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

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

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

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

Buggy python submission (verdict: Time Limit Exceeded):
s = input()
mod = int(1e9 + 7)
if s[-1]=="?":
    dp = [1]*13
    dp[10:13] = [0,0,0]
else:
    dp = [0]*13
    dp[int(s[-1])] = 1

if len(s)==1:
    print(dp[5]%mod)
    exit()
else:
    mul = 10
    for i in reversed(range(len(s)-1)):
        nextdp = [0] * 13
        if s[i]=="?":
            for j in range(10):
                for k in range(13):
                    l = (j*mul+k) % 13
                    nextdp[l] += dp[k]
        else:
            for k in range(13):
                l = (int(s[i])*mul+k) % 13
                nextdp[l] += dp[k]
        mul *= 10
        dp = nextdp
    print(dp[5]%mod)
    exit()

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

Buggy python submission (verdict: Time Limit Exceeded):
s = input()
mod = int(1e9 + 7)
if s[-1]=="?":
    dp = [1]*13
    dp[12] = 0
    dp[11] = 0
    dp[10] = 0
else:
    dp = [0]*13
    dp[int(s[-1])] = 1

if len(s)==1:
    print(dp[5]%mod)
    exit()
else:
    mul = 10
    for i in reversed(range(len(s)-1)):
        nextdp = [0] * 13
        if s[i]=="?":
            for j in range(13):
                for k in range(10):
                    l = (k*mul) % 13
                    for m in range(13):
                        if ((l+m)%13)==j:
                            nextdp[j] += dp[m]
                        else:
                            nextdp[j] += 0
        else:
            for j in range(13):
                l = (int(s[i])*mul) % 13
                for m in range(13):
                    if ((l+m)%13)==j:
                        nextdp[j] += dp[m]
                    else:
                        nextdp[j] += 0
        mul *= 10
        dp = nextdp
print(dp[5]%mod)

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