Submission #403015

# Submission time Handle Problem Language Result Execution time Memory
403015 2021-05-12T16:24:32 Z radaiosm7 Split the sequence (APIO14_sequence) C++
100 / 100
1504 ms 81404 KB
#include <bits/stdc++.h>
using namespace std;
int n, k, i, par;
long long pref[100005];
long long dp[2][100005];
int spl[210][100005];

void compute(int l, int r, int optl, int optr) {
  if (l>r) return;
  int mid = (l+r)/2;
  pair<long long, int> ans = make_pair(-1LL, -1);

  for (int j=optl; j <= optr && j < mid; ++j) {
    ans = max(ans, make_pair(dp[!(i&1)][j]+(pref[j]*(pref[mid]-pref[j])), j));
  }

  dp[i&1][mid] = ans.first;
  spl[i][mid] = ans.second;
  compute(l, mid-1, optl, ans.second);
  compute(mid+1, r, ans.second, optr);
}

int main() {
  scanf("%d%d", &n, &k);
  pref[0] = 0LL;
  fill(dp[0], dp[0]+n+5, 0LL);
  fill(dp[1], dp[1]+n+5, 0LL);

  for (i=1; i <= n; ++i) {
    scanf("%lld", &pref[i]);
    pref[i] += pref[i-1];
  }

  for (i=1; i <= k; ++i) {
    compute(1, n, 1, n);
  }

  printf("%lld\n", dp[k&1][n]);
  par = n;
  for (i=k; i > 0; --i) {
    par = spl[i][par];
    printf("%d%c", par, (i==1)?('\n'):(' '));
  }
  return 0;
}

Compilation message

sequence.cpp: In function 'int main()':
sequence.cpp:24:8: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
   24 |   scanf("%d%d", &n, &k);
      |   ~~~~~^~~~~~~~~~~~~~~~
sequence.cpp:30:10: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
   30 |     scanf("%lld", &pref[i]);
      |     ~~~~~^~~~~~~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB contestant found the optimal answer: 108 == 108
2 Correct 1 ms 332 KB contestant found the optimal answer: 999 == 999
3 Correct 1 ms 332 KB contestant found the optimal answer: 0 == 0
4 Correct 1 ms 332 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 1 ms 332 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 1 ms 332 KB contestant found the optimal answer: 1 == 1
7 Correct 1 ms 332 KB contestant found the optimal answer: 1 == 1
8 Correct 1 ms 332 KB contestant found the optimal answer: 1 == 1
9 Correct 1 ms 332 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 1 ms 332 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 1 ms 332 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 1 ms 296 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 1 ms 332 KB contestant found the optimal answer: 140072 == 140072
14 Correct 1 ms 332 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 1 ms 332 KB contestant found the optimal answer: 805 == 805
16 Correct 1 ms 332 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 1 ms 332 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 1 ms 332 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 1 ms 460 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 1 ms 296 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 1 ms 332 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 1 ms 332 KB contestant found the optimal answer: 933702 == 933702
7 Correct 1 ms 460 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 332 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 1 ms 332 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 1 ms 300 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 2 ms 1356 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 1 ms 332 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 3 ms 1068 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 2 ms 1228 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 2 ms 1324 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 1 ms 588 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 1 ms 460 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 2 ms 588 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 1 ms 332 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 8 ms 1996 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 1 ms 332 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 11 ms 1996 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 9 ms 1796 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 8 ms 1996 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 7 ms 1984 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 3 ms 588 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 5 ms 972 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 4 ms 588 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 3 ms 588 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 70 ms 9288 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 3 ms 716 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 80 ms 5748 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 76 ms 6640 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 75 ms 7052 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 52 ms 5816 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 69 ms 6652 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 88 ms 8440 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 31 ms 3760 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 37 ms 3968 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 833 ms 81404 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 32 ms 4292 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 1504 ms 81144 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 923 ms 57592 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 808 ms 61748 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 570 ms 50676 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 769 ms 57744 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 955 ms 73428 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845