Submission #1110531

#TimeUsernameProblemLanguageResultExecution timeMemory
1110531simona1230Split the sequence (APIO14_sequence)C++17
22 / 100
20 ms11088 KiB
#include <bits/stdc++.h>

using namespace std;
long long n,k;
long long a[200001];
long long dp[64][64][64];
long long p[64];

void read()
{
    cin>>n>>k;
    for(long long i=1;i<=n;i++)
    {
        cin>>a[i];
        p[i]=p[i-1]+a[i];
    }
}

long long idx[64][64][64];
long long cntl[64][64][64];

vector<long long> ans;

void rec(long long i,long long j,long long c)
{
    if(c==0)return;
    ans.push_back(idx[i][j][c]);
    rec(i,idx[i][j][c],cntl[i][j][c]);
    rec(idx[i][j][c]+1,j,c-cntl[i][j][c]-1);
}


void solve()
{
    for(long long l=1;l<=n;l++)
    {
        for(long long i=1;i<=n;i++)
        {
            long long j=i+l-1;
            if(j>n)continue;

            for(long long c=1;c<=k;c++)
            {
                // transition
                for(long long mid=i;mid<j;mid++)
                {
                    for(long long c1=c-1;c1<c;c1++)
                    {
                        long long c2=c-c1-1;

                        long long curr=dp[i][mid][c1]+dp[mid+1][j][c2]+(p[j]-p[mid])*(p[mid]-p[i-1]);
                        if(curr>=dp[i][j][c])
                        {
                            dp[i][j][c]=curr;
                            idx[i][j][c]=mid;
                            cntl[i][j][c]=c1;
                        }
                    }
                }
                ///
            }
        }
    }
    cout<<dp[1][n][k]<<endl;
    rec(1,n,k);
    sort(ans.begin(),ans.end());
    for(long long i=0;i<k;i++)
        cout<<ans[i]<<" ";
    cout<<endl;
}

int main()
{
	ios_base::sync_with_stdio(false);
	cin.tie(NULL);
	cout.tie(NULL);
	read();
	solve();
	return 0;
}
/*
7 3
4 1 3 4 0 2 3
*/
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