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 <math.h>

typedef struct t_xy{
	int				x;
	int				y;
	// struct t_xy	*next;
}					s_xy;

int	ft_iterative_factorial(int nb)
{
	int	n;

	n = nb - 1;
	while (n)
	{
		nb *= n;
		n--;
	}
	return (nb);
}

int		main()
{
	s_xy	*p, *before;
	int		N, n, x, y, i, k;
	double	sum, ans;

	ans = 0;
	scanf("%d\n", &N);
	// n = ft_iterative_factorial(N - 2);
	// n = ft_iterative_factorial(N - 1) * ft_iterative_factorial(N - 2);
	// N! * (N - 1) / ((N * (N - 1)) / (N - 1)!)
	p = (s_xy *)malloc(sizeof(s_xy) * (N + 1));
	i = 0;
	while (i < N)
	{
		scanf("%d %d\n", &p[i].x, &p[i].y);
		i++;
	}
	i = 0;
	while (i < (N - 1))
	{
		k = i + 1;
		while (k < N)
		{
			sum = 0;
			sum = pow((p[i].x - p[k].x), 2.0);
			sum += pow((p[i].y - p[k].y), 2.0);
			ans += sqrt(sum);
			k++;
			// printf("%d: sum = %f\n", i, sum);
		}
		i++;
	}
	// printf("%f\n", ans);

	// ans *= (double)n;
	// ans /= (double)ft_iterative_factorial(N);
	ans *= 2.0 / (double)N;
	printf("%.10f\n", ans);

	return (0);
}
```

Unoptimized Assembly Code:

