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 i,j;

    scanf("%d",&N);

    int a[N];
    int f[N+1];

    for(i=0;i<N;i++){
        scanf("%d",&a[i]);
        f[i]=0;
    }

    for(i=N-1;i>=0;i--){
        int base=N/(i+1);
        int sum_f=0;
        if(base==1){
            f[i+1]=a[i];
        }else{
            for(j=2;j<=base;j++){
                sum_f+=f[(i+1)*j];
            }
            sum_f%=2;
            f[i+1]=sum_f^a[i];
        }
    }
    int count=0;
    for(i=1;i<=N;i++){
        if(f[i]==1){
            count++;
        }
    }

    printf("%d\n",count);
    for(i=1;i<=N;i++){
        if(f[i]==1){
            printf("%d ",i);
        }
    }

    return 0;
}```

Unoptimized Assembly Code:

```assembly
	.file	"temp.c"
	.text
	.section	.rodata
.LC0:
	.string	"%d"
.LC1:
	.string	"%d\n"
.LC2:
	.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
	pushq	%r15
	pushq	%r14
	pushq	%r13
	pushq	%r12
	pushq	%rbx
	subq	$104, %rsp
	.cfi_offset 15, -24
	.cfi_offset 14, -32
	.cfi_offset 13, -40
	.cfi_offset 12, -48
	.cfi_offset 3, -56
	movq	%fs:40, %rax
	movq	%rax, -56(%rbp)
	xorl	%eax, %eax
	movq	%rsp, %rax
	movq	%rax, %rbx
	leaq	-112(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movl	-112(%rbp), %eax
	movslq	%eax, %rdx
	subq	$1, %rdx
	movq	%rdx, -88(%rbp)
	movslq	%eax, %rdx
	movq	%rdx, -128(%rbp)
	movq	$0, -120(%rbp)
	movslq	%eax, %rdx
	movq	%rdx, -144(%rbp)
	movq	$0, -136(%rbp)
	cltq
	leaq	0(,%rax,4), %rdx
	movl	$16, %eax
	subq	$1, %rax
	addq	%rdx, %rax
	movl	$16, %esi
	movl	$0, %edx
	divq	%rsi
	imulq	$16, %rax, %rax
	movq	%rax, %rcx
	andq	$-4096, %rcx
	movq	%rsp, %rdx
	subq	%rcx, %rdx
.L2:
	cmpq	%rdx, %rsp
	je	.L3
	subq	$4096, %rsp
	orq	$0, 4088(%rsp)
	jmp	.L2
.L3:
	movq	%rax, %rdx
	andl	$4095, %edx
	subq	%rdx, %rsp
	movq	%rax, %rdx
	andl	$4095, %edx
	testq	%rdx, %rdx
	je	.L4
	andl	$4095, %eax
	subq	$8, %rax
	addq	%rsp, %rax
	orq	$0, (%rax)
.L4:
	movq	%rsp, %rax
	addq	$3, %rax
	shrq	$2, %rax
	salq	$2, %rax
	movq	%rax, -80(%rbp)
	movl	-112(%rbp), %eax
	addl	$1, %eax
	movslq	%eax, %rdx
	subq	$1, %rdx
	movq	%rdx, -72(%rbp)
	movslq	%eax, %rdx
	movq	%rdx, %r14
	movl	$0, %r15d
	movslq	%eax, %rdx
	movq	%rdx, %r12
	movl	$0, %r13d
	cltq
	leaq	0(,%rax,4), %rdx
	movl	$16, %eax
	subq	$1, %rax
	addq	%rdx, %rax
	movl	$16, %edi
	movl	$0, %edx
	divq	%rdi
	imulq	$16, %rax, %rax
	movq	%rax, %rcx
	andq	$-4096, %rcx
	movq	%rsp, %rdx
	subq	%rcx, %rdx
.L5:
	cmpq	%rdx, %rsp
	je	.L6
	subq	$4096, %rsp
	orq	$0, 4088(%rsp)
	jmp	.L5
.L6:
	movq	%rax, %rdx
	andl	$4095, %edx
	subq	%rdx, %rsp
	movq	%rax, %rdx
	andl	$4095, %edx
	testq	%rdx, %rdx
	je	.L7
	andl	$4095, %eax
	subq	$8, %rax
	addq	%rsp, %rax
	orq	$0, (%rax)
.L7:
	movq	%rsp, %rax
	addq	$3, %rax
	shrq	$2, %rax
	salq	$2, %rax
	movq	%rax, -64(%rbp)
	movl	$0, -108(%rbp)
	jmp	.L8
.L9:
	movl	-108(%rbp), %eax
	cltq
	leaq	0(,%rax,4), %rdx
	movq	-80(%rbp), %rax
	addq	%rdx, %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movq	-64(%rbp), %rax
	movl	-108(%rbp), %edx
	movslq	%edx, %rdx
