Buggy python submission (verdict: Time Limit Exceeded):
N = input()[::-1]
iv = 1
MOD = 10**9+7
dp = [0]*13
dp[0]=1
ls = [0]*13
for i in range(len(N)):
  x = N[i]
  
  if x=='?':
    for j in range(13):
      for h in range(10):
        ls[(h*iv+j)%13] += dp[j]
        
  else:
    x = int(x)
    for j in range(13):
      ls[(j+x*iv)%13]+=dp[j]
      
  for j in range(13):
    dp[j] = (ls[j]%MOD)
    ls[j]=0
  iv *= 10
  iv %= 13
print(dp[5])

Fixed submission:
S = input()
con = 10**9 + 7

T = [s if s != "?" else "0" for s in S]
T = int(''.join(T))
SS = T % 13

def get_mod(S):
    c = {}
    iii = 1
    for i in range(len(S)):
        if S[len(S) - i - 1] != "?":
            iii *= 10
            iii %= 13
            continue
        c[i] = {(j * iii) % 13: 1 for j in range(0, 10)}
        iii *= 10
        iii %= 13
    return c
c = get_mod(S)

def get_tdp(pdp):
    tdp = {i: 0 for i in range(13)}
    for r in v.keys():
        for _r, _v in pdp.items():
            i = (_r + r) % 13
            tdp[i] += _v
    for i in range(13):
        tdp[i] %= con
    return tdp

pdp = {i: 0 for i in range(13)}
pdp[SS] += 1
for k, v in c.items():
    pdp = get_tdp(pdp)

ans = pdp[5]
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
N = input()[::-1]
iv = 1
MOD = 10**9+7
pdp = [0 for i in range(13)]
pdp[0]=1
dp = [0 for i in range(13)]
for i in range(len(N)):
  x = N[i]
  if x=='?':
    for j in range(13):
      for h in range(10):
        dp[(h*iv+j)%13] += pdp[j]
    for j in range(13):
      pdp[j] = (dp[j]%MOD)
      dp[j] = 0
  else:
    x = int(x)
    for j in range(13):
      dp[(j+x*iv)%13]+=pdp[j]
    for j in range(13):
      pdp[j] = (dp[j]%MOD)
      dp[j]=0
  iv *= 10
  iv %= 13
print(pdp[5])

Fixed submission:
S = input()
con = 10**9 + 7

T = [s if s != "?" else "0" for s in S]
T = int(''.join(T))
SS = T % 13

def get_mod(S):
    c = {}
    iii = 1
    for i in range(len(S)):
        if S[len(S) - i - 1] != "?":
            iii *= 10
            iii %= 13
            continue
        c[i] = {(j * iii) % 13: 1 for j in range(0, 10)}
        iii *= 10
        iii %= 13
    return c
c = get_mod(S)

def get_tdp(pdp):
    tdp = {i: 0 for i in range(13)}
    for r in v.keys():
        for _r, _v in pdp.items():
            i = (_r + r) % 13
            tdp[i] += _v
    for i in range(13):
        tdp[i] %= con
    return tdp

pdp = {i: 0 for i in range(13)}
pdp[SS] += 1
for k, v in c.items():
    pdp = get_tdp(pdp)

ans = pdp[5]
print(ans)

Buggy python submission (verdict: Runtime Error):
s = input()
n = len(s)

dp = [[0 for i in range(n)] for j in range(13)]


if s[0] == '?':
    for i in range(10):
        dp[i][0] = 1

else:
    dp[s][0] = 1


mod_change_table = [(i * 10)%13 for i in range(13)]


for x in range(1, len(s)):
    for y in range(13):
        if s[x] == '?':
            for j in range(10):
                dp[(mod_change_table[y]+j)%13][x] += dp[y][x-1]
        else:
            dp[(mod_change_table[y]+int(s[x]))%13][x] += dp[y][x-1]


print(dp[5][n-1])

Fixed submission:
S = input()
con = 10**9 + 7

T = [s if s != "?" else "0" for s in S]
T = int(''.join(T))
SS = T % 13

def get_mod(S):
    c = {}
    iii = 1
    for i in range(len(S)):
        if S[len(S) - i - 1] != "?":
            iii *= 10
            iii %= 13
            continue
        c[i] = {(j * iii) % 13: 1 for j in range(0, 10)}
        iii *= 10
        iii %= 13
    return c
c = get_mod(S)

def get_tdp(pdp):
    tdp = {i: 0 for i in range(13)}
    for r in v.keys():
        for _r, _v in pdp.items():
            i = (_r + r) % 13
            tdp[i] += _v
    for i in range(13):
        tdp[i] %= con
    return tdp

pdp = {i: 0 for i in range(13)}
pdp[SS] += 1
for k, v in c.items():
    pdp = get_tdp(pdp)

ans = pdp[5]
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
S = input()[::-1]

dp = [[1]+[0]*12]
MOD = 10**9+7

for i in range(1,len(S)+1):
  s = S[i-1]
  dp += [[0]*13]
  if s=='?':
    for j in range(13):
      for h in range(10):
        x = h*(10**(i-1))%13
        dp[i][(j+x)%13] += dp[i-1][j]
    for j in range(13):
      dp[i][j] = dp[i][j]%MOD
  else:
    c = int(s)
    x = c*(10**(i-1))%13
    for j in range(13):
      dp[i][(j+x)%13] = dp[i-1][j]
    for j in range(13):
      dp[i][j] = dp[i][j]%MOD
print(dp[-1][5])

