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E. Sum of Remainders

time limit per test

2 secondsmemory limit per test

256 megabytesinput

standard inputoutput

standard outputCalculate 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 10^{9} + 7 (the remainder when divided by 10^{9} + 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* ≤ 10^{13}) — the parameters of the sum.

Output

Print integer *s* — the value of the required sum modulo 10^{9} + 7.

Examples

Input

3 4

Output

4

Input

4 4

Output

1

Input

1 1

Output

0

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