	movl	$0, (%rax,%rdx,4)
	addl	$1, -108(%rbp)
.L8:
	movl	-112(%rbp), %eax
	cmpl	%eax, -108(%rbp)
	jl	.L9
	movl	-112(%rbp), %eax
	subl	$1, %eax
	movl	%eax, -108(%rbp)
	jmp	.L10
.L15:
	movl	-112(%rbp), %eax
	movl	-108(%rbp), %edx
	leal	1(%rdx), %edi
	cltd
	idivl	%edi
	movl	%eax, -92(%rbp)
	movl	$0, -100(%rbp)
	cmpl	$1, -92(%rbp)
	jne	.L11
	movl	-108(%rbp), %eax
	leal	1(%rax), %esi
	movq	-80(%rbp), %rax
	movl	-108(%rbp), %edx
	movslq	%edx, %rdx
	movl	(%rax,%rdx,4), %ecx
	movq	-64(%rbp), %rax
	movslq	%esi, %rdx
	movl	%ecx, (%rax,%rdx,4)
	jmp	.L12
.L11:
	movl	$2, -104(%rbp)
	jmp	.L13
.L14:
	movl	-108(%rbp), %eax
	addl	$1, %eax
	imull	-104(%rbp), %eax
	movl	%eax, %edx
	movq	-64(%rbp), %rax
	movslq	%edx, %rdx
	movl	(%rax,%rdx,4), %eax
	addl	%eax, -100(%rbp)
	addl	$1, -104(%rbp)
.L13:
	movl	-104(%rbp), %eax
	cmpl	-92(%rbp), %eax
	jle	.L14
	movl	-100(%rbp), %eax
	cltd
	shrl	$31, %edx
	addl	%edx, %eax
	andl	$1, %eax
	subl	%edx, %eax
	movl	%eax, -100(%rbp)
	movq	-80(%rbp), %rax
	movl	-108(%rbp), %edx
	movslq	%edx, %rdx
	movl	(%rax,%rdx,4), %eax
	movl	-108(%rbp), %edx
	addl	$1, %edx
	xorl	-100(%rbp), %eax
	movl	%eax, %ecx
	movq	-64(%rbp), %rax
	movslq	%edx, %rdx
	movl	%ecx, (%rax,%rdx,4)
.L12:
	subl	$1, -108(%rbp)
.L10:
	cmpl	$0, -108(%rbp)
	jns	.L15
	movl	$0, -96(%rbp)
	movl	$1, -108(%rbp)
	jmp	.L16
.L18:
	movq	-64(%rbp), %rax
	movl	-108(%rbp), %edx
	movslq	%edx, %rdx
	movl	(%rax,%rdx,4), %eax
	cmpl	$1, %eax
	jne	.L17
	addl	$1, -96(%rbp)
.L17:
	addl	$1, -108(%rbp)
.L16:
	movl	-112(%rbp), %eax
	cmpl	%eax, -108(%rbp)
	jle	.L18
	movl	-96(%rbp), %eax
	movl	%eax, %esi
	leaq	.LC1(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	printf@PLT
	movl	$1, -108(%rbp)
	jmp	.L19
.L21:
	movq	-64(%rbp), %rax
	movl	-108(%rbp), %edx
	movslq	%edx, %rdx
	movl	(%rax,%rdx,4), %eax
	cmpl	$1, %eax
	jne	.L20
	movl	-108(%rbp), %eax
	movl	%eax, %esi
	leaq	.LC2(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	printf@PLT
.L20:
	addl	$1, -108(%rbp)
.L19:
	movl	-112(%rbp), %eax
	cmpl	%eax, -108(%rbp)
	jle	.L21
	movl	$0, %eax
	movq	%rbx, %rsp
	movq	-56(%rbp), %rdx
	subq	%fs:40, %rdx
	je	.L23
	call	__stack_chk_fail@PLT
.L23:
	leaq	-40(%rbp), %rsp
	popq	%rbx
	popq	%r12
	popq	%r13
	popq	%r14
	popq	%r15
	popq	%rbp
	.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"
.LC2:
	.string	"%d\n"
.LC3:
	.string	"%d "
	.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
	movq	%rsp, %rbp
	.cfi_def_cfa_register 6
	pushq	%r15
	pushq	%r14
	.cfi_offset 15, -24
	.cfi_offset 14, -32
	leaq	.LC0(%rip), %r14
	leaq	-60(%rbp), %rsi
	pushq	%r13
	movq	%r14, %rdi
	pushq	%r12
	pushq	%rbx
	subq	$24, %rsp
	.cfi_offset 13, -40
	.cfi_offset 12, -48
	.cfi_offset 3, -56
	movq	%fs:40, %rax
	movq	%rax, -56(%rbp)
	xorl	%eax, %eax
	call	__isoc99_scanf@PLT
	movslq	-60(%rbp), %rax
	movq	%rsp, %rdi
	movq	%rax, %rsi
	salq	$2, %rax
	leaq	15(%rax), %rdx
	movq	%rdx, %rcx
	andq	$-4096, %rdx
	subq	%rdx, %rdi
	andq	$-16, %rcx
	cmpq	%rdi, %rsp
	je	.L3
.L49:
	subq	$4096, %rsp
	orq	$0, 4088(%rsp)
