{"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\"\u003e给你一个二元组$(a,b)$,支持AB两种操作,分别是将其变成$(a,2b-a)$和$(2a-b,b)$。问能否通过大于等于零次操作将其变成$(c,d)$。\u003c/div\u003e"}},{"title":"Input","value":{"format":"HTML","content":"第一行一个正整数$T(T\\leq 8 \\times 10^4)$表示数据组数。\u003cbr\u003e\u003cbr\u003e接下来$T$行,每行$4$个整数$a, b, c, d (-10^{18} \\leq a, b, c, d\\leq 10^{18})$。"}},{"title":"Output","value":{"format":"HTML","content":"对于每组数据,如果有解,首先输出一行Yes,然后输出一行由$AB$构成的字符串,表示一系列操作。如果有多解,输出长度最短的解,如果有多个长度最短的解,输出字典序最小的。如果无解,输出No。"}},{"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\u003e3\r\n0 1 2 3\r\n0 1 0 1\r\n0 1 -1 3\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003eNo\r\nYes\r\n\r\nYes\r\nBA\u003c/pre\u003e\u003c/td\u003e\n \u003c/tr\u003e\n\u003c/tbody\u003e\n\u003c/table\u003e\n"}}]}