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E. Sum of Remainders
time limit per test
2 seconds
memory limit per test
256 megabytes
input
standard input
output
standard output

Calculate the value of the sum: n mod 1 + n mod 2 + n mod 3 + ... + n mod m. As the result can be very large, you should print the value modulo 109 + 7 (the remainder when divided by 109 + 7).

The modulo operator a mod b stands for the remainder after dividing a by b. For example 10 mod 3 = 1.

Input

The only line contains two integers n, m (1 ≤ n, m ≤ 1013) — the parameters of the sum.

Output

Print integer s — the value of the required sum modulo 109 + 7.

Examples
Input
3 4
Output
4
Input
4 4
Output
1
Input
1 1
Output
0