Question

can you help me with the above question???

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Answer 1

This is based on the fact that HCF or GCD of (a,a-b) or (a-b,b) is the same that of (a,b). This Follows from the fact that every mutual factor of a and b are also the factor of a+b and |a-b|.
And so becomes the grid. This will happen at each stage of reach for some (a,b); Thus lion can only reach those points whose gcd or hcf is (8,10)==2; Therefore the answer is all the coordinates whose hcf is 2; {(2,2)}*1
{(2,4) (4,6) (6,8) (8,10) (10,12) (2,6) (6,10) (2,8) (4,10) (2,10) (2,12)} * 2(As these could be both a,b and b,a) Ans 11*2 + 1 = ​23
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