USACO_1.3_barn1

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面对农舍屋顶被暴风雨破坏的情况，Farmer John需要利用有限数量的木板来覆盖住有牛群的畜栏，确保它们的安全。此问题要求找出一种方案，用尽可能少的木板覆盖所有有牛的畜栏，同时最小化所使用木板的总长度。

Barn Repair

It was a dark and stormy night that ripped the roof and gates off the stalls that hold Farmer John's cows. Happily, many of the cows were on vacation, so the barn was not completely full.

The cows spend the night in stalls that are arranged adjacent to each other in a long line. Some stalls have cows in them; some do not. All stalls are the same width.

Farmer John must quickly erect new boards in front of the stalls, since the doors were lost. His new lumber supplier will supply him boards of any length he wishes, but the supplier can only deliver a small number of total boards. Farmer John wishes to minimize the total length of the boards he must purchase.

Given M (1 <= M <= 50), the maximum number of boards that can be purchased; S (1 <= S <= 200), the total number of stalls; C (1 <= C <= S) the number of cows in the stalls, and the C occupied stall numbers (1 <= stall_number <= S), calculate the minimum number of stalls that must be blocked in order to block all the stalls that have cows in them.

Print your answer as the total number of stalls blocked.

PROGRAM NAME: barn1

INPUT FORMAT

Line 1:	M, S, and C (space separated)
Lines 2-C+1:	Each line contains one integer, the number of an occupied stall.

SAMPLE INPUT (file barn1.in)

OUTPUT FORMAT

A single line with one integer that represents the total number of stalls blocked.

SAMPLE OUTPUT (file barn1.out)

[One minimum arrangement is one board covering stalls 3-8, one covering 14-21, one covering 25-31, and one covering 40-43.]

贪心水过，以cow编号之间的空位排序

/*
ID: zxxlove1
PROG: barn1
LANG: C++
*/
#include <iostream>
#include <fstream>
#include <string>
#include <cstring>
#include <algorithm>
using namespace std;
int M,S,C,c,d;
int a[201],b[201];
int main()
{
    ofstream fout("barn1.out");
    ifstream fin("barn1.in");
    fin>>M>>S>>C;
    int j=0;
    for(int i=0; i<C; i++)
        fin>>a[i];
    sort(a,a+C);
    for(int i=1; i<C; i++)
        if(a[i]>a[i-1]+1) b[j++]=a[i]-a[i-1]-1;
    sort(b,b+j);
    int ans=0;
    for(int i=j-1; i>=0&&(j-1-i)<M-1; i--)
        ans+=b[i];
    fout<<a[C-1]-a[0]+1-ans<<endl;
    return 0;
}