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

```c
/*
AizuOnline A0162
Hamming Numbers
*/
#include <stdio.h>
#include <math.h>

long int count_3_5(long int x)
{      long int i;
       long int cnt;

       cnt = 0;
       for(i=1;i<=x;i*=3)
         cnt += (1+(int)(log(x/i)/log(5)));
       return(cnt);
}
long int hamming(long int x)
{      long int i;
       long int cnt;

       cnt = 0;
       for(i=1;i<=x;i*=2)
         cnt += count_3_5(x/i);
       return(cnt);
  
}

main()
{
             long int x,y;
             
             while(EOF != scanf("%ld ",&x) && x)
               {  scanf("%ld ",&y);
                 printf("%d\n",hamming(y)-hamming(x-1));
               }
return(0);
}```

Unoptimized Assembly Code:

```assembly
	.file	"temp.c"
	.text
	.globl	count_3_5
	.type	count_3_5, @function
count_3_5:
.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
	movq	%rdi, -24(%rbp)
	movq	$0, -8(%rbp)
	movq	$1, -16(%rbp)
	jmp	.L2
.L3:
	movq	-24(%rbp), %rax
	cqto
	idivq	-16(%rbp)
	pxor	%xmm2, %xmm2
	cvtsi2sdq	%rax, %xmm2
	movq	%xmm2, %rax
	movq	%rax, %xmm0
	call	log@PLT
	movq	%xmm0, %rax
	movsd	.LC0(%rip), %xmm0
	movq	%rax, %xmm1
	divsd	%xmm0, %xmm1
	cvttsd2sil	%xmm1, %eax
	addl	$1, %eax
	cltq
	addq	%rax, -8(%rbp)
	movq	-16(%rbp), %rdx
	movq	%rdx, %rax
	addq	%rax, %rax
	addq	%rdx, %rax
	movq	%rax, -16(%rbp)
.L2:
	movq	-16(%rbp), %rax
	cmpq	-24(%rbp), %rax
	jle	.L3
	movq	-8(%rbp), %rax
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE0:
	.size	count_3_5, .-count_3_5
	.globl	hamming
	.type	hamming, @function
hamming:
.LFB1:
	.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
	movq	%rdi, -24(%rbp)
	movq	$0, -8(%rbp)
	movq	$1, -16(%rbp)
	jmp	.L6
.L7:
	movq	-24(%rbp), %rax
	cqto
	idivq	-16(%rbp)
	movq	%rax, %rdi
	call	count_3_5
	addq	%rax, -8(%rbp)
	salq	-16(%rbp)
.L6:
	movq	-16(%rbp), %rax
	cmpq	-24(%rbp), %rax
	jle	.L7
	movq	-8(%rbp), %rax
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE1:
	.size	hamming, .-hamming
	.section	.rodata
.LC1:
	.string	"%ld "
.LC2:
	.string	"%d\n"
	.text
	.globl	main
	.type	main, @function
main:
.LFB2:
	.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
	jmp	.L10
.L12:
	leaq	-32(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC1(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movq	-32(%rbp), %rax
	movq	%rax, %rdi
	call	hamming
	movq	%rax, %rbx
	movq	-40(%rbp), %rax
	subq	$1, %rax
	movq	%rax, %rdi
	call	hamming
	movq	%rax, %rdx
	movq	%rbx, %rax
	subq	%rdx, %rax
	movq	%rax, %rsi
	leaq	.LC2(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	printf@PLT
.L10:
	leaq	-40(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC1(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	cmpl	$-1, %eax
	je	.L11
	movq	-40(%rbp), %rax
	testq	%rax, %rax
	jne	.L12
.L11:
	movl	$0, %eax
