Product of Array Except Self
You're given an array nums. Build a new array where each position holds the product of every element in nums except the one at that position — and do it without using division.
Input Format
Implement productExceptSelf(nums). Inputs below show JavaScript function arguments; there is no stdin parsing.
Output Format
Return the result described in the statement.
Sample Input and Output
Example 1 · Run Sample
Input
nums = [1,2,3,4] Output
[24,12,8,6] Example 2
Input
nums = [0,1,2,0] Output
[0,0,0,0] Constraints
- 2 <= nums.length <= 10^5
- -30 <= nums[i] <= 30
- Guaranteed product of any prefix/suffix fits in 32-bit integer
Test Cases (2)
Case 1
Args: [[1,2,3,4]]
Expected: [24,12,8,6]
Case 2
Args: [[0,1,2,0]]
Expected: [0,0,0,0]
Topics
Left and Right Products
function productExceptSelf(nums) {
const n = nums.length, result = Array(n).fill(1);
let prefix = 1;
for (let i = 0; i < n; i++) { result[i] = prefix; prefix *= nums[i]; }
let suffix = 1;
for (let i = n-1; i >= 0; i--) { result[i] *= suffix; suffix *= nums[i]; }
return result;
}Time: O(n) | Space: O(1) extra
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