{"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, Master oy created a new function to celebrate his becoming a \u0027huntian\u0027 in majsoul. \u003cbr\u003e\u003cbr\u003e$f(n,a,b)\u003d\\sum_{i\u003d1}^n \\sum_{j\u003d1}^i gcd(i^a-j^a,i^b-j^b)[gcd(i,j)\u003d1]\\%(10^9+7)$ \u003cbr\u003e\u003cbr\u003eGiven n, a and b, Master oy wanted Newbie jj who was still a \u0027chuxin\u0027 to answer the value of $f(n,a,b)$.\u003c/div\u003e"}},{"title":"Input","value":{"format":"HTML","content":"There are multiple test cases.\u003cbr\u003e\u003cbr\u003eThe first line contains an integer T, indicating the number of test cases.\u003cbr\u003e\u003cbr\u003eFor each test case, there are three positive integers n, a and b which are separated by spaces. It\u0027s guaranteed that $a$ and $b$ are coprime.\u003cbr\u003e\u003cbr\u003e$1 \\le n,a,b \\le 10^9$\u003cbr\u003e\u003cbr\u003e$T\u003d10^4$, but there are only 10 test cases that n is over $10^6$."}},{"title":"Output","value":{"format":"HTML","content":"For each test case, an integer in one line representing your answer."}},{"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 2 3\r\n100 2 3\r\n\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003e0\r\n101542\u003c/pre\u003e\u003c/td\u003e\n \u003c/tr\u003e\n\u003c/tbody\u003e\n\u003c/table\u003e\n"}}]}