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medium
DP

Unique Paths

**Problem Statement:** Given the required input arguments, write an efficient algorithm to solve the **Unique Paths** problem. Implement the required logic as specified by standard definitions for this classic algorithmic challenge. **Hint / Expected Approach:** dp[i][j] = dp[i-1][j] + dp[i][j-1] **Edge Cases to Consider:** - (1) 1×1 grid - (2) Single row or column - (3) Very large m×n

Examples

Example 1
Input: 3, 7
Output: 28
Example 2
Input: 3, 2
Output: 3
Example 3
Input: 7, 3
Output: 28

Constraints

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

Watch Out For Edge Cases

  • ▪1×1 grid
  • ▪Single row or column
  • ▪Very large m×n
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