Given the following C program and the mapping of registers to variables, complete the MIPSzy implementation of function Sum.

int Dif$($int a$,$ int b$)\{$

return $b-a$;

$\}$

int Sum$($int $m,$ int $n)\{$

int $p=$Dif$(n+1,m-1)$;

int $q=$Dif$(m+1,n-1)$;

return $p+q$;

$\}$

int main$()($

int $x,y$;

$z=x+y+$sum $(x,y)$;

return $0$ ;

$\}$

addi $sp$,$ $zero, $8188$ # Assume program stack starts at $8188.$ Do not modify.

# Procedure Main $($Do not modify$)$

Main:

# Store arguments for Sum

addi $sp$,$ $sp$,-4$ # Push $t$0$ to stack

sw $t$0,0($$sp$)$

addi $sp$,$ $sp$,-4$ # Push $t$1$ to stack

sw $t$1,0($$sp$)$

addi $sp$,$ $sp$,-4$ # Push return value to stack

jal Sum

# Load return value

lw $t$2,0($$sp$)$

addi $sp$,$ $sp$,4$ # Pop return value from stack

lw $t$1,0($$sp$)$

addi $sp$,$ $sp$,4$ # Pop $t$1$ from stack

lw $t$0,0($$sp$)$

addi $sp$,$ $sp$,4$ # Pop $t$0$ from stack

# Final additions

add $t$2,$ $t$2,$ $t$0$

add $t$2,$ $t$2,$ $t$1$

j End

# Procedure Sum

Sum:

# Type your code here.

# Procedure Dif $($Do not modify$)$

Dif:

# Load arguments

lw $t$0,12($$sp$)$

lw $t$1,8($$sp$)$

sub $t$4,$ $t$1,$ $t$0$

sw $t$4,4($$sp$)$ # Push return value

jr $ra

End: