Contains Duplicate III LeetCode Solution

Problem – Contains Duplicate III

Given an integer array nums and two integers k and t, return true if there are two distinct indices i and j in the array such that abs(nums[i] - nums[j]) <= t and abs(i - j) <= k.

Example 1:

Input: nums = [1,2,3,1], k = 3, t = 0
Output: true

Example 2:

Input: nums = [1,0,1,1], k = 1, t = 2
Output: true

Example 3:

Input: nums = [1,5,9,1,5,9], k = 2, t = 3
Output: false

Constraints:

• 1 <= nums.length <= 2 * 104
• -231 <= nums[i] <= 231 - 1
• 0 <= k <= 104
• 0 <= t <= 231 - 1

Contains Duplicate III LeetCode Solution in Python

def containsNearbyAlmostDuplicate(self, nums, k, t):
    if t < 0: return False
    n = len(nums)
    d = {}
    w = t + 1
    for i in xrange(n):
        m = nums[i] / w
        if m in d:
            return True
        if m - 1 in d and abs(nums[i] - d[m - 1]) < w:
            return True
        if m + 1 in d and abs(nums[i] - d[m + 1]) < w:
            return True
        d[m] = nums[i]
        if i >= k: del d[nums[i - k] / w]
    return False

Contains Duplicate III LeetCode Solution in Java

private long getID(long i, long w) {
    return i < 0 ? (i + 1) / w - 1 : i / w;
}

public boolean containsNearbyAlmostDuplicate(int[] nums, int k, int t) {
    if (t < 0) return false;
    Map<Long, Long> d = new HashMap<>();
    long w = (long)t + 1;
    for (int i = 0; i < nums.length; ++i) {
        long m = getID(nums[i], w);
        if (d.containsKey(m))
            return true;
        if (d.containsKey(m - 1) && Math.abs(nums[i] - d.get(m - 1)) < w)
            return true;
        if (d.containsKey(m + 1) && Math.abs(nums[i] - d.get(m + 1)) < w)
            return true;
        d.put(m, (long)nums[i]);
        if (i >= k) d.remove(getID(nums[i - k], w));
    }
    return false;
}

Contains Duplicate III LeetCode Solution in C++

class Solution {
public:
    bool containsNearbyAlmostDuplicate(vector<int>& nums, int k, int t) {
        int n = nums.size();
        
        if(n == 0 || k < 0  || t < 0) return false;
        
        unordered_map<int,int> buckets;
        
        for(int i=0; i<n; ++i) {
            int bucket = nums[i] / ((long)t + 1);
            
			// For negative numbers, we need to decrement bucket by 1
			// to ensure floor division.
			// For example, -1/2 = 0 but -1 should be put in Bucket[-1].
			// Therefore, decrement by 1.
            if(nums[i] < 0) --bucket;
            
            if(buckets.find(bucket) != buckets.end()) return true;
            else {
                buckets[bucket] = nums[i];
                if(buckets.find(bucket-1) != buckets.end() && (long) nums[i] - buckets[bucket-1] <= t) return true;
                if(buckets.find(bucket+1) != buckets.end() && (long) buckets[bucket+1] - nums[i] <= t) return true;
                
                if(buckets.size() > k) {
                    int key_to_remove = nums[i-k] / ((long)t + 1);
                    
                    if(nums[i-k] < 0) --key_to_remove;
                    
                    buckets.erase(key_to_remove);
                }
            }
        }
        
        return false;
    }
};

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