{"trustable":true,"prependHtml":"\u003cstyle type\u003d\"text/css\"\u003e\n section pre {\n display: block;\n padding: 9.5px;\n margin: 0 0 10px;\n font-size: 13px;\n line-height: 1.42857143;\n word-break: break-all;\n word-wrap: break-word;\n color: #333;\n background: rgba(255, 255, 255, 0.5);\n border: 1px solid #ccc;\n border-radius: 6px;\n }\n\u003c/style\u003e\n\u003cscript\u003e\n window.katexOptions \u003d {\n delimiters: [\n {left: \u0027\\\\(\u0027, right: \u0027\\\\)\u0027, display: false},\n {left: \u0027\\\\[\u0027, right: \u0027\\\\]\u0027, display: true}\n ]\n };\n\u003c/script\u003e\n","sections":[{"title":"Problem Statement","value":{"format":"HTML","content":"\r\n\u003csection\u003e\r\n\u003cp\u003eAkari has \u003cvar\u003e\\(n\\)\u003c/var\u003e kinds of flowers, one of each kind.\u003c/p\u003e\r\n\u003cp\u003eShe is going to choose one or more of these flowers to make a bouquet.\u003c/p\u003e\r\n\u003cp\u003eHowever, she hates two numbers \u003cvar\u003e\\(a\\)\u003c/var\u003e and \u003cvar\u003e\\(b\\)\u003c/var\u003e, so the number of flowers in the bouquet cannot be \u003cvar\u003e\\(a\\)\u003c/var\u003e or \u003cvar\u003e\\(b\\)\u003c/var\u003e.\u003c/p\u003e\r\n\u003cp\u003eHow many different bouquets are there that Akari can make?\u003c/p\u003e\r\n\u003cp\u003eFind the count modulo \u003cvar\u003e\\((10^9 + 7)\\)\u003c/var\u003e.\u003c/p\u003e\r\n\u003cp\u003eHere, two bouquets are considered different when there is a flower that is used in one of the bouquets but not in the other bouquet.\u003c/p\u003e\r\n\u003c/section\u003e\r\n"}},{"title":"Constraints","value":{"format":"HTML","content":"\r\n\u003csection\u003e\r\n\u003cul\u003e\r\n\u003cli\u003eAll values in input are integers.\u003c/li\u003e\r\n\u003cli\u003e\u003cvar\u003e\\(2 \\leq n \\leq 10^9\\)\u003c/var\u003e\u003c/li\u003e\r\n\u003cli\u003e\u003cvar\u003e\\(1 \\leq a \u0026lt; b \\leq \\textrm{min}(n, 2 \\times 10^5)\\)\u003c/var\u003e\u003c/li\u003e\r\n\u003c/ul\u003e\r\n\u003c/section\u003e\r\n"}},{"title":"Input","value":{"format":"HTML","content":"\r\n\u003csection\u003e\r\n\u003cp\u003eInput is given from Standard Input in the following format:\u003c/p\u003e\r\n\u003cpre\u003e\u003cvar\u003e\\(n\\)\u003c/var\u003e \u003cvar\u003e\\(a\\)\u003c/var\u003e \u003cvar\u003e\\(b\\)\u003c/var\u003e\r\n\u003c/pre\u003e\r\n\r\n\u003c/section\u003e\r\n"}},{"title":"Output","value":{"format":"HTML","content":"\r\n\u003csection\u003e\r\n\u003cp\u003ePrint the number of bouquets that Akari can make, modulo \u003cvar\u003e\\((10^9 + 7)\\)\u003c/var\u003e. (If there are no such bouquets, print \u003ccode\u003e0\u003c/code\u003e.)\u003c/p\u003e\r\n\u003c/section\u003e\r\n"}},{"title":"Sample 1","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 1 3\r\n\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003e7\r\n\u003c/pre\u003e\u003c/td\u003e\n \u003c/tr\u003e\n\u003c/tbody\u003e\n\u003c/table\u003e\n\r\n\u003csection\u003e\r\n\r\n\r\n\u003c/section\u003e\r\n\r\n\u003csection\u003e\r\n\r\n\r\n\u003cp\u003eIn this case, Akari can choose \u003cvar\u003e\\(2\\)\u003c/var\u003e or \u003cvar\u003e\\(4\\)\u003c/var\u003e flowers to make the bouquet.\u003c/p\u003e\r\n\u003cp\u003eThere are \u003cvar\u003e\\(6\\)\u003c/var\u003e ways to choose \u003cvar\u003e\\(2\\)\u003c/var\u003e out of the \u003cvar\u003e\\(4\\)\u003c/var\u003e flowers, and \u003cvar\u003e\\(1\\)\u003c/var\u003e way to choose \u003cvar\u003e\\(4\\)\u003c/var\u003e, so there are a total of \u003cvar\u003e\\(7\\)\u003c/var\u003e different bouquets that Akari can make.\u003c/p\u003e\r\n\u003c/section\u003e\r\n"}},{"title":"Sample 2","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\u003e1000000000 141421 173205\r\n\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003e34076506\r\n\u003c/pre\u003e\u003c/td\u003e\n \u003c/tr\u003e\n\u003c/tbody\u003e\n\u003c/table\u003e\n\r\n\u003csection\u003e\r\n\r\n\r\n\u003c/section\u003e\r\n\r\n\u003csection\u003e\r\n\r\n\r\n\u003cp\u003ePrint the count modulo \u003cvar\u003e\\((10^9 + 7)\\)\u003c/var\u003e.\u003c/p\u003e\u003c/section\u003e\r\n"}}]}