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 a[11]={0};
int used[11]={0};
int idx=1;

void dfs(int d,int n){
	int i;
	
	if(d==n){
		for(i=1;i<idx-1;i++){
			printf("%d ",a[i]);
		}
		printf("%d\n",a[idx-1]);
		return;
	}
	
	for(i=1;i<=n;i++){
		if(used[i]==0){
			a[idx++]=i;  used[i]=1;
			
			dfs(d+1,n);
			
			a[idx-1]=0;  idx--;  used[i]=0;
		}
	}

	return;
}

int main(){
	int n;
	
	scanf("%d",&n);
	
	dfs(0,n);
	
	return 0;
}
```

Unoptimized Assembly Code:

```assembly
	.file	"temp.c"
	.text
	.globl	a
	.bss
	.align 32
	.type	a, @object
	.size	a, 44
a:
	.zero	44
	.globl	used
	.align 32
	.type	used, @object
	.size	used, 44
used:
	.zero	44
	.globl	idx
	.data
	.align 4
	.type	idx, @object
	.size	idx, 4
idx:
	.long	1
	.section	.rodata
.LC0:
	.string	"%d "
.LC1:
	.string	"%d\n"
	.text
	.globl	dfs
	.type	dfs, @function
dfs:
.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
	movl	%edi, -20(%rbp)
	movl	%esi, -24(%rbp)
	movl	-20(%rbp), %eax
	cmpl	-24(%rbp), %eax
	jne	.L2
	movl	$1, -4(%rbp)
	jmp	.L3
.L4:
	movl	-4(%rbp), %eax
	cltq
	leaq	0(,%rax,4), %rdx
	leaq	a(%rip), %rax
	movl	(%rdx,%rax), %eax
	movl	%eax, %esi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	printf@PLT
	addl	$1, -4(%rbp)
.L3:
	movl	idx(%rip), %eax
	subl	$1, %eax
	cmpl	%eax, -4(%rbp)
	jl	.L4
	movl	idx(%rip), %eax
	subl	$1, %eax
	cltq
	leaq	0(,%rax,4), %rdx
	leaq	a(%rip), %rax
	movl	(%rdx,%rax), %eax
	movl	%eax, %esi
	leaq	.LC1(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	printf@PLT
	jmp	.L1
.L2:
	movl	$1, -4(%rbp)
	jmp	.L6
.L8:
	movl	-4(%rbp), %eax
	cltq
	leaq	0(,%rax,4), %rdx
	leaq	used(%rip), %rax
	movl	(%rdx,%rax), %eax
	testl	%eax, %eax
	jne	.L7
	movl	idx(%rip), %eax
	leal	1(%rax), %edx
	movl	%edx, idx(%rip)
	cltq
	leaq	0(,%rax,4), %rcx
	leaq	a(%rip), %rdx
	movl	-4(%rbp), %eax
	movl	%eax, (%rcx,%rdx)
	movl	-4(%rbp), %eax
	cltq
	leaq	0(,%rax,4), %rdx
	leaq	used(%rip), %rax
	movl	$1, (%rdx,%rax)
	movl	-20(%rbp), %eax
	leal	1(%rax), %edx
	movl	-24(%rbp), %eax
	movl	%eax, %esi
	movl	%edx, %edi
	call	dfs
	movl	idx(%rip), %eax
	subl	$1, %eax
	cltq
	leaq	0(,%rax,4), %rdx
	leaq	a(%rip), %rax
	movl	$0, (%rdx,%rax)
	movl	idx(%rip), %eax
	subl	$1, %eax
	movl	%eax, idx(%rip)
	movl	-4(%rbp), %eax
	cltq
	leaq	0(,%rax,4), %rdx
	leaq	used(%rip), %rax
	movl	$0, (%rdx,%rax)
.L7:
	addl	$1, -4(%rbp)
.L6:
	movl	-4(%rbp), %eax
	cmpl	-24(%rbp), %eax
	jle	.L8
	nop
.L1:
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE0:
	.size	dfs, .-dfs
	.section	.rodata
.LC2:
	.string	"%d"
	.text
	.globl	main
	.type	main, @function
main:
.LFB1:
	.cfi_startproc
	endbr64
	pushq	%rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	movq	%rsp, %rbp
	.cfi_def_cfa_register 6
	subq	$16, %rsp
	movq	%fs:40, %rax
	movq	%rax, -8(%rbp)
	xorl	%eax, %eax
	leaq	-12(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC2(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movl	-12(%rbp), %eax
	movl	%eax, %esi
	movl	$0, %edi
	call	dfs
	movl	$0, %eax
	movq	-8(%rbp), %rdx
	subq	%fs:40, %rdx
	je	.L11
	call	__stack_chk_fail@PLT
.L11:
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE1:
	.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 "
.LC1:
	.string	"%d\n"
	.text
	.p2align 4
	.globl	dfs
	.type	dfs, @function
dfs:
.LFB23:
	.cfi_startproc
	endbr64
	pushq	%r12
	.cfi_def_cfa_offset 16
	.cfi_offset 12, -16
	pushq	%rbp
	.cfi_def_cfa_offset 24
	.cfi_offset 6, -24
	pushq	%rbx
	.cfi_def_cfa_offset 32
	.cfi_offset 3, -32
	cmpl	%esi, %edi
	je	.L2
	movl	%esi, %ebp
	testl	%esi, %esi
	jle	.L1
	movl	4+used(%rip), %r12d
	movl	%edi, %ebx
	testl	%r12d, %r12d
	je	.L49
	cmpl	$1, %ebp
	je	.L1
.L59:
	movl	8+used(%rip), %r11d
	testl	%r11d, %r11d
	je	.L50
.L9:
	cmpl	$2, %ebp
	je	.L1
	movl	12+used(%rip), %r10d
	testl	%r10d, %r10d
	je	.L51
.L10:
	cmpl	$3, %ebp
	je	.L1
	movl	16+used(%rip), %r9d
	testl	%r9d, %r9d
	je	.L52
.L11:
	cmpl	$4, %ebp
	je	.L1
	movl	20+used(%rip), %r8d
	testl	%r8d, %r8d
	je	.L53
.L12:
	cmpl	$5, %ebp
	je	.L1
	movl	24+used(%rip), %edi
	testl	%edi, %edi
	je	.L54
.L13:
	cmpl	$6, %ebp
	je	.L1
	movl	28+used(%rip), %esi
	testl	%esi, %esi
	je	.L55
.L14:
	cmpl	$7, %ebp
	je	.L1
	movl	32+used(%rip), %ecx
	testl	%ecx, %ecx
	je	.L56
.L15:
	cmpl	$8, %ebp
	je	.L1
	movl	36+used(%rip), %edx
	testl	%edx, %edx
	je	.L57
.L16:
	cmpl	$9, %ebp
	je	.L1
	movl	40+used(%rip), %eax
	testl	%eax, %eax
	je	.L58
.L1:
	popq	%rbx
	.cfi_remember_state
	.cfi_def_cfa_offset 24
	popq	%rbp
	.cfi_def_cfa_offset 16
	popq	%r12
	.cfi_def_cfa_offset 8
	ret
	.p2align 4,,10
	.p2align 3
.L49:
	.cfi_restore_state
	movslq	idx(%rip), %rax
	leal	1(%rdi), %edi
	leaq	a(%rip), %r12
	movl	$1, 4+used(%rip)
	movl	$1, (%r12,%rax,4)
	leal	1(%rax), %edx
	movl	%edx, idx(%rip)
	call	dfs
	movl	idx(%rip), %eax
	movl	$0, 4+used(%rip)
	subl	$1, %eax
	movslq	%eax, %rdx
	movl	%eax, idx(%rip)
	movl	$0, (%r12,%rdx,4)
	cmpl	$1, %ebp
	jne	.L59
	jmp	.L1
	.p2align 4,,10
	.p2align 3
.L2:
	movl	idx(%rip), %eax
	leaq	a(%rip), %rbx
	subl	$1, %eax
	cmpl	$1, %eax
	jle	.L5
	movl	$1, %ebp
	leaq	.LC0(%rip), %r12
	.p2align 4,,10
	.p2align 3
.L6:
	movl	(%rbx,%rbp,4), %edx
	movq	%r12, %rsi
	movl	$1, %edi
	xorl	%eax, %eax
	addq	$1, %rbp
	call	__printf_chk@PLT
	movl	idx(%rip), %eax
	subl	$1, %eax
	cmpl	%ebp, %eax
	jg	.L6
.L5:
	cltq
	leaq	.LC1(%rip), %rsi
	movl	$1, %edi
	movl	(%rbx,%rax,4), %edx
	popq	%rbx
	.cfi_remember_state
	.cfi_def_cfa_offset 24
	xorl	%eax, %eax
	popq	%rbp
	.cfi_def_cfa_offset 16
	popq	%r12
	.cfi_def_cfa_offset 8
	jmp	__printf_chk@PLT
	.p2align 4,,10
	.p2align 3
.L52:
	.cfi_restore_state
	movslq	idx(%rip), %rax
	leaq	a(%rip), %r12
	leal	1(%rbx), %edi
	movl	%ebp, %esi
	movl	$1, 16+used(%rip)
	movl	$4, (%r12,%rax,4)
	leal	1(%rax), %edx
	movl	%edx, idx(%rip)
	call	dfs
	movl	idx(%rip), %eax
	movl	$0, 16+used(%rip)
	subl	$1, %eax
	movslq	%eax, %rdx
	movl	%eax, idx(%rip)
	movl	$0, (%r12,%rdx,4)
	jmp	.L11
	.p2align 4,,10
	.p2align 3
.L53:
	movslq	idx(%rip), %rax
	leaq	a(%rip), %r12
	leal	1(%rbx), %edi
	movl	%ebp, %esi
	movl	$1, 20+used(%rip)
	movl	$5, (%r12,%rax,4)
	leal	1(%rax), %edx
	movl	%edx, idx(%rip)
	call	dfs
	movl	idx(%rip), %eax
	movl	$0, 20+used(%rip)
	subl	$1, %eax
	movslq	%eax, %rdx
	movl	%eax, idx(%rip)
	movl	$0, (%r12,%rdx,4)
	jmp	.L12
	.p2align 4,,10
	.p2align 3
.L50:
	movslq	idx(%rip), %rax
	leaq	a(%rip), %r12
	leal	1(%rbx), %edi
	movl	%ebp, %esi
	movl	$1, 8+used(%rip)
	movl	$2, (%r12,%rax,4)
