Created
April 17, 2021 03:58
-
-
Save vors/d294ea1709c8f3d31c7aea8272cb2982 to your computer and use it in GitHub Desktop.
hello.ipynb
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
{ | |
"cells": [ | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"The intuition is that it's useful to solve the following equation." | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 1, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"x = 808017424794512875886459904961710757005754368000000000" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 2, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"[[30, 6, 4, 10], [22, -2, 8, 8], [-16, -6, -5, -4], [8, 28, 10, 27]]" | |
] | |
}, | |
"execution_count": 2, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"def exp(x):\n", | |
" res = [[0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0]]\n", | |
" for i in range(0, 4):\n", | |
" for j in range(0, 4):\n", | |
" for k in range(0, 4):\n", | |
" res[i][j] += x[i][k] * x[k][j]\n", | |
" return res\n", | |
"\n", | |
"A = [[1, 3, 2, 4], [3, 1, 4, 2], [2, -4, 1, -2], [4, 2, -3, 1]]\n", | |
"exp(A)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 3, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"class Matrix:\n", | |
" def __init__(self, x):\n", | |
" self.A = x\n", | |
" \n", | |
" def mult(self, B):\n", | |
" res = [[0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0]]\n", | |
" for i in range(0, 4):\n", | |
" for j in range(0, 4):\n", | |
" for k in range(0, 4):\n", | |
" res[i][j] += self.A[i][k] * B[k][j]\n", | |
" return Matrix(res)\n", | |
"\n", | |
"A = [\n", | |
" [1, 3, 2, 4],\n", | |
" [3, 1, 4, 2],\n", | |
" [2, -4, 1, -2],\n", | |
" [4, 2, -2, 1]\n", | |
"]" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 4, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"m = Matrix(A)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": null, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"1024\n", | |
"2048\n", | |
"3072\n", | |
"4096\n", | |
"5120\n", | |
"6144\n", | |
"7168\n", | |
"8192\n", | |
"9216\n", | |
"10240\n", | |
"11264\n", | |
"12288\n", | |
"13312\n", | |
"14336\n", | |
"15360\n", | |
"16384\n", | |
"17408\n", | |
"18432\n", | |
"19456\n", | |
"20480\n", | |
"21504\n", | |
"22528\n", | |
"23552\n", | |
"24576\n", | |
"25600\n", | |
"26624\n", | |
"27648\n", | |
"28672\n", | |
"29696\n", | |
"30720\n", | |
"31744\n", | |
"32768\n", | |
"33792\n", | |
"34816\n", | |
"35840\n", | |
"36864\n", | |
"37888\n", | |
"38912\n", | |
"39936\n", | |
"40960\n", | |
"41984\n", | |
"43008\n", | |
"44032\n", | |
"45056\n", | |
"46080\n", | |
"47104\n", | |
"48128\n", | |
"49152\n", | |
"50176\n", | |
"51200\n", | |
"52224\n", | |
"53248\n", | |
"54272\n", | |
"55296\n", | |
"56320\n", | |
"57344\n", | |
"58368\n", | |
"59392\n", | |
"60416\n", | |
"61440\n", | |
"62464\n", | |
"63488\n", | |
"64512\n", | |
"65536\n", | |
"66560\n", | |
"67584\n", | |
"68608\n", | |
"69632\n", | |
"70656\n", | |
"71680\n", | |
"72704\n", | |
"73728\n", | |
"74752\n", | |
"75776\n", | |
"76800\n", | |
"77824\n", | |
"78848\n", | |
"79872\n", | |
"80896\n", | |
"81920\n", | |
"82944\n", | |
"83968\n", | |
"84992\n", | |
"86016\n", | |
"87040\n", | |
"88064\n", | |
"89088\n", | |
"90112\n", | |
"91136\n", | |
"92160\n", | |
"93184\n", | |
"94208\n", | |
"95232\n", | |
"96256\n", | |
"97280\n", | |
"98304\n", | |
"99328\n", | |
"100352\n", | |
"101376\n", | |
"102400\n", | |
"103424\n", | |
"104448\n" | |
] | |
} | |
], | |
"source": [ | |
"from itertools import chain\n", | |
"B = Matrix(A)\n", | |
"is_done = False\n", | |
"counter = 0\n", | |
"while True:\n", | |
" B = B.mult(A)\n", | |
" new_world = list(chain.from_iterable(B.A))\n", | |
" if x in new_world:\n", | |
" print(\"Hello World!\")\n", | |
" is_done = True\n", | |
" break\n", | |
" counter += 1\n", | |
" if counter % 1024 == 0:\n", | |
" print(counter)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": null, | |
"metadata": {}, | |
"outputs": [], | |
"source": [] | |
} | |
], | |
"metadata": { | |
"kernelspec": { | |
"display_name": "Python 3", | |
"language": "python", | |
"name": "python3" | |
}, | |
"language_info": { | |
"codemirror_mode": { | |
"name": "ipython", | |
"version": 3 | |
}, | |
"file_extension": ".py", | |
"mimetype": "text/x-python", | |
"name": "python", | |
"nbconvert_exporter": "python", | |
"pygments_lexer": "ipython3", | |
"version": "3.8.3" | |
} | |
}, | |
"nbformat": 4, | |
"nbformat_minor": 4 | |
} |
Sign up for free
to join this conversation on GitHub.
Already have an account?
Sign in to comment