{"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\"\u003e“WTF! While everyone has his girl(gay) friend, I only have my keyboard!” Tired of watching others\u0027 affair, Hillan burst into scream, which made him decide not to hold it back.\u003cbr\u003e“All right, I am giving you a question. If you answer correctly, I will be your girl friend.” After listening to Hillan, Girl replied, “What is the value of $\\sum_{i\u003d1}^n\\sum_{j\u003d1}^mf\\left(i,j\\right)$, where $f\\left(i,j\\right)\u003d0$ if $\\gcd\\left(i,j\\right)$ is a square number and $f\\left(i,j\\right)\u003d1$ if $\\gcd\\left(i,j\\right)$ is not a square number($\\gcd\\left(i,j\\right)$ means the greatest common divisor of x and y)?”\u003cbr\u003eBut Hillan didn\u0027t have enough Intelligence Quotient to give the right answer. So he turn to you for help.\u003cbr\u003e\u003c/div\u003e"}},{"title":"Input","value":{"format":"HTML","content":"The first line contains an integer $T\\left(1\\leq T\\leq10,000\\right)$——The number of the test cases.\u003cbr\u003eFor each test case, the only line contains two integers $n,m\\left(1\\leq n,m\\leq10,000,000\\right)$ with a white space separated.\u003cbr\u003e"}},{"title":"Output","value":{"format":"HTML","content":"For each test case, the only line contains a integer that is the answer.\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\n1 2333333\r\n10 10\r\n\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003e0\r\n33\u003c/pre\u003e\u003c/td\u003e\n \u003c/tr\u003e\n\u003c/tbody\u003e\n\u003c/table\u003e\n"}},{"title":"Hint","value":{"format":"HTML","content":"\u003cbr\u003eIn the first test case, obviously $f\\left(i,j\\right)$ always equals to 0, because $i$ always equals to 1 and $\\gcd\\left(i,j\\right)$ is always a square number(always equals to 1).\u003cbr\u003e"}}]}