Medium
You are given an integer array nums
. Two players are playing a game with this array: player 1 and player 2.
Player 1 and player 2 take turns, with player 1 starting first. Both players start the game with a score of 0
. At each turn, the player takes one of the numbers from either end of the array (i.e., nums[0]
or nums[nums.length - 1]
) which reduces the size of the array by 1
. The player adds the chosen number to their score. The game ends when there are no more elements in the array.
Return true
if Player 1 can win the game. If the scores of both players are equal, then player 1 is still the winner, and you should also return true
. You may assume that both players are playing optimally.
Example 1:
Input: nums = [1,5,2]
Output: false
Explanation: Initially, player 1 can choose between 1 and 2. If he chooses 2 (or 1), then player 2 can choose from 1 (or 2) and 5. If player 2 chooses 5, then player 1 will be left with 1 (or 2). So, final score of player 1 is 1 + 2 = 3, and player 2 is 5. Hence, player 1 will never be the winner and you need to return false.
Example 2:
Input: nums = [1,5,233,7]
Output: true
Explanation: Player 1 first chooses 1. Then player 2 has to choose between 5 and 7. No matter which number player 2 choose, player 1 can choose 233. Finally, player 1 has more score (234) than player 2 (12), so you need to return True representing player1 can win.
Constraints:
1 <= nums.length <= 20
0 <= nums[i] <= 107
class Solution {
fun predictTheWinner(nums: IntArray): Boolean {
val n = nums.size
val dp = Array(n) { IntArray(n) }
for (i in 0 until n) {
dp[i][i] = nums[i]
}
for (len in 1 until n) {
for (i in 0 until n - len) {
val j = i + len
dp[i][j] = Math.max(nums[i] - dp[i + 1][j], nums[j] - dp[i][j - 1])
}
}
return dp[0][n - 1] >= 0
}
}