Created
August 15, 2021 17:16
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{ | |
"cells": [ | |
{ | |
"cell_type": "code", | |
"execution_count": 47, | |
"metadata": { | |
"scrolled": false | |
}, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"7\n", | |
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"[{(0, -1), (0, 0)}, {(0, 0), (1, 1)}]\n", | |
"CHECK 2 :c,len=> 2 2\n", | |
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"[{(0, -1), (-1, 1), (0, 0)}, {(0, 1), (0, -1), (0, 0)}, {(0, -1), (0, 0), (1, -1)}, {(0, 0), (0, 2), (1, 1)}, {(1, 2), (0, 0), (1, 1)}, {(0, 0), (1, 1), (2, 2)}]\n", | |
"CHECK 3 :c,len=> 6 6\n", | |
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"[{(-1, 1), (0, -1), (-2, 1), (0, 0)}, {(0, -1), (-1, 1), (0, 0), (-1, -1)}, {(0, -1), (-1, 1), (0, 0), (-1, 0)}, {(0, 2), (0, 0), (-1, 0), (1, 1)}, {(0, -1), (-1, 1), (-1, 2), (0, 0)}, {(0, -1), (-1, 1), (0, 0), (1, -2)}, {(0, -1), (-1, 1), (0, 0), (1, 0)}, {(-1, 1), (0, 0), (0, 2), (1, 1)}, {(0, 1), (0, -1), (-1, 2), (0, 0)}, {(-1, 2), (0, 2), (0, 0), (1, 1)}, {(0, -2), (0, 0), (1, -1), (0, -1)}, {(0, 1), (0, -1), (0, 0), (0, 2)}, {(0, 1), (0, -1), (0, 0), (1, -1)}, {(0, 1), (0, -1), (0, 0), (1, 2)}, {(0, -1), (1, 0), (0, 0), (1, -1)}, {(0, -1), (0, 0), (1, -1), (2, -1)}, {(1, 2), (0, -1), (0, 0), (1, 1)}, {(0, -1), (0, 0), (1, 1), (2, 2)}, {(0, 1), (0, 0), (1, 1), (1, 2)}, {(0, 3), (0, 0), (0, 2), (1, 1)}, {(0, 0), (1, -1), (0, 2), (1, 1)}, {(1, 2), (0, 0), (0, 2), (1, 1)}, {(1, 3), (0, 0), (0, 2), (1, 1)}, {(1, 2), (0, 3), (0, 0), (1, 1)}, {(1, 2), (0, 0), (1, -1), (1, 1)}, {(1, 2), (2, 0), (0, 0), (1, 1)}, {(1, 2), (0, 0), (1, 1), (2, 2)}, {(1, 2), (0, 0), (2, 3), (1, 1)}, {(1, 3), (0, 0), (1, 1), (2, 2)}, {(2, 0), (0, 0), (1, 1), (2, 2)}, {(0, 0), (1, 1), (2, 1), (2, 2)}, {(0, 0), (3, 1), (1, 1), (2, 2)}, {(3, 2), (0, 0), (1, 1), (2, 2)}, {(3, 3), (0, 0), (1, 1), (2, 2)}]\n", | |
"CHECK 4 :c,len=> 34 34\n", | |
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"[{(-1, 1), (-2, 1), (0, 0), (-3, 0), (0, -1)}, {(-1, 1), (-2, 1), (0, 0), (-3, 2), (0, -1)}, {(-1, 1), (0, 0), (-2, -1), (-1, -1), (0, -1)}, {(-1, 1), (-2, 1), (0, 0), (-2, 0), (0, -1)}, {(-1, 1), (-2, 1), (0, 0), (-2, 2), (0, -1)}, {(-1, 1), (-2, 1), (0, 0), (-1, -1), (0, -1)}, {(-2, 1), (0, 0), (-1, 0), (1, 1), (0, 2)}, {(0, 1), (-1, 1), (-2, 1), (0, 0), (0, -1)}, {(-1, 1), (-2, 1), (0, 0), (0, -1), (1, -2)}, {(0, 1), (-2, 1), (0, 0), (-1, 2), (0, -1)}, {(-1, 1), (0, 0), (-2, 2), (0, -1), (1, 0)}, {(0, 1), (0, 0), (-2, 2), (-1, 2), (0, -1)}, {(0, 1), (0, 0), (-2, 3), (-1, 2), (0, -1)}, {(-1, 1), (0, 0), (-1, 2), (-1, -2), (0, -1)}, {(-1, 1), (0, 0), (-1, -2), (0, -1), (1, 0)}, {(0, 1), (0, 0), (-1, -2), (0, -1), (0, 2)}, {(0, 1), (1, 2), (0, 0), (-1, -2), (0, -1)}, {(0, 0), (2, -1), (-1, -2), (0, -1), (1, -1)}, {(0, 1), (0, 0), (-1, 2), (-1, -1), (0, -1)}, {(0, 0), (0, -1), (-1, -1), (0, -2), (1, -1)}, {(0, 1), (1, 2), (0, 0), (-1, -1), (0, -1)}, {(0, 0), (2, -1), (-1, -1), (0, -1), (1, -1)}, {(0, 1), (1, 2), (0, 0), (-1, -1), (1, 1)}, {(1, 3), (0, 0), (0, 2), (-1, -1), (1, 1)}, {(1, 2), (0, 0), (2, 3), (-1, -1), (1, 