{"trustable":false,"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$$\u0027]]\n }\n });\n\u003c/script\u003e\n\u003cscript type\u003d\"text/javascript\" async src\u003d\"https://mathjax.codeforces.org/MathJax.js?config\u003dTeX-AMS_HTML-full\"\u003e\u003c/script\u003e","sections":[{"title":"","value":{"format":"HTML","content":"\u003cstyle type\u003d\u0027text/css\u0027\u003e .input, .output {border: 1px solid #888888;} .output {margin-bottom:1em;position:relative;top:-1px;} .output pre,.input pre {background-color:#EFEFEF;line-height:1.25em;margin:0;padding:0.25em;} .title {background-color:#FFFFFF;border-bottom: 1px solid #888888;font-family:arial;font-weight:bold;padding:0.25em;} \u003c/style\u003e \u003cscript type\u003d\"text/x-mathjax-config\"\u003e\n MathJax.Hub.Config({\n tex2jax: {inlineMath: [[\u0027$$$\u0027,\u0027$$$\u0027]], displayMath: [[\u0027$$$$$$\u0027,\u0027$$$$$$\u0027]]}\n });\n \u003c/script\u003e\n \u003cscript type\u003d\"text/javascript\" async\n src\u003d\"https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.1/MathJax.js?config\u003dTeX-AMS-MML_HTMLorMML\"\u003e\n \u003c/script\u003e\n\u003cp\u003e双十一来个,身为单身狗的hcc很不爽,他抓了q对情侣放进了一个迷宫中。这个迷宫有两个圆环构成,内层圆环被n堵墙分割成n个等面积的区域,外层圆环被m堵墙分隔层了m个等面积的区域,内外圆环在12点钟方向都有一堵墙.\u003c/p\u003e\n\u003ccenter\u003e \n \u003cimg class\u003d\"tex-graphics\" SRC\u003d\"CDN_BASE_URL/25ccb63d6235a6ad9990adbd836c6299?v\u003d1572819141\" style\u003d\"max-width: 100.0%;max-height: 100.0%;\"\u003e \n\u003c/center\u003e\n\u003cp\u003e内层区域的坐标按顺时针分别是(1,1), (1,2), ……, (1,n). 外层区域的坐标按顺时针分别是(2,1), (2,2), ……, (2,m) .为了更好的理解,可以看上图.\u003c/p\u003e\n\u003cp\u003e给你每对情侣的位置,你能告诉hcc这对情侣是否可以在不跨域墙的情况下相见.\u003c/p\u003e"}},{"title":"Input","value":{"format":"HTML","content":"\u003cp\u003e第一行输入n,m,q,分别代表内层外层的区域数和被抓的情侣对数.(1≤n,m≤10^18, 1≤q≤104)\u003c/p\u003e\n\u003cp\u003e接下来的q行 每行四个整数x1,y1,x2,y2,代表这对情侣的坐标(x1,y1),(x2,y2).\u003c/p\u003e"}},{"title":"Output","value":{"format":"HTML","content":"\u003cp\u003e对于每对情侣,如果他们能过相见,输出“YES”,否则输出“NO”.\u003c/p\u003e"}},{"title":"Example","value":{"format":"HTML","content":"\u003cdiv class\u003d\"sample-test\"\u003e\n \u003cdiv class\u003d\"input\"\u003e\n \u003cdiv class\u003d\"title\"\u003e\n Input\n \u003c/div\u003e\n \u003cpre\u003e4 6 3\n1 1 2 3\n2 6 1 2\n2 6 2 4\n\u003c/pre\u003e\n \u003c/div\u003e\n \u003cdiv class\u003d\"output\"\u003e\n \u003cdiv class\u003d\"title\"\u003e\n Output\n \u003c/div\u003e\n \u003cpre\u003eYES\nNO\nYES\n\u003c/pre\u003e\n \u003c/div\u003e\n\u003c/div\u003e"}},{"title":"Note","value":{"format":"HTML","content":"\u003cp\u003e样例如图\u003c/p\u003e"}}]}