{"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\"\u003eHere is a simple math. You are given an integer n. Your task is to calculate the following:\u003cbr\u003e\u003ccenter\u003e\u003cimg style\u003d\"max-width:100%;\" src\u003d\"CDN_BASE_URL/d80ab727154bedd150adfe505815b712?v\u003d1714672972\"\u003e\u003c/center\u003e\u003c/div\u003e"}},{"title":"Input","value":{"format":"HTML","content":"The first line contains an integer T (1≤T≤$10^4$), denoting the number of test cases. The only line of each test case contains an integer n (2≤n≤$10^8$)."}},{"title":"Output","value":{"format":"HTML","content":"In fact, the answer can be represented as a fraction Q/P, where $gcd(P,Q)\u003d1$ and P,Q\u0026gt;0. Since these numbers can be very huge for large n, you are only required to print $Q \\cdot P^{-1}$ mod 998244353. \u003cbr\u003e\u003cbr\u003eFor each test case, print a single line with the calculated value.\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\u003e3\r\n2\r\n3\r\n4\r\n\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003e499122177\r\n1\r\n831870295\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\u003eReal answer for sample test cases are 1/2,1,5/6 respectively.\u003cbr\u003e"}}]}