#include <bits/stdc++.h>
using namespace std;

int main() {
  ios::sync_with_stdio(false);

  vector<int> N(256); {
    for (int i = 'A'; i <= 'C'; ++i) {
      cin >> N[i];
    }
  }

  char S0, S1;
  int64_t T0, T1; {
    cin >> S0 >> T0;
    cin >> S1 >> T1;
  }

  int64_t res = (int64_t) 1 << 60; {
    if (S0 == S1) res = min(res, abs(T1 - T0));
    res = min(res, T0 + T1 - 1);
    res = min(res, (N[S0] + 1 - T0) + (N[S1] + 1 - T1) - 1);
    int c = min({ N['A'], N['B'], N['C'] }) - 1;
    res = min(res, T0 + (N[S1] + 1 - T1) + c);
    res = min(res, (N[S0] + 1 - T0) + T1 + c);
  }

  cout << res << endl;
}