Buggy python submission (verdict: Time Limit Exceeded):
s=input()
n=len(s)
p=10**9+7

dp=[[0]*13 for i in range(n)]
 
if s[0]!='?':
    a=int(s[0])*10**(n-1)%13
    dp[0][a]=1
else:
    for k in range(10):
        a=k*10**(n-1)%13
        dp[0][a]=1
 
for i in range(1,n):
    m=10**(n-i-1)%13
    if s[i]!='?':
        for j in range(13):
            dp[i][j]=dp[i-1][(j-int(s[i])*m)%13]%p
    else:
        for k in range(10):
            for j in range(13):
                dp[i][j]+=dp[i-1][(j-k*m)%13]%p
print(dp[n-1][5]%(10**9+7))

Fixed submission:
s=input()
n=len(s)
p=10**9+7
 
dp=[[0]*13 for i in range(n)]
m=[0]*(n-1)+[1]
for i in range(n-1):
    m[-i-2]=m[-i-1]*10%13
 
if s[0]!='?':
    a=int(s[0])*m[0]%13
    dp[0][a]=1
else:
    for k in range(10):
        a=k*m[0]%13
        dp[0][a]=1
 
for i in range(1,n):
    if s[i]!='?':
        for j in range(13):
            dp[i][j]=dp[i-1][(j-int(s[i])*m[i])%13]%p
    else:
        for k in range(10):
            for j in range(13):
                dp[i][j]+=dp[i-1][(j-k*m[i])%13]%p
print(dp[n-1][5]%p)

Buggy python submission (verdict: Time Limit Exceeded):
s=input()
n=len(s)

dp=[[0]*13 for i in range(n)]
m=[0]*(n-1)+[1]
for i in range(n-1):
    m[-i-2]=m[-i-1]*10%13

if s[0]!='?':
    a=int(s[0])*m[0]%13
    dp[0][a]=1
else:
    for k in range(10):
        a=k*m[0]%13
        dp[0][a]=1

for i in range(1,n):
    if s[i]!='?':
        for j in range(13):
            dp[i][j]=dp[i-1][(j-int(s[i])*m[i])%13]
    else:
        for k in range(10):
            for j in range(13):
                dp[i][j]+=dp[i-1][(j-k*m[i])%13]
print(dp[n-1][5]%(10**9+7))

Fixed submission:
s=input()
n=len(s)
p=10**9+7
 
dp=[[0]*13 for i in range(n)]
m=[0]*(n-1)+[1]
for i in range(n-1):
    m[-i-2]=m[-i-1]*10%13
 
if s[0]!='?':
    a=int(s[0])*m[0]%13
    dp[0][a]=1
else:
    for k in range(10):
        a=k*m[0]%13
        dp[0][a]=1
 
for i in range(1,n):
    if s[i]!='?':
        for j in range(13):
            dp[i][j]=dp[i-1][(j-int(s[i])*m[i])%13]%p
    else:
        for k in range(10):
            for j in range(13):
                dp[i][j]+=dp[i-1][(j-k*m[i])%13]%p
print(dp[n-1][5]%p)

Buggy python submission (verdict: Time Limit Exceeded):
s=input()
n=len(s)

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

if s[0]!='?':
    a=int(s[0])*10**(n-1)%13
    dp[0][a]=1
else:
    for k in range(10):
        a=k*10**(n-1)%13
        dp[0][a]=1

for i in range(1,n):
    m=10**(n-i-1)%13
    if s[i]!='?':
        for j in range(13):
            dp[i][j]=dp[i-1][(j-int(s[i])*m)%13]
    else:
        for k in range(10):
            for j in range(13):
                dp[i][j]+=dp[i-1][(j-k*m)%13]
print(dp[n-1][5]%(10**9+7))

Fixed submission:
s=input()
n=len(s)
p=10**9+7
 
dp=[[0]*13 for i in range(n)]
m=[0]*(n-1)+[1]
for i in range(n-1):
    m[-i-2]=m[-i-1]*10%13
 
if s[0]!='?':
    a=int(s[0])*m[0]%13
    dp[0][a]=1
else:
    for k in range(10):
        a=k*m[0]%13
        dp[0][a]=1
 
for i in range(1,n):
    if s[i]!='?':
        for j in range(13):
            dp[i][j]=dp[i-1][(j-int(s[i])*m[i])%13]%p
    else:
        for k in range(10):
            for j in range(13):
                dp[i][j]+=dp[i-1][(j-k*m[i])%13]%p
print(dp[n-1][5]%p)

