给定一个数组,求如果排序之后,相邻两数的最大差值,要求时间复杂度O(N),且要求不能用非基于比较的排序。

给定一个数组,求如果排序之后,相邻两数的最大差值,要求时间复杂度O(N),且要求不能用非基于比较的排序。

import java.util.Arrays;

public class MaximumDifferenceBetweenAdjacentNumbers{
        public static int maxGap(int[] nums){
                if (nums == null || nums.length < 2) {
                        return 0;
                }

                int len = nums.length;
                int min = Integer.MAX_VALUE;
                int max = Integer.MIN_VALUE;

                for (int i = 0; i < len; i++){
                        min = Math.min(min, nums[i]);
                        max = Math.max(max, nums[i]);
                }

                if (min == max){
                        return 0;
                }

                int bid = 0;
                int[] maxs = new int[len + 1];
                int[] mins = new int[len + 1];
                boolean[] hasNum = new boolean[len + 1];

                for (int i = 0; i < len; i++) {
                        bid = bucket(nums[i], len, min, max);
                        mins[bid] = hasNum[bid] ? Math.min(mins[bid], nums[i]) : nums[i];
                        maxs[bid] = hasNum[bid] ? Math.max(maxs[bid], nums[i]) : nums[i];
                        hasNum[bid] = true;
                }

                int res = 0;
                int lastMax = maxs[0];
                for (int i = 1; i < len + 1; i++) {
                        if (hasNum[i]){
                                res = Math.max(res, mins[i] - lastMax);
                                lastMax = maxs[i];
                        }
                }

                return res;
        }

        public static int bucket(long num, long len, long min, long max) {
                return (int)((num - min) * len / (max - min));
        }

        public static int comparator(int[] nums) {
                if(nums == null || nums.length < 2) {
                        return 0;
                }

                Arrays.sort(nums);

                int res = Integer.MIN_VALUE;
                for (int i = 1; i < nums.length; i++) {
                        res = Math.max(res, nums[i] - nums[i - 1]);
                }

                return res;
        }

        public static int[] generateRandomArray(int maxSize, int maxValue) {
                int[] arr = new int[(int) ((maxSize+1) * Math.random())];

                for (int i = 0; i < arr.length; i++) {
                        arr[i] = (int)((maxValue+1) * Math.random()) - (int) (maxValue) * Math.random();
                }

                return arr;
        }

        public static int[] copyArray(int[] arr) {
                if (arr == null) {
                        return null;
                }

                int[] res = new int[arr.length];
                for (int i = 0; i < arr.length; i++) {
                        res[i] = arr[i];
                }
                return res;
        }

        public static void main(String[] args) {
                boolean succeed = true;
                int testTime = 700000, maxSize = 100, maxValue = 100;

                for (int i = 0; i < testTime; i++) {
                        int[] arr1 = generateRandomArray(maxSize, maxValue);
                        int[] arr2 = copyArray(arr1);

                        if (maxGap(arr1) != comparator(arr2)) {
                                succeed = false;
                                break;
                        }
                }

                System.out.println(succeed ? "Nice!" : "Fucking fucked!");
        }
}
原文地址:https://www.cnblogs.com/AlexKing007/p/12338083.html