{"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\u003eIt is always fun to play with dice, here is one interesting game:\u003c/p\u003e\u003cp\u003eYou are given \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003en\u003c/i\u003e\u003c/span\u003e fair dice with 6 faces, the faces does not necessarily have values from 1 to 6 written on them. instead, they can have any values from 1 to 100 written on them.\u003c/p\u003e\u003cp\u003eSuppose you threw the \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003en\u003c/i\u003e\u003c/span\u003e dice one after another, let us define the result of the throws as the multiplication of the numbers you get from each dice mod \u003cspan class\u003d\"tex-span\"\u003e10\u003csup class\u003d\"upper-index\"\u003e9\u003c/sup\u003e + 7\u003c/span\u003e. \u003c/p\u003e\u003cp\u003eYou task is to find how many different ways you can get the result of the dice throws equal to \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003ex\u003c/i\u003e\u003c/span\u003e.\u003c/p\u003e"}},{"title":"Input","value":{"format":"HTML","content":"\u003cp\u003eThe first line contains an integer \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003eT\u003c/i\u003e\u003c/span\u003e, where \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003eT\u003c/i\u003e\u003c/span\u003e is the number of test cases.\u003c/p\u003e\u003cp\u003eThe first line of each test case contains two integers \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003en\u003c/i\u003e\u003c/span\u003e and \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003ex\u003c/i\u003e\u003c/span\u003e \u003cspan class\u003d\"tex-span\"\u003e(1 ≤ \u003ci\u003en\u003c/i\u003e ≤ 14)\u003c/span\u003e \u003cspan class\u003d\"tex-span\"\u003e(0 ≤ \u003ci\u003ex\u003c/i\u003e \u0026lt; 10\u003csup class\u003d\"upper-index\"\u003e9\u003c/sup\u003e + 7)\u003c/span\u003e, where \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003en\u003c/i\u003e\u003c/span\u003e is the number of the dice and \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003ex\u003c/i\u003e\u003c/span\u003e is the required result from the throws.\u003c/p\u003e\u003cp\u003eThen \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003en\u003c/i\u003e\u003c/span\u003e lines follow, the \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003ei\u003c/i\u003e\u003csup class\u003d\"upper-index\"\u003e\u003ci\u003eth\u003c/i\u003e\u003c/sup\u003e\u003c/span\u003e line contains 6 integers \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003ef\u003c/i\u003e\u003csub class\u003d\"lower-index\"\u003e\u003ci\u003ei\u003c/i\u003e1\u003c/sub\u003e, \u003ci\u003ef\u003c/i\u003e\u003csub class\u003d\"lower-index\"\u003e\u003ci\u003ei\u003c/i\u003e2\u003c/sub\u003e, ..., \u003ci\u003ef\u003c/i\u003e\u003csub class\u003d\"lower-index\"\u003e\u003ci\u003ei\u003c/i\u003e6\u003c/sub\u003e\u003c/span\u003e \u003cspan class\u003d\"tex-span\"\u003e(1 ≤ \u003ci\u003ef\u003c/i\u003e\u003csub class\u003d\"lower-index\"\u003e\u003ci\u003eij\u003c/i\u003e\u003c/sub\u003e ≤ 100)\u003c/span\u003e, giving the values of \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003ei\u003c/i\u003e\u003csup class\u003d\"upper-index\"\u003e\u003ci\u003eth\u003c/i\u003e\u003c/sup\u003e\u003c/span\u003e dice\u0027s faces.\u003c/p\u003e"}},{"title":"Output","value":{"format":"HTML","content":"\u003cp\u003eFor each test case, print a single line containing how many different ways you can get the result of the dice throws equal to \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003ex\u003c/i\u003e\u003c/span\u003e\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\u003e3\n3 9\n1 2 3 4 5 6\n1 2 3 4 5 6\n1 2 3 4 5 6\n5 6\n1 2 9 9 9 9\n1 2 9 9 9 9\n1 3 9 9 9 9\n1 3 9 9 9 9\n1 6 9 9 9 9\n5 999999937\n100 1 1 1 1 1\n100 1 1 1 1 1\n100 1 1 1 1 1\n100 1 1 1 1 1\n100 1 1 1 1 1\n\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003e3\n5\n1\n\u003c/pre\u003e\u003c/td\u003e\n \u003c/tr\u003e\n\u003c/tbody\u003e\n\u003c/table\u003e\n"}}]}