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Davis has staircases in his house and he likes to climb each staircase , , or steps at a time. Being a very precocious child, he wonders how many ways there are to reach the top of the staircase.
Given the respective heights for each of the staircases in his house, find and print the number of ways he can climb each staircase on a new line.
The first line contains a single integer, , denoting the number of staircases in his house.
Each line of the subsequent lines contains a single integer, , denoting the height of staircase .
for of the maximum score.
For each staircase, print the number of ways Davis can climb it in a new line.
Let's calculate the number of ways of climbing the first two of the Davis' staircases:
The first staircase only has step, so there is only one way for him to climb it (i.e., by jumping step). Thus, we print on a new line.
The second staircase has steps and he can climb it in any of the four following ways: