{"trustable":true,"prependHtml":"\u003cstyle type\u003d\u0027text/css\u0027\u003e\n .input, .output {\n border: 1px solid #888888;\n }\n .output {\n margin-bottom: 1em;\n position: relative;\n top: -1px;\n }\n .output pre, .input pre {\n background-color: #EFEFEF;\n line-height: 1.25em;\n margin: 0;\n padding: 0.25em;\n }\n \u003c/style\u003e\n \u003clink rel\u003d\"stylesheet\" href\u003d\"//codeforces.org/s/96598/css/problem-statement.css\" type\u003d\"text/css\" /\u003e\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$$\u0027]]\n }\n });\n\u003c/script\u003e\n\u003cscript type\u003d\"text/javascript\" async src\u003d\"https://mathjax.codeforces.org/MathJax.js?config\u003dTeX-AMS_HTML-full\"\u003e\u003c/script\u003e","sections":[{"title":"","value":{"format":"HTML","content":"\u003cp\u003eYou\u0027re given an array $$$a$$$ of length $$$n$$$. You can perform the following operations on it:\u003c/p\u003e\u003cul\u003e \u003cli\u003e choose an index $$$i$$$ $$$(1 \\le i \\le n)$$$, an integer $$$x$$$ $$$(0 \\le x \\le 10^6)$$$, and replace $$$a_j$$$ with $$$a_j+x$$$ for all $$$(1 \\le j \\le i)$$$, which means add $$$x$$$ to all the elements in the prefix ending at $$$i$$$. \u003c/li\u003e\u003cli\u003e choose an index $$$i$$$ $$$(1 \\le i \\le n)$$$, an integer $$$x$$$ $$$(1 \\le x \\le 10^6)$$$, and replace $$$a_j$$$ with $$$a_j \\% x$$$ for all $$$(1 \\le j \\le i)$$$, which means replace every element in the prefix ending at $$$i$$$ with the remainder after dividing it by $$$x$$$. \u003c/li\u003e\u003c/ul\u003e\u003cp\u003eCan you make the array \u003cspan class\u003d\"tex-font-style-bf\"\u003estrictly increasing\u003c/span\u003e in no more than $$$n+1$$$ operations?\u003c/p\u003e"}},{"title":"Input","value":{"format":"HTML","content":"\u003cp\u003eThe first line contains an integer $$$n$$$ $$$(1 \\le n \\le 2000)$$$, the number of elements in the array $$$a$$$.\u003c/p\u003e\u003cp\u003eThe second line contains $$$n$$$ space-separated integers $$$a_1$$$, $$$a_2$$$, $$$\\dots$$$, $$$a_n$$$ $$$(0 \\le a_i \\le 10^5)$$$, the elements of the array $$$a$$$.\u003c/p\u003e"}},{"title":"Output","value":{"format":"HTML","content":"\u003cp\u003eOn the first line, print the number of operations you wish to perform. On the next lines, you should print the operations.\u003c/p\u003e\u003cp\u003eTo print an adding operation, use the format \"$$$1$$$ $$$i$$$ $$$x$$$\"; to print a modding operation, use the format \"$$$2$$$ $$$i$$$ $$$x$$$\". If $$$i$$$ or $$$x$$$ don\u0027t satisfy the limitations above, or you use more than $$$n+1$$$ operations, you\u0027ll get \u003cspan class\u003d\"tex-font-style-it\"\u003ewrong answer\u003c/span\u003e verdict.\u003c/p\u003e"}},{"title":"Examples","value":{"format":"HTML","content":"\u003ctable class\u003d\u0027vjudge_sample\u0027\u003e\n\u003cthead\u003e\n \u003ctr\u003e\n \u003cth\u003eInput\u003c/th\u003e\n \u003cth\u003eOutput\u003c/th\u003e\n \u003c/tr\u003e\n\u003c/thead\u003e\n\u003ctbody\u003e\n \u003ctr\u003e\n \u003ctd\u003e\u003cpre\u003e3\n1 2 3\n\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003e0\u003c/pre\u003e\u003c/td\u003e\n \u003c/tr\u003e\n\u003c/tbody\u003e\n\u003c/table\u003e\n"}},{"title":"","value":{"format":"HTML","content":"\u003ctable class\u003d\u0027vjudge_sample\u0027\u003e\n\u003cthead\u003e\n \u003ctr\u003e\n \u003cth\u003eInput\u003c/th\u003e\n \u003cth\u003eOutput\u003c/th\u003e\n \u003c/tr\u003e\n\u003c/thead\u003e\n\u003ctbody\u003e\n \u003ctr\u003e\n \u003ctd\u003e\u003cpre\u003e3\n7 6 3\n\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003e2\n1 1 1\n2 2 4\n\u003c/pre\u003e\u003c/td\u003e\n \u003c/tr\u003e\n\u003c/tbody\u003e\n\u003c/table\u003e\n"}},{"title":"Note","value":{"format":"HTML","content":"\u003cp\u003eIn the first sample, the array is already increasing so we don\u0027t need any operations.\u003c/p\u003e\u003cp\u003eIn the second sample:\u003c/p\u003e\u003cp\u003eIn the first step: the array becomes $$$[8,6,3]$$$.\u003c/p\u003e\u003cp\u003eIn the second step: the array becomes $$$[0,2,3]$$$.\u003c/p\u003e"}}]}