#include <bits/stdc++.h>
using namespace std;
int main() {
  string A, B;
  int ma = 0;
  cin >> A >> B;
  for (char &ch : A) ma = max(ma, ch - '0');
  for (char &ch : B) ma = max(ma, ch - '0');
  ma++;
  int a = 0, b = 0;
  for (char &ch : A) {
    a = a * ma + ch - '0';
  }
  for (char &ch : B) {
    b = b * ma + ch - '0';
  }
  a += b;
  int ans = 0;
  while (a) ans++, a /= ma;
  cout << ans << '\n';
  return 0;
}
