{"id":90386,"date":"2026-08-05T08:32:37","date_gmt":"2026-08-05T00:32:37","guid":{"rendered":"https:\/\/www.wsisp.com\/helps\/90386.html"},"modified":"2026-08-05T08:32:37","modified_gmt":"2026-08-05T00:32:37","slug":"uva-12647-balloon","status":"publish","type":"post","link":"https:\/\/www.wsisp.com\/helps\/90386.html","title":{"rendered":"UVa 12647 Balloon"},"content":{"rendered":"<h3>\u9898\u76ee\u63cf\u8ff0<\/h3>\n<p>\u7ed9\u5b9a\u4e00\u4e2a\u7531\u82e5\u5e72\u7ebf\u6bb5\u7ec4\u6210\u7684\u5929\u82b1\u677f&#xff0c;\u7ebf\u6bb5\u4e4b\u95f4\u6ca1\u6709\u516c\u5171\u70b9\u3002\u6c14\u7403\u4ece\u5730\u9762\u70b9 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">(x,0)(x, 0)<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">0<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span> \u5782\u76f4\u5411\u4e0a\u91ca\u653e\u3002\u5f53\u6c14\u7403\u78b0\u5230\u6c34\u5e73\u7ebf\u6bb5\u65f6&#xff0c;\u5b83\u4f1a\u5361\u5728\u8be5\u4f4d\u7f6e&#xff1b;\u5f53\u78b0\u5230\u503e\u659c\u7ebf\u6bb5\u65f6&#xff0c;\u5b83\u4f1a\u6cbf\u7740\u7ebf\u6bb5\u6ed1\u5230\u8be5\u7ebf\u6bb5\u7684\u6700\u9ad8\u70b9&#xff0c;\u7136\u540e\u4ece\u8be5\u70b9\u7ee7\u7eed\u5782\u76f4\u5411\u4e0a\u8fd0\u52a8\u3002\u8fd9\u4e2a\u8fc7\u7a0b\u53ef\u80fd\u91cd\u590d\u591a\u6b21&#xff0c;\u6700\u7ec8\u6c14\u7403\u8981\u4e48\u5361\u5728\u67d0\u6761\u6c34\u5e73\u7ebf\u6bb5\u4e0a&#xff0c;\u8981\u4e48\u4ece\u5927\u5385\u9003\u51fa\u3002<\/p>\n<p>\u9700\u8981\u56de\u7b54\u591a\u4e2a\u67e5\u8be2&#xff0c;\u6bcf\u4e2a\u67e5\u8be2\u7ed9\u5b9a\u4e00\u4e2a\u91ca\u653e\u70b9\u7684\u6a2a\u5750\u6807 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">xx<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\">x<\/span><\/span><\/span><\/span><\/span>&#xff0c;\u8f93\u51fa\u6c14\u7403\u7684\u6700\u7ec8\u4f4d\u7f6e&#xff1a;\u82e5\u9003\u51fa\u5219\u8f93\u51fa\u9003\u51fa\u65f6\u7684\u6a2a\u5750\u6807&#xff0c;\u5426\u5219\u8f93\u51fa\u5361\u4f4f\u4f4d\u7f6e\u7684\u5750\u6807 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">(x,y)(x, y)<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">y<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span>\u3002<\/p>\n<h3>\u8f93\u5165\u683c\u5f0f<\/h3>\n<p>\u6bcf\u4e2a\u6d4b\u8bd5\u7528\u4f8b\u7b2c\u4e00\u884c\u5305\u542b\u4e24\u4e2a\u6574\u6570 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">NN<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">N<\/span><\/span><\/span><\/span><\/span> \u548c <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">CC<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0715em\">C<\/span><\/span><\/span><\/span><\/span>&#xff0c;\u5206\u522b\u8868\u793a\u7ebf\u6bb5\u6570\u91cf\u548c\u67e5\u8be2\u6570\u91cf\u3002<\/p>\n<p>\u63a5\u4e0b\u6765 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">NN<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">N<\/span><\/span><\/span><\/span><\/span> \u884c&#xff0c;\u6bcf\u884c\u56db\u4e2a\u6574\u6570 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">X1,Y1,X2,Y2X_1, Y_1, X_2, Y_2<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8778em;vertical-align: -0.1944em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0785em\">X<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0785em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.2222em\">Y<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.2222em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0785em\">X<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0785em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.2222em\">Y<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.2222em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>&#xff0c;\u63cf\u8ff0\u4e00\u6761\u7ebf\u6bb5\u7684\u4e24\u4e2a\u7aef\u70b9\u3002<\/p>\n<p>\u63a5\u4e0b\u6765 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">CC<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0715em\">C<\/span><\/span><\/span><\/span><\/span> \u884c&#xff0c;\u6bcf\u884c\u4e00\u4e2a\u6574\u6570 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">XX<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0785em\">X<\/span><\/span><\/span><\/span><\/span>&#xff0c;\u8868\u793a\u67e5\u8be2\u7684\u91ca\u653e\u70b9\u6a2a\u5750\u6807\u3002<\/p>\n<p>\u8f93\u5165\u5305\u542b\u591a\u4e2a\u6d4b\u8bd5\u7528\u4f8b&#xff0c;\u76f4\u5230\u6587\u4ef6\u7ed3\u675f\u3002<\/p>\n<h3>\u8f93\u51fa\u683c\u5f0f<\/h3>\n<p>\u5bf9\u4e8e\u6bcf\u4e2a\u67e5\u8be2&#xff0c;\u8f93\u51fa\u4e00\u884c&#xff1a;<\/p>\n<ul>\n<li>\u82e5\u6c14\u7403\u9003\u51fa&#xff0c;\u8f93\u51fa\u4e00\u4e2a\u6574\u6570 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">XX<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0785em\">X<\/span><\/span><\/span><\/span><\/span>&#xff0c;\u8868\u793a\u9003\u51fa\u65f6\u7684\u6a2a\u5750\u6807\u3002<\/li>\n<li>\u5426\u5219\u8f93\u51fa\u4e24\u4e2a\u6574\u6570 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">XX<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0785em\">X<\/span><\/span><\/span><\/span><\/span> \u548c <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">YY<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.2222em\">Y<\/span><\/span><\/span><\/span><\/span>&#xff0c;\u8868\u793a\u5361\u4f4f\u7684\u4f4d\u7f6e\u3002<\/li>\n<\/ul>\n<h3>\u6837\u4f8b<\/h3>\n<p>\u8f93\u5165<\/p>\n<p>4 4<br \/>\n0 1 3 3<br \/>\n1 5 6 5<br \/>\n5 3 2 4<br \/>\n7 4 10 2<br \/>\n2<br \/>\n5<br \/>\n8<br \/>\n6<br \/>\n4 3<br \/>\n1 3 4 2<br \/>\n10 3 7 4<br \/>\n2 3 8 3<br \/>\n3 5 5 4<br \/>\n4<br \/>\n9<br \/>\n8<\/p>\n<p>\u8f93\u51fa<\/p>\n<p>2 5<br \/>\n2 5<br \/>\n7<br \/>\n6 5<br \/>\n1<br \/>\n7<br \/>\n8 3<\/p>\n<h3>\u9898\u76ee\u5206\u6790<\/h3>\n<p>\u672c\u9898\u7684\u6838\u5fc3\u662f\u6a21\u62df\u6c14\u7403\u5728\u5929\u82b1\u677f\u4e0b\u7684\u8fd0\u52a8\u8f68\u8ff9\u3002\u5929\u82b1\u677f\u7531\u82e5\u5e72\u7ebf\u6bb5\u7ec4\u6210&#xff0c;\u7ebf\u6bb5\u4e4b\u95f4\u6ca1\u6709\u516c\u5171\u70b9&#xff0c;\u4e14\u6240\u6709\u7aef\u70b9\u7684\u6a2a\u5750\u6807\u4e92\u4e0d\u76f8\u540c\u3002<\/p>\n<p>\u76f4\u63a5\u6a21\u62df\u7684\u65b9\u6cd5\u662f\u4ece\u91ca\u653e\u70b9\u5f00\u59cb&#xff0c;\u6bcf\u6b21\u627e\u5230\u5f53\u524d\u6b63\u4e0a\u65b9\u6700\u8fd1\u7684\u7ebf\u6bb5\u3002\u5982\u679c\u662f\u6c34\u5e73\u7ebf\u6bb5&#xff0c;\u6c14\u7403\u5361\u4f4f&#xff1b;\u5982\u679c\u662f\u503e\u659c\u7ebf\u6bb5&#xff0c;\u6c14\u7403\u6ed1\u5230\u6700\u9ad8\u70b9\u540e\u7ee7\u7eed\u5411\u4e0a\u3002\u8fd9\u4e2a\u8fc7\u7a0b\u53ef\u80fd\u91cd\u590d\u591a\u6b21\u3002<\/p>\n<p>\u7136\u800c&#xff0c;\u76f4\u63a5\u6a21\u62df\u5b58\u5728\u4e24\u4e2a\u95ee\u9898&#xff1a;<\/p>\n<ul>\n<li>\u6bcf\u6b21\u67e5\u627e\u4e0a\u65b9\u6700\u8fd1\u7ebf\u6bb5\u9700\u8981\u904d\u5386\u6240\u6709\u7ebf\u6bb5&#xff0c;\u590d\u6742\u5ea6 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">O(N)O(N)<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0278em\">O<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">N<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span>\u3002<\/li>\n<li>\u6bcf\u4e2a\u67e5\u8be2\u53ef\u80fd\u7ecf\u5386\u591a\u6b21\u6ed1\u52a8&#xff0c;\u6700\u574f\u60c5\u51b5\u4e0b\u6bcf\u4e2a\u67e5\u8be2\u9700\u8981 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">O(N)O(N)<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0278em\">O<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">N<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span> \u6b21\u67e5\u627e\u3002<\/li>\n<\/ul>\n<p>\u603b\u7684\u590d\u6742\u5ea6\u4e3a <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">O(C\u22c5N2)O(C \\\\cdot N^2)<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0278em\">O<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0715em\">C<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u22c5<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.0641em;vertical-align: -0.25em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">N<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8141em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span>&#xff0c;\u5728 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">N,C\u2264105N, C \\\\le 10^5<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8778em;vertical-align: -0.1944em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">N<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0715em\">C<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u2264<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.8141em\"><\/span><span class=\"mord\">1<\/span><span class=\"mord\"><span class=\"mord\">0<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8141em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">5<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u65f6\u4e0d\u53ef\u63a5\u53d7\u3002<\/p>\n<h3>\u89e3\u9898\u601d\u8def<\/h3>\n<h4>\u6838\u5fc3\u6d1e\u5bdf<\/h4>\n<p>\u4ece\u9ad8\u5230\u4f4e\u5904\u7406\u7ebf\u6bb5 \u662f\u672c\u9898\u7684\u5173\u952e\u3002<\/p>\n<p>\u5047\u8bbe\u6211\u4eec\u6309\u7167\u7ebf\u6bb5\u7684\u9ad8\u5ea6\u4ece\u9ad8\u5230\u4f4e\u5904\u7406\u3002\u5f53\u5904\u7406\u5230\u4e00\u6761\u503e\u659c\u7ebf\u6bb5\u65f6&#xff0c;\u5b83\u6700\u9ad8\u70b9\u6b63\u4e0a\u65b9\u7684\u7ebf\u6bb5\u4e00\u5b9a\u5df2\u7ecf\u88ab\u5904\u7406\u8fc7\u4e86&#xff08;\u56e0\u4e3a\u66f4\u9ad8&#xff09;\u3002\u56e0\u6b64&#xff0c;\u8fd9\u6761\u503e\u659c\u7ebf\u6bb5\u53ef\u4ee5\u76f4\u63a5\u201c\u7ee7\u627f\u201d\u5176\u6700\u9ad8\u70b9\u6b63\u4e0a\u65b9\u7ebf\u6bb5\u7684\u7ed3\u679c&#xff0c;\u800c\u4e0d\u9700\u8981\u6a21\u62df\u6c14\u7403\u5728\u5b83\u4e0a\u65b9\u7684\u591a\u6b21\u6ed1\u52a8\u3002<\/p>\n<p>\u8fd9\u4e2a\u601d\u8def\u5c06\u95ee\u9898\u8f6c\u5316\u4e3a&#xff1a;\u7528\u7ebf\u6bb5\u6811\u7ef4\u62a4\u6bcf\u4e2a\u6a2a\u5750\u6807\u5f53\u524d\u88ab\u54ea\u6761\u7ebf\u6bb5\u8986\u76d6&#xff0c;\u4ece\u9ad8\u5230\u4f4e\u5904\u7406\u6bcf\u6761\u7ebf\u6bb5&#xff0c;\u5e76\u8bb0\u5f55\u6bcf\u6761\u7ebf\u6bb5\u6700\u7ec8\u4f1a\u5361\u5728\u54ea\u6761\u6c34\u5e73\u7ebf\u6bb5\u4e0a\u3002<\/p>\n<h4>\u9884\u5904\u7406<\/h4>\n<p>\u9996\u5148&#xff0c;\u5bf9\u6bcf\u6761\u7ebf\u6bb5\u8fdb\u884c\u5904\u7406&#xff0c;\u4fdd\u8bc1\u5176\u5de6\u7aef\u70b9\u7684\u7eb5\u5750\u6807\u4e0d\u5c0f\u4e8e\u53f3\u7aef\u70b9\u7684\u7eb5\u5750\u6807&#xff1a;<\/p>\n<p><span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>seg<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">.<\/span>y1 <span class=\"token operator\">&lt;<\/span> seg<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">.<\/span>y2<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n    <span class=\"token function\">swap<\/span><span class=\"token punctuation\">(<\/span>seg<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">.<\/span>x1<span class=\"token punctuation\">,<\/span> seg<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">.<\/span>x2<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token function\">swap<\/span><span class=\"token punctuation\">(<\/span>seg<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">.