Submission #216815

# Submission time Handle Problem Language Result Execution time Memory
216815 2020-03-28T06:08:20 Z Autoratch Split the sequence (APIO14_sequence) C++14
100 / 100
1355 ms 81916 KB
#include <bits/stdc++.h>
using namespace std;

const int N = 1e5 + 1;
const int K = 201;

int n,k;
int a[N],op[K][N];
long long s[N],dp[2][N];
vector<int> ans;

void compute(int l,int r,int optl,int optr,int f,int id)
{
    if(l>r) return;
    int mid = (l+r)/2;
    long long val = -1;
    int opt = 1;
    for(int k = optl;k <= min(mid-1,optr);k++)
    {
        long long now = dp[f^1][k]+(s[mid]-s[k])*(s[k]);
        if(now>val) val = now,opt = k;
    }
    op[id][mid] = opt,dp[f][mid] = val;
    compute(l,mid-1,optl,opt,f,id);
    compute(mid+1,r,opt,optr,f,id);
}

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

    cin >> n >> k;
    for(int i = 1;i <= n;i++) cin >> a[i],s[i] = s[i-1]+a[i];
    for(int i = 1;i <= k;i++) compute(1,n,1,n,i%2,i);
    cout << dp[k%2][n] << '\n';
    for(int i = k,x = n;i >= 1;i--) ans.push_back(x = op[i][x]);
    reverse(ans.begin(),ans.end());
    for(int x : ans) cout << x << ' ';
}
# Verdict Execution time Memory Grader output
1 Correct 5 ms 384 KB contestant found the optimal answer: 108 == 108
2 Correct 4 ms 384 KB contestant found the optimal answer: 999 == 999
3 Correct 4 ms 384 KB contestant found the optimal answer: 0 == 0
4 Correct 4 ms 384 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 4 ms 384 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 4 ms 384 KB contestant found the optimal answer: 1 == 1
7 Correct 4 ms 384 KB contestant found the optimal answer: 1 == 1
8 Correct 4 ms 384 KB contestant found the optimal answer: 1 == 1
9 Correct 4 ms 384 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 4 ms 384 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 5 ms 384 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 4 ms 384 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 4 ms 384 KB contestant found the optimal answer: 140072 == 140072
14 Correct 4 ms 384 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 4 ms 384 KB contestant found the optimal answer: 805 == 805
16 Correct 4 ms 384 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 4 ms 384 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 4 ms 384 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 5 ms 384 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 5 ms 640 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 4 ms 384 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 4 ms 384 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 4 ms 384 KB contestant found the optimal answer: 933702 == 933702
7 Correct 5 ms 512 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 4 ms 384 KB contestant found the optimal answer: 687136 == 687136
9 Correct 4 ms 384 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 5 ms 512 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 4 ms 384 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 4 ms 384 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 6 ms 1408 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 5 ms 384 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 5 ms 1152 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 6 ms 1408 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 6 ms 1408 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 5 ms 640 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 5 ms 512 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 5 ms 640 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 5 ms 384 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 5 ms 384 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 10 ms 2048 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 5 ms 384 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 13 ms 2176 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 14 ms 1968 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 11 ms 2176 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 10 ms 2048 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 6 ms 768 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 8 ms 1024 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 7 ms 768 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 6 ms 768 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 61 ms 9336 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 6 ms 768 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 74 ms 5880 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 71 ms 6776 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 68 ms 7164 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 44 ms 6008 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 66 ms 6776 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 81 ms 8568 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 29 ms 4224 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 27 ms 4216 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 598 ms 81916 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 23 ms 4736 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 1355 ms 81708 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 818 ms 58108 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 640 ms 62328 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 451 ms 51192 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 631 ms 58360 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 816 ms 74028 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845