{"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\"\u003eOne day, you, a clever boy, feel bored in your math class, and then fall asleep without your control. In your dream, you meet Mr. Frog, an elder man. He has a problem for you.\u003cbr\u003e\u003cbr\u003eHe gives you two positive integers A and B, and your task is to find all pairs of integers (C, D), such that $A \\leq C \\leq B,A \\leq D \\leq B$ and $\\frac{A}{B} +\\frac{B}{A} \\leq \\frac{C}{D} + \\frac{D}{C}$\u003c/div\u003e"}},{"title":"Input","value":{"format":"HTML","content":"first line contains only one integer T ($T\\leq 125$), which indicates the number of test cases. Each test case contains two integers A and B ($1 \\leq A \\leq B \\leq 10^{18}$)."}},{"title":"Output","value":{"format":"HTML","content":"For each test case, first output one line \"Case #x:\", where x is the case number (starting from 1). \u003cbr\u003e\u003cbr\u003eThen in a new line, print an integer s indicating the number of pairs you find.\u003cbr\u003e\u003cbr\u003eIn each of the following s lines, print a pair of integers C and D. pairs should be sorted by C, and then by D in ascending order.\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\u003e2\r\n10 10\r\n9 27\r\n\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003eCase #1:\r\n1\r\n10 10\r\nCase #2:\r\n2\r\n9 27\r\n27 9\r\n\u003c/pre\u003e\u003c/td\u003e\n \u003c/tr\u003e\n\u003c/tbody\u003e\n\u003c/table\u003e\n"}}]}