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

```c
long s=1,m=1e9+7;
c[1<<17];
main(A){
	scanf("%*d");
	for(c[0]=3;~scanf("%d",&A);)
	{
		s=s*c[A]--%m;
		c[A+1]++;
	}
	printf("%ld\n",s);
}```

Unoptimized Assembly Code:

```assembly
	.file	"temp.c"
	.text
	.globl	s
	.data
	.align 8
	.type	s, @object
	.size	s, 8
s:
	.quad	1
	.globl	m
	.align 8
	.type	m, @object
	.size	m, 8
m:
	.quad	1000000007
	.globl	c
	.bss
	.align 32
	.type	c, @object
	.size	c, 524288
c:
	.zero	524288
	.section	.rodata
.LC0:
	.string	"%*d"
.LC1:
	.string	"%d"
.LC2:
	.string	"%ld\n"
	.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
	subq	$16, %rsp
	movl	%edi, -4(%rbp)
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	scanf@PLT
	movl	$3, c(%rip)
	jmp	.L2
.L3:
	movl	-4(%rbp), %edx
	movslq	%edx, %rax
	leaq	0(,%rax,4), %rcx
	leaq	c(%rip), %rax
	movl	(%rcx,%rax), %eax
	leal	-1(%rax), %ecx
	movslq	%edx, %rdx
	leaq	0(,%rdx,4), %rsi
	leaq	c(%rip), %rdx
	movl	%ecx, (%rsi,%rdx)
	movslq	%eax, %rdx
	movq	s(%rip), %rax
	imulq	%rdx, %rax
	movq	m(%rip), %rcx
	cqto
	idivq	%rcx
	movq	%rdx, %rax
	movq	%rax, s(%rip)
	movl	-4(%rbp), %eax
	addl	$1, %eax
	movslq	%eax, %rdx
	leaq	0(,%rdx,4), %rcx
	leaq	c(%rip), %rdx
	movl	(%rcx,%rdx), %edx
	leal	1(%rdx), %ecx
	cltq
	leaq	0(,%rax,4), %rdx
	leaq	c(%rip), %rax
	movl	%ecx, (%rdx,%rax)
.L2:
	leaq	-4(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC1(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	scanf@PLT
	cmpl	$-1, %eax
	jne	.L3
	movq	s(%rip), %rax
	movq	%rax, %rsi
	leaq	.LC2(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	printf@PLT
	movl	$0, %eax
	leave
	.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"
.LC1:
	.string	"%d"
.LC2:
	.string	"%ld\n"
	.section	.text.startup,"ax",@progbits
	.p2align 4
	.globl	main
	.type	main, @function
main:
.LFB0:
	.cfi_startproc
	endbr64
	pushq	%r12
	.cfi_def_cfa_offset 16
	.cfi_offset 12, -16
	xorl	%eax, %eax
	leaq	c(%rip), %r12
	pushq	%rbp
	.cfi_def_cfa_offset 24
	.cfi_offset 6, -24
	pushq	%rbx
	.cfi_def_cfa_offset 32
	.cfi_offset 3, -32
	leaq	.LC1(%rip), %rbx
	subq	$16, %rsp
	.cfi_def_cfa_offset 48
	movl	%edi, 12(%rsp)
	leaq	.LC0(%rip), %rdi
	leaq	12(%rsp), %rbp
	call	scanf@PLT
	movl	$3, c(%rip)
	jmp	.L2
	.p2align 4,,10
	.p2align 3
.L3:
	movslq	12(%rsp), %rdx
	movslq	(%r12,%rdx,4), %rax
	movq	%rdx, %rcx
	addl	$1, %ecx
	leal	-1(%rax), %esi
	movslq	%ecx, %rcx
	imulq	s(%rip), %rax
	movl	%esi, (%r12,%rdx,4)
	addl	$1, (%r12,%rcx,4)
	cqto
	idivq	m(%rip)
	movq	%rdx, s(%rip)
.L2:
	xorl	%eax, %eax
	movq	%rbp, %rsi
	movq	%rbx, %rdi
	call	scanf@PLT
	cmpl	$-1, %eax
	jne	.L3
	movq	s(%rip), %rsi
	leaq	.LC2(%rip), %rdi
	xorl	%eax, %eax
	call	printf@PLT
	addq	$16, %rsp
	.cfi_def_cfa_offset 32
	xorl	%eax, %eax
	popq	%rbx
	.cfi_def_cfa_offset 24
	popq	%rbp
	.cfi_def_cfa_offset 16
	popq	%r12
	.cfi_def_cfa_offset 8
	ret
	.cfi_endproc
.LFE0:
	.size	main, .-main
	.globl	c
	.bss
	.align 32
	.type	c, @object
	.size	c, 524288
c:
	.zero	524288
	.globl	m
	.data
	.align 8
	.type	m, @object
	.size	m, 8
m:
	.quad	1000000007
	.globl	s
	.align 8
	.type	s, @object
	.size	s, 8
s:
	.quad	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"
.LC1:
	.string	"%d"
.LC2:
	.string	"%ld\n"
	.section	.text.startup,"ax",@progbits
	.p2align 4
	.globl	main
	.type	main, @function
main:
.LFB0:
	.cfi_startproc
	endbr64
	pushq	%r12
	.cfi_def_cfa_offset 16
	.cfi_offset 12, -16
	xorl	%eax, %eax
	leaq	c(%rip), %r12
	pushq	%rbp
	.cfi_def_cfa_offset 24
	.cfi_offset 6, -24
	pushq	%rbx
	.cfi_def_cfa_offset 32
	.cfi_offset 3, -32
	leaq	.LC1(%rip), %rbx
	subq	$16, %rsp
	.cfi_def_cfa_offset 48
	movl	%edi, 12(%rsp)
	leaq	.LC0(%rip), %rdi
	leaq	12(%rsp), %rbp
	call	scanf@PLT
	movl	$3, c(%rip)
	jmp	.L2
	.p2align 4,,10
	.p2align 3
.L3:
	movslq	12(%rsp), %rdx
	movslq	(%r12,%rdx,4), %rax
	movq	%rdx, %rcx
	addl	$1, %ecx
	leal	-1(%rax), %esi
	movslq	%ecx, %rcx
	imulq	s(%rip), %rax
	movl	%esi, (%r12,%rdx,4)
	addl	$1, (%r12,%rcx,4)
	cqto
	idivq	m(%rip)
	movq	%rdx, s(%rip)
.L2:
	xorl	%eax, %eax
	movq	%rbp, %rsi
	movq	%rbx, %rdi
	call	scanf@PLT
	cmpl	$-1, %eax
	jne	.L3
	movq	s(%rip), %rsi
	leaq	.LC2(%rip), %rdi
	xorl	%eax, %eax
	call	printf@PLT
	addq	$16, %rsp
	.cfi_def_cfa_offset 32
	xorl	%eax, %eax
	popq	%rbx
	.cfi_def_cfa_offset 24
	popq	%rbp
	.cfi_def_cfa_offset 16
	popq	%r12
	.cfi_def_cfa_offset 8
	ret
	.cfi_endproc
.LFE0:
	.size	main, .-main
	.globl	c
	.bss
	.align 32
	.type	c, @object
	.size	c, 524288
c:
	.zero	524288
	.globl	m
	.data
	.align 8
	.type	m, @object
	.size	m, 8
m:
	.quad	1000000007
	.globl	s
	.align 8
	.type	s, @object
	.size	s, 8
s:
	.quad	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:

long s=1,m=1e9+7;
c[1<<17];
main(A){
	scanf("%*d");
	for(c[0]=3;~scanf("%d",&A);)
	{
		s=s*c[A]--%m;
		c[A+1]++;
	}
	printf("%ld\n",s);
}
54
0 0 1 0 1 2 1 2 3 2 3 3 4 4 5 4 6 5 7 8 5 6 6 7 7 8 8 9 9 10 10 11 9 12 10 13 14 11 11 12 12 20 13 14 14 15 15 15 16 16 16 17 17 17
 6
0 1 2 0 3 4
 6
0 1 1 3 4 5
 54
0 0 1 0 1 2 1 2 3 2 3 3 4 4 5 4 6 5 7 8 5 6 6 7 7 8 8 9 9 10 10 11 9 12 10 13 14 11 11 12 12 9 13 14 14 15 15 15 16 16 16 17 17 17
 6
0 1 0 3 4 5
 54
0 0 1 0 1 2 1 2 3 2 3 3 2 4 5 4 6 5 7 8 5 6 6 7 7 8 8 9 9 10 10 11 9 12 10 13 14 11 11 12 12 9 13 14 14 15 15 15 16 16 16 17 17 17
 6
0 1 0 1 4 5
 54
0 0 1 0 1 2 1 2 6 2 3 3 2 4 5 4 6 5 7 8 5 6 6 7 7 8 8 9 9 10 10 11 9 12 10 13 14 11 11 12 12 9 13 14 14 15 15 15 16 16 16 17 17 17
 6
0 1 0 1 2 5
 54
0 0 1 0 1 2 1 2 6 2 3 3 2 4 5 4 6 5 7 8 5 6 6 7 7 7 8 9 9 10 10 11 9 12 10 13 14 11 11 12 12 9 13 14 14 15 15 15 16 16 16 17 17 17

