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    #include <bits/stdc++.h>
    
    using namespace std;
    
    const int N = 50,M = 1200000;
    typedef long long ll;
    
    
    ll x[M],y[M];
    ll b[M],c[M],S,mx,mn,ans1,ans2;
    int T,n,a[N],len,m,lg2[M];
    int main(){
        lg2[0] = -1;for (int i = 1;i < M;i++) lg2[i]=lg2[i/2]+1;
    
        while (~scanf("%d",&n)){
            mx = 0;mn = 0x7fffffff;mn = mn*mn;
            S = 0;
            m = n/2;
            for (int i = 1;i <= n;i++) {
                scanf("%d",&a[i]);
                S += a[i];
            }
            b[0] = 0;
            for (int i = 1;i <= m;i++){
                for (int j = 0;j < (1<<i>>1);j++){
                    x[j] = b[j];
                    y[j] = b[j]+a[i];
                }
                int u = 0,v = 0;
                for (int j = 0;j < (1<<i);j++){
                    if (u == (1<<i>>1)) b[j] = y[v++];
                    else if (v == (1<<i>>1)) b[j] = x[u++];
                    else if (x[u] < y[v]) b[j] = x[u++];
                    else b[j] = y[v++];
                }
            }
    
            c[0] = 0;
            for (int i = 1;i <= n-m;i++){
                for (int j = 0;j < (1<<i>>1);j++){
                    x[j] = c[j];
                    y[j] = c[j]+a[m+i];
                }
                int u = 0,v = 0;
                for (int j = 0;j < (1<<i);j++){
                    if (u == (1<<i>>1)) c[j] = y[v++];
                    else if (v == (1<<i>>1)) c[j] = x[u++];
                    else if (x[u] < y[v]) c[j] = x[u++];
                    else c[j] = y[v++];
                }
            }
            int l = (1<<m)-1 , r = (1 << n-m)-1;
            for (int u = 0,v = r;u <= l;u++){
                
                while (v >= 0 && b[u]+c[v] > S/2){
                    mn = min(mn,b[u]+c[v]);
                    v--;
                }
                if (b[u]+c[v] <= S/2) mx = max(mx,b[u]+c[v]);
                if (v < r) v++;
            }
            if (mx*(S-mx) > mn*(S-mn)) ans1 = mx;
            else ans1 = mn;
            mx = 0;mn = 0x7fffffff;mn = mn*mn;
            for (int u = 0,v = r;u <= l;u++){
                
                while (v >= 0 && (b[u]+c[v])*2 > S/2){
                    mn = min(mn,(b[u]+c[v])*2);
                    v--;
                }
                if ((b[u]+c[v])*2 <= S/2) mx = max(mx,(b[u]+c[v])*2);
                if (v < r) v++;
            }
            if (mx*(S-mx) >= mn*(S-mn)) ans2 = mx;
            else ans2 = mn;
            ll s1 = ans1*(S-ans1),s2 = ans2*(S-ans2);
            if (s1 == s2) printf("%lld
    ",max(ans1,S-ans2));
            else if (s1 < s2) printf("%lld
    ",S-ans2);
            else printf("%lld
    ",ans1);        
        }
        return 0;
    }
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  • 原文地址:https://www.cnblogs.com/victbr/p/6700372.html
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