	cmpq	%rdi, %rsp
	jne	.L49
.L3:
	andl	$4095, %ecx
	subq	%rcx, %rsp
	testq	%rcx, %rcx
	jne	.L50
.L4:
	addq	$19, %rax
	movq	%rsp, %rcx
	movq	%rsp, %rbx
	movq	%rax, %rdx
	andq	$-4096, %rax
	andq	$-16, %rdx
	subq	%rax, %rcx
.L5:
	cmpq	%rcx, %rsp
	je	.L6
	subq	$4096, %rsp
	orq	$0, 4088(%rsp)
	jmp	.L5
.L50:
	orq	$0, -8(%rsp,%rcx)
	jmp	.L4
.L6:
	andl	$4095, %edx
	subq	%rdx, %rsp
	testq	%rdx, %rdx
	jne	.L51
.L7:
	movq	%rsp, %r12
	testl	%esi, %esi
	jle	.L8
	movq	%rbx, %r15
	xorl	%r13d, %r13d
	.p2align 4,,10
	.p2align 3
.L9:
	movq	%r15, %rsi
	movq	%r14, %rdi
	xorl	%eax, %eax
	addq	$4, %r15
	call	__isoc99_scanf@PLT
	movl	-60(%rbp), %r8d
	movl	$0, (%r12,%r13,4)
	addq	$1, %r13
	cmpl	%r13d, %r8d
	jg	.L9
	leal	-1(%r8), %r10d
	movl	%r10d, %r9d
	testl	%r10d, %r10d
	js	.L10
	movslq	%r8d, %rdi
	salq	$2, %rdi
	jmp	.L14
	.p2align 4,,10
	.p2align 3
.L11:
	subl	$1, %r9d
	movl	%r11d, (%r12,%rdi)
	subq	$4, %rdi
	cmpl	$-1, %r9d
	je	.L10
.L14:
	movl	%r8d, %eax
	leal	1(%r9), %ecx
	movl	-4(%rbx,%rdi), %r11d
	cltd
	idivl	%ecx
	cmpl	$1, %eax
	je	.L11
	jle	.L29
	leaq	(%r12,%rdi,2), %rsi
	addl	$1, %eax
	xorl	%edx, %edx
	movl	$2, %ecx
	.p2align 4,,10
	.p2align 3
.L13:
	addl	$1, %ecx
	addl	(%rsi), %edx
	addq	%rdi, %rsi
	cmpl	%eax, %ecx
	jne	.L13
.L12:
	movl	%edx, %eax
	shrl	$31, %eax
	addl	%eax, %edx
	andl	$1, %edx
	subl	%eax, %edx
	xorl	%edx, %r11d
	jmp	.L11
	.p2align 4,,10
	.p2align 3
.L10:
	testl	%r8d, %r8d
	jle	.L8
	cmpl	$2, %r10d
	jbe	.L30
	movl	%r8d, %edx
	movdqa	.LC1(%rip), %xmm2
	leaq	4(%r12), %rax
	pxor	%xmm0, %xmm0
	shrl	$2, %edx
	subl	$1, %edx
	salq	$4, %rdx
	leaq	20(%r12,%rdx), %rdx
	.p2align 4,,10
	.p2align 3
.L18:
	movdqu	(%rax), %xmm1
	addq	$16, %rax
	pcmpeqd	%xmm2, %xmm1
	psubd	%xmm1, %xmm0
	cmpq	%rdx, %rax
	jne	.L18
	movdqa	%xmm0, %xmm1
	movl	%r8d, %ecx
	psrldq	$8, %xmm1
	andl	$-4, %ecx
	paddd	%xmm1, %xmm0
	leal	1(%rcx), %eax
	movdqa	%xmm0, %xmm1
	psrldq	$4, %xmm1
	paddd	%xmm1, %xmm0
	movd	%xmm0, %edx
	cmpl	%ecx, %r8d
	je	.L16
.L17:
	movslq	%eax, %rcx
	xorl	%esi, %esi
	leaq	(%r12,%rcx,4), %rcx
	cmpl	$1, (%rcx)
	sete	%sil
	addl	%esi, %edx
	leal	1(%rax), %esi
	cmpl	%esi, %r8d
	jl	.L16
	cmpl	$1, 4(%rcx)
	jne	.L21
	addl	$1, %edx
.L21:
	addl	$2, %eax
	cmpl	%eax, %r8d
	jl	.L16
	cmpl	$1, 8(%rcx)
	jne	.L16
	addl	$1, %edx
	.p2align 4,,10
	.p2align 3
.L16:
	leaq	.LC2(%rip), %rsi
	movl	$1, %edi
	xorl	%eax, %eax
	movl	$1, %ebx
	call	__printf_chk@PLT
	movl	-60(%rbp), %eax
	leaq	.LC3(%rip), %r13
	testl	%eax, %eax
	jle	.L27
	.p2align 4,,10
	.p2align 3
.L24:
	cmpl	$1, (%r12,%rbx,4)
	movl	%ebx, %edx
	je	.L52
	addq	$1, %rbx
	cmpl	%ebx, %eax
	jge	.L24
.L27:
	movq	-56(%rbp), %rax
	subq	%fs:40, %rax
	jne	.L53
	leaq	-40(%rbp), %rsp
	xorl	%eax, %eax
	popq	%rbx
	popq	%r12
	popq	%r13
	popq	%r14
	popq	%r15
	popq	%rbp
	.cfi_remember_state
	.cfi_def_cfa 7, 8
	ret
	.p2align 4,,10
	.p2align 3
.L52:
	.cfi_restore_state
	movq	%r13, %rsi
	movl	$1, %edi
	xorl	%eax, %eax
	addq	$1, %rbx
	call	__printf_chk@PLT
	movl	-60(%rbp), %eax
	cmpl	%ebx, %eax
	jge	.L24
	jmp	.L27
.L29:
	xorl	%edx, %edx