```assembly
	.file	"temp.c"
	.text
	.globl	ft_iterative_factorial
	.type	ft_iterative_factorial, @function
ft_iterative_factorial:
.LFB6:
	.cfi_startproc
	endbr64
	pushq	%rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	movq	%rsp, %rbp
	.cfi_def_cfa_register 6
	movl	%edi, -20(%rbp)
	movl	-20(%rbp), %eax
	subl	$1, %eax
	movl	%eax, -4(%rbp)
	jmp	.L2
.L3:
	movl	-20(%rbp), %eax
	imull	-4(%rbp), %eax
	movl	%eax, -20(%rbp)
	subl	$1, -4(%rbp)
.L2:
	cmpl	$0, -4(%rbp)
	jne	.L3
	movl	-20(%rbp), %eax
	popq	%rbp
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE6:
	.size	ft_iterative_factorial, .-ft_iterative_factorial
	.section	.rodata
.LC1:
	.string	"%d\n"
.LC2:
	.string	"%d %d\n"
.LC4:
	.string	"%.10f\n"
	.text
	.globl	main
	.type	main, @function
main:
.LFB7:
	.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
	pxor	%xmm0, %xmm0
	movsd	%xmm0, -32(%rbp)
	leaq	-44(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC1(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movl	-44(%rbp), %eax
	addl	$1, %eax
	cltq
	salq	$3, %rax
	movq	%rax, %rdi
	call	malloc@PLT
	movq	%rax, -24(%rbp)
	movl	$0, -40(%rbp)
	jmp	.L6
.L7:
	movl	-40(%rbp), %eax
	cltq
	leaq	0(,%rax,8), %rdx
	movq	-24(%rbp), %rax
	addq	%rdx, %rax
	addq	$4, %rax
	movl	-40(%rbp), %edx
	movslq	%edx, %rdx
	leaq	0(,%rdx,8), %rcx
	movq	-24(%rbp), %rdx
	addq	%rcx, %rdx
	movq	%rdx, %rcx
	movq	%rax, %rdx
	movq	%rcx, %rsi
	leaq	.LC2(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	addl	$1, -40(%rbp)
.L6:
	movl	-44(%rbp), %eax
	cmpl	%eax, -40(%rbp)
	jl	.L7
	movl	$0, -40(%rbp)
	jmp	.L8
.L11:
	movl	-40(%rbp), %eax
	addl	$1, %eax
	movl	%eax, -36(%rbp)
	jmp	.L9
.L10:
	pxor	%xmm0, %xmm0
	movsd	%xmm0, -16(%rbp)
	movl	-40(%rbp), %eax
	cltq
	leaq	0(,%rax,8), %rdx
	movq	-24(%rbp), %rax
	addq	%rdx, %rax
	movl	(%rax), %eax
	movl	-36(%rbp), %edx
	movslq	%edx, %rdx
	leaq	0(,%rdx,8), %rcx
	movq	-24(%rbp), %rdx
	addq	%rcx, %rdx
	movl	(%rdx), %edx
	subl	%edx, %eax
	pxor	%xmm2, %xmm2
	cvtsi2sdl	%eax, %xmm2
	movq	%xmm2, %rax
	movsd	.LC3(%rip), %xmm0
	movapd	%xmm0, %xmm1
	movq	%rax, %xmm0
	call	pow@PLT
	movq	%xmm0, %rax
	movq	%rax, -16(%rbp)
	movl	-40(%rbp), %eax
	cltq
	leaq	0(,%rax,8), %rdx
	movq	-24(%rbp), %rax
	addq	%rdx, %rax
	movl	4(%rax), %eax
	movl	-36(%rbp), %edx
	movslq	%edx, %rdx
	leaq	0(,%rdx,8), %rcx
	movq	-24(%rbp), %rdx
	addq	%rcx, %rdx
