Buggy python submission (verdict: Time Limit Exceeded):
S = input()
p = 10 ** 9 + 7
DP = [[0 for _ in range(13)] for _ in range(len(S) + 1)]
DP[0][0] = 1
M = [[0 for _ in range(13)] for _ in range(6)]
for i in range(6):
  for j in range(10):
    M[i][j] = j * 10 ** i % 13
for i, s in enumerate(S[::-1]):
  if s == '?':
    for j in range(10):
      m = M[i % 6][j]
      for k in range(13):
        DP[i + 1][(k + m) % 13] += DP[i][k]
  else:
    m = M[i % 6][int(s)]
    for k in range(13):
      DP[i + 1][(k + m) % 13] += DP[i][k]
  for k in range(13):
    DP[i + 1][k] %= p
print(DP[-1][5])

Fixed submission:
S = input()
p = 10 ** 9 + 7
DP = [[0 for _ in range(13)] for _ in range(len(S) + 1)]
DP[0][0] = 1
M = [[0 for _ in range(13)] for _ in range(6)]
for i in range(6):
  for j in range(10):
    M[i][j] = j * 10 ** i % 13
for i, s in enumerate(S[::-1]):
  if s == '?':
    for j in range(10):
      m = M[i % 6][j]
      for k in range(13):
        DP[i + 1][(k + m) % 13] += DP[i][k]
  else:
    m = M[i % 6][int(s)]
    for k in range(13):
      DP[i + 1][(k + m) % 13] += DP[i][k]
  for k in range(13):
    DP[i + 1][k] %= p
print(DP[-1][5])

Buggy python submission (verdict: Time Limit Exceeded):
S = input()
p = 10 ** 9 + 7
DP = [[0 for _ in range(13)] for _ in range(len(S) + 1)]
DP[0][0] = 1
for i, s in enumerate(S[::-1]):
  if s == '?':
    for j in range(10):
      m = j * 10 ** i % 13
      for k in range(13):
        DP[i + 1][(k + m) % 13] += DP[i][k]
  else:
    m = int(s) * 10 ** i % 13
    for k in range(13):
      DP[i + 1][(k + m) % 13] += DP[i][k]
  for k in range(13):
    DP[i + 1][k] %= p
  #print(DP[i])
#print(DP[-1])
print(DP[-1][5])

Fixed submission:
S = input()
p = 10 ** 9 + 7
DP = [[0 for _ in range(13)] for _ in range(len(S) + 1)]
DP[0][0] = 1
M = [[0 for _ in range(13)] for _ in range(6)]
for i in range(6):
  for j in range(10):
    M[i][j] = j * 10 ** i % 13
for i, s in enumerate(S[::-1]):
  if s == '?':
    for j in range(10):
      m = M[i % 6][j]
      for k in range(13):
        DP[i + 1][(k + m) % 13] += DP[i][k]
  else:
    m = M[i % 6][int(s)]
    for k in range(13):
      DP[i + 1][(k + m) % 13] += DP[i][k]
  for k in range(13):
    DP[i + 1][k] %= p
print(DP[-1][5])

Buggy python submission (verdict: Time Limit Exceeded):
S = input()
p = 10 ** 9 + 7
DP = [[0 for _ in range(13)] for _ in range(len(S) + 1)]
DP[0][0] = 1
for i, s in enumerate(S[::-1]):
  if s == '?':
    for j in range(10):
      m = j * 10 ** i % 13
      for k in range(13):
        DP[i + 1][(k + m) % 13] += DP[i][k]
  else:
    m = int(s) * 10 ** i % 13
    for k in range(13):
      DP[i + 1][(k + m) % 13] += DP[i][k]
  for k in range(13):
    DP[i + 1][k] %= p
print(DP[-1][5])

Fixed submission:
S = input()
p = 10 ** 9 + 7
DP = [[0 for _ in range(13)] for _ in range(len(S) + 1)]
DP[0][0] = 1
M = [[0 for _ in range(13)] for _ in range(6)]
for i in range(6):
  for j in range(10):
    M[i][j] = j * 10 ** i % 13
for i, s in enumerate(S[::-1]):
  if s == '?':
    for j in range(10):
      m = M[i % 6][j]
      for k in range(13):
        DP[i + 1][(k + m) % 13] += DP[i][k]
  else:
    m = M[i % 6][int(s)]
    for k in range(13):
      DP[i + 1][(k + m) % 13] += DP[i][k]
  for k in range(13):
    DP[i + 1][k] %= p
print(DP[-1][5])