1)}, {(0, 0), (3, 3), (-1, -1), (2, 2), (1, 1)}, {(-1, 1), (0, 0), (-1, 0), (0, -1), (0, 2)}, {(-1, 1), (0, 0), (-1, 0), (0, -1), (1, -2)}, {(0, 0), (-1, 0), (-1, 2), (1, 1), (0, 2)}, {(0, 0), (-1, 0), (1, 1), (0, -1), (0, 2)}, {(0, 0), (-1, 0), (1, 1), (0, 3), (0, 2)}, {(0, 0), (-1, 0), (2, 1), (1, 1), (0, 2)}, {(1, 2), (0, 0), (-1, 0), (1, -1), (1, 1)}, {(1, 3), (0, 0), (-1, 0), (2, 2), (1, 1)}, {(0, 0), (-1, 0), (3, 1), (2, 2), (1, 1)}, {(3, 2), (0, 0), (-1, 0), (2, 2), (1, 1)}, {(-1, 1), (0, 0), (-1, 3), (-1, 2), (0, -1)}, {(-1, 1), (0, 0), (-1, 2), (0, -1), (1, -2)}, {(-1, 1), (0, 0), (-1, 2), (0, -1), (1, -1)}, {(-1, 1), (0, 0), (-1, 2), (0, -1), (1, 0)}, {(0, 1), (1, 2), (-1, 1), (0, 0), (0, -1)}, {(-1, 1), (0, 0), (0, -1), (1, -2), (0, 2)}, {(-1, 1), (0, 0), (0, -1), (1, 0), (1, -2)}, {(2, -3), (-1, 1), (0, 0), (0, -1), (1, -2)}, {(-1, 1), (0, 0), (2, -1), (0, -1), (1, -2)}, {(-1, 1), (0, 0), (2, -1), (0, -1), (1, -1)}, {(-1, 1), (0, 0), (2, 2), (0, -1), (1, 1)}, {(-1, 1), (0, 0), (1, 1), (1, -1), (0, 2)}, {(1, 2), (-1, 1), (0, 0), (1, 1), (0, 2)}, {(-1, 1), (0, 0), (2, 1), (1, 1), (0, 2)}, {(1, 2), (-1, 1), (0, 0), (0, 3), (1, 1)}, {(1, 2), (-1, 1), (0, 0), (2, 0), (1, 1)}, {(-1, 1), (0, 0), (3, 1), (2, 2), (1, 1)}, {(-1, 1), (0, 0), (3, 3), (2, 2), (1, 1)}, {(0, 1), (0, 0), (-1, 2), (0, -1), (0, 2)}, {(0, 1), (0, 0), (-1, 2), (0, -1), (1, -2)}, {(0, 1), (0, 0), (-1, 2), (0, -1), (1, -1)}, {(0, 0), (-1, 2), (1, 1), (0, -1), (0, 2)}, {(0, 0), (-1, 2), (1, 1), (0, 3), (0, 2)}, {(1, 2), (0, 0), (-1, 2), (1, 1), (0, 2)}, {(0, 0), (-1, 2), (2, 1), (1, 1), (0, 2)}, {(0, 0), (-1, 3), (1, 1), (1, -1), (0, 2)}, {(1, 2), (0, 0), (-1, 3), (0, 3), (1, 1)}, {(0, 1), (0, 0), (0, -1), (0, -2), (0, 2)}, {(0, 0), (1, -2), (0, -1), (0, -2), (1, -1)}, {(0, 0), (2, -1), (0, -1), (0, -2), (1, -1)}, {(0, 0), (0, -1), (2, 2), (0, -2), (1, 1)}, {(0, 1), (0, 0), (0, -1), (1, -2), (0, 2)}, {(0, 1), (1, 2), (0, 0), (0, -1), (0, 2)}, {(0, 1), (0, 0), (1, -1), (0, -1), (1, -2)}, {(0, 1), (1, 2), (0, 0), (0, -1), (1, -2)}, {(0, 1), (0, 0), (2, -2), (0, -1), (1, -1)}, {(0, 1), (1, 2), (0, 0), (0, -1), (1, 1)}, {(0, 1), (1, 2), (0, 0), (2, 1), (0, -1)}, {(0, 1), (1, 2), (0, 0), (2, 2), (0, -1)}, {(0, 0), (1, 1), (0, -1), (1, -1), (0, 2)}, {(1, 3), (0, 0), (1, 1), (0, -1), (0, 2)}, {(1, 2), (0, 0), (0, -1), (0, 3), (1, 1)}, {(0, 0), (2, -1), (1, -1), (0, -1), (1, -2)}, {(0, 0), (2, 2), (0, -1), (1, -2), (1, 1)}, {(0, 0), (2, -1), (0, -1), (1, 0), (1, -1)}, {(1, 2), (0, 0), (0, -1), (1, -1), (1, 1)}, {(0, 0), (2, 2), (0, -1), (1, -1), (1, 1)}, {(0, 0), (2, -1), (2, 0), (0, -1), (1, -1)}, {(1, 2), (0, 0), (1, 3), (0, -1), (1, 1)}, {(1, 2), (0, 0), (2, 1), (0, -1), (1, 1)}, {(1, 2), (0, 0), (2, 2), (0, -1), (1, 1)}, {(1, 3), (0, 0), (2, 2), (0, -1), (1, 1)}, {(0, 0), (2, 0), (2, 2), (0, -1), (1, 1)}, {(0, 0), (2, 1), (2, 2), (0, -1), (1, 1)}, {(0, 0), (2, 3), (2, 2), (0, -1), (1, 1)}, {(0, 0), (3, 1), (2, 2), (0, -1), (1, 1)}, {(3, 2), (0, 0), (2, 2), (0, -1), (1, 1)}, {(0, 1), (0, 0), (1, 1), (0, 3), (0, 2)}, {(0, 1), (0, 0), (1, 1), (1, -1), (0, 2)}, {(0, 1), (1, 2), (0, 0), (1, -1), (1, 1)}, {(0, 1), (1, 2), (0, 