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()
l = len(s)
dp = [0]*2019
dp[0] = 1
r = 0
for i in range(1, l + 1):
    r += int(s[-i]) * pow(10, i - 1, 2019)
    r %= 2019
    dp[r] += 1
    
print(sum([(i * (i - 1)) // 2 for i in dp]))