A naukri.com initiative
Dev
3d
349
Image Credit: Dev
2929. Distribute Candies Among Children II
- The problem involves distributing n candies among 3 children such that each child gets no more than limit candies.
- By using combinatorial mathematics and the inclusion-exclusion principle, the total ways can be calculated efficiently.
- The approach requires determining valid solutions by considering constraints on the distribution of candies.
- The solution subtracts invalid distributions and adds back certain cases to compute the final result.
- Efficiency is achieved by avoiding brute-force iteration and utilizing combinatorial formulas for large n and limit values.
- A PHP implementation of this solution is provided, calculating the distribution of candies among 3 children.
- The algorithm uses a helper function and mathematical formulas to determine the number of valid distributions.
- The result is obtained by combining terms that account for different scenarios in the distribution process.
- The method ensures optimal time complexity by efficiently handling cases where the children's candy limits are not exceeded.
- The approach presented optimally solves the problem of candy distribution among children with constraints on candy limits.
Read Full Article
21 Likes
For uninterrupted reading, download the app