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LEETCODEMedium

Product of Array Except Self

풀이일 2025 · 03 · 27기록 4 ms · 70.3 MB원문 leetcode ↗
ArrayPrefix Sum
문제

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 input is generated such that answer[i] 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.)

풀이 TypeScript
function productExceptSelf(nums: number[]): number[] {
  const n = nums.length;
  const answer: number[] = new Array(n);
  answer[0] = 1;

  for (let i = 1; i < n; i++) {
    answer[i] = answer[i - 1] * nums[i - 1];
  }
  let suffix = 1;

  for (let i = n - 1; i >= 0; i--) {
    answer[i] = answer[i] * suffix;
    suffix *= nums[i];
  }

  return answer;
};
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