Problem:
Score : 400 points

Problem Statement

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.

Sample Input 1

1817181712114

Sample Output 1

3

Three pairs - (1,5), (5,9), and (9,13) - satisfy the condition.

Sample Input 2

14282668646

Sample Output 2

2

Sample Input 3

2119

Sample Output 3

0

No pairs satisfy the condition.

Solution in Lua (LuaJIT 2.1.0) (judge verdict: Accepted)

local s = io.read()
local mul = 1
local t = {}
for i = 0, 2018 do
  t[i] = 0
end
t[0] = 1
local cur = 0
local ret = 0
for i = #s, 1, -1 do
  local v = s:sub(i, i):byte() - 48
  cur = (cur + mul * v) % 2019
  ret = ret + t[cur]
  t[cur] = t[cur] + 1
  mul = (mul * 10) % 2019
end
print(ret)