diff --git a/notes/Leetcode 题解.md b/notes/Leetcode 题解.md index 73d7cfe5..d23a2e44 100644 --- a/notes/Leetcode 题解.md +++ b/notes/Leetcode 题解.md @@ -578,21 +578,83 @@ public String findLongestWord(String s, List d) { ### ¶ÑÅÅÐò -¶ÑÅÅÐòÓÃÓÚÇó½â **TopK Elements** ÎÊÌ⣬ͨ¹ýά»¤Ò»¸ö´óСΪ K µÄ¶Ñ£¬¶ÑÖеÄÔªËØ¾ÍÊÇ TopK Elements¡£µ±È»ËüÒ²¿ÉÒÔÓÃÓÚÇó½â Kth Element ÎÊÌ⣬ÒòΪ×îºó³ö¶ÑµÄÄǸöÔªËØ¾ÍÊÇ Kth Element¡£¿ìËÙÑ¡ÔñÒ²¿ÉÒÔÇó½â TopK Elements ÎÊÌ⣬ÒòΪÕÒµ½ Kth Element Ö®ºó£¬ÔÙ±éÀúÒ»´ÎÊý×飬ËùÓÐСÓÚµÈÓÚ Kth Element µÄÔªËØ¶¼ÊÇ TopK Elements¡£¿ÉÒÔ¿´µ½£¬¿ìËÙÑ¡ÔñºÍ¶ÑÅÅÐò¶¼¿ÉÒÔÇó½â Kth Element ºÍ TopK Elements ÎÊÌ⣬ֻÊÇÓпÉÄÜÐèÒª¼ä½ÓÇó½â¡£ +¶ÑÅÅÐòÓÃÓÚÇó½â **TopK Elements** ÎÊÌ⣬ͨ¹ýά»¤Ò»¸ö´óСΪ K µÄ¶Ñ£¬¶ÑÖеÄÔªËØ¾ÍÊÇ TopK Elements¡£µ±È»ËüÒ²¿ÉÒÔÓÃÓÚÇó½â Kth Element ÎÊÌ⣬ÒòΪ×îºó³ö¶ÑµÄÄǸöÔªËØ¾ÍÊÇ Kth Element¡£¿ìËÙÑ¡ÔñÒ²¿ÉÒÔÇó½â TopK Elements ÎÊÌ⣬ÒòΪÕÒµ½ Kth Element Ö®ºó£¬ÔÙ±éÀúÒ»´ÎÊý×飬ËùÓÐСÓÚµÈÓÚ Kth Element µÄÔªËØ¶¼ÊÇ TopK Elements¡£¿ÉÒÔ¿´µ½£¬¿ìËÙÑ¡ÔñºÍ¶ÑÅÅÐò¶¼¿ÉÒÔÇó½â Kth Element ºÍ TopK Elements ÎÊÌâ¡£ **Kth Element** [Leetocde : 215. Kth Largest Element in an Array (Medium)](https://leetcode.com/problems/kth-largest-element-in-an-array/description/) -½âÌâ²Î¿¼£º[Solution explained](https://leetcode.com/problems/kth-largest-element-in-an-array/discuss/60294/Solution-explained) +**ÅÅÐò**£ºÊ±¼ä¸´ÔÓ¶È O(nlgn)£¬¿Õ¼ä¸´ÔÓ¶È O(1) ½â·¨ -- ʱ¼ä¸´ÔÓ¶È O(nlgn)£¬¿Õ¼ä¸´ÔÓ¶È O(1) ½â·¨£ºÅÅÐò -- ʱ¼ä¸´ÔÓ¶È O(nlgk)£¬¿Õ¼ä¸´ÔÓ¶È O(k) ½â·¨£º¶ÑÅÅÐò -- ʱ¼ä¸´ÔÓ¶È O(n)£¬¿Õ¼ä¸´ÔÓ¶È O(1) ½â·¨£ºQuickSelect +```java +public int findKthLargest(int[] nums, int k) { + int N = nums.length; + Arrays.sort(nums); + return nums[N - k]; +} +``` -**ToK Elements** +**¶ÑÅÅÐò**£ºÊ±¼ä¸´ÔÓ¶È O(nlgk)£¬¿Õ¼ä¸´ÔÓ¶È O(k) -[³ÌÐòÔ±´úÂëÃæÊÔÖ¸ÄÏ P336](#) +```java +public int findKthLargest(int[] nums, int k) { + PriorityQueue pq = new PriorityQueue<>(); + for(int val : nums) { + pq.offer(val); + if(pq.size() > k) { + pq.poll(); + } + } + return pq.peek(); +} +``` + +**¿ìËÙÑ¡Ôñ**£ºÊ±¼ä¸´ÔÓ¶È O(n)£¬¿Õ¼ä¸´ÔÓ¶È O(1) + +```java +public int findKthLargest(int[] nums, int k) { + k = nums.length - k; + int lo = 0; + int hi = nums.length - 1; + while (lo < hi) { + final int j = partition(nums, lo, hi); + if(j < k) { + lo = j + 1; + } else if (j > k) { + hi = j - 1; + } else { + break; + } + } + return nums[k]; + } + + private int partition(int[] a, int lo, int hi) { + int i = lo; + int j = hi + 1; + while(true) { + while(i < hi && less(a[++i], a[lo])); + while(j > lo && less(a[lo], a[--j])); + if(i >= j) { + break; + } + exch(a, i, j); + } + exch(a, lo, j); + return j; + } + + private void exch(int[] a, int i, int j) { + final int tmp = a[i]; + a[i] = a[j]; + a[j] = tmp; + } + + private boolean less(int v, int w) { + return v < w; + } +} +``` ### ͰÅÅÐò