Given the following C code and unoptimized assembly code, your task is to generate highly optimized x86-64 assembly code.
C Code:

```c
#include <stdio.h>



int main (void){
    int i,j;
    int a=0; 
    int b;
    int n,m,k;
   

    scanf("%d %d %d",&n,&m,&k);
    
    for(i=0;i<=n;i++){
        for(j=0;j<=m;j++){
            if(i*m+j*n-2*i*j == k){
            printf("Yes\n");
            a++;
            break;
            }
        }
        if(a != 0){
            break;
        }
    }
    
    if(a == 0){
        printf("No\n");
    }
    
    
    
    return 0;
}```

Unoptimized Assembly Code:

```assembly
	.file	"temp.c"
	.text
	.section	.rodata
.LC0:
	.string	"%d %d %d"
.LC1:
	.string	"Yes"
.LC2:
	.string	"No"
	.text
	.globl	main
	.type	main, @function
main:
.LFB0:
	.cfi_startproc
	endbr64
	pushq	%rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	movq	%rsp, %rbp
	.cfi_def_cfa_register 6
	subq	$32, %rsp
	movq	%fs:40, %rax
	movq	%rax, -8(%rbp)
	xorl	%eax, %eax
	movl	$0, -12(%rbp)
	leaq	-24(%rbp), %rcx
	leaq	-28(%rbp), %rdx
	leaq	-32(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movl	$0, -20(%rbp)
	jmp	.L2
.L9:
	movl	$0, -16(%rbp)
	jmp	.L3
.L6:
	movl	-28(%rbp), %eax
	imull	-20(%rbp), %eax
	movl	%eax, %edx
	movl	-32(%rbp), %eax
	imull	-16(%rbp), %eax
	addl	%eax, %edx
	movl	-20(%rbp), %eax
	imull	-16(%rbp), %eax
	addl	%eax, %eax
	subl	%eax, %edx
	movl	-24(%rbp), %eax
	cmpl	%eax, %edx
	jne	.L4
	leaq	.LC1(%rip), %rax
	movq	%rax, %rdi
	call	puts@PLT
	addl	$1, -12(%rbp)
	jmp	.L5
.L4:
	addl	$1, -16(%rbp)
.L3:
	movl	-28(%rbp), %eax
	cmpl	%eax, -16(%rbp)
	jle	.L6
.L5:
	cmpl	$0, -12(%rbp)
	jne	.L13
	addl	$1, -20(%rbp)
.L2:
	movl	-32(%rbp), %eax
	cmpl	%eax, -20(%rbp)
	jle	.L9
	jmp	.L8
.L13:
	nop
.L8:
	cmpl	$0, -12(%rbp)
	jne	.L10
	leaq	.LC2(%rip), %rax
	movq	%rax, %rdi
	call	puts@PLT
.L10:
	movl	$0, %eax
	movq	-8(%rbp), %rdx
	subq	%fs:40, %rdx
	je	.L12
	call	__stack_chk_fail@PLT
.L12:
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE0:
	.size	main, .-main
	.ident	"GCC: (Ubuntu 11.4.0-1ubuntu1~22.04) 11.4.0"
	.section	.note.GNU-stack,"",@progbits
	.section	.note.gnu.property,"a"
	.align 8
	.long	1f - 0f
	.long	4f - 1f
	.long	5
0:
	.string	"GNU"
1:
	.align 8
	.long	0xc0000002
	.long	3f - 2f
2:
	.long	0x3
3:
	.align 8
4:
```

Only output the optimized assembly code. Do not include any other text. Do not write any comments in the assembly code. Wrap the assembly code in ```assembly``` tags.
user
	.file	"temp.c"
	.text
	.section	.rodata.str1.1,"aMS",@progbits,1
.LC0:
	.string	"%d %d %d"
.LC1:
	.string	"Yes"
.LC2:
	.string	"No"
	.section	.text.startup,"ax",@progbits
	.p2align 4
	.globl	main
	.type	main, @function
main:
.LFB23:
	.cfi_startproc
	endbr64
	subq	$40, %rsp
	.cfi_def_cfa_offset 48
	leaq	.LC0(%rip), %rdi
	movq	%fs:40, %rax
	movq	%rax, 24(%rsp)
	xorl	%eax, %eax
	leaq	20(%rsp), %rcx
	leaq	16(%rsp), %rdx
	leaq	12(%rsp), %rsi
	call	__isoc99_scanf@PLT
	movl	12(%rsp), %r10d
	testl	%r10d, %r10d
	js	.L2
	movl	16(%rsp), %ecx
	movl	20(%rsp), %edi
	movl	%r10d, %esi
	xorl	%r8d, %r8d
	xorl	%r9d, %r9d
	.p2align 4,,10
	.p2align 3
.L3:
	movl	%r8d, %eax
