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

```c
long n,a;m=10;main(){for(scanf("%ld",&n);a++*a<n;)m=n%a?m:fmin(m,1+fmax(log10(a),log10(n/a)));printf("%d",m);}```

Assembly Code:

```assembly
	.file	"temp.c"
	.text
	.section	.rodata.str1.1,"aMS",@progbits,1
.LC0:
	.string	"%ld"
.LC2:
	.string	"%d"
	.section	.text.startup,"ax",@progbits
	.p2align 4
	.globl	main
	.type	main, @function
main:
.LFB0:
	.cfi_startproc
	endbr64
	pushq	%r12
	.cfi_def_cfa_offset 16
	.cfi_offset 12, -16
	leaq	n(%rip), %rsi
	leaq	.LC0(%rip), %rdi
	xorl	%eax, %eax
	pushq	%rbp
	.cfi_def_cfa_offset 24
	.cfi_offset 6, -24
	pushq	%rbx
	.cfi_def_cfa_offset 32
	.cfi_offset 3, -32
	subq	$16, %rsp
	.cfi_def_cfa_offset 48
	call	scanf@PLT
	movq	a(%rip), %rax
	movq	n(%rip), %r12
	movl	m(%rip), %ebp
	leaq	1(%rax), %rbx
	imulq	%rbx, %rax
	movq	%rbx, a(%rip)
	cmpq	%r12, %rax
	jl	.L6
	jmp	.L5
	.p2align 4,,10
	.p2align 3
.L3:
	leaq	1(%rbx), %rax
	movl	%ebp, m(%rip)
	imulq	%rax, %rbx
	movq	%rax, a(%rip)
	cmpq	%r12, %rbx
	jge	.L5
	movq	%rax, %rbx
.L6:
	movq	%r12, %rax
	cqto
	idivq	%rbx
	testq	%rdx, %rdx
	jne	.L3
	pxor	%xmm0, %xmm0
	cvtsi2sdq	%rax, %xmm0
	call	log10@PLT
	movsd	%xmm0, 8(%rsp)
	pxor	%xmm0, %xmm0
	cvtsi2sdq	%rbx, %xmm0
	call	log10@PLT
	movsd	8(%rsp), %xmm1
	call	fmax@PLT
	movapd	%xmm0, %xmm1
	pxor	%xmm0, %xmm0
	addsd	.LC1(%rip), %xmm1
	cvtsi2sdl	%ebp, %xmm0
	call	fmin@PLT
	cvttsd2sil	%xmm0, %ebp
	jmp	.L3
	.p2align 4,,10
	.p2align 3
.L5:
	movl	%ebp, %esi
	leaq	.LC2(%rip), %rdi
	xorl	%eax, %eax
	call	printf@PLT
	addq	$16, %rsp
	.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
	.cfi_endproc
.LFE0:
	.size	main, .-main
	.globl	m
	.data
	.align 4
	.type	m, @object
	.size	m, 4
m:
	.long	10
	.globl	a
	.bss
	.align 8
	.type	a, @object
	.size	a, 8
a:
	.zero	8
	.globl	n
	.align 8
	.type	n, @object
	.size	n, 8
n:
	.zero	8
	.section	.rodata.cst8,"aM",@progbits,8
	.align 8
.LC1:
	.long	0
	.long	1072693248
	.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.
