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DP

Stone Game / Can Win DP

**Problem Statement:** Given the required input arguments, write an efficient algorithm to solve the **Stone Game / Can Win DP** problem. Implement the required logic as specified by standard definitions for this classic algorithmic challenge. **Hint / Expected Approach:** Minimax or interval DP **Edge Cases to Consider:** - (1) Single stone - (2) Equal piles - (3) Both players optimal

Examples

Example 1
Input: [5,3,4,5]
Output: true
Explanation: Alice always wins
Example 2
Input: [3,7,2,3]
Output: true
Explanation: Alice wins
Example 3
Input: [1,1]
Output: true
Explanation: Equal, Alice wins

Constraints

  • ▪Input arguments are within valid ranges
  • ▪Optimize for execution speed
  • ▪Handle null/empty inputs gracefully

Watch Out For Edge Cases

  • ▪Single stone
  • ▪Equal piles
  • ▪Both players optimal
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