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>
#define int long long

signed main(){
	int N, M, d;
	scanf("%lld%lld%lld", &N, &M, &d);
	printf("%.12lf\n", (M - 1) * (d == 0 ? 1 : 2) * (N - d) / (double)(N * N));
	return 0;
}```

Unoptimized Assembly Code:

```assembly
	.file	"temp.c"
	.text
	.section	.rodata
.LC0:
	.string	"%lld%lld%lld"
.LC1:
	.string	"%.12lf\n"
	.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
	subq	$32, %rsp
	movq	%fs:40, %rax
	movq	%rax, -8(%rbp)
	xorl	%eax, %eax
	leaq	-16(%rbp), %rcx
	leaq	-24(%rbp), %rdx
	leaq	-32(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movq	-24(%rbp), %rax
	leaq	-1(%rax), %rdx
	movq	-16(%rbp), %rax
	testq	%rax, %rax
	jne	.L2
	movl	$1, %eax
	jmp	.L3
.L2:
	movl	$2, %eax
.L3:
	imulq	%rdx, %rax
	movq	-32(%rbp), %rdx
	movq	-16(%rbp), %rcx
	subq	%rcx, %rdx
	imulq	%rdx, %rax
	pxor	%xmm0, %xmm0
	cvtsi2sdq	%rax, %xmm0
	movq	-32(%rbp), %rdx
	movq	-32(%rbp), %rax
	imulq	%rdx, %rax
	pxor	%xmm1, %xmm1
	cvtsi2sdq	%rax, %xmm1
	divsd	%xmm1, %xmm0
	movq	%xmm0, %rax
	movq	%rax, %xmm0
	leaq	.LC1(%rip), %rax
	movq	%rax, %rdi
	movl	$1, %eax
	call	printf@PLT
	movl	$0, %eax
	movq	-8(%rbp), %rdx
	subq	%fs:40, %rdx
	je	.L5
	call	__stack_chk_fail@PLT
.L5:
	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	"%lld%lld%lld"
.LC1:
	.string	"%.12lf\n"
	.section	.text.startup,"ax",@progbits
	.p2align 4
	.globl	main
	.type	main, @function
main:
.LFB39:
	.cfi_startproc
	endbr64
	subq	$40, %rsp
	.cfi_def_cfa_offset 48
	leaq	.LC0(%rip), %rdi
	movq	%fs:40, %rax
	movq	%rax, 24(%rsp)
	xorl	%eax, %eax
	leaq	16(%rsp), %rcx
	leaq	8(%rsp), %rdx
	movq	%rsp, %rsi
	call	__isoc99_scanf@PLT
	movq	16(%rsp), %rsi
	movq	8(%rsp), %rax
	movl	$1, %ecx
	movq	(%rsp), %rdx
	pxor	%xmm0, %xmm0
	pxor	%xmm1, %xmm1
	movl	$1, %edi
	subq	$1, %rax
	cmpq	$1, %rsi
	sbbq	$-1, %rcx
	imulq	%rcx, %rax
	movq	%rdx, %rcx
	subq	%rsi, %rcx
	imulq	%rdx, %rdx
	leaq	.LC1(%rip), %rsi
	imulq	%rcx, %rax
	cvtsi2sdq	%rdx, %xmm1
	cvtsi2sdq	%rax, %xmm0
	movl	$1, %eax
	divsd	%xmm1, %xmm0
	call	__printf_chk@PLT
	movq	24(%rsp), %rax
	subq	%fs:40, %rax
	jne	.L7
	xorl	%eax, %eax
	addq	$40, %rsp
	.cfi_remember_state
	.cfi_def_cfa_offset 8
	ret
.L7:
	.cfi_restore_state
	call	__stack_chk_fail@PLT
	.cfi_endproc
.LFE39:
	.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	"%lld%lld%lld"
.LC1:
	.string	"%.12lf\n"
	.section	.text.startup,"ax",@progbits
	.p2align 4
	.globl	main
	.type	main, @function
main:
.LFB39:
	.cfi_startproc
	endbr64
	subq	$40, %rsp
	.cfi_def_cfa_offset 48
	leaq	.LC0(%rip), %rdi
	movq	%fs:40, %rax
	movq	%rax, 24(%rsp)
	xorl	%eax, %eax
	leaq	16(%rsp), %rcx
	leaq	8(%rsp), %rdx
	movq	%rsp, %rsi
	call	__isoc99_scanf@PLT
	movq	16(%rsp), %rsi
	movq	8(%rsp), %rax
	movl	$1, %ecx
	movq	(%rsp), %rdx
	pxor	%xmm0, %xmm0
	pxor	%xmm1, %xmm1
	movl	$1, %edi
	subq	$1, %rax
	cmpq	$1, %rsi
	sbbq	$-1, %rcx
	imulq	%rcx, %rax
	movq	%rdx, %rcx
	subq	%rsi, %rcx
	imulq	%rdx, %rdx
	leaq	.LC1(%rip), %rsi
	imulq	%rcx, %rax
	cvtsi2sdq	%rdx, %xmm1
	cvtsi2sdq	%rax, %xmm0
	movl	$1, %eax
	divsd	%xmm1, %xmm0
	call	__printf_chk@PLT
	movq	24(%rsp), %rax
	subq	%fs:40, %rax
	jne	.L7
	xorl	%eax, %eax
	addq	$40, %rsp
	.cfi_remember_state
	.cfi_def_cfa_offset 8
	ret
.L7:
	.cfi_restore_state
	call	__stack_chk_fail@PLT
	.cfi_endproc
.LFE39:
	.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>
#define int long long

signed main(){
	int N, M, d;
	scanf("%lld%lld%lld", &N, &M, &d);
	printf("%.12lf\n", (M - 1) * (d == 0 ? 1 : 2) * (N - d) / (double)(N * N));
	return 0;
}
1000000000 180707 1
 1000000000 241440 1
 1001000000 241440 5
 1001000000 353960 8
 0001000000 353960 8
 0001000000 353960 15
 1001100000 353960 15
 1001100100 149885 23
 1001101100 149885 23
 1011101100 149885 23

0.000361412000
 0.000482878000
 0.000482395602
 0.000707210784
 0.707912336656
 0.707907381230
 0.000707140135
 0.000299438581
 0.000299438282
 0.000296476775

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>
#define int long long

signed main(){
	int N, M, d;
	scanf("%lld%lld%lld", &N, &M, &d);
	printf("%.12lf\n", (M - 1) * (d == 0 ? 1 : 2) * (N - d) / (double)(N * N));
	return 0;
}```

Unoptimized Assembly Code:

