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 = [int(a) for a in input()[::-1]]
m = 2019
N = len(S)
s = 0
p = 1
X = [0] * 2019
X[0] = 1
ans = 0
for a in S:
    s = (s + a * p) % m
    ans += X[s]
    X[s] += 1
    p = p * 10 % m
 
print(ans)