---------- 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 ```