Kata

Variation of this nice kata, the war has expanded and become dirtier and meaner; both even and odd numbers will fight with their pointy 1s. And negative integers are coming into play as well, with, ça va sans dire, a negative contribution (think of them as spies or saboteurs).

A number's strength is determined by the number of set bits (1s) in its binary representation. Negative integers work against their own side so their strength is negative. For example -5 = -101 has strength -2 and +5 = +101 has strength +2.

The side with the largest cumulated strength wins.

Again, three possible outcomes: odds win, evens win and tie.

Examples:

[1,5,12]    => "odds win"  //   1 + 101 vs 1100,         3 vs 2
[7,-3,20]   => "evens win" // 111 - 11  vs 10100,    3 - 2 vs 2
[7,-3,-2,6] => "tie"       // 111 - 11  vs -1 + 110,  3 - 2 vs -1 + 2