Given $a, b, c, d$, find out the number of pairs of integers $(x, y)$ where $a \leq x \leq b, c \leq y \leq d$ and $x \cdot y$ is multiple of $2017$.

Input

The input contains zero or more test cases and is terminated by end-of-file.

Each test case contains four integers $a, b, c, d$.

• $1 \leq a \leq b \leq 10^9, 1 \leq c \leq d \leq 10^9$
• The number of tests cases does not exceed $10^4$.

Output

For each case, output an integer which denotes the result.

Sample Input

1 2017 1 2016
1 1000000000 1 1000000000

Sample Output

2016
991324197233775