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**Miles**: That's brilliant!I spent hours on a variant of this problem:the N is not 1001, id could be up to 10^18; and the sum we wanted is too big, we ...**kyduke**: a = 92604733, b = 92604734 h = sqrt( (a * a) - (b/2 * b/2) ) = 80198051a, b, h are all integer. difference of a and b is 1.I want to know why...**QuasiChameleon**: @Manas SrivastavaAccording to Kristian, the number of distinct possibilities is floor((d(n^2) + 1) / 2), which for 6 becomes floor([(2*a2 + 1)*(2*...**Jean-Marie Hachey**: Table 1 Application and non-application of the 6/9 reversal and its effects on the number of distinct valid combinations generated.http://img11....**Sanchit Handa**: Awesome explanation.Both path compression & union by rank cannot be applied together. Right?...**Ben**: coins "c" in square brackets...

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