Pagodas

Time Limit: 1000ms
Memory Limit: 65536KB
This problem will be judged on HDU. Original ID: 5512
64-bit integer IO format: %I64d      Java class name: Main

Description

$n$ pagodas were standing erect in Hong Jue Si between the Niushou Mountain and the Yuntai Mountain, labelled from $1$ to $n$. However, only two of them (labelled $a$ and $b$, where $1\le a\neq b\le n$) withstood the test of time.

Two monks, Yuwgna and Iaka, decide to make glories great again. They take turns to build pagodas and Yuwgna takes first. For each turn, one can rebuild a new pagodas labelled $i~(i\not\in\{a,b\}~and~1\le i\le n)$ if there exist two pagodas standing erect, labelled $j$ and $k$ respectively, such that $i=j+k$ or $i=j-k$. Each pagoda can not be rebuilt twice.

This is a game for them. The monk who can not rebuild a new pagoda will lose the game.

Input

The first line contains an integer $t~(1\le t\le 500)$ which is the number of test cases.
For each test case, the first line provides the positive integer $n~(2\le n\le 20000)$ and two different integers $a$ and $b$.

Output

For each test case, output the winner (``Yuwgna" or ``Iaka"). Both of them will make the best possible decision each time.

Sample Input

16
2 1 2
3 1 3
67 1 2
100 1 2
8 6 8
9 6 8
10 6 8
11 6 8
12 6 8
13 6 8
14 6 8
15 6 8
16 6 8
1314 6 8
1994 1 13
1994 7 12

Sample Output

Case #1: Iaka
Case #2: Yuwgna
Case #3: Yuwgna
Case #4: Iaka
Case #5: Iaka
Case #6: Iaka
Case #7: Yuwgna
Case #8: Yuwgna
Case #9: Iaka
Case #10: Iaka
Case #11: Yuwgna
Case #12: Yuwgna
Case #13: Iaka
Case #14: Yuwgna
Case #15: Iaka
Case #16: Iaka

Source

Language: 
Theme: 
Share Code? 

Powered by NB231 | Current Style: .