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 <math.h>

int main(void) {

  long n;
  scanf("%ld", &n);
  float digits_f = log(n)/log(10)+1;
  int digits = digits_f;
  int head = (n+1)/pow(10,digits-1);
  int answer = (digits-1)*9+head-1;
  printf("%d\n", answer);

  return 0;
}```

Unoptimized Assembly Code:

```assembly
	.file	"temp.c"
	.text
	.section	.rodata
.LC0:
	.string	"%ld"
.LC4:
	.string	"%d\n"
	.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	$48, %rsp
	movq	%fs:40, %rax
	movq	%rax, -8(%rbp)
	xorl	%eax, %eax
	leaq	-16(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movq	-16(%rbp), %rax
	pxor	%xmm3, %xmm3
	cvtsi2sdq	%rax, %xmm3
	movq	%xmm3, %rax
	movq	%rax, %xmm0
	call	log@PLT
	movq	%xmm0, %rax
	movsd	.LC1(%rip), %xmm0
	movq	%rax, %xmm1
	divsd	%xmm0, %xmm1
	movsd	.LC2(%rip), %xmm0
	addsd	%xmm1, %xmm0
	cvtsd2ss	%xmm0, %xmm0
	movss	%xmm0, -32(%rbp)
	movss	-32(%rbp), %xmm0
	cvttss2sil	%xmm0, %eax
	movl	%eax, -28(%rbp)
	movq	-16(%rbp), %rax
	addq	$1, %rax
	pxor	%xmm2, %xmm2
	cvtsi2sdq	%rax, %xmm2
	movsd	%xmm2, -40(%rbp)
	movl	-28(%rbp), %eax
	subl	$1, %eax
	pxor	%xmm0, %xmm0
	cvtsi2sdl	%eax, %xmm0
	movq	.LC3(%rip), %rax
	movapd	%xmm0, %xmm1
	movq	%rax, %xmm0
	call	pow@PLT
	movsd	-40(%rbp), %xmm1
	divsd	%xmm0, %xmm1
	cvttsd2sil	%xmm1, %eax
	movl	%eax, -24(%rbp)
	movl	-28(%rbp), %eax
	leal	-1(%rax), %edx
	movl	%edx, %eax
	sall	$3, %eax
	addl	%eax, %edx
	movl	-24(%rbp), %eax
	addl	%edx, %eax
	subl	$1, %eax
	movl	%eax, -20(%rbp)
	movl	-20(%rbp), %eax
	movl	%eax, %esi
	leaq	.LC4(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	printf@PLT
	movl	$0, %eax
	movq	-8(%rbp), %rdx
	subq	%fs:40, %rdx
	je	.L3
	call	__stack_chk_fail@PLT
.L3:
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE0:
	.size	main, .-main
	.section	.rodata
	.align 8
.LC1:
	.long	-1145744106
	.long	1073900465
	.align 8
.LC2:
	.long	0
	.long	1072693248
	.align 8
.LC3:
	.long	0
	.long	1076101120
	.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	"%ld"
.LC4:
	.string	"%d\n"
	.section	.text.startup,"ax",@progbits
	.p2align 4
	.globl	main
	.type	main, @function
main:
.LFB23:
	.cfi_startproc
	endbr64
	pushq	%rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	leaq	.LC0(%rip), %rdi
	pushq	%rbx
	.cfi_def_cfa_offset 24
	.cfi_offset 3, -24
	subq	$24, %rsp
	.cfi_def_cfa_offset 48
	movq	%fs:40, %rax
	movq	%rax, 8(%rsp)
	xorl	%eax, %eax
	movq	%rsp, %rsi
	call	__isoc99_scanf@PLT
	movq	(%rsp), %rbp
	pxor	%xmm0, %xmm0
	cvtsi2sdq	%rbp, %xmm0
	addq	$1, %rbp
	call	log@PLT
	divsd	.LC1(%rip), %xmm0
	pxor	%xmm1, %xmm1
	addsd	.LC2(%rip), %xmm0
	cvtsd2ss	%xmm0, %xmm0
	cvttss2sil	%xmm0, %ebx
	movsd	.LC3(%rip), %xmm0
	subl	$1, %ebx
	cvtsi2sdl	%ebx, %xmm1
	call	pow@PLT
	leal	(%rbx,%rbx,8), %eax
	movl	$1, %edi
	leaq	.LC4(%rip), %rsi
	movapd	%xmm0, %xmm1
	pxor	%xmm0, %xmm0
	cvtsi2sdq	%rbp, %xmm0
	divsd	%xmm1, %xmm0
	cvttsd2sil	%xmm0, %edx
	leal	-1(%rdx,%rax), %edx
	xorl	%eax, %eax
	call	__printf_chk@PLT
	movq	8(%rsp), %rax
	subq	%fs:40, %rax
	jne	.L5
	addq	$24, %rsp
	.cfi_remember_state
	.cfi_def_cfa_offset 24
	xorl	%eax, %eax
	popq	%rbx
	.cfi_def_cfa_offset 16
	popq	%rbp
	.cfi_def_cfa_offset 8
	ret
.L5:
	.cfi_restore_state
	call	__stack_chk_fail@PLT
	.cfi_endproc
.LFE23:
	.size	main, .-main
	.section	.rodata.cst8,"aM",@progbits,8
	.align 8
.LC1:
	.long	-1145744106
	.long	1073900465
	.align 8
.LC2:
	.long	0
	.long	1072693248
	.align 8
.LC3:
	.long	0
	.long	1076101120
	.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	"%ld"
.LC4:
	.string	"%d\n"
	.section	.text.startup,"ax",@progbits
	.p2align 4
	.globl	main
	.type	main, @function
main:
.LFB23:
	.cfi_startproc
	endbr64
	pushq	%rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	leaq	.LC0(%rip), %rdi
	pushq	%rbx
	.cfi_def_cfa_offset 24
	.cfi_offset 3, -24
	subq	$24, %rsp
	.cfi_def_cfa_offset 48
	movq	%fs:40, %rax
	movq	%rax, 8(%rsp)
	xorl	%eax, %eax
	movq	%rsp, %rsi
	call	__isoc99_scanf@PLT
	movq	(%rsp), %rbp
	pxor	%xmm0, %xmm0
	cvtsi2sdq	%rbp, %xmm0
	addq	$1, %rbp
	call	log@PLT
	divsd	.LC1(%rip), %xmm0
	pxor	%xmm1, %xmm1
	addsd	.LC2(%rip), %xmm0
	cvtsd2ss	%xmm0, %xmm0
	cvttss2sil	%xmm0, %ebx
	movsd	.LC3(%rip), %xmm0
	subl	$1, %ebx
	cvtsi2sdl	%ebx, %xmm1
	call	pow@PLT
	leal	(%rbx,%rbx,8), %eax
	movl	$1, %edi
	leaq	.LC4(%rip), %rsi
	movapd	%xmm0, %xmm1
	pxor	%xmm0, %xmm0
	cvtsi2sdq	%rbp, %xmm0
	divsd	%xmm1, %xmm0
	cvttsd2sil	%xmm0, %edx
	leal	-1(%rdx,%rax), %edx
	xorl	%eax, %eax
	call	__printf_chk@PLT
	movq	8(%rsp), %rax
	subq	%fs:40, %rax
	jne	.L5
	addq	$24, %rsp
	.cfi_remember_state
	.cfi_def_cfa_offset 24
	xorl	%eax, %eax
	popq	%rbx
	.cfi_def_cfa_offset 16
	popq	%rbp
	.cfi_def_cfa_offset 8
	ret
.L5:
	.cfi_restore_state
	call	__stack_chk_fail@PLT
	.cfi_endproc
.LFE23:
	.size	main, .-main
	.section	.rodata.cst8,"aM",@progbits,8
	.align 8
.LC1:
	.long	-1145744106
	.long	1073900465
	.align 8
.LC2:
	.long	0
	.long	1072693248
	.align 8
.LC3:
	.long	0
	.long	1076101120
	.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 <math.h>

int main(void) {

  long n;
  scanf("%ld", &n);
  float digits_f = log(n)/log(10)+1;
  int digits = digits_f;
  int head = (n+1)/pow(10,digits-1);
  int answer = (digits-1)*9+head-1;
  printf("%d\n", answer);

  return 0;
}
1265641936938969
 101
 613
 1180
 2005985506723837
 78
 813322357948504
 127248513971408
 46390584841058
 51

135
 18
 23
 27
 136
 15
 133
 126
 120
 13

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 <math.h>

int main(void) {

  long n;
  scanf("%ld", &n);
  float digits_f = log(n)/log(10)+1;
  int digits = digits_f;
  int head = (n+1)/pow(10,digits-1);
  int answer = (digits-1)*9+head-1;
  printf("%d\n", answer);

  return 0;
}```

Unoptimized Assembly Code:

```assembly
	.file	"temp.c"
	.text
	.section	.rodata
.LC0:
	.string	"%ld"
.LC4:
	.string	"%d\n"
	.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	$48, %rsp
	movq	%fs:40, %rax
	movq	%rax, -8(%rbp)
	xorl	%eax, %eax
	leaq	-16(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movq	-16(%rbp), %rax
	pxor	%xmm3, %xmm3
	cvtsi2sdq	%rax, %xmm3
	movq	%xmm3, %rax
	movq	%rax, %xmm0
	call	log@PLT
	movq	%xmm0, %rax
	movsd	.LC1(%rip), %xmm0
	movq	%rax, %xmm1
	divsd	%xmm0, %xmm1
	movsd	.LC2(%rip), %xmm0
	addsd	%xmm1, %xmm0
	cvtsd2ss	%xmm0, %xmm0
	movss	%xmm0, -32(%rbp)
	movss	-32(%rbp), %xmm0
	cvttss2sil	%xmm0, %eax
	movl	%eax, -28(%rbp)
	movq	-16(%rbp), %rax
	addq	$1, %rax
	pxor	%xmm2, %xmm2
	cvtsi2sdq	%rax, %xmm2
	movsd	%xmm2, -40(%rbp)
	movl	-28(%rbp), %eax
	subl	$1, %eax
	pxor	%xmm0, %xmm0
	cvtsi2sdl	%eax, %xmm0
	movq	.LC3(%rip), %rax
	movapd	%xmm0, %xmm1
	movq	%rax, %xmm0
	call	pow@PLT
	movsd	-40(%rbp), %xmm1
	divsd	%xmm0, %xmm1
	cvttsd2sil	%xmm1, %eax
	movl	%eax, -24(%rbp)
	movl	-28(%rbp), %eax
	leal	-1(%rax), %edx
	movl	%edx, %eax
	sall	$3, %eax
	addl	%eax, %edx
	movl	-24(%rbp), %eax
	addl	%edx, %eax
	subl	$1, %eax
	movl	%eax, -20(%rbp)
	movl	-20(%rbp), %eax
	movl	%eax, %esi
	leaq	.LC4(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	printf@PLT
	movl	$0, %eax
	movq	-8(%rbp), %rdx
	subq	%fs:40, %rdx
	je	.L3
	call	__stack_chk_fail@PLT
.L3:
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE0:
	.size	main, .-main
	.section	.rodata
	.align 8
.LC1:
	.long	-1145744106
	.long	1073900465
	.align 8
.LC2:
	.long	0
	.long	1072693248
	.align 8
.LC3:
	.long	0
	.long	1076101120
	.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	"%ld"
.LC4:
	.string	"%d\n"
	.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	$48, %rsp
	movq	%fs:40, %rax
	movq	%rax, -8(%rbp)
	xorl	%eax, %eax
	leaq	-16(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movq	-16(%rbp), %rax
	pxor	%xmm3, %xmm3
	cvtsi2sdq	%rax, %xmm3
	movq	%xmm3, %rax
	movq	%rax, %xmm0
	call	log@PLT
	movq	%xmm0, %rax
	movsd	.LC1(%rip), %xmm0
	movq	%rax, %xmm1
	divsd	%xmm0, %xmm1
	movsd	.LC2(%rip), %xmm0
	addsd	%xmm1, %xmm0
	cvtsd2ss	%xmm0, %xmm0
	movss	%xmm0, -32(%rbp)
	movss	-32(%rbp), %xmm0
	cvttss2sil	%xmm0, %eax
	movl	%eax, -28(%rbp)
	movq	-16(%rbp), %rax
	addq	$1, %rax
	pxor	%xmm2, %xmm2
	cvtsi2sdq	%rax, %xmm2
	movsd	%xmm2, -40(%rbp)
	movl	-28(%rbp), %eax
	subl	$1, %eax
	pxor	%xmm0, %xmm0
	cvtsi2sdl	%eax, %xmm0
	movq	.LC3(%rip), %rax
	movapd	%xmm0, %xmm1
	movq	%rax, %xmm0
	call	pow@PLT
	movsd	-40(%rbp), %xmm1
	divsd	%xmm0, %xmm1
	cvttsd2sil	%xmm1, %eax
	movl	%eax, -24(%rbp)
	movl	-28(%rbp), %eax
	leal	-1(%rax), %edx
	movl	%edx, %eax
	sall	$3, %eax
	addl	%eax, %edx
	movl	-24(%rbp), %eax
	addl	%edx, %eax
	subl	$1, %eax
	movl	%eax, -20(%rbp)
	movl	-20(%rbp), %eax
	movl	%eax, %esi
	leaq	.LC4(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	printf@PLT
	movl	$0, %eax
	movq	-8(%rbp), %rdx
	subq	%fs:40, %rdx
	je	.L3
	call	__stack_chk_fail@PLT
.L3:
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE0:
	.size	main, .-main
	.section	.rodata
	.align 8
.LC1:
	.long	-1145744106
	.long	1073900465
	.align 8
.LC2:
	.long	0
	.long	1072693248
	.align 8
.LC3:
	.long	0
	.long	1076101120
	.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:
