农夫约翰请了一位专业摄影师给他的一些奶牛拍照。
约翰拥有多种不同品种的奶牛,他希望照片中包含每个品种的奶牛至少一头。
约翰的 N 头奶牛沿一条直线站立在不同的位置。
每头奶牛用其所在位置坐标以及其品种编号来描述。
约翰计划为一段连续区间内的奶牛进行拍照,照片的成本等于它的尺寸大小,即照片中位于两端的奶牛的位置坐标之差。
请帮助约翰计算包含每个品种的奶牛至少一头的照片的最低成本。
第一行包含整数 N。
接下来 N 行,每行包含两个整数 x,ID,表示一头奶牛的坐标位置以及品种编号。
输出满足条件的照片的最低成本。
1≤N≤50000,
1≤x,ID≤1e9
6 25 7 26 1 15 1 22 3 20 1 30 1
4
位置范围 [22,26] 可包含全部 3 个不同品种的奶牛。
Problem 2: Cow Lineup [Brian Dean]
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.
PROBLEM NAME: lineup
INPUT FORMAT:
* 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.
SAMPLE INPUT (file lineup.in):
6
25 7
26 1
15 1
22 3
20 1
30 1
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 FORMAT:
* Line 1: The smallest cost of a photograph containing each distinct
breed ID.
SAMPLE OUTPUT (file lineup.out):
4
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.
6
25 7
26 1
15 1
22 3
20 1
30 1
4