<\/span>y1<span class=\"token punctuation\">,<\/span> seg<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">.<\/span>y2<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<p>\u8fd9\u6837\u5904\u7406\u540e&#xff1a;<\/p>\n<ul>\n<li>\u6c34\u5e73\u7ebf\u6bb5&#xff1a;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">y1&#061;y2y_1 &#061; y_2<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.625em;vertical-align: -0.1944em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">y<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0359em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.625em;vertical-align: -0.1944em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">y<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0359em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/li>\n<li>\u503e\u659c\u7ebf\u6bb5&#xff1a;\u6700\u9ad8\u70b9\u4e00\u5b9a\u5728 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">(x1,y1)(x_1, y_1)<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathnormal\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">y<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0359em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span><\/li>\n<\/ul>\n<p>\u540c\u65f6&#xff0c;\u6dfb\u52a0\u4e00\u6761\u65e0\u9650\u9ad8\u7684\u6c34\u5e73\u7ebf\u6bb5\u4f5c\u4e3a\u201c\u5929\u82b1\u677f\u201d&#xff0c;\u5176\u9ad8\u5ea6\u4e3a <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">MAXC&#043;1MAXC &#043; 1<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.7667em;vertical-align: -0.0833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">M<\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0785em\">X<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0715em\">C<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">&#043;<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">1<\/span><\/span><\/span><\/span><\/span>&#xff0c;\u5176\u4e2d <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">MAXC&#061;1000010MAXC &#061; 1000010<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">M<\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0785em\">X<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0715em\">C<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">1000010<\/span><\/span><\/span><\/span><\/span> \u662f\u6a2a\u5750\u6807\u7684\u6700\u5927\u8303\u56f4\u3002\u8fd9\u6837&#xff0c;\u6240\u6709\u67e5\u8be2\u7684\u6700\u7ec8\u5f52\u5bbf\u8981\u4e48\u662f\u67d0\u6761\u771f\u5b9e\u7684\u6c34\u5e73\u7ebf\u6bb5&#xff0c;\u8981\u4e48\u662f\u8fd9\u6761\u5929\u82b1\u677f&#xff08;\u8868\u793a\u9003\u51fa&#xff09;\u3002<\/p>\n<h4>\u6570\u636e\u7ed3\u6784<\/h4>\n<p>\u4f7f\u7528\u7ebf\u6bb5\u6811\u7ef4\u62a4\u533a\u95f4\u8986\u76d6&#xff1a;<\/p>\n<ul>\n<li>cover[rt] \u8868\u793a\u5f53\u524d\u8282\u70b9\u5bf9\u5e94\u7684\u533a\u95f4\u88ab\u54ea\u6761\u7ebf\u6bb5\u8986\u76d6&#xff0c;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u22121-1<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.7278em;vertical-align: -0.0833em\"><\/span><span class=\"mord\">\u2212<\/span><span class=\"mord\">1<\/span><\/span><\/span><\/span><\/span> \u8868\u793a\u672a\u88ab\u8986\u76d6\u3002<\/li>\n<li>\u652f\u6301\u533a\u95f4\u8d4b\u503c\u64cd\u4f5c&#xff08;update&#xff09;\u548c\u5355\u70b9\u67e5\u8be2\u64cd\u4f5c&#xff08;query&#xff09;\u3002<\/li>\n<\/ul>\n<h4>\u7b97\u6cd5\u6d41\u7a0b<\/h4>\n<li>\n<p>\u5c06\u6240\u6709\u7ebf\u6bb5&#xff08;\u5305\u62ec\u5929\u82b1\u677f&#xff09;\u6309\u7eb5\u5750\u6807\u5347\u5e8f\u6392\u5e8f\u3002<\/p>\n<ul>\n<li>\u6392\u5e8f\u540e&#xff0c;seg[0] \u662f\u6700\u4f4e\u7684\u7ebf\u6bb5&#xff0c;seg[n] \u662f\u6700\u9ad8\u7684\u5929\u82b1\u677f\u3002<\/li>\n<li>\u4f46\u5904\u7406\u65f6\u4ece\u9ad8\u5230\u4f4e&#xff0c;\u5373\u5faa\u73af for (int i &#061; n; i &gt;&#061; 0; &#8211;i)\u3002<\/li>\n<\/ul>\n<\/li>\n<li>\n<p>\u4ece\u9ad8\u5230\u4f4e\u5904\u7406\u6bcf\u6761\u7ebf\u6bb5&#xff1a;<\/p>\n<ul>\n<li>\u5982\u679c\u662f\u6c34\u5e73\u7ebf\u6bb5&#xff1a;\u8bb0\u5f55 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">f[i]&#061;if[i] &#061; i<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.1076em\">f<\/span><span class=\"mopen\">[<\/span><span class=\"mord mathnormal\">i<\/span><span class=\"mclose\">]<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6595em\"><\/span><span class=\"mord mathnormal\">i<\/span><\/span><\/span><\/span><\/span>&#xff0c;\u8868\u793a\u5b83\u6700\u7ec8\u5361\u5728\u81ea\u5df1\u8fd9\u91cc\u3002<\/li>\n<li>\u5982\u679c\u662f\u503e\u659c\u7ebf\u6bb5&#xff1a;\n<ul>\n<li>\u67e5\u8be2\u5176\u9ad8\u70b9 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">(x1,y1)(x_1, y_1)<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathnormal\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">y<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0359em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span> \u88ab\u54ea\u6761\u7ebf\u6bb5\u8986\u76d6&#xff0c;\u5f97\u5230 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">k&#061;query(x1)k &#061; \\\\text{query}(x_1)<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6944em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0315em\">k<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord text\"><span