# Two Sum - Difference equals to target

ID: 610; medium

## Solution 1 (Java)

``````public class Solution {
/**
* @param nums: an array of Integer
* @param target: an integer
* @return: [num1, num2] (num1 < num2)
*/
public int[] twoSum7(int[] nums, int target) {
int[] res = new int[2];
target = Math.abs(target);
for (int i = 0, j = 1; j < nums.length; j++) {
while (i < j && nums[j] - nums[i] > target) {
i++;
}
if (i != j && nums[j] - nums[i] == target) {
res[0] = nums[i];
res[1] = nums[j];
if (res[0] > res[1]) {
int temp = res[0];
res[0] = res[1];
res[1] = temp;
}
return res;
}
}
return res;
}
}``````

### Notes

• Two pointers `i` and `j`

• We move the `i` pointer in this solution to narrow down the range of the two numbers.

• Time complexity: `O(n)`

• Space complexity: `O(1)`

## Solution 2 (Java)

``````public class Solution {
/**
* @param nums: an array of Integer
* @param target: an integer
* @return: [num1, num2] (num1 < num2)
*/
public int[] twoSum7(int[] nums, int target) {
target = Math.abs(target);
int j = 1;
for (int i = 0; i < nums.length; i++) {
j = Math.max(j, i + 1); // prevent i and j overlap
while (j < nums.length && nums[j] - nums[i] < target) {
j++;
}
if (j >= nums.length) break;
if (nums[j] - nums[i] == target) {
// since j is always larger i, thus this order
return new int[]{nums[i], nums[j]};
}
}
return new int[]{-1, -1};
}
}``````

### Notes

• This solution is also the two pointers method, but we move the j pointer. We make sure that j is always larger than i, so we do not need to check for the increasing order in the final answer.

• Time complexity: `O(n)`

• Space complexity: `O(1)`

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