mediumRecursionPattern: Mixed
Wormhole Route Combinations Solution
Problem Statement
Given a target distance of 27 units, determine the total number of distinct routes that can be formed by taking either a single unit or a pair of units at a time.
Examples
Example 1:
Input:27
Output:196418
Explanation: This is the 27th Fibonacci number, which represents the number of distinct routes a spaceship can take to travel to a planet that is 27 wormholes away from Earth.
Constraints
- Input will be a positive integer
- Input will not exceed 40
Time: O(n) Space: O(n)
The optimal approach uses dynamic programming to store and reuse the results of sub-problems, reducing the time complexity to linear and making it efficient for larger inputs.
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