Assume that we have $N$ boxes $($rectangular prism$)$ with various dimensions:

width, length and height. You will have an input file which demonstrates all

three parameters of these boxes: Column A refers to the width, Column B refers

to the length and Column $C$ refers to the height of the box.

$N,$ total number of boxes is less than $10.$

All $3$ dimensions of the boxes are all integers less than $100cm.$

Some of the sizes of different boxes can be same in terms of width or

length or height.

Here are $2$ example input data:

To create a set of intertwined boxes, you can put one box into another which

has a greater width, length and height $($If one of these is smaller or equal, you

can't$).$ In addition, you can just put the boxes into each other vertically. You

can't rotate the box in order to lay down the box. Height should always be the

vertical dimension.

Write a VBA code in Excel which calculates the highest number of boxes

which can be put into each other with the given data. Create a "Calculate"

button and show your answer in Cell E$2.$

For the first input above, you can't put the $2^{nd}$ box into the $1^{st}$ or vice versa

because of the sizes. But you can put $4^{th}$ box into the $1^{st}$ or $2^{nd}$ one to create

intertwined boxes. Also you can put $3^{rd}$ box into the $4^{th}$ one. In this case you

have $3$ toys in total and your output should be $3.$

$1^{st}>4^{th}>3^{th}or{2}^{nd}>4^{th}>3^{th}$

For the second input, $4^{th}>1^{st}>3^{rd}>5^{th}$

The highest number of boxes used to create a set of boxes is $4.$ So$,$ the correct

output should be $4.$