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

```c
#include <stdio.h>

int main()
{
	int i, N, A[100001];
	scanf("%d", &N);
	for (i = 1; i <= N; i++) scanf("%d", &(A[i]));
	
	int j, count[5] = {1, 0, 0, -1, -1};
	long long ans = (A[1] == 0)? 3: 0;
	for (i = 2; i <= N; i++) {
		for (j = 0; j < 3; j++) {
			if (A[i] == count[j]) break;
		}
		if (j == 3) ans = 0;
		else {
			if (j < 2 && count[j+1] == count[j]) {
				if (j == 0 && count[j+2] == count[j]) ans = ans * 3 % 1000000007;
				else ans = ans * 2 % 1000000007;
			}
			count[j]++;
		}
	}
	
	printf("%lld\n", ans);
	fflush(stdout);
	return 0;
}```

Assembly Code:

```assembly
	.file	"temp.c"
	.text
	.section	.rodata.str1.1,"aMS",@progbits,1
.LC0:
	.string	"%d"
.LC2:
	.string	"%lld\n"
	.section	.text.startup,"ax",@progbits
	.p2align 4
	.globl	main
	.type	main, @function
main:
.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
	leaq	-397312(%rsp), %r11
	.cfi_def_cfa 11, 397344
.LPSRL0:
	subq	$4096, %rsp
	orq	$0, (%rsp)
	cmpq	%r11, %rsp
	jne	.LPSRL0
	.cfi_def_cfa_register 7
	subq	$2752, %rsp
	.cfi_def_cfa_offset 400096
	leaq	.LC0(%rip), %r12
	movq	%r12, %rdi
	movq	%fs:40, %rax
	movq	%rax, 400056(%rsp)
	xorl	%eax, %eax
	leaq	12(%rsp), %rsi
	call	__isoc99_scanf@PLT
	movl	12(%rsp), %eax
	testl	%eax, %eax
	jle	.L2
	leaq	52(%rsp), %rbp
	movl	$1, %ebx
	.p2align 4,,10
	.p2align 3
.L3:
	movq	%rbp, %rsi
	movq	%r12, %rdi
	xorl	%eax, %eax
	addl	$1, %ebx
	call	__isoc99_scanf@PLT
	movl	12(%rsp), %eax
	addq	$4, %rbp
	cmpl	%ebx, %eax
	jge	.L3
.L2:
	movq	.LC1(%rip), %rdx
	cmpl	$1, 52(%rsp)
	movl	$0, 24(%rsp)
	movq	%rdx, 16(%rsp)
	sbbq	%rdx, %rdx
	andl	$3, %edx
	cmpl	$1, %eax
	jle	.L5
	subl	$2, %eax
	leaq	56(%rsp), %rsi
	xorl	%ecx, %ecx
	movl	$1, %edi
	leaq	60(%rsp,%rax,4), %r8
	movl	$1000000007, %r10d
	movabsq	$-8543223828751151131, %r9
	jmp	.L6
	.p2align 4,,10
	.p2align 3
.L22:
	movl	16(%rsp), %edi
	movl	20(%rsp), %ecx
.L6:
	movl	(%rsi), %eax
	cmpl	%eax, %edi
	je	.L9
	movl	24(%rsp), %edi
	cmpl	%ecx, %eax
	je	.L10
	cmpl	%eax, %edi
	je	.L16
	xorl	%edx, %edx
.L11:
	addq	$4, %rsi
	cmpq	%rsi, %r8
	jne	.L22
.L5:
	movl	$1, %edi
	xorl	%eax, %eax
	leaq	.LC2(%rip), %rsi
	call	__printf_chk@PLT
	movq	stdout(%rip), %rdi
	call	fflush@PLT
	movq	400056(%rsp), %rax
	subq	%fs:40, %rax
	jne	.L23
	addq	$400064, %rsp
	.cfi_remember_state
	.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
	.p2align 4,,10
	.p2align 3
.L10:
	.cfi_restore_state
	cmpl	%ecx, %edi
	je	.L17
	movl	$1, %eax
.L8:
	addl	$1, %ecx
	movl	%ecx, 16(%rsp,%rax,4)
	jmp	.L11
.L17:
	movl	$1, %edi
.L7:
	leaq	(%rdx,%rdx), %rcx
	movq	%rcx, %rax
	mulq	%r9
	shrq	$29, %rdx
	imulq	$1000000007, %rdx, %rax
	movq	%rcx, %rdx
	subq	%rax, %rdx
	movslq	%edi, %rax
	movl	16(%rsp,%rax,4), %ecx
	jmp	.L8
.L16:
	movl	%edi, %ecx
	movl	$2, %eax
	jmp	.L8
.L9:
	cmpl	%ecx, %edi
	je	.L12
	movl	%edi, %ecx
	xorl	%eax, %eax
	jmp	.L8
.L12:
	xorl	%edi, %edi
	cmpl	%ecx, 24(%rsp)
	jne	.L7
	leaq	(%rdx,%rdx,2), %rax
	cqto
	idivq	%r10
	xorl	%eax, %eax
	jmp	.L8
.L23:
	call	__stack_chk_fail@PLT
	.cfi_endproc
.LFE23:
	.size	main, .-main
	.section	.rodata.cst8,"aM",@progbits,8
	.align 8
.LC1:
	.long	1
	.long	0
	.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.
Optimized Assembly Code:

user
```assembly
	.file	"temp.c"
	.text
	.section	.rodata.str1.1,"aMS",@progbits,1
.LC0:
	.string	"%d"
.LC2:
	.string	"%lld\n"
	.section	.text.startup,"ax",@progbits
	.p2align 4
	.globl	main
	.type	main, @function
main:
.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
	leaq	-397312(%rsp), %r11
	.cfi_def_cfa 11, 397344
.LPSRL0:
	subq	$4096, %rsp
	orq	$0, (%rsp)
	cmpq	%r11, %rsp
	jne	.LPSRL0
	.cfi_def_cfa_register 7
	subq	$2752, %rsp
	.cfi_def_cfa_offset 400096
	leaq	.LC0(%rip), %r12
	movq	%r12, %rdi
	movq	%fs:40, %rax
	movq	%rax, 400056(%rsp)
	xorl	%eax, %eax
	leaq	12(%rsp), %rsi
	call	__isoc99_scanf@PLT
	movl	12(%rsp), %eax
	testl	%eax, %eax
	jle	.L2
	leaq	52(%rsp), %rbp
	movl	$1, %ebx
	.p2align 4,,10
	.p2align 3
.L3:
	movq	%rbp, %rsi
	movq	%r12, %rdi
	xorl	%eax, %eax
	addl	$1, %ebx
	call	__isoc99_scanf@PLT
	movl	12(%rsp), %eax
	addq	$4, %rbp
	cmpl	%ebx, %eax
	jge	.L3
.L2:
	movq	.LC1(%rip), %rdx
	cmpl	$1, 52(%rsp)
	movl	$0, 24(%rsp)
	movq	%rdx, 16(%rsp)
	sbbq	%rdx, %rdx
	andl	$3, %edx
	cmpl	$1, %eax
	jle	.L5
	subl	$2, %eax
	leaq	56(%rsp), %rsi
	xorl	%ecx, %ecx
	movl	$1, %edi
	leaq	60(%rsp,%rax,4), %r8
	movl	$1000000007, %r10d
	movabsq	$-8543223828751151131, %r9
	jmp	.L6
	.p2align 4,,10
	.p2align 3
.L22:
	movl	16(%rsp), %edi
	movl	20(%rsp), %ecx
.L6:
	movl	(%rsi), %eax
	cmpl	%eax, %edi
	je	.L9
	movl	24(%rsp), %edi
	cmpl	%ecx, %eax
	je	.L10
	cmpl	%eax, %edi
	je	.L16
	xorl	%edx, %edx
.L11:
	addq	$4, %rsi
	cmpq	%rsi, %r8
	jne	.L22
.L5:
	movl	$1, %edi
	xorl	%eax, %eax
	leaq	.LC2(%rip), %rsi
	call	__printf_chk@PLT
	movq	stdout(%rip), %rdi
	call	fflush@PLT
	movq	400056(%rsp), %rax
	subq	%fs:40, %rax
	jne	.L23
	addq	$400064, %rsp
	.cfi_remember_state
	.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
	.p2align 4,,10
	.p2align 3
.L10:
	.cfi_restore_state
	cmpl	%ecx, %edi
	je	.L17
	movl	$1, %eax
.L8:
	addl	$1, %ecx
	movl	%ecx, 16(%rsp,%rax,4)
	jmp	.L11
.L17:
	movl	$1, %edi
.L7:
	leaq	(%rdx,%rdx), %rcx
	movq	%rcx, %rax
	mulq	%r9
	shrq	$29, %rdx
	imulq	$1000000007, %rdx, %rax
	movq	%rcx, %rdx
	subq	%rax, %rdx
	movslq	%edi, %rax
	movl	16(%rsp,%rax,4), %ecx
	jmp	.L8
.L16:
	movl	%edi, %ecx
	movl	$2, %eax
	jmp	.L8
.L9:
	cmpl	%ecx, %edi
	je	.L12
	movl	%edi, %ecx
	xorl	%eax, %eax
	jmp	.L8
.L12:
	xorl	%edi, %edi
	cmpl	%ecx, 24(%rsp)
	jne	.L7
	leaq	(%rdx,%rdx,2), %rax
	cqto
	idivq	%r10
	xorl	%eax, %eax
	jmp	.L8
.L23:
	call	__stack_chk_fail@PLT
	.cfi_endproc
.LFE23:
	.size	main, .-main
	.section	.rodata.cst8,"aM",@progbits,8
	.align 8
.LC1:
	.long	1
	.long	0
	.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
```assembly
