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package g1801_1900.s1840_maximum_building_height;
// #Hard #Array #Math #2022_05_07_Time_59_ms_(94.64%)_Space_93.4_MB_(98.21%)
import java.util.Arrays;
import java.util.Comparator;
public class Solution {
public int maxBuilding(int n, int[][] restrictions) {
if (restrictions.length == 0) {
return n - 1;
}
int m = restrictions.length;
Arrays.sort(restrictions, Comparator.comparingInt(a -> a[0]));
for (int i = m - 2; i >= 0; i--) {
restrictions[i][1] =
Math.min(
restrictions[i][1],
restrictions[i + 1][1] + restrictions[i + 1][0] - restrictions[i][0]);
}
int id = 1;
int height = 0;
int res = 0;
for (int[] r : restrictions) {
int currMax;
if (r[1] >= height + r[0] - id) {
currMax = height + r[0] - id;
height = currMax;
} else {
currMax = (height + r[0] - id + r[1]) / 2;
height = r[1];
}
id = r[0];
res = Math.max(res, currMax);
}
if (id != n) {
res = Math.max(res, height + n - id);
}
return res;
}
}
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