An Armstrong number x is a number that the sum of the cube of its digits is equal to this number. For instance, $153$ and $371$ are Armstrong numbers, since

$153=13+53+33$ and $371=33+73+13.$ However, $127$ and $234$ are not Armstrong numbers since they are not equal to $13+23+73$ and $23+33+43,$ respectively.

Write a C program that scans from the user a $3-$digit integer x and implements a function bool isArmstrong$($x$)$ which checks whether x is an Armstrong number and

return true or false.

Note: To use variables of type $$bool$,$ you need to add $$ #include $.$

To use the $$pow$$ function from $$Math$$ library, you need to include the following $$#include $$ header and then call the function $$pow$($a$,$ b$)$ that returns ab$.$

To compile, use the following: $$gcc $-$o problem$3$ problem$3.$c $-$lm$.$

Sample input$/$output $1$: $($input highlighted in bold$)$

Please enter a positive $3-$digit integer: $-222$

The number should not be negative

Sample input$/$output $2$: $($input highlighted in bold$)$

Please enter a positive $3-$digit integer: $18$

The number should be a positive $3-$digit integer

Sample input$/$output $3$: $($input highlighted in bold$)$

Please enter a positive $3-$digit integer: $1100110$

The number should be a positive $3-$digit integer

Sample input$/$output $4$: $($input highlighted in bold$)$

Please enter a positive $3-$digit integer: $188$

$188$ is not an Armstrong number

Sample input$/$output $5$: $($input highlighted in bold$)$

Please enter a positive $3-$digit integer: $371$

$371$ is an Armstrong number