	jmp	.L12
.L8:
	xorl	%edx, %edx
	jmp	.L16
.L30:
	xorl	%edx, %edx
	movl	$1, %eax
	jmp	.L17
.L51:
	orq	$0, -8(%rsp,%rdx)
	jmp	.L7
.L53:
	call	__stack_chk_fail@PLT
	.cfi_endproc
.LFE23:
	.size	main, .-main
	.section	.rodata.cst16,"aM",@progbits,16
	.align 16
.LC1:
	.long	1
	.long	1
	.long	1
	.long	1
	.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"
.LC2:
	.string	"%d\n"
.LC3:
	.string	"%d "
	.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
	movq	%rsp, %rbp
	.cfi_def_cfa_register 6
	pushq	%r15
	pushq	%r14
	.cfi_offset 15, -24
	.cfi_offset 14, -32
	leaq	.LC0(%rip), %r14
	leaq	-60(%rbp), %rsi
	pushq	%r13
	movq	%r14, %rdi
	pushq	%r12
	pushq	%rbx
	subq	$24, %rsp
	.cfi_offset 13, -40
	.cfi_offset 12, -48
	.cfi_offset 3, -56
	movq	%fs:40, %rax
	movq	%rax, -56(%rbp)
	xorl	%eax, %eax
	call	__isoc99_scanf@PLT
	movslq	-60(%rbp), %rax
	movq	%rsp, %rdi
	movq	%rax, %rsi
	salq	$2, %rax
	leaq	15(%rax), %rdx
	movq	%rdx, %rcx
	andq	$-4096, %rdx
	subq	%rdx, %rdi
	andq	$-16, %rcx
	cmpq	%rdi, %rsp
	je	.L3
.L49:
	subq	$4096, %rsp
	orq	$0, 4088(%rsp)
	cmpq	%rdi, %rsp
	jne	.L49
.L3:
	andl	$4095, %ecx
	subq	%rcx, %rsp
	testq	%rcx, %rcx
	jne	.L50
.L4:
	addq	$19, %rax
	movq	%rsp, %rcx
	movq	%rsp, %rbx
	movq	%rax, %rdx
	andq	$-4096, %rax
	andq	$-16, %rdx
	subq	%rax, %rcx
.L5:
	cmpq	%rcx, %rsp
	je	.L6
	subq	$4096, %rsp
	orq	$0, 4088(%rsp)
	jmp	.L5
.L50:
	orq	$0, -8(%rsp,%rcx)
	jmp	.L4
.L6:
	andl	$4095, %edx
	subq	%rdx, %rsp
	testq	%rdx, %rdx
	jne	.L51
.L7:
	movq	%rsp, %r12
	testl	%esi, %esi
	jle	.L8
	movq	%rbx, %r15
	xorl	%r13d, %r13d
	.p2align 4,,10
	.p2align 3
.L9:
	movq	%r15, %rsi
	movq	%r14, %rdi
	xorl	%eax, %eax
	addq	$4, %r15
	call	__isoc99_scanf@PLT
	movl	-60(%rbp), %r8d
	movl	$0, (%r12,%r13,4)
	addq	$1, %r13
	cmpl	%r13d, %r8d
	jg	.L9
	leal	-1(%r8), %r10d
	movl	%r10d, %r9d
	testl	%r10d, %r10d
	js	.L10
	movslq	%r8d, %rdi
	salq	$2, %rdi
	jmp	.L14
	.p2align 4,,10
	.p2align 3
.L11:
	subl	$1, %r9d
	movl	%r11d, (%r12,%rdi)
	subq	$4, %rdi
	cmpl	$-1, %r9d
	je	.L10
.L14:
	movl	%r8d, %eax
	leal	1(%r9), %ecx
	movl	-4(%rbx,%rdi), %r11d
	cltd
	idivl	%ecx
	cmpl	$1, %eax
	je	.L11
	jle	.L29
	leaq	(%r12,%rdi,2), %rsi
	addl	$1, %eax
	xorl	%edx, %edx
	movl	$2, %ecx
	.p2align 4,,10
	.p2align 3
.L13:
	addl	$1, %ecx
	addl	(%rsi), %edx
	addq	%rdi, %rsi
	cmpl	%eax, %ecx
	jne	.L13
.L12:
	movl	%edx, %eax
	shrl	$31, %eax
	addl	%eax, %edx
	andl	$1, %edx
	subl	%eax, %edx
	xorl	%edx, %r11d
	jmp	.L11
	.p2align 4,,10
	.p2align 3
.L10:
	testl	%r8d, %r8d
	jle	.L8
	cmpl	$2, %r10d
	jbe	.L30
	movl	%r8d, %edx
	movdqa	.LC1(%rip), %xmm2
	leaq	4(%r12), %rax
	pxor	%xmm0, %xmm0
	shrl	$2, %edx
	subl	$1, %edx
	salq	$4, %rdx
	leaq	20(%r12,%rdx), %rdx
	.p2align 4,,10
	.p2align 3
.L18:
	movdqu	(%rax), %xmm1
	addq	$16, %rax
	pcmpeqd	%xmm2, %xmm1
	psubd	%xmm1, %xmm0
	cmpq	%rdx, %rax
	jne	.L18
	movdqa	%xmm0, %xmm1
	movl	%r8d, %ecx
	psrldq	$8, %xmm1
	andl	$-4, %ecx
	paddd	%xmm1, %xmm0
	leal	1(%rcx), %eax
	movdqa	%xmm0, %xmm1
	psrldq	$4, %xmm1
	paddd	%xmm1, %xmm0
	movd	%xmm0, %edx
	cmpl	%ecx, %r8d
