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I agree with kr.neerav and use BST to solve this problem.
1. Read the input array from right to left
2. Insert each array element into a BST.
Note that I can find out the whether the least greater number for element k exists or not , from existed sub-tree when inserting k: the least greater number for k must be a predecessor
of k if it exists.
- ysong.sc July 05, 2014