Define a function isSmaller$()$ that takes two integer vector parameters. The function returns true if the two vectors have the same size, and every element in the first vector is less than the element at the same index in the second vector. The function returns false otherwise.

Ex: If the input is:

$2$

$2411$

$2$

$47$

then the first vector has $2$ elements $\{24,11\}$ and the second vector has $2$ elements $\{4,7\}.$ The output is:

False, the first vector is not element$-$wise less than the second vector.

Please write in C$++$

#include

#include

using namespace std;

$//$Your code here!

int main$()\{$

int i;

vector inputVector$1$;

vector inputVector$2$;

int size;

int input;

bool checkProperty;

cin $>>$ size;

for $($i $=0$; i $<$ size; $++$i$)\{$

cin $>>$ input;

inputVector$1.$push$\_$back$($input$)$;

$\}$

cin $>>$ size;

for $($i $=0$; i $<$ size; $++$i$)\{$

cin $>>$ input;

inputVector$2.$push$\_$back$($input$)$;

$\}$

checkProperty $=$ isSmaller$($inputVector$1,$ inputVector$2)$;

if $($checkProperty$)\{$

cout $<<$ "True, the first vector is element$-$wise less than the second vector." $<<$ endl;

$\}$

else $\{$

cout $<<$ "False, the first vector is not element$-$wise less than the second vector." $<<$ endl;

$\}$

return $0$;

$\}$