{"trustable":true,"prependHtml":"\u003cstyle type\u003d\u0027text/css\u0027\u003e\n .input, .output {\n border: 1px solid #888888;\n }\n .output {\n margin-bottom: 1em;\n position: relative;\n top: -1px;\n }\n .output pre, .input pre {\n background-color: #EFEFEF;\n line-height: 1.25em;\n margin: 0;\n padding: 0.25em;\n }\n \u003c/style\u003e\n \u003clink rel\u003d\"stylesheet\" href\u003d\"//codeforces.org/s/96598/css/problem-statement.css\" type\u003d\"text/css\" /\u003e\u003cscript\u003e window.katexOptions \u003d { disable: true }; \u003c/script\u003e\n\u003cscript type\u003d\"text/x-mathjax-config\"\u003e\n MathJax.Hub.Config({\n tex2jax: {\n inlineMath: [[\u0027$$$\u0027,\u0027$$$\u0027], [\u0027$\u0027,\u0027$\u0027]],\n displayMath: [[\u0027$$$$$$\u0027,\u0027$$$$$$\u0027], [\u0027$$\u0027,\u0027$$\u0027]]\n }\n });\n\u003c/script\u003e\n\u003cscript type\u003d\"text/javascript\" async src\u003d\"https://mathjax.codeforces.org/MathJax.js?config\u003dTeX-AMS_HTML-full\"\u003e\u003c/script\u003e","sections":[{"title":"","value":{"format":"HTML","content":"\u003cp\u003eTo become the king of Codeforces, Kuroni has to solve the following problem.\u003c/p\u003e\u003cp\u003eHe is given $$$n$$$ numbers $$$a_1, a_2, \\dots, a_n$$$. Help Kuroni to calculate $$$\\prod_{1\\le i\u0026lt;j\\le n} |a_i - a_j|$$$. As result can be very big, output it modulo $$$m$$$.\u003c/p\u003e\u003cp\u003eIf you are not familiar with short notation, $$$\\prod_{1\\le i\u0026lt;j\\le n} |a_i - a_j|$$$ is equal to $$$|a_1 - a_2|\\cdot|a_1 - a_3|\\cdot$$$ $$$\\dots$$$ $$$\\cdot|a_1 - a_n|\\cdot|a_2 - a_3|\\cdot|a_2 - a_4|\\cdot$$$ $$$\\dots$$$ $$$\\cdot|a_2 - a_n| \\cdot$$$ $$$\\dots$$$ $$$\\cdot |a_{n-1} - a_n|$$$. In other words, this is the product of $$$|a_i - a_j|$$$ for all $$$1\\le i \u0026lt; j \\le n$$$.\u003c/p\u003e"}},{"title":"Input","value":{"format":"HTML","content":"\u003cp\u003eThe first line contains two integers $$$n$$$, $$$m$$$ ($$$2\\le n \\le 2\\cdot 10^5$$$, $$$1\\le m \\le 1000$$$)\u0026nbsp;— number of numbers and modulo.\u003c/p\u003e\u003cp\u003eThe second line contains $$$n$$$ integers $$$a_1, a_2, \\dots, a_n$$$ ($$$0 \\le a_i \\le 10^9$$$).\u003c/p\u003e"}},{"title":"Output","value":{"format":"HTML","content":"\u003cp\u003eOutput the single number\u0026nbsp;— $$$\\prod_{1\\le i\u0026lt;j\\le n} |a_i - a_j| \\bmod m$$$.\u003c/p\u003e"}},{"title":"Examples","value":{"format":"HTML","content":"\u003ctable class\u003d\u0027vjudge_sample\u0027\u003e\n\u003cthead\u003e\n \u003ctr\u003e\n \u003cth\u003eInput\u003c/th\u003e\n \u003cth\u003eOutput\u003c/th\u003e\n \u003c/tr\u003e\n\u003c/thead\u003e\n\u003ctbody\u003e\n \u003ctr\u003e\n \u003ctd\u003e\u003cpre\u003e2 10\n8 5\n\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003e3\u003c/pre\u003e\u003c/td\u003e\n \u003c/tr\u003e\n\u003c/tbody\u003e\n\u003c/table\u003e\n"}},{"title":"","value":{"format":"HTML","content":"\u003ctable class\u003d\u0027vjudge_sample\u0027\u003e\n\u003cthead\u003e\n \u003ctr\u003e\n \u003cth\u003eInput\u003c/th\u003e\n \u003cth\u003eOutput\u003c/th\u003e\n \u003c/tr\u003e\n\u003c/thead\u003e\n\u003ctbody\u003e\n \u003ctr\u003e\n \u003ctd\u003e\u003cpre\u003e3 12\n1 4 5\n\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003e0\u003c/pre\u003e\u003c/td\u003e\n \u003c/tr\u003e\n\u003c/tbody\u003e\n\u003c/table\u003e\n"}},{"title":"","value":{"format":"HTML","content":"\u003ctable class\u003d\u0027vjudge_sample\u0027\u003e\n\u003cthead\u003e\n \u003ctr\u003e\n \u003cth\u003eInput\u003c/th\u003e\n \u003cth\u003eOutput\u003c/th\u003e\n \u003c/tr\u003e\n\u003c/thead\u003e\n\u003ctbody\u003e\n \u003ctr\u003e\n \u003ctd\u003e\u003cpre\u003e3 7\n1 4 9\n\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003e1\u003c/pre\u003e\u003c/td\u003e\n \u003c/tr\u003e\n\u003c/tbody\u003e\n\u003c/table\u003e\n"}},{"title":"Note","value":{"format":"HTML","content":"\u003cp\u003eIn the first sample, $$$|8 - 5| \u003d 3 \\equiv 3 \\bmod 10$$$.\u003c/p\u003e\u003cp\u003eIn the second sample, $$$|1 - 4|\\cdot|1 - 5|\\cdot|4 - 5| \u003d 3\\cdot 4 \\cdot 1 \u003d 12 \\equiv 0 \\bmod 12$$$.\u003c/p\u003e\u003cp\u003eIn the third sample, $$$|1 - 4|\\cdot|1 - 9|\\cdot|4 - 9| \u003d 3 \\cdot 8 \\cdot 5 \u003d 120 \\equiv 1 \\bmod 7$$$.\u003c/p\u003e"}}]}