{"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\"\u003eCharles enjoys learning. He often goes to the website Wikipedia to study computer science. Just now Charles seriously studied a series of expressions, in which algebraic expression has a great influence on him.\u003cbr\u003e\u003cbr\u003eHe is curious about how many different algebraic expressions built up from $n$ distinct variables, elementary arithmetic operations (i.e. addition, subtraction, multiplication and division), and brackets such that each variable appears exactly once and each operation is after a variable or a pair of brackets. Can you help him calculate the answer in modulo $(10^9 + 7)$?\u003cbr\u003e\u003cbr\u003eTwo algebraic expressions in this problem are considered as equivalent if and only if they can be simplified as the same rational expression. For example, assuming $a$, $b$, $c$ and $d$ are variables, $(a - d) / (b - c)$ is equivalent to $(d - a) / (c - b)$, $a / (b - c) * d$ is equivalent to $a / ((b - c) / d)$ but $a / b + c / d$ is not equivalent to $d / c + b / a$.\u003c/div\u003e"}},{"title":"Input","value":{"format":"HTML","content":"The first line contains one integer $T$, indicating the number of test cases.\u003cbr\u003eEach of the following $T$ lines describes a test case and contains only one integer $n$.\u003cbr\u003e$1 \\leq T, n \\leq 60000$.\u003cbr\u003e"}},{"title":"Output","value":{"format":"HTML","content":"For each test case, output the answer modulo $(10^9 + 7)$ in one line."}},{"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\u003e6\r\n1\r\n2\r\n3\r\n4\r\n5\r\n6\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003e1\r\n6\r\n68\r\n1170\r\n27142\r\n793002\u003c/pre\u003e\u003c/td\u003e\n \u003c/tr\u003e\n\u003c/tbody\u003e\n\u003c/table\u003e\n"}}]}