LeetCode有序数组的几个问题

关于我的 Leetcode 题目解答,代码前往 Github:https://github.com/chenxiangcyr/leetcode-answers


LeetCode题目:228. Summary Ranges
Given a sorted integer array without duplicates, return the summary of its ranges.

Example 1:
Input: [0,1,2,4,5,7]
Output: ["0->2","4->5","7"]

Example 2:
Input: [0,2,3,4,6,8,9]
Output: ["0","2->4","6","8->9"]

class Solution {
    public List summaryRanges(int[] nums) {
        List summary = new ArrayList<>();
        
        int left = 0;
        for (int i = 0; i < nums.length; i++) {
            if (i + 1 < nums.length && nums[i + 1] == nums[i] + 1) {
                continue;
            }
            
            if (left == i) {
                summary.add(nums[left] + "");
            }
            else {
                summary.add(nums[left] + "->" + nums[i]);
            }
            
            left = i + 1;
        }
        
        return summary;
    }
}

LeetCode题目:163. Missing Ranges
Given a sorted integer array where the range of elements are in the inclusive range [lower, upper], return its missing ranges.

For example, given [0, 1, 3, 50, 75], lower = 0 and upper = 99, return ["2", "4->49", "51->74", "76->99"].

class Solution {
    public List findMissingRanges(int[] nums, int lower, int upper) {
        List list = new ArrayList();
        
        if(nums == null) return list;
        
        int n = nums.length;
        for(int i = 0; i <= n; i++) {
            long lt = (i == 0) ? lower : (long)nums[i - 1] + 1;
            long gt = (i == n) ? upper : (long)nums[i] - 1;
            addRange(list, lt, gt);
        }
        return list;
    }
    
    private void addRange(List list, long lo, long hi) {
        if(lo > hi) return;
        else if(lo == hi) list.add(String.valueOf(lo));
        else list.add(lo + "->" + hi);
    }
}

LeetCode题目:4. Median of Two Sorted Arrays
There are two sorted arrays nums1 and nums2 of size m and n respectively.

Find the median of the two sorted arrays. The overall run time complexity should be O(log (m+n)).

Example 1:
nums1 = [1, 3]
nums2 = [2]
The median is 2.0

Example 2:
nums1 = [1, 2]
nums2 = [3, 4]
The median is (2 + 3)/2 = 2.5

思路参考 https://leetcode.com/articles/median-of-two-sorted-arrays/

class Solution {
    public double findMedianSortedArrays(int[] A, int[] B) {
        int m = A.length;
        int n = B.length;
        
        // 确保数组A长度小于等于数组B长度m <= n,因此确保 j 不会为负数
        if (m > n) {
            int[] temp = A;
            A = B;
            B = temp;
            
            int tmp = m;
            m = n;
            n = tmp;
        }
        
        int iMin = 0;
        int iMax = m;
        int halfLen = (m + n + 1) / 2;
        
        while (iMin <= iMax) {
            // 初始从数组A的中间分隔
            int i = (iMin + iMax) / 2;
            
            // 确保条件1:`i + j == m + n - i - j`
            int j = halfLen - i;
            
            // i 太小,j 太大
            if (i < iMax && B[j-1] > A[i]) {
                iMin = iMin + 1;
            }
            // i 太大,j 太小
            else if (i > iMin && A[i-1] > B[j]) {
                iMax = iMax - 1;
            }
            // 确保条件2:`A[i - i] <= B[j] && B[j - 1] <= A[i]`
            else {
                // 找到左边集合最大的数
                int maxLeft = 0;
                if (i == 0) {
                    maxLeft = B[j-1];
                }
                else if (j == 0) {
                    maxLeft = A[i-1];
                }
                else {
                    maxLeft = Math.max(A[i-1], B[j-1]);
                }
                
                // 总共有奇数个数字,直接返回中间的数字
                if ( (m + n) % 2 == 1 ) {
                    return maxLeft;
                }

                // 找到右边集合最小的数
                int minRight = 0;
                if (i == m) {
                    minRight = B[j];
                }
                else if (j == n) {
                    minRight = A[i];
                }
                else {
                    minRight = Math.min(B[j], A[i]);
                }

                // 总共有偶数个数字,返回中间的数字的平均数
                return (maxLeft + minRight) / 2.0;
            }
        }
        
        return 0.0;
    }
}

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