Leetcode Problem 164. Maximum Gap

164. Maximum Gap

Leetcode Solutions

Buckets and The Pigeonhole Principle

  1. Find the minimum and maximum values in the array.
  2. Calculate the bucket size using the formula bucketSize = max(1, (max - min) / (n - 1)).
  3. Calculate the number of buckets needed using the formula numBuckets = (max - min) / bucketSize + 1.
  4. Initialize buckets to store the minimum and maximum values of elements that fall into each bucket.
  5. Iterate through the array, placing each element into the corresponding bucket based on its value.
  6. Initialize maxGap to 0.
  7. Iterate through the buckets, updating maxGap with the difference between the minimum value of the current bucket and the maximum value of the previous bucket, if it's larger than the current maxGap.
  8. Return maxGap.
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