Sum Frame of a Matrix T54397
Let M be a square matrix N × N. This matrix has different frames. Frame 0 is formed by rows 0 and N−1 and columns 0 and N−1. Frame 1 is formed by rows 1 and N−2 and columns 1 and N−2, excluding the parts that are part of frame 0, etc.
In the following example, you have that the frame 0 is formed by all the positions where there is a 0, the frame 1 the positions where there is a 1, and the frame 2 the positions where there is a 2:
0 0 0 0 0
0 1 1 1 0
0 1 2 1 0
0 1 1 1 0
0 0 0 0 0
You must implement the function int sumaMarc(const Matriu& m, int x);
with the following specification:
PRE: m a matrix N × N and 0 ≤ x < N/2 + (N mod 2).
POST: Returns the sum of the elements of the frame x of M.
Observation
You only need to send the function we ask for and the functions you define. The rest will be ignored.
Input
A matrix N × N and 0 ≤ x < N/2 + (N mod 2).
Output
The sum of the elements of the frame x of M.
ENTRADA 1: 5 1 1 1 1 1 1 2 2 2 1 1 2 3 2 1 1 2 2 2 1 1 1 1 1 1 0 1 2 SORTIDA 1: El marc 0 suma 16 El marc 1 suma 16 El marc 2 suma 3 ENTRADA 2: 4 1 2 3 1 2 1 3 2 2 3 5 3 1 2 2 1 0 1 SORTIDA 2: El marc 0 suma 22 El marc 1 suma 12 ENTRADA 3: 6 1 1 1 1 0 7 1 0 2 2 2 1 4 2 3 5 2 2 1 2 0 3 0 1 1 1 2 2 2 1 1 1 1 1 1 0 0 1 2 SORTIDA 3: El marc 0 suma 28 El marc 1 suma 19 El marc 2 suma 11