Buggy python submission (verdict: Time Limit Exceeded):
S = input()
N = 10**9 + 7
d = {str(i):[int(i == k) for k in range(10)] for i in range(10) }
d["?"] = [1] * 10 
l = d[S[0]] + [0]*3
#print(l)
for i in range(1, len(S)):
  if S[i] == "?":
    l = [(sum([l[((k - j) * 4)%13] for j in range(10)]))%N for k in range(13)]
  else:
    l = [l[((k - int(S[i])) * 4)%13] for k in range(13)]
  #print(l)
print(l[5])         

Fixed submission:
S = input()
N = 10**9 + 7
d = {str(i):[int(i == k) for k in range(10)] for i in range(10) }
d["?"] = [1] * 10 
l = d[S[0]] + [0]*3
#print(l)
for i in range(1, len(S)):
  if S[i] == "?":
    l = [(sum([l[((k - j) * 4)%13] for j in range(10)]))%N for k in range(13)]
  else:
    l = [l[((k - int(S[i])) * 4)%13] for k in range(13)]
  #print(l)
print(l[5])

Buggy python submission (verdict: Time Limit Exceeded):
S = input()
N = 10**9 + 7
d = {str(i):[int(i == k) for k in range(10)] for i in range(10) }
d["?"] = [1] * 10 
l = d[S[-1]] + [0]*3

for i, s in enumerate(S[-2::-1]):
  if s == "?":
    l = [(sum([l[(k-j*10**(i+1))%13] for j in range(10)]))%N for k in range(13)]
  else:
    l = [l[(k-int(s)*10**(i+1))%13] for k in range(13)]
  #print(l)
print(l[5])         

Fixed submission:
S = input()
N = 10**9 + 7
d = {str(i):[int(i == k) for k in range(10)] for i in range(10) }
d["?"] = [1] * 10 
l = d[S[0]] + [0]*3
#print(l)
for i in range(1, len(S)):
  if S[i] == "?":
    l = [(sum([l[((k - j) * 4)%13] for j in range(10)]))%N for k in range(13)]
  else:
    l = [l[((k - int(S[i])) * 4)%13] for k in range(13)]
  #print(l)
print(l[5])

Buggy python submission (verdict: Time Limit Exceeded):
S = input()
N = 10**9 + 7
d = {str(i):[int(i == k) for k in range(10)] for i in range(10) }
d["?"] = [1] * 10 
l = d[S[-1]] + [0]*3

for i, s in enumerate(S[-2::-1]):
  if s == "?":
    l = [(sum([l[(k-j*10**(i+1))%13] for j in range(10)]))%N for k in range(13)]
  else:
    l = [l[(k-int(s)*10**(i+1))%13] for k in range(13)]
  #print(l)
print(l[5])         

Fixed submission:
S = input()
N = 10**9 + 7
d = {str(i):[int(i == k) for k in range(10)] for i in range(10) }
d["?"] = [1] * 10 
l = d[S[0]] + [0]*3
#print(l)
for i in range(1, len(S)):
  if S[i] == "?":
    l = [(sum([l[((k - j) * 4)%13] for j in range(10)]))%N for k in range(13)]
  else:
    l = [l[((k - int(S[i])) * 4)%13] for k in range(13)]
  #print(l)
print(l[5])

Buggy python submission (verdict: Time Limit Exceeded):
S = input()
N = 10**9 + 7
d = {str(i):[int(i == k) for k in range(10)]  for i in range(10) }
d["?"] = [1] * 10 
l = d[S[-1]] + [0]*3

for i, s in enumerate(S[-2::-1]):
  if s == "?":
    l = [(sum([l[(k-j*10**(i+1))%13] * d[s][j] for j in range(10)])) for k in range(13)]
    l = [j%N for j in l]
  else:
    l = [l[(k-int(s)*10**(i+1))%13] for k in range(13)]
  #print(l)
print(l[5])         

Fixed submission:
S = input()
N = 10**9 + 7
d = {str(i):[int(i == k) for k in range(10)] for i in range(10) }
d["?"] = [1] * 10 
l = d[S[0]] + [0]*3
#print(l)
for i in range(1, len(S)):
  if S[i] == "?":
    l = [(sum([l[((k - j) * 4)%13] for j in range(10)]))%N for k in range(13)]
  else:
    l = [l[((k - int(S[i])) * 4)%13] for k in range(13)]
  #print(l)
print(l[5])

Buggy python submission (verdict: Time Limit Exceeded):
S = input()
N = 10**9 + 7
d = {str(i):[int(i == k) for k in range(10)] + [0]*3 for i in range(10) }
d["?"] = [1] * 10 + [0]*3
l = d[S[-1]] + [0]*3

for i, s in enumerate(S[-2::-1]):
  l = [(sum([l[(k-j*10**(i+1))%13] * d[s][j] for j in range(13)]))%N for k in range(13)]
  #print(l)
print(l[5])         

Fixed submission:
S = input()
N = 10**9 + 7
d = {str(i):[int(i == k) for k in range(10)] for i in range(10) }
d["?"] = [1] * 10 
l = d[S[0]] + [0]*3
#print(l)
for i in range(1, len(S)):
  if S[i] == "?":
    l = [(sum([l[((k - j) * 4)%13] for j in range(10)]))%N for k in range(13)]
  else:
    l = [l[((k - int(S[i])) * 4)%13] for k in range(13)]
  #print(l)
print(l[5])

Buggy python submission (verdict: Time Limit Exceeded):
S = input()
N = 10**9 + 7
d = {str(i):[int(i == k) for k in range(10)] + [0]*3 for i in range(10) }
d["?"] = [1] * 10 + [0]*3
l = d[S[-1]] + [0]*3

for i, s in enumerate(S[-2::-1]):
  l = [(sum([l[(k-j*10**(i+1))%13] * d[s][j] for j in range(13)]))%N for k in range(13)]
  #print(l)
print(l[5])         

Fixed submission:
S = input()
N = 10**9 + 7
d = {str(i):[int(i == k) for k in range(10)] for i in range(10) }
d["?"] = [1] * 10 
l = d[S[0]] + [0]*3
#print(l)
for i in range(1, len(S)):
  if S[i] == "?":
    l = [(sum([l[((k - j) * 4)%13] for j in range(10)]))%N for k in range(13)]
  else:
    l = [l[((k - int(S[i])) * 4)%13] for k in range(13)]
  #print(l)
print(l[5])