In the following program, variable 'iterations' is not initialized. Explain the minimum initial value for the variable 'iterations' to produce an integer overflow, and explain how the integer overflow happens.

#include

int main$()\{$

int x $=2147483547$;

int iterations;

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

x $=$ x $+10$;

printf$("$Value of x after iteration $\%$d: $\%$d

$",$ i$+1,$ x$)$;

$\}$

return $0$;

$\}$