Find the number of ordered pairs of integers (x,y)(x, y)(x,y) such that 0<x,y≤1000 < x, y \le 1000<x,y≤100 and gcd(x,100)=gcd(y,100)=1\text{gcd}(x, 100) = \text{gcd}(y, 100) = 1gcd(x,100)=gcd(y,100)=1.
40240^2402
20220^2202
50250^2502
1002100^21002