{"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$$\u0027]]\n }\n });\n\u003c/script\u003e\n\u003cscript async src\u003d\"https://mathjax.codeforces.org/MathJax.js?config\u003dTeX-AMS-MML_HTMLorMML\" type\u003d\"text/javascript\"\u003e\u003c/script\u003e","sections":[{"title":"","value":{"format":"HTML","content":"\u003cdiv class\u003d\"panel_content\"\u003eBobo has $n$ tuples $(a_1, b_1, c_1), (a_2, b_2, c_2), \\dots, (a_n, b_n, c_n)$.\u003cbr\u003eHe would like to find the lexicographically smallest permutation $p_1, p_2, \\dots, p_n$ of $1, 2, \\dots, n$ such that for $i \\in \\{2, 3, \\dots, n\\}$ it holds that\u003cbr\u003e$$\\frac{a_{p_{i - 1}} + b_{p_{i - 1}}}{a_{p_{i - 1}} + b_{p_{i - 1}} + c_{p_{i - 1}}} \\leq \\frac{a_{p_i} + b_{p_i}}{a_{p_i} + b_{p_i} + c_{p_i}}.$$\u003cbr\u003e\u003c/div\u003e"}},{"title":"Input","value":{"format":"HTML","content":"The input consists of several test cases and is terminated by end-of-file.\u003cbr\u003e\u003cbr\u003eThe first line of each test case contains an integer $n$.\u003cbr\u003eThe $i$-th of the following $n$ lines contains $3$ integers $a_i$, $b_i$ and $c_i$.\u003cbr\u003e"}},{"title":"Output","value":{"format":"HTML","content":"For each test case, print $n$ integers $p_1, p_2, \\dots, p_n$ seperated by spaces.\u003cbr\u003eDO NOT print trailing spaces.\u003cbr\u003e\u003cbr\u003e## Constraint\u003cbr\u003e\u003cbr\u003e* $1 \\leq n \\leq 10^3$\u003cbr\u003e* $1 \\leq a_i, b_i, c_i \\leq 2 \\times 10^9$\u003cbr\u003e* The sum of $n$ does not exceed $10^4$.\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\u003e2\r\n1 1 1\r\n1 1 2\r\n2\r\n1 1 2\r\n1 1 1\r\n3\r\n1 3 1\r\n2 2 1\r\n3 1 1\r\n\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003e2 1\r\n1 2\r\n1 2 3\r\n\u003c/pre\u003e\u003c/td\u003e\n \u003c/tr\u003e\n\u003c/tbody\u003e\n\u003c/table\u003e\n"}}]}