LeetCode 1103: Distribute Candies to People Solution

Master LeetCode problem 1103 (Distribute Candies to People), a easy challenge, with our optimized solutions in Java, C++, and Python. Explore detailed explanations, test your code in our interactive editor, and prepare for coding interviews.

1103. Distribute Candies to People

Easy

Math Simulation

Problem Explanation

Explanation:

To solve this problem, we need to distribute a given number of candies to a row of people in a specific manner. We iterate through the people in a cyclic manner, giving each person candies in increasing amounts until we run out of candies. We can determine the number of candies each person receives by simulating the distribution process.

Algorithmic Idea:

Initialize an array to store the final distribution of candies to each person.
Start with 1 candy and distribute candies in a cyclic manner to each person until all candies are distributed.
Keep track of the remaining candies and the index of the current person to whom candies are being distributed.
Update the array with the distributed candies for each person.
Repeat the process until all candies are distributed.

Time Complexity:

The time complexity of this algorithm is O(sqrt(candies)) since we distribute candies in a cyclic manner until all candies are distributed.

Space Complexity:

The space complexity of this algorithm is O(num_people) to store the final distribution of candies.

Solution Code

class Solution {
    public int[] distributeCandies(int candies, int num_people) {
        int[] distribution = new int[num_people];
        int currCandies = 1;
        int index = 0;
        
        while (candies > 0) {
            distribution[index % num_people] += Math.min(currCandies, candies);
            candies -= currCandies;
            currCandies++;
            index++;
        }
        
        return distribution;
    }
}

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