Submission #197319

# Submission time Handle Problem Language Result Execution time Memory
197319 2020-01-20T10:48:33 Z quocnguyen1012 Split the sequence (APIO14_sequence) C++14
100 / 100
1104 ms 81216 KB
#include <bits/stdc++.h>

#define fi first
#define se second
#define mp make_pair
#define pb push_back

using namespace std;
typedef long long ll;

const int maxn = 1e5 + 5;

ll f[2][maxn];
int opt[201][maxn];
int N, K;
ll a[maxn];

bool Max(ll & a, ll b)
{
  if (a <= b){
    a = b;
    return true;
  }
  return false;
}

void calc(int lev, int mid, int L, int R)
{
  f[1][mid] = -1e18;
  for (int i = L; i <= min(mid - 1, R); ++i){
    ///cerr << a[i] * (a[mid] - a[i]) << '\n';
    if (Max(f[1][mid], f[0][i] + a[i] * (a[mid] - a[i]))){
      opt[lev][mid] = i;
    }
  }
}

void solve(int lev, int l, int r, int L, int R)
{
  if (l > r) return;
  int mid = (l + r) / 2;
  calc(lev, mid, L, R);
  solve(lev, l, mid - 1, L, opt[lev][mid]);
  solve(lev, mid + 1, r, opt[lev][mid], R);
}

signed main(void)
{
  ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
  if (fopen("A.INP", "r")){
    freopen("A.INP", "r", stdin);
    freopen("A.OUT", "w", stdout);
  }
  cin >> N >> K;
  for (int i = 1; i <= N; ++i){
    cin >> a[i];
    a[i] += a[i - 1];
  }
  for (int i = 1; i <= K; ++i){
    solve(i, 1, N, 1, N);
    for (int j = 0; j <= N; ++j){
      f[0][j] = f[1][j];
    }
  }
  cout << f[1][N] << '\n';
  int n = N;
  for (int i = K; i >= 1; --i){
    cout << opt[i][n] << ' ';
    n = opt[i][n];
  }
}

Compilation message

sequence.cpp: In function 'int main()':
sequence.cpp:51:12: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)', declared with attribute warn_unused_result [-Wunused-result]
     freopen("A.INP", "r", stdin);
     ~~~~~~~^~~~~~~~~~~~~~~~~~~~~
sequence.cpp:52:12: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)', declared with attribute warn_unused_result [-Wunused-result]
     freopen("A.OUT", "w", stdout);
     ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~
# 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 276 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 380 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 376 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 380 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 2 ms 376 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 372 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 380 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 4 ms 1528 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 1144 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 4 ms 1400 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 5 ms 1528 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 3 ms 632 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 5 ms 508 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 3 ms 632 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 3 ms 376 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 2 ms 376 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 9 ms 2040 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 2 ms 376 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 11 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 11 ms 2040 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 9 ms 2168 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 4 ms 760 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 5 ms 1016 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 4 ms 760 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 4 ms 732 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 76 ms 9336 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 4 ms 760 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 62 ms 5832 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 61 ms 6648 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 76 ms 7160 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 55 ms 6008 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 60 ms 6748 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 76 ms 8440 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 27 ms 3832 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 26 ms 3832 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 789 ms 81188 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 25 ms 3832 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 1104 ms 81216 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 668 ms 57552 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 820 ms 61488 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 592 ms 50524 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 620 ms 57720 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 797 ms 73216 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845