{"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":"MD","content":"“牛奶还是武藏野的好,可是支部附近的超市太贵了……”,固法学姐叹了口气。\u003cbr\u003e\n\n武藏野牛奶在学园都市的每个学区(标号是[1,n])都有卖的,但是价格不同。学园都市有m条巴士线路(从i学区到j学区,双向),每一条巴士线路的票价是wi。\n\n固法学姐想知道,从任何一个学区[1,n]出发,买到牛奶,然后返回出发点的最小花费。"}},{"title":"Input","value":{"format":"MD","content":"第一行是两个整数n,m,代表n个学区和m条巴士线路(2 ≤ n ≤ 2e5, 1 ≤ m ≤ 2e5).\u003cbr\u003e\n接下来m行,每行有三个整数ui,vi,wi(1≤vi,ui≤n ,1≤wi≤1e12)代表学区vi和学区ui中间的巴士票价是wi,无重边\n接下来的一行是n个整数ai(1\u003c\u003dai\u003c\u003d1e12) 代表每个学区武藏野牛奶的价格\n"}},{"title":"Output","value":{"format":"MD","content":"输出n个整数,用空格分隔开,第i个代表从i学区出发买到牛奶,然后返回的最小花费。"}},{"title":"Sample1","value":{"format":"MD","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\u003cdiv class\u003d\"sample-tests\"\u003e\n \u003cdiv class\u003d\"section-title\"/div\u003e\n \u003cdiv class\u003d\"sample-test\"\u003e\n \n \u003cdiv class\u003d\"input\"\u003e\n \u003cdiv class\u003d\"title\"\u003e\n Input\n \u003c/div\u003e\n \u003cpre\u003e3 3\u003cbr\u003e1 2 1\u003cbr\u003e2 3 1\u003cbr\u003e1 3 1\u003cbr\u003e30 10 20\u003cbr\u003e\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\u003e12 10 12 \u003cbr\u003e\u003c/pre\u003e\n \u003c/div\u003e\n \u003c/div\u003e\n\u003c/div\u003e"}},{"title":"Sample2","value":{"format":"MD","content":"\u003cdiv class\u003d\"input\"\u003e\n \u003cdiv class\u003d\"title\"\u003e\n Input\n \u003c/div\u003e\n \u003cpre\u003e4 2\u003cbr\u003e1 2 4\u003cbr\u003e2 3 7\u003cbr\u003e6 20 1 25\u003cbr\u003e\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\u003e6 14 1 25 \u003cbr\u003e\u003c/pre\u003e\n \u003c/div\u003e"}}]}