	movq	-24(%rbp), %rdx
	subq	%fs:40, %rdx
	je	.L14
	call	__stack_chk_fail@PLT
.L14:
	movq	-8(%rbp), %rbx
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE2:
	.size	main, .-main
	.section	.rodata
	.align 8
.LC0:
	.long	-135426765
	.long	1073332289
	.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
	.p2align 4
	.globl	count_3_5
	.type	count_3_5, @function
count_3_5:
.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
	testq	%rdi, %rdi
	jle	.L4
	movq	%rdi, %rbp
	xorl	%r12d, %r12d
	movl	$1, %ebx
	.p2align 4,,10
	.p2align 3
.L3:
	movq	%rbp, %rax
	pxor	%xmm0, %xmm0
	cqto
	idivq	%rbx
	leaq	(%rbx,%rbx,2), %rbx
	cvtsi2sdq	%rax, %xmm0
	call	log@PLT
	divsd	.LC0(%rip), %xmm0
	cvttsd2sil	%xmm0, %edx
	addl	$1, %edx
	movslq	%edx, %rdx
	addq	%rdx, %r12
	cmpq	%rbx, %rbp
	jge	.L3
	movq	%r12, %rax
	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
.L4:
	.cfi_restore_state
	xorl	%r12d, %r12d
	popq	%rbx
	.cfi_def_cfa_offset 24
	popq	%rbp
	.cfi_def_cfa_offset 16
	movq	%r12, %rax
	popq	%r12
	.cfi_def_cfa_offset 8
	ret
	.cfi_endproc
.LFE23:
	.size	count_3_5, .-count_3_5
	.p2align 4
	.globl	hamming
	.type	hamming, @function
hamming:
.LFB24:
	.cfi_startproc
	endbr64
	pushq	%r15
	.cfi_def_cfa_offset 16
	.cfi_offset 15, -16
	pushq	%r14
	.cfi_def_cfa_offset 24
	.cfi_offset 14, -24
	pushq	%r13
	.cfi_def_cfa_offset 32
	.cfi_offset 13, -32
	pushq	%r12
	.cfi_def_cfa_offset 40
	.cfi_offset 12, -40
	pushq	%rbp
	.cfi_def_cfa_offset 48
	.cfi_offset 6, -48
	pushq	%rbx
	.cfi_def_cfa_offset 56
	.cfi_offset 3, -56
	subq	$8, %rsp
	.cfi_def_cfa_offset 64
	testq	%rdi, %rdi
	jle	.L13
	movq	%rdi, %r14
	xorl	%r15d, %r15d
	movl	$1, %r13d
	.p2align 4,,10
	.p2align 3
.L12:
	movq	%r14, %rax
	cqto
	idivq	%r13
	movq	%rax, %rbp
	testq	%rax, %rax
	je	.L10
	xorl	%r12d, %r12d
	movl	$1, %ebx
	.p2align 4,,10
	.p2align 3
.L11:
	movq	%rbp, %rax
	pxor	%xmm0, %xmm0
	cqto
	idivq	%rbx
	leaq	(%rbx,%rbx,2), %rbx
	cvtsi2sdq	%rax, %xmm0
	call	log@PLT
	divsd	.LC0(%rip), %xmm0
	cvttsd2sil	%xmm0, %eax
	addl	$1, %eax
	cltq
	addq	%rax, %r12
	cmpq	%rbx, %rbp
	jge	.L11
	addq	%r12, %r15
.L10:
	addq	%r13, %r13
	cmpq	%r13, %r14
	jge	.L12
.L8:
	addq	$8, %rsp
	.cfi_remember_state
	.cfi_def_cfa_offset 56
	movq	%r15, %rax
	popq	%rbx
	.cfi_def_cfa_offset 48
	popq	%rbp
	.cfi_def_cfa_offset 40
	popq	%r12
	.cfi_def_cfa_offset 32
	popq	%r13
	.cfi_def_cfa_offset 24
	popq	%r14
	.cfi_def_cfa_offset 16
	popq	%r15
	.cfi_def_cfa_offset 8
	ret
.L13:
	.cfi_restore_state
	xorl	%r15d, %r15d
	jmp	.L8
	.cfi_endproc
.LFE24:
	.size	hamming, .-hamming
	.section	.rodata.str1.1,"aMS",@progbits,1
.LC1:
	.string	"%ld "
.LC2:
	.string	"%d\n"
	.section	.text.startup,"ax",@progbits
	.p2align 4
	.globl	main
	.type	main, @function
main:
.LFB25:
	.cfi_startproc
	endbr64
	pushq	%r15
	.cfi_def_cfa_offset 16
	.cfi_offset 15, -16
