Submission #107552

#TimeUsernameProblemLanguageResultExecution timeMemory
107552shoemakerjoLamps (JOI19_lamps)C++14
100 / 100
225 ms24040 KiB
#include <bits/stdc++.h>

using namespace std;

int n;
string a, b;

const int maxn = 1000010;
int dp[maxn][5];
//0 is nothing on me
//1 is a '0' on me
//2 is a '1' on me
//3 is a '0' on top of a '1'
//4 is a '1' on top of a '0'

const int cost[5][5] =
  {{0, 1, 1, 2, 2},
  {0, 0, 1, 1, 2},
  {0, 1, 0, 2, 1},
  {0, 0, 0, 0, 1},
  {0, 0, 0, 1, 0}};

bool issame(int u, int tp) {
  if (u == 0) return true;
  if (tp == 0) {
    return a[u] == b[u];
  }
  if (tp == 2 || tp == 4) {
    return b[u] == '1';
  }
  if (tp == 1 || tp == 3) {
    return b[u] == '0';
  }
  return false;
}

int main() {
  ios_base::sync_with_stdio(false);
  cin.tie(NULL);
  cin >> n;
  cin >> a >> b;
  a = " " + a;
  b = " " + b;

  for (int i = 1; i < 5; i++) {
    dp[0][i] = n;
  }

  for (int i = 1; i <= n; i++) {
    for (int j = 0; j < 5; j++) {
      dp[i][j] = n;
      for (int k = 0; k < 5; k++) {
        //get to j from k
        dp[i][j] = min(dp[i][j],
          dp[i-1][k] + cost[k][j] +
          ((!issame(i, j) && issame(i-1, k)) ? 1 : 0) );
      }
    }
    // cout << i << " : " ;
    // for (int j = 0; j < 5; j++) {
    //   cout << dp[i][j] << " ";
    // }
    // cout << endl;
  }

  // cout << "v : " << issame(1, 0) << endl;

  int res = n;
  for (int i = 0; i < 5; i++) {
    res = min(res, dp[n][i]);
  }
  cout << res << endl;
}
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