find the kth smallest key in a map in javascript

To find the kth smallest key in a map, we can follow the below steps:

Extract all the keys from the map into an array.
Sort the array in ascending order.
Return the element at index k-1 in the sorted array, which is the kth smallest key.

Here's the code implementation:


index.tsx
function getKthSmallestKey(map, k) {
  const keys = Array.from(map.keys()); // extract keys from map
  keys.sort((a, b) => a - b); // sort in ascending order
  return keys[k - 1]; // return kth smallest key
}
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However, this approach has a time complexity of O(n log n) due to the sorting operation. If we want to achieve a better time complexity, we can use a binary search algorithm.

Here's the optimized code implementation using binary search:


index.tsx
function getKthSmallestKey(map, k) {
  const keys = Array.from(map.keys()); // extract keys from map
  let left = 0;
  let right = keys.length - 1;

  while (left <= right) {
    const mid = Math.floor((left + right) / 2);
    const count = 0;
    for (const key of map.keys()) {
      if (key <= keys[mid]) {
        count++;
      }
    }
    if (count === k) {
      return keys[mid];
    } else if (count < k) {
      left = mid + 1;
    } else {
      right = mid - 1;
    }
  }
}
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This approach has a time complexity of O(n log max) where n is the number of keys in the map and max is the maximum key value in the map.

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