	pushq	%r14
	.cfi_def_cfa_offset 24
	.cfi_offset 14, -24
	pushq	%r13
	.cfi_def_cfa_offset 32
	.cfi_offset 13, -32
	pushq	%r12
	.cfi_def_cfa_offset 40
	.cfi_offset 12, -40
	pushq	%rbp
	.cfi_def_cfa_offset 48
	.cfi_offset 6, -48
	pushq	%rbx
	.cfi_def_cfa_offset 56
	.cfi_offset 3, -56
	subq	$56, %rsp
	.cfi_def_cfa_offset 112
	movq	%fs:40, %rax
	movq	%rax, 40(%rsp)
	xorl	%eax, %eax
	leaq	24(%rsp), %rax
	movq	%rax, 8(%rsp)
	.p2align 4,,10
	.p2align 3
.L21:
	movq	8(%rsp), %rsi
	xorl	%eax, %eax
	leaq	.LC1(%rip), %rdi
	call	__isoc99_scanf@PLT
	cmpl	$-1, %eax
	je	.L30
	cmpq	$0, 24(%rsp)
	je	.L30
	leaq	32(%rsp), %rsi
	leaq	.LC1(%rip), %rdi
	xorl	%eax, %eax
	xorl	%r14d, %r14d
	call	__isoc99_scanf@PLT
	movq	32(%rsp), %r13
	testq	%r13, %r13
	jle	.L22
	movl	$1, %r12d
	.p2align 4,,10
	.p2align 3
.L25:
	movq	%r13, %rax
	cqto
	idivq	%r12
	movq	%rax, %rbx
	testq	%rax, %rax
	je	.L23
	xorl	%ebp, %ebp
	movl	$1, %r15d
	.p2align 4,,10
	.p2align 3
.L24:
	movq	%rbx, %rax
	pxor	%xmm0, %xmm0
	cqto
	idivq	%r15
	leaq	(%r15,%r15,2), %r15
	cvtsi2sdq	%rax, %xmm0
	call	log@PLT
	divsd	.LC0(%rip), %xmm0
	cvttsd2sil	%xmm0, %eax
	addl	$1, %eax
	cltq
	addq	%rax, %rbp
	cmpq	%r15, %rbx
	jge	.L24
	addq	%rbp, %r14
.L23:
	addq	%r12, %r12
	cmpq	%r12, %r13
	jge	.L25
.L22:
	movq	24(%rsp), %rax
	leaq	-1(%rax), %r13
	testq	%r13, %r13
	jle	.L26
	movq	$0, (%rsp)
	movl	$1, %r12d
	.p2align 4,,10
	.p2align 3
.L29:
	movq	%r13, %rax
	cqto
	idivq	%r12
	movq	%rax, %rbx
	testq	%rax, %rax
	je	.L27
	xorl	%ebp, %ebp
	movl	$1, %r15d
	.p2align 4,,10
	.p2align 3
.L28:
	movq	%rbx, %rax
	pxor	%xmm0, %xmm0
	cqto
	idivq	%r15
	leaq	(%r15,%r15,2), %r15
	cvtsi2sdq	%rax, %xmm0
	call	log@PLT
	divsd	.LC0(%rip), %xmm0
	cvttsd2sil	%xmm0, %eax
	addl	$1, %eax
	cltq
	addq	%rax, %rbp
	cmpq	%r15, %rbx
	jge	.L28
	addq	%rbp, (%rsp)
.L27:
	addq	%r12, %r12
	cmpq	%r12, %r13
	jge	.L29
	subq	(%rsp), %r14
.L26:
	movq	%r14, %rdx
	leaq	.LC2(%rip), %rsi
	movl	$1, %edi
	xorl	%eax, %eax
	call	__printf_chk@PLT
	jmp	.L21
.L30:
	movq	40(%rsp), %rax
	subq	%fs:40, %rax
	jne	.L48
	addq	$56, %rsp
	.cfi_remember_state
	.cfi_def_cfa_offset 56
	xorl	%eax, %eax
	popq	%rbx
	.cfi_def_cfa_offset 48
	popq	%rbp
	.cfi_def_cfa_offset 40
	popq	%r12
	.cfi_def_cfa_offset 32
	popq	%r13
	.cfi_def_cfa_offset 24
	popq	%r14
	.cfi_def_cfa_offset 16
	popq	%r15
	.cfi_def_cfa_offset 8
	ret
.L48:
	.cfi_restore_state
	call	__stack_chk_fail@PLT
	.cfi_endproc
.LFE25:
	.size	main, .-main
	.section	.rodata.cst8,"aM",@progbits,8
	.align 8
.LC0:
	.long	-135426765
	.long	1073332289
	.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
	.p2align 4
	.globl	count_3_5
	.type	count_3_5, @function
count_3_5:
.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
	testq	%rdi, %rdi
	jle	.L4
	movq	%rdi, %rbp
	xorl	%r12d, %r12d
	movl	$1, %ebx
	.p2align 4,,10
