lc-238


/**
Given an integer array nums, return an array answer such that answer[i] is 
equal to the product of all the elements of nums except nums[i]. 

 The product of any prefix or suffix of nums is guaranteed to fit in a 32-bit 
integer. 

 You must write an algorithm that runs in O(n) time and without using the 
division operation. 

 
 Example 1: 
 Input: nums = [1,2,3,4]
Output: [24,12,8,6]
 Example 2: 
 Input: nums = [-1,1,0,-3,3]
Output: [0,0,9,0,0]
 
 
 Constraints: 

 
 2 <= nums.length <= 10⁵ 
 -30 <= nums[i] <= 30 
 The product of any prefix or suffix of nums is guaranteed to fit in a 32-bit 
integer. 
 

 
 Follow up: Can you solve the problem in O(1) extra space complexity? (The 
output array does not count as extra space for space complexity analysis.) 
 Related Topics数组 | 前缀和 

 👍 1269, 👎 0 

*/
//leetcode submit region begin(Prohibit modification and deletion)
class Solution {
    public int[] productExceptSelf(int[] nums) {
        int[] lProduct = new int [nums.length];
        int[] rProduct = new int [nums.length];
        lProduct[0] = 1;
        rProduct[nums.length - 1] = 1;

        for (int i = 1; i < nums.length; i++) {
            lProduct[i] = lProduct[i - 1] * nums[i - 1];
            rProduct[nums.length - 1 - i] = rProduct[nums.length - i] * nums[nums.length - i];
        }

        int[] result = new int [nums.length];
        for (int i = 0; i < nums.length; i++) {
            result[i] =  lProduct[i] * rProduct[i];
        }

        return result;
    }
}
//leetcode submit region end(Prohibit modification and deletion)

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