	leal	1(%rax), %edx
	movl	%edx, idx(%rip)
	call	dfs
	movl	idx(%rip), %eax
	movl	$0, 8+used(%rip)
	subl	$1, %eax
	movslq	%eax, %rdx
	movl	%eax, idx(%rip)
	movl	$0, (%r12,%rdx,4)
	jmp	.L9
	.p2align 4,,10
	.p2align 3
.L51:
	movslq	idx(%rip), %rax
	leaq	a(%rip), %r12
	leal	1(%rbx), %edi
	movl	%ebp, %esi
	movl	$1, 12+used(%rip)
	movl	$3, (%r12,%rax,4)
	leal	1(%rax), %edx
	movl	%edx, idx(%rip)
	call	dfs
	movl	idx(%rip), %eax
	movl	$0, 12+used(%rip)
	subl	$1, %eax
	movslq	%eax, %rdx
	movl	%eax, idx(%rip)
	movl	$0, (%r12,%rdx,4)
	jmp	.L10
	.p2align 4,,10
	.p2align 3
.L54:
	movslq	idx(%rip), %rax
	leaq	a(%rip), %r12
	leal	1(%rbx), %edi
	movl	%ebp, %esi
	movl	$1, 24+used(%rip)
	movl	$6, (%r12,%rax,4)
	leal	1(%rax), %edx
	movl	%edx, idx(%rip)
	call	dfs
	movl	idx(%rip), %eax
	movl	$0, 24+used(%rip)
	subl	$1, %eax
	movslq	%eax, %rdx
	movl	%eax, idx(%rip)
	movl	$0, (%r12,%rdx,4)
	jmp	.L13
.L58:
	movslq	idx(%rip), %rax
	leaq	a(%rip), %r12
	leal	1(%rbx), %edi
	movl	%ebp, %esi
	movl	$1, 40+used(%rip)
	movl	$10, (%r12,%rax,4)
	leal	1(%rax), %edx
	movl	%edx, idx(%rip)
	call	dfs
	movl	idx(%rip), %eax
	movl	$0, 40+used(%rip)
	subl	$1, %eax
	movslq	%eax, %rdx
	movl	%eax, idx(%rip)
	movl	$0, (%r12,%rdx,4)
	jmp	.L1
	.p2align 4,,10
	.p2align 3
.L55:
	movslq	idx(%rip), %rax
	leaq	a(%rip), %r12
	leal	1(%rbx), %edi
	movl	%ebp, %esi
	movl	$1, 28+used(%rip)
	movl	$7, (%r12,%rax,4)
	leal	1(%rax), %edx
	movl	%edx, idx(%rip)
	call	dfs
	movl	idx(%rip), %eax
	movl	$0, 28+used(%rip)
	subl	$1, %eax
	movslq	%eax, %rdx
	movl	%eax, idx(%rip)
	movl	$0, (%r12,%rdx,4)
	jmp	.L14
.L56:
	movslq	idx(%rip), %rax
	leaq	a(%rip), %r12
	leal	1(%rbx), %edi
	movl	%ebp, %esi
	movl	$1, 32+used(%rip)
	movl	$8, (%r12,%rax,4)
	leal	1(%rax), %edx
	movl	%edx, idx(%rip)
	call	dfs
	movl	idx(%rip), %eax
	movl	$0, 32+used(%rip)
	subl	$1, %eax
	movslq	%eax, %rdx
	movl	%eax, idx(%rip)
	movl	$0, (%r12,%rdx,4)
	jmp	.L15
.L57:
	movslq	idx(%rip), %rax
	leaq	a(%rip), %r12
	leal	1(%rbx), %edi
	movl	%ebp, %esi
	movl	$1, 36+used(%rip)
	movl	$9, (%r12,%rax,4)
	leal	1(%rax), %edx
	movl	%edx, idx(%rip)
	call	dfs
	movl	idx(%rip), %eax
	movl	$0, 36+used(%rip)
	subl	$1, %eax
	movslq	%eax, %rdx
	movl	%eax, idx(%rip)
	movl	$0, (%r12,%rdx,4)
	jmp	.L16
	.cfi_endproc
.LFE23:
	.size	dfs, .-dfs
	.section	.rodata.str1.1
.LC2:
	.string	"%d"
	.section	.text.startup,"ax",@progbits
	.p2align 4
	.globl	main
	.type	main, @function
main:
.LFB24:
	.cfi_startproc
	endbr64
	subq	$24, %rsp
	.cfi_def_cfa_offset 32
	leaq	.LC2(%rip), %rdi
	movq	%fs:40, %rax
	movq	%rax, 8(%rsp)
	xorl	%eax, %eax
	leaq	4(%rsp), %rsi
	call	__isoc99_scanf@PLT
	movl	4(%rsp), %esi
	xorl	%edi, %edi
	call	dfs
	movq	8(%rsp), %rax
	subq	%fs:40, %rax
	jne	.L63
	xorl	%eax, %eax
	addq	$24, %rsp
	.cfi_remember_state
	.cfi_def_cfa_offset 8
	ret
.L63:
	.cfi_restore_state
	call	__stack_chk_fail@PLT
	.cfi_endproc
.LFE24:
	.size	main, .-main
	.globl	idx
	.data
	.align 4
	.type	idx, @object
	.size	idx, 4
idx:
	.long	1
	.globl	used
	.bss
	.align 32
	.type	used, @object
	.size	used, 44
used:
	.zero	44
	.globl	a
	.align 32
	.type	a, @object
	.size	a, 44
a:
	.zero	44
	.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 "
.LC1:
	.string	"%d\n"