	.p2align 3
.L3:
	movq	%rbp, %rax
	pxor	%xmm0, %xmm0
	cqto
	idivq	%rbx
	leaq	(%rbx,%rbx,2), %rbx
	cvtsi2sdq	%rax, %xmm0
	call	log@PLT
	divsd	.LC0(%rip), %xmm0
	cvttsd2sil	%xmm0, %edx
	addl	$1, %edx
	movslq	%edx, %rdx
	addq	%rdx, %r12
	cmpq	%rbx, %rbp
	jge	.L3
	movq	%r12, %rax
	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
.L4:
	.cfi_restore_state
	xorl	%r12d, %r12d
	popq	%rbx
	.cfi_def_cfa_offset 24
	popq	%rbp
	.cfi_def_cfa_offset 16
	movq	%r12, %rax
	popq	%r12
	.cfi_def_cfa_offset 8
	ret
	.cfi_endproc
.LFE23:
	.size	count_3_5, .-count_3_5
	.p2align 4
	.globl	hamming
	.type	hamming, @function
hamming:
.LFB24:
	.cfi_startproc
	endbr64
	pushq	%r15
	.cfi_def_cfa_offset 16
	.cfi_offset 15, -16
	pushq	%r14
	.cfi_def_cfa_offset 24
	.cfi_offset 14, -24
	pushq	%r13
	.cfi_def_cfa_offset 32
	.cfi_offset 13, -32
	pushq	%r12
	.cfi_def_cfa_offset 40
	.cfi_offset 12, -40
	pushq	%rbp
	.cfi_def_cfa_offset 48
	.cfi_offset 6, -48
	pushq	%rbx
	.cfi_def_cfa_offset 56
	.cfi_offset 3, -56
	subq	$8, %rsp
	.cfi_def_cfa_offset 64
	testq	%rdi, %rdi
	jle	.L13
	movq	%rdi, %r14
	xorl	%r15d, %r15d
	movl	$1, %r13d
	.p2align 4,,10
	.p2align 3
.L12:
	movq	%r14, %rax
	cqto
	idivq	%r13
	movq	%rax, %rbp
	testq	%rax, %rax
	je	.L10
	xorl	%r12d, %r12d
	movl	$1, %ebx
	.p2align 4,,10
	.p2align 3
.L11:
	movq	%rbp, %rax
	pxor	%xmm0, %xmm0
	cqto
	idivq	%rbx
	leaq	(%rbx,%rbx,2), %rbx
	cvtsi2sdq	%rax, %xmm0
	call	log@PLT
	divsd	.LC0(%rip), %xmm0
	cvttsd2sil	%xmm0, %eax
	addl	$1, %eax
	cltq
	addq	%rax, %r12
	cmpq	%rbx, %rbp
	jge	.L11
	addq	%r12, %r15
.L10:
	addq	%r13, %r13
	cmpq	%r13, %r14
	jge	.L12
.L8:
	addq	$8, %rsp
	.cfi_remember_state
	.cfi_def_cfa_offset 56
	movq	%r15, %rax
	popq	%rbx
	.cfi_def_cfa_offset 48
	popq	%rbp
	.cfi_def_cfa_offset 40
	popq	%r12
	.cfi_def_cfa_offset 32
	popq	%r13
	.cfi_def_cfa_offset 24
	popq	%r14
	.cfi_def_cfa_offset 16
	popq	%r15
	.cfi_def_cfa_offset 8
	ret
.L13:
	.cfi_restore_state
	xorl	%r15d, %r15d
	jmp	.L8
	.cfi_endproc
.LFE24:
	.size	hamming, .-hamming
	.section	.rodata.str1.1,"aMS",@progbits,1
.LC1:
	.string	"%ld "
.LC2:
	.string	"%d\n"
	.section	.text.startup,"ax",@progbits
	.p2align 4
	.globl	main
	.type	main, @function
main:
.LFB25:
	.cfi_startproc
	endbr64
	pushq	%r15
	.cfi_def_cfa_offset 16
	.cfi_offset 15, -16
	pushq	%r14
	.cfi_def_cfa_offset 24
	.cfi_offset 14, -24
	pushq	%r13
	.cfi_def_cfa_offset 32
	.cfi_offset 13, -32
	pushq	%r12
	.cfi_def_cfa_offset 40
	.cfi_offset 12, -40
	pushq	%rbp
	.cfi_def_cfa_offset 48
	.cfi_offset 6, -48
	pushq	%rbx
	.cfi_def_cfa_offset 56
	.cfi_offset 3, -56
	subq	$56, %rsp
	.cfi_def_cfa_offset 112
	movq	%fs:40, %rax
	movq	%rax, 40(%rsp)
	xorl	%eax, %eax
	leaq	24(%rsp), %rax
	movq	%rax, 8(%rsp)
	.p2align 4,,10
	.p2align 3
.L21:
	movq	8(%rsp), %rsi
	xorl	%eax, %eax
	leaq	.LC1(%rip), %rdi
