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package class_2022_03_3_week;
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import java.util.Arrays;
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// 来自美团
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// 有一块10000 * 10000 * 10000的立方体豆腐
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// 豆腐的前左下角放在(0,0,0)点，豆腐的后右上角放在(10000,10000,10000)点
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// 下面给出切法的数据结构
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// [a,b]
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// a = 1，表示x = b处，一把无穷大的刀平行于yz面贯穿豆腐切过去
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// a = 2，表示y = b处，一把无穷大的刀平行于xz面贯穿豆腐切过去
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// a = 3，表示z = b处，一把无穷大的刀平行于xy面贯穿豆腐切过去
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// a = 1 or 2 or 3，0<=b<=10000
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// 给定一个n*2的二维数组，表示切了n刀
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// 返回豆腐中最大的一块体积是多少
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public class Code02_CutDouFu {
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public static long maxCut(int[][] cuts) {
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if (cuts == null || cuts.length == 0) {
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return 10000L * 10000L * 10000L;
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}
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// 0 类型
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// 1 切哪了
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Arrays.sort(cuts, (a, b) -> a[0] != b[0] ? (a[0] - b[0]) : (a[1] - b[1]));
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int n = cuts.length;
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int i = 0;
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int xMaxDiff = 0;
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int pre = 0;
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while (i < n && cuts[i][0] == 1) {
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xMaxDiff = Math.max(xMaxDiff, cuts[i][1] - pre);
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pre = cuts[i][1];
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i++;
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}
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xMaxDiff = Math.max(xMaxDiff, 10000 - pre);
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int yMaxDiff = 0;
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pre = 0;
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while (i < n && cuts[i][0] == 2) {
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yMaxDiff = Math.max(yMaxDiff, cuts[i][1] - pre);
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pre = cuts[i][1];
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i++;
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}
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yMaxDiff = Math.max(yMaxDiff, 10000 - pre);
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int zMaxDiff = 0;
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pre = 0;
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while (i < n && cuts[i][0] == 3) {
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zMaxDiff = Math.max(zMaxDiff, cuts[i][1] - pre);
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pre = cuts[i][1];
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i++;
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}
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zMaxDiff = Math.max(zMaxDiff, 10000 - pre);
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return (long) xMaxDiff * (long) yMaxDiff * (long) zMaxDiff;
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}
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}
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