According to given condition here, we need to check sum of 2 diagonal elements is lesser or equal to its 2 (upper and left) neighbor
A[i,j] + A[i+1,j+1] <= A[i,j+1] + A[i+1,j]
6 + b <= 34 + 7 , hence b < = 35
34 + d < = 13 + b ( to keep everything minimal LHS should be minimal, Hence d =1)
34 + 1 <= 13 + b (b = 22)
22 + a <= 32 + 7 ( a<= 17)
7 + c <= b+a
7 + c <= 22 + a ( a = 7, c = 22)
b + e <= d+c
22 + e <= d + 22 (e =1, d =1) (To keep everything minimal)
Hence a=7, b=22, c=22, d=1, e=1
a + b + c + d + e = 7 + 22 + 22 + 1+ 1 = 53