{"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\"\u003eYou are given three integers $p, a, b$, where $p$ is a prime number and $p-1$ only has prime factors $2$ and/or $3$. Please find the minimum positive integer $x$ such that $a^x \\equiv b \\pmod{p}$.\u003c/div\u003e"}},{"title":"Input","value":{"format":"HTML","content":"The first line contains an integer $T$ indicating there are $T$ tests. Each test consists of a single line containing three integers: $p, a, b$.\u003cbr\u003e\u003cbr\u003e* $T \\le 200$\u003cbr\u003e\u003cbr\u003e* $65537 \\le p \\le 10^{18}$\u003cbr\u003e\u003cbr\u003e* the prime factors of $p-1$ can only be $2$ or $3$\u003cbr\u003e\u003cbr\u003e* $2 \\le a, b \\le p-1$"}},{"title":"Output","value":{"format":"HTML","content":"For each test, output a line containing an integer $x$, representing the minimum positive value such that $a^x \\equiv b \\pmod{p}$. If there didn\u0027t exist any such number $x$, please output $-1$."}},{"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\u003e6\r\n65537 2 3\r\n65537 2 4\r\n65537 3 4\r\n65537 4 4\r\n65537 5 4\r\n666334875701477377 2 3\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003e-1\r\n2\r\n45056\r\n1\r\n36864\r\n1957714645490451\u003c/pre\u003e\u003c/td\u003e\n \u003c/tr\u003e\n\u003c/tbody\u003e\n\u003c/table\u003e\n"}}]}