Write a function named create$\_$mat that creates a square matrix of an arbitrary size having the structure given in the example below. This function should take the size of a square matrix as an integer $($n$)$ and outputs the special matrix $($S$)$ as shown in the example below. You MUST use numpy arrays to create this matrix.

The code has already been provided to define a function named create$\_$mat that accepts the input variable n and returns the output variable S$.$

Examples:

Note that n is defined as input to the function. Do not overwrite values in this variable in your code. Be sure to assign a value to the function output variable $($S$).$

HARDCODING IS NOT ALLOWED!!! IT MEANS, YOU CANNOT DIRECTLY PRINT THE RESULT WITHOUT PERFORMING ANY OPERATIONS. OTHERWISE, YOU CANNOT PASS THE HIDDEN TESTS!!!

DO NOT CHANGE ANYTHING IN THE TEMPLATE ASIDE FROM ADDING YOUR OWN CODE IN THE SPECIFIED AREA. OTHERWISE THE TESTS MIGHT NOT WORK AND YOU WILL NOT BE ABLE TO PASS THEM!!!!!

DO NOT USE ANY BUILT$-$IN FUNCTION $($i$.$e$.,$ count$(),$ index$(),$ reverse$(),$ sort$(),$ sorted$(),$ etc.$)$ in PYTHON.

For example:

Test Result

print$($np$.$asarray$($create$\_$mat$(5),$dtype$=$int$))$

$[[11010]$

$[311303]$

$[5131950]$

$[71521257]$

$[917232729]]$

print$($np$.$asarray$($create$\_$mat$(10),$dtype$=$int$))$

$[[1101010101]$

$[32130303030]$

$[523395050505]$

$[7254155707070]$

$[92743576990909]$

$[112945597181110110]$

$[1331476173839113013]$

$[1533496375859399150]$

$[1735516577879510110517]$

$[19375367798997103107109]]$

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