# Codesignal Solution: offsets

You are given a `chain`

of digits. The first element of the `chain`

is the initial *offset*. Your task is to calculate the total *offset*, where *offset* is the sum of differences between two consecutive digits.

**Example**

For `chain = "14839"`

, the output should be`offsets(chain) = 6`

.

The total *offset* is calculated as follows:`1 + ((8 - 4) + (3 - 8) + (9 - 3)) = 1 + (4 - 5 + 6) = 6`

.

**Input/Output**

**[time limit] 4000ms (js)**

**[input] string chain**A string of digits.

*Constraints:*`5 ≤ chain.length ≤ 1000`

.**[output] integer**The total

*offset*.

**Solution**

When we formalize the problem it reads like this:

\[s = x_1 + (x_3 - x_2) + (x_4 - x_3) + ... + (x_n - x_{n-1})\]

Almost all terms cancel out this way and the only remaining thing is:

\[s = x_1 - x_2 + x_n\]

Since the data is given as a string instead of an array, we abuse JavaScripts capabilities of implicit typing to get to a minimalistic solution:

offsets = c =>

c[0] - c[1] - -c.slice(-1)