• 题意:给你一组数\(a\)和一个数\(T\),将这组数分为两组\(c\)和\(d\),定义\(f(x)\)为数组\(x\)中任意两个不同元素的和为\(T\)的个数,问为了使\(min(f(c)+f(d))\),应该怎样对\(a\)分组.

  • 题解:我们可以分成三种情况,假如一组数中所有元素都\(< \frac{T}{2}\),或者\(>\frac{T}{2}\),那么它们的\(f(x)\)都为\(0\),然而对于\(a[i]=\frac {T}{2}\)的情况,我们将其交叉放在两组即可.

  • 代码:

    int t;
    int n;
    ll T;
    ll a[N]; int main() {
    ios::sync_with_stdio(false);cin.tie(0);cout.tie(0);
    cin>>t;
    while(t--){
    cin>>n>>T;
    for(int i=1;i<=n;++i){
    cin>>a[i];
    }
    int col;
    int cnt=0;
    for(int i=1;i<=n;++i){
    if(T%2==0 && a[i]*2==T){
    cnt=1-cnt;
    col=cnt;
    }
    else if(a[i]<=T/2){
    col=0;
    }
    else col=1;
    cout<<col<<" ";
    }
    cout<<'\n';
    } return 0;
    }

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