{"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\"\u003eNoticeļ¼Don\u0027t output extra spaces at the end of one line.\u003cbr\u003e\u003cbr\u003eGiven $n, x, y$, please construct a permutation of length $n$, satisfying that:\u003cbr\u003e\u003cbr\u003e- The length of LIS(Longest Increasing Subsequence) is equal to $x$.\u003cbr\u003e- The length of LDS(Longest Decreasing Subsequence) is equal to $y$.\u003cbr\u003e\u003cbr\u003eIf there are multiple possible permutations satisfying all the conditions, print the lexicographically minimum one.\u003c/div\u003e"}},{"title":"Input","value":{"format":"HTML","content":"The first line contains an integer $T(1 \\leq T \\leq 100)$, indicating the number of test cases.\u003cbr\u003e\u003cbr\u003eEach test case contains one line, which contains three integers $n, x, y(1 \\leq n \\leq 10^5, 1 \\leq x, y \\leq n)$.\u003cbr\u003e"}},{"title":"Output","value":{"format":"HTML","content":"For each test case, the first line contains ``YES\u0027\u0027 or ``NO\u0027\u0027, indicating if the answer exists. If the answer exists, output another line which contains $n$ integers, indicating the permutation."}},{"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\u003e4\r\n10 1 10\r\n10 10 1\r\n10 5 5\r\n10 8 8\r\n\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003eYES\r\n10 9 8 7 6 5 4 3 2 1\r\nYES\r\n1 2 3 4 5 6 7 8 9 10\r\nYES\r\n1 2 3 5 4 10 9 8 7 6\r\nNO\r\n\u003c/pre\u003e\u003c/td\u003e\n \u003c/tr\u003e\n\u003c/tbody\u003e\n\u003c/table\u003e\n"}}]}