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
import collections
s = map(int,raw_input())

dp = [0] * 2019
count = 0
for j in range(len(s)):
    ndp = [0] * 2019
    ndp[s[j]] += 1
    for k in range(len(dp)):
        ndp[(10*k + s[j]) % 2019] += dp[k]
    count += ndp[0]
    dp = ndp[::]

print count