class=\"mord\">query<\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathnormal\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span>\u3002<\/li>\n<li>\u7ee7\u627f\u8be5\u7ebf\u6bb5\u7684\u7ed3\u679c&#xff1a;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">f[i]&#061;f[k]f[i] &#061; f[k]<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.1076em\">f<\/span><span class=\"mopen\">[<\/span><span class=\"mord mathnormal\">i<\/span><span class=\"mclose\">]<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.1076em\">f<\/span><span class=\"mopen\">[<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0315em\">k<\/span><span class=\"mclose\">]<\/span><\/span><\/span><\/span><\/span>\u3002<\/li>\n<li>\u5982\u679c <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">kk<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6944em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0315em\">k<\/span><\/span><\/span><\/span><\/span> \u662f\u6c34\u5e73\u7ebf\u6bb5&#xff0c;\u5219 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">ansX[i]&#061;x1ansX[i] &#061; x_1<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord mathnormal\">an<\/span><span class=\"mord mathnormal\">s<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0785em\">X<\/span><span class=\"mopen\">[<\/span><span class=\"mord mathnormal\">i<\/span><span class=\"mclose\">]<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.5806em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>&#xff08;\u5361\u4f4f\u65f6\u7684\u6a2a\u5750\u6807\u5c31\u662f\u5f53\u524d\u9ad8\u70b9\u7684\u6a2a\u5750\u6807&#xff09;&#xff1b;\u5426\u5219\u7ee7\u627f <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">ansX[i]&#061;ansX[k]ansX[i] &#061; ansX[k]<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord mathnormal\">an<\/span><span class=\"mord mathnormal\">s<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0785em\">X<\/span><span class=\"mopen\">[<\/span><span class=\"mord mathnormal\">i<\/span><span class=\"mclose\">]<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord mathnormal\">an<\/span><span class=\"mord mathnormal\">s<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0785em\">X<\/span><span class=\"mopen\">[<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0315em\">k<\/span><span class=\"mclose\">]<\/span><\/span><\/span><\/span><\/span>\u3002<\/li>\n<\/ul>\n<\/li>\n<li>\u5c06\u5f53\u524d\u7ebf\u6bb5\u8986\u76d6\u7684\u6a2a\u5750\u6807\u533a\u95f4 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">[L,R][L, R]<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">[<\/span><span class=\"mord mathnormal\">L<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0077em\">R<\/span><span class=\"mclose\">]<\/span><\/span><\/span><\/span><\/span> \u8d4b\u503c\u4e3a <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">ii<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6595em\"><\/span><span class=\"mord mathnormal\">i<\/span><\/span><\/span><\/span><\/span>&#xff08;\u5176\u4e2d <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">L&#061;min\u2061(x1,x2)L &#061; \\\\min(x_1, x_2)<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\">L<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mop\">min<\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathnormal\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span>&#xff0c;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">R&#061;max\u2061(x1,x2)R &#061; \\\\max(x_1, x_2)<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0077em\">R<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mop\">max<\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathnormal\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span>&#xff09;\u3002<\/li>\n<\/ul>\n<\/li>\n<li>\n<p>\u5904\u7406\u67e5\u8be2&#xff1a;<\/p>\n<ul>\n<li>\u67e5\u8be2\u91ca\u653e\u70b9 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">xx<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\">x<\/span><\/span><\/span><\/span><\/span> \u88ab\u54ea\u6761\u7ebf\u6bb5\u8986\u76d6&#xff0c;\u5f97\u5230 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">kk<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6944em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0315em\">k<\/span><\/span><\/span><\/span><\/span>\u3002<\/li>\n<li>\u5982\u679c <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">kk<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6944em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0315em\">k<\/span><\/span><\/span><\/span><\/span> \u662f\u503e\u659c\u7ebf\u6bb5&#xff0c;\u5c06 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">xx<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\">x<\/span><\/span><\/span><\/span><\/span> \u4fee\u6b63\u4e3a <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">ansX[k]ansX[k]<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord mathnormal\">an<\/span><span class=\"mord mathnormal\">s<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0785em\">X<\/span><span class=\"mopen\">[<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0315em\">k<\/span><span class=\"mclose\">]<\/span><\/span><\/span><\/span><\/span>\u3002<\/li>\n<li>\u5982\u679c <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">f[k]&#061;nf[k] &#061; n<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.1076em\">f<\/span><span class=\"mopen\">[<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0315em\">k<\/span><span