{"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\"\u003eFarmer John is playing math game with cows. To help his cows learning addition and multiplication, he invented a new game. In the beginning, he would provide two number $a$ and $b$. After that, cows would report two number each turn. At the turn $i$, $i\\times a$ and $i \\times b$ should be reported. Once there exists an integer in the segment $[i \\times a, i \\times b]$, the game ends. Now, John wants to know after how many turns the game would end. So, he ask for your help.\u003c/div\u003e"}},{"title":"Input","value":{"format":"HTML","content":"The first line is the number of test cases. For each test case, there are two non-negative float-point numbers $a$ and $b$. The precision of these numbers are less than $300$ decimal places. It is guaranteed that $a \u0026lt; b$."}},{"title":"Output","value":{"format":"HTML","content":"For each test case, output an integer $n$ donating that the game will end in $n$ turns.\u003cbr\u003e"}},{"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\u003e1\r\n1.2 1.3\r\n\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003e4\r\n\u003c/pre\u003e\u003c/td\u003e\n \u003c/tr\u003e\n\u003c/tbody\u003e\n\u003c/table\u003e\n"}}]}