	call	__isoc99_scanf@PLT
	cmpl	$-1, %eax
	je	.L30
	cmpq	$0, 24(%rsp)
	je	.L30
	leaq	32(%rsp), %rsi
	leaq	.LC1(%rip), %rdi
	xorl	%eax, %eax
	xorl	%r14d, %r14d
	call	__isoc99_scanf@PLT
	movq	32(%rsp), %r13
	testq	%r13, %r13
	jle	.L22
	movl	$1, %r12d
	.p2align 4,,10
	.p2align 3
.L25:
	movq	%r13, %rax
	cqto
	idivq	%r12
	movq	%rax, %rbx
	testq	%rax, %rax
	je	.L23
	xorl	%ebp, %ebp
	movl	$1, %r15d
	.p2align 4,,10
	.p2align 3
.L24:
	movq	%rbx, %rax
	pxor	%xmm0, %xmm0
	cqto
	idivq	%r15
	leaq	(%r15,%r15,2), %r15
	cvtsi2sdq	%rax, %xmm0
	call	log@PLT
	divsd	.LC0(%rip), %xmm0
	cvttsd2sil	%xmm0, %eax
	addl	$1, %eax
	cltq
	addq	%rax, %rbp
	cmpq	%r15, %rbx
	jge	.L24
	addq	%rbp, %r14
.L23:
	addq	%r12, %r12
	cmpq	%r12, %r13
	jge	.L25
.L22:
	movq	24(%rsp), %rax
	leaq	-1(%rax), %r13
	testq	%r13, %r13
	jle	.L26
	movq	$0, (%rsp)
	movl	$1, %r12d
	.p2align 4,,10
	.p2align 3
.L29:
	movq	%r13, %rax
	cqto
	idivq	%r12
	movq	%rax, %rbx
	testq	%rax, %rax
	je	.L27
	xorl	%ebp, %ebp
	movl	$1, %r15d
	.p2align 4,,10
	.p2align 3
.L28:
	movq	%rbx, %rax
	pxor	%xmm0, %xmm0
	cqto
	idivq	%r15
	leaq	(%r15,%r15,2), %r15
	cvtsi2sdq	%rax, %xmm0
	call	log@PLT
	divsd	.LC0(%rip), %xmm0
	cvttsd2sil	%xmm0, %eax
	addl	$1, %eax
	cltq
	addq	%rax, %rbp
	cmpq	%r15, %rbx
	jge	.L28
	addq	%rbp, (%rsp)
.L27:
	addq	%r12, %r12
	cmpq	%r12, %r13
	jge	.L29
	subq	(%rsp), %r14
.L26:
	movq	%r14, %rdx
	leaq	.LC2(%rip), %rsi
	movl	$1, %edi
	xorl	%eax, %eax
	call	__printf_chk@PLT
	jmp	.L21
.L30:
	movq	40(%rsp), %rax
	subq	%fs:40, %rax
	jne	.L48
	addq	$56, %rsp
	.cfi_remember_state
	.cfi_def_cfa_offset 56
	xorl	%eax, %eax
	popq	%rbx
	.cfi_def_cfa_offset 48
	popq	%rbp
	.cfi_def_cfa_offset 40
	popq	%r12
	.cfi_def_cfa_offset 32
	popq	%r13
	.cfi_def_cfa_offset 24
	popq	%r14
	.cfi_def_cfa_offset 16
	popq	%r15
	.cfi_def_cfa_offset 8
	ret
.L48:
	.cfi_restore_state
	call	__stack_chk_fail@PLT
	.cfi_endproc
.LFE25:
	.size	main, .-main
	.section	.rodata.cst8,"aM",@progbits,8
	.align 8
.LC0:
	.long	-135426765
	.long	1073332289
	.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:

/*
AizuOnline A0162
Hamming Numbers
*/
#include <stdio.h>
#include <math.h>

long int count_3_5(long int x)
{      long int i;
       long int cnt;

       cnt = 0;
       for(i=1;i<=x;i*=3)
         cnt += (1+(int)(log(x/i)/log(5)));
       return(cnt);
}
long int hamming(long int x)
{      long int i;
       long int cnt;

       cnt = 0;
       for(i=1;i<=x;i*=2)
         cnt += count_3_5(x/i);
       return(cnt);
  
}

main()
{
             long int x,y;
             
             while(EOF != scanf("%ld ",&x) && x)
               {  scanf("%ld ",&y);
                 printf("%d\n",hamming(y)-hamming(x-1));
               }
return(0);
}
3 8
2 27
1 86
0
 3 9
2 27
1 86
0
 3 8
1 35
1 86
0
 5 8
2 27
1 86
0
 3 9
4 27
1 86
0
 3 9
6 27
1 86
0
 3 9
6 31
1 86
0
 3 6
6 31
1 86
0
 3 6
6 9
1 86
0
 3 6
8 9
1 86
0

5
16
31
 6
16
31
 5
19
31
 3
16
31
 6
14
31
 6
12
31
 6
13
31
 4
13
31
 4
3
31
 4
2
31

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

```c
/*
AizuOnline A0162
Hamming Numbers
*/
#include <stdio.h>
#include <math.h>

long int count_3_5(long int x)
{      long int i;
       long int cnt;

       cnt = 0;
       for(i=1;i<=x;i*=3)
         cnt += (1+(int)(log(x/i)/log(5)));
       return(cnt);
}
long int hamming(long int x)
{      long int i;
       long int cnt;

       cnt = 0;
       for(i=1;i<=x;i*=2)
         cnt += count_3_5(x/i);
       return(cnt);
  
}

main()
{
             long int x,y;
             
             while(EOF != scanf("%ld ",&x) && x)
               {  scanf("%ld ",&y);
                 printf("%d\n",hamming(y)-hamming(x-1));
               }
return(0);
}```

Unoptimized Assembly Code:

```assembly
	.file	"temp.c"
	.text
	.globl	count_3_5
	.type	count_3_5, @function
count_3_5:
.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
	movq	%rdi, -24(%rbp)
	movq	$0, -8(%rbp)
	movq	$1, -16(%rbp)
	jmp	.L2
.L3:
	movq	-24(%rbp), %rax
	cqto
	idivq	-16(%rbp)
	pxor	%xmm2, %xmm2
	cvtsi2sdq	%rax, %xmm2
	movq	%xmm2, %rax
	movq	%rax, %xmm0
	call	log@PLT
	movq	%xmm0, %rax
	movsd	.LC0(%rip), %xmm0
	movq	%rax, %xmm1
	divsd	%xmm0, %xmm1
	cvttsd2sil	%xmm1, %eax
	addl	$1, %eax
	cltq
	addq	%rax, -8(%rbp)
	movq	-16(%rbp), %rdx
	movq	%rdx, %rax
	addq	%rax, %rax
	addq	%rdx, %rax
	movq	%rax, -16(%rbp)
.L2:
	movq	-16(%rbp), %rax
	cmpq	-24(%rbp), %rax
	jle	.L3
	movq	-8(%rbp), %rax
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE0:
	.size	count_3_5, .-count_3_5
	.globl	hamming
	.type	hamming, @function
hamming:
.LFB1:
	.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
	movq	%rdi, -24(%rbp)
	movq	$0, -8(%rbp)
	movq	$1, -16(%rbp)
	jmp	.L6
.L7:
	movq	-24(%rbp), %rax
	cqto
	idivq	-16(%rbp)
	movq	%rax, %rdi
	call	count_3_5
	addq	%rax, -8(%rbp)
	salq	-16(%rbp)
.L6:
	movq	-16(%rbp), %rax
	cmpq	-24(%rbp), %rax
	jle	.L7
	movq	-8(%rbp), %rax
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE1:
	.size	hamming, .-hamming
	.section	.rodata
.LC1:
	.string	"%ld "
.LC2:
	.string	"%d\n"
	.text
	.globl	main
	.type	main, @function
main:
.LFB2:
	.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
	jmp	.L10
.L12:
	leaq	-32(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC1(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movq	-32(%rbp), %rax
	movq	%rax, %rdi
	call	hamming
	movq	%rax, %rbx
	movq	-40(%rbp), %rax
	subq	$1, %rax
	movq	%rax, %rdi
	call	hamming
	movq	%rax, %rdx
	movq	%rbx, %rax
	subq	%rdx, %rax
	movq	%rax, %rsi
	leaq	.LC2(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	printf@PLT
.L10:
