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October 31, 2016 04:01
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HackerRank - walmartLabs - Fibonacci sum - study code II
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using System; | |
using System.Collections.Generic; | |
using System.IO; | |
using System.Linq; | |
class Solution { | |
static long M = 1000000007; | |
static long[,] M_I = new long[,] { { 1, 0 }, { 0, 1 } }; | |
static long[,] M_F = new long[,] { { 0, 1 }, { 1, 1 } }; | |
static long[,] Mul(long[,] A, long[,] B) | |
{ | |
long[,] C = new long[2, 2]; | |
for (int i = 0; i < 2; i++) | |
for (int k = 0; k < 2; k++) | |
for (int j = 0; j < 2; j++) | |
C[i, k] = (C[i, k] + A[i, j] * B[j, k]) % M; | |
return C; | |
} | |
static long[,] Add(long[,] A, long[,] B) | |
{ | |
long[,] C = new long[2, 2]; | |
for (int i = 0; i < 2; i++) | |
for (int k = 0; k < 2; k++) | |
C[i, k] = (A[i, k] + B[i, k]) % M; | |
return C; | |
} | |
static long[,] Pow(long[,] A, int p) | |
{ | |
if (p == 1) | |
return A; | |
if (p % 2 == 1) | |
return Mul(A, Pow(A, p - 1)); | |
long[,] X = Pow(A, p / 2); | |
return Mul(X, X); | |
} | |
static long ExtrFib(long[,] A) | |
{ | |
return (A[0, 0] + A[0, 1]) % M; | |
} | |
static long[,] FibMat(int n) | |
{ | |
if (n == 1) | |
return M_I; | |
return Pow(M_F, n - 1); | |
} | |
static void Main(String[] args) { | |
int q = int.Parse(Console.ReadLine()); | |
for (int test = 0; test < q; test++) | |
{ | |
int n = int.Parse(Console.ReadLine()); | |
int[] a = Console.ReadLine().Split(new[] { ' ' }, StringSplitOptions.RemoveEmptyEntries).Select(int.Parse).ToArray(); | |
var b = a.Select(FibMat).ToArray(); | |
var c = b.Select(l => Mul(l, M_F)).ToArray(); | |
long tot = 0; | |
var G = M_I; | |
for (int k = n - 1; k >= 0; k -= 1) | |
{ | |
var P = Mul(b[k], G); | |
tot = (tot + ExtrFib(P)) % M; | |
G = Mul(c[k], G); | |
G = Add(M_I, G); | |
} | |
Console.WriteLine(tot); | |
} | |
} | |
} |
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