In this problem the number of integer points on a segment is gcd(x,y)+1. where x = abs(x1-x2) and y = abs(y1-y2). But why it does? Anyone please explain it. Thanks in advance.
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you can find answer whit this formula. sqrt((x2-x1)^2+(Y2-Y1)^2)/(max(tg a, ctg a)) where a is angel betveen segment and x axis
https://www.geeksforgeeks.org/number-integral-points-two-points/