[LC] 238. Product of Array Except Self
Given an array nums
of n integers where n > 1, return an array output
such that output[i]
is equal to the product of all the elements of nums
except nums[i]
.
Example:
Input:[1,2,3,4]
Output:[24,12,8,6]
Note: Please solve it without division and in O(n).
Follow up:
Could you solve it with constant space complexity? (The output array does not count as extra space for the purpose of space complexity analysis.)
class Solution {
public int[] productExceptSelf(int[] nums) {
if (nums == null || nums.length == 0) {
return nums;
}
int[] resArr = new int[nums.length];
resArr[0] = 1;
for (int i = 1; i < nums.length; i++) {
resArr[i] = resArr[i - 1] * nums[i - 1];
} int right = 1;
for (int i = nums.length - 1; i >= 0; i--) {
resArr[i] *= right;
right *= nums[i];
}
return resArr;
}
}
public class Solution {
/**
* @param nums: an array of integers
* @return: the product of all the elements of nums except nums[i].
*/
public int[] productExceptSelf(int[] nums) {
// write your code here
int len = nums.length;
int[] prefix = new int[len];
int[] suffix = new int[len];
for (int i = 0; i < len; i++) {
if (i == 0) {
prefix[i] = nums[i];
continue;
}
prefix[i] = prefix[i - 1] * nums[i];
}
for(int i = len - 1; i >= 0; i--) {
if (i == len - 1) {
suffix[i] = nums[i];
continue;
}
suffix[i] = suffix[i + 1] * nums[i];
}
int[] res = new int[len];
for (int i = 0; i < len; i++) {
if (i == 0) {
res[i] = suffix[i + 1];
continue;
}
if (i == len - 1) {
res[i] = prefix[i - 1];
continue;
}
res[i] = prefix[i - 1] * suffix[i + 1];
}
return res;
}
}
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