Optimized Assembly Code:

user
```assembly
	.file	"temp.c"
	.text
	.section	.rodata.str1.1,"aMS",@progbits,1
.LC0:
	.string	"%ld"
.LC2:
	.string	"%d"
	.section	.text.startup,"ax",@progbits
	.p2align 4
	.globl	main
	.type	main, @function
main:
.LFB0:
	.cfi_startproc
	endbr64
	pushq	%r12
	.cfi_def_cfa_offset 16
	.cfi_offset 12, -16
	leaq	n(%rip), %rsi
	leaq	.LC0(%rip), %rdi
	xorl	%eax, %eax
	pushq	%rbp
	.cfi_def_cfa_offset 24
	.cfi_offset 6, -24
	pushq	%rbx
	.cfi_def_cfa_offset 32
	.cfi_offset 3, -32
	subq	$16, %rsp
	.cfi_def_cfa_offset 48
	call	scanf@PLT
	movq	a(%rip), %rax
	movq	n(%rip), %r12
	movl	m(%rip), %ebp
	leaq	1(%rax), %rbx
	imulq	%rbx, %rax
	movq	%rbx, a(%rip)
	cmpq	%r12, %rax
	jl	.L6
	jmp	.L5
	.p2align 4,,10
	.p2align 3
.L3:
	leaq	1(%rbx), %rax
	movl	%ebp, m(%rip)
	imulq	%rax, %rbx
	movq	%rax, a(%rip)
	cmpq	%r12, %rbx
	jge	.L5
	movq	%rax, %rbx
.L6:
	movq	%r12, %rax
	cqto
	idivq	%rbx
	testq	%rdx, %rdx
	jne	.L3
	pxor	%xmm0, %xmm0
	cvtsi2sdq	%rax, %xmm0
	call	log10@PLT
	movsd	%xmm0, 8(%rsp)
	pxor	%xmm0, %xmm0
	cvtsi2sdq	%rbx, %xmm0
	call	log10@PLT
	movsd	8(%rsp), %xmm1
	call	fmax@PLT
	movapd	%xmm0, %xmm1
	pxor	%xmm0, %xmm0
	addsd	.LC1(%rip), %xmm1
	cvtsi2sdl	%ebp, %xmm0
	call	fmin@PLT
	cvttsd2sil	%xmm0, %ebp
	jmp	.L3
	.p2align 4,,10
	.p2align 3
.L5:
	movl	%ebp, %esi
	leaq	.LC2(%rip), %rdi
	xorl	%eax, %eax
	call	printf@PLT
	addq	$16, %rsp
	.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
	.cfi_endproc
.LFE0:
	.size	main, .-main
	.globl	m
	.data
	.align 4
	.type	m, @object
	.size	m, 4
m:
	.long	10
	.globl	a
	.bss
	.align 8
	.type	a, @object
	.size	a, 8
a:
	.zero	8
	.globl	n
	.align 8
	.type	n, @object
	.size	n, 8
n:
	.zero	8
	.section	.rodata.cst8,"aM",@progbits,8
	.align 8
.LC1:
	.long	0
	.long	1072693248
	.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
```assembly
	.file	"temp.c"
	.text
	.section	.rodata.str1.1,"aMS",@progbits,1
.LC0:
	.string	"%ld"
.LC2:
	.string	"%d"
	.section	.text.startup,"ax",@progbits
	.p2align 4
	.globl	main
	.type	main, @function
main:
.LFB0:
	.cfi_startproc
	endbr64
	pushq	%r12
	.cfi_def_cfa_offset 16
	.cfi_offset 12, -16
	leaq	n(%rip), %rsi
	leaq	.LC0(%rip), %rdi
	xorl	%eax, %eax
	pushq	%rbp
	.cfi_def_cfa_offset 24
	.cfi_offset 6, -24
	pushq	%rbx
	.cfi_def_cfa_offset 32
	.cfi_offset 3, -32
	subq	$16, %rsp
	.cfi_def_cfa_offset 48
	call	scanf@PLT
	movq	a(%rip), %rax
	movq	n(%rip), %r12
	movl	m(%rip), %ebp
	leaq	1(%rax), %rbx
	imulq	%rbx, %rax
	movq	%rbx, a(%rip)
	cmpq	%r12, %rax
	jl	.L6
	jmp	.L5
	.p2align 4,,10
	.p2align 3
.L3:
	leaq	1(%rbx), %rax
	movl	%ebp, m(%rip)
	imulq	%rax, %rbx
	movq	%rax, a(%rip)
	cmpq	%r12, %rbx
	jge	.L5
	movq	%rax, %rbx
.L6:
	movq	%r12, %rax
	cqto
	idivq	%rbx
	testq	%rdx, %rdx
	jne	.L3
	pxor	%xmm0, %xmm0
	cvtsi2sdq	%rax, %xmm0
	call	log10@PLT
	movsd	%xmm0, 8(%rsp)
	pxor	%xmm0, %xmm0
	cvtsi2sdq	%rbx, %xmm0
	call	log10@PLT
	movsd	8(%rsp), %xmm1
	call	fmax@PLT
	movapd	%xmm0, %xmm1
	pxor	%xmm0, %xmm0
	addsd	.LC1(%rip), %xmm1
	cvtsi2sdl	%ebp, %xmm0
	call	fmin@PLT
	cvttsd2sil	%xmm0, %ebp
	jmp	.L3
	.p2align 4,,10
	.p2align 3
.L5:
	movl	%ebp, %esi
	leaq	.LC2(%rip), %rdi
	xorl	%eax, %eax
	call	printf@PLT
	addq	$16, %rsp
	.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
	.cfi_endproc
.LFE0:
	.size	main, .-main
	.globl	m
	.data
	.align 4
	.type	m, @object
	.size	m, 4
m:
	.long	10
	.globl	a
	.bss
	.align 8
	.type	a, @object
	.size	a, 8
a:
	.zero	8
	.globl	n
	.align 8
	.type	n, @object
	.size	n, 8
n:
	.zero	8
	.section	.rodata.cst8,"aM",@progbits,8
	.align 8
.LC1:
	.long	0
	.long	1072693248
	.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:
```
```c
long n,a;m=10;main(){for(scanf("%ld",&n);a++*a<n;)m=n%a?m:fmin(m,1+fmax(log10(a),log10(n/a)));printf("%d",m);}```
Given the following C code, your task is to generate highly optimized x86-64 assembly code.
C Code:

```c
long n,a;m=10;main(){for(scanf("%ld",&n);a++*a<n;)m=n%a?m:fmin(m,1+fmax(log10(a),log10(n/a)));printf("%d",m);}```

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.
Optimized Assembly Code:

101914
 17346
 2771679283
 7026
 5110764300
 472
 10211397040
 16034112351
 010
 53937807463

5 3 9 4 7 2 6 8 1 10
Given the following C code and assembly code, your task is to generate highly optimized x86-64 assembly code.
C Code:

```c
long n,a;m=10;main(){for(scanf("%ld",&n);a++*a<n;)m=n%a?m:fmin(m,1+fmax(log10(a),log10(n/a)));printf("%d",m);}```

Assembly Code:

```assembly
	.file	"temp.c"
	.text
	.section	.rodata.str1.1,"aMS",@progbits,1
.LC0:
	.string	"%ld"
.LC2:
	.string	"%d"
	.section	.text.startup,"ax",@progbits
	.p2align 4
	.globl	main
	.type	main, @function
main:
.LFB0:
	.cfi_startproc
	endbr64
	pushq	%r12
	.cfi_def_cfa_offset 16
	.cfi_offset 12, -16
	leaq	n(%rip), %rsi
	leaq	.LC0(%rip), %rdi
	xorl	%eax, %eax
	pushq	%rbp
	.cfi_def_cfa_offset 24
	.cfi_offset 6, -24
	pushq	%rbx
	.cfi_def_cfa_offset 32
	.cfi_offset 3, -32
	subq	$16, %rsp
	.cfi_def_cfa_offset 48
	call	scanf@PLT
	movq	a(%rip), %rax
	movq	n(%rip), %r12
	movl	m(%rip), %ebp
	leaq	1(%rax), %rbx
	imulq	%rbx, %rax
	movq	%rbx, a(%rip)
	cmpq	%r12, %rax
	jl	.L6
	jmp	.L5
	.p2align 4,,10
	.p2align 3
.L3:
	leaq	1(%rbx), %rax
	movl	%ebp, m(%rip)
	imulq	%rax, %rbx
	movq	%rax, a(%rip)
	cmpq	%r12, %rbx
	jge	.L5
	movq	%rax, %rbx
.L6:
	movq	%r12, %rax
	cqto
	idivq	%rbx
	testq	%rdx, %rdx
	jne	.L3
	pxor	%xmm0, %xmm0
	cvtsi2sdq	%rax, %xmm0
	call	log10@PLT
	movsd	%xmm0, 8(%rsp)
	pxor	%xmm0, %xmm0
	cvtsi2sdq	%rbx, %xmm0
	call	log10@PLT
	movsd	8(%rsp), %xmm1
	call	fmax@PLT
	movapd	%xmm0, %xmm1
	pxor	%xmm0, %xmm0
	addsd	.LC1(%rip), %xmm1
	cvtsi2sdl	%ebp, %xmm0
	call	fmin@PLT
	cvttsd2sil	%xmm0, %ebp
	jmp	.L3
	.p2align 4,,10
	.p2align 3
.L5:
	movl	%ebp, %esi
	leaq	.LC2(%rip), %rdi
	xorl	%eax, %eax
	call	printf@PLT
	addq	$16, %rsp
	.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
	.cfi_endproc
.LFE0:
	.size	main, .-main
	.globl	m
	.data
	.align 4
	.type	m, @object
	.size	m, 4
m:
	.long	10
	.globl	a
	.bss
	.align 8
	.type	a, @object
	.size	a, 8
a:
	.zero	8
	.globl	n
	.align 8
	.type	n, @object
	.size	n, 8
n:
	.zero	8
	.section	.rodata.cst8,"aM",@progbits,8
	.align 8
.LC1:
	.long	0
	.long	1072693248
	.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.
