LogiQuest

272. Remove Overlapping Intervals

MediumIntervals

Print the minimum number of intervals to remove so the rest do not overlap (touching at an endpoint is allowed).

Input format

Line 1: n Next n lines: s e

Output format

The minimum removals.

Example 1

Input

4
1 2
2 3
3 4
1 3

Output

1

Example 2

Input

3
1 2
1 2
1 2

Output

2

Constraints

1 ≤ n ≤ 10⁵

Read input from standard input and print the answer to standard output. Your code is judged against 3 test cases, most of them hidden.

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