Distribute Candies to People - Math - Easy - LeetCode
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Distribute Candies to People - Math - Easy - LeetCode

2 min read 331 words
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  • 1The candy distribution process involves giving increasing amounts of candies to each person in a cyclic manner until candies run out.
  • 2The last person receives any remaining candies, which may not follow the standard increasing pattern.
  • 3The algorithm has a time complexity of O(n) and a space complexity of O(n), making it efficient for the given constraints.

AI-generated summary · May not capture all nuances

Key Insight
AskGif

"The candy distribution process involves giving increasing amounts of candies to each person in a cyclic manner until candies run out."

Distribute Candies to People - Math - Easy - LeetCode

We distribute some number of candies, to a row of n = num_people people in the following way:

We then give 1 candy to the first person, 2 candies to the second person, and so on until we give n candies to the last person.

Then, we go back to the start of the row, giving n + 1 candies to the first person, n + 2 candies to the second person, and so on until we give 2 * n candies to the last person.

This process repeats (with us giving one more candy each time, and moving to the start of the row after we reach the end) until we run out of candies. The last person will receive all of our remaining candies (not necessarily one more than the previous gift).

Return an array (of length num_people and sum candies) that represents the final distribution of candies.

Example 1:

Input: candies = 7, num_people = 4 Output: [1,2,3,1] Explanation: On the first turn, ans[0] += 1, and the array is [1,0,0,0]. On the second turn, ans[1] += 2, and the array is [1,2,0,0]. On the third turn, ans[2] += 3, and the array is [1,2,3,0]. On the fourth turn, ans[3] += 1 (because there is only one candy left), and the final array is [1,2,3,1]. Example 2:

Input: candies = 10, num_people = 3 Output: [5,2,3] Explanation: On the first turn, ans[0] += 1, and the array is [1,0,0]. On the second turn, ans[1] += 2, and the array is [1,2,0]. On the third turn, ans[2] += 3, and the array is [1,2,3]. On the fourth turn, ans[0] += 4, and the final array is [5,2,3].

Constraints:

1 <= candies <= 10^9 1 <= num_people <= 1000

public class Solution {
 public int[] DistributeCandies(int candies, int num_people) {
 int num = 1;
 int i=0;
 var res = new int[num_people];
 while(candies>0){
 res[i]+=Math.Min(num,candies);
 candies-=num;
 i++;
 num++;
 if(i==num_people){
 i=0;
 }
 }
 return res;
 }
}

Time Complexity: O(n)

Space Complexity: O(n)

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sumitc91

Published on 1 October 2020 · 2 min read · 331 words

Part of AskGif Blog · coding

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