	.file	"temp.c"
	.text
	.section	.rodata.str1.1,"aMS",@progbits,1
.LC0:
	.string	"%d"
.LC2:
	.string	"%lld\n"
	.section	.text.startup,"ax",@progbits
	.p2align 4
	.globl	main
	.type	main, @function
main:
.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
	leaq	-397312(%rsp), %r11
	.cfi_def_cfa 11, 397344
.LPSRL0:
	subq	$4096, %rsp
	orq	$0, (%rsp)
	cmpq	%r11, %rsp
	jne	.LPSRL0
	.cfi_def_cfa_register 7
	subq	$2752, %rsp
	.cfi_def_cfa_offset 400096
	leaq	.LC0(%rip), %r12
	movq	%r12, %rdi
	movq	%fs:40, %rax
	movq	%rax, 400056(%rsp)
	xorl	%eax, %eax
	leaq	12(%rsp), %rsi
	call	__isoc99_scanf@PLT
	movl	12(%rsp), %eax
	testl	%eax, %eax
	jle	.L2
	leaq	52(%rsp), %rbp
	movl	$1, %ebx
	.p2align 4,,10
	.p2align 3
.L3:
	movq	%rbp, %rsi
	movq	%r12, %rdi
	xorl	%eax, %eax
	addl	$1, %ebx
	call	__isoc99_scanf@PLT
	movl	12(%rsp), %eax
	addq	$4, %rbp
	cmpl	%ebx, %eax
	jge	.L3
.L2:
	movq	.LC1(%rip), %rdx
	cmpl	$1, 52(%rsp)
	movl	$0, 24(%rsp)
	movq	%rdx, 16(%rsp)
	sbbq	%rdx, %rdx
	andl	$3, %edx
	cmpl	$1, %eax
	jle	.L5
	subl	$2, %eax
	leaq	56(%rsp), %rsi
	xorl	%ecx, %ecx
	movl	$1, %edi
	leaq	60(%rsp,%rax,4), %r8
	movl	$1000000007, %r10d
	movabsq	$-8543223828751151131, %r9
	jmp	.L6
	.p2align 4,,10
	.p2align 3
.L22:
	movl	16(%rsp), %edi
	movl	20(%rsp), %ecx
.L6:
	movl	(%rsi), %eax
	cmpl	%eax, %edi
	je	.L9
	movl	24(%rsp), %edi
	cmpl	%ecx, %eax
	je	.L10
	cmpl	%eax, %edi
	je	.L16
	xorl	%edx, %edx
.L11:
	addq	$4, %rsi
	cmpq	%rsi, %r8
	jne	.L22
.L5:
	movl	$1, %edi
	xorl	%eax, %eax
	leaq	.LC2(%rip), %rsi
	call	__printf_chk@PLT
	movq	stdout(%rip), %rdi
	call	fflush@PLT
	movq	400056(%rsp), %rax
	subq	%fs:40, %rax
	jne	.L23
	addq	$400064, %rsp
	.cfi_remember_state
	.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
	.p2align 4,,10
	.p2align 3
.L10:
	.cfi_restore_state
	cmpl	%ecx, %edi
	je	.L17
	movl	$1, %eax
.L8:
	addl	$1, %ecx
	movl	%ecx, 16(%rsp,%rax,4)
	jmp	.L11
.L17:
	movl	$1, %edi
.L7:
	leaq	(%rdx,%rdx), %rcx
	movq	%rcx, %rax
	mulq	%r9
	shrq	$29, %rdx
	imulq	$1000000007, %rdx, %rax
	movq	%rcx, %rdx
	subq	%rax, %rdx
	movslq	%edi, %rax
	movl	16(%rsp,%rax,4), %ecx
	jmp	.L8
.L16:
	movl	%edi, %ecx
	movl	$2, %eax
	jmp	.L8
.L9:
	cmpl	%ecx, %edi
	je	.L12
	movl	%edi, %ecx
	xorl	%eax, %eax
	jmp	.L8
.L12:
	xorl	%edi, %edi
	cmpl	%ecx, 24(%rsp)
	jne	.L7
	leaq	(%rdx,%rdx,2), %rax
	cqto
	idivq	%r10
	xorl	%eax, %eax
	jmp	.L8
.L23:
	call	__stack_chk_fail@PLT
	.cfi_endproc
.LFE23:
	.size	main, .-main
	.section	.rodata.cst8,"aM",@progbits,8
	.align 8
.LC1:
	.long	1
	.long	0
	.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:
```
```c
#include <stdio.h>