	xorl	%edx, %edx
	testl	%ecx, %ecx
	jns	.L6
	jmp	.L7
	.p2align 4,,10
	.p2align 3
.L4:
	addl	$1, %edx
	addl	%esi, %eax
	cmpl	%ecx, %edx
	jg	.L7
.L6:
	cmpl	%eax, %edi
	jne	.L4
	leaq	.LC1(%rip), %rdi
	call	puts@PLT
.L5:
	movq	24(%rsp), %rax
	subq	%fs:40, %rax
	jne	.L15
	xorl	%eax, %eax
	addq	$40, %rsp
	.cfi_remember_state
	.cfi_def_cfa_offset 8
	ret
	.p2align 4,,10
	.p2align 3
.L7:
	.cfi_restore_state
	addl	$1, %r9d
	subl	$2, %esi
	addl	%ecx, %r8d
	cmpl	%r9d, %r10d
	jge	.L3
.L2:
	leaq	.LC2(%rip), %rdi
	call	puts@PLT
	jmp	.L5
.L15:
	call	__stack_chk_fail@PLT
	.cfi_endproc
.LFE23:
	.size	main, .-main
	.ident	"GCC: (Ubuntu 11.4.0-1ubuntu1~22.04) 11.4.0"
	.section	.note.GNU-stack,"",@progbits
	.section	.note.gnu.property,"a"
	.align 8
	.long	1f - 0f
	.long	4f - 1f
	.long	5
0:
	.string	"GNU"
1:
	.align 8
	.long	0xc0000002
	.long	3f - 2f
2:
	.long	0x3
3:
	.align 8
4:

rule
	.file	"temp.c"
	.text
	.section	.rodata.str1.1,"aMS",@progbits,1
.LC0:
	.string	"%d %d %d"
.LC1:
	.string	"Yes"
.LC2:
	.string	"No"
	.section	.text.startup,"ax",@progbits
	.p2align 4
	.globl	main
	.type	main, @function
main:
.LFB23:
	.cfi_startproc
	endbr64
	subq	$40, %rsp
	.cfi_def_cfa_offset 48
	leaq	.LC0(%rip), %rdi
	movq	%fs:40, %rax
	movq	%rax, 24(%rsp)
	xorl	%eax, %eax
	leaq	20(%rsp), %rcx
	leaq	16(%rsp), %rdx
	leaq	12(%rsp), %rsi
	call	__isoc99_scanf@PLT
	movl	12(%rsp), %r10d
	testl	%r10d, %r10d
	js	.L2
	movl	16(%rsp), %ecx
	movl	20(%rsp), %edi
	movl	%r10d, %esi
	xorl	%r8d, %r8d
	xorl	%r9d, %r9d
	.p2align 4,,10
	.p2align 3
.L3:
	movl	%r8d, %eax
	xorl	%edx, %edx
	testl	%ecx, %ecx
	jns	.L6
	jmp	.L7
	.p2align 4,,10
	.p2align 3
.L4:
	addl	$1, %edx
	addl	%esi, %eax
	cmpl	%ecx, %edx
	jg	.L7
.L6:
	cmpl	%eax, %edi
	jne	.L4
	leaq	.LC1(%rip), %rdi
	call	puts@PLT
.L5:
	movq	24(%rsp), %rax
	subq	%fs:40, %rax
	jne	.L15
	xorl	%eax, %eax
	addq	$40, %rsp
	.cfi_remember_state
	.cfi_def_cfa_offset 8
	ret
	.p2align 4,,10
	.p2align 3
.L7:
	.cfi_restore_state
	addl	$1, %r9d
	subl	$2, %esi
	addl	%ecx, %r8d
	cmpl	%r9d, %r10d
	jge	.L3
.L2:
	leaq	.LC2(%rip), %rdi
	call	puts@PLT
	jmp	.L5
.L15:
	call	__stack_chk_fail@PLT
	.cfi_endproc
.LFE23:
	.size	main, .-main
	.ident	"GCC: (Ubuntu 11.4.0-1ubuntu1~22.04) 11.4.0"
	.section	.note.GNU-stack,"",@progbits
	.section	.note.gnu.property,"a"
	.align 8
	.long	1f - 0f
	.long	4f - 1f
	.long	5
0:
	.string	"GNU"
1:
	.align 8
	.long	0xc0000002
	.long	3f - 2f
2:
	.long	0x3
3:
	.align 8
4:

#include <stdio.h>



int main (void){
    int i,j;
    int a=0; 
    int b;
    int n,m,k;
   

    scanf("%d %d %d",&n,&m,&k);
    
    for(i=0;i<=n;i++){
        for(j=0;j<=m;j++){
            if(i*m+j*n-2*i*j == k){
            printf("Yes\n");
            a++;
            break;
            }
        }
        if(a != 0){
            break;
        }
    }
    
    if(a == 0){
        printf("No\n");
    }
    
    
    
    return 0;
}
4 2 2
 4 2 1
 7 9 8
 2 5 8
 6 2 2
 7 17 8
 1 5 8
 2 3 2
 7 17 5
 2 1 8

Yes
 No
 No
 Yes
 Yes
 No
 No
 Yes
 No
 No

Given the following C code and unoptimized assembly code, your task is to generate highly optimized x86-64 assembly code.
C Code:

```c
#include <stdio.h>



int main (void){
    int i,j;
    int a=0; 
    int b;
    int n,m,k;
   

    scanf("%d %d %d",&n,&m,&k);
    
    for(i=0;i<=n;i++){
        for(j=0;j<=m;j++){
            if(i*m+j*n-2*i*j == k){
            printf("Yes\n");
            a++;
            break;
            }
        }
        if(a != 0){
            break;
        }
    }
    
    if(a == 0){
        printf("No\n");
    }
    
    
    
    return 0;
}```

Unoptimized Assembly Code:

```assembly
	.file	"temp.c"
	.text
	.section	.rodata
.LC0:
	.string	"%d %d %d"
.LC1:
	.string	"Yes"
.LC2:
	.string	"No"
	.text
	.globl	main
	.type	main, @function
main:
.LFB0:
	.cfi_startproc
	endbr64
	pushq	%rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	movq	%rsp, %rbp
	.cfi_def_cfa_register 6
	subq	$32, %rsp
	movq	%fs:40, %rax
	movq	%rax, -8(%rbp)
	xorl	%eax, %eax
	movl	$0, -12(%rbp)
	leaq	-24(%rbp), %rcx
	leaq	-28(%rbp), %rdx
	leaq	-32(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movl	$0, -20(%rbp)
	jmp	.L2
.L9:
	movl	$0, -16(%rbp)
	jmp	.L3
.L6:
	movl	-28(%rbp), %eax
	imull	-20(%rbp), %eax
	movl	%eax, %edx
	movl	-32(%rbp), %eax
	imull	-16(%rbp), %eax
	addl	%eax, %edx
	movl	-20(%rbp), %eax
	imull	-16(%rbp), %eax
	addl	%eax, %eax
	subl	%eax, %edx
	movl	-24(%rbp), %eax
	cmpl	%eax, %edx
	jne	.L4
	leaq	.LC1(%rip), %rax
	movq	%rax, %rdi
	call	puts@PLT
	addl	$1, -12(%rbp)
	jmp	.L5
.L4:
	addl	$1, -16(%rbp)
.L3:
	movl	-28(%rbp), %eax
	cmpl	%eax, -16(%rbp)
	jle	.L6
.L5:
	cmpl	$0, -12(%rbp)
	jne	.L13
	addl	$1, -20(%rbp)
.L2:
	movl	-32(%rbp), %eax
	cmpl	%eax, -20(%rbp)
	jle	.L9
	jmp	.L8
.L13:
	nop
.L8:
	cmpl	$0, -12(%rbp)
	jne	.L10
	leaq	.LC2(%rip), %rax
	movq	%rax, %rdi
	call	puts@PLT
.L10:
	movl	$0, %eax
	movq	-8(%rbp), %rdx
	subq	%fs:40, %rdx
	je	.L12
	call	__stack_chk_fail@PLT
.L12:
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE0:
	.size	main, .-main
	.ident	"GCC: (Ubuntu 11.4.0-1ubuntu1~22.04) 11.4.0"
	.section	.note.GNU-stack,"",@progbits
	.section	.note.gnu.property,"a"
	.align 8
	.long	1f - 0f
	.long	4f - 1f
	.long	5
0:
	.string	"GNU"
1:
	.align 8
	.long	0xc0000002
	.long	3f - 2f
2:
	.long	0x3
3:
	.align 8
4:
```

Only output the optimized assembly code. Do not include any other text. Do not write any comments in the assembly code. Wrap the assembly code in ```assembly``` tags.
train
	.file	"temp.c"
	.text
	.section	.rodata
.LC0:
	.string	"%d %d %d"
.LC1:
	.string	"Yes"
.LC2:
	.string	"No"
	.text
	.globl	main
	.type	main, @function
main:
.LFB0:
	.cfi_startproc
	endbr64
	pushq	%rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	movq	%rsp, %rbp
	.cfi_def_cfa_register 6
	subq	$32, %rsp
	movq	%fs:40, %rax
	movq	%rax, -8(%rbp)
	xorl	%eax, %eax
	movl	$0, -12(%rbp)
	leaq	-24(%rbp), %rcx
	leaq	-28(%rbp), %rdx
	leaq	-32(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movl	$0, -20(%rbp)
	jmp	.L2
.L9:
	movl	$0, -16(%rbp)
	jmp	.L3
.L6:
	movl	-28(%rbp), %eax
	imull	-20(%rbp), %eax
	movl	%eax, %edx
	movl	-32(%rbp), %eax
	imull	-16(%rbp), %eax
	addl	%eax, %edx
	movl	-20(%rbp), %eax
	imull	-16(%rbp), %eax
	addl	%eax, %eax
	subl	%eax, %edx
	movl	-24(%rbp), %eax
	cmpl	%eax, %edx
	jne	.L4
	leaq	.LC1(%rip), %rax
	movq	%rax, %rdi
	call	puts@PLT
	addl	$1, -12(%rbp)
	jmp	.L5
.L4:
	addl	$1, -16(%rbp)
.L3:
	movl	-28(%rbp), %eax
	cmpl	%eax, -16(%rbp)
	jle	.L6
.L5:
	cmpl	$0, -12(%rbp)
	jne	.L13
	addl	$1, -20(%rbp)
.L2:
	movl	-32(%rbp), %eax
	cmpl	%eax, -20(%rbp)
	jle	.L9
	jmp	.L8
.L13:
	nop
.L8:
	cmpl	$0, -12(%rbp)
	jne	.L10
	leaq	.LC2(%rip), %rax
	movq	%rax, %rdi
	call	puts@PLT
.L10:
	movl	$0, %eax
	movq	-8(%rbp), %rdx
	subq	%fs:40, %rdx
	je	.L12
	call	__stack_chk_fail@PLT
.L12:
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE0:
	.size	main, .-main
	.ident	"GCC: (Ubuntu 11.4.0-1ubuntu1~22.04) 11.4.0"
	.section	.note.GNU-stack,"",@progbits
	.section	.note.gnu.property,"a"
	.align 8
	.long	1f - 0f
	.long	4f - 1f
	.long	5
0:
	.string	"GNU"
1:
	.align 8
	.long	0xc0000002
	.long	3f - 2f
2:
	.long	0x3
3:
	.align 8
4:
