Given is a string S consisting of digits from `1` through `9`.

Find the number of pairs of integers (i,j) (1 ≤ i ≤ j ≤ |S|) that satisfy the following condition:

Condition: In base ten, the i-th through j-th characters of S form an integer that is a multiple of 2019.

Constraints

* 1 ≤ |S| ≤ 200000
* S is a string consisting of digits from `1` through `9`.

Input

Input is given from Standard Input in the following format:


S


Output

Print the number of pairs of integers (i,j) (1 ≤ i ≤ j ≤ |S|) that satisfy the condition.

Examples

Input

1817181712114


Output

3


Input

14282668646


Output

2


Input

2119


Output

0
s = input()[::-1]
p = 0
dp = [0] * 2019
dp[0] = 1
d = 1
for i in s:    
    p = (int(i) * d + (p)) % 2019
    dp[p] += 1
    d *= 10
    d = d % 2019
ans = 0
for i in dp:
    ans += i * (i - 1) // 2
print(ans)