0), (2, 0), (1, 1)}, {(0, 1), (1, 2), (0, 0), (2, 1), (1, 1)}, {(0, 1), (0, 0), (1, 3), (2, 2), (1, 1)}, {(0, 1), (0, 0), (2, 1), (2, 2), (1, 1)}, {(0, 1), (0, 0), (3, 1), (2, 2), (1, 1)}, {(0, 0), (0, 2), (0, 4), (0, 3), (1, 1)}, {(0, 0), (1, 1), (1, 0), (0, 2), (0, 3)}, {(1, 3), (0, 0), (1, 1), (0, 3), (0, 2)}, {(0, 0), (2, 1), (1, 1), (0, 3), (0, 2)}, {(0, 0), (1, 1), (1, -2), (1, -1), (0, 2)}, {(1, 3), (0, 0), (1, 1), (1, -1), (0, 2)}, {(0, 0), (2, -1), (1, 1), (1, -1), (0, 2)}, {(0, 0), (1, 1), (2, 2), (1, -1), (0, 2)}, {(1, 2), (0, 0), (1, 3), (1, 1), (0, 2)}, {(1, 2), (0, 0), (1, 1), (2, 3), (0, 2)}, {(1, 3), (0, 0), (2, 0), (1, 1), (0, 2)}, {(1, 3), (0, 0), (1, 1), (2, 3), (0, 2)}, {(0, 0), (2, 0), (1, 1), (2, 2), (0, 2)}, {(0, 0), (2, 1), (1, 1), (2, 2), (0, 2)}, {(3, 2), (0, 0), (1, 1), (2, 2), (0, 2)}, {(0, 0), (3, 3), (1, 1), (2, 2), (0, 2)}, {(1, 2), (0, 0), (0, 3), (1, -1), (1, 1)}, {(1, 2), (0, 0), (1, 3), (0, 3), (1, 1)}, {(1, 2), (0, 0), (1, 4), (0, 3), (1, 1)}, {(1, 2), (0, 0), (2, 0), (0, 3), (1, 1)}, {(1, 3), (0, 0), (2, 2), (0, 3), (1, 1)}, {(1, 2), (0, 0), (1, -1), (1, -2), (1, 1)}, {(1, 2), (0, 0), (1, 3), (1, -1), (1, 1)}, {(1, 2), (0, 0), (2, -2), (1, -1), (1, 1)}, {(1, 2), (0, 0), (2, 2), (1, -1), (1, 1)}, {(1, 3), (0, 0), (2, 2), (1, -1), (1, 1)}, {(0, 0), (2, 0), (2, 2), (1, -1), (1, 1)}, {(0, 0), (3, 1), (2, 2), (1, -1), (1, 1)}, {(0, 0), (3, 3), (2, 2), (1, -1), (1, 1)}, {(1, 2), (0, 0), (2, 2), (1, 0), (1, 1)}, {(0, 0), (2, 0), (2, 2), (1, 0), (1, 1)}, {(0, 0), (2, 1), (2, 2), (1, 0), (1, 1)}, {(0, 0), (3, 1), (2, 2), (1, 0), (1, 1)}, {(1, 2), (0, 0), (1, 3), (2, 0), (1, 1)}, {(1, 2), (0, 0), (1, 3), (2, 2), (1, 1)}, {(1, 2), (0, 0), (1, 4), (2, 3), (1, 1)}, {(1, 2), (0, 0), (2, 1), (2, 0), (1, 1)}, {(1, 2), (0, 0), (2, 0), (2, 2), (1, 1)}, {(1, 2), (0, 0), (2, 0), (2, 3), (1, 1)}, {(1, 2), (0, 0), (3, 1), (2, 0), (1, 1)}, {(1, 2), (0, 0), (2, 1), (2, 2), (1, 1)}, {(1, 2), (0, 0), (3, 1), (2, 2), (1, 1)}, {(1, 2), (0, 0), (2, 3), (2, 4), (1, 1)}, {(1, 2), (3, 2), (0, 0), (2, 3), (1, 1)}, {(1, 3), (0, 0), (1, 4), (2, 2), (1, 1)}, {(1, 3), (0, 0), (2, 1), (2, 2), (1, 1)}, {(3, 2), (1, 3), (0, 0), (2, 2), (1, 1)}, {(0, 0), (2, -1), (2, 0), (2, 2), (1, 1)}, {(0, 0), (2, 1), (2, 0), (2, 2), (1, 1)}, {(0, 0), (2, 0), (2, 3), (2, 2), (1, 1)}, {(0, 0), (3, -1), (2, 0), (2, 2), (1, 1)}, {(0, 0), (3, 0), (2, 0), (2, 2), (1, 1)}, {(3, 2), (0, 0), (2, 0), (2, 2), (1, 1)}, {(0, 0), (3, 3), (2, 0), (2, 2), (1, 1)}, {(0, 0), (3, 0), (2, 1), (2, 2), (1, 1)}, {(0, 0), (3, 1), (2, 1), (2, 2), (1, 1)}, {(0, 0), (3, 3), (2, 1), (2, 2), (1, 1)}, {(0, 0), (3, 3), (2, 3), (2, 2), (1, 1)}, {(0, 0), (3, 0), (3, 1), (2, 2), (1, 1)}, {(3, 2), (0, 0), (3, 1), (2, 2), (1, 1)}, {(0, 0), (3, 1), (2, 2), (1, 1), (4, 0)}, {(3, 2), (0, 0), (3, 3), (2, 2), (1, 1)}, {(3, 2), (0, 0), (2, 2), (4, 1), (1, 1)}, {(0, 0), (3, 3), (2, 2), (3, 4), (1, 1)}, {(0, 0), (3, 3), (4, 3), (2, 2), (1, 1)}]\n", | |
"CHECK 5 :c,len=> 166 166\n" | |
] | |
}, | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
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0), (3, 3), (2, 2), (1, 0), (1, 1)}, {(1, 2), (3, 2), (0, 0), (2, 3), (1, 0), (1, 1)}, {(1, 3), (0, 0), (1, 4), (2, 2), (1, 0), (1, 1)}, {(1, 3), (0, 0), (2, 0), (2, 2), (1, 0), (1, 1)}, {(1, 3), (0, 0), (2, 1), (2, 2), (1, 0), (1, 1)}, {(0, 0), (2, -1), (2, 1), (2, 2), (1, 0), (1, 1)}, {(0, 0), (2, -1), (3, 1), (2, 2), (1, 0), (1, 1)}, {(0, 0), (2, 0), (2, 3), (2, 2), (1, 0), (1, 1)}, {(0, 0), (3, -1), (2, 0), (2, 2), (1, 0), (1, 1)}, {(0, 0), (3, 1), (2, 0), (2, 2), (1, 0), (1, 1)}, {(3, 2), (0, 0), (2, 0), (2, 2), (1, 0), (1, 1)}, {(3, 2), (0, 0), (2, 1), (2, 2), (1, 0), (1, 1)}, {(0, 0), (3, 1), (2, 3), (2, 2), (1, 0), (1, 1)}, {(0, 0), (3, 3), (2, 3), (2, 2), (1, 0), (1, 1)}, {(0, 0), (3, 0), (3, 1), (2, 2), (1, 0), (1, 1)}, {(3, 2), (0, 0), (3, 1), (2, 2), (1, 0), (1, 1)}, {(0, 0), (3, 3), (3, 1), (2, 2), (1, 0), (1, 1)}, {(0, 0), (3, 1), (2, 2), (1, 0), (1, 1), (4, 0)}, {(0, 0), (3, 1), (2, 2), (4, 2), (1, 0), (1, 1)}, {(0, 0), (3, 3), (2, 2), (1, 0), (3, 4), (1, 1)}, {(1, 2), (0, 0), (1, 3), (1, 4), (2, 0), (1, 1)}, {(1, 2), (0, 0), (1, 3), (1, 4), (2, 2), (1, 1)}, {(1, 2), (0, 0), (1, 3), (2, 1), (2, 0), (1, 1)}, {(1, 2), (0, 0), (1, 3), (3, 0), (2, 0), (1, 1)}, {(1, 2), (0, 0), (1, 3), (3, 1), (2, 0), (1, 1)}, {(1, 2), (0, 0), (1, 3), (2, 3), (2, 2), (1, 1)}, {(1, 2), (3, 2), (0, 0), (1, 3), (2, 2), (1, 1)}, {(1, 2), (0, 0), (1, 4), (2, 0), (2, 3), (1, 1)}, {(1, 2), (0, 0), (1, 4), (2, 3), (2, 4), (1, 1)}, {(1, 2), (0, 0), (1, 4), (2, 3), (2, 5), (1, 1)}, {(1, 2), (0, 0), (3, 3), (1, 4), (2, 3), (1, 1)}, {(1, 2), (0, 0), (2, -1), (2, 1), (2, 0), (1, 1)}, {(1, 2), (0, 0), (2, -1), (2, 0), (2, 2), (1, 1)}, {(1, 2), (0, 0), (2, -1), (2, 0), (2, 3), (1, 1)}, {(1, 2), (0, 0), (2, -1), (3, 1), (2, 0), (1, 1)}, {(1, 2), (0, 0), (2, 1), (2, 0), (2, 2), (1, 1)}, {(1, 2), (3, 2), (0, 0), (2, 1), (2, 0), (1, 1)}, {(1, 2), (0, 0), (3, -1), (2, 0), (2, 2), (1, 1)}, {(1, 2), (0, 0), (3, 1), (2, 0), (2, 2), (1, 1)}, {(1, 2), (3, 2), (0, 0), (2, 0), (2, 2), (1, 1)}, {(1, 2), (0, 0), (2, 0), (2, 3), (2, 4), (1, 1)}, {(1, 2), (0, 0), (3, -1), (2, 0), (2, 3), (1, 1)}, {(1, 2), (0, 0), (3, 0), (2, 0), (2, 3), (1, 1)}, {(1, 2), (0, 0), (3, 3), (2, 0), (2, 3), (1, 1)}, {(1, 2), (0, 0), (3, 1), (2, 0), (1, 1), (4, 0)}, {(1, 2), (0, 0), (2, 1), (2, 3), (2, 2), (1, 1)}, {(1, 2), (0, 0), (3, 1), (2, 1), (2, 2), (1, 1)}, {(1, 2), (0, 0), (3, 3), (2, 1), (2, 2), (1, 1)}, {(1, 2), (3, 2), (0, 0), (2, 1), (2, 3), (1, 1)}, {(1, 2), (0, 0), (3, 1), (2, 3), (2, 2), (1, 1)}, {(1, 2), (0, 0), (3, 0), (3, 1), (2, 2), (1, 1)}, {(1, 2), (3, 2), (0, 0), (3, 1), (2, 2), (1, 1)}, {(1, 2), (0, 0), (3, 3), (3, 1), (2, 2), (1, 1)}, {(1, 2), (0, 0), (3, 1), (2, 2), (4, 1), (1, 1)}, {(1, 2), (3, 2), (0, 0), (3, 3), (2, 2), (1, 1)}, {(1, 2), (0, 0), (3, 3), (2, 2), (3, 4), (1, 1)}, {(1, 2), (0, 0), (3, 3), (4, 3), (2, 2), (1, 1)}, {(1, 2), (0, 0), (2, 3), (2, 4), (2, 5), (1, 1)}, {(1, 2), (3, 2), (0, 0), (2, 3), (2, 4), (1, 1)}, {(1, 2), (0, 0), (2, 3), (2, 4), (3, 4), (1, 1)}, {(1, 2), (0, 0), (2, 3), (2, 4), (1, 1), (3, 5)}, {(1, 2), (3, 2), (0, 0), (3, 3), (2, 3), (1, 1)}, {(1, 2), (3, 2), (0, 0), (2, 3), (3, 4), (1, 1)}, {(1, 2), (3, 2), (0, 0), (2, 