0
 6
 0
 0
 0
 0
 0
 0
 0
 0

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

```c
long s=1,m=1e9+7;
c[1<<17];
main(A){
	scanf("%*d");
	for(c[0]=3;~scanf("%d",&A);)
	{
		s=s*c[A]--%m;
		c[A+1]++;
	}
	printf("%ld\n",s);
}```

Unoptimized Assembly Code:

```assembly
	.file	"temp.c"
	.text
	.globl	s
	.data
	.align 8
	.type	s, @object
	.size	s, 8
s:
	.quad	1
	.globl	m
	.align 8
	.type	m, @object
	.size	m, 8
m:
	.quad	1000000007
	.globl	c
	.bss
	.align 32
	.type	c, @object
	.size	c, 524288
c:
	.zero	524288
	.section	.rodata
.LC0:
	.string	"%*d"
.LC1:
	.string	"%d"
.LC2:
	.string	"%ld\n"
	.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
	subq	$16, %rsp
	movl	%edi, -4(%rbp)
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	scanf@PLT
	movl	$3, c(%rip)
	jmp	.L2
.L3:
	movl	-4(%rbp), %edx
	movslq	%edx, %rax
	leaq	0(,%rax,4), %rcx
	leaq	c(%rip), %rax
	movl	(%rcx,%rax), %eax
	leal	-1(%rax), %ecx
	movslq	%edx, %rdx
	leaq	0(,%rdx,4), %rsi
	leaq	c(%rip), %rdx
	movl	%ecx, (%rsi,%rdx)
	movslq	%eax, %rdx
	movq	s(%rip), %rax
	imulq	%rdx, %rax
	movq	m(%rip), %rcx
	cqto
	idivq	%rcx
	movq	%rdx, %rax
	movq	%rax, s(%rip)
	movl	-4(%rbp), %eax
	addl	$1, %eax
	movslq	%eax, %rdx
	leaq	0(,%rdx,4), %rcx
	leaq	c(%rip), %rdx
	movl	(%rcx,%rdx), %edx
	leal	1(%rdx), %ecx
	cltq
	leaq	0(,%rax,4), %rdx
	leaq	c(%rip), %rax
	movl	%ecx, (%rdx,%rax)
.L2:
	leaq	-4(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC1(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	scanf@PLT
	cmpl	$-1, %eax
	jne	.L3
	movq	s(%rip), %rax
	movq	%rax, %rsi
	leaq	.LC2(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	printf@PLT
	movl	$0, %eax
	leave
	.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
	.globl	s
	.data
	.align 8
	.type	s, @object
	.size	s, 8
s:
	.quad	1
	.globl	m
	.align 8
	.type	m, @object
	.size	m, 8
m:
	.quad	1000000007
	.globl	c
	.bss
	.align 32
	.type	c, @object
	.size	c, 524288
c:
	.zero	524288
	.section	.rodata
.LC0:
	.string	"%*d"
.LC1:
	.string	"%d"
.LC2:
	.string	"%ld\n"
	.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
	subq	$16, %rsp
	movl	%edi, -4(%rbp)
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	scanf@PLT
	movl	$3, c(%rip)
	jmp	.L2
.L3:
	movl	-4(%rbp), %edx
	movslq	%edx, %rax
	leaq	0(,%rax,4), %rcx
	leaq	c(%rip), %rax
	movl	(%rcx,%rax), %eax
	leal	-1(%rax), %ecx
	movslq	%edx, %rdx
	leaq	0(,%rdx,4), %rsi
	leaq	c(%rip), %rdx
	movl	%ecx, (%rsi,%rdx)
	movslq	%eax, %rdx
	movq	s(%rip), %rax
	imulq	%rdx, %rax
	movq	m(%rip), %rcx
	cqto
	idivq	%rcx
	movq	%rdx, %rax
	movq	%rax, s(%rip)
	movl	-4(%rbp), %eax
	addl	$1, %eax
	movslq	%eax, %rdx
	leaq	0(,%rdx,4), %rcx
	leaq	c(%rip), %rdx
	movl	(%rcx,%rdx), %edx
	leal	1(%rdx), %ecx
	cltq
	leaq	0(,%rax,4), %rdx
	leaq	c(%rip), %rax
	movl	%ecx, (%rdx,%rax)
.L2:
	leaq	-4(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC1(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	scanf@PLT
	cmpl	$-1, %eax
	jne	.L3
	movq	s(%rip), %rax
	movq	%rax, %rsi
	leaq	.LC2(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	printf@PLT
	movl	$0, %eax
	leave
	.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:
