{"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\"\u003eThere were a lot of balls in the factory of Ball Illusion Technology(BIT). Link, a boy, went there to get some balls, but suddenly, he found that there were too many ways to get balls.\u003cbr\u003e\u003cbr\u003eThere are $2n$ buckets in the factory. Link may get $kx$ balls from the $2x-1^{th}$ bucket, where $k$ is a non-negtive integer. He may also get at most $x$ balls from the $2x^{th}$ bucket.\u003cbr\u003e\u003cbr\u003eLink wanted to get $m$ balls, and he wondered how many ways there were to take out exactly $m$ balls. While Link is calculating the answer, he wants you to calculate it as well, and you should output the answer modulo $10^9+7$. \u003c/div\u003e"}},{"title":"Input","value":{"format":"HTML","content":"The input consists of multiple test cases. \u003cbr\u003e\u003cbr\u003eThe first line contains an integer $T$ ($1 \\leq T \\leq 10^5$) -- the number of test cases.\u003cbr\u003e\u003cbr\u003eEach test case contains two integers $n$ and $m$($1 \\leq n,m \\leq 10^6$).\u003cbr\u003e"}},{"title":"Output","value":{"format":"HTML","content":"For each test case, print the answer modulo $10^9+7$ in a single line.\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\u003e4\r\n1 1\r\n2 2\r\n3 3\r\n1000000 1000000\r\n\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003e2\r\n6\r\n20\r\n192151600\r\n\u003c/pre\u003e\u003c/td\u003e\n \u003c/tr\u003e\n\u003c/tbody\u003e\n\u003c/table\u003e\n"}}]}