 i   :    1   2   3   4   5   6   7   8   9  10
 S[i]:    9   2   5   3   7  11   8  10  13   6
 L[i]:    1   1   2   2   3   4   4   5   6   3
 P[i]:    0   0   2   2   3   5   5   7   8   3

length = 6
subsequence = 2 5 7 8 10 13
