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  • Product of Array Except Self

    Given an array of n integers where n > 1, nums, return an array output such that output[i] is equal to the product of all the elements of nums except nums[i].

    Solve it without division and in O(n).

    For example, given [1,2,3,4], return [24,12,8,6].

    Follow up:
    Could you solve it with constant space complexity? (Note: The output array does not count as extra space for the purpose of space complexity analysis.)

    public class Solution {
        public int[] productExceptSelf(int[] nums) 
        {
            int[] a = new int[nums.length];
            int[] b = new int[nums.length];
            int[] res = new int[nums.length];
            
            a[0] = 1;
            for(int i=1;i<nums.length;i++)
            {
                a[i] = a[i-1]*nums[i-1];
            }
            
            b[nums.length-1] = 1;
            for(int j=nums.length-2;j>=0;j--)
            {
                b[j] = b[j+1]*nums[j+1];
            }
            
            for(int s=0;s<nums.length;s++)
            {
                res[s] = a[s]*b[s];
                
            }
            return res;
        }
    }

    Follow up:
    Could you solve it with constant space complexity? (Note: The output array does not count as extra space for the purpose of space complexity analysis.)

    public class Solution {
        public int[] productExceptSelf(int[] nums) 
        {
            //first pass, {1,1,2,6}
            //second pass, {24,12,4,1}
            int[] res = new int[nums.length];
            res[0] = 1;
            for(int i=1; i< nums.length;i++)
            {
                res[i] = res[i-1]*nums[i-1];
            }
            int right = 1;
            
            for(int i=nums.length-1;i>=0;i--)
            {
                res[i] *= right;
                right *= nums[i];
            }
            return res;
        }
    }

    reference:https://leetcode.com/discuss/46104/simple-java-solution-in-o-n-without-extra-space

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  • 原文地址:https://www.cnblogs.com/hygeia/p/5085331.html
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