	je	.L16
.L17:
	movslq	%eax, %rcx
	xorl	%esi, %esi
	leaq	(%r12,%rcx,4), %rcx
	cmpl	$1, (%rcx)
	sete	%sil
	addl	%esi, %edx
	leal	1(%rax), %esi
	cmpl	%esi, %r8d
	jl	.L16
	cmpl	$1, 4(%rcx)
	jne	.L21
	addl	$1, %edx
.L21:
	addl	$2, %eax
	cmpl	%eax, %r8d
	jl	.L16
	cmpl	$1, 8(%rcx)
	jne	.L16
	addl	$1, %edx
	.p2align 4,,10
	.p2align 3
.L16:
	leaq	.LC2(%rip), %rsi
	movl	$1, %edi
	xorl	%eax, %eax
	movl	$1, %ebx
	call	__printf_chk@PLT
	movl	-60(%rbp), %eax
	leaq	.LC3(%rip), %r13
	testl	%eax, %eax
	jle	.L27
	.p2align 4,,10
	.p2align 3
.L24:
	cmpl	$1, (%r12,%rbx,4)
	movl	%ebx, %edx
	je	.L52
	addq	$1, %rbx
	cmpl	%ebx, %eax
	jge	.L24
.L27:
	movq	-56(%rbp), %rax
	subq	%fs:40, %rax
	jne	.L53
	leaq	-40(%rbp), %rsp
	xorl	%eax, %eax
	popq	%rbx
	popq	%r12
	popq	%r13
	popq	%r14
	popq	%r15
	popq	%rbp
	.cfi_remember_state
	.cfi_def_cfa 7, 8
	ret
	.p2align 4,,10
	.p2align 3
.L52:
	.cfi_restore_state
	movq	%r13, %rsi
	movl	$1, %edi
	xorl	%eax, %eax
	addq	$1, %rbx
	call	__printf_chk@PLT
	movl	-60(%rbp), %eax
	cmpl	%ebx, %eax
	jge	.L24
	jmp	.L27
.L29:
	xorl	%edx, %edx
	jmp	.L12
.L8:
	xorl	%edx, %edx
	jmp	.L16
.L30:
	xorl	%edx, %edx
	movl	$1, %eax
	jmp	.L17
.L51:
	orq	$0, -8(%rsp,%rdx)
	jmp	.L7
.L53:
	call	__stack_chk_fail@PLT
	.cfi_endproc
.LFE23:
	.size	main, .-main
	.section	.rodata.cst16,"aM",@progbits,16
	.align 16
.LC1:
	.long	1
	.long	1
	.long	1
	.long	1
	.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 i,j;

    scanf("%d",&N);

    int a[N];
    int f[N+1];

    for(i=0;i<N;i++){
        scanf("%d",&a[i]);
        f[i]=0;
    }

    for(i=N-1;i>=0;i--){
        int base=N/(i+1);
        int sum_f=0;
        if(base==1){
            f[i+1]=a[i];
        }else{
            for(j=2;j<=base;j++){
                sum_f+=f[(i+1)*j];
            }
            sum_f%=2;
            f[i+1]=sum_f^a[i];
        }
    }
    int count=0;
    for(i=1;i<=N;i++){
        if(f[i]==1){
            count++;
        }
    }

    printf("%d\n",count);
    for(i=1;i<=N;i++){
        if(f[i]==1){
            printf("%d ",i);
        }
    }

    return 0;
}
3
1 0 1
 3
1 1 0
 3
0 0 0
 5
1 0 0 0 0
 5
1 0 0 0 1
 5
1 1 0 1 0
 5
1 0 1 0 0
 5
1 1 0 0 0
 5
1 0 0 0 0
 3
0 0 0

1
3  1
2  0
 1
1  1
5  1
4  1
3  1
2  1
1  0

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 i,j;

    scanf("%d",&N);

    int a[N];
    int f[N+1];

    for(i=0;i<N;i++){
        scanf("%d",&a[i]);
        f[i]=0;
    }

    for(i=N-1;i>=0;i--){
        int base=N/(i+1);
        int sum_f=0;
        if(base==1){
            f[i+1]=a[i];
        }else{
            for(j=2;j<=base;j++){
                sum_f+=f[(i+1)*j];
            }
            sum_f%=2;
            f[i+1]=sum_f^a[i];
        }
    }
    int count=0;
    for(i=1;i<=N;i++){
        if(f[i]==1){
            count++;
        }
    }

    printf("%d\n",count);
    for(i=1;i<=N;i++){
        if(f[i]==1){
            printf("%d ",i);
        }
    }

    return 0;
}```

Unoptimized Assembly Code:

```assembly
	.file	"temp.c"
	.text
