Finish the C$++$ program to balance chemical equations. It should prompt the user to Enter filename. After entering chemdata.txt$,$ it should output the following:

EQ$1$: $4$Al $+3$O$2->2$Al$203$

EQ$2$: Fe$2($SO$4)3+12$KSCN $->2$K$3$Fe$($SCN$)6+3$K$2$SO$4$

EQ$3$: Cannot Balance

EQ$4$: Cannot Balance

Run again $($Y$/$N$)$: n

Contents of chemdata.txt:

$4$

$21$ Al O$2$ Al$2$O$3$

$22$ Fe$2($SO$4)3$ KSCN K$3$Fe$($SCN$)6$ K$2$SO$4$

$11$ CO$2$ CO

$22$ A B AB B

Code so far:

#include

#include

#include

using namespace std;

const int MAXELEM $=30$;

string names$[$MAXELEM$]$;

int nElem $=0$;

long long linsys$[$MAXELEM$][$MAXELEM$]$;

long long gcd$($long long a$,$ long long b$)$

$\{$

if $($b $==0)$

return a;

return gcd$($b$,$ a$\%$b$)$;

$\}$

int getIndex$($string ename$)$

$\{$

for$($int i$=0$; i $0)$

coeffs$[$index$]=$ val;

else

coeffs$[$index$]=1$;

$\}$

$\}$

$\}$

bool solve$($long long a$[$MAXELEM$][$MAXELEM$],$ int n$,$ int m$,$ long long soln$[])$

$//$

$//$ solve linear system on n equations with m unknowns, checking

$//$ for unsolvable systems

$\{$

if $($n $<$ m$)$

return false;

for$($int i$=0$; i$=0$; i$--)\{$

long long val $=$ a$[$i$][$m$]$;

for$($int j$=$i$+1$; j$>$ r $>>$ p;

while $($r $>0)\{$

icase$++$;

nElem $=0$;

for$($int i$=0$; i$>$ term;

for$($int j$=0$; j$>$ term;

for$($int j$=0$; j