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 n;
    int digit;

    while (1){
        scanf("%d", &n);
        if (n == -1){
            break;
        }
        digit = 1;
        while (digit * 4 <= n){
            digit *= 4;
        }
        while (digit > 0){
            printf("%d", n / digit);
            n %= digit;
            digit /= 4;
        }
        printf("\n");
    }

    return (0);
}```

Unoptimized Assembly Code:

```assembly
	.file	"temp.c"
	.text
	.section	.rodata
.LC0:
	.string	"%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	$16, %rsp
	movq	%fs:40, %rax
	movq	%rax, -8(%rbp)
	xorl	%eax, %eax
.L8:
	leaq	-16(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movl	-16(%rbp), %eax
	cmpl	$-1, %eax
	je	.L12
	movl	$1, -12(%rbp)
	jmp	.L4
.L5:
	sall	$2, -12(%rbp)
.L4:
	movl	-12(%rbp), %eax
	leal	0(,%rax,4), %edx
	movl	-16(%rbp), %eax
	cmpl	%eax, %edx
	jle	.L5
	jmp	.L6
.L7:
	movl	-16(%rbp), %eax
	cltd
	idivl	-12(%rbp)
	movl	%eax, %esi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	printf@PLT
	movl	-16(%rbp), %eax
	cltd
	idivl	-12(%rbp)
	movl	%edx, %eax
	movl	%eax, -16(%rbp)
	movl	-12(%rbp), %eax
	leal	3(%rax), %edx
	testl	%eax, %eax
	cmovs	%edx, %eax
	sarl	$2, %eax
	movl	%eax, -12(%rbp)
.L6:
	cmpl	$0, -12(%rbp)
	jg	.L7
	movl	$10, %edi
	call	putchar@PLT
	jmp	.L8
.L12:
	nop
	movl	$0, %eax
	movq	-8(%rbp), %rdx
	subq	%fs:40, %rdx
	je	.L10
	call	__stack_chk_fail@PLT
.L10:
	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"
	.section	.text.startup,"ax",@progbits
	.p2align 4
	.globl	main
	.type	main, @function
main:
.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
	leaq	.LC0(%rip), %rbp
	pushq	%rbx
	.cfi_def_cfa_offset 32
	.cfi_offset 3, -32
	subq	$16, %rsp
	.cfi_def_cfa_offset 48
	movq	%fs:40, %rax
	movq	%rax, 8(%rsp)
	xorl	%eax, %eax
	leaq	4(%rsp), %r12
	.p2align 4,,10
	.p2align 3
.L5:
	movq	%r12, %rsi
	movq	%rbp, %rdi
	xorl	%eax, %eax
	call	__isoc99_scanf@PLT
	movl	4(%rsp), %edx
	cmpl	$-1, %edx
	je	.L2
	movl	$1, %eax
	.p2align 4,,10
	.p2align 3
.L3:
	movl	%eax, %ebx
	leal	0(,%rax,4), %eax
	cmpl	%eax, %edx
	jge	.L3
	testl	%ebx, %ebx
	jle	.L6
	.p2align 4,,10
	.p2align 3
.L4:
	movl	%edx, %eax
	movq	%rbp, %rsi
	movl	$1, %edi
	cltd
	idivl	%ebx
	movl	%eax, %edx
	xorl	%eax, %eax
	call	__printf_chk@PLT
	movl	4(%rsp), %eax
	cltd
	idivl	%ebx
	sarl	$2, %ebx
	movl	%edx, 4(%rsp)
	jne	.L4
.L6:
	movl	$10, %edi
	call	putchar@PLT
	jmp	.L5
	.p2align 4,,10
	.p2align 3
.L2:
	movq	8(%rsp), %rax
	subq	%fs:40, %rax
	jne	.L13
	addq	$16, %rsp
	.cfi_remember_state
	.cfi_def_cfa_offset 32
	xorl	%eax, %eax
	popq	%rbx
	.cfi_def_cfa_offset 24
	popq	%rbp
	.cfi_def_cfa_offset 16
	popq	%r12
	.cfi_def_cfa_offset 8
	ret
.L13:
	.cfi_restore_state
	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"
	.section	.text.startup,"ax",@progbits
	.p2align 4
	.globl	main
	.type	main, @function
main:
.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
	leaq	.LC0(%rip), %rbp
	pushq	%rbx
	.cfi_def_cfa_offset 32
	.cfi_offset 3, -32
	subq	$16, %rsp
	.cfi_def_cfa_offset 48
	movq	%fs:40, %rax
	movq	%rax, 8(%rsp)
	xorl	%eax, %eax
	leaq	4(%rsp), %r12
	.p2align 4,,10
	.p2align 3
.L5:
	movq	%r12, %rsi
	movq	%rbp, %rdi
	xorl	%eax, %eax
	call	__isoc99_scanf@PLT
	movl	4(%rsp), %edx
	cmpl	$-1, %edx
	je	.L2
	movl	$1, %eax
	.p2align 4,,10
	.p2align 3
.L3:
	movl	%eax, %ebx
	leal	0(,%rax,4), %eax
	cmpl	%eax, %edx
	jge	.L3
	testl	%ebx, %ebx
	jle	.L6
	.p2align 4,,10
	.p2align 3
.L4:
	movl	%edx, %eax
	movq	%rbp, %rsi
	movl	$1, %edi
	cltd
	idivl	%ebx
	movl	%eax, %edx
	xorl	%eax, %eax
	call	__printf_chk@PLT
	movl	4(%rsp), %eax
	cltd
	idivl	%ebx
	sarl	$2, %ebx
	movl	%edx, 4(%rsp)
	jne	.L4
.L6:
	movl	$10, %edi
	call	putchar@PLT
	jmp	.L5
	.p2align 4,,10
	.p2align 3
.L2:
	movq	8(%rsp), %rax
	subq	%fs:40, %rax
	jne	.L13
	addq	$16, %rsp
	.cfi_remember_state
	.cfi_def_cfa_offset 32
	xorl	%eax, %eax
	popq	%rbx
	.cfi_def_cfa_offset 24
	popq	%rbp
	.cfi_def_cfa_offset 16
	popq	%r12
	.cfi_def_cfa_offset 8
	ret
.L13:
	.cfi_restore_state
	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 n;
    int digit;

    while (1){
        scanf("%d", &n);
        if (n == -1){
            break;
        }
        digit = 1;
        while (digit * 4 <= n){
            digit *= 4;
        }
        while (digit > 0){
            printf("%d", n / digit);
            n %= digit;
            digit /= 4;
        }
        printf("\n");
    }

    return (0);
}
7
4
0
12
10
10010
-1
 7
4
0
12
4
10000
-1
 7
4
0
13
10
10010
-1
 7
4
0
12
6
10000
-1
 7
4
0
24
10
10010
-1
 7
4
1
12
6
10000
-1
 7
4
1
24
10
10010
-1
 7
6
1
12
6
10000
-1
 7
1
1
24
10
10010
-1
 7
6
1
12
11
10000
-1

13
10
0
30
22
2130122
 13
10
0
30
10
2130100
 13
10
0
31
22
2130122
 13
10
0
30
12
2130100
 13
10
0
120
22
2130122
 13
10
1
30
12
2130100
 13
10
1
120
22
2130122
 13
12
1
30
12
2130100
 13
1
1
120
22
2130122
 13
12
1
30
23
2130100

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 n;
    int digit;

    while (1){
        scanf("%d", &n);
        if (n == -1){
            break;
        }
        digit = 1;
        while (digit * 4 <= n){
            digit *= 4;
        }
        while (digit > 0){
            printf("%d", n / digit);
            n %= digit;
            digit /= 4;
        }
        printf("\n");
    }

    return (0);
}```

Unoptimized Assembly Code:

