Name PK

Time Limit: 1000 ms Memory Limit: 65536 KiB

Problem Description

Name PK is a funny game on the Internet. The game will calculate character's property based on its name.
Now we're simulating a simple Name PK game. Each character has 3 parameters: HP, STR and SPD (HP for health point, STR for strength and SPD for attacking speed).

For a name string of length N, Ci is ASCII code (decimal) of the i-th char. 



PK rule:
1. Timer begins to increase from 1. When it is a multiple of (20-SPD), the corresponding character A has that SPD attack once, the opposite lose STR(A's) HP.
2. When any side has a HP ≤ 0, the PK is over.

Input

The input consists of several test cases. The first line of input consists of an integer T, indicating the number of test cases. Each test case is on a separate line, and it consists two strings separated by a whitespace, indicating the name of the characters.

Technical Specification
1. Names contain only English letters.
2. The length of each character's name is more than 1 and no more than 20.
3. T ≤ 1000.

Output

For each test case, output a line consisting of the result of the first character: "win", "lose" or "tie".

Sample Input

3
Sylvia xay
Ivan Stacy
Boyd Greg

Sample Output

lose
win
lose

Hint

Source

The 4th Baidu Cup Central China Invitational Programming Contest WHU