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 PyPy3 (2.4.0) (judge verdict: Time Limit Exceeded)

def main():
  a = input()
  b = input()
  c = input()
  ab = [False]*17000
  ac = [False]*17000
  bc = [False]*17000
  def match(c1,c2):
    return (c1=='?')or(c2=='?')or(c1==c2)

  A = len(a)
  B = len(b)
  C = len(c)
  def solve(d1,d2,n,m,l):
    for i in range(n):
      for j in range(m):
        if not(match(d1[i],d2[j])):
          l[i-j+8500]=True
          continue
    return l
  ab = solve(a,b,A,B,ab)
  ac = solve(a,c,A,C,ac)
  bc = solve(b,c,B,C,bc)
  ans = 6000
  for i in range(-4000,4001,1):
    for j in range(-4000,4001,1):
      if (not(ab[i+8500]))and(not(ac[j+8500]))and(not(bc[j-i+8500])):
        L = min(0,min(i,j))
        R = max(A,max(B+i,C+j))
        ans = min(ans,R-L)
  print(ans)
  
  
main()