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()
 
res = [0] * 2019
res[0] = 1
 
d = 1
a = 0
 
for c in reversed(S):
    a += int(c) * d
    a %= 2019
    res[a] += 1
    d *= 10
    d %= 2019
 
ans = 0
for r in res:
    ans += r*(r-1) // 2
print(ans)