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Time Limit: 2 s Memory Limit: 1024 MB Total points: 100 Difficulty: [show]

#6192. Interval Problem

統計

给定 $n$ 个区间 $[l_i, r_i]$。如果两个区间相交,则在它们之间添加一条无向无权边。

令 $d(i, j)$ 为第 $i$ 个区间与第 $j$ 个区间之间的最短路径长度。如果从 $i$ 到 $j$ 没有路径,则 $d(i, j) = 0$。

对于 $i = 1, 2, \dots, n$,输出 $\sum_{j=1}^n d(i, j)$。

输入格式

第一行包含一个整数 $n$ ($1 \le n \le 2 \times 10^5$)。

接下来的 $n$ 行,每行包含两个整数 $l_i, r_i$ ($1 \le l_i < r_i \le 2n$)。保证所有区间的端点互不相同。

输出格式

输出 $n$ 行,每行对应 $i = 1, 2, \dots, n$ 的答案。

样例

输入 1

5
2 3
6 7
1 9
5 10
4 8

输出 1

7
5
4
5
5

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