A two-dimensional array int $a [32] [32]$ where each element takes $2$ byte, cache size $2^{12}$ bytes and line size is $2^6$ bytes. The following program segment is stored in the direct mapped cache.
for ( i= 1; i<= 32; ++ i)
for (j= 0; j<= 31; ++ j)
a[i][ j] = 0
If initially cache is empty then total number of compulsory cache miss for storing above array is ________