Monday, January 7, 2013

SGU 355 : Numbers Painting

Link : sgu355

Category : Simple number theory
Solution :  For every M in 2 to N, let prime factorization of M be M=product(piei). Then M will be colored by color number sum(ei). Eg, 12=22x31, then color 12 by color number (2+1)=3. Additionally, number 1 will require a totally different color, since it divides all other numbers.


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