	.text
	.p2align 4
	.globl	dfs
	.type	dfs, @function
dfs:
.LFB23:
	.cfi_startproc
	endbr64
	pushq	%r12
	.cfi_def_cfa_offset 16
	.cfi_offset 12, -16
	pushq	%rbp
	.cfi_def_cfa_offset 24
	.cfi_offset 6, -24
	pushq	%rbx
	.cfi_def_cfa_offset 32
	.cfi_offset 3, -32
	cmpl	%esi, %edi
	je	.L2
	movl	%esi, %ebp
	testl	%esi, %esi
	jle	.L1
	movl	4+used(%rip), %r12d
	movl	%edi, %ebx
	testl	%r12d, %r12d
	je	.L49
	cmpl	$1, %ebp
	je	.L1
.L59:
	movl	8+used(%rip), %r11d
	testl	%r11d, %r11d
	je	.L50
.L9:
	cmpl	$2, %ebp
	je	.L1
	movl	12+used(%rip), %r10d
	testl	%r10d, %r10d
	je	.L51
.L10:
	cmpl	$3, %ebp
	je	.L1
	movl	16+used(%rip), %r9d
	testl	%r9d, %r9d
	je	.L52
.L11:
	cmpl	$4, %ebp
	je	.L1
	movl	20+used(%rip), %r8d
	testl	%r8d, %r8d
	je	.L53
.L12:
	cmpl	$5, %ebp
	je	.L1
	movl	24+used(%rip), %edi
	testl	%edi, %edi
	je	.L54
.L13:
	cmpl	$6, %ebp
	je	.L1
	movl	28+used(%rip), %esi
	testl	%esi, %esi
	je	.L55
.L14:
	cmpl	$7, %ebp
	je	.L1
	movl	32+used(%rip), %ecx
	testl	%ecx, %ecx
	je	.L56
.L15:
	cmpl	$8, %ebp
	je	.L1
	movl	36+used(%rip), %edx
	testl	%edx, %edx
	je	.L57
.L16:
	cmpl	$9, %ebp
	je	.L1
	movl	40+used(%rip), %eax
	testl	%eax, %eax
	je	.L58
.L1:
	popq	%rbx
	.cfi_remember_state
	.cfi_def_cfa_offset 24
	popq	%rbp
	.cfi_def_cfa_offset 16
	popq	%r12
	.cfi_def_cfa_offset 8
	ret
	.p2align 4,,10
	.p2align 3
.L49:
	.cfi_restore_state
	movslq	idx(%rip), %rax
	leal	1(%rdi), %edi
	leaq	a(%rip), %r12
	movl	$1, 4+used(%rip)
	movl	$1, (%r12,%rax,4)
	leal	1(%rax), %edx
	movl	%edx, idx(%rip)
	call	dfs
	movl	idx(%rip), %eax
	movl	$0, 4+used(%rip)
	subl	$1, %eax
	movslq	%eax, %rdx
	movl	%eax, idx(%rip)
	movl	$0, (%r12,%rdx,4)
	cmpl	$1, %ebp
	jne	.L59
	jmp	.L1
	.p2align 4,,10
	.p2align 3
.L2:
	movl	idx(%rip), %eax
	leaq	a(%rip), %rbx
	subl	$1, %eax
	cmpl	$1, %eax
	jle	.L5
	movl	$1, %ebp
	leaq	.LC0(%rip), %r12
	.p2align 4,,10
	.p2align 3
.L6:
	movl	(%rbx,%rbp,4), %edx
	movq	%r12, %rsi
	movl	$1, %edi
	xorl	%eax, %eax
	addq	$1, %rbp
	call	__printf_chk@PLT
	movl	idx(%rip), %eax
	subl	$1, %eax
	cmpl	%ebp, %eax
	jg	.L6
.L5:
	cltq
	leaq	.LC1(%rip), %rsi
	movl	$1, %edi
	movl	(%rbx,%rax,4), %edx
	popq	%rbx
	.cfi_remember_state
	.cfi_def_cfa_offset 24
	xorl	%eax, %eax
	popq	%rbp
	.cfi_def_cfa_offset 16
	popq	%r12
	.cfi_def_cfa_offset 8
	jmp	__printf_chk@PLT
	.p2align 4,,10
	.p2align 3
.L52:
	.cfi_restore_state
	movslq	idx(%rip), %rax
	leaq	a(%rip), %r12
	leal	1(%rbx), %edi
	movl	%ebp, %esi
	movl	$1, 16+used(%rip)
	movl	$4, (%r12,%rax,4)
	leal	1(%rax), %edx
	movl	%edx, idx(%rip)
	call	dfs
	movl	idx(%rip), %eax
	movl	$0, 16+used(%rip)
	subl	$1, %eax
	movslq	%eax, %rdx
	movl	%eax, idx(%rip)
	movl	$0, (%r12,%rdx,4)
	jmp	.L11
	.p2align 4,,10
	.p2align 3
.L53:
	movslq	idx(%rip), %rax
	leaq	a(%rip), %r12
	leal	1(%rbx), %edi
	movl	%ebp, %esi
	movl	$1, 20+used(%rip)
	movl	$5, (%r12,%rax,4)
	leal	1(%rax), %edx
	movl	%edx, idx(%rip)
	call	dfs
	movl	idx(%rip), %eax
	movl	$0, 20+used(%rip)
	subl	$1, %eax
	movslq	%eax, %rdx
	movl	%eax, idx(%rip)
	movl	$0, (%r12,%rdx,4)
	jmp	.L12
	.p2align 4,,10
	.p2align 3
.L50:
	movslq	idx(%rip), %rax
	leaq	a(%rip), %r12
	leal	1(%rbx), %edi
	movl	%ebp, %esi
	movl	$1, 8+used(%rip)
	movl	$2, (%r12,%rax,4)
	leal	1(%rax), %edx
	movl	%edx, idx(%rip)
	call	dfs
	movl	idx(%rip), %eax
	movl	$0, 8+used(%rip)
	subl	$1, %eax
	movslq	%eax, %rdx
	movl	%eax, idx(%rip)
	movl	$0, (%r12,%rdx,4)
	jmp	.L9
	.p2align 4,,10
	.p2align 3
.L51:
	movslq	idx(%rip), %rax
	leaq	a(%rip), %r12
	leal	1(%rbx), %edi
	movl	%ebp, %esi
	movl	$1, 12+used(%rip)
	movl	$3, (%r12,%rax,4)
	leal	1(%rax), %edx
	movl	%edx, idx(%rip)
	call	dfs
	movl	idx(%rip), %eax
	movl	$0, 12+used(%rip)
	subl	$1, %eax
	movslq	%eax, %rdx
	movl	%eax, idx(%rip)
	movl	$0, (%r12,%rdx,4)
	jmp	.L10
	.p2align 4,,10
	.p2align 3
.L54:
	movslq	idx(%rip), %rax
	leaq	a(%rip), %r12
	leal	1(%rbx), %edi
	movl	%ebp, %esi
	movl	$1, 24+used(%rip)
	movl	$6, (%r12,%rax,4)
	leal	1(%rax), %edx
	movl	%edx, idx(%rip)
	call	dfs
	movl	idx(%rip), %eax
	movl	$0, 24+used(%rip)
	subl	$1, %eax
	movslq	%eax, %rdx
	movl	%eax, idx(%rip)
	movl	$0, (%r12,%rdx,4)
	jmp	.L13
.L58:
	movslq	idx(%rip), %rax
	leaq	a(%rip), %r12
	leal	1(%rbx), %edi
	movl	%ebp, %esi
	movl	$1, 40+used(%rip)
	movl	$10, (%r12,%rax,4)
	leal	1(%rax), %edx
	movl	%edx, idx(%rip)
	call	dfs
	movl	idx(%rip), %eax
	movl	$0, 40+used(%rip)
	subl	$1, %eax
	movslq	%eax, %rdx
	movl	%eax, idx(%rip)
	movl	$0, (%r12,%rdx,4)
	jmp	.L1
	.p2align 4,,10
	.p2align 3
.L55:
	movslq	idx(%rip), %rax
	leaq	a(%rip), %r12
	leal	1(%rbx), %edi
	movl	%ebp, %esi
	movl	$1, 28+used(%rip)
	movl	$7, (%r12,%rax,4)
	leal	1(%rax), %edx
	movl	%edx, idx(%rip)
	call	dfs
	movl	idx(%rip), %eax
	movl	$0, 28+used(%rip)
	subl	$1, %eax
	movslq	%eax, %rdx
	movl	%eax, idx(%rip)
	movl	$0, (%r12,%rdx,4)
	jmp	.L14
.L56:
	movslq	idx(%rip), %rax
	leaq	a(%rip), %r12
	leal	1(%rbx), %edi
	movl	%ebp, %esi
	movl	$1, 32+used(%rip)
	movl	$8, (%r12,%rax,4)
	leal	1(%rax), %edx
	movl	%edx, idx(%rip)
	call	dfs
	movl	idx(%rip), %eax
	movl	$0, 32+used(%rip)
	subl	$1, %eax
	movslq	%eax, %rdx
	movl	%eax, idx(%rip)
	movl	$0, (%r12,%rdx,4)
	jmp	.L15
.L57:
	movslq	idx(%rip), %rax
	leaq	a(%rip), %r12
	leal	1(%rbx), %edi
	movl	%ebp, %esi
	movl	$1, 36+used(%rip)
	movl	$9, (%r12,%rax,4)
	leal	1(%rax), %edx
	movl	%edx, idx(%rip)
	call	dfs
	movl	idx(%rip), %eax
	movl	$0, 36+used(%rip)
	subl	$1, %eax
	movslq	%eax, %rdx
	movl	%eax, idx(%rip)
	movl	$0, (%r12,%rdx,4)
	jmp	.L16
	.cfi_endproc
.LFE23:
	.size	dfs, .-dfs
	.section	.rodata.str1.1
.LC2:
	.string	"%d"
	.section	.text.startup,"ax",@progbits
	.p2align 4
	.globl	main
	.type	main, @function
main:
.LFB24:
	.cfi_startproc
	endbr64
	subq	$24, %rsp
	.cfi_def_cfa_offset 32
	leaq	.LC2(%rip), %rdi
	movq	%fs:40, %rax
	movq	%rax, 8(%rsp)
	xorl	%eax, %eax
	leaq	4(%rsp), %rsi
	call	__isoc99_scanf@PLT
	movl	4(%rsp), %esi
	xorl	%edi, %edi
	call	dfs
	movq	8(%rsp), %rax
	subq	%fs:40, %rax
	jne	.L63
	xorl	%eax, %eax
	addq	$24, %rsp
	.cfi_remember_state
	.cfi_def_cfa_offset 8
	ret
.L63:
	.cfi_restore_state
	call	__stack_chk_fail@PLT
	.cfi_endproc
.LFE24:
	.size	main, .-main
	.globl	idx
	.data
	.align 4
	.type	idx, @object
	.size	idx, 4
idx:
	.long	1
	.globl	used
	.bss
	.align 32
	.type	used, @object
	.size	used, 44
used:
	.zero	44
	.globl	a
	.align 32
	.type	a, @object
	.size	a, 44
a:
	.zero	44
	.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 a[11]={0};
int used[11]={0};
int idx=1;

