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package g0201_0300.s0220_contains_duplicate_iii;

// #Medium #Array #Sorting #Sliding_Window #Ordered_Set #Bucket_Sort
// #2022_07_02_Time_38_ms_(80.90%)_Space_54.1_MB_(52.01%)

import java.util.HashMap;
import java.util.Map;

/**
 * 220 - Contains Duplicate III\.
 *
 * Medium
 *
 * 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
**/
public class Solution {
    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 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;
    }
}




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