Submission #657926

# Submission time Handle Problem Language Result Execution time Memory
657926 2022-11-11T17:16:07 Z Tenis0206 Split the sequence (APIO14_sequence) C++11
100 / 100
1622 ms 84224 KB
#include <bits/stdc++.h>
#define int long long
 
using namespace std;
 
const int oo = INT_MAX;
 
int n,k;
int v[100005];
 
int sp[100005];
 
int dp[100005][2];
signed l[100005][205];
 
int sum(int st, int dr)
{
    if(st > dr)
    {
        return 0;
    }
    return sp[dr] - sp[st - 1];
}
 
void divide(int st, int dr, int min_chosen, int max_chosen, int j)
{
    if(st > dr)
    {
        return;
    }
    int mij = (st + dr) >> 1;
    dp[mij][j % 2] = -oo;
    for(int p=min_chosen; p<=min(max_chosen,mij); p++)
    {
        if(dp[p-1][(j-1) % 2] + sum(p,mij) * sum(mij + 1, n) >= dp[mij][j % 2])
        {
            dp[mij][j % 2] = dp[p-1][(j-1) % 2] + sum(p,mij) * sum(mij + 1, n);
            l[mij][j] = p - 1;
        }
    }
    divide(st,mij-1,min_chosen,l[mij][j] + 1,j);
    divide(mij+1,dr,l[mij][j]+1,max_chosen,j);
}
 
signed main()
{
    ios::sync_with_stdio(false);
    cin.tie(0);
    cin>>n>>k;
    ++k;
    for(int i=1; i<=n; i++)
    {
        cin>>v[i];
        sp[i] = sp[i-1] + v[i];
    }
    for(int i=1; i<=n; i++)
    {
        dp[i][1] = sum(1,i) * sum(i + 1, n);
    }
    for(int j=2; j<=k; j++)
    {
        divide(1,n,1,n,j);
    }
    cout<<dp[n][k % 2]<<'\n';
    int poz = n;
    vector<int> rez;
    while(poz)
    {
        poz = l[poz][k--];
        if(poz)
        {
            rez.push_back(poz);
        }
    }
    reverse(rez.begin(),rez.end());
    for(auto it : rez)
    {
        cout<<it<<' ';
    }
    cout<<'\n';
    return 0;
}
# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB contestant found the optimal answer: 108 == 108
2 Correct 1 ms 340 KB contestant found the optimal answer: 999 == 999
3 Correct 1 ms 340 KB contestant found the optimal answer: 0 == 0
4 Correct 1 ms 340 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 1 ms 324 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 1 ms 340 KB contestant found the optimal answer: 1 == 1
7 Correct 1 ms 340 KB contestant found the optimal answer: 1 == 1
8 Correct 1 ms 340 KB contestant found the optimal answer: 1 == 1
9 Correct 1 ms 340 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 1 ms 340 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 1 ms 340 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 1 ms 340 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 0 ms 340 KB contestant found the optimal answer: 140072 == 140072
14 Correct 1 ms 340 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 1 ms 340 KB contestant found the optimal answer: 805 == 805
16 Correct 1 ms 324 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 1 ms 340 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 0 ms 340 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 1 ms 340 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 1 ms 340 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 1 ms 340 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 1 ms 328 KB contestant found the optimal answer: 933702 == 933702
7 Correct 0 ms 340 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 1 ms 332 KB contestant found the optimal answer: 687136 == 687136
9 Correct 1 ms 340 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 1 ms 340 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 1 ms 468 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 1 ms 468 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 1 ms 468 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 1 ms 468 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 1 ms 468 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 2 ms 468 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 2 ms 468 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 1 ms 468 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 1 ms 456 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 1 ms 468 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 1 ms 1108 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 1 ms 1108 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 10 ms 1108 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 1 ms 1108 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 10 ms 1092 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 7 ms 1108 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 8 ms 1108 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 6 ms 1108 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 3 ms 1108 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 4 ms 1180 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 6 ms 8604 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 5 ms 8704 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 85 ms 8656 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 6 ms 8660 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 68 ms 8688 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 69 ms 8684 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 78 ms 8712 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 58 ms 8660 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 64 ms 8608 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 92 ms 8704 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 57 ms 83788 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 56 ms 83872 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 1574 ms 84224 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 56 ms 84172 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 1622 ms 83840 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 1103 ms 83892 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 1315 ms 84156 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 986 ms 84048 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 1088 ms 84024 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 1458 ms 84028 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845