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Gunnar and Emma play a lot of board games at home, so they own many dice that are not normal 6-sided dice. For example they own a die that has $10$ sides with numbers $47, 48, ..., 56$ on it.
There has been a big storm in Stockholm, so Gunnar and Emma have been stuck at home without electricity for a couple of hours. They have finished playing all the games they have, so they came up with a new one.
Each player has $2$ dice which he or she rolls. The player with a bigger sum wins. If both sums are the same, the game ends in a tie.
Given the description of Gunnar’s and Emma’s dice, which player has higher chances of winning?
All of their dice have the following property: each die contains numbers $a, a + 1, ..., b$, where $a$ and $b$ are the lowest and highest numbers respectively on the die. Each number appears exactly on one side, so the die has $b - a + 1$ sides.
# Input
The first line contains four integers $a_1, b_1, a_2, b_2$ that describe Gunnar’s dice. Dice number $i$ contains numbers $a_i, a_i + 1, ..., b_i$ on its sides. You may assume that $1 \le ai \le bi \le 100$ . You can further assume that each die has at least four sides, so $a_i + 3 \le b_i$ .
The second line contains the description of Emma’s dice in the same format.
# Output
Output the name of the player that has higher probability of winning. Output "Tie" if both
players have same probability of winning.
## Sample Input 1
```
1 4 1 4
1 6 1 6
```
## Sample Output 1
```
Emma
```
## Sample Input 2
```
1 8 1 8
1 10 2 5
```
## Sample Output 2
```
Tie
```
## Sample Input 3
```
2 5 2 7
1 5 2 5
```
## Sample Output 3
```
Gunnar
```