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 <stdlib.h>
#include <string.h>
#include <math.h>
#include <stdlib.h>

#define N 200010
#define MAX 1000000000000000000
#define MOD 1000000007

#include <stdio.h>

int main (void) {
    long n, k;

    scanf("%ld %ld", &n, &k);

    printf("%ld", (long)(log(n) / log(k)) + 1);

    return 0;
}

```

Unoptimized Assembly Code:

```assembly
	.file	"temp.c"
	.text
	.section	.rodata
.LC0:
	.string	"%ld %ld"
.LC1:
	.string	"%ld"
	.text
	.globl	main
	.type	main, @function
main:
.LFB6:
	.cfi_startproc
	endbr64
	pushq	%rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	movq	%rsp, %rbp
	.cfi_def_cfa_register 6
	pushq	%rbx
	subq	$40, %rsp
	.cfi_offset 3, -24
	movq	%fs:40, %rax
	movq	%rax, -24(%rbp)
	xorl	%eax, %eax
	leaq	-32(%rbp), %rdx
	leaq	-40(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movq	-40(%rbp), %rax
	pxor	%xmm2, %xmm2
	cvtsi2sdq	%rax, %xmm2
	movq	%xmm2, %rax
	movq	%rax, %xmm0
	call	log@PLT
	movq	%xmm0, %rbx
	movq	-32(%rbp), %rax
	pxor	%xmm3, %xmm3
	cvtsi2sdq	%rax, %xmm3
	movq	%xmm3, %rax
	movq	%rax, %xmm0
	call	log@PLT
	movq	%rbx, %xmm1
	divsd	%xmm0, %xmm1
	cvttsd2siq	%xmm1, %rax
	addq	$1, %rax
	movq	%rax, %rsi
	leaq	.LC1(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	printf@PLT
	movl	$0, %eax
	movq	-24(%rbp), %rdx
	subq	%fs:40, %rdx
	je	.L3
	call	__stack_chk_fail@PLT
.L3:
	movq	-8(%rbp), %rbx
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE6:
	.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	"%ld %ld"
.LC1:
	.string	"%ld"
	.section	.text.startup,"ax",@progbits
	.p2align 4
	.globl	main
	.type	main, @function
main:
.LFB51:
	.cfi_startproc
	endbr64
	subq	$56, %rsp
	.cfi_def_cfa_offset 64
	leaq	.LC0(%rip), %rdi
	movq	%fs:40, %rax
	movq	%rax, 40(%rsp)
	xorl	%eax, %eax
	leaq	32(%rsp), %rdx
	leaq	24(%rsp), %rsi
	call	__isoc99_scanf@PLT
	pxor	%xmm0, %xmm0
	cvtsi2sdq	24(%rsp), %xmm0
	call	log@PLT
	movsd	%xmm0, 8(%rsp)
	pxor	%xmm0, %xmm0
	cvtsi2sdq	32(%rsp), %xmm0
	call	log@PLT
	movsd	8(%rsp), %xmm1
	xorl	%eax, %eax
	leaq	.LC1(%rip), %rsi
	movl	$1, %edi
	divsd	%xmm0, %xmm1
	cvttsd2siq	%xmm1, %rdx
	addq	$1, %rdx
	call	__printf_chk@PLT
	movq	40(%rsp), %rax
	subq	%fs:40, %rax
	jne	.L5
	xorl	%eax, %eax
	addq	$56, %rsp
	.cfi_remember_state
	.cfi_def_cfa_offset 8
	ret
.L5:
	.cfi_restore_state
	call	__stack_chk_fail@PLT
	.cfi_endproc
.LFE51:
	.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	"%ld %ld"
.LC1:
	.string	"%ld"
	.section	.text.startup,"ax",@progbits
	.p2align 4
	.globl	main
	.type	main, @function
main:
.LFB51:
	.cfi_startproc
	endbr64
	subq	$56, %rsp
	.cfi_def_cfa_offset 64
	leaq	.LC0(%rip), %rdi
	movq	%fs:40, %rax
	movq	%rax, 40(%rsp)
	xorl	%eax, %eax
	leaq	32(%rsp), %rdx
	leaq	24(%rsp), %rsi
	call	__isoc99_scanf@PLT
	pxor	%xmm0, %xmm0
	cvtsi2sdq	24(%rsp), %xmm0
	call	log@PLT
	movsd	%xmm0, 8(%rsp)
	pxor	%xmm0, %xmm0
	cvtsi2sdq	32(%rsp), %xmm0
	call	log@PLT
	movsd	8(%rsp), %xmm1
	xorl	%eax, %eax
	leaq	.LC1(%rip), %rsi
	movl	$1, %edi
	divsd	%xmm0, %xmm1
	cvttsd2siq	%xmm1, %rdx
	addq	$1, %rdx
	call	__printf_chk@PLT
	movq	40(%rsp), %rax
	subq	%fs:40, %rax
	jne	.L5
	xorl	%eax, %eax
	addq	$56, %rsp
	.cfi_remember_state
	.cfi_def_cfa_offset 8
	ret
.L5:
	.cfi_restore_state
	call	__stack_chk_fail@PLT
	.cfi_endproc
.LFE51:
	.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 <stdlib.h>
#include <string.h>
#include <math.h>
#include <stdlib.h>

#define N 200010
#define MAX 1000000000000000000
#define MOD 1000000007

#include <stdio.h>

int main (void) {
    long n, k;

    scanf("%ld %ld", &n, &k);

    printf("%ld", (long)(log(n) / log(k)) + 1);

    return 0;
}


22 2
 279134799 3
 1011101 10
 1010001 2
 29240007 3
 1010001 3
 1010001 5
 0110111 5
 0110111 9
 314159265 4

5 18 7 20 16 13 9 8 6 15
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 <stdlib.h>
#include <string.h>
#include <math.h>
#include <stdlib.h>

#define N 200010
#define MAX 1000000000000000000
#define MOD 1000000007

#include <stdio.h>

int main (void) {
    long n, k;

    scanf("%ld %ld", &n, &k);

    printf("%ld", (long)(log(n) / log(k)) + 1);

    return 0;
}

```

Unoptimized Assembly Code:

```assembly
	.file	"temp.c"
	.text
	.section	.rodata
.LC0:
	.string	"%ld %ld"
.LC1:
	.string	"%ld"
	.text
	.globl	main
	.type	main, @function
main:
.LFB6:
	.cfi_startproc
	endbr64
	pushq	%rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	movq	%rsp, %rbp
	.cfi_def_cfa_register 6
	pushq	%rbx
	subq	$40, %rsp
	.cfi_offset 3, -24
	movq	%fs:40, %rax
	movq	%rax, -24(%rbp)
	xorl	%eax, %eax
	leaq	-32(%rbp), %rdx
	leaq	-40(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movq	-40(%rbp), %rax
	pxor	%xmm2, %xmm2
	cvtsi2sdq	%rax, %xmm2
	movq	%xmm2, %rax
	movq	%rax, %xmm0
	call	log@PLT
	movq	%xmm0, %rbx
	movq	-32(%rbp), %rax
	pxor	%xmm3, %xmm3
	cvtsi2sdq	%rax, %xmm3
	movq	%xmm3, %rax
	movq	%rax, %xmm0
	call	log@PLT
	movq	%rbx, %xmm1
	divsd	%xmm0, %xmm1
	cvttsd2siq	%xmm1, %rax
	addq	$1, %rax
	movq	%rax, %rsi
	leaq	.LC1(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	printf@PLT
	movl	$0, %eax
	movq	-24(%rbp), %rdx
	subq	%fs:40, %rdx
	je	.L3
	call	__stack_chk_fail@PLT
.L3:
	movq	-8(%rbp), %rbx
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE6:
	.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	"%ld %ld"
.LC1:
	.string	"%ld"
	.text
	.globl	main
	.type	main, @function
main:
.LFB6:
	.cfi_startproc
	endbr64
	pushq	%rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	movq	%rsp, %rbp
	.cfi_def_cfa_register 6
	pushq	%rbx
	subq	$40, %rsp
	.cfi_offset 3, -24
	movq	%fs:40, %rax
	movq	%rax, -24(%rbp)
	xorl	%eax, %eax
	leaq	-32(%rbp), %rdx
	leaq	-40(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movq	-40(%rbp), %rax
	pxor	%xmm2, %xmm2
	cvtsi2sdq	%rax, %xmm2
	movq	%xmm2, %rax
	movq	%rax, %xmm0
	call	log@PLT
	movq	%xmm0, %rbx
	movq	-32(%rbp), %rax
	pxor	%xmm3, %xmm3
	cvtsi2sdq	%rax, %xmm3
	movq	%xmm3, %rax
	movq	%rax, %xmm0
	call	log@PLT
	movq	%rbx, %xmm1
	divsd	%xmm0, %xmm1
	cvttsd2siq	%xmm1, %rax
	addq	$1, %rax
	movq	%rax, %rsi
	leaq	.LC1(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	printf@PLT
	movl	$0, %eax
	movq	-24(%rbp), %rdx
	subq	%fs:40, %rdx
	je	.L3
	call	__stack_chk_fail@PLT
.L3:
	movq	-8(%rbp), %rbx
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE6:
	.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:
