swapping-cards

Swapping Cards

Two players draw a pair of numbered cards so that both players can form a 2-digit number. A winner can be decided if one player's number is larger than the other.

However, there is a rule where a player can swap any one of their cards with any one of the other player's cards in a gamble to get a higher number! Note that it is illegal to swap the order of * your own cards*. That means if you draw a 1 then a 9, you cannot swap them to get 91.

Paul's strategy is to always swap his lowest number with the opponent's ten's digit. Return whether this results in Paul winning the round.

• n1 is Paul's number
• n2 is his opponent's number

Worked Example

(41, 79) ➞ true
# Paul's lowest number is 1
# The opponent's ten's digit is 7
# After the swap: 47 > 19
# Paul wins the round

Examples

(41, 98) ➞ true

(12, 28) ➞ true

(67, 53) ➞ false

(77, 54) ➞ false

Notes

• If both of Paul's digits are the same, swap the ten's digit with the opponent's (paul likes to live riskily).
• The cards don't include the number 0.
• 11 <= All numbers <= 99 (excluding numbers containing 0)