class=\"mclose\">]<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\">n<\/span><\/span><\/span><\/span><\/span>&#xff08;\u5373\u6700\u7ec8\u5f52\u5bbf\u662f\u5929\u82b1\u677f&#xff09;&#xff0c;\u8f93\u51fa <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">xx<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\">x<\/span><\/span><\/span><\/span><\/span>&#xff08;\u9003\u51fa&#xff09;&#xff1b;\u5426\u5219\u8f93\u51fa <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">xx<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\">x<\/span><\/span><\/span><\/span><\/span> \u548c <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">seg[f[k]].y1seg[f[k]].y1<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord mathnormal\">se<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">g<\/span><span class=\"mopen\">[<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.1076em\">f<\/span><span class=\"mopen\">[<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0315em\">k<\/span><span class=\"mclose\">]]<\/span><span class=\"mord\">.<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">y<\/span><span class=\"mord\">1<\/span><\/span><\/span><\/span><\/span>&#xff08;\u5361\u5728\u6c34\u5e73\u7ebf\u6bb5\u4e0a&#xff09;\u3002<\/li>\n<\/ul>\n<\/li>\n<h4>\u6b63\u786e\u6027\u8bf4\u660e<\/h4>\n<p>\u7531\u4e8e\u6211\u4eec\u6309\u7167\u9ad8\u5ea6\u4ece\u9ad8\u5230\u4f4e\u5904\u7406&#xff0c;\u5f53\u5904\u7406\u5230\u4e00\u6761\u503e\u659c\u7ebf\u6bb5\u65f6&#xff0c;\u5b83\u6700\u9ad8\u70b9\u4e0a\u65b9\u7684\u7ebf\u6bb5\u5df2\u7ecf\u5904\u7406\u5b8c\u6bd5&#xff0c;\u56e0\u6b64\u5176\u6700\u7ec8\u5f52\u5bbf\u53ef\u4ee5\u76f4\u63a5\u7ee7\u627f\u3002\u8fd9\u4e0e\u6c14\u7403\u5b9e\u9645\u8fd0\u52a8\u7684\u903b\u8f91\u4e00\u81f4&#xff1a;\u6c14\u7403\u4ece\u4f4e\u5904\u5411\u4e0a\u8fd0\u52a8&#xff0c;\u6700\u7ec8\u5361\u4f4f\u7684\u6c34\u5e73\u7ebf\u6bb5\u7531\u6700\u4e0a\u65b9\u7684\u90a3\u6761\u51b3\u5b9a\u3002<\/p>\n<p>\u7ebf\u6bb5\u6811\u7ef4\u62a4\u4e86\u6bcf\u4e2a\u6a2a\u5750\u6807\u5f53\u524d\u88ab\u54ea\u6761\u7ebf\u6bb5\u8986\u76d6&#xff0c;\u4fdd\u8bc1\u4e86\u67e5\u8be2\u548c\u7ee7\u627f\u64cd\u4f5c\u7684\u6b63\u786e\u6027\u3002<\/p>\n<h4>\u590d\u6742\u5ea6\u5206\u6790<\/h4>\n<ul>\n<li>\u6392\u5e8f&#xff1a;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">O(Nlog\u2061N)O(N \\\\log N)<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0278em\">O<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">N<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mop\">lo<span style=\"margin-right: 0.0139em\">g<\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">N<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span><\/li>\n<li>\u7ebf\u6bb5\u6811\u64cd\u4f5c&#xff1a;\u6bcf\u6b21\u66f4\u65b0\u548c\u67e5\u8be2\u5747\u4e3a <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">O(log\u2061MAXC)O(\\\\log MAXC)<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0278em\">O<\/span><span class=\"mopen\">(<\/span><span class=\"mop\">lo<span style=\"margin-right: 0.0139em\">g<\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">M<\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0785em\">X<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0715em\">C<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span>&#xff0c;\u5171 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">O(N&#043;C)O(N &#043; C)<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0278em\">O<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">N<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">&#043;<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0715em\">C<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span> \u6b21\u64cd\u4f5c<\/li>\n<li>\u603b\u65f6\u95f4\u590d\u6742\u5ea6&#xff1a;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">O((N&#043;C)log\u2061MAXC)O((N &#043; C) \\\\log MAXC)<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0278em\">O<\/span><span class=\"mopen\">((<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">N<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">&#043;<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0715em\">C<\/span><span class=\"mclose\">)<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mop\">lo<span style=\"margin-right: 0.0139em\">g<\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">M<\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0785em\">X<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0715em\">C<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span>&#xff0c;\u5176\u4e2d <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">MAXC&#061;1000010MAXC &#061; 1000010<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">M<\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0785em\">X<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0715em\">C<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">1000010<\/span><\/span><\/span><\/span><\/span> \u4e3a\u5e38\u6570<\/li>\n<li>\u7a7a\u95f4\u590d\u6742\u5ea6&#xff1a;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">O(MAXC)O(MAXC)<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0278em\">O<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">M<\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0785em\">X<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0715em\">C<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span><\/li>\n<\/ul>\n<h3>\u4ee3\u7801\u5b9e\u73b0<\/h3>\n<p><span class=\"token comment\">\/\/ Balloon<\/span><br \/>\n<span class=\"token comment\">\/\/ UVa ID: 12647<\/span><br \/>\n<span class=\"token comment\">\/\/ Verdict: Accepted<\/span><br \/>\n<span class=\"token comment\">\/\/ Submission Date: 2026-06-12<\/span><br \/>\n<span class=\"token comment\">\/\/ UVa Run Time: 0.120s<\/span><br \/>\n<span class=\"token comment\">\/\/<\/span><br \/>\n<span class=\"token comment\">\/\/ \u7248\u6743\u6240\u6709&#xff08;C&#xff09;2026&#xff0c;\u90b1\u79cb\u3002metaphysis # yeah dot net<\/span><\/p>\n<p><span class=\"token macro property\"><span class=\"token directive-hash\">#<\/span><span class=\"token directive keyword\">include<\/span> <span class=\"token string\">&lt;bits\/stdc&#043;&#043;.h&gt;<\/span><\/span><br \/>\n<span class=\"token keyword\">using<\/span> <span class=\"token keyword\">namespace<\/span> std<span class=\"token punctuation\">;<\/span><\/p>\n<p><span class=\"token keyword\">const<\/span> <span class=\"token keyword\">int<\/span> MAXC <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">1000010<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">const<\/span> <span class=\"token keyword\">int<\/span> MAXN <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">100010<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p><span class=\"token keyword\">int<\/span> cover<span class=\"token punctuation\">[<\/span>MAXC <span class=\"token operator\">&lt;&lt;<\/span> <span class=\"token number\">2<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">int<\/span> f<span class=\"token punctuation\">[<\/span>MAXN<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">int<\/span> ansX<span class=\"token punctuation\">[<\/span>MAXN<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">int<\/span> n<span class=\"token punctuation\">,<\/span> m<span class=\"token punctuation\">;<\/span><\/p>\n<p><span class=\"token keyword\">struct<\/span> <span class=\"token class-name\">Segment<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n    <span class=\"token keyword\">int<\/span> x1<span class=\"token punctuation\">,<\/span> y1<span class=\"token punctuation\">,<\/span> x2<span class=\"token punctuation\">,<\/span> y2<span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token keyword\">bool<\/span> <span class=\"token keyword\">operator<\/span><span class=\"token operator\">&lt;<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">const<\/span> Segment <span class=\"token operator\">&amp;<\/span>b<span class=\"token punctuation\">)<\/span> <span class=\"token keyword\">const<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n        <span class=\"token keyword\">return<\/span> y1 <span class=\"token operator\">&lt;<\/span> b<span class=\"token punctuation\">.<\/span>y1<span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token punctuation\">}<\/span> seg<span class=\"token punctuation\">[<\/span>MAXN<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p><span class=\"token keyword\">void<\/span> <span class=\"token function\">pushDown<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> rt<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n    <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>cover<span class=\"token punctuation\">[<\/span>rt<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">!&#061;<\/span> <span class=\"token operator\">&#8211;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n        cover<span class=\"token punctuation\">[<\/span>rt <span class=\"token operator\">&lt;&lt;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> cover<span class=\"token punctuation\">[<\/span>rt <span class=\"token operator\">&lt;&lt;<\/span> <span class=\"token number\">1<\/span> <span class=\"token operator\">|<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> cover<span class=\"token punctuation\">[<\/span>rt<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        cover<span class=\"token punctuation\">[<\/span>rt<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> <span class=\"token operator\">&#8211;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<p><span class=\"token keyword\">void<\/span> <span class=\"token function\">update<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> L<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> R<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> idx<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> l<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> r<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> rt<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n    <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>L <span class=\"token operator\">&lt;&#061;<\/span> l <span class=\"token operator\">&amp;&amp;<\/span> r <span class=\"token operator\">&lt;&#061;<\/span> R<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n        cover<span class=\"token punctuation\">[<\/span>rt<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> idx<span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token keyword\">return<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><br \/>\n    <span class=\"token keyword\">int<\/span> m <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">(<\/span>l <span class=\"token operator\">&#043;<\/span> r<span class=\"token punctuation\">)<\/span> <span class=\"token operator\">&gt;&gt;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token function\">pushDown<\/span><span class=\"token punctuation\">(<\/span>rt<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>L <span class=\"token operator\">&lt;&#061;<\/span> m<span class=\"token punctuation\">)<\/span> <span class=\"token function\">update<\/span><span class=\"token punctuation\">(<\/span>L<span class=\"token punctuation\">,<\/span> R<span class=\"token punctuation\">,<\/span> idx<span class=\"token punctuation\">,<\/span> l<span class=\"token punctuation\">,<\/span> m<span class=\"token punctuation\">,<\/span> rt <span class=\"token operator\">&lt;&lt;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>R <span class=\"token operator\">&gt;<\/span> m<span class=\"token punctuation\">)<\/span> <span class=\"token function\">update<\/span><span class=\"token punctuation\">(<\/span>L<span class=\"token punctuation\">,<\/span> R<span class=\"token punctuation\">,<\/span> idx<span class=\"token punctuation\">,<\/span> m <span class=\"token operator\">&#043;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">,<\/span> r<span class=\"token punctuation\">,<\/span> rt <span class=\"token operator\">&lt;&lt;<\/span> <span class=\"token number\">1<\/span> <span class=\"token operator\">|<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<p><span class=\"token keyword\">int<\/span> <span class=\"token function\">query<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> x<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> l<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> r<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> rt<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n    <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>cover<span class=\"token punctuation\">[<\/span>rt<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&gt;&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token keyword\">return<\/span> cover<span class=\"token punctuation\">[<\/span>rt<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token keyword\">int<\/span> m <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">(<\/span>l <span class=\"token operator\">&#043;<\/span> r<span class=\"token punctuation\">)<\/span> <span class=\"token operator\">&gt;&gt;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>x <span class=\"token operator\">&lt;&#061;<\/span> m<span class=\"token punctuation\">)<\/span> <span class=\"token keyword\">return<\/span> <span class=\"token function\">query<\/span><span class=\"token punctuation\">(<\/span>x<span class=\"token punctuation\">,<\/span> l<span class=\"token punctuation\">,<\/span> m<span class=\"token punctuation\">,<\/span> rt <span class=\"token operator\">&lt;&lt;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token keyword\">else<\/span> <span class=\"token keyword\">return<\/span> <span class=\"token function\">query<\/span><span class=\"token punctuation\">(<\/span>x<span class=\"token punctuation\">,<\/span> m <span class=\"token operator\">&#043;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">,<\/span> r<span class=\"token punctuation\">,<\/span> rt <span class=\"token operator\">&lt;&lt;<\/span> <span class=\"token number\">1<\/span> <span class=\"token operator\">|<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<p><span class=\"token keyword\">void<\/span> <span class=\"token function\">solve<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n    <span class=\"token function\">sort<\/span><span class=\"token punctuation\">(<\/span>seg<span class=\"token punctuation\">,<\/span> seg <span class=\"token operator\">&#043;<\/span> n <span class=\"token operator\">&#043;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token function\">memset<\/span><span class=\"token punctuation\">(<\/span>cover<span class=\"token punctuation\">,<\/span> <span class=\"token operator\">&#8211;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">sizeof<\/span><span class=\"token punctuation\">(<\/span>cover<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token keyword\">for<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> i <span class=\"token operator\">&#061;<\/span> n<span class=\"token punctuation\">;<\/span> i <span class=\"token operator\">&gt;&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span> <span class=\"token operator\">&#8212;<\/span>i<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n        <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>seg<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">.<\/span>y1 <span class=\"token operator\">&#061;&#061;<\/span> seg<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">.<\/span>y2<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n            f<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> i<span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span> <span class=\"token keyword\">else<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n            <span class=\"token keyword\">int<\/span> k <span class=\"token operator\">&#061;<\/span> <span class=\"token function\">query<\/span><span class=\"token punctuation\">(<\/span>seg<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">.<\/span>x1<span class=\"token punctuation\">,<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">,<\/span> MAXC<span class=\"token punctuation\">,<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n            f<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> f<span class=\"token punctuation\">[<\/span>k<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><br \/>\n            <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>seg<span class=\"token punctuation\">[<\/span>k<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">.