213, 50, 777, 657, 92, 951, 455, 774, 562, 374, 367, 631, 701, 916, 828, 303, 913, 362, 936, 222, 57, 464, 623, 395, 13, 857, 458, 402, 972, 988, 41, 523, 698, 255, 181, 63, 1, 997, 848, 385, 502, 601, 38, 181, 514, 690, 274, 242, 509, 381, 499, 375, 267, 562, 448, 125, 198, 471, 420, 640, 775, 163, 605, 386, 266, 59, 677, 376, 142, 426, 434, 278, 670, 533, 663, 20, 178, 193, 272, 537, 369, 620, 916, 875, 953, 829, 68, 173, 504, 277, 453, 972, 120, 104, 287, 906, 25, 129, 600, 28, 628, 676, 178, 992},
}