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
mod = 2019
s = input()
n = len(s)
w = 0
d = [0] * mod
p = 1
for i in reversed(range(n)):
	w += int(s[i]) * p
	p *= 10
	p %= mod
	w %= mod
	d[w] += 1
d[0] += 1
o = 0
for x in d:
	o += x * (x - 1) // 2
print(o)