	movl	4(%rdx), %edx
	subl	%edx, %eax
	pxor	%xmm3, %xmm3
	cvtsi2sdl	%eax, %xmm3
	movq	%xmm3, %rax
	movsd	.LC3(%rip), %xmm0
	movapd	%xmm0, %xmm1
	movq	%rax, %xmm0
	call	pow@PLT
	movsd	-16(%rbp), %xmm1
	addsd	%xmm1, %xmm0
	movsd	%xmm0, -16(%rbp)
	movq	-16(%rbp), %rax
	movq	%rax, %xmm0
	call	sqrt@PLT
	movsd	-32(%rbp), %xmm1
	addsd	%xmm1, %xmm0
	movsd	%xmm0, -32(%rbp)
	addl	$1, -36(%rbp)
.L9:
	movl	-44(%rbp), %eax
	cmpl	%eax, -36(%rbp)
	jl	.L10
	addl	$1, -40(%rbp)
.L8:
	movl	-44(%rbp), %eax
	subl	$1, %eax
	cmpl	%eax, -40(%rbp)
	jl	.L11
	movl	-44(%rbp), %eax
	pxor	%xmm1, %xmm1
	cvtsi2sdl	%eax, %xmm1
	movsd	.LC3(%rip), %xmm0
	divsd	%xmm1, %xmm0
	movsd	-32(%rbp), %xmm1
	mulsd	%xmm1, %xmm0
	movsd	%xmm0, -32(%rbp)
	movq	-32(%rbp), %rax
	movq	%rax, %xmm0
	leaq	.LC4(%rip), %rax
	movq	%rax, %rdi
	movl	$1, %eax
	call	printf@PLT
	movl	$0, %eax
	movq	-8(%rbp), %rdx
	subq	%fs:40, %rdx
	je	.L13
	call	__stack_chk_fail@PLT
.L13:
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE7:
	.size	main, .-main
	.section	.rodata
	.align 8
.LC3:
	.long	0
	.long	1073741824
	.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	ft_iterative_factorial
	.type	ft_iterative_factorial, @function
ft_iterative_factorial:
.LFB39:
	.cfi_startproc
	endbr64
	movl	%edi, %edx
	movl	%edi, %eax
	subl	$1, %edx
	je	.L4
	.p2align 4,,10
	.p2align 3
.L3:
	imull	%edx, %eax
	subl	$1, %edx
	jne	.L3
	ret
	.p2align 4,,10
	.p2align 3
.L4:
	movl	$1, %eax
	ret
	.cfi_endproc
.LFE39:
	.size	ft_iterative_factorial, .-ft_iterative_factorial
	.section	.rodata.str1.1,"aMS",@progbits,1
.LC1:
	.string	"%d\n"
.LC2:
	.string	"%d %d\n"
.LC4:
	.string	"%.10f\n"
	.section	.text.startup,"ax",@progbits
	.p2align 4
	.globl	main
	.type	main, @function
main:
.LFB40:
	.cfi_startproc
	endbr64
	pushq	%r15
	.cfi_def_cfa_offset 16
	.cfi_offset 15, -16
	leaq	.LC1(%rip), %rdi
	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	36(%rsp), %rsi
	call	__isoc99_scanf@PLT
	movl	36(%rsp), %ecx
	leal	1(%rcx), %edi
	movl	%ecx, 24(%rsp)
	movslq	%edi, %rdi
	salq	$3, %rdi
	call	malloc@PLT
	movl	24(%rsp), %ecx
	testl	%ecx, %ecx
	jle	.L18
	movq	%rax, %r13
	movq	%rax, %rbx
	leaq	.LC2(%rip), %r12
	xorl	%ebp, %ebp
	.p2align 4,,10
	.p2align 3
.L9:
	leaq	4(%rbx), %rdx
	movq	%rbx, %rsi
	movq	%r12, %rdi
	xorl	%eax, %eax
	call	__isoc99_scanf@PLT
	movl	36(%rsp), %ecx
	addl	$1, %ebp