Fixed submission:
S = input()
con = 10**9 + 7

T = [s if s != "?" else "0" for s in S]
T = int(''.join(T))
SS = T % 13

def get_mod(S):
    c = {}
    iii = 1
    for i in range(len(S)):
        if S[len(S) - i - 1] != "?":
            iii *= 10
            iii %= 13
            continue
        c[i] = {(j * iii) % 13: 1 for j in range(0, 10)}
        iii *= 10
        iii %= 13
    return c
c = get_mod(S)

def get_tdp(pdp):
    tdp = {i: 0 for i in range(13)}
    for r in v.keys():
        for _r, _v in pdp.items():
            i = (_r + r) % 13
            tdp[i] += _v
    for i in range(13):
        tdp[i] %= con
    return tdp

pdp = {i: 0 for i in range(13)}
pdp[SS] += 1
for k, v in c.items():
    pdp = get_tdp(pdp)

ans = pdp[5]
print(ans)

Buggy python submission (verdict: Runtime Error):
S = input()[::-1]

dp = [[1]]
MOD = 10**9+7

for i in range(1,len(S)+1):
  s = S[i-1]
  dp += [[0]*13]
  if s=='?':
    for j in range(13):
      for h in range(10):
        x = h*(10**(i-1))%13
        dp[i][(j+x)%13] += dp[i-1][j]
    for j in range(13):
      dp[i][j] = dp[i][j]%MOD
  else:
    c = int(s)
    x = c*(10**(i-1))%13
    for j in range(13):
      dp[i][(j+x)%13] = dp[i-1][j]
    for j in range(13):
      dp[i][j] = dp[i][j]%13
print(dp[-1][5])

Fixed submission:
S = input()
con = 10**9 + 7

T = [s if s != "?" else "0" for s in S]
T = int(''.join(T))
SS = T % 13

def get_mod(S):
    c = {}
    iii = 1
    for i in range(len(S)):
        if S[len(S) - i - 1] != "?":
            iii *= 10
            iii %= 13
            continue
        c[i] = {(j * iii) % 13: 1 for j in range(0, 10)}
        iii *= 10
        iii %= 13
    return c
c = get_mod(S)

def get_tdp(pdp):
    tdp = {i: 0 for i in range(13)}
    for r in v.keys():
        for _r, _v in pdp.items():
            i = (_r + r) % 13
            tdp[i] += _v
    for i in range(13):
        tdp[i] %= con
    return tdp

pdp = {i: 0 for i in range(13)}
pdp[SS] += 1
for k, v in c.items():
    pdp = get_tdp(pdp)

ans = pdp[5]
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
S = input()[::-1]

dp = [[0]*13]
MOD = 10**9+7

for i in range(1,len(S)+1):
  s = S[i-1]
  dp += [[0]*13]
  if s=='?':
    if i==1:
      for j in range(10):
        dp[i][j] = 1
    else:
      for j in range(13):
        for h in range(10):
          x = h*(10**(i-1))%13
          dp[i][j] += dp[i-1][(j-x)%13]
        dp[i][j] = dp[i][j]%MOD
  else:
    c = int(s)
    x = c*(10**(i-1))%13
    if i==1:
      dp[i][c]=1
    else:
      for j in range(13):
        dp[i][j] = dp[i-1][(j-x)%13]
print(dp[-1][5])

Fixed submission:
S = input()
con = 10**9 + 7

T = [s if s != "?" else "0" for s in S]
T = int(''.join(T))
SS = T % 13

def get_mod(S):
    c = {}
    iii = 1
    for i in range(len(S)):
        if S[len(S) - i - 1] != "?":
            iii *= 10
            iii %= 13
            continue
        c[i] = {(j * iii) % 13: 1 for j in range(0, 10)}
        iii *= 10
        iii %= 13
    return c
c = get_mod(S)

def get_tdp(pdp):
    tdp = {i: 0 for i in range(13)}
    for r in v.keys():
        for _r, _v in pdp.items():
            i = (_r + r) % 13
            tdp[i] += _v
    for i in range(13):
        tdp[i] %= con
    return tdp

pdp = {i: 0 for i in range(13)}
pdp[SS] += 1
for k, v in c.items():
    pdp = get_tdp(pdp)

ans = pdp[5]
print(ans)