Hard
You are given two positive integer arrays nums
and target
, of the same length.
In a single operation, you can select any subarray of nums
and increment or decrement each element within that subarray by 1.
Return the minimum number of operations required to make nums
equal to the array target
.
Example 1:
Input: nums = [3,5,1,2], target = [4,6,2,4]
Output: 2
Explanation:
We will perform the following operations to make nums
equal to target
:
- Increment nums[0..3]
by 1, nums = [4,6,2,3]
.
- Increment nums[3..3]
by 1, nums = [4,6,2,4]
.
Example 2:
Input: nums = [1,3,2], target = [2,1,4]
Output: 5
Explanation:
We will perform the following operations to make nums
equal to target
:
- Increment nums[0..0]
by 1, nums = [2,3,2]
.
- Decrement nums[1..1]
by 1, nums = [2,2,2]
.
- Decrement nums[1..1]
by 1, nums = [2,1,2]
.
- Increment nums[2..2]
by 1, nums = [2,1,3]
.
- Increment nums[2..2]
by 1, nums = [2,1,4]
.
Constraints:
1 <= nums.length == target.length <= 105
1 <= nums[i], target[i] <= 108
public class Solution {
public long minimumOperations(int[] nums, int[] target) {
int n = nums.length;
long incr = 0;
long decr = 0;
long ops = 0;
for (int i = 0; i < n; i++) {
int diff = target[i] - nums[i];
if (diff > 0) {
if (incr < diff) {
ops += diff - incr;
}
incr = diff;
decr = 0;
} else if (diff < 0) {
if (decr < -diff) {
ops += -diff - decr;
}
decr = -diff;
incr = 0;
} else {
incr = decr = 0;
}
}
return ops;
}
}