Check for edge cases where the first player can win immediately or where no one can win.
Use a bitmask to represent the set of integers that have been chosen.
Implement a recursive function that simulates the game. The function should take the current bitmask and the current total as arguments.
In the recursive function, iterate over all possible choices of integers that have not been chosen yet.
For each choice, calculate the new total and the new bitmask.
If the new total is greater than or equal to the desired total, return true as the current player wins.
Otherwise, recursively call the function with the opponent's perspective (i.e., if the opponent cannot win with the new state, the current player wins).
Use a memorization map to store the results of subproblems.
The initial call to the recursive function will be with a bitmask of 0 (no integers chosen) and a total of 0.