第十二章贪心 5 AcWing 1603. 整数集合划分

╰+哭是因爲堅強的太久メ 2024-03-31 13:51 76阅读 0赞

## 第十二章 贪心 5 AcWing 1603. 整数集合划分 ##

### 原题链接 ###

[AcWing 1603. 整数集合划分][AcWing 1603.]

### 算法标签 ###

贪心

### 思路 ###

![在这里插入图片描述][2c12f843cd74409ea8d9261f50271903.png]  
![在这里插入图片描述][8896682bef8546e8abdbfe8e3bd775c9.png]  
![在这里插入图片描述][041bf5090c1548f6862aa3ea00f69063.png]  
![在这里插入图片描述][91d1235066d54cdd9c2e5c830c629041.png]  
![在这里插入图片描述][40182a80af724c96810ab063d984d6c2.png]

### 代码 ###

#pragma GCC optimize(2)
    #pragma GCC optimize(3)
    #include<bits/stdc++.h>
    #define int long long
    #define xx first
    #define yy second
    #define ump unordered_map
    #define us unordered_set
    #define pq priority_queue
    #define rep(i, a, b) for(int i=a;i<b;++i)
    #define Rep(i, a, b) for(int i=a;i>=b;--i)
    using namespace std;
    typedef pair<int, int> PII;
    const int N=100005, inf=0x3f3f3f3f3f3f3f3f, mod=1e9+7;
    const double Exp=1e-8;
    //int t, n, m, cnt, ans;
    int w[N];
    inline int rd(){
       int s=0,w=1;
       char ch=getchar();
       while(ch<'0'||ch>'9'){if(ch=='-')w=-1;ch=getchar();}
       while(ch>='0'&&ch<='9') s=s*10+ch-'0',ch=getchar();
       return s*w;
    }
    void put(int x) {
        if(x<0) putchar('-'),x=-x;
        if(x>=10) put(x/10);
        putchar(x%10^48);
    }
    signed main(){
    	ios::sync_with_stdio(false);
    	cin.tie(0);
    	cout.tie(0);
    	int n=rd();
    	rep(i, 0, n){
    	    w[i]=rd();
    	}
    	sort(w, w+n);
    	int s1=0, s2=0;
    	rep(i, 0, n/2){
    	    s1+=w[i];
    	}
    	rep(i, n/2, n){
    	    s2+=w[i];
    	}
    	printf("%lld %lld", n%2, s2-s1);
    	return 0;
    }

### 参考文献 ###

[AcWing 1603. 整数集合划分（寒假每日一题）y总视频讲解][AcWing 1603. _y]

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![在这里插入图片描述][9cb4cb80a18345158f8a69e2f196e5b9.png]

[AcWing 1603.]: https://www.acwing.com/problem/content/1605/
[2c12f843cd74409ea8d9261f50271903.png]: https://image.dandelioncloud.cn/pgy_files/images/2024/03/31/8d2c017ebdcb44ca9daf637d5664f5d0.png
[8896682bef8546e8abdbfe8e3bd775c9.png]: https://image.dandelioncloud.cn/pgy_files/images/2024/03/31/baa33bbe9cc44e24bbea40df0136eb2c.png
[041bf5090c1548f6862aa3ea00f69063.png]: https://image.dandelioncloud.cn/pgy_files/images/2024/03/31/70a00e46880647ccb566f6b88f39f9e5.png
[91d1235066d54cdd9c2e5c830c629041.png]: https://image.dandelioncloud.cn/pgy_files/images/2024/03/31/ffcbafce5fbc4a1680c3c59ed9055857.png
[40182a80af724c96810ab063d984d6c2.png]: https://image.dandelioncloud.cn/pgy_files/images/2024/03/31/50acc5ecfef340778a268fa7ecdcb2de.png
[AcWing 1603. _y]: https://www.acwing.com/video/2328/
[9cb4cb80a18345158f8a69e2f196e5b9.png]: https://image.dandelioncloud.cn/pgy_files/images/2024/03/31/56b842c435e347f08af3cc4f161c7e58.png