RKMINIMA  Guess The Number
Ushio and Tora are always good friends. Ushio always wanted to play with numbers. But Tora is afraid of big numbers. One day Ushio took two distinct integers x,y and calculated their product m. As Ushio doesn't want Tora to get afraid, he wants to choose x and y in such a way that their product remains same but their average p is minimum. Ushio can fight Demons but he is weak in math. help ushio calculating this minimum value of p.
Input
First Line of the input statement will contain an integer T. Each of the next T lines will contain an integer m ( as stated in the problem statement ).
1<=T<=100000
0<=m<=10^13
Output
Print the minimum possible value of p for each testcase. If there's no possible solution then print "Ushio is sad". If there's no lower bound on value of p then print "Tora is fearless".
Note: Average of a and b is the integer division of (a+b)/2.
Example
Input:
3
0
1
2
output:
Tora is fearless
Ushio is sad
1
hide comments
raka143:
20200102 08:48:54
ok I will provide more testcases. But before accusing me please check the submissin status of this problem. 

tarun_28:
20200102 06:13:10
I agree with @nadstratosfer..


raka143:
20200101 21:33:08
@nadstratosfer


raka143:
20200101 21:27:13
@tarun_28


tarun_28:
20200101 20:43:03
Please explain a few test cases:(


nadstratosfer:
20200101 20:06:13
Bullshit. 0 only factors in result for m=0, and when x, y are allowed to be negative the problem is trivial, yet the changed solution gets WA anyway.


raka143:
20200101 19:47:39
Yes I have checked your solution and you are missing something. x*y=m here x and y are "integers" . 

nadstratosfer:
20200101 19:19:48
I can't see anything of significance that was changed. x and y are still distinct divisors of m, p is still an integer division (floor). As division of an integer by 2 cannot be "infinitely long", the "Tora is fearless" case is redundant. I've tested my solution with bruteforce up to 10^7 and for several million of random large values of m.


raka143:
20200101 19:12:29
Problem statement has been changed. There was a mistake. Read the statements and output specifications carefully now. 

nadstratosfer:
20200101 18:06:46
Please verify correctness of testdata. 
Added by:  Raka 
Date:  20200101 
Time limit:  1s 
Source limit:  50000B 
Memory limit:  1536MB 
Cluster:  Cube (Intel G860) 
Languages:  All 
Resource:  2019 GATE exam from IIT 