Buggy python submission (verdict: Time Limit Exceeded):
s=input()[::-1]
l=len(s)
dp=[[0 for j in range(13)] for i in range(l)]
if s[0] == "?":
    for j in range(10):dp[0][j]=1
else:
    dp[0][int(s[0])]=1
for i in range(1,l):
    mod = pow(10,i,13)
    if s[i] == "?":
        for j in range(10):
            for k in range(13):dp[i][(k+j*mod)%13] += dp[i-1][k]
    else:
        for k in range(13):dp[i][(k+int(s[i])*mod)%13] += dp[i-1][k]
print(dp[-1][5]%(10**9+7))

Fixed submission:
s=input()[::-1]
l=len(s)
dp=[[0 for j in range(13)] for i in range(l)]
if s[0] == "?":
    for j in range(10):dp[0][j]=1
else:
    dp[0][int(s[0])]=1
for i in range(1,l):
    mod = pow(10,i,13)
    if s[i] == "?":
        for j in range(10):
            for k in range(13):
                dp[i-1][k] %= 10**9+7
                dp[i][(k+j*mod)%13] += dp[i-1][k]
    else:
        for k in range(13):
            dp[i-1][k] %= 10**9+7
            dp[i][(k+int(s[i])*mod)%13] += dp[i-1][k]
print(dp[-1][5]%(10**9+7))

Buggy python submission (verdict: Time Limit Exceeded):
s=input()[::-1]
l=len(s)
dp=[[0 for j in range(13)] for i in range(l)]
if s[0] == "?":
    for j in range(10):dp[0][j]=1
else:
    dp[0][int(s[0])]=1
for i in range(1,l):
    mod = 10**i % 13
    if s[i] == "?":
        for j in range(10):
            for k in range(13):
                dp[i-1][k] %= 10**9+7
                dp[i][(k+j*mod)%13] += dp[i-1][k]
    else:
        for k in range(13):
            dp[i-1][k] %= 10**9+7
            dp[i][(k+int(s[i])*mod)%13] += dp[i-1][k]
print(dp[-1][5]%(10**9+7))

Fixed submission:
s=input()[::-1]
l=len(s)
dp=[[0 for j in range(13)] for i in range(l)]
if s[0] == "?":
    for j in range(10):dp[0][j]=1
else:
    dp[0][int(s[0])]=1
for i in range(1,l):
    mod = pow(10,i,13)
    if s[i] == "?":
        for j in range(10):
            for k in range(13):
                dp[i-1][k] %= 10**9+7
                dp[i][(k+j*mod)%13] += dp[i-1][k]
    else:
        for k in range(13):
            dp[i-1][k] %= 10**9+7
            dp[i][(k+int(s[i])*mod)%13] += dp[i-1][k]
print(dp[-1][5]%(10**9+7))

Buggy python submission (verdict: Runtime Error):
s=input()[::-1]
l=len(s)
dp=[[0 for j in range(13)] for i in range(l)]
if s[0] == "?":
    for j in range(10):dp[0][j]=1
else:
    dp[0][int(s[0])]=1
for i in range(1,l):
    mod = 10**i % 13
    if s[i] == "?":
        for j in range(10):
            for k in range(13):
                dp[i][(k+j*mod)%13] += dp[i-1][k]
                dp %= 10**9+7
    else:
        for k in range(13):
            dp[i][(k+int(s[i])*mod)%13] += dp[i-1][k]
            dp %= 10**7
print(dp[-1][5]%(10**9+7))

Fixed submission:
s=input()[::-1]
l=len(s)
dp=[[0 for j in range(13)] for i in range(l)]
if s[0] == "?":
    for j in range(10):dp[0][j]=1
else:
    dp[0][int(s[0])]=1
for i in range(1,l):
    mod = pow(10,i,13)
    if s[i] == "?":
        for j in range(10):
            for k in range(13):
                dp[i-1][k] %= 10**9+7
                dp[i][(k+j*mod)%13] += dp[i-1][k]
    else:
        for k in range(13):
            dp[i-1][k] %= 10**9+7
            dp[i][(k+int(s[i])*mod)%13] += dp[i-1][k]
print(dp[-1][5]%(10**9+7))

Buggy python submission (verdict: Time Limit Exceeded):
s=input()[::-1]
l=len(s)
dp=[[0 for j in range(13)] for i in range(l)]
if s[0] == "?":
    for j in range(10):dp[0][j]=1
else:
    dp[0][int(s[0])]=1
for i in range(1,l):
    mod = 10**i % 13
    if s[i] == "?":
        for j in range(10):
            for k in range(13):
                dp[i][(k+j*mod)%13] += dp[i-1][k]
    else:
        for k in range(13):
            dp[i][(k+int(s[i])*mod)%13] += dp[i-1][k]
print(dp[-1][5]%(10**9+7))


Fixed submission:
s=input()[::-1]
l=len(s)
dp=[[0 for j in range(13)] for i in range(l)]
if s[0] == "?":
    for j in range(10):dp[0][j]=1
else:
    dp[0][int(s[0])]=1
for i in range(1,l):
    mod = pow(10,i,13)
    if s[i] == "?":
        for j in range(10):
            for k in range(13):
                dp[i-1][k] %= 10**9+7
                dp[i][(k+j*mod)%13] += dp[i-1][k]
    else:
        for k in range(13):
            dp[i-1][k] %= 10**9+7
            dp[i][(k+int(s[i])*mod)%13] += dp[i-1][k]
print(dp[-1][5]%(10**9+7))

Buggy python submission (verdict: Time Limit Exceeded):
s=input()[::-1]
l=len(s)
dp=[[0 for j in range(13)] for i in range(l)]
if s[0] == "?":
    for j in range(10):dp[0][j]=1
else:
    dp[0][int(s[0])]=1
for i in range(1,l):
    mod = 10**i % 13
    if s[i] == "?":
        for j in range(10):
            for k in range(13):
                dp[i][(k+j*mod)%13] += dp[i-1][k]
    else:
        for k in range(13):
            dp[i][(k+int(s[i])*mod)%13] += dp[i-1][k]
print(dp[-1][5]%(10**9+7))

Fixed submission:
s=input()[::-1]
l=len(s)
dp=[[0 for j in range(13)] for i in range(l)]
if s[0] == "?":
    for j in range(10):dp[0][j]=1
else:
    dp[0][int(s[0])]=1
for i in range(1,l):
    mod = pow(10,i,13)
    if s[i] == "?":
        for j in range(10):
            for k in range(13):
                dp[i-1][k] %= 10**9+7
                dp[i][(k+j*mod)%13] += dp[i-1][k]
    else:
        for k in range(13):
            dp[i-1][k] %= 10**9+7
            dp[i][(k+int(s[i])*mod)%13] += dp[i-1][k]
print(dp[-1][5]%(10**9+7))