Given in input the maximum degree P, the algorithm furnishes a ordered list of two dimensional vectors [i,j] i,j>=0 such that i+j<=P-1
P=2 indexes=[0,0;1,0;0,1]
P=3 indexes=[0,0;1,0;0,1;2,0;1,1;0,2]
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The indexes must follow a cantor-like order for some reason, and this zig-zag should probably be added to the problem description.
What exactly do you mean by an ordered pair? Specify it in the problem description.