3), (4, 1), (1, 1)}, {(1, 3), (0, 0), (1, 4), (1, 5), (2, 2), (1, 1)}, {(1, 3), (0, 0), (1, 4), (2, 0), (2, 2), (1, 1)}, {(1, 3), (0, 0), (1, 4), (2, 4), (2, 2), (1, 1)}, {(1, 3), (0, 0), (1, 4), (2, 2), (2, 5), (1, 1)}, {(1, 3), (0, 0), (2, -1), (2, 0), (2, 2), (1, 1)}, {(1, 3), (0, 0), (2, 1), (2, 0), (2, 2), (1, 1)}, {(1, 3), (0, 0), (2, 0), (2, 3), (2, 2), (1, 1)}, {(1, 3), (0, 0), (3, -1), (2, 0), (2, 2), (1, 1)}, {(1, 3), (0, 0), (3, 0), (2, 0), (2, 2), (1, 1)}, {(3, 2), (1, 3), (0, 0), (2, 0), (2, 2), (1, 1)}, {(1, 3), (0, 0), (2, 1), (2, 4), (2, 2), (1, 1)}, {(1, 3), (0, 0), (3, 0), (2, 1), (2, 2), (1, 1)}, {(3, 2), (1, 3), (0, 0), (2, 1), (2, 2), (1, 1)}, {(1, 3), (0, 0), (3, 3), (2, 1), (2, 2), (1, 1)}, {(3, 2), (1, 3), (0, 0), (2, 3), (2, 2), (1, 1)}, {(1, 3), (0, 0), (3, 3), (2, 3), (2, 2), (1, 1)}, {(1, 3), (0, 0), (3, 0), (3, 1), (2, 2), (1, 1)}, {(3, 2), (1, 3), (0, 0), (3, 3), (2, 2), (1, 1)}, {(3, 2), (1, 3), (0, 0), (2, 2), (4, 2), (1, 1)}, {(1, 3), (0, 0), (3, 3), (2, 2), (3, 4), (1, 1)}, {(0, 0), (1, 4), (2, 0), (2, 3), (2, 2), (1, 1)}, {(0, 0), (2, -1), (2, -2), (2, 0), (2, 2), (1, 1)}, {(0, 0), (2, -1), (2, 0), (2, 3), (2, 2), (1, 1)}, {(0, 0), (2, -1), (3, -2), (2, 0), (2, 2), (1, 1)}, {(0, 0), (2, -1), (3, -1), (2, 0), (2, 2), (1, 1)}, {(0, 0), (3, 0), (2, -1), (2, 0), (2, 2), (1, 1)}, {(3, 2), (0, 0), (2, -1), (2, 0), (2, 2), (1, 1)}, {(0, 0), (3, 3), (2, -1), (2, 0), (2, 2), (1, 1)}, {(0, 0), (3, 0), (2, -1), (2, 1), (2, 2), (1, 1)}, {(0, 0), (2, 1), (2, 0), (2, 3), (2, 2), (1, 1)}, {(0, 0), (2, 1), (3, -1), (2, 0), (2, 2), (1, 1)}, {(0, 0), (3, 3), (2, 1), (2, 0), (2, 2), (1, 1)}, {(0, 0), (3, -1), (2, 0), (2, 3), (2, 2), (1, 1)}, {(0, 0), (3, 1), (2, 0), (2, 3), (2, 2), (1, 1)}, {(3, 2), (0, 0), (2, 0), (2, 3), (2, 2), (1, 1)}, {(0, 0), (2, 0), (2, 3), (2, 2), (3, 4), (1, 1)}, {(0, 0), (3, -2), (3, -1), (2, 0), (2, 2), (1, 1)}, {(0, 0), (3, 1), (3, -1), (2, 0), (2, 2), (1, 1)}, {(0, 0), (3, 3), (3, -1), (2, 0), (2, 2), (1, 1)}, {(0, 0), (4, -1), (3, -1), (2, 0), (2, 2), (1, 1)}, {(0, 0), (3, 0), (3, 1), (2, 0), (2, 2), (1, 1)}, {(3, 2), (0, 0), (3, 0), (2, 0), (2, 2), (1, 1)}, {(0, 0), (3, 3), (3, 0), (2, 0), (2, 2), (1, 1)}, {(0, 0), (4, -1), (3, 0), (2, 0), (2, 2), (1, 1)}, {(0, 0), (3, 1), (2, 0), (2, 2), (1, 1), (4, 0)}, {(3, 2), (0, 0), (2, 0), (2, 2), (4, 1), (1, 1)}, {(0, 0), (3, 3), (2, 0), (2, 2), (3, 4), (1, 1)}, {(0, 0), (3, 3), (2, 0), (4, 3), (2, 2), (1, 1)}, {(0, 0), (3, 3), (4, 4), (2, 0), (2, 2), (1, 1)}, {(0, 0), (3, 0), (2, 1), (2, 3), (2, 2), (1, 1)}, {(0, 0), (3, 3), (2, 1), (1, 1), (2, 2), (2, 4)}, {(0, 0), (3, 0), (3, -1), (2, 1), (2, 2), (1, 1)}, {(0, 0), (3, 0), (3, 1), (2, 1), (2, 2), (1, 1)}, {(0, 0), (3, 3), (3, 0), (2, 1), (2, 2), (1, 1)}, {(0, 0), (4, -1), (3, 0), (2, 1), (2, 2), (1, 1)}, {(0, 0), (3, 0), (2, 1), (2, 2), (1, 1), (4, 0)}, {(3, 2), (0, 0), (3, 1), (2, 1), (2, 2), (1, 1)}, {(3, 2), (0, 0), (3, 3), (2, 1), (2, 2), (1, 1)}, {(0, 0), (3, 3), (2, 1), (2, 2), (3, 4), (1, 1)}, {(0, 0), (3, 3), (2, 1), (4, 3), (2, 2), (1, 1)}, {(0, 0), (3, 3), (1, 1), (2, 3), (2, 2), (2, 4)}, {(3, 2), (0, 0), (3, 1), (2, 3), (2, 2), (1, 