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
p=2019
s,a,d,z=reversed(input()),0,0,[0]*p
for i,j in enumerate(s):
	d=(d+(int(j)*pow(10,i,p)))%p
	z[d]+=1
r=z[0]
for i in range(p):
	r+=z[i]*(z[i]-1)//2
print(r)