Submission #319931

# Submission time Handle Problem Language Result Execution time Memory
319931 2020-11-06T20:13:10 Z tushar_2658 Split the sequence (APIO14_sequence) C++14
100 / 100
1829 ms 82408 KB
#include "bits/stdc++.h"
using namespace std;

const int maxn = 100005;
typedef long long ll;

ll dp[maxn][2];
int n, k;
ll pref[maxn];
int best[maxn][202];
int cur, cnt;

void compute(int l, int r, int optl, int optr){
  if(l > r)return;
  int mid = (l + r) >> 1;
  ll BEST = -1;
  int opt = optl;
  for(int i = optl; i <= min(mid - 1, optr); ++i){
    ll cost = dp[i][cur ^ 1] + pref[i] * (pref[mid] - pref[i]);
    if(BEST < cost){
      BEST = cost;
      opt = i;
    }
  }
  dp[mid][cur] = BEST;
  best[mid][cnt] = opt;
  compute(l, mid - 1, optl, opt);
  compute(mid + 1, r, opt, optr);
}

int main(int argc, char const *argv[])
{
  ios::sync_with_stdio(false);
  cin.tie(0);

  cin >> n >> k;
  for(int i = 1; i <= n; ++i){
    cin >> pref[i];
    pref[i] = pref[i - 1] + pref[i];
  }
  for(int i = 1; i <= k; ++i){
    cur = i & 1;
    cnt = i;
    for(int j = 0; j <= n; ++j){
      dp[j][cur] = -1;
    }
    compute(1, n, 1, n);
  }
  cout << dp[n][k & 1] << '\n';
  cur = n;
  int cur_k = k;
  while(cur_k > 0){
    cout << best[cur][cur_k] << ' ';
    cur = best[cur][cur_k];
    --cur_k;
  }

  return 0;
}
# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB contestant found the optimal answer: 108 == 108
2 Correct 1 ms 364 KB contestant found the optimal answer: 999 == 999
3 Correct 1 ms 364 KB contestant found the optimal answer: 0 == 0
4 Correct 1 ms 364 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 1 ms 364 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 1 ms 364 KB contestant found the optimal answer: 1 == 1
7 Correct 1 ms 364 KB contestant found the optimal answer: 1 == 1
8 Correct 1 ms 364 KB contestant found the optimal answer: 1 == 1
9 Correct 1 ms 364 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 1 ms 364 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 1 ms 364 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 1 ms 396 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 1 ms 364 KB contestant found the optimal answer: 140072 == 140072
14 Correct 1 ms 492 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 1 ms 364 KB contestant found the optimal answer: 805 == 805
16 Correct 1 ms 364 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 1 ms 364 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 1 ms 492 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 1 ms 364 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 1 ms 364 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 1 ms 364 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 1 ms 364 KB contestant found the optimal answer: 933702 == 933702
7 Correct 1 ms 364 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 1 ms 364 KB contestant found the optimal answer: 687136 == 687136
9 Correct 1 ms 364 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 1 ms 364 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 1 ms 492 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 1 ms 492 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 2 ms 492 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 1 ms 492 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 2 ms 544 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 2 ms 492 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 2 ms 492 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 1 ms 492 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 1 ms 492 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 1 ms 492 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 1 ms 1260 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 1 ms 1132 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 6 ms 1132 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 1 ms 1132 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 10 ms 1132 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 9 ms 1132 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 9 ms 1132 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 6 ms 1260 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 3 ms 1132 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 4 ms 1132 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 7 ms 8556 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 6 ms 8556 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 80 ms 8556 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 7 ms 8616 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 80 ms 8676 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 81 ms 8556 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 74 ms 8556 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 55 ms 8556 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 77 ms 8676 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 97 ms 8556 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 71 ms 81892 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 71 ms 81892 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 1454 ms 82308 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 68 ms 82408 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 1829 ms 82000 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 1291 ms 82132 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 1134 ms 82404 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 929 ms 82276 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 1165 ms 82308 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 1472 ms 82148 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845