	addq	$8, %rbx
	cmpl	%ebp, %ecx
	jg	.L9
	cmpl	$1, %ecx
	jle	.L18
	leal	-2(%rcx), %esi
	pxor	%xmm3, %xmm3
	movq	%r13, %rdx
	movl	$1, %r15d
	addq	$2, %rsi
	movapd	%xmm3, %xmm2
	leal	-1(%rcx), %edi
	.p2align 4,,10
	.p2align 3
.L15:
	cmpl	%r15d, %ecx
	jle	.L10
	movl	%edi, %eax
	movl	(%rdx), %r14d
	movl	4(%rdx), %r12d
	movq	%rdx, %rbx
	subl	%r15d, %eax
	leaq	-1(%r15,%rax), %rax
	leaq	8(%r13,%rax,8), %rbp
	.p2align 4,,10
	.p2align 3
.L14:
	movl	%r14d, %eax
	pxor	%xmm0, %xmm0
	pxor	%xmm1, %xmm1
	subl	8(%rbx), %eax
	cvtsi2sdl	%eax, %xmm0
	movl	%r12d, %eax
	subl	12(%rbx), %eax
	cvtsi2sdl	%eax, %xmm1
	mulsd	%xmm0, %xmm0
	mulsd	%xmm1, %xmm1
	addsd	%xmm1, %xmm0
	ucomisd	%xmm0, %xmm3
	ja	.L22
	sqrtsd	%xmm0, %xmm0
	addq	$8, %rbx
	addsd	%xmm0, %xmm2
	cmpq	%rbx, %rbp
	jne	.L14
.L10:
	addq	$1, %r15
	addq	$8, %rdx
	cmpq	%r15, %rsi
	jne	.L15
.L8:
	pxor	%xmm1, %xmm1
	movl	$1, %edi
	movl	$1, %eax
	movsd	.LC3(%rip), %xmm0
	cvtsi2sdl	%ecx, %xmm1
	leaq	.LC4(%rip), %rsi
	divsd	%xmm1, %xmm0
	mulsd	%xmm2, %xmm0
	call	__printf_chk@PLT
	movq	40(%rsp), %rax
	subq	%fs:40, %rax
	jne	.L24
	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
.L18:
	.cfi_restore_state
	pxor	%xmm2, %xmm2
	jmp	.L8
.L22:
	movl	%edi, 28(%rsp)
	addq	$8, %rbx
	movq	%rdx, 16(%rsp)
	movq	%rsi, 8(%rsp)
	movl	%ecx, 24(%rsp)
	movsd	%xmm2, (%rsp)
	call	sqrt@PLT
	cmpq	%rbp, %rbx
	movl	24(%rsp), %ecx
	movl	28(%rsp), %edi
	movsd	(%rsp), %xmm2
	movq	8(%rsp), %rsi
	pxor	%xmm3, %xmm3
	movq	16(%rsp), %rdx
	addsd	%xmm0, %xmm2
	jne	.L14
	jmp	.L10
.L24:
	call	__stack_chk_fail@PLT
	.cfi_endproc
.LFE40:
	.size	main, .-main
	.section	.rodata.cst8,"aM",@progbits,8
	.align 8
.LC3:
	.long	0
	.long	1073741824
	.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	ft_iterative_factorial
	.type	ft_iterative_factorial, @function
ft_iterative_factorial:
.LFB39:
	.cfi_startproc
	endbr64
	movl	%edi, %edx
	movl	%edi, %eax
	subl	$1, %edx
	je	.L4
	.p2align 4,,10
	.p2align 3
.L3:
	imull	%edx, %eax
	subl	$1, %edx
	jne	.L3
	ret
	.p2align 4,,10
	.p2align 3
.L4:
	movl	$1, %eax
	ret
	.cfi_endproc
.LFE39:
	.size	ft_iterative_factorial, .-ft_iterative_factorial
	.section	.rodata.str1.1,"aMS",@progbits,1
.LC1:
	.string	"%d\n"
.LC2:
	.string	"%d %d\n"
.LC4:
	.string	"%.10f\n"
	.section	.text.startup,"ax",@progbits
	.p2align 4
	.globl	main
	.type	main, @function
main:
.LFB40:
	.cfi_startproc
	endbr64
	pushq	%r15
	.cfi_def_cfa_offset 16
	.cfi_offset 15, -16
	leaq	.LC1(%rip), %rdi
	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	36(%rsp), %rsi
	call	__isoc99_scanf@PLT
	movl	36(%rsp), %ecx
	leal	1(%rcx), %edi
	movl	%ecx, 24(%rsp)
	movslq	%edi, %rdi
	salq	$3, %rdi
	call	malloc@PLT
	movl	24(%rsp), %ecx
	testl	%ecx, %ecx
	jle	.L18
	movq	%rax, %r13
	movq	%rax, %rbx
	leaq	.LC2(%rip), %r12
	xorl	%ebp, %ebp
	.p2align 4,,10
	.p2align 3
.L9:
	leaq	4(%rbx), %rdx
	movq	%rbx, %rsi
	movq	%r12, %rdi
	xorl	%eax, %eax
	call	__isoc99_scanf@PLT
	movl	36(%rsp), %ecx
	addl	$1, %ebp
	addq	$8, %rbx
	cmpl	%ebp, %ecx
	jg	.L9
	cmpl	$1, %ecx
	jle	.L18
	leal	-2(%rcx), %esi
	pxor	%xmm3, %xmm3
	movq	%r13, %rdx
	movl	$1, %r15d
	addq	$2, %rsi
	movapd	%xmm3, %xmm2
	leal	-1(%rcx), %edi
	.p2align 4,,10
	.p2align 3
.L15:
	cmpl	%r15d, %ecx
	jle	.L10
	movl	%edi, %eax
	movl	(%rdx), %r14d
	movl	4(%rdx), %r12d
	movq	%rdx, %rbx
	subl	%r15d, %eax
	leaq	-1(%r15,%rax), %rax
	leaq	8(%r13,%rax,8), %rbp
	.p2align 4,,10
	.p2align 3
.L14:
	movl	%r14d, %eax
	pxor	%xmm0, %xmm0
	pxor	%xmm1, %xmm1
	subl	8(%rbx), %eax
	cvtsi2sdl	%eax, %xmm0
	movl	%r12d, %eax
	subl	12(%rbx), %eax
	cvtsi2sdl	%eax, %xmm1
	mulsd	%xmm0, %xmm0
	mulsd	%xmm1, %xmm1
	addsd	%xmm1, %xmm0
	ucomisd	%xmm0, %xmm3
	ja	.L22
	sqrtsd	%xmm0, %xmm0
	addq	$8, %rbx
	addsd	%xmm0, %xmm2
	cmpq	%rbx, %rbp
	jne	.L14
.L10:
	addq	$1, %r15
	addq	$8, %rdx
	cmpq	%r15, %rsi
	jne	.L15
.L8:
	pxor	%xmm1, %xmm1
	movl	$1, %edi
	movl	$1, %eax
	movsd	.LC3(%rip), %xmm0
	cvtsi2sdl	%ecx, %xmm1
	leaq	.LC4(%rip), %rsi
	divsd	%xmm1, %xmm0
	mulsd	%xmm2, %xmm0
	call	__printf_chk@PLT
	movq	40(%rsp), %rax
	subq	%fs:40, %rax
	jne	.L24
	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
.L18:
	.cfi_restore_state
	pxor	%xmm2, %xmm2
	jmp	.L8
.L22:
	movl	%edi, 28(%rsp)
	addq	$8, %rbx
	movq	%rdx, 16(%rsp)
	movq	%rsi, 8(%rsp)
	movl	%ecx, 24(%rsp)
	movsd	%xmm2, (%rsp)
	call	sqrt@PLT
	cmpq	%rbp, %rbx
	movl	24(%rsp), %ecx
	movl	28(%rsp), %edi
	movsd	(%rsp), %xmm2
	movq	8(%rsp), %rsi
	pxor	%xmm3, %xmm3
	movq	16(%rsp), %rdx
	addsd	%xmm0, %xmm2
	jne	.L14
	jmp	.L10
.L24:
	call	__stack_chk_fail@PLT
	.cfi_endproc
.LFE40:
	.size	main, .-main
	.section	.rodata.cst8,"aM",@progbits,8
	.align 8
.LC3:
	.long	0
	.long	1073741824
	.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 <math.h>

typedef struct t_xy{
	int				x;
	int				y;
	// struct t_xy	*next;
}					s_xy;

int	ft_iterative_factorial(int nb)
{
	int	n;

	n = nb - 1;
	while (n)
	{
		nb *= n;
		n--;
	}
	return (nb);
}

int		main()
{
	s_xy	*p, *before;
	int		N, n, x, y, i, k;
	double	sum, ans;

	ans = 0;
	scanf("%d\n", &N);
	// n = ft_iterative_factorial(N - 2);
	// n = ft_iterative_factorial(N - 1) * ft_iterative_factorial(N - 2);
	// N! * (N - 1) / ((N * (N - 1)) / (N - 1)!)
	p = (s_xy *)malloc(sizeof(s_xy) * (N + 1));
	i = 0;
	while (i < N)
	{
		scanf("%d %d\n", &p[i].x, &p[i].y);
		i++;
	}
	i = 0;
	while (i < (N - 1))
	{
		k = i + 1;
		while (k < N)
		{
			sum = 0;
			sum = pow((p[i].x - p[k].x), 2.0);
			sum += pow((p[i].y - p[k].y), 2.0);
			ans += sqrt(sum);
			k++;
			// printf("%d: sum = %f\n", i, sum);
		}
		i++;
	}
	// printf("%f\n", ans);

	// ans *= (double)n;
	// ans /= (double)ft_iterative_factorial(N);
	ans *= 2.0 / (double)N;
	printf("%.10f\n", ans);

	return (0);
}

3
0 0
1 0
0 1

2.2761423749

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 <math.h>

typedef struct t_xy{
	int				x;
	int				y;
	// struct t_xy	*next;
}					s_xy;

int	ft_iterative_factorial(int nb)
{
	int	n;

	n = nb - 1;
	while (n)
	{
		nb *= n;
		n--;
	}
	return (nb);
}

int		main()
{
	s_xy	*p, *before;
	int		N, n, x, y, i, k;
	double	sum, ans;

	ans = 0;
	scanf("%d\n", &N);
	// n = ft_iterative_factorial(N - 2);
	// n = ft_iterative_factorial(N - 1) * ft_iterative_factorial(N - 2);
	// N! * (N - 1) / ((N * (N - 1)) / (N - 1)!)
	p = (s_xy *)malloc(sizeof(s_xy) * (N + 1));
	i = 0;
	while (i < N)
	{
		scanf("%d %d\n", &p[i].x, &p[i].y);
		i++;
	}
	i = 0;
	while (i < (N - 1))
	{
		k = i + 1;
		while (k < N)
		{
			sum = 0;
			sum = pow((p[i].x - p[k].x), 2.0);
			sum += pow((p[i].y - p[k].y), 2.0);
			ans += sqrt(sum);
			k++;
			// printf("%d: sum = %f\n", i, sum);
		}
		i++;
	}
	// printf("%f\n", ans);

