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poj Monthly Expense(最大值最小化)

                                 Monthly Expense


题目链接:Click Here~

题目分析:

   给出N个数,要求你合并连续的数,使其合并在满足不差过M个合并后的集合的时候,不超过M个集合的和的最大值最小。


思路分析:

   1、二分集合的和的最小值。

   2、C:判断是否满足集合不超过M个?


#include <iostream>
#include <algorithm>
#include <cstdio>
using namespace std;

const int MAXN = 100000 + 10;
const int INF = ~0U >> 2;

int mony[MAXN];
int N,M;

bool C(int m){
    int j,cnt = 0;

    for(int i = 0;i < N;i = j){
        if(mony[i] > m)
            return false;

        int sum = 0;
        j = i;

        while(j < N&&sum + mony[j] <= m){
            sum += mony[j];
            ++j;
        }

        cnt++;

    }

    return cnt <= M;
}

void solve(){
   int lb = -1,ub = INF;

   while(ub - lb > 1){
       int mid = (lb + ub) / 2;
       if(C(mid)) ub = mid;
       else lb = mid;
   }
   printf("%d\n",ub);
}

int main()
{
    while(~scanf("%d%d",&N,&M)){
        for(int i = 0;i < N;++i)
            scanf("%d",&mony[i]);

        solve();
    }
    return 0;
}



poj Monthly Expense(最大值最小化)