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>
#include<string.h>
int main() {

	
	int i,a, b, k;

	scanf("%d%d%d", &a, &b, &k);


	for (i = 0; i < k; i++) {
		if (i % 2) {
			b /= 2;
			a += b;
		}
		else {
			a /= 2;
			b += a;
		}
	}
	printf("%d %d", a, b);
	return 0; 
}```

Unoptimized Assembly Code:

```assembly
	.file	"temp.c"
	.text
	.section	.rodata
.LC0:
	.string	"%d%d%d"
.LC1:
	.string	"%d %d"
	.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
	leaq	-16(%rbp), %rcx
	leaq	-20(%rbp), %rdx
	leaq	-24(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movl	$0, -12(%rbp)
	jmp	.L2
.L5:
	movl	-12(%rbp), %eax
	andl	$1, %eax
	testl	%eax, %eax
	je	.L3
	movl	-20(%rbp), %eax
	movl	%eax, %edx
	shrl	$31, %edx
	addl	%edx, %eax
	sarl	%eax
	movl	%eax, -20(%rbp)
	movl	-24(%rbp), %edx
	movl	-20(%rbp), %eax
	addl	%edx, %eax
	movl	%eax, -24(%rbp)
	jmp	.L4
.L3:
	movl	-24(%rbp), %eax
	movl	%eax, %edx
	shrl	$31, %edx
	addl	%edx, %eax
	sarl	%eax
	movl	%eax, -24(%rbp)
	movl	-20(%rbp), %edx
	movl	-24(%rbp), %eax
	addl	%edx, %eax
	movl	%eax, -20(%rbp)
.L4:
	addl	$1, -12(%rbp)
.L2:
	movl	-16(%rbp), %eax
	cmpl	%eax, -12(%rbp)
	jl	.L5
	movl	-20(%rbp), %edx
	movl	-24(%rbp), %eax
	movl	%eax, %esi
	leaq	.LC1(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	printf@PLT
	movl	$0, %eax
	movq	-8(%rbp), %rdx
	subq	%fs:40, %rdx
	je	.L7
	call	__stack_chk_fail@PLT
.L7:
	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	"%d %d"
	.section	.text.startup,"ax",@progbits
	.p2align 4
	.globl	main
	.type	main, @function
main:
.LFB35:
	.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	20(%rsp), %esi
	movl	16(%rsp), %ecx
	xorl	%eax, %eax
	movl	12(%rsp), %edx
	testl	%esi, %esi
	jg	.L6
	jmp	.L3
	.p2align 4,,10
	.p2align 3
.L12:
	movl	%ecx, %edi
	addl	$1, %eax
	shrl	$31, %edi
	addl	%edi, %ecx
	sarl	%ecx
	addl	%ecx, %edx
	cmpl	%eax, %esi
	je	.L11
.L6:
	testb	$1, %al
	jne	.L12
	movl	%edx, %edi
	addl	$1, %eax
	shrl	$31, %edi
	addl	%edi, %edx
	sarl	%edx
	addl	%edx, %ecx
	cmpl	%eax, %esi
	jne	.L6
.L11:
	movl	%edx, 12(%rsp)
	movl	%ecx, 16(%rsp)
.L3:
	xorl	%eax, %eax
	leaq	.LC1(%rip), %rsi
	movl	$1, %edi
	call	__printf_chk@PLT
	movq	24(%rsp), %rax
	subq	%fs:40, %rax
	jne	.L13
	xorl	%eax, %eax
	addq	$40, %rsp
	.cfi_remember_state
	.cfi_def_cfa_offset 8
	ret
.L13:
	.cfi_restore_state
	call	__stack_chk_fail@PLT
	.cfi_endproc
.LFE35:
	.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	"%d %d"
	.section	.text.startup,"ax",@progbits
	.p2align 4
	.globl	main
	.type	main, @function
main:
.LFB35:
	.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	20(%rsp), %esi
	movl	16(%rsp), %ecx
	xorl	%eax, %eax
	movl	12(%rsp), %edx
	testl	%esi, %esi
	jg	.L6
	jmp	.L3
	.p2align 4,,10
	.p2align 3
.L12:
	movl	%ecx, %edi
	addl	$1, %eax
	shrl	$31, %edi
	addl	%edi, %ecx
	sarl	%ecx
	addl	%ecx, %edx
	cmpl	%eax, %esi
	je	.L11
.L6:
	testb	$1, %al
	jne	.L12
	movl	%edx, %edi
	addl	$1, %eax
	shrl	$31, %edi
	addl	%edi, %edx
	sarl	%edx
	addl	%edx, %ecx
	cmpl	%eax, %esi
	jne	.L6
.L11:
	movl	%edx, 12(%rsp)
	movl	%ecx, 16(%rsp)
.L3:
	xorl	%eax, %eax
	leaq	.LC1(%rip), %rsi
	movl	$1, %edi
	call	__printf_chk@PLT
	movq	24(%rsp), %rax
	subq	%fs:40, %rax
	jne	.L13
	xorl	%eax, %eax
	addq	$40, %rsp
	.cfi_remember_state
	.cfi_def_cfa_offset 8
	ret
.L13:
	.cfi_restore_state
	call	__stack_chk_fail@PLT
	.cfi_endproc
.LFE35:
	.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>
#include<string.h>
int main() {

	
	int i,a, b, k;

	scanf("%d%d%d", &a, &b, &k);


	for (i = 0; i < k; i++) {
		if (i % 2) {
			b /= 2;
			a += b;
		}
		else {
			a /= 2;
			b += a;
		}
	}
	printf("%d %d", a, b);
	return 0; 
}
3 2 3
 5 4 1
 231274241 358979323 84
 0 2 3
 8 4 1
 377378637 358979323 84
 0 0 3
 8 4 2
 7425724 358979323 84
 10 4 2

1 2 2 6 393502366 196751183 0 1 4 8 490905292 245452646 0 0 8 4 244270020 122135010 9 4
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>
#include<string.h>
int main() {

	
	int i,a, b, k;

	scanf("%d%d%d", &a, &b, &k);


	for (i = 0; i < k; i++) {
		if (i % 2) {
			b /= 2;
			a += b;
		}
		else {
			a /= 2;
			b += a;
		}
	}
	printf("%d %d", a, b);
	return 0; 
}```

Unoptimized Assembly Code:

```assembly
	.file	"temp.c"
	.text
	.section	.rodata
.LC0:
	.string	"%d%d%d"
.LC1:
	.string	"%d %d"
	.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
	leaq	-16(%rbp), %rcx
	leaq	-20(%rbp), %rdx
	leaq	-24(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movl	$0, -12(%rbp)
	jmp	.L2
.L5:
	movl	-12(%rbp), %eax
	andl	$1, %eax
	testl	%eax, %eax
	je	.L3
	movl	-20(%rbp), %eax
	movl	%eax, %edx
	shrl	$31, %edx
	addl	%edx, %eax
	sarl	%eax
	movl	%eax, -20(%rbp)
	movl	-24(%rbp), %edx
	movl	-20(%rbp), %eax
	addl	%edx, %eax
	movl	%eax, -24(%rbp)
	jmp	.L4
.L3:
	movl	-24(%rbp), %eax
	movl	%eax, %edx
	shrl	$31, %edx
	addl	%edx, %eax
	sarl	%eax
	movl	%eax, -24(%rbp)
	movl	-20(%rbp), %edx
	movl	-24(%rbp), %eax
	addl	%edx, %eax
	movl	%eax, -20(%rbp)
.L4:
	addl	$1, -12(%rbp)
.L2:
	movl	-16(%rbp), %eax
	cmpl	%eax, -12(%rbp)
	jl	.L5
	movl	-20(%rbp), %edx
	movl	-24(%rbp), %eax
	movl	%eax, %esi
	leaq	.LC1(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	printf@PLT
	movl	$0, %eax
	movq	-8(%rbp), %rdx
	subq	%fs:40, %rdx
	je	.L7
	call	__stack_chk_fail@PLT
.L7:
	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	"%d %d"
	.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
	leaq	-16(%rbp), %rcx
	leaq	-20(%rbp), %rdx
	leaq	-24(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movl	$0, -12(%rbp)
	jmp	.L2
.L5:
	movl	-12(%rbp), %eax
	andl	$1, %eax
	testl	%eax, %eax
	je	.L3
	movl	-20(%rbp), %eax
	movl	%eax, %edx
	shrl	$31, %edx
	addl	%edx, %eax
	sarl	%eax
	movl	%eax, -20(%rbp)
	movl	-24(%rbp), %edx
	movl	-20(%rbp), %eax
	addl	%edx, %eax
	movl	%eax, -24(%rbp)
	jmp	.L4
.L3:
	movl	-24(%rbp), %eax
	movl	%eax, %edx
	shrl	$31, %edx
	addl	%edx, %eax
	sarl	%eax
	movl	%eax, -24(%rbp)
	movl	-20(%rbp), %edx
	movl	-24(%rbp), %eax
	addl	%edx, %eax
	movl	%eax, -20(%rbp)
.L4:
	addl	$1, -12(%rbp)
.L2:
	movl	-16(%rbp), %eax
	cmpl	%eax, -12(%rbp)
	jl	.L5
	movl	-20(%rbp), %edx
	movl	-24(%rbp), %eax
	movl	%eax, %esi
	leaq	.LC1(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	printf@PLT
	movl	$0, %eax
	movq	-8(%rbp), %rdx
	subq	%fs:40, %rdx
	je	.L7
	call	__stack_chk_fail@PLT
.L7:
	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:
