For a set of sequences of integers{a1,a2,a3,...an}, we define a sequence{ai1,ai2,ai3...aik}in which 1<=i1<i2<i3<...<ik<=n, as the sub-sequence of {a1,a2,a3,...an}. It is quite obvious that a sequence with the length n has 2^n sub-sequences. And for a sub-sequence{ai1,ai2,ai3...aik},if it matches the following qualities: k >= 2, and the neighboring 2 elements have the difference not larger than d, it will be defined as a Perfect Sub-sequence. Now given an integer sequence, calculate the number of its perfect sub-sequence.