{"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\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$$\u0027]]\n }\n });\n\u003c/script\u003e\n\u003cscript type\u003d\"text/javascript\" async src\u003d\"https://mathjax.codeforces.org/MathJax.js?config\u003dTeX-AMS_HTML-full\"\u003e\u003c/script\u003e","sections":[{"title":"","value":{"format":"HTML","content":"\u003cp\u003eYou are given $$$2n$$$ pairs $$$(a_i, b_i)$$$ of integers. Consider a complete graph on $$$2n$$$ vertices and define the weight of the edge $$$(ij)$$$ to be $$$w_{ij} \u003d max(|a_i-a_j|, |a_i-b_j|, |b_i-a_j|, |b_i-b_j|)$$$. \u003c/p\u003e\u003cp\u003eDetermine the maximum weight of the matching in this graph.\u003c/p\u003e\u003cp\u003eIn other words, consider all ways to select $$$n$$$ edges of this graph such that no two chosen edges have a common endpoint. What is the maximum possible total weight of these edges?\u003c/p\u003e"}},{"title":"Input","value":{"format":"HTML","content":"\u003cp\u003eThe first line of the input contains a single integer $$$n$$$ ($$$1 \\le n \\le 10^5$$$).\u003c/p\u003e\u003cp\u003eThe $$$i$$$-th of the next $$$2n$$$ lines contain two integers $$$a_i$$$ and $$$b_i$$$ ($$$0 \\le a_i, b_i \\le 10^9$$$).\u003c/p\u003e"}},{"title":"Output","value":{"format":"HTML","content":"\u003cp\u003ePrint a single integer\u0026nbsp;— the maximum weight of the matching in this graph.\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\u003e2\n0 10\n7 7\n9 4\n2 15\n\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003e18\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\u003eAdjacency matrix: \u003c/p\u003e\u003ctable class\u003d\"tex-tabular\"\u003e\u003ctbody\u003e\u003ctr\u003e\u003ctd class\u003d\"tex-tabular-text-align-left\"\u003e0\u003c/td\u003e\u003ctd class\u003d\"tex-tabular-text-align-left\"\u003e7\u003c/td\u003e\u003ctd class\u003d\"tex-tabular-text-align-left\"\u003e9\u003c/td\u003e\u003ctd class\u003d\"tex-tabular-text-align-left\"\u003e15\u003c/td\u003e\u003c/tr\u003e\u003ctr\u003e\u003ctd class\u003d\"tex-tabular-text-align-left\"\u003e7\u003c/td\u003e\u003ctd class\u003d\"tex-tabular-text-align-left\"\u003e0\u003c/td\u003e\u003ctd class\u003d\"tex-tabular-text-align-left\"\u003e3\u003c/td\u003e\u003ctd class\u003d\"tex-tabular-text-align-left\"\u003e8\u003c/td\u003e\u003c/tr\u003e\u003ctr\u003e\u003ctd class\u003d\"tex-tabular-text-align-left\"\u003e9\u003c/td\u003e\u003ctd class\u003d\"tex-tabular-text-align-left\"\u003e3\u003c/td\u003e\u003ctd class\u003d\"tex-tabular-text-align-left\"\u003e0\u003c/td\u003e\u003ctd class\u003d\"tex-tabular-text-align-left\"\u003e11\u003c/td\u003e\u003c/tr\u003e\u003ctr\u003e\u003ctd class\u003d\"tex-tabular-text-align-left\"\u003e15\u003c/td\u003e\u003ctd class\u003d\"tex-tabular-text-align-left\"\u003e8\u003c/td\u003e\u003ctd class\u003d\"tex-tabular-text-align-left\"\u003e11\u003c/td\u003e\u003ctd class\u003d\"tex-tabular-text-align-left\"\u003e0\u003c/td\u003e\u003c/tr\u003e\u003c/tbody\u003e\u003c/table\u003e\u003cp\u003e\u003c/p\u003e"}}]}