Problem E
Teams
Input: Standard Input
Output: Standard Output
In a galaxy far far away
there is an ancient game played among the planets. The specialty of the game is
that there is no limitation on the number of players in each team, as long as
there is a captain in the team. (The game is totally strategic, so sometimes
less player increases the chance to win). So the coaches who have a total of N
players to play, selects K (1 ≤ K ≤ N) players and make
one of them as the captain for each phase of the game. Your task is simple,
just find in how many ways a coach can select a team from his N players.
Remember that, teams with same players but having different captain are
considered as different team.
Input
The
first line of input contains the number of test cases T ≤ 500.
Then each of the next T lines contains the value of N (1 ≤ N ≤
10^9), the number of players the coach has.
Output
For
each line of input output the case number, then the number of ways teams can be
selected. You should output the result modulo 1000000007.
For
exact formatting, see the sample input and output.
Sample Input Output
for Sample Input
|
3 1 2 |
Case #1: 1 Case
#2: 4 Case #3: 12 |
Problem
Setter: Towhidul Islam Talukdar
Special
Thanks: Md. Arifuzzaman Arif