1)}, {(0, 0), (3, 1), (2, 3), (2, 2), (1, 1), (4, 0)}, {(3, 2), (0, 0), (3, 3), (2, 3), (2, 2), (1, 1)}, {(0, 0), (3, 3), (4, 4), (2, 3), (2, 2), (1, 1)}, {(3, 2), (0, 0), (3, 3), (1, 1), (2, 2), (2, 4)}, {(0, 0), (3, 3), (1, 1), (2, 2), (3, 4), (2, 4)}, {(0, 0), (3, 3), (2, 2), (2, 5), (3, 4), (1, 1)}, {(0, 0), (3, 0), (3, 1), (3, -1), (2, 2), (1, 1)}, {(0, 0), (4, -1), (3, 0), (3, 1), (2, 2), (1, 1)}, {(0, 0), (3, 0), (3, 1), (2, 2), (4, 2), (1, 1)}, {(3, 2), (0, 0), (3, 0), (2, 2), (4, 1), (1, 1)}, {(3, 2), (0, 0), (3, 1), (2, 2), (4, 2), (1, 1)}, {(0, 0), (3, 3), (3, 1), (4, 3), (2, 2), (1, 1)}, {(0, 0), (4, -1), (3, 1), (2, 2), (1, 1), (4, 0)}, {(0, 0), (3, 1), (5, 0), (2, 2), (1, 1), (4, 0)}, {(3, 2), (0, 0), (3, 3), (2, 2), (4, 1), (1, 1)}, {(3, 2), (0, 0), (3, 3), (4, 4), (2, 2), (1, 1)}, {(3, 2), (0, 0), (2, 2), (4, 1), (1, 1), (4, 0)}, {(3, 2), (0, 0), (2, 2), (4, 2), (4, 1), (1, 1)}, {(3, 2), (0, 0), (5, 0), (2, 2), (4, 1), (1, 1)}, {(3, 2), (0, 0), (5, 2), (2, 2), (4, 1), (1, 1)}, {(0, 0), (3, 3), (2, 2), (3, 4), (1, 1), (3, 5)}, {(0, 0), (3, 3), (4, 5), (2, 2), (3, 4), (1, 1)}, {(0, 0), (3, 3), (4, 4), (4, 3), (2, 2), (1, 1)}]\n", | |
"CHECK 6 :c,len=> 991 991\n", | |
"\n" | |
] | |
} | |
], | |
"source": [ | |
"import itertools\n", | |
"import matplotlib.pyplot as plt\n", | |
"\n", | |
"def px(a):\n", | |
" return (a[0]+1,a[1])\n", | |
"def py(a):\n", | |
" return (a[0],a[1]+1)\n", | |
"def pxy(a):\n", | |
" return (a[0]+1,a[1]+1)\n", | |
"\n", | |
"def mx(a):\n", | |
" return (a[0]-1,a[1])\n", | |
"def my(a):\n", | |
" return (a[0],a[1]-1)\n", | |
"def mxy(a):\n", | |
" return (a[0]-1,a[1]-1)\n", | |
"\n", | |
"def pmxy(a):\n", | |
" return (a[0]+1,a[1]-1)\n", | |
"def mpxy(a):\n", | |
" return (a[0]-1,a[1]+1)\n", | |
"\n", | |
"def connect(a):\n", | |
" return [px(a),py(a),pxy(a),mx(a),my(a),mxy(a),pmxy(a),mpxy(a)]\n", | |
"\n", | |
"def checksize(a,N):\n", | |
" if len(set(a))==N:\n", | |
" return True\n", | |
" else:\n", | |
" False\n", | |
" \n", | |
"def rot1(at):\n", | |
" bt=[]\n", | |
" a=[[-100,-100]]*len(at)\n", | |
" for n in range(0,len(at)):\n", | |
" b=at[n][0]\n", | |
" a[n][0]=-at[n][1]\n", | |
" a[n][1]=b\n", | |
" bt.append((a[n][0],a[n][1]))\n", | |
" return bt\n", | |
" \n", | |
"def rot2(at):\n", | |
" bt=[]\n", | |
" a=[[-100,-100]]*len(at)\n", | |
" for n in range(0,len(at)):\n", | |
" a[n][0]=-at[n][0]\n", | |
" a[n][1]=-at[n][1]\n", | |
" bt.append((a[n][0],a[n][1]))\n", | |
" return bt\n", | |
" \n", | |
"def rot3(at):\n", | |
" bt=[]\n", | |
" a=[[-100,-100]]*len(at)\n", | |
" for n in range(0,len(at)):\n", | |
" b=at[n][0]\n", | |
" a[n][0]=at[n][1]\n", | |
" a[n][1]=-b\n", | |
" bt.append((a[n][0],a[n][1]))\n", | |
" return bt\n", | |
"\n", | |
"def revx(at):\n", | |
" bt=[]\n", | |
" a=[[-100,-100]]*len(at)\n", | |
" for n in range(0,len(at)):\n", | |
" a[n][0]=at[n][0]\n", | |
" a[n][1]=-at[n][1]\n", | |
" bt.append((a[n][0],a[n][1]))\n", | |
" return bt\n", | |
"\n", | |
"def revy(at):\n", | |
" bt=[]\n", | |
" a=[[-100,-100]]*len(at)\n", | |
" for n in range(0,len(at)):\n", | |
" a[n][0]=-at[n][0]\n", | |
" a[n][1]=at[n][1]\n", | |
" bt.append((a[n][0],a[n][1]))\n", | |
" return bt\n", | |
"\n", | |
"\n", | |
"def shift(a,bs):\n", | |
" al=list(itertools.permutations(a))\n", | |
"\n", | |
" b=[]\n", | |
" for l in bs:\n", | |
" b.append(list(l))\n", | |
" \n", | |
" for x in al:\n", | |
" c=x[0][0]-b[0][0]\n", | |
" d=x[0][1]-b[0][1]\n", | |
" BOOL=True\n", | |
" for n in range(1,len(b)):\n", | |
" cc=x[n][0]-b[n][0]\n", | |
" dd=x[n][1]-b[n][1]\n", | |
" if c==cc and d==dd:\n", | |
" BOOL=BOOL and True\n", | |
" else:\n", | |
" BOOL=BOOL and False\n", | |
" break\n", | |
" if BOOL:\n", | |
" break\n", | |
" return BOOL\n", | |
"\n", | |
"def setlist(LS):\n", | |
" LL=[]\n", | |
" for l in LS:\n", | |
" LL.append(list(l))\n", | |
"\n", | |
" return LL\n", | |
"\n", | |
"def dbcheck(ss,N):\n", | |
" count=0\n", | |
" for s in ss:\n", | |
" for t in ss:\n", | |
" if s==t:\n", | |
" count+=1\n", | |
" print('CHECK',N,':c,len=>',count,len(ss))\n", | |
" return\n", | |
"\n", | |
"def prep(s,l,N):\n", | |
" for ps in s:\n", | |
" for p in ps:\n", | |
" cp=connect(p)\n", | |
" for cl in cp:\n", | |
" if cl not in ps:\n", | |
" pss=list(ps)\n", | |
" pss.append(cl)\n", | |
" pss.sort()\n", | |
" if checksize(pss,N):\n", | |
" if l==[]:\n", | |
" l.append(pss)\n", | |
" elif pss not in l:\n", | |
" l.append(pss)\n", | |
" \n", | |
" return l\n", | |
"\n", | |
"def rot123(l):\n", | |
" PROC=True\n", | |
" \n", | |
" print('status:shift')\n", | |
" l.sort()\n", | |
" ll=[]\n", | |
" for ps in l:\n", | |
" ll.append(ps)\n", | |
" \n", | |
" for ps in l:\n", | |
" if ps in l:\n", | |
" for qs in ll:\n", | |
" if ps!=qs:\n", | |
"# if shift(ps,qs) and (ps in l):\n", | |
" if shift(ps,qs):\n", | |
" l.remove(ps)\n", | |
" ll.remove(ps)\n", | |
" if PROC:\n", | |
" print(len(l))\n", | |
" break\n", | |
"\n", | |
" print('status:srot1')\n", | |
" ll=[]\n", | |
" for ps in l:\n", | |
" ll.append(ps)\n", | |
" \n", | |
" for ps in l:\n", | |
" if ps in l:\n", | |
" q1=rot1(ps)\n", | |
" for qs in ll:\n", | |
" if ps!=qs:\n", | |
"# if shift(q1,qs) and (ps in l):\n", | |
" if shift(q1,qs):\n", | |
" l.remove(ps)\n", | |
" ll.remove(ps)\n", | |
" if PROC:\n", | |
" print(len(l))\n", | |
" break\n", | |
"\n", | |
" print('status:rot2')\n", | |
" ll=[]\n", | |
" for ps in l:\n", | |
" ll.append(ps)\n", | |
" \n", | |
" for ps in l:\n", | |
" if ps in l:\n", | |
" q2=rot2(ps)\n", | |
" for qs in ll:\n", | |
" if ps!=qs:\n", | |
"# if shift(q2,qs) and (ps in l):\n", | |
" if shift(q2,qs):\n", | |
" l.remove(ps)\n", | |
" ll.remove(ps)\n", | |
" if PROC:\n", | |
" print(len(l))\n", | |
" break\n", | |
"\n", | |
" print('status:rot3') \n", | |
" ll=[]\n", | |
" for ps in l:\n", | |
" ll.append(ps)\n", | |
" \n", | |
" for ps in l:\n", | |
" if ps in l:\n", | |
" q3=rot3(ps)\n", | |
" for qs in ll:\n", | |
" if ps!=qs:\n", | |
"# if shift(q3,qs) and (ps in l):\n", | |
" if shift(q3,qs):\n", | |
" l.remove(ps)\n", | |
" ll.remove(ps)\n", | |
" print(len(l))\n", | |
" break\n", | |
" \n", | |
" return l\n", | |
"\n", | |
"def revxy(l):\n", | |
" for ps in l:\n", | |
" q1=revx(ps)\n", | |
" for qs in l:\n", | |
" if ps!=qs:\n", | |
" if shift(q1,qs) and (ps in l):\n", | |
" l.remove(ps)\n", | |
" break\n", | |
"\n", | |
" for ps in l:\n", | |
" q1=revy(ps)\n", | |
" for qs in l:\n", | |
" if ps!=qs:\n", | |
" if shift(q1,qs) and (ps in l):\n", | |
" l.remove(ps)\n", | |
" break\n", | |
" return l\n", | |
"\n", | |
"def plot2d(s):\n", | |
" for f in s:\n", | |
" x, y = zip(*f)\n", | |
" plt.scatter(x, y,marker=\",\",s=3000)\n", | |
" plt.show()\n", | |
"\n", | |
" print('')\n", | |
" return\n", | |
"\n", | |
"def output(l):\n", | |
" s=[]\n", | |
" for ps in l:\n", | |
" s.append(set(tuple(ps)))\n", | |
" \n", | |
" print(s)\n", | |
" return s\n", | |
"\n", | |
"SR=False\n", | |
"SF=False\n", | |
"\n", | |
"o=(0,0)\n", | |
"s1=[{o}]\n", | |
"\n", | |
"l2=[]\n", | |
"l2=prep(s1,l2,2)\n", | |
"l2=rot123(l2)\n", | |
"l2=rot123(l2)\n", | |
"if SR==True:\n", | |
" l2=revxy(l2)\n", | |
"s2=output(l2) \n", | |
"dbcheck(s2,2)\n", | |
"if SF==True:\n", | |
" plot2d(s2)\n", | |
"\n", | |
"l3=[]\n", | |
"l3=prep(s2,l3,3)\n", | |
"l3=rot123(l3)\n", | |
"l3=rot123(l3)\n", | |
"if SR==True:\n", | |
" l3=revxy(l3)\n", | |
"s3=output(l3)\n", | |
"dbcheck(s3,3)\n", | |
"if SF==True:\n", | |
" plot2d(s3)\n", | |
"\n", | |
"l4=[]\n", | |
"l4=prep(s3,l4,4)\n", | |
"l4=rot123(l4)\n", | |
"l4=rot123(l4)\n", | |
"if SR==True:\n", | |
" l4=revxy(l4)\n", | |
"s4=output(l4)\n", | |
"dbcheck(s4,4)\n", | |
"if SF==True:\n", | |
" plot2d(s4)\n", | |
"\n", | |
"l5=[]\n", | |
"l5=prep(s4,l5,5)\n", | |
"l5=rot123(l5)\n", | |
"l5=rot123(l5)\n", | |
"if SR==True:\n", | |
" l5=revxy(l5)\n", | |
"s5=output(l5)\n", | |
"dbcheck(s5,5)\n", | |
"if SF==True:\n", | |
" plot2d(s5)\n", | |
"\n", | |
"\n", | |
"l6=[]\n", | |
"l6=prep(s5,l6,6)\n", | |
"l6=rot123(l6)\n", | |
"l6=rot123(l6)\n", | |
"if SR==True:\n", | |
" l5=revxy(l6)\n", | |
"s6=output(l6)\n", | |
"dbcheck(s6,6)\n", | |
"if SF==True:\n", | |
" plot2d(s6)\n", | |
"\n", | |
"\"\"\"\n", | |
"l7=[]\n", | |
"l7=prep(s6,l7,7)\n", | |
"l7=rot123(l7)\n", | |
"l7=rot123(l7)\n", | |
"if SR==True:\n", | |
" l7=revxy(l7)\n", | |
"s7=output(l7)\n", | |
"dbcheck(s7,7)\n", | |
"if SF==True:\n", | |
" plot2d(s7)\n", | |
"\n", | |
"l8=[]\n", | |
"l8=prep(s7,l8,8)\n", | |
"l8=rot123(l8)\n", | |
"l8=rot123(l8)\n", | |
"if SR==True:\n", | |
" l8=revxy(l8)\n", | |
"s8=output(l8)\n", | |
"dbcheck(s8,8)\n", | |
"if SF==True:\n", | |
" plot2d(s8)\n", | |
"\n", | |
"\n", | |
"l9=[]\n", | |
"l9=prep(s8,l9,9)\n", | |
"l9=rot123(l9)\n", | |
"l9=rot123(l9)\n", | |
"if SR==True:\n", | |
" l9=revxy(l9)\n", | |
"s9=output(l9)\n", | |
"dbcheck(s9,9)\n", | |
"if SF==True:\n", | |
" plot2d(s9)\n", | |
"\n", | |
"\n", | |
"l10=[]\n", | |
"l10=prep(s9,l10,10)\n", | |
"l10=rot123(l10)\n", | |
"l10=rot123(l10)\n", | |
"if SR==True:\n", | |
" l10=revxy(l10)\n", | |
"s10=output(l10)\n", | |
"dbcheck(s10,10)\n", | |
"if SF==True:\n", | |
" plot2d(s10)\n", | |
"\"\"\"\n", | |
"print('')\n" | |
] | |
} | |
], | |
"metadata": { | |
"kernelspec": { | |
"display_name": "Python 3", | |
"language": "python", | |
"name": "python3" | |
} | |
}, | |
"nbformat": 4, | |
"nbformat_minor": 2 | |
} |
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