Buggy python submission (verdict: Time Limit Exceeded):
S = input()
g = 10 ** 9 + 7
x = 1
DP = [[0] * 13 for _ in range(2)]
DP[0][0] = 1
for i in range(len(S)):
    for j in range(13):
        DP[1][j] = DP[0][j] % g
        DP[0][j] = 0
    for j in range(13):
        if S[i] == "?":
            s = (j*10)%13
            e = (s+10)%13
        else:
            s = (j*10+int(S[i]))%13
            e = (s+1)%13
        DP[0][s] += DP[1][j]
        if s > e:
            DP[0][0] += DP[1][j]
        DP[0][e] -= DP[1][j]
    w = 0
    for j in range(13):
        w += DP[0][j]
        DP[0][j] = w

print(DP[0][5] % g)


Fixed submission:
S = input()
g = 10 ** 9 + 7
x = 1
DP = [[0] * 13 for _ in range(2)]
DP[0][0] = 1
for i in range(len(S)):
    for j in range(13):
        DP[1][j] = DP[0][j] % g
        DP[0][j] = 0
    for j in range(13):
        if S[i] == "?":
            for k in range(10):
               DP[0][(j*10+k)%13] += DP[1][j]
        else:
            DP[0][(j*10+int(S[i]))%13] += DP[1][j]

print(DP[0][5] % g)

Buggy python submission (verdict: Time Limit Exceeded):
S = input()
g = 10 ** 9 + 7
x = 1
DP = [[0] * 13 for _ in range(2)]
DP[0][0] = 1
for i in range(len(S)):
    for j in range(13):
        DP[1][j] = DP[0][j] % g
        DP[0][j] = 0
    for j in range(13):
        if S[i] == "?":
            for k in range(10):
               DP[0][(j*10+k)%13] += DP[1][j]
        else:
            DP[0][(j*10+int(S[i]))%13] += DP[1][j]

print(DP[0][5] % g)


Fixed submission:
S = input()
g = 10 ** 9 + 7
x = 1
DP = [[0] * 13 for _ in range(2)]
DP[0][0] = 1
for i in range(len(S)):
    for j in range(13):
        DP[1][j] = DP[0][j] % g
        DP[0][j] = 0
    for j in range(13):
        if S[i] == "?":
            for k in range(10):
               DP[0][(j*10+k)%13] += DP[1][j]
        else:
            DP[0][(j*10+int(S[i]))%13] += DP[1][j]

print(DP[0][5] % g)

Buggy python submission (verdict: Time Limit Exceeded):
S = input()
g = 10 ** 9 + 7
x = 1
DP = [[0] * 13 for _ in range(2)]
DP[0][0] = 1
for i in range(len(S)):
    DP[1], DP[0] = DP[0], DP[1]
    for j in range(13):
        DP[0][j] = 0
    for j in range(13):
        if S[i] == "?":
            for k in range(10):
               DP[0][(j*10+k)%13] += DP[1][j]
        else:
            DP[0][(j*10+int(S[i]))%13] += DP[1][j]

print(DP[0][5] % g)


Fixed submission:
S = input()
g = 10 ** 9 + 7
x = 1
DP = [[0] * 13 for _ in range(2)]
DP[0][0] = 1
for i in range(len(S)):
    for j in range(13):
        DP[1][j] = DP[0][j] % g
        DP[0][j] = 0
    for j in range(13):
        if S[i] == "?":
            for k in range(10):
               DP[0][(j*10+k)%13] += DP[1][j]
        else:
            DP[0][(j*10+int(S[i]))%13] += DP[1][j]

print(DP[0][5] % g)

Buggy python submission (verdict: Runtime Error):
S = input()
g = 10 ** 9 + 7
x = 1
DP = [None for _ in range(2)]
DP[0] = [0] * 13
DP[0][0] = 1
for i in range(len(S)):
    DP[1] = DP[0].copy()
    DP[0] = [0] * 13
    for j in range(13):
        if S[i] == "?":
                for k in range(10):
                    DP[0][(j*10+k)%13] += DP[1][j]
        else:
            DP[0][(j*10+int(S[i]))%13] += DP[1][j]

print(DP[0][5] % g)


Fixed submission:
S = input()
g = 10 ** 9 + 7
x = 1
DP = [[0] * 13 for _ in range(2)]
DP[0][0] = 1
for i in range(len(S)):
    for j in range(13):
        DP[1][j] = DP[0][j] % g
        DP[0][j] = 0
    for j in range(13):
        if S[i] == "?":
            for k in range(10):
               DP[0][(j*10+k)%13] += DP[1][j]
        else:
            DP[0][(j*10+int(S[i]))%13] += DP[1][j]

print(DP[0][5] % g)

Buggy python submission (verdict: Time Limit Exceeded):
S = input()
g = 10 ** 9 + 7
x = 1
DP = [None for _ in range(2)]
DP[0] = [0] * 13
DP[0][0] = 1
for i in range(len(S)):
    DP[1] = DP[0].copy()
    DP[0] = [0] * 13
    for j in range(13):
        if S[i] == "?":
                for k in range(10):
                    DP[0][(j*10+k)%13] += DP[1][j]
        else:
            DP[0][(j*10+int(S[i]))%13] += DP[1][j]

print(DP[0][5] % g)


Fixed submission:
S = input()
g = 10 ** 9 + 7
x = 1
DP = [[0] * 13 for _ in range(2)]
DP[0][0] = 1
for i in range(len(S)):
    for j in range(13):
        DP[1][j] = DP[0][j] % g
        DP[0][j] = 0
    for j in range(13):
        if S[i] == "?":
            for k in range(10):
               DP[0][(j*10+k)%13] += DP[1][j]
        else:
            DP[0][(j*10+int(S[i]))%13] += DP[1][j]

print(DP[0][5] % g)