Submission #986805

#	Time	Username	Problem	Language	Result	Execution time	Memory
986805		cig32	Lamps (JOI19_lamps)	C++17	0 / 100	1053 ms	48480 KiB

lamp

#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, dpf(l, i, tog) + dpf(i + 1, r, 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
• Subtask 2: 0 / 41
• Subtask 3: 0 / 4
• Subtask 4: 0 / 49