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()

mod = 2019
ctr = [0] * mod
t = 0
for i, v in enumerate(reversed(S)):
    t = (t + int(v) * pow(10, i, mod)) % mod
    ctr[t] += 1

ans = ctr[0]
for v in ctr:
    ans += v * (v - 1) // 2
print(ans)
