Submission #241058

# Submission time Handle Problem Language Result Execution time Memory
241058 2020-06-22T12:09:25 Z Nightlight Split the sequence (APIO14_sequence) C++14
100 / 100
1333 ms 80760 KB
#include <bits/stdc++.h>
using namespace std;

int N, K;
long long pre[100001];
long long dp[2][100001];
int opt[201][100001];

long long cost(int l, int r) {
  return pre[l - 1] * (pre[r] - pre[l - 1]);
}

void dnc(int k, int l, int r, int kl, int kr) {
  if(l > r) return;
  long long best = -1e18, bestid = 0;
  int mid = (l + r) >> 1;
  int skg = k & 1;
  for(int i = kl; i <= mid && i <= kr; i++) {
    long long now = dp[!skg][i - 1] + cost(i, mid);
    if(now > best) {
      bestid = i;
      best = now;
    }
  }
  opt[k][mid] = bestid - 1;
  dp[skg][mid] = best;
  dnc(k, l, mid - 1, kl, bestid);
  dnc(k, mid + 1, r, bestid, kr);
}

int main() {
  scanf("%d %d", &N, &K);
  K++;
  for(int i = 1; i <= N; i++) {
    scanf("%lld", &pre[i]);
    pre[i] += pre[i - 1];
  }
  for(int i = 2; i <= K; i++) {
    dnc(i, i, N, i, N);
  }
  printf("%lld\n", dp[K & 1][N]);
  int now = N;
  vector<int> ans;
  for(int i = K; i > 1; i--) {
    now = opt[i][now];
    ans.push_back(now);
  }
  for(int i = ans.size() - 1; i >= 0; i--) printf("%d ", ans[i]);
  puts("");
  cin >> N;
}

Compilation message

sequence.cpp: In function 'int main()':
sequence.cpp:32:8: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
   scanf("%d %d", &N, &K);
   ~~~~~^~~~~~~~~~~~~~~~~
sequence.cpp:35:10: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
     scanf("%lld", &pre[i]);
     ~~~~~^~~~~~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 4 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 5 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 5 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 5 ms 384 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 4 ms 384 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 5 ms 384 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 5 ms 384 KB contestant found the optimal answer: 140072 == 140072
14 Correct 5 ms 384 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 5 ms 384 KB contestant found the optimal answer: 805 == 805
16 Correct 5 ms 384 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 5 ms 384 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 5 ms 384 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 4 ms 384 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 6 ms 640 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 5 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 5 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 384 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 5 ms 384 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 5 ms 384 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 5 ms 1408 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 4 ms 384 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 6 ms 1024 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 6 ms 1280 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 5 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 11 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 14 ms 2048 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 13 ms 1792 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 12 ms 2048 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 9 ms 2048 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 7 ms 640 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 640 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 7 ms 768 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 71 ms 9204 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 7 ms 640 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 75 ms 5880 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 73 ms 6776 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 69 ms 7032 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 50 ms 5880 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 70 ms 6780 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 86 ms 8440 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 32 ms 3980 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 31 ms 3832 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 750 ms 80760 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 27 ms 3832 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 1333 ms 80692 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 808 ms 57592 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 716 ms 61432 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 499 ms 50424 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 683 ms 57592 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 867 ms 73208 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845