construct/mc all interval
construct/mc all interval: a task in MathConstructOptimize-Envs-harbor (Harbor dataset). An all-interval series of size 40 is a permutation x 0..39 of 0..39 such that the absolute differences d i = x i+1 - x i (i = 0..38) form a permutation of 1..39.
The task
An all-interval series of size 40 is a permutation x[0..39] of 0..39 such that the absolute differences d[i] = |x[i+1] - x[i]| (i = 0..38) form a permutation of 1..39.