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Calculate address

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Consider 3 dimensional array A[90][30][40] stored in a linear array in column major order. If the base address starts at 10, what is the location of A[20][20][30]? Assume the first element us stored at A[1][1][1].

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The location of A[20][20][30] is 94766

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Base address = 10. It means address of A[1][1][1] = 10.

Dimension of 3-D array = A[90][30][40].

Note- Since elements in 3-D array are stored in column major order, So we can say that we have total 40 layers of (30*90) 2-D array.   

Assuming given array elements are integer and it takes 4 bytes of memory address. 

Location of A[20][20][30] = 10 + (19 * (90*30) + 19* 90 + 20 -1 )*4

                                     = 10 + 53029*4

                                     = 212126

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