	// ans *= (double)n;
	// ans /= (double)ft_iterative_factorial(N);
	ans *= 2.0 / (double)N;
	printf("%.10f\n", ans);

	return (0);
}
```

Unoptimized Assembly Code:

```assembly
	.file	"temp.c"
	.text
	.globl	ft_iterative_factorial
	.type	ft_iterative_factorial, @function
ft_iterative_factorial:
.LFB6:
	.cfi_startproc
	endbr64
	pushq	%rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	movq	%rsp, %rbp
	.cfi_def_cfa_register 6
	movl	%edi, -20(%rbp)
	movl	-20(%rbp), %eax
	subl	$1, %eax
	movl	%eax, -4(%rbp)
	jmp	.L2
.L3:
	movl	-20(%rbp), %eax
	imull	-4(%rbp), %eax
	movl	%eax, -20(%rbp)
	subl	$1, -4(%rbp)
.L2:
	cmpl	$0, -4(%rbp)
	jne	.L3
	movl	-20(%rbp), %eax
	popq	%rbp
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE6:
	.size	ft_iterative_factorial, .-ft_iterative_factorial
	.section	.rodata
.LC1:
	.string	"%d\n"
.LC2:
	.string	"%d %d\n"
.LC4:
	.string	"%.10f\n"
	.text
	.globl	main
	.type	main, @function
main:
.LFB7:
	.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
	pxor	%xmm0, %xmm0
	movsd	%xmm0, -32(%rbp)
	leaq	-44(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC1(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movl	-44(%rbp), %eax
	addl	$1, %eax
	cltq
	salq	$3, %rax
	movq	%rax, %rdi
	call	malloc@PLT
	movq	%rax, -24(%rbp)
	movl	$0, -40(%rbp)
	jmp	.L6
.L7:
	movl	-40(%rbp), %eax
	cltq
	leaq	0(,%rax,8), %rdx
	movq	-24(%rbp), %rax
	addq	%rdx, %rax
	addq	$4, %rax
	movl	-40(%rbp), %edx
	movslq	%edx, %rdx
	leaq	0(,%rdx,8), %rcx
	movq	-24(%rbp), %rdx
	addq	%rcx, %rdx
	movq	%rdx, %rcx
	movq	%rax, %rdx
	movq	%rcx, %rsi
	leaq	.LC2(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	addl	$1, -40(%rbp)
.L6:
	movl	-44(%rbp), %eax
	cmpl	%eax, -40(%rbp)
	jl	.L7
	movl	$0, -40(%rbp)
	jmp	.L8
.L11:
	movl	-40(%rbp), %eax
	addl	$1, %eax
	movl	%eax, -36(%rbp)
	jmp	.L9
.L10:
	pxor	%xmm0, %xmm0
	movsd	%xmm0, -16(%rbp)
	movl	-40(%rbp), %eax
	cltq
	leaq	0(,%rax,8), %rdx
	movq	-24(%rbp), %rax
	addq	%rdx, %rax
	movl	(%rax), %eax
	movl	-36(%rbp), %edx
	movslq	%edx, %rdx
	leaq	0(,%rdx,8), %rcx
	movq	-24(%rbp), %rdx
	addq	%rcx, %rdx
	movl	(%rdx), %edx
	subl	%edx, %eax
	pxor	%xmm2, %xmm2
	cvtsi2sdl	%eax, %xmm2
	movq	%xmm2, %rax
	movsd	.LC3(%rip), %xmm0
	movapd	%xmm0, %xmm1
	movq	%rax, %xmm0
	call	pow@PLT
	movq	%xmm0, %rax
	movq	%rax, -16(%rbp)
	movl	-40(%rbp), %eax
	cltq
	leaq	0(,%rax,8), %rdx
	movq	-24(%rbp), %rax
	addq	%rdx, %rax
	movl	4(%rax), %eax
	movl	-36(%rbp), %edx
	movslq	%edx, %rdx
	leaq	0(,%rdx,8), %rcx
	movq	-24(%rbp), %rdx
	addq	%rcx, %rdx
	movl	4(%rdx), %edx
	subl	%edx, %eax
	pxor	%xmm3, %xmm3
	cvtsi2sdl	%eax, %xmm3
	movq	%xmm3, %rax
	movsd	.LC3(%rip), %xmm0
	movapd	%xmm0, %xmm1
	movq	%rax, %xmm0
	call	pow@PLT
	movsd	-16(%rbp), %xmm1
	addsd	%xmm1, %xmm0
	movsd	%xmm0, -16(%rbp)
	movq	-16(%rbp), %rax
	movq	%rax, %xmm0
	call	sqrt@PLT
	movsd	-32(%rbp), %xmm1
	addsd	%xmm1, %xmm0
	movsd	%xmm0, -32(%rbp)
	addl	$1, -36(%rbp)
.L9:
	movl	-44(%rbp), %eax
	cmpl	%eax, -36(%rbp)
	jl	.L10
	addl	$1, -40(%rbp)
.L8:
	movl	-44(%rbp), %eax
	subl	$1, %eax
	cmpl	%eax, -40(%rbp)
	jl	.L11
	movl	-44(%rbp), %eax
	pxor	%xmm1, %xmm1
	cvtsi2sdl	%eax, %xmm1
	movsd	.LC3(%rip), %xmm0
	divsd	%xmm1, %xmm0
	movsd	-32(%rbp), %xmm1
	mulsd	%xmm1, %xmm0
	movsd	%xmm0, -32(%rbp)
	movq	-32(%rbp), %rax
	movq	%rax, %xmm0
	leaq	.LC4(%rip), %rax
	movq	%rax, %rdi
	movl	$1, %eax
	call	printf@PLT
	movl	$0, %eax
	movq	-8(%rbp), %rdx
	subq	%fs:40, %rdx
	je	.L13
	call	__stack_chk_fail@PLT
.L13:
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE7:
	.size	main, .-main
	.section	.rodata
