Submission #1013112

# Submission time Handle Problem Language Result Execution time Memory
1013112 2024-07-03T08:00:48 Z Luvidi Split the sequence (APIO14_sequence) C++17
50 / 100
2000 ms 32224 KB
#include <bits/stdc++.h>
using namespace std;

#define ll long long
#define pll pair<ll, ll>
#define pii pair<int, int>
#define fs first
#define sc second
#define pb push_back

void solve() {
    int n,k;
    cin>>n>>k;
    k++;
    ll a[n+1],pre[n+1];
    pre[0]=0;
    for(int i=1;i<=n;i++){
        cin>>a[i];
        pre[i]=pre[i-1]+a[i];
    }

    ll dp[n+1][k+1],prev[n+1][k+1];
    memset(dp,0,sizeof(dp));
    for(int i=0;i<=n;i++){
        for(int j=i+1;j<=k;j++)dp[i][j]=-1e18;
        if(i)dp[i][0]=-1e18;
    }
    for(int i=1;i<=n;i++){
        for(int j=1;j<=k;j++){
            for(int x=1;x<=i;x++){
                dp[i][j]=max(dp[i][j],pre[x-1]*(pre[i]-pre[x-1])+dp[x-1][j-1]);
                if(dp[i][j]==pre[x-1]*(pre[i]-pre[x-1])+dp[x-1][j-1])prev[i][j]=x-1;
            }
        }
    }
    cout<<dp[n][k]<<'\n';
    vector<int> ans;
    int c=n,x=k;
    while(c){
        ans.pb(c);
        c=prev[c][x];
        x--;
    }
    reverse(ans.begin(),ans.end());
    ans.pop_back();
    for(int i:ans)cout<<i<<' ';
}

int main() {   
    ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);

    solve();
}
# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB contestant found the optimal answer: 108 == 108
2 Correct 0 ms 348 KB contestant found the optimal answer: 999 == 999
3 Correct 0 ms 348 KB contestant found the optimal answer: 0 == 0
4 Correct 0 ms 348 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 0 ms 348 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 0 ms 348 KB contestant found the optimal answer: 1 == 1
7 Correct 0 ms 348 KB contestant found the optimal answer: 1 == 1
8 Correct 1 ms 348 KB contestant found the optimal answer: 1 == 1
9 Correct 1 ms 348 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 1 ms 348 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 1 ms 452 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 0 ms 456 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 0 ms 348 KB contestant found the optimal answer: 140072 == 140072
14 Correct 0 ms 344 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 0 ms 348 KB contestant found the optimal answer: 805 == 805
16 Correct 0 ms 348 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 0 ms 348 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 0 ms 348 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 1 ms 344 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 0 ms 348 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 1 ms 348 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 0 ms 348 KB contestant found the optimal answer: 933702 == 933702
7 Correct 1 ms 348 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 0 ms 348 KB contestant found the optimal answer: 687136 == 687136
9 Correct 1 ms 348 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 0 ms 348 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 0 ms 344 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 11 ms 860 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 0 ms 348 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 5 ms 860 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 6 ms 860 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 7 ms 860 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 2 ms 348 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 1 ms 344 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 3 ms 604 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 3 ms 348 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 3 ms 348 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 193 ms 3416 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 3 ms 344 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 187 ms 3420 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 162 ms 3148 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 194 ms 3420 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 182 ms 3608 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 32 ms 1116 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 71 ms 1628 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 257 ms 1372 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 244 ms 1376 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Execution timed out 2077 ms 32224 KB Time limit exceeded
4 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Execution timed out 2017 ms 9816 KB Time limit exceeded
2 Halted 0 ms 0 KB -