oj.uz

Submission #986804

# Submission time Handle Problem Language Result Execution time Memory
986804 2024-05-21T08:57:51 Z cig32 Lamps (JOI19_lamps) C++17
0 / 100
 1000 ms 48512 KB 
#include "bits/stdc++.h"
#define int long long
using namespace std;
mt19937_64 rng((int) std::chrono::steady_clock::now().time_since_epoch().count());
int rnd(int x, int y) {
  return uniform_int_distribution<int>(x, y)(rng);
}
const int MAXN = 2e3 + 10;
string a, b;
int n;
int ps[MAXN];
int dp[MAXN][MAXN][2];
int cnt0(int l, int r) {
  int nums = ps[r] - ps[l];
  int zero, one;
  if(nums % 2 == 1) {
    zero = one = (nums + 1) / 2;
  }
  else {
    zero = nums / 2 + 1, one = nums / 2;
    if(b[l] == '1') swap(zero, one);
  }
  return zero;
}
int cnt1(int l, int r) {
  int nums = ps[r] - ps[l];
  int zero, one;
  if(nums % 2 == 1) {
    zero = one = (nums + 1) / 2;
  }
  else {
    zero = nums / 2 + 1, one = nums / 2;
    if(b[l] == '1') swap(zero, one);
  }
  return one;
}
int mincnt(int l, int r) {
  return min(cnt0(l, r), cnt1(l, r));
}
int dpf(int l, int r, int tog) {
  while(l <= r && (a[l] ^ tog) == b[l]) l++;
  while(l <= r && (a[r] ^ tog) == b[r]) r--;
  if(l > r) return 0;
  if(dp[l][r][tog] != -1) return dp[l][r][tog];
  
  //cout << l << " " << r << " " << cnt0 << " " << cnt1 << "\n";
  // set, then bruhopen
  int ans = 1 + mincnt(l, r);
  ans = min(ans, 1 + dpf(l, r, tog ^ 1));
  for(int i=l; i<r; i++) {
    ans = min(ans, 1 + mincnt(l, i) + dpf(i + 1, r, tog));
  }
  for(int i=l+1; i<=r; i++) {
    ans = min(ans, 1 + mincnt(i, r) + dpf(l, i - 1, tog));
  }
  return ans;
}
void solve(int tc) {
  cin >> n;
  for(int i=1; i<=n; i++) {
    for(int j=i; j<=n; j++) {
      for(int k=0; k<2; k++) {
        dp[i][j][k] = -1;
      }
    }
  }
  cin >> a >> b;
  a = " " + a;
  b = " " + b;
  for(int i=2; i<=n; i++) ps[i] = ps[i-1] + (b[i] != b[i-1]);
  cout << dpf(1, n, 0) << '\n';
}
int32_t main() {
  ios::sync_with_stdio(0);
  cin.tie(0);
  int t = 1;
  // cin >> t;
  for(int i=1; i<=t; i++) solve(i);
}
/*
g++ T2421.cpp -std=c++17 -O2 -o T2421
./T2421 < input.txt
*/

Subtask #1
0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 15 ms 2392 KB Output is correct
9 Correct 15 ms 2396 KB Output is correct
10 Correct 3 ms 2396 KB Output is correct
11 Correct 3 ms 2540 KB Output is correct
12 Correct 33 ms 2648 KB Output is correct
13 Correct 12 ms 2396 KB Output is correct
14 Correct 15 ms 2536 KB Output is correct
15 Correct 2 ms 2392 KB Output is correct
16 Correct 6 ms 2396 KB Output is correct
17 Correct 1 ms 2396 KB Output is correct
18 Correct 1 ms 2396 KB Output is correct
19 Correct 1 ms 2396 KB Output is correct
20 Correct 2 ms 2392 KB Output is correct
21 Correct 1 ms 2392 KB Output is correct
22 Correct 1 ms 2396 KB Output is correct
23 Correct 1 ms 2396 KB Output is correct
24 Correct 1 ms 2396 KB Output is correct
25 Correct 2 ms 2516 KB Output is correct
26 Incorrect 80 ms 2520 KB Output isn't correct
27 Halted 0 ms 0 KB -

Subtask #2
0 / 41.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 15 ms 2392 KB Output is correct
9 Correct 15 ms 2396 KB Output is correct
10 Correct 3 ms 2396 KB Output is correct
11 Correct 3 ms 2540 KB Output is correct
12 Correct 33 ms 2648 KB Output is correct
13 Correct 12 ms 2396 KB Output is correct
14 Correct 15 ms 2536 KB Output is correct
15 Correct 2 ms 2392 KB Output is correct
16 Correct 6 ms 2396 KB Output is correct
17 Correct 1 ms 2396 KB Output is correct
18 Correct 1 ms 2396 KB Output is correct
19 Correct 1 ms 2396 KB Output is correct
20 Correct 2 ms 2392 KB Output is correct
21 Correct 1 ms 2392 KB Output is correct
22 Correct 1 ms 2396 KB Output is correct
23 Correct 1 ms 2396 KB Output is correct
24 Correct 1 ms 2396 KB Output is correct
25 Correct 2 ms 2516 KB Output is correct
26 Incorrect 80 ms 2520 KB Output isn't correct
27 Halted 0 ms 0 KB -

Subtask #3
0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Execution timed out 1036 ms 48512 KB Time limit exceeded
8 Halted 0 ms 0 KB -

Subtask #4
0 / 49.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 15 ms 2392 KB Output is correct
9 Correct 15 ms 2396 KB Output is correct
10 Correct 3 ms 2396 KB Output is correct
11 Correct 3 ms 2540 KB Output is correct
12 Correct 33 ms 2648 KB Output is correct
13 Correct 12 ms 2396 KB Output is correct
14 Correct 15 ms 2536 KB Output is correct
15 Correct 2 ms 2392 KB Output is correct
16 Correct 6 ms 2396 KB Output is correct
17 Correct 1 ms 2396 KB Output is correct
18 Correct 1 ms 2396 KB Output is correct
19 Correct 1 ms 2396 KB Output is correct
20 Correct 2 ms 2392 KB Output is correct
21 Correct 1 ms 2392 KB Output is correct
22 Correct 1 ms 2396 KB Output is correct
23 Correct 1 ms 2396 KB Output is correct
24 Correct 1 ms 2396 KB Output is correct
25 Correct 2 ms 2516 KB Output is correct
26 Incorrect 80 ms 2520 KB Output isn't correct
27 Halted 0 ms 0 KB -