Who won a Game of Bar Dice? Challenge

Bar Dice is a simple game played in a Bar with Dice (hence the name). You roll 5 six-sided dice and attempt to make the best hand. 


  Scoring is based on amassing the largest number of dice with the same digits. Each hand must include at least a single "Ace", or one, in order to be a valid hand; Aces act as "wilds", and can be paired with any other digit. The strength of a player's hand depends first on the number of digits and then value of those digits. As an example, a hand (counting wilds) with four 3's is better than a hand with three 5's, but not better than a hand with five 2's.
  Taken from the Wikipedia article


This means the highest ranked hand is made entirely of 6's and 1's, and the lowest ranked is any hand without a 1. 

Your challenge is to take two hands and return which player won, or if they tied.

Input

Two unsorted lists of 5 numbers, ranging from 1 to 6. Each list represents a player's hand. The input format is flexible.

Output

Any three distinct but consistent, static values (ranges are not allowed) signifying whether player 1 or player 2 won, or if it was a tie. Please state in your answer what values you are using for what. For example, you can return -1 if P1 wins, 0 if it's a tie, and 1 if P2 wins.

Rules


Input will always be valid
Only the best possible score of each hand is used to determine a winner. There are no tie-breakers. E.g., [1,4,4,3,3] will tie [1,4,4,2,2] instead of using the 3's and 2's as a tie-breaker.
Output must be one of the 3 chosen values every time. Simply mapping all negative numbers to P1 Wins is not allowed and must be normalized.
Invalid hands, i.e. those with no 1's, lose to all valid hands but tie with all other invalid hands. E.g., [2,2,2,2,2] ties [3,3,3,3,3].
A hand of [1,1,1,1,1] counts as a valid set of 6's for ranking purposes.
This is code-golf so shortest byte count wins.


Examples

#You guys are pretty good at finding edge-cases that break things. Good job!
Input:  [2,1,5,6,6], [6,2,6,6,6]
Output: P1 Wins

Input:  [2,4,5,6,6], [6,2,6,6,6]
Output: Tie

Input:  [1,2,3,4,5], [5,4,3,2,1]
Output: Tie

Input:  [1,5,5,3,2], [5,4,1,6,6]
Output: P2 Wins

Input:  [3,2,2,2,1], [4,1,3,6,6]
Output: P1 Wins

Input:  [1,1,1,1,1], [6,1,1,6,6]
Output: Tie

Input:  [1,3,3,4,4], [1,2,2,5,5]
Output: P2 Wins

Input:  [1,3,3,5,5], [1,3,3,2,2]
Output: P1 Wins

Input:  [1,3,3,3,4], [1,1,3,3,3]
Output: P2 Wins

Input:  [2,2,2,6,1], [5,3,3,1,2]
Output: P1 Wins

Input:  [5,5,5,1,5], [1,1,1,1,1]
Output: P2 Wins

Input:  [1,1,1,1,1], [1,1,5,1,1]
Output: P1 Wins
Jelly, 17 14 bytes

ċⱮ6Ḣ©+$®aĖUṀ)M


Try it online!

A monadic link that takes a list of the two lists as its argument and returns [1] for player 1 wins, [2] for player 2 wins and [1, 2] for a tie. TIO link tidies this up for display. 

Thanks to @JonathanAllan for saving 3 bytes!

Explanation

            )   | For each input list (e.g. of one list 1,1,3,3,4)
ċⱮ6             | - Count each of 1..6 (e.g. 2,0,2,1,0,0)
      $         | - Following as a monad:
   Ḣ            |   - Head (number of 1s)
    ©︎           |   - Copy to register
     +          |   - Add (e.g. 2,4,3,0,0)
       ®a       | - Register logical and with this
         Ė      | - Enumerate (e.g. [1,2],[2,4],[3,3],[4,0],[5,0])
          U     | - Reverse each (e.g. [2,1],[4,2],[3,3],[0,4],[0,5])
            Ṁ   | - Max (e.g. 4,2)
              M | Index/indices of maximal score