Buggy python submission (verdict: Time Limit Exceeded):
s=input()
n=len(s)

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

if s[0]!='?':
    a=int(s[0])*10**(n-1)%13
    dp[0][a]=1
else:
    for k in range(10):
        a=k*10**(n-1)%13
        dp[0][a]=1

for i in range(1,n):
    if s[i]!='?':
        a=int(s[i])*10**(n-i-1)%13
        for j in range(13):
            dp[i][j]=dp[i-1][(j-a)%13]
    else:
        for k in range(10):
            a=k*10**(n-i-1)%13
            for j in range(13):
                dp[i][j]+=dp[i-1][(j-a)%13]
print(dp[n-1][5]%(10**9+7))

Fixed submission:
s=input()
n=len(s)
p=10**9+7
 
dp=[[0]*13 for i in range(n)]
m=[0]*(n-1)+[1]
for i in range(n-1):
    m[-i-2]=m[-i-1]*10%13
 
if s[0]!='?':
    a=int(s[0])*m[0]%13
    dp[0][a]=1
else:
    for k in range(10):
        a=k*m[0]%13
        dp[0][a]=1
 
for i in range(1,n):
    if s[i]!='?':
        for j in range(13):
            dp[i][j]=dp[i-1][(j-int(s[i])*m[i])%13]%p
    else:
        for k in range(10):
            for j in range(13):
                dp[i][j]+=dp[i-1][(j-k*m[i])%13]%p
print(dp[n-1][5]%p)

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

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

if s[0]!='?':
    a=int(s[i])*10**(n-1)%13
    dp[0][a]=1
else:
    for k in range(10):
        a=k*10**(n-1)%13
        dp[0][a]=1

for i in range(1,n):
    if s[i]!='?':
        a=int(s[i])*10**(n-i-1)%13
        for j in range(13):
            dp[i][j]+=dp[i-1][(j-a)%13]
    else:
        for k in range(10):
            a=k*10**(n-i-1)%13
            for j in range(13):
                dp[i][j]+=dp[i-1][(j-a)%13]
print(dp[n-1][5]%(10**9+7))

Fixed submission:
s=input()
n=len(s)
p=10**9+7
 
dp=[[0]*13 for i in range(n)]
m=[0]*(n-1)+[1]
for i in range(n-1):
    m[-i-2]=m[-i-1]*10%13
 
if s[0]!='?':
    a=int(s[0])*m[0]%13
    dp[0][a]=1
else:
    for k in range(10):
        a=k*m[0]%13
        dp[0][a]=1
 
for i in range(1,n):
    if s[i]!='?':
        for j in range(13):
            dp[i][j]=dp[i-1][(j-int(s[i])*m[i])%13]%p
    else:
        for k in range(10):
            for j in range(13):
                dp[i][j]+=dp[i-1][(j-k*m[i])%13]%p
print(dp[n-1][5]%p)

Buggy python submission (verdict: Time Limit Exceeded):
s=input()
n=len(s)

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

for i in range(n):
    if s[i]!='?':
        a=int(s[i])*10**(n-i-1)%13
        if i==0:
            dp[i][a]=1
        else:
            for j in range(13):
                dp[i][j]+=dp[i-1][(j-a)%13]
    else:
        for k in range(10):
            a=k*10**(n-i-1)%13
            if i==0:
                dp[i][a]=1
            else:
                for j in range(13):
                    dp[i][j]+=dp[i-1][(j-a)%13]
print(dp[n-1][5]%(10**9+7))

Fixed submission:
s=input()
n=len(s)
p=10**9+7
 
dp=[[0]*13 for i in range(n)]
m=[0]*(n-1)+[1]
for i in range(n-1):
    m[-i-2]=m[-i-1]*10%13
 
if s[0]!='?':
    a=int(s[0])*m[0]%13
    dp[0][a]=1
else:
    for k in range(10):
        a=k*m[0]%13
        dp[0][a]=1
 
for i in range(1,n):
    if s[i]!='?':
        for j in range(13):
            dp[i][j]=dp[i-1][(j-int(s[i])*m[i])%13]%p
    else:
        for k in range(10):
            for j in range(13):
                dp[i][j]+=dp[i-1][(j-k*m[i])%13]%p
print(dp[n-1][5]%p)