{"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\"\u003eWe define a sequence $F$:\u003cbr\u003e\u003cbr\u003e$\\cdot$ $F_0\u003d0, F_1\u003d1$;\u003cbr\u003e$\\cdot$ $F_n\u003dF_{n-1}+F_{n-2}\\ (n\\geq 2)$.\u003cbr\u003e\u003cbr\u003eGive you an integer $k$, if a positive number $n$ can be expressed by\u003cbr\u003e$n\u003dF_{a_1}+F_{a_2}+...+F_{a_k}$ where $0\\leq a_1 \\leq a_2 \\leq \\dots \\leq a_k$, this positive number is $mjf-good$. Otherwise, this positive number is $mjf-bad$.\u003cbr\u003eNow, give you an integer $k$, you task is to find the minimal positive $mjf-bad$ number.\u003cbr\u003eThe answer may be too large. Please print the answer modulo 998244353.\u003cbr\u003e\u003c/div\u003e"}},{"title":"Input","value":{"format":"HTML","content":"There are about 500 test cases, end up with EOF.\u003cbr\u003eEach test case includes an integer $k$ which is described above. ($1\\leq k \\leq 10^9$)\u003cbr\u003e"}},{"title":"Output","value":{"format":"HTML","content":"For each case, output the minimal $mjf-bad$ number mod 998244353.\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\u003e1\r\n\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003e4\r\n\u003c/pre\u003e\u003c/td\u003e\n \u003c/tr\u003e\n\u003c/tbody\u003e\n\u003c/table\u003e\n"}}]}