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

题目:

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

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

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

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

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

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

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

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

    public static int bucket(int num, int len, int max, int min) {
        
      //这里是一个大坑,不能写成(
(num - min)/ (max - min))*len

      return (int) ((num - min) * len / (max - min)); }
原文地址:https://www.cnblogs.com/figsprite/p/10672718.html