Optimized Assembly Code:

train
```assembly
	.file	"temp.c"
	.text
	.section	.rodata.str1.1,"aMS",@progbits,1
.LC0:
	.string	"%ld"
.LC2:
	.string	"%d"
	.section	.text.startup,"ax",@progbits
	.p2align 4
	.globl	main
	.type	main, @function
main:
.LFB0:
	.cfi_startproc
	endbr64
	pushq	%r12
	.cfi_def_cfa_offset 16
	.cfi_offset 12, -16
	leaq	n(%rip), %rsi
	leaq	.LC0(%rip), %rdi
	xorl	%eax, %eax
	pushq	%rbp
	.cfi_def_cfa_offset 24
	.cfi_offset 6, -24
	pushq	%rbx
	.cfi_def_cfa_offset 32
	.cfi_offset 3, -32
	subq	$16, %rsp
	.cfi_def_cfa_offset 48
	call	scanf@PLT
	movq	a(%rip), %rax
	movq	n(%rip), %r12
	movl	m(%rip), %ebp
	leaq	1(%rax), %rbx
	imulq	%rbx, %rax
	movq	%rbx, a(%rip)
	cmpq	%r12, %rax
	jl	.L6
	jmp	.L5
	.p2align 4,,10
	.p2align 3
.L3:
	leaq	1(%rbx), %rax
	movl	%ebp, m(%rip)
	imulq	%rax, %rbx
	movq	%rax, a(%rip)
	cmpq	%r12, %rbx
	jge	.L5
	movq	%rax, %rbx
.L6:
	movq	%r12, %rax
	cqto
	idivq	%rbx
	testq	%rdx, %rdx
	jne	.L3
	pxor	%xmm0, %xmm0
	cvtsi2sdq	%rax, %xmm0
	call	log10@PLT
	movsd	%xmm0, 8(%rsp)
	pxor	%xmm0, %xmm0
	cvtsi2sdq	%rbx, %xmm0
	call	log10@PLT
	movsd	8(%rsp), %xmm1
	call	fmax@PLT
	movapd	%xmm0, %xmm1
	pxor	%xmm0, %xmm0
	addsd	.LC1(%rip), %xmm1
	cvtsi2sdl	%ebp, %xmm0
	call	fmin@PLT
	cvttsd2sil	%xmm0, %ebp
	jmp	.L3
	.p2align 4,,10
	.p2align 3
.L5:
	movl	%ebp, %esi
	leaq	.LC2(%rip), %rdi
	xorl	%eax, %eax
	call	printf@PLT
	addq	$16, %rsp
	.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
	.cfi_endproc
.LFE0:
	.size	main, .-main
	.globl	m
	.data
	.align 4
	.type	m, @object
	.size	m, 4
m:
	.long	10
	.globl	a
	.bss
	.align 8
	.type	a, @object
	.size	a, 8
a:
	.zero	8
	.globl	n
	.align 8
	.type	n, @object
	.size	n, 8
n:
	.zero	8
	.section	.rodata.cst8,"aM",@progbits,8
	.align 8
.LC1:
	.long	0
	.long	1072693248
	.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:
```