	.section	.rodata
.LC0:
	.string	"%d"
.LC1:
	.string	"%d\n"
.LC2:
	.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
	pushq	%r15
	pushq	%r14
	pushq	%r13
	pushq	%r12
	pushq	%rbx
	subq	$104, %rsp
	.cfi_offset 15, -24
	.cfi_offset 14, -32
	.cfi_offset 13, -40
	.cfi_offset 12, -48
	.cfi_offset 3, -56
	movq	%fs:40, %rax
	movq	%rax, -56(%rbp)
	xorl	%eax, %eax
	movq	%rsp, %rax
	movq	%rax, %rbx
	leaq	-112(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movl	-112(%rbp), %eax
	movslq	%eax, %rdx
	subq	$1, %rdx
	movq	%rdx, -88(%rbp)
	movslq	%eax, %rdx
	movq	%rdx, -128(%rbp)
	movq	$0, -120(%rbp)
	movslq	%eax, %rdx
	movq	%rdx, -144(%rbp)
	movq	$0, -136(%rbp)
	cltq
	leaq	0(,%rax,4), %rdx
	movl	$16, %eax
	subq	$1, %rax
	addq	%rdx, %rax
	movl	$16, %esi
	movl	$0, %edx
	divq	%rsi
	imulq	$16, %rax, %rax
	movq	%rax, %rcx
	andq	$-4096, %rcx
	movq	%rsp, %rdx
	subq	%rcx, %rdx
.L2:
	cmpq	%rdx, %rsp
	je	.L3
	subq	$4096, %rsp
	orq	$0, 4088(%rsp)
	jmp	.L2
.L3:
	movq	%rax, %rdx
	andl	$4095, %edx
	subq	%rdx, %rsp
	movq	%rax, %rdx
	andl	$4095, %edx
	testq	%rdx, %rdx
	je	.L4
	andl	$4095, %eax
	subq	$8, %rax
	addq	%rsp, %rax
	orq	$0, (%rax)
.L4:
	movq	%rsp, %rax
	addq	$3, %rax
	shrq	$2, %rax
	salq	$2, %rax
	movq	%rax, -80(%rbp)
	movl	-112(%rbp), %eax
	addl	$1, %eax
	movslq	%eax, %rdx
	subq	$1, %rdx
	movq	%rdx, -72(%rbp)
	movslq	%eax, %rdx
	movq	%rdx, %r14
	movl	$0, %r15d
	movslq	%eax, %rdx
	movq	%rdx, %r12
	movl	$0, %r13d
	cltq
	leaq	0(,%rax,4), %rdx
	movl	$16, %eax
	subq	$1, %rax
	addq	%rdx, %rax
	movl	$16, %edi
	movl	$0, %edx
	divq	%rdi
	imulq	$16, %rax, %rax
	movq	%rax, %rcx
	andq	$-4096, %rcx
	movq	%rsp, %rdx
	subq	%rcx, %rdx
.L5:
	cmpq	%rdx, %rsp
	je	.L6
	subq	$4096, %rsp
	orq	$0, 4088(%rsp)
	jmp	.L5
.L6:
	movq	%rax, %rdx
	andl	$4095, %edx
	subq	%rdx, %rsp
	movq	%rax, %rdx
	andl	$4095, %edx
	testq	%rdx, %rdx
	je	.L7
	andl	$4095, %eax
	subq	$8, %rax
	addq	%rsp, %rax
	orq	$0, (%rax)
.L7:
	movq	%rsp, %rax
	addq	$3, %rax
	shrq	$2, %rax
	salq	$2, %rax
	movq	%rax, -64(%rbp)
	movl	$0, -108(%rbp)
	jmp	.L8
.L9:
	movl	-108(%rbp), %eax
	cltq
	leaq	0(,%rax,4), %rdx
	movq	-80(%rbp), %rax
	addq	%rdx, %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movq	-64(%rbp), %rax
	movl	-108(%rbp), %edx
	movslq	%edx, %rdx
	movl	$0, (%rax,%rdx,4)
	addl	$1, -108(%rbp)
.L8:
	movl	-112(%rbp), %eax
	cmpl	%eax, -108(%rbp)
	jl	.L9
	movl	-112(%rbp), %eax
	subl	$1, %eax
	movl	%eax, -108(%rbp)
	jmp	.L10
.L15:
	movl	-112(%rbp), %eax
	movl	-108(%rbp), %edx
	leal	1(%rdx), %edi
	cltd
	idivl	%edi
	movl	%eax, -92(%rbp)
	movl	$0, -100(%rbp)
	cmpl	$1, -92(%rbp)
	jne	.L11
	movl	-108(%rbp), %eax
	leal	1(%rax), %esi
	movq	-80(%rbp), %rax
	movl	-108(%rbp), %edx
	movslq	%edx, %rdx
	movl	(%rax,%rdx,4), %ecx
	movq	-64(%rbp), %rax
	movslq	%esi, %rdx
	movl	%ecx, (%rax,%rdx,4)
	jmp	.L12
.L11:
	movl	$2, -104(%rbp)
	jmp	.L13
.L14:
	movl	-108(%rbp), %eax
	addl	$1, %eax
	imull	-104(%rbp), %eax
	movl	%eax, %edx
	movq	-64(%rbp), %rax
	movslq	%edx, %rdx
	movl	(%rax,%rdx,4), %eax
	addl	%eax, -100(%rbp)
	addl	$1, -104(%rbp)
.L13:
	movl	-104(%rbp), %eax
	cmpl	-92(%rbp), %eax
	jle	.L14
	movl	-100(%rbp), %eax
	cltd
	shrl	$31, %edx
	addl	%edx, %eax
	andl	$1, %eax
	subl	%edx, %eax
	movl	%eax, -100(%rbp)
	movq	-80(%rbp), %rax
	movl	-108(%rbp), %edx
	movslq	%edx, %rdx
	movl	(%rax,%rdx,4), %eax
	movl	-108(%rbp), %edx
	addl	$1, %edx
	xorl	-100(%rbp), %eax
	movl	%eax, %ecx
	movq	-64(%rbp), %rax
	movslq	%edx, %rdx
	movl	%ecx, (%rax,%rdx,4)
.L12:
	subl	$1, -108(%rbp)
.L10:
	cmpl	$0, -108(%rbp)
	jns	.L15
	movl	$0, -96(%rbp)
	movl	$1, -108(%rbp)
	jmp	.L16
.L18:
	movq	-64(%rbp), %rax
	movl	-108(%rbp), %edx
	movslq	%edx, %rdx
	movl	(%rax,%rdx,4), %eax
	cmpl	$1, %eax
	jne	.L17
	addl	$1, -96(%rbp)
.L17:
	addl	$1, -108(%rbp)
.L16:
	movl	-112(%rbp), %eax
	cmpl	%eax, -108(%rbp)
	jle	.L18
	movl	-96(%rbp), %eax
	movl	%eax, %esi
	leaq	.LC1(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	printf@PLT
	movl	$1, -108(%rbp)
	jmp	.L19
.L21:
	movq	-64(%rbp), %rax
	movl	-108(%rbp), %edx
	movslq	%edx, %rdx
	movl	(%rax,%rdx,4), %eax
	cmpl	$1, %eax
	jne	.L20
	movl	-108(%rbp), %eax
	movl	%eax, %esi
	leaq	.LC2(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	printf@PLT
.L20:
	addl	$1, -108(%rbp)
.L19:
	movl	-112(%rbp), %eax
	cmpl	%eax, -108(%rbp)
	jle	.L21
	movl	$0, %eax
	movq	%rbx, %rsp
	movq	-56(%rbp), %rdx
	subq	%fs:40, %rdx
	je	.L23
	call	__stack_chk_fail@PLT
.L23:
	leaq	-40(%rbp), %rsp
	popq	%rbx
	popq	%r12
	popq	%r13
	popq	%r14
	popq	%r15
	popq	%rbp
	.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"
.LC1:
	.string	"%d\n"
.LC2:
	.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
	pushq	%r15
	pushq	%r14
	pushq	%r13
	pushq	%r12
	pushq	%rbx
	subq	$104, %rsp
	.cfi_offset 15, -24
	.cfi_offset 14, -32
	.cfi_offset 13, -40
	.cfi_offset 12, -48
	.cfi_offset 3, -56
	movq	%fs:40, %rax
	movq	%rax, -56(%rbp)
	xorl	%eax, %eax
	movq	%rsp, %rax
	movq	%rax, %rbx
	leaq	-112(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movl	-112(%rbp), %eax
	movslq	%eax, %rdx
	subq	$1, %rdx
	movq	%rdx, -88(%rbp)
	movslq	%eax, %rdx
	movq	%rdx, -128(%rbp)
	movq	$0, -120(%rbp)
	movslq	%eax, %rdx
	movq	%rdx, -144(%rbp)
	movq	$0, -136(%rbp)
	cltq
	leaq	0(,%rax,4), %rdx
	movl	$16, %eax
	subq	$1, %rax
	addq	%rdx, %rax
	movl	$16, %esi
	movl	$0, %edx
	divq	%rsi
	imulq	$16, %rax, %rax
	movq	%rax, %rcx
	andq	$-4096, %rcx
	movq	%rsp, %rdx
	subq	%rcx, %rdx
.L2:
	cmpq	%rdx, %rsp
	je	.L3
	subq	$4096, %rsp
	orq	$0, 4088(%rsp)
	jmp	.L2
.L3:
	movq	%rax, %rdx
	andl	$4095, %edx
	subq	%rdx, %rsp
	movq	%rax, %rdx
	andl	$4095, %edx
	testq	%rdx, %rdx
	je	.L4
	andl	$4095, %eax
	subq	$8, %rax
	addq	%rsp, %rax
	orq	$0, (%rax)
.L4:
	movq	%rsp, %rax
	addq	$3, %rax
	shrq	$2, %rax
	salq	$2, %rax
	movq	%rax, -80(%rbp)
	movl	-112(%rbp), %eax
	addl	$1, %eax
	movslq	%eax, %rdx
	subq	$1, %rdx
	movq	%rdx, -72(%rbp)
	movslq	%eax, %rdx
	movq	%rdx, %r14
	movl	$0, %r15d
	movslq	%eax, %rdx
	movq	%rdx, %r12
	movl	$0, %r13d
	cltq
	leaq	0(,%rax,4), %rdx
	movl	$16, %eax
	subq	$1, %rax
	addq	%rdx, %rax
	movl	$16, %edi
