{"trustable":true,"prependHtml":"\u003cstyle type\u003d\"text/css\"\u003e\n div.illustration {\n float: right;\n padding-left: 20px;\n }\n div.illustration .illustration {\n width: 100%;\n border-radius: 4px;\n }\n pre {\n display: block;\n margin: 0 0 10px;\n font-size: 13px;\n line-height: 1.42857143;\n color: #333;\n word-break: break-all;\n word-wrap: break-word;\n }\n\u003c/style\u003e\n\u003cscript\u003e\n window.katexOptions \u003d {\n delimiters: [\n {left: \u0027\\\\[\u0027, right: \u0027\\\\]\u0027, display: true}\n ]\n };\n\u003c/script\u003e\n","sections":[{"title":"","value":{"format":"HTML","content":"\n \u003cp\u003eGiven intervals \u003cspan class\u003d\"tex2jax_process\"\u003e$[a,\n b]$\u003c/span\u003e and \u003cspan class\u003d\"tex2jax_process\"\u003e$[c, d]$\u003c/span\u003e,\n count the number of ordered pairs of co-prime integers\n \u003cspan class\u003d\"tex2jax_process\"\u003e$(x, y)$\u003c/span\u003e such that\n \u003cspan class\u003d\"tex2jax_process\"\u003e$a \\le x \\le b$\u003c/span\u003e and\n \u003cspan class\u003d\"tex2jax_process\"\u003e$c \\le y \\le d$\u003c/span\u003e. Coprime\n integers have no common factor greater than \u003cspan class\u003d\"tex2jax_process\"\u003e$1$\u003c/span\u003e.\u003c/p\u003e\n \u003ch2\u003eInput\u003c/h2\u003e\n \u003cp\u003eThe input consists of a single line of four space-separated\n integers \u003cspan class\u003d\"tex2jax_process\"\u003e$a$\u003c/span\u003e, \u003cspan class\u003d\"tex2jax_process\"\u003e$b$\u003c/span\u003e, \u003cspan class\u003d\"tex2jax_process\"\u003e$c$\u003c/span\u003e, and \u003cspan class\u003d\"tex2jax_process\"\u003e$d$\u003c/span\u003e. These integers satisfy the bounds\n (\u003cspan class\u003d\"tex2jax_process\"\u003e$1 \\le a \\le b \\le 10^7$\u003c/span\u003e,\n \u003cspan class\u003d\"tex2jax_process\"\u003e$1 \\le c \\le d \\le\n 10^7$\u003c/span\u003e).\u003c/p\u003e\n \u003ch2\u003eOutput\u003c/h2\u003e\n \u003cp\u003ePrint a single integer: the number of coprime pairs\n \u003cspan class\u003d\"tex2jax_process\"\u003e$(x,y)$\u003c/span\u003e with \u003cspan class\u003d\"tex2jax_process\"\u003e$a \\le x \\le b, c\\le y \\le d$\u003c/span\u003e.\u003c/p\u003e\n \u003ch2\u003eSample 1\u003c/h2\u003e\u003cbody\u003e\u003ctable class\u003d\"vjudge_sample\"\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\u003e1 5 1 5\n\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003e19\n\u003c/pre\u003e\u003c/td\u003e\n \u003c/tr\u003e\n\u003c/tbody\u003e\n\u003c/table\u003e\n\u003c/body\u003e\n \u003ch2\u003eSample 2\u003c/h2\u003e\u003cbody\u003e\u003ctable class\u003d\"vjudge_sample\"\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\u003e12 12 1 12\n\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003e4\n\u003c/pre\u003e\u003c/td\u003e\n \u003c/tr\u003e\n\u003c/tbody\u003e\n\u003c/table\u003e\n\u003c/body\u003e\n \u003ch2\u003eSample 3\u003c/h2\u003e\u003cbody\u003e\u003ctable class\u003d\"vjudge_sample\"\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\u003e1 100 1 100\n\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003e6087\n\u003c/pre\u003e\u003c/td\u003e\n \u003c/tr\u003e\n\u003c/tbody\u003e\n\u003c/table\u003e\n\u003c/body\u003e\n "}}]}