Submission #220249

# Submission time Handle Problem Language Result Execution time Memory
220249 2020-04-07T12:35:17 Z Nightlight Split the sequence (APIO14_sequence) C++14
100 / 100
1285 ms 81408 KB
#include <bits/stdc++.h>
using namespace std;

int N, M;
int A[100005];
long long pre[100005];
int opt[205][100005];
long long dp[2][100005];
int ans[105];

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

void dnc(int K, int l, int r, int kl, int kr) {
  if(l > r) return;
  int mid = (l + r) >> 1;
  long long best = -1e18, tmp;
  int id = 0;
  for(int i = min(mid, kr); i >= kl; i--) {
    tmp = dp[!(K & 1)][i - 1] + cost(i, mid);
    if(tmp > best) {
      best = tmp, id = i;
    }
  }
  dp[K & 1][mid] = best;
  opt[K][mid] = id;
  
  dnc(K, l, mid - 1, kl, id);
  dnc(K, mid + 1, r, id, kr);
}

void backtrack(int K, int now) {
  ans[K] = now;
  if(K == 0) return;
  backtrack(K - 1, opt[K][now] - 1);
}

int main() {
//  freopen("inp", "r", stdin);
  scanf("%d %d", &N, &M);
  for(int i = 1; i <= N; i++) {
    scanf("%d", &A[i]);
    pre[i] = A[i] + pre[i - 1];
  }
  for(int k = 1; k <= M; k++) {
    dnc(k, k + 1, N, k + 1, N);
  }
  long long best = 0, id = 0;
  backtrack(M, N);
  printf("%lld\n", dp[M & 1][N]);
  for(int i = 0; i < M; i++) {
    printf("%d ", ans[i]);
  }
}

Compilation message

sequence.cpp: In function 'int main()':
sequence.cpp:49:13: warning: unused variable 'best' [-Wunused-variable]
   long long best = 0, id = 0;
             ^~~~
sequence.cpp:49:23: warning: unused variable 'id' [-Wunused-variable]
   long long best = 0, id = 0;
                       ^~
sequence.cpp:41:8: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
   scanf("%d %d", &N, &M);
   ~~~~~^~~~~~~~~~~~~~~~~
sequence.cpp:43:10: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
     scanf("%d", &A[i]);
     ~~~~~^~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 5 ms 384 KB contestant found the optimal answer: 108 == 108
2 Correct 5 ms 384 KB contestant found the optimal answer: 999 == 999
3 Correct 5 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 4 ms 384 KB contestant found the optimal answer: 1 == 1
7 Correct 5 ms 384 KB contestant found the optimal answer: 1 == 1
8 Correct 5 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 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 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 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 5 ms 512 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 4 ms 384 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 5 ms 384 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 5 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 5 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 5 ms 384 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 5 ms 1024 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 5 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 512 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 5 ms 488 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 2048 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 11 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 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 7 ms 896 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 67 ms 9336 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 7 ms 768 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 73 ms 5880 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 70 ms 6648 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 66 ms 7160 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 48 ms 5880 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 67 ms 6648 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 83 ms 8440 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 40 ms 4220 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 38 ms 4220 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 672 ms 81400 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 30 ms 4216 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 1285 ms 81408 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 789 ms 57852 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 675 ms 61876 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 490 ms 51064 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 649 ms 57848 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 837 ms 73592 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845