	movl	$0, %edx
	divq	%rdi
	imulq	$16, %rax, %rax
	movq	%rax, %rcx
	andq	$-4096, %rcx
	movq	%rsp, %rdx
	subq	%rcx, %rdx
.L5:
	cmpq	%rdx, %rsp
	je	.L6
	subq	$4096, %rsp
	orq	$0, 4088(%rsp)
	jmp	.L5
.L6:
	movq	%rax, %rdx
	andl	$4095, %edx
	subq	%rdx, %rsp
	movq	%rax, %rdx
	andl	$4095, %edx
	testq	%rdx, %rdx
	je	.L7
	andl	$4095, %eax
	subq	$8, %rax
	addq	%rsp, %rax
	orq	$0, (%rax)
.L7:
	movq	%rsp, %rax
	addq	$3, %rax
	shrq	$2, %rax
	salq	$2, %rax
	movq	%rax, -64(%rbp)
	movl	$0, -108(%rbp)
	jmp	.L8
.L9:
	movl	-108(%rbp), %eax
	cltq
	leaq	0(,%rax,4), %rdx
	movq	-80(%rbp), %rax
	addq	%rdx, %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movq	-64(%rbp), %rax
	movl	-108(%rbp), %edx
	movslq	%edx, %rdx
	movl	$0, (%rax,%rdx,4)
	addl	$1, -108(%rbp)
.L8:
	movl	-112(%rbp), %eax
	cmpl	%eax, -108(%rbp)
	jl	.L9
	movl	-112(%rbp), %eax
	subl	$1, %eax
	movl	%eax, -108(%rbp)
	jmp	.L10
.L15:
	movl	-112(%rbp), %eax
	movl	-108(%rbp), %edx
	leal	1(%rdx), %edi
	cltd
	idivl	%edi
	movl	%eax, -92(%rbp)
	movl	$0, -100(%rbp)
	cmpl	$1, -92(%rbp)
	jne	.L11
	movl	-108(%rbp), %eax
	leal	1(%rax), %esi
	movq	-80(%rbp), %rax
	movl	-108(%rbp), %edx
	movslq	%edx, %rdx
	movl	(%rax,%rdx,4), %ecx
	movq	-64(%rbp), %rax
	movslq	%esi, %rdx
	movl	%ecx, (%rax,%rdx,4)
	jmp	.L12
.L11:
	movl	$2, -104(%rbp)
	jmp	.L13
.L14:
	movl	-108(%rbp), %eax
	addl	$1, %eax
	imull	-104(%rbp), %eax
	movl	%eax, %edx
	movq	-64(%rbp), %rax
	movslq	%edx, %rdx
	movl	(%rax,%rdx,4), %eax
	addl	%eax, -100(%rbp)
	addl	$1, -104(%rbp)
.L13:
	movl	-104(%rbp), %eax
	cmpl	-92(%rbp), %eax
	jle	.L14
	movl	-100(%rbp), %eax
	cltd
	shrl	$31, %edx
	addl	%edx, %eax
	andl	$1, %eax
	subl	%edx, %eax
	movl	%eax, -100(%rbp)
	movq	-80(%rbp), %rax
	movl	-108(%rbp), %edx
	movslq	%edx, %rdx
	movl	(%rax,%rdx,4), %eax
	movl	-108(%rbp), %edx
	addl	$1, %edx
	xorl	-100(%rbp), %eax
	movl	%eax, %ecx
	movq	-64(%rbp), %rax
	movslq	%edx, %rdx
	movl	%ecx, (%rax,%rdx,4)
.L12:
	subl	$1, -108(%rbp)
.L10:
	cmpl	$0, -108(%rbp)
	jns	.L15
	movl	$0, -96(%rbp)
	movl	$1, -108(%rbp)
	jmp	.L16
.L18:
	movq	-64(%rbp), %rax
	movl	-108(%rbp), %edx
	movslq	%edx, %rdx
	movl	(%rax,%rdx,4), %eax
	cmpl	$1, %eax
	jne	.L17
	addl	$1, -96(%rbp)
.L17:
	addl	$1, -108(%rbp)
.L16:
	movl	-112(%rbp), %eax
	cmpl	%eax, -108(%rbp)
	jle	.L18
	movl	-96(%rbp), %eax
	movl	%eax, %esi
	leaq	.LC1(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	printf@PLT
	movl	$1, -108(%rbp)
	jmp	.L19
.L21:
	movq	-64(%rbp), %rax
	movl	-108(%rbp), %edx
	movslq	%edx, %rdx
	movl	(%rax,%rdx,4), %eax
	cmpl	$1, %eax
	jne	.L20
	movl	-108(%rbp), %eax
	movl	%eax, %esi
	leaq	.LC2(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	printf@PLT
.L20:
	addl	$1, -108(%rbp)
.L19:
	movl	-112(%rbp), %eax
	cmpl	%eax, -108(%rbp)
	jle	.L21
	movl	$0, %eax
	movq	%rbx, %rsp
	movq	-56(%rbp), %rdx
	subq	%fs:40, %rdx
	je	.L23
	call	__stack_chk_fail@PLT
.L23:
	leaq	-40(%rbp), %rsp
	popq	%rbx
	popq	%r12
	popq	%r13
	popq	%r14
	popq	%r15
	popq	%rbp
	.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:
