Given a circular array (the next element of the last element is the first element of the array), print the Next Greater Number for every element. The Next Greater Number of a number x is the first greater number to its traversing-order next in the array, which means you could search circularly to find its next greater number. If it doesn't exist, output -1 for this number.
Examples
Example 1
Input[1,2,1]
Output[2,-1,2]
Explanation
The first 1's next greater number is 2;
The number 2 can't find a next greater number;
The second 1's next greater number needs to search circularly, which is also 2.
Note
The length of the given array won't exceed 10000.