	.align 8
.LC3:
	.long	0
	.long	1073741824
	.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	ft_iterative_factorial
	.type	ft_iterative_factorial, @function
ft_iterative_factorial:
.LFB6:
	.cfi_startproc
	endbr64
	pushq	%rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	movq	%rsp, %rbp
	.cfi_def_cfa_register 6
	movl	%edi, -20(%rbp)
	movl	-20(%rbp), %eax
	subl	$1, %eax
	movl	%eax, -4(%rbp)
	jmp	.L2
.L3:
	movl	-20(%rbp), %eax
	imull	-4(%rbp), %eax
	movl	%eax, -20(%rbp)
	subl	$1, -4(%rbp)
.L2:
	cmpl	$0, -4(%rbp)
	jne	.L3
	movl	-20(%rbp), %eax
	popq	%rbp
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE6:
	.size	ft_iterative_factorial, .-ft_iterative_factorial
	.section	.rodata
.LC1:
	.string	"%d\n"
.LC2:
	.string	"%d %d\n"
.LC4:
	.string	"%.10f\n"
	.text
	.globl	main
	.type	main, @function
main:
.LFB7:
	.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
	pxor	%xmm0, %xmm0
	movsd	%xmm0, -32(%rbp)
	leaq	-44(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC1(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movl	-44(%rbp), %eax
	addl	$1, %eax
	cltq
	salq	$3, %rax
	movq	%rax, %rdi
	call	malloc@PLT
	movq	%rax, -24(%rbp)
	movl	$0, -40(%rbp)
	jmp	.L6
.L7:
	movl	-40(%rbp), %eax
	cltq
	leaq	0(,%rax,8), %rdx
	movq	-24(%rbp), %rax
	addq	%rdx, %rax
	addq	$4, %rax
	movl	-40(%rbp), %edx
	movslq	%edx, %rdx
	leaq	0(,%rdx,8), %rcx
	movq	-24(%rbp), %rdx
	addq	%rcx, %rdx
	movq	%rdx, %rcx
	movq	%rax, %rdx
	movq	%rcx, %rsi
	leaq	.LC2(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	addl	$1, -40(%rbp)
.L6:
	movl	-44(%rbp), %eax
	cmpl	%eax, -40(%rbp)
	jl	.L7
	movl	$0, -40(%rbp)
	jmp	.L8
.L11:
	movl	-40(%rbp), %eax
	addl	$1, %eax
	movl	%eax, -36(%rbp)
	jmp	.L9
.L10:
	pxor	%xmm0, %xmm0
	movsd	%xmm0, -16(%rbp)
	movl	-40(%rbp), %eax
	cltq
	leaq	0(,%rax,8), %rdx
	movq	-24(%rbp), %rax
	addq	%rdx, %rax
	movl	(%rax), %eax
	movl	-36(%rbp), %edx
	movslq	%edx, %rdx
	leaq	0(,%rdx,8), %rcx
	movq	-24(%rbp), %rdx
	addq	%rcx, %rdx
	movl	(%rdx), %edx
	subl	%edx, %eax
	pxor	%xmm2, %xmm2
	cvtsi2sdl	%eax, %xmm2
	movq	%xmm2, %rax
	movsd	.LC3(%rip), %xmm0
	movapd	%xmm0, %xmm1
	movq	%rax, %xmm0
	call	pow@PLT
	movq	%xmm0, %rax
	movq	%rax, -16(%rbp)
	movl	-40(%rbp), %eax
	cltq
	leaq	0(,%rax,8), %rdx
	movq	-24(%rbp), %rax
	addq	%rdx, %rax
	movl	4(%rax), %eax
	movl	-36(%rbp), %edx
	movslq	%edx, %rdx
	leaq	0(,%rdx,8), %rcx
	movq	-24(%rbp), %rdx
	addq	%rcx, %rdx
	movl	4(%rdx), %edx
	subl	%edx, %eax
	pxor	%xmm3, %xmm3
	cvtsi2sdl	%eax, %xmm3
	movq	%xmm3, %rax
	movsd	.LC3(%rip), %xmm0
	movapd	%xmm0, %xmm1
	movq	%rax, %xmm0
	call	pow@PLT
	movsd	-16(%rbp), %xmm1
	addsd	%xmm1, %xmm0
	movsd	%xmm0, -16(%rbp)
	movq	-16(%rbp), %rax
	movq	%rax, %xmm0
	call	sqrt@PLT
	movsd	-32(%rbp), %xmm1
	addsd	%xmm1, %xmm0
	movsd	%xmm0, -32(%rbp)
	addl	$1, -36(%rbp)
.L9:
	movl	-44(%rbp), %eax
	cmpl	%eax, -36(%rbp)
	jl	.L10
	addl	$1, -40(%rbp)
.L8:
	movl	-44(%rbp), %eax
	subl	$1, %eax
	cmpl	%eax, -40(%rbp)
	jl	.L11
	movl	-44(%rbp), %eax
	pxor	%xmm1, %xmm1
	cvtsi2sdl	%eax, %xmm1
	movsd	.LC3(%rip), %xmm0
	divsd	%xmm1, %xmm0
	movsd	-32(%rbp), %xmm1
	mulsd	%xmm1, %xmm0
	movsd	%xmm0, -32(%rbp)
	movq	-32(%rbp), %rax
	movq	%rax, %xmm0
	leaq	.LC4(%rip), %rax
	movq	%rax, %rdi
	movl	$1, %eax
	call	printf@PLT
	movl	$0, %eax
	movq	-8(%rbp), %rdx
	subq	%fs:40, %rdx
	je	.L13
	call	__stack_chk_fail@PLT
.L13:
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE7:
	.size	main, .-main
	.section	.rodata
	.align 8
.LC3:
	.long	0
	.long	1073741824
	.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:
