$1.$ Analyze the following C code that's intended to find the sum of even numbers from $1$ to $50.$ Identify any errors, suggest improvements on the number of iterations, and explain why your improvements are better.

#include int main$()\{$

int sum $=0,$ i;

for $($i$=1$;i$<=50$; i$++)$

if $($i $\%2==0)$

sum $+=$ i;

printf$("$Sum of even numbers from $1$ to $50$: $\%$d$",$ sum$)$;

return $0$;

$\}$