Problem:
Score : 500 points

Problem Statement

Snuke has a string s.
From this string, Anuke, Bnuke, and Cnuke obtained strings a, b, and c, respectively, as follows:

Choose a non-empty (contiguous) substring of s (possibly s itself). Then, replace some characters (possibly all or none) in it with ?s.

For example, if s is mississippi, we can choose the substring ssissip and replace its 1-st and 3-rd characters with ? to obtain ?s?ssip.

You are given the strings a, b, and c.
Find the minimum possible length of s.

Constraints

1 \leq |a|, |b|, |c| \leq 2000

a, b, and c consists of lowercase English letters and ?s.

Input

Input is given from Standard Input in the following format:

a
b
c

Output

Print the minimum possible length of s.

Sample Input 1

a?c
der
cod

Sample Output 1

7

For example, s could be atcoder.

Sample Input 2

atcoder
atcoder
???????

Sample Output 2

7

a, b, and c may not be distinct.

Solution in C++14 (GCC 5.4.1) (judge verdict: Wrong Answer)

#include <algorithm>
#include <climits>
#include <cmath>
#include <deque>
#include <iostream>
#include <map>
#include <set>
#include <string>
#include <vector>

// author:Swastik Banerjee

using namespace std;

typedef long long ll;
#define MOD 1000000007

int main() {
  ios_base::sync_with_stdio(false);
  cin.tie(0);


  string a, b, c;
  cin >> a;
  cin >> b;
  cin >> c;

  set<char> s;

  for (char x : a) s.insert(x);

  for (char x : b) s.insert(x);

  for (char x : c) s.insert(x);

  vector<char> v;

  for (char x : s) v.push_back(x);

  if (v[0] != '?')
    cout << s.size();
  else
    cout << s.size() - 1;
}