{"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\"\u003eLucida has a sequence of $n$ integers $a_1, a_2, \\dots, a_n$. He asks you to perform two types of operations for him, which are described as follows:\u003cbr\u003e\u003cbr\u003e\u003cul\u003e\u003cbr\u003e\u003cli\u003e$\\texttt{1 L R}$, add $lowbit(a_i)$ to each $a_i$ in the interval $[L, R]$.\u003c/li\u003e\u003cbr\u003e\u003cli\u003e$\\texttt{2 L R}$, query the sum of the numbers in the interval $[L, R]$.\u003c/li\u003e\u003cbr\u003e\u003c/ul\u003e\u003cbr\u003e$lowbit(x)$ is defined as the largest power of 2 that divides $x$. \u003cbr\u003eFor example, lowbit(4)\u003d4, lowbit(5)\u003d1. Specially, lowbit(0)\u003d0.\u003cbr\u003e\u003cbr\u003eLucida wants you to give the answer modulo $998244353$ for each of his queries.\u003c/div\u003e"}},{"title":"Input","value":{"format":"HTML","content":"This problem contains multiple test cases.\u003cbr\u003e\u003cbr\u003eThe first line contains a single integer $T$ ($1\\leq T \\leq 20$) indicating the number of test cases.\u003cbr\u003e\u003cbr\u003eFor each case, the first line contains an integer $n$ ($1 \\leq n \\leq 10^5$), the length of the sequence.\u003cbr\u003e\u003cbr\u003eThe next line contains $n$ integers $a_i$ ($1 \\leq a_i \u0026lt; 998244353$) separated by spaces, representing the sequence.\u003cbr\u003e\u003cbr\u003eThe next line contains an integer $m$ ($1 \\leq m \\leq 10^5$), the number of operations.\u003cbr\u003e\u003cbr\u003eThe next $m$ lines, each line contains 3 integers $op, L, R$ ($1 \\leq op \\leq 2$, $1 \\leq L \\leq R \\leq n$), represents one operation. The specific meaning is described above."}},{"title":"Output","value":{"format":"HTML","content":"For each query, output a line contains the answer 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\u003e1\r\n5\r\n1 2 3 4 5\r\n5\r\n2 2 4\r\n1 1 3\r\n2 2 4\r\n1 1 5\r\n2 4 5\r\n\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003e9\r\n12\r\n14\r\n\u003c/pre\u003e\u003c/td\u003e\n \u003c/tr\u003e\n\u003c/tbody\u003e\n\u003c/table\u003e\n"}}]}