Sum of Array Plus One

ArrayMath

Given an array of integers, compute the sum of all elements of the array after incrementing each element by one. Return this total sum.

Example 1

Input

Output

Explanation. Each element of the array [1, 2, 3] is incremented by 1 to become [2, 3, 4]. The sum of [2, 3, 4] is 9.

Example 2

Input

[
  [
    0,
    -1,
    -2
  ]
]

Output

-3

Explanation. Each element of the array [0, -1, -2] is incremented by 1 to become [1, 0, -1]. The sum of [1, 0, -1] is 0.

Example 3

Input

Output

Explanation. Each element of the array [1000, -1000] is incremented by 1. So the array becomes [1001, -999]. The sum of [1001, -999] is 2.

Example 4

Input

[
  [
    -100
  ]
]

Output

-99

Explanation. The element -100 is incremented by 1, becoming -99. Thus the sum is -99.

Example 5

Input

Output

Explanation. Each element of the array [10, 20, 30] is incremented by 1 to become [11, 21, 31]. The sum of [11, 21, 31] is 63.

Follow-up: Can you solve the problem in one line using functional programming constructs like map and reduce?

Constraints:

- `1 <= array.length <= 1000`\n- `-1000 <= array[i] <= 1000`, where `array[i]` is the ith element of the array.