**Predict the Winner ** 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:falseExplanation: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:trueExplanation: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] <= 10`

^{7}

### Predict the Winner Solutions

✅**Time:** O(n)

✅**Space:** O(n)

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