Submission #96695

# Submission time Handle Problem Language Result Execution time Memory
96695 2019-02-11T04:06:32 Z fjchf02 Split the sequence (APIO14_sequence) C++
100 / 100
1299 ms 81788 KB
#include <bits/stdc++.h>

using namespace std;

const int N = 100010;
const long long inf = 4e18;

int n, m;
long long pref[N];
long long dp[N], new_dp[N];
int g[233][N];

void solve(int ph, int L, int R, int x, int y) {
  if (L > R) {
    return;
  }
  long long mx = -inf;
  int bid = -1;
  int cur = (L + R) >> 1;
  for (int i = x; i <= min(y, cur - 1); i++) {
    if (dp[i] == -inf) {
      continue;
    }
    long long c = dp[i] + (pref[cur] - pref[i]) * pref[i];
    if (c > mx) {
      mx = c;
      bid = i;
    }
  }
  new_dp[cur] = mx;
  g[ph][cur] = bid;
  solve(ph, L, cur - 1, x, bid);
  solve(ph, cur + 1, R, max(x, bid), y);
}

void print(int x, int y) {
  if (x == 0) {
    assert(y == 0);
    return;
  }
  print(x - 1, g[x][y]);
  if (x != m + 1) {
    printf("%d ", y);
  }
}

int main() {
  scanf("%d %d", &n, &m);
  for (int i = 0; i < n; i++) {
    int x;
    scanf("%d", &x);
    pref[i + 1] = pref[i] + x;
  }
  fill(dp + 1, dp + n + 1, -inf);
  for (int i = 0; i < m + 1; i++) {
    solve(i + 1, 0, n, 0, n);
    copy(new_dp, new_dp + n + 1, dp);
  }
  printf("%lld\n", dp[n]);
  print(m + 1, n);
  printf("\n");
  return 0;
}

Compilation message

sequence.cpp: In function 'int main()':
sequence.cpp:48:8: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
   scanf("%d %d", &n, &m);
   ~~~~~^~~~~~~~~~~~~~~~~
sequence.cpp:51:10: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
     scanf("%d", &x);
     ~~~~~^~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB contestant found the optimal answer: 108 == 108
2 Correct 2 ms 376 KB contestant found the optimal answer: 999 == 999
3 Correct 2 ms 380 KB contestant found the optimal answer: 0 == 0
4 Correct 2 ms 376 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 2 ms 376 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 2 ms 376 KB contestant found the optimal answer: 1 == 1
7 Correct 2 ms 376 KB contestant found the optimal answer: 1 == 1
8 Correct 2 ms 376 KB contestant found the optimal answer: 1 == 1
9 Correct 2 ms 376 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 2 ms 376 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 2 ms 376 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 2 ms 376 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 2 ms 376 KB contestant found the optimal answer: 140072 == 140072
14 Correct 2 ms 380 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 2 ms 376 KB contestant found the optimal answer: 805 == 805
16 Correct 2 ms 376 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 2 ms 348 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 2 ms 376 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 2 ms 632 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 2 ms 376 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 2 ms 380 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 2 ms 376 KB contestant found the optimal answer: 933702 == 933702
7 Correct 2 ms 504 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 2 ms 376 KB contestant found the optimal answer: 687136 == 687136
9 Correct 2 ms 376 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 2 ms 376 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 2 ms 376 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 3 ms 1400 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 2 ms 376 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 4 ms 1016 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 3 ms 1272 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 3 ms 1400 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 2 ms 632 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 2 ms 504 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 2 ms 632 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 2 ms 380 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 8 ms 2168 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 2 ms 376 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 10 ms 2168 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 9 ms 1912 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 10 ms 2168 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 8 ms 2168 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 3 ms 760 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 6 ms 1016 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 5 ms 760 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 4 ms 760 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 60 ms 9336 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 5 ms 760 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 70 ms 5896 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 70 ms 6648 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 61 ms 7160 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 44 ms 5880 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 63 ms 6824 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 82 ms 8492 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 31 ms 4416 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 35 ms 4364 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 640 ms 81788 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 32 ms 4728 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 1299 ms 81656 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 787 ms 58104 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 668 ms 62328 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 493 ms 51184 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 647 ms 58284 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 828 ms 73848 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845