Buggy python submission (verdict: Time Limit Exceeded):
S = input()
N = len(S)
sosu = 10 ** 9 + 7
dp = [[0 for i in range(13)] for j in range(N)]
j = 0
if S[j] == '?':
    flag = -1
else:
    flag = int(S[j])
if flag == -1:
    for i in range(10):
        dp[j][i] += 1
else:
    dp[j][flag] = 1
#print(dp)
for j in range(1, N):
    if S[j] == '?':
        flag = -1
    else:
        flag = int(S[j])
    for k in range(10):
        if flag == -1:
            for i in range(13):
                dp[j][(i * 10 + k) % 13] += dp[j - 1][i]
            for i in range(13):
                dp[j][i] = dp[j][i] % sosu
        else:
            for i in range(13):
                dp[j][(i * 10 + flag) % 13] = dp[j-1][i]

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

Fixed submission:
S = input()
N = len(S)
sosu = 10 ** 9 + 7
dp = [[0 for i in range(13)] for j in range(N)]
j = 0
if S[j] == '?':
    flag = -1
else:
    flag = int(S[j])
if flag == -1:
    for i in range(10):
        dp[j][i] += 1
else:
    dp[j][flag] = 1
#print(dp)
for j in range(1, N):
    if S[j] == '?':
        flag = -1
    else:
        flag = int(S[j])
    for k in range(10):
        if flag == -1:
            for i in range(13):
                dp[j][(i * 10 + k) % 13] += dp[j - 1][i]
            for i in range(13):
                dp[j][i] = dp[j][i] % sosu
        else:
            for i in range(13):
                dp[j][(i * 10 + flag) % 13] = dp[j-1][i]
 
print(dp[N-1][5])

Buggy python submission (verdict: Time Limit Exceeded):
S = input()
N = len(S)
sosu = 10 ** 9 + 7
dp = [[0 for i in range(13)] for j in range(N)]
amarilist = dict()
amarilist[0] = 1
for i in range(1,N):
    amarilist[i] = amarilist[i-1] * 10 % 13
#print(amarilist)
if S[0] == '?':
    for k in range(10):
        amari =  k * amarilist[N-1] % 13
        dp[0][amari] += 1
else:
    amari = int(S[0]) * amarilist[N-1]  % 13
    dp[0][amari] = 1
#print(dp)
for j in range(1,N):
    if S[j] == '?':
        for k in range(10):
            amari = k * amarilist[N-j-1]  % 13
            for i in range(13):
                if i >= amari:
                    dp[j][i] += dp[j - 1][i - amari]
                    dp[j][i] = dp[j][i] % sosu
                else:
                    dp[j][i] += dp[j - 1][i + 13 - amari]
                    dp[j][i] = dp[j][i] % sosu
    else:
        amari = int(S[j]) * amarilist[N-j-1] % 13
        for i in range(13):
            if i >= amari:
                dp[j][i] = dp[j-1][i-amari]
            else:
                dp[j][i] = dp[j-1][i + 13 - amari]
print(dp[N-1][5])

Fixed submission:
S = input()
N = len(S)
sosu = 10 ** 9 + 7
dp = [[0 for i in range(13)] for j in range(N)]
j = 0
if S[j] == '?':
    flag = -1
else:
    flag = int(S[j])
if flag == -1:
    for i in range(10):
        dp[j][i] += 1
else:
    dp[j][flag] = 1
#print(dp)
for j in range(1, N):
    if S[j] == '?':
        flag = -1
    else:
        flag = int(S[j])
    for k in range(10):
        if flag == -1:
            for i in range(13):
                dp[j][(i * 10 + k) % 13] += dp[j - 1][i]
            for i in range(13):
                dp[j][i] = dp[j][i] % sosu
        else:
            for i in range(13):
                dp[j][(i * 10 + flag) % 13] = dp[j-1][i]
 
print(dp[N-1][5])

Buggy python submission (verdict: Time Limit Exceeded):
S = input()
N = len(S)
sosu = 10 ** 9 + 7
dp = [[0 for i in range(13)] for j in range(N)]
amari = [0 for i in range(N)]
if S[0] == '?':
    for k in range(10):
        amari =  k * (10 ** (N-1) % 13) % 13
        dp[0][amari] += 1
else:
    amari = int(S[0]) * (10 ** (N-1) % 13) % 13
    dp[0][amari] = 1
#print(dp)
for j in range(1,N):
    if S[j] == '?':
        for k in range(10):
            amari = k * (10 ** (N-j-1) % 13) % 13
            for i in range(13):
                if i >= amari:
                    dp[j][i] += dp[j - 1][i - amari]
                    dp[j][i] = dp[j][i] % sosu
                else:
                    dp[j][i] += dp[j - 1][i + 13 - amari]
                    dp[j][i] = dp[j][i] % sosu
    else:
        amari = int(S[j]) * (10 ** (N-j-1) % 13) % 13
        for i in range(13):
            if i >= amari:
                dp[j][i] = dp[j-1][i-amari]
            else:
                dp[j][i] = dp[j-1][i + 13 - amari]
print(dp[N-1][5])

Fixed submission:
S = input()
N = len(S)
sosu = 10 ** 9 + 7
dp = [[0 for i in range(13)] for j in range(N)]
j = 0
if S[j] == '?':
    flag = -1
else:
    flag = int(S[j])
if flag == -1:
    for i in range(10):
        dp[j][i] += 1
else:
    dp[j][flag] = 1
#print(dp)
for j in range(1, N):
    if S[j] == '?':
        flag = -1
    else:
        flag = int(S[j])
    for k in range(10):
        if flag == -1:
            for i in range(13):
                dp[j][(i * 10 + k) % 13] += dp[j - 1][i]
            for i in range(13):
                dp[j][i] = dp[j][i] % sosu
        else:
            for i in range(13):
                dp[j][(i * 10 + flag) % 13] = dp[j-1][i]
 
print(dp[N-1][5])