17637번 - Count Squares 서브태스크다국어

문제

Alice took a clean sheet of paper and drew h horizontal and v vertical lines onto the paper.

The horizontal lines have y-coordinates y₁, . . . , y_h, and the vertical lines have x-coordinates x₁, . . . , x_v.

Given these coordinates, count the number of squares that appeared on the paper.

(The whole boundary of the square has to be drawn. The inside of the square does not have to be empty.)

입력

The first line of input contains the integers h and v (0 ≤ h, v ≤ 1500).

The second line of input contains a strictly increasing sequence consisting of h space-separated integers: y₁, . . . , y_h.

The third line of input contains a strictly increasing sequence consisting of v space-separated integers: x₁, . . . , x_v.

All horizontal and vertical coordinates are between 0 and 2³⁰, inclusive.

출력

Output a single line with a single integer: the total number of squares.

제한

서브태스크

힌트

In the example there is one 1 × 1 square, one 2 × 2 square, and one 3 × 3 square.