{"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\"\u003eZY found a weird segment tree with range [1, n].\u003cbr\u003eFor one node [a, b] (a\u0026lt;b) we choose a random integer x in range [a, b), seperate the segment into [a,x] and [x+1,b].\u003cbr\u003eWhile doing query on this segment tree, bad thing happens. For one query [l, r]. If we want to obtain the information of the range [l, r], what is the expected number of nodes in the segment tree that would be visited?\u003cbr\u003eFor example, when querying range [2,4] in this segment tree, we will visit nodes in red.\u003cbr\u003e\u003ccenter\u003e\u003cimg style\u003d\"max-width:100%;\" src\u003d\"CDN_BASE_URL/b3e6349ee98e5dda3f3bc9f87bc27e67?v\u003d1714286856\"\u003e\u003c/center\u003e \u003c/div\u003e"}},{"title":"Input","value":{"format":"HTML","content":"The first line contains two integer n,q.\u003cbr\u003eThe following q lines each contain a query interval [l,r].\u003cbr\u003e$1 \\leq n,q \\leq 10^6$.\u003cbr\u003e"}},{"title":"Output","value":{"format":"HTML","content":"For each query, output the expected number of visited nodes in a line, modulo 998244353."}},{"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 3\r\n1 1\r\n2 2\r\n1 2\r\n\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003e2\r\n2\r\n1\r\n\u003c/pre\u003e\u003c/td\u003e\n \u003c/tr\u003e\n\u003c/tbody\u003e\n\u003c/table\u003e\n"}}]}