int main()
{
	int i, N, A[100001];
	scanf("%d", &N);
	for (i = 1; i <= N; i++) scanf("%d", &(A[i]));
	
	int j, count[5] = {1, 0, 0, -1, -1};
	long long ans = (A[1] == 0)? 3: 0;
	for (i = 2; i <= N; i++) {
		for (j = 0; j < 3; j++) {
			if (A[i] == count[j]) break;
		}
		if (j == 3) ans = 0;
		else {
			if (j < 2 && count[j+1] == count[j]) {
				if (j == 0 && count[j+2] == count[j]) ans = ans * 3 % 1000000007;
				else ans = ans * 2 % 1000000007;
			}
			count[j]++;
		}
	}
	
	printf("%lld\n", ans);
	fflush(stdout);
	return 0;
}```
Given the following C code, your task is to generate highly optimized x86-64 assembly code.
C Code:

```c
#include <stdio.h>

int main()
{
	int i, N, A[100001];
	scanf("%d", &N);
	for (i = 1; i <= N; i++) scanf("%d", &(A[i]));
	
	int j, count[5] = {1, 0, 0, -1, -1};
	long long ans = (A[1] == 0)? 3: 0;
	for (i = 2; i <= N; i++) {
		for (j = 0; j < 3; j++) {
			if (A[i] == count[j]) break;
		}
		if (j == 3) ans = 0;
		else {
			if (j < 2 && count[j+1] == count[j]) {
				if (j == 0 && count[j+2] == count[j]) ans = ans * 3 % 1000000007;
				else ans = ans * 2 % 1000000007;
			}
			count[j]++;
		}
	}
	
	printf("%lld\n", ans);
	fflush(stdout);
	return 0;
}```

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.
Optimized Assembly Code:

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 assembly code, your task is to generate highly optimized x86-64 assembly code.
C Code:

```c
#include <stdio.h>

int main()
{
	int i, N, A[100001];
	scanf("%d", &N);
	for (i = 1; i <= N; i++) scanf("%d", &(A[i]));
	
	int j, count[5] = {1, 0, 0, -1, -1};
	long long ans = (A[1] == 0)? 3: 0;
	for (i = 2; i <= N; i++) {
		for (j = 0; j < 3; j++) {
			if (A[i] == count[j]) break;
		}
		if (j == 3) ans = 0;
		else {
			if (j < 2 && count[j+1] == count[j]) {
				if (j == 0 && count[j+2] == count[j]) ans = ans * 3 % 1000000007;
				else ans = ans * 2 % 1000000007;
			}
			count[j]++;
		}
	}
	
	printf("%lld\n", ans);
	fflush(stdout);
	return 0;
}```

Assembly Code:

```assembly
	.file	"temp.c"
	.text
	.section	.rodata.str1.1,"aMS",@progbits,1
.LC0:
	.string	"%d"
.LC2:
	.string	"%lld\n"
	.section	.text.startup,"ax",@progbits
	.p2align 4
	.globl	main
	.type	main, @function
main:
.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
	leaq	-397312(%rsp), %r11
	.cfi_def_cfa 11, 397344
.LPSRL0:
	subq	$4096, %rsp
	orq	$0, (%rsp)
	cmpq	%r11, %rsp
	jne	.LPSRL0
	.cfi_def_cfa_register 7
	subq	$2752, %rsp
	.cfi_def_cfa_offset 400096
	leaq	.LC0(%rip), %r12
	movq	%r12, %rdi
	movq	%fs:40, %rax
	movq	%rax, 400056(%rsp)
	xorl	%eax, %eax
	leaq	12(%rsp), %rsi
	call	__isoc99_scanf@PLT
	movl	12(%rsp), %eax
	testl	%eax, %eax
