1113 Integer Set Partition (25 分)

Given a set of N (>) positive integers, you are supposed to partition them into two disjoint sets A1​​ and A2​​ of n1​​ and n2​​ numbers, respectively. Let S1​​ and S2​​ denote the sums of all the numbers in A1​​ and A2​​, respectively. You are supposed to make the partition so that ∣ is minimized first, and then ∣ is maximized.

Input Specification:

Each input file contains one test case. For each case, the first line gives an integer N (2), and then N positive integers follow in the next line, separated by spaces. It is guaranteed that all the integers and their sum are less than 231​​.

Output Specification:

For each case, print in a line two numbers: ∣ and ∣, separated by exactly one space.

Sample Input 1:

10
23 8 10 99 46 2333 46 1 666 555
 

Sample Output 1:

0 3611
 

Sample Input 2:

13
110 79 218 69 3721 100 29 135 2 6 13 5188 85
 

Sample Output 2:

1 9359
 
 
#include<bits/stdc++.h>
using namespace std;
const int maxn=1010;
struct node{
    int n,s;
};
map<int,node> mp;
vector<int> v;
int getSumL(int index){
    int sum=0;
    for(int i=0;i<=index;i++){
        sum+=v[i];
    }
    return sum;
}
int getSumR(int index){
    int sum=0;
    for(int i=index;i<v.size();i++){
        sum+=v[i];
    }
    return sum;
}

int main(){
    int n;
    cin>>n;
    v.resize(n);
    for(int i=0;i<n;i++){
        cin>>v[i];
    }
    sort(v.begin(),v.end());
    int cnt;
    int sum1=0,sum2=0;
    if(n%2==0){
        cnt=0;
        for(int i=0;i<v.size();i++){
            if(i<n/2){
                sum1+=v[i];
            }
            else{
                sum2+=v[i];
            }
        }
    }
    else{
        cnt=1;
        for(int i=0;i<v.size();i++){
            if(i<n/2){
                sum1+=v[i];
            }
            else{
                sum2+=v[i];
            }
        }
    }
    cout<<cnt<<" "<<abs(sum1-sum2)<<endl;
    return 0;
}

一道水题,却被我想的复杂,真是无语

posted @ 2021-02-28 23:16  XA科研  阅读(63)  评论(0)    收藏  举报