Added 1431-kids-with-the-greatest-number-of-candies

Author: Saipradyumnagoud

dsa-solutions/lc-solutions/1400-1499/1431-kids-with-the-greatest-number-of-candies.md

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+---
+id: kids-with-the-greatest-number-of-candies
+title: Kids With the Greatest Number of Candies
+level: easy
+sidebar_label: Kids With the Greatest Number of Candies
+tags:
+  - Array
+  - Greedy
+  - Java
+description: "This document provides solutions for the Kids With the Greatest Number of Candies problem."
+---
+
+## Problem Statement
+
+There are `n` kids with candies. You are given an integer array `candies`, where each `candies[i]` represents the number of candies the ith kid has, and an integer `extraCandies`, denoting the number of extra candies that you have.
+
+Return a boolean array `result` of length `n`, where `result[i]` is `true` if, after giving the ith kid all the `extraCandies`, they will have the greatest number of candies among all the kids, or `false` otherwise.
+
+**Example 1:**
+
+Input: `candies = [2,3,5,1,3]`, `extraCandies = 3`
+
+Output: `[true,true,true,false,true]`
+
+Explanation: If you give all `extraCandies` to:
+- Kid 1, they will have `2 + 3 = 5` candies, which is the greatest among the kids.
+- Kid 2, they will have `3 + 3 = 6` candies, which is the greatest among the kids.
+- Kid 3, they will have `5 + 3 = 8` candies, which is the greatest among the kids.
+- Kid 4, they will have `1 + 3 = 4` candies, which is not the greatest among the kids.
+- Kid 5, they will have `3 + 3 = 6` candies, which is the greatest among the kids.
+
+**Example 2:**
+
+Input: `candies = [4,2,1,1,2]`, `extraCandies = 1`
+
+Output: `[true,false,false,false,false]`
+
+Explanation: There is only `1` extra candy.
+Kid 1 will always have the greatest number of candies, even if a different kid is given the extra candy.
+
+**Example 3:**
+
+Input: `candies = [12,1,12]`, `extraCandies = 10`
+
+Output: `[true,false,true]`
+
+**Constraints:**
+
+- `n == candies.length`
+- `2 <= n <= 100`
+- `1 <= candies[i] <= 100`
+- `1 <= extraCandies <= 50`
+
+## Solutions
+
+### Approach
+
+To determine if each kid can have the greatest number of candies after receiving `extraCandies`, follow these steps:
+
+1. **Find the Maximum Candies:**
+   - Traverse through the `candies` array to find the maximum number of candies any kid currently has.
+
+2. **Check Each Kid's Condition:**
+   - Iterate through the `candies` array again.
+   - For each kid, check if adding `extraCandies` to their current candies makes their total candies equal to or greater than the maximum number found.
+   - Store `true` if the condition is met, otherwise store `false`.
+
+### Java 
+
+```java
+
+class Solution {
+    public List<Boolean> kidsWithCandies(int[] candies, int extraCandies) {
+        int maxCandies = 0;
+        for (int candy : candies) {
+            maxCandies = Math.max(maxCandies, candy);
+        }
+        
+        List<Boolean> result = new ArrayList<>();
+        for (int candy : candies) {
+            result.add(candy + extraCandies >= maxCandies);
+        }
+        
+        return result;
+    }
+
+}
+```
+
+### Python 
+```Python
+class Solution:
+    def kidsWithCandies(self, candies: List[int], extraCandies: int) -> List[bool]:
+        maxCandies = max(candies)
+        result = []
+        
+        for candy in candies:
+            result.append(candy + extraCandies >= maxCandies)
+        
+        return result
+```