```assembly
	.file	"temp.c"
	.text
	.section	.rodata
.LC0:
	.string	"%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	$16, %rsp
	movq	%fs:40, %rax
	movq	%rax, -8(%rbp)
	xorl	%eax, %eax
.L8:
	leaq	-16(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movl	-16(%rbp), %eax
	cmpl	$-1, %eax
	je	.L12
	movl	$1, -12(%rbp)
	jmp	.L4
.L5:
	sall	$2, -12(%rbp)
.L4:
	movl	-12(%rbp), %eax
	leal	0(,%rax,4), %edx
	movl	-16(%rbp), %eax
	cmpl	%eax, %edx
	jle	.L5
	jmp	.L6
.L7:
	movl	-16(%rbp), %eax
	cltd
	idivl	-12(%rbp)
	movl	%eax, %esi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	printf@PLT
	movl	-16(%rbp), %eax
	cltd
	idivl	-12(%rbp)
	movl	%edx, %eax
	movl	%eax, -16(%rbp)
	movl	-12(%rbp), %eax
	leal	3(%rax), %edx
	testl	%eax, %eax
	cmovs	%edx, %eax
	sarl	$2, %eax
	movl	%eax, -12(%rbp)
.L6:
	cmpl	$0, -12(%rbp)
	jg	.L7
	movl	$10, %edi
	call	putchar@PLT
	jmp	.L8
.L12:
	nop
	movl	$0, %eax
	movq	-8(%rbp), %rdx
	subq	%fs:40, %rdx
	je	.L10
	call	__stack_chk_fail@PLT
.L10:
	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"
	.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	$16, %rsp
	movq	%fs:40, %rax
	movq	%rax, -8(%rbp)
	xorl	%eax, %eax
.L8:
	leaq	-16(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movl	-16(%rbp), %eax
	cmpl	$-1, %eax
	je	.L12
	movl	$1, -12(%rbp)
	jmp	.L4
.L5:
	sall	$2, -12(%rbp)
.L4:
	movl	-12(%rbp), %eax
	leal	0(,%rax,4), %edx
	movl	-16(%rbp), %eax
	cmpl	%eax, %edx
	jle	.L5
	jmp	.L6
.L7:
	movl	-16(%rbp), %eax
	cltd
	idivl	-12(%rbp)
	movl	%eax, %esi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	printf@PLT
	movl	-16(%rbp), %eax
	cltd
	idivl	-12(%rbp)
	movl	%edx, %eax
	movl	%eax, -16(%rbp)
	movl	-12(%rbp), %eax
	leal	3(%rax), %edx
	testl	%eax, %eax
	cmovs	%edx, %eax
	sarl	$2, %eax
	movl	%eax, -12(%rbp)
.L6:
	cmpl	$0, -12(%rbp)
	jg	.L7
	movl	$10, %edi
	call	putchar@PLT
	jmp	.L8
.L12:
	nop
	movl	$0, %eax
	movq	-8(%rbp), %rdx
	subq	%fs:40, %rdx
	je	.L10
	call	__stack_chk_fail@PLT
.L10:
	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:
