{"trustable":true,"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\n\u003cscript\u003e\n window.katexOptions \u003d {\n delimiters: [\n {left: \u0027$$$$$$\u0027, right: \u0027$$$$$$\u0027, display: true},\n {left: \u0027$$$\u0027, right: \u0027$$$\u0027, display: false},\n {left: \u0027$$\u0027, right: \u0027$$\u0027, display: true},\n {left: \u0027$\u0027, right: \u0027$\u0027, display: false}\n ]\n };\n\u003c/script\u003e\n","sections":[{"title":"","value":{"format":"HTML","content":"\u003cp\u003eYou have a team of \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003eN\u003c/i\u003e\u003c/span\u003e people. For a particular task, you can pick any non-empty subset of people. The cost of having \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003ex\u003c/i\u003e\u003c/span\u003e people for the task is \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003ex\u003c/i\u003e\u003csup class\u003d\"upper-index\"\u003e\u003ci\u003ek\u003c/i\u003e\u003c/sup\u003e\u003c/span\u003e. \u003c/p\u003e\u003cp\u003eOutput the sum of costs over all non-empty subsets of people.\u003c/p\u003e"}},{"title":"Input","value":{"format":"HTML","content":"\u003cp\u003eOnly line of input contains two integers \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003eN\u003c/i\u003e\u003c/span\u003e \u003cspan class\u003d\"tex-span\"\u003e(1 ≤ \u003ci\u003eN\u003c/i\u003e ≤ 10\u003csup class\u003d\"upper-index\"\u003e9\u003c/sup\u003e)\u003c/span\u003e representing total number of people and \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003ek\u003c/i\u003e\u003c/span\u003e \u003cspan class\u003d\"tex-span\"\u003e(1 ≤ \u003ci\u003ek\u003c/i\u003e ≤ 5000)\u003c/span\u003e.\u003c/p\u003e"}},{"title":"Output","value":{"format":"HTML","content":"\u003cp\u003eOutput the sum of costs for all non empty subsets modulo \u003cspan class\u003d\"tex-span\"\u003e10\u003csup class\u003d\"upper-index\"\u003e9\u003c/sup\u003e + 7\u003c/span\u003e.\u003c/p\u003e"}},{"title":"Examples","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\u003e1 1\n\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003e1\n\u003c/pre\u003e\u003c/td\u003e\n \u003c/tr\u003e\n\u003c/tbody\u003e\n\u003c/table\u003e\n"}},{"title":"","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 2\n\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003e24\n\u003c/pre\u003e\u003c/td\u003e\n \u003c/tr\u003e\n\u003c/tbody\u003e\n\u003c/table\u003e\n"}},{"title":"Note","value":{"format":"HTML","content":"\u003cp\u003eIn the first example, there is only one non-empty subset \u003cspan class\u003d\"tex-span\"\u003e{1}\u003c/span\u003e with cost \u003cspan class\u003d\"tex-span\"\u003e1\u003csup class\u003d\"upper-index\"\u003e1\u003c/sup\u003e \u003d 1\u003c/span\u003e.\u003c/p\u003e\u003cp\u003eIn the second example, there are seven non-empty subsets.\u003c/p\u003e\u003cp\u003e- \u003cspan class\u003d\"tex-span\"\u003e{1}\u003c/span\u003e with cost \u003cspan class\u003d\"tex-span\"\u003e1\u003csup class\u003d\"upper-index\"\u003e2\u003c/sup\u003e \u003d 1\u003c/span\u003e\u003c/p\u003e\u003cp\u003e- \u003cspan class\u003d\"tex-span\"\u003e{2}\u003c/span\u003e with cost \u003cspan class\u003d\"tex-span\"\u003e1\u003csup class\u003d\"upper-index\"\u003e2\u003c/sup\u003e \u003d 1\u003c/span\u003e\u003c/p\u003e\u003cp\u003e- \u003cspan class\u003d\"tex-span\"\u003e{1, 2}\u003c/span\u003e with cost \u003cspan class\u003d\"tex-span\"\u003e2\u003csup class\u003d\"upper-index\"\u003e2\u003c/sup\u003e \u003d 4\u003c/span\u003e\u003c/p\u003e\u003cp\u003e- \u003cspan class\u003d\"tex-span\"\u003e{3}\u003c/span\u003e with cost \u003cspan class\u003d\"tex-span\"\u003e1\u003csup class\u003d\"upper-index\"\u003e2\u003c/sup\u003e \u003d 1\u003c/span\u003e\u003c/p\u003e\u003cp\u003e- \u003cspan class\u003d\"tex-span\"\u003e{1, 3}\u003c/span\u003e with cost \u003cspan class\u003d\"tex-span\"\u003e2\u003csup class\u003d\"upper-index\"\u003e2\u003c/sup\u003e \u003d 4\u003c/span\u003e\u003c/p\u003e\u003cp\u003e- \u003cspan class\u003d\"tex-span\"\u003e{2, 3}\u003c/span\u003e with cost \u003cspan class\u003d\"tex-span\"\u003e2\u003csup class\u003d\"upper-index\"\u003e2\u003c/sup\u003e \u003d 4\u003c/span\u003e\u003c/p\u003e\u003cp\u003e- \u003cspan class\u003d\"tex-span\"\u003e{1, 2, 3}\u003c/span\u003e with cost \u003cspan class\u003d\"tex-span\"\u003e3\u003csup class\u003d\"upper-index\"\u003e2\u003c/sup\u003e \u003d 9\u003c/span\u003e\u003c/p\u003e\u003cp\u003eThe total cost is \u003cspan class\u003d\"tex-span\"\u003e1 + 1 + 4 + 1 + 4 + 4 + 9 \u003d 24\u003c/span\u003e.\u003c/p\u003e"}}]}