区间合并:区间合并问题
区间合并
www.acwing.com/problem/content/805/

-
按区间的左端点排序
-
扫描整个区间,在这过程中把可能有交点的区间合并
- 全包含:不做改动
- 相交:right 后移
- 相离:更新至下一个维护区间
Java
import java.util.*;
public class Main {
static final int N = 100010;
static Pair[] pairs = new Pair[N];
static class Pair implements Comparable<Pair> {
int l, r;
public Pair(int l, int r) {
this.l = l;
this.r = r;
}
@Override
public int compareTo(Pair o) {
if (this.l == o.l) {
return this.r - o.r;
}
return this.l - o.l;
}
}
public static void main(String[] args) {
Scanner sc = new Scanner(System.in);
int n = sc.nextInt();
for (int i = 0; i < n; i++) {
int l = sc.nextInt();
int r = sc.nextInt();
pairs[i] = new Pair(l, r);
}
Arrays.sort(pairs, 0, n);
int result = 1;
int right = pairs[0].r;
for (int i = 1; i < n; i++) {
if (pairs[i].l <= right) {
// 合并区间
right = Math.max(right, pairs[i].r);
} else {
// 新区间
result++;
right = pairs[i].r;
}
}
System.out.println(result);
}
}