{"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\"\u003eNetwork flow is a well-known difficult problem for ACMers. Given a graph, your task is to find out the maximum flow for the weighted directed graph.\u003c/div\u003e"}},{"title":"Input","value":{"format":"HTML","content":"The first line of input contains an integer T, denoting the number of test cases.\u003cbr\u003eFor each test case, the first line contains two integers N and M, denoting the number of vertexes and edges in the graph. (2 \u0026lt;\u003d N \u0026lt;\u003d 15, 0 \u0026lt;\u003d M \u0026lt;\u003d 1000)\u003cbr\u003eNext M lines, each line contains three integers X, Y and C, there is an edge from X to Y and the capacity of it is C. (1 \u0026lt;\u003d X, Y \u0026lt;\u003d N, 1 \u0026lt;\u003d C \u0026lt;\u003d 1000)"}},{"title":"Output","value":{"format":"HTML","content":"For each test cases, you should output the maximum flow from source 1 to sink N."}},{"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\u003e2\r\n3 2\r\n1 2 1\r\n2 3 1\r\n3 3\r\n1 2 1\r\n2 3 1\r\n1 3 1\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003eCase 1: 1\r\nCase 2: 2\r\n\u003c/pre\u003e\u003c/td\u003e\n \u003c/tr\u003e\n\u003c/tbody\u003e\n\u003c/table\u003e\n"}}]}