	leaq	-40(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC1(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	cmpl	$-1, %eax
	je	.L11
	movq	-40(%rbp), %rax
	testq	%rax, %rax
	jne	.L12
.L11:
	movl	$0, %eax
	movq	-24(%rbp), %rdx
	subq	%fs:40, %rdx
	je	.L14
	call	__stack_chk_fail@PLT
.L14:
	movq	-8(%rbp), %rbx
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE2:
	.size	main, .-main
	.section	.rodata
	.align 8
.LC0:
	.long	-135426765
	.long	1073332289
	.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	count_3_5
	.type	count_3_5, @function
count_3_5:
.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
	movq	%rdi, -24(%rbp)
	movq	$0, -8(%rbp)
	movq	$1, -16(%rbp)
	jmp	.L2
.L3:
	movq	-24(%rbp), %rax
	cqto
	idivq	-16(%rbp)
	pxor	%xmm2, %xmm2
	cvtsi2sdq	%rax, %xmm2
	movq	%xmm2, %rax
	movq	%rax, %xmm0
	call	log@PLT
	movq	%xmm0, %rax
	movsd	.LC0(%rip), %xmm0
	movq	%rax, %xmm1
	divsd	%xmm0, %xmm1
	cvttsd2sil	%xmm1, %eax
	addl	$1, %eax
	cltq
	addq	%rax, -8(%rbp)
	movq	-16(%rbp), %rdx
	movq	%rdx, %rax
	addq	%rax, %rax
	addq	%rdx, %rax
	movq	%rax, -16(%rbp)
.L2:
	movq	-16(%rbp), %rax
	cmpq	-24(%rbp), %rax
	jle	.L3
	movq	-8(%rbp), %rax
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE0:
	.size	count_3_5, .-count_3_5
	.globl	hamming
	.type	hamming, @function
hamming:
.LFB1:
	.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
	movq	%rdi, -24(%rbp)
	movq	$0, -8(%rbp)
	movq	$1, -16(%rbp)
	jmp	.L6
.L7:
	movq	-24(%rbp), %rax
	cqto
	idivq	-16(%rbp)
	movq	%rax, %rdi
	call	count_3_5
	addq	%rax, -8(%rbp)
	salq	-16(%rbp)
.L6:
	movq	-16(%rbp), %rax
	cmpq	-24(%rbp), %rax
	jle	.L7
	movq	-8(%rbp), %rax
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE1:
	.size	hamming, .-hamming
	.section	.rodata
.LC1:
	.string	"%ld "
.LC2:
	.string	"%d\n"
	.text
	.globl	main
	.type	main, @function
main:
.LFB2:
	.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
	jmp	.L10
.L12:
	leaq	-32(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC1(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movq	-32(%rbp), %rax
	movq	%rax, %rdi
	call	hamming
	movq	%rax, %rbx
	movq	-40(%rbp), %rax
	subq	$1, %rax
	movq	%rax, %rdi
	call	hamming
	movq	%rax, %rdx
	movq	%rbx, %rax
	subq	%rdx, %rax
	movq	%rax, %rsi
	leaq	.LC2(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	printf@PLT
.L10:
	leaq	-40(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC1(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	cmpl	$-1, %eax
	je	.L11
	movq	-40(%rbp), %rax
	testq	%rax, %rax
	jne	.L12
.L11:
	movl	$0, %eax
	movq	-24(%rbp), %rdx
	subq	%fs:40, %rdx
	je	.L14
	call	__stack_chk_fail@PLT
.L14:
	movq	-8(%rbp), %rbx
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE2:
	.size	main, .-main
	.section	.rodata
	.align 8
.LC0:
	.long	-135426765
	.long	1073332289
	.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:
