Leetcode - 624 - Maximum Distance in Arrays

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原文链接：http://www.cnblogs.com/zhang-yd/p/7067175.html

本文介绍了解决LeetCode 624题“数组间的最大距离”的方法。通过扫描给定数组一次，利用最大、次大、最小、次小四个元素进行判断，实现O(n)时间复杂度的解决方案。

Leetcode - 624 - Maximum Distance in Arrays

624. Maximum Distance in Arrays

Given m arrays, and each array is sorted in ascending order. Now you can pick up two integers from two different arrays (each array picks one) and calculate the distance. We define the distance between two integers a and b to be their absolute difference |a-b|. Your task is to find the maximum distance.

Example 1:

Input: 
[[1,2,3],
 [4,5],
 [1,2,3]]
Output: 4
Explanation: 
One way to reach the maximum distance 4 is to pick 1 in the first or third array and pick 5 in the second array.

Note:

Each given array will have at least 1 number. There will be at least two non-empty arrays.
The total number of the integers in all the m arrays will be in the range of [2, 10000].
The integers in the m arrays will be in the range of [-10000, 10000]

题解：

　　　　使用最大，次大，最小，次小这四个元素来判断。扫这个vector一次， O(n) 时间

　　　　其中 max_pt, min_pt 分别记录最大最小取值的位置，若两者一致，则从次大次小中来取得。

class Solution {
public:
    int maxDistance(vector<vector<int>>& arrays) {
        int ed, ans, min_f = 1000, min_s = 1000, max_f = -1000, max_s = -1000, min_pt = -1, max_pt = -1; 
        for(int i=0; i<arrays.size(); ++i){
            if(arrays[i][0] < min_f){
                min_s = min_f; 
                min_f = arrays[i][0]; 
                min_pt = i; 
            }else if(arrays[i][0] < min_s){
                min_s = arrays[i][0]; 
            }
            ed = arrays[i].size() - 1; 
            if(arrays[i][ed] > max_f){
                max_s = max_f; 
                max_f = arrays[i][ed]; 
                max_pt = i; 
            }else if(arrays[i][ed] > max_s){
                max_s = arrays[i][ed]; 
            }
        }
        
        if(max_pt == min_pt){
            ans = max( max_f - min_s, max_s - min_f ); 
        }else{
            ans = max_f - min_f;  
        }
        return ans; 
    }
};

转载于:https://www.cnblogs.com/zhang-yd/p/7067175.html