void dfs(int d,int n){
	int i;
	
	if(d==n){
		for(i=1;i<idx-1;i++){
			printf("%d ",a[i]);
		}
		printf("%d\n",a[idx-1]);
		return;
	}
	
	for(i=1;i<=n;i++){
		if(used[i]==0){
			a[idx++]=i;  used[i]=1;
			
			dfs(d+1,n);
			
			a[idx-1]=0;  idx--;  used[i]=0;
		}
	}

	return;
}

int main(){
	int n;
	
	scanf("%d",&n);
	
	dfs(0,n);
	
	return 0;
}

1
 4
 5
 4
 1
 5

1
 1 2 3 4
1 2 4 3
1 3 2 4
1 3 4 2
1 4 2 3
1 4 3 2
2 1 3 4
2 1 4 3
2 3 1 4
2 3 4 1
2 4 1 3
2 4 3 1
3 1 2 4
3 1 4 2
3 2 1 4
3 2 4 1
3 4 1 2
3 4 2 1
4 1 2 3
4 1 3 2
4 2 1 3
4 2 3 1
4 3 1 2
4 3 2 1
 1 2 3 4 5
1 2 3 5 4
1 2 4 3 5
1 2 4 5 3
1 2 5 3 4
1 2 5 4 3
1 3 2 4 5
1 3 2 5 4
1 3 4 2 5
1 3 4 5 2
1 3 5 2 4
1 3 5 4 2
1 4 2 3 5
1 4 2 5 3
1 4 3 2 5
1 4 3 5 2
1 4 5 2 3
1 4 5 3 2
1 5 2 3 4
1 5 2 4 3
1 5 3 2 4
1 5 3 4 2
1 5 4 2 3
1 5 4 3 2
2 1 3 4 5
2 1 3 5 4
2 1 4 3 5
2 1 4 5 3
2 1 5 3 4
2 1 5 4 3
2 3 1 4 5
2 3 1 5 4
2 3 4 1 5
2 3 4 5 1
2 3 5 1 4
2 3 5 4 1
2 4 1 3 5
2 4 1 5 3
2 4 3 1 5
2 4 3 5 1
2 4 5 1 3
2 4 5 3 1
2 5 1 3 4
2 5 1 4 3
2 5 3 1 4
2 5 3 4 1
2 5 4 1 3
2 5 4 3 1
3 1 2 4 5
3 1 2 5 4
3 1 4 2 5
3 1 4 5 2
3 1 5 2 4
3 1 5 4 2
3 2 1 4 5
3 2 1 5 4
3 2 4 1 5
3 2 4 5 1
3 2 5 1 4
3 2 5 4 1
3 4 1 2 5
3 4 1 5 2
3 4 2 1 5
3 4 2 5 1
3 4 5 1 2
3 4 5 2 1
3 5 1 2 4
3 5 1 4 2
3 5 2 1 4
3 5 2 4 1
3 5 4 1 2
3 5 4 2 1
4 1 2 3 5
4 1 2 5 3
4 1 3 2 5
4 1 3 5 2
4 1 5 2 3
4 1 5 3 2
4 2 1 3 5
4 2 1 5 3
4 2 3 1 5
4 2 3 5 1
4 2 5 1 3
4 2 5 3 1
4 3 1 2 5
4 3 1 5 2
4 3 2 1 5
4 3 2 5 1
4 3 5 1 2
4 3 5 2 1
4 5 1 2 3
4 5 1 3 2
4 5 2 1 3
4 5 2 3 1
4 5 3 1 2
4 5 3 2 1
5 1 2 3 4
5 1 2 4 3
5 1 3 2 4
5 1 3 4 2
5 1 4 2 3
5 1 4 3 2
5 2 1 3 4
5 2 1 4 3
5 2 3 1 4
5 2 3 4 1
5 2 4 1 3
5 2 4 3 1
5 3 1 2 4
5 3 1 4 2
5 3 2 1 4
5 3 2 4 1
5 3 4 1 2
5 3 4 2 1
5 4 1 2 3
5 4 1 3 2
5 4 2 1 3
5 4 2 3 1
5 4 3 1 2
5 4 3 2 1
 1 2 3 4
1 2 4 3
1 3 2 4
1 3 4 2
1 4 2 3
1 4 3 2
2 1 3 4
2 1 4 3
2 3 1 4
2 3 4 1
2 4 1 3
2 4 3 1
3 1 2 4
3 1 4 2
3 2 1 4
3 2 4 1
3 4 1 2
3 4 2 1
4 1 2 3
4 1 3 2
4 2 1 3
4 2 3 1
4 3 1 2
4 3 2 1
 1
 1 2 3 4 5
1 2 3 5 4
1 2 4 3 5
1 2 4 5 3
1 2 5 3 4
1 2 5 4 3
1 3 2 4 5
1 3 2 5 4
1 3 4 2 5
1 3 4 5 2
1 3 5 2 4
1 3 5 4 2
1 4 2 3 5
1 4 2 5 3
1 4 3 2 5
1 4 3 5 2
1 4 5 2 3
1 4 5 3 2
1 5 2 3 4
1 5 2 4 3
1 5 3 2 4
1 5 3 4 2
1 5 4 2 3
1 5 4 3 2
2 1 3 4 5
2 1 3 5 4
2 1 4 3 5
2 1 4 5 3
2 1 5 3 4
2 1 5 4 3
2 3 1 4 5
2 3 1 5 4
2 3 4 1 5
2 3 4 5 1
2 3 5 1 4
2 3 5 4 1
2 4 1 3 5
2 4 1 5 3
2 4 3 1 5
2 4 3 5 1
2 4 5 1 3
2 4 5 3 1
2 5 1 3 4
2 5 1 4 3
2 5 3 1 4
2 5 3 4 1
2 5 4 1 3
2 5 4 3 1
3 1 2 4 5
3 1 2 5 4
3 1 4 2 5
3 1 4 5 2
3 1 5 2 4
3 1 5 4 2
3 2 1 4 5
3 2 1 5 4
3 2 4 1 5
3 2 4 5 1
3 2 5 1 4
3 2 5 4 1
3 4 1 2 5
3 4 1 5 2
3 4 2 1 5
3 4 2 5 1
3 4 5 1 2
3 4 5 2 1
3 5 1 2 4
3 5 1 4 2
3 5 2 1 4
3 5 2 4 1
3 5 4 1 2
3 5 4 2 1
4 1 2 3 5
4 1 2 5 3
4 1 3 2 5
4 1 3 5 2
4 1 5 2 3
4 1 5 3 2
4 2 1 3 5
4 2 1 5 3
4 2 3 1 5
4 2 3 5 1
4 2 5 1 3
4 2 5 3 1
4 3 1 2 5
4 3 1 5 2
4 3 2 1 5
4 3 2 5 1
4 3 5 1 2
4 3 5 2 1
4 5 1 2 3
4 5 1 3 2
4 5 2 1 3
4 5 2 3 1
4 5 3 1 2
4 5 3 2 1
5 1 2 3 4
5 1 2 4 3
5 1 3 2 4
5 1 3 4 2
5 1 4 2 3
5 1 4 3 2
5 2 1 3 4
5 2 1 4 3
5 2 3 1 4
5 2 3 4 1
5 2 4 1 3
5 2 4 3 1
5 3 1 2 4
5 3 1 4 2
5 3 2 1 4
5 3 2 4 1
5 3 4 1 2
5 3 4 2 1
5 4 1 2 3
5 4 1 3 2
5 4 2 1 3
5 4 2 3 1
5 4 3 1 2
5 4 3 2 1

