poj 3627 Monthly Expense

题意:

我没看懂题意...

有n个数字,要把他们分成m组,每组都是连续的几个数字,要求使数字和最大的组 最小

解题思路:

二分最小数字和 判断是否能够分成至少M组

下界是max(a[1] ~a[n]) 上界是a[1] + a[2] + ....+ a[n];

code:

#include<cstdio>
#include<iostream>
#include<cstring>
#include<algorithm>
#include<vector>
#include<string>
#include<queue>
#include<map>
#include<set>
#include<cmath>
using namespace std;

#define INF 0x3f3f3f3f
#define PI acos(-1.0)
#define eps 1e-4
#define maxd 10e4
#define mem(a, b) memset(a, b, sizeof(a))
typedef pair<int,int> pii;
typedef long long LL;
//------------------------------
const int maxn = 100005;
int a[maxn], sum;
int n,m;
int l, r;

void init(){
    for(int i = 0; i < n; i++){
        scanf("%d",&a[i]);
        r += a[i];
        l = max(l, a[i]);
    }
}
bool is_ok(int x){
    int cnt = 1;
    int all = 0;
    for(int i = 0; i < n; i++){
        all = a[i] + all;
        if(all > x){
            cnt++;
            all = a[i];
        }
        if(cnt > m) return false;
    }
    if(cnt <= x) return true;
}
void solve(){
    while(l < r){
        int mid = l + (r-l)/2;
        if(is_ok(mid)) r = mid;
        else l = mid + 1;
    }
    printf("%d\n",l);
}
int main(){
    scanf("%d%d",&n,&m);
    init();
    solve();
    return 0;
}

近几天做了几道这种题目了 咋一看好像并没有入手点 但是像这种招最大值最小值类的题目~用二分穷举的方式来搜寻最佳答案 往往都是一种很好的解决方法!

时间: 2024-10-25 04:07:02

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