I have to find the maximum sum of 4 numbers from an array of 5. My code fails for bigger numbers

I had to find the maximum sum of 4 numbers from an array of 5, and a minimum sum in the same way. My code fails for some of the bigger test cases as the maxsum for some reason goes to negative

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

int minimini(int list[]){
    int minisum=0;
    int taker;
    int a=max({list[0],list[1],list[2],list[3],list[4]});
    for (int i=0; i<5; i++){
        taker=list[i];
        if(taker!=a){
            minisum=minisum+taker;
        }
    }
return minisum;
}
int maxa(int list[]){
    int maxsum=0;
    int taker;
    int a=min({list[0],list[1],list[2],list[3],list[4]});
    for (int i=0; i<5; i++){
        taker=list[i];
        if(taker!=a){
            maxsum=maxsum+taker;
            cout<<"maxsum >>"<<maxsum;
            cout<<"a="<<a;
        }
    }
return maxsum;
}
int main(){
    int list[5];
    int minisum, maxsum;
    for (int i=0; i<5; i++){
        cin>>list[i];
    }

    minisum=minimini(list);
    maxsum=maxa(list);

    cout<<minisum<<" "<<maxsum;


    return 0;
}