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 a[11]={0};
int used[11]={0};
int idx=1;

void dfs(int d,int n){
	int i;
	
	if(d==n){
		for(i=1;i<idx-1;i++){
			printf("%d ",a[i]);
		}
		printf("%d\n",a[idx-1]);
		return;
	}
	
	for(i=1;i<=n;i++){
		if(used[i]==0){
			a[idx++]=i;  used[i]=1;
			
			dfs(d+1,n);
			
			a[idx-1]=0;  idx--;  used[i]=0;
		}
	}

	return;
}

int main(){
	int n;
	
	scanf("%d",&n);
	
	dfs(0,n);
	
	return 0;
}
```

Unoptimized Assembly Code:

```assembly
	.file	"temp.c"
	.text
	.globl	a
	.bss
	.align 32
	.type	a, @object
	.size	a, 44
a:
	.zero	44
	.globl	used
	.align 32
	.type	used, @object
	.size	used, 44
used:
	.zero	44
	.globl	idx
	.data
	.align 4
	.type	idx, @object
	.size	idx, 4
idx:
	.long	1
	.section	.rodata
.LC0:
	.string	"%d "
.LC1:
	.string	"%d\n"
	.text
	.globl	dfs
	.type	dfs, @function
dfs:
.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
	movl	%edi, -20(%rbp)
	movl	%esi, -24(%rbp)
	movl	-20(%rbp), %eax
	cmpl	-24(%rbp), %eax
	jne	.L2
	movl	$1, -4(%rbp)
	jmp	.L3
.L4:
	movl	-4(%rbp), %eax
	cltq
	leaq	0(,%rax,4), %rdx
	leaq	a(%rip), %rax
	movl	(%rdx,%rax), %eax
	movl	%eax, %esi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	printf@PLT
	addl	$1, -4(%rbp)
.L3:
	movl	idx(%rip), %eax
	subl	$1, %eax
	cmpl	%eax, -4(%rbp)
	jl	.L4
	movl	idx(%rip), %eax
	subl	$1, %eax
	cltq
	leaq	0(,%rax,4), %rdx
	leaq	a(%rip), %rax
	movl	(%rdx,%rax), %eax
	movl	%eax, %esi
	leaq	.LC1(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	printf@PLT
	jmp	.L1
.L2:
	movl	$1, -4(%rbp)
	jmp	.L6
.L8:
	movl	-4(%rbp), %eax
	cltq
	leaq	0(,%rax,4), %rdx
	leaq	used(%rip), %rax
	movl	(%rdx,%rax), %eax
	testl	%eax, %eax
	jne	.L7
	movl	idx(%rip), %eax
	leal	1(%rax), %edx
	movl	%edx, idx(%rip)
	cltq
	leaq	0(,%rax,4), %rcx
	leaq	a(%rip), %rdx
	movl	-4(%rbp), %eax
	movl	%eax, (%rcx,%rdx)
	movl	-4(%rbp), %eax
	cltq
	leaq	0(,%rax,4), %rdx
	leaq	used(%rip), %rax
	movl	$1, (%rdx,%rax)
	movl	-20(%rbp), %eax
	leal	1(%rax), %edx
	movl	-24(%rbp), %eax
	movl	%eax, %esi
	movl	%edx, %edi
	call	dfs
	movl	idx(%rip), %eax
	subl	$1, %eax
	cltq
	leaq	0(,%rax,4), %rdx
	leaq	a(%rip), %rax
	movl	$0, (%rdx,%rax)
	movl	idx(%rip), %eax
	subl	$1, %eax
	movl	%eax, idx(%rip)
	movl	-4(%rbp), %eax
	cltq
	leaq	0(,%rax,4), %rdx
	leaq	used(%rip), %rax
	movl	$0, (%rdx,%rax)
.L7:
	addl	$1, -4(%rbp)
.L6:
	movl	-4(%rbp), %eax
	cmpl	-24(%rbp), %eax
	jle	.L8
	nop
.L1:
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE0:
	.size	dfs, .-dfs
	.section	.rodata
.LC2:
	.string	"%d"
	.text
	.globl	main
	.type	main, @function
main:
.LFB1:
	.cfi_startproc
	endbr64
	pushq	%rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	movq	%rsp, %rbp
	.cfi_def_cfa_register 6
	subq	$16, %rsp
	movq	%fs:40, %rax
	movq	%rax, -8(%rbp)
	xorl	%eax, %eax
	leaq	-12(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC2(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movl	-12(%rbp), %eax
