{"trustable":true,"prependHtml":"\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 async src\u003d\"https://mathjax.codeforces.org/MathJax.js?config\u003dTeX-AMS-MML_HTMLorMML\" type\u003d\"text/javascript\"\u003e\u003c/script\u003e","sections":[{"title":"","value":{"format":"HTML","content":"\u003cdiv class\u003d\"panel_content\"\u003eIn addition fond of programing, Jack also loves painting. He likes to draw many interesting graphics on the paper.\u003cbr\u003eOne day,Jack found a new interesting graph called Palindrome graph. No matter how many times to flip or rotate 90 degrees, the palindrome graph are always unchanged.\u003cbr\u003eJack took a paper with n*n grid and K kinds of pigments.Some of the grid has been filled with color and can not be modified.Jack want to know:how many ways can he paint a palindrome graph?\u003c/div\u003e"}},{"title":"Input","value":{"format":"HTML","content":"There are several test cases.\u003cbr\u003eFor each test case,there are three integer n m k(0\u0026lt;n\u0026lt;\u003d10000,0\u0026lt;\u003dm\u0026lt;\u003d2000,0\u0026lt;k\u0026lt;\u003d1000000), indicate n*n grid and k kinds of pigments.\u003cbr\u003eThen follow m lines,for each line,there are 2 integer i,j.indicated that grid(i,j) (0\u0026lt;\u003di,j\u0026lt;n) has been filled with color.\u003cbr\u003eYou can suppose that jack have at least one way to paint a palindrome graph."}},{"title":"Output","value":{"format":"HTML","content":"For each case,print a integer in a line,indicate the number of ways jack can paint. The result can be very large, so print the result modulo 100 000 007."}},{"title":"Sample","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 0 2\r\n4 2 3\r\n1 1\r\n3 1\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003e8\r\n3\u003c/pre\u003e\u003c/td\u003e\n \u003c/tr\u003e\n\u003c/tbody\u003e\n\u003c/table\u003e\n"}}]}