题目背景

【问题描述】

农民约翰雇一个专业摄影师给他的部分牛拍照。由于约翰的牛有好多品种，他喜欢他的照片包含每

个品种的至少一头牛。

约翰的牛都站在一条沿线的不同地方， 每一头牛由一个整数位置 X_i以及整数品种编号 ID_i表示。

约翰想拍一张照片，这照片由沿线的奶牛的连续范围组成。照片的成本与规模相当，这就意味着，在一

系列照片中的最大和最小 X 坐标的差距决定了照片的成本。

请帮助约翰计算最小的照片成本，这些照片中有每个不同的品种的至少一头牛，没有两头牛愿意站

在同一个地点的。

【输入格式】

第 1 行：牛的数量 N；

第 2..1+N 行：每行包含 2 个以空格分隔的正整数 X_i 和 ID_i；意义如题目描述；

【输出格式】

输出共一行，包含每个不同品种 ID 的照片的最低成本。

【输入样例】

6 25 7 26 1 15 1 22 3 20 1 30 1 【输出样例】

4 【输入说明】在不同的坐标点 25,26,15,22,20,30 中有六头牛

【输出说明】在约翰的牛中，从 X=22 到 X=26（整个规模为 4）包含了每个的不同品种的 ID 3，7 和 1。

【数据规模】

对于 50%的数据： 1≤N≤300；

对于 100%的数据：1≤N≤50,000；0≤X_i≤1,000,000,000；1≤ID_i≤1,000,000,000；

感谢uid=15936的翻译

题目描述

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.

依次给出N头牛的位置及种类，要求找出连续一段，使其中包含所有种类的牛，问：这连续的一段最小长度是多少？

输入格式

* 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.

输出格式

* 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 

4 

提示

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

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.

感谢 wjcwinmt 提供题目简述