	movl	%eax, %esi
	movl	$0, %edi
	call	dfs
	movl	$0, %eax
	movq	-8(%rbp), %rdx
	subq	%fs:40, %rdx
	je	.L11
	call	__stack_chk_fail@PLT
.L11:
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE1:
	.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
	.globl	a
	.bss
	.align 32
	.type	a, @object
	.size	a, 44
a:
	.zero	44
	.globl	used
	.align 32
	.type	used, @object
	.size	used, 44
used:
	.zero	44
	.globl	idx
	.data
	.align 4
	.type	idx, @object
	.size	idx, 4
idx:
	.long	1
	.section	.rodata
.LC0:
	.string	"%d "
.LC1:
	.string	"%d\n"
	.text
	.globl	dfs
	.type	dfs, @function
dfs:
.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
	movl	%edi, -20(%rbp)
	movl	%esi, -24(%rbp)
	movl	-20(%rbp), %eax
	cmpl	-24(%rbp), %eax
	jne	.L2
	movl	$1, -4(%rbp)
	jmp	.L3
.L4:
	movl	-4(%rbp), %eax
	cltq
	leaq	0(,%rax,4), %rdx
	leaq	a(%rip), %rax
	movl	(%rdx,%rax), %eax
	movl	%eax, %esi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	printf@PLT
	addl	$1, -4(%rbp)
.L3:
	movl	idx(%rip), %eax
	subl	$1, %eax
	cmpl	%eax, -4(%rbp)
	jl	.L4
	movl	idx(%rip), %eax
	subl	$1, %eax
	cltq
	leaq	0(,%rax,4), %rdx
	leaq	a(%rip), %rax
	movl	(%rdx,%rax), %eax
	movl	%eax, %esi
	leaq	.LC1(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	printf@PLT
	jmp	.L1
.L2:
	movl	$1, -4(%rbp)
	jmp	.L6
.L8:
	movl	-4(%rbp), %eax
	cltq
	leaq	0(,%rax,4), %rdx
	leaq	used(%rip), %rax
	movl	(%rdx,%rax), %eax
	testl	%eax, %eax
	jne	.L7
	movl	idx(%rip), %eax
	leal	1(%rax), %edx
	movl	%edx, idx(%rip)
	cltq
	leaq	0(,%rax,4), %rcx
	leaq	a(%rip), %rdx
	movl	-4(%rbp), %eax
	movl	%eax, (%rcx,%rdx)
	movl	-4(%rbp), %eax
	cltq
	leaq	0(,%rax,4), %rdx
	leaq	used(%rip), %rax
	movl	$1, (%rdx,%rax)
	movl	-20(%rbp), %eax
	leal	1(%rax), %edx
	movl	-24(%rbp), %eax
	movl	%eax, %esi
	movl	%edx, %edi
	call	dfs
	movl	idx(%rip), %eax
	subl	$1, %eax
	cltq
	leaq	0(,%rax,4), %rdx
	leaq	a(%rip), %rax
	movl	$0, (%rdx,%rax)
	movl	idx(%rip), %eax
	subl	$1, %eax
	movl	%eax, idx(%rip)
	movl	-4(%rbp), %eax
	cltq
	leaq	0(,%rax,4), %rdx
	leaq	used(%rip), %rax
	movl	$0, (%rdx,%rax)
.L7:
	addl	$1, -4(%rbp)
.L6:
	movl	-4(%rbp), %eax
	cmpl	-24(%rbp), %eax
	jle	.L8
	nop
.L1:
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE0:
	.size	dfs, .-dfs
	.section	.rodata
.LC2:
	.string	"%d"
	.text
	.globl	main
	.type	main, @function
main:
.LFB1:
	.cfi_startproc
	endbr64
	pushq	%rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	movq	%rsp, %rbp
	.cfi_def_cfa_register 6
	subq	$16, %rsp
	movq	%fs:40, %rax
	movq	%rax, -8(%rbp)
	xorl	%eax, %eax
	leaq	-12(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC2(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movl	-12(%rbp), %eax
	movl	%eax, %esi
	movl	$0, %edi
	call	dfs
	movl	$0, %eax
	movq	-8(%rbp), %rdx
	subq	%fs:40, %rdx
	je	.L11
	call	__stack_chk_fail@PLT
.L11:
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE1:
	.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:
