War for Middle-earth

War is about to break out in Middle-earth. Gandalf has raised an army to stand against Sauron, and many races have joined it. Before the war begins, Gandalf assigns a score to each race.

The scores of the races in Gandalf's army are:

The scores of the races in Sauron's army are:

Middle-earth is a mysterious place, so the outcome of each battle is not affected by weather, terrain, or valor. Add up the scores of every race that takes part in a battle; the side with the larger total wins.

Given the number of each race that participates in a battle, write a program that determines which side wins.

The first line contains the number of battles $T$. Each battle consists of two lines.

The first line lists the number of each race in Gandalf's army, separated by spaces, in the order Hobbit, Human, Elf, Dwarf, Eagle, Wizard.

The second line lists the number of each race in Sauron's army, separated by spaces, in the order Orc, Human, Warg, Goblin, Uruk-hai, Troll, Wizard.

Every value is a non-negative integer, and each army's total score does not exceed the range of a 32-bit integer.

For each battle, print Battle followed by the battle number. Then print Good triumphs over Evil if Gandalf's army wins, Evil eradicates all trace of Good if Sauron's army wins, or No victor on this battle field if the totals are equal and neither side wins.

The output format for each battle is Battle <number>: <result>.