Given an array of at least one integer, write a program to create a new array with elements equal to the exponent of each element in the original array raised to the index, i$.$e$.,$ B$[$i$]=$ A$[$i$]^$i$.$

For this, write two functions that will be called in main function independently.

exponent

inputs: element $($A$[$i$])$ and index $($i$)$

task: returns the value of element raised to index $($A$[$i$]^$i$).$

append

inputs: base address of new array B $(*$B$),$ current size of B $($n$2)$ and the new element $($A$[$i$]^$i$)$

task: add the new element at the end.

This function does not return any value $($void$).$

Following is a sample C code to perform the required task. You may modify the code for the functions, but the task performed should not be changed.

int main$()\{$

$//$ Variable Declaration

int$*$ A$,$ B; $//$ Base addresses of A and B

int n$1,$ n$2$; $//$ Lengths of arrays A and B

int exp; $//$ Return value from exponent function

$//$ Task of main function

B$[0]=1$; $//0$th element $=$ A$[0]^0=1$

for $($int j $=1$; j $<$ n$1$; j$++)\{$

n$2=$ j; $//$ Current length of array B

exp $=$ exponent$($A$[$j$],$ j$)$;

append$($B$,$ n$2,$ exp$)$;

$\}$

n$2++$;

$\}$

int exponent$($int x$,$ int y$)\{$

int exp $=$ x;

for $($int j $=1$; j $<$ y; j$++)\{$

exp $=$ exp $*$ x;

$\}$

return$($exp$)$;

$\}$

void append$($int$*$ B$,$ int n$2,$ int exp$)\{$

B$[$n$2]=$ exp;

$\}$

Registers Variables

$s$0$ A

$s$1$ n$1$

$s$2$ B

$s$3$ n$2$

Addresses Contents

$s$0$ A$[0]$

$s$0+4$ A$[1]$

$......$

$s$0+4*($n$-1)$ A$[$n$-1]$

Example Test: If the values of $s$1$ through $s$7$ are initialized in the simulator as: $($Use the $\text{'}+\text{'}$ button under the Registers display to initialize register values for $s$0,$ $s$1,$ $s$2$ and the $\text{'}+\text{'}$ button under the Memory display to initialize the A array elements.$)$

Registers Data

$s$04000$

$s$15$

$s$28000$

$s$30$

Addresses Contents

$400010$

$40045$

$4008-5$

$4012-2$

$40160$

The resultant registers will be:

Registers Data

$s$28000$

$s$35$

The resultant array B is:

Addresses Contents

$80001$

$80045$

$800825$

$8012-8$

$80160$