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]
MOD = 2019

r = 0
C = [0 for _ in range(MOD)]
C[0] = 1

for i,s in enumerate(S):
    r += int(s)*pow(10,i,MOD)
    r %= MOD
    C[r] += 1

a = 0
for c in C:
    a += c*(c-1)/2

print(int(a))
