3738 : Cow Lineup

제한시간
1000 ms
메모리제한
128 MB
해결횟수
0 회
시도횟수
0 회

문제

Farmer John has hired a professional photographer to take a picture of some of his cows.  Since FJ's cows represent a variety of different breeds, he would like the photo to contain at least one cow from each distinct breed present in his herd.

FJ's N cows are all standing at various positions along a line, each described by an integer position (i.e., its x coordinate) as well as an integer breed ID.  FJ plans to take a photograph of a contiguous range of cows along the line.  The cost of this photograph is equal its size -- that is, the difference between the maximum and minimum x coordinates of the cows in the range of the photograph.

Please help FJ by computing the minimum cost of a photograph in which there is at least one cow of each distinct breed appearing in FJ's herd.​

입력형식

* Line 1: The number of cows, N (1 <= N <= 50,000).

* Lines 2..1+N: Each line contains two space-separated positive integers specifying the x coordinate and breed ID of a single cow.  Both numbers are at most 1 billion.​

출력형식

* Line 1: The smallest cost of a photograph containing each distinct breed ID.​

```6
25 7
26 1
15 1
22 3
20 1
30 1```

출력 예

`4`

Hint!

* INPUT DETAILS:

There are 6 cows, at positions 25,26,15,22,20,30, with respective breed IDs 7,1,1,3,1,1.​

* OUTPUT DETAILS:

The range from x=22 up through x=26 (of total size 4) contains each of the distinct breed IDs 1, 3, and 7 represented in FJ's herd.​

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