---
title: "蛋糕游戏"
created: 2025-11-28
tags:
  - 算法
---

# 蛋糕游戏

## 题目 [蛋糕游戏](https://www.acwing.com/problem/content/description/6121/)

![[ca7623c8f1ccb1685ad62376302fa888-ca7623c8.png]]

## 思路分析

![[image-862d6229.png]]

## 代码实现

```cpp
#include<bits/stdc++.h>
using namespace std;
#define endl '\n'

const int N=5e5+10;

int main()
{
    ios::sync_with_stdio(0),cin.tie(0),cout.tie(0);
    int T;cin>>T;
    while(T--){
        long long a[N],s[N];
        int n;cin>>n;
        long long sum=0;
        for(int i=1;i<=n;i++){
            cin>>a[i];
            sum+=a[i];
            s[i]=s[i-1]+a[i];
        }
        long long two=-1;
        int cnt=n/2-1;
        for(int i=0;i<=cnt;i++){
            two=max(two,(s[i]-s[0])+(s[n]-s[n-cnt+i]));//n-(cnt-i)+1-1
        }
        long long one=sum-two;
        cout<<one<<" "<<two<<endl;
    }

    return 0;
}
```

## 同类题型

## 视频讲解

---
⬅️ [[激光炸弹|激光炸弹]] 🏠 [[00-刷题理模型]] ➡️ [[2-Learning/02-算法/03-刷题理模型/前缀和与差分相关模型/前缀和/赶牛入圈|赶牛入圈]]