<\/span>y1 <span class=\"token operator\">&#061;&#061;<\/span> seg<span class=\"token punctuation\">[<\/span>k<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">.<\/span>y2<span class=\"token punctuation\">)<\/span> ansX<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> seg<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">.<\/span>x1<span class=\"token punctuation\">;<\/span><br \/>\n            <span class=\"token keyword\">else<\/span> ansX<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> ansX<span class=\"token punctuation\">[<\/span>k<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span><br \/>\n        <span class=\"token keyword\">int<\/span> L <span class=\"token operator\">&#061;<\/span> seg<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">.<\/span>x1<span class=\"token punctuation\">,<\/span> R <span class=\"token operator\">&#061;<\/span> seg<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">.<\/span>x2<span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>L <span class=\"token operator\">&gt;<\/span> R<span class=\"token punctuation\">)<\/span> <span class=\"token function\">swap<\/span><span class=\"token punctuation\">(<\/span>L<span class=\"token punctuation\">,<\/span> R<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token function\">update<\/span><span class=\"token punctuation\">(<\/span>L<span class=\"token punctuation\">,<\/span> R<span class=\"token punctuation\">,<\/span> i<span class=\"token punctuation\">,<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">,<\/span> MAXC<span class=\"token punctuation\">,<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<p><span class=\"token keyword\">void<\/span> <span class=\"token function\">answerQuery<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> x<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n    <span class=\"token keyword\">int<\/span> k <span class=\"token operator\">&#061;<\/span> <span class=\"token function\">query<\/span><span class=\"token punctuation\">(<\/span>x<span class=\"token punctuation\">,<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">,<\/span> MAXC<span class=\"token punctuation\">,<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>seg<span class=\"token punctuation\">[<\/span>k<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">.<\/span>y1 <span class=\"token operator\">!&#061;<\/span> seg<span class=\"token punctuation\">[<\/span>k<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">.<\/span>y2<span class=\"token punctuation\">)<\/span> x <span class=\"token operator\">&#061;<\/span> ansX<span class=\"token punctuation\">[<\/span>k<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>f<span class=\"token punctuation\">[<\/span>k<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;&#061;<\/span> n<span class=\"token punctuation\">)<\/span> cout <span class=\"token operator\">&lt;&lt;<\/span> x <span class=\"token operator\">&lt;&lt;<\/span> <span class=\"token char\">&#039;\\\\n&#039;<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token keyword\">else<\/span> cout <span class=\"token operator\">&lt;&lt;<\/span> x <span class=\"token operator\">&lt;&lt;<\/span> <span class=\"token char\">&#039; &#039;<\/span> <span class=\"token operator\">&lt;&lt;<\/span> seg<span class=\"token punctuation\">[<\/span>f<span class=\"token punctuation\">[<\/span>k<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">.<\/span>y1 <span class=\"token operator\">&lt;&lt;<\/span> <span class=\"token char\">&#039;\\\\n&#039;<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<p><span class=\"token keyword\">int<\/span> <span class=\"token function\">main<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n    ios<span class=\"token double-colon punctuation\">::<\/span><span class=\"token function\">sync_with_stdio<\/span><span class=\"token punctuation\">(<\/span><span class=\"token boolean\">false<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    cin<span class=\"token punctuation\">.<\/span><span class=\"token function\">tie<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">nullptr<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>    <span class=\"token keyword\">while<\/span> <span class=\"token punctuation\">(<\/span>cin <span class=\"token operator\">&gt;&gt;<\/span> n <span class=\"token operator\">&gt;&gt;<\/span> m<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n        <span class=\"token keyword\">for<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> i <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span> i <span class=\"token operator\">&lt;<\/span> n<span class=\"token punctuation\">;<\/span> <span class=\"token operator\">&#043;&#043;<\/span>i<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n            cin <span class=\"token operator\">&gt;&gt;<\/span> seg<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">.<\/span>x1 <span class=\"token operator\">&gt;&gt;<\/span> seg<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">.<\/span>y1 <span class=\"token operator\">&gt;&gt;<\/span> seg<span class=\"token punctuation\">[<\/span>i<span class=\"token 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