```assembly
	.file	"temp.c"
	.text
	.section	.rodata
.LC0:
	.string	"%lld%lld%lld"
.LC1:
	.string	"%.12lf\n"
	.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
	subq	$32, %rsp
	movq	%fs:40, %rax
	movq	%rax, -8(%rbp)
	xorl	%eax, %eax
	leaq	-16(%rbp), %rcx
	leaq	-24(%rbp), %rdx
	leaq	-32(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movq	-24(%rbp), %rax
	leaq	-1(%rax), %rdx
	movq	-16(%rbp), %rax
	testq	%rax, %rax
	jne	.L2
	movl	$1, %eax
	jmp	.L3
.L2:
	movl	$2, %eax
.L3:
	imulq	%rdx, %rax
	movq	-32(%rbp), %rdx
	movq	-16(%rbp), %rcx
	subq	%rcx, %rdx
	imulq	%rdx, %rax
	pxor	%xmm0, %xmm0
	cvtsi2sdq	%rax, %xmm0
	movq	-32(%rbp), %rdx
	movq	-32(%rbp), %rax
	imulq	%rdx, %rax
	pxor	%xmm1, %xmm1
	cvtsi2sdq	%rax, %xmm1
	divsd	%xmm1, %xmm0
	movq	%xmm0, %rax
	movq	%rax, %xmm0
	leaq	.LC1(%rip), %rax
	movq	%rax, %rdi
	movl	$1, %eax
	call	printf@PLT
	movl	$0, %eax
	movq	-8(%rbp), %rdx
	subq	%fs:40, %rdx
	je	.L5
	call	__stack_chk_fail@PLT
.L5:
	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	"%lld%lld%lld"
.LC1:
	.string	"%.12lf\n"
	.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
	subq	$32, %rsp
	movq	%fs:40, %rax
	movq	%rax, -8(%rbp)
	xorl	%eax, %eax
	leaq	-16(%rbp), %rcx
	leaq	-24(%rbp), %rdx
	leaq	-32(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movq	-24(%rbp), %rax
	leaq	-1(%rax), %rdx
	movq	-16(%rbp), %rax
	testq	%rax, %rax
	jne	.L2
	movl	$1, %eax
	jmp	.L3
.L2:
	movl	$2, %eax
.L3:
	imulq	%rdx, %rax
	movq	-32(%rbp), %rdx
	movq	-16(%rbp), %rcx
	subq	%rcx, %rdx
	imulq	%rdx, %rax
	pxor	%xmm0, %xmm0
	cvtsi2sdq	%rax, %xmm0
	movq	-32(%rbp), %rdx
	movq	-32(%rbp), %rax
	imulq	%rdx, %rax
	pxor	%xmm1, %xmm1
	cvtsi2sdq	%rax, %xmm1
	divsd	%xmm1, %xmm0
	movq	%xmm0, %rax
	movq	%rax, %xmm0
	leaq	.LC1(%rip), %rax
	movq	%rax, %rdi
	movl	$1, %eax
	call	printf@PLT
	movl	$0, %eax
	movq	-8(%rbp), %rdx
	subq	%fs:40, %rdx
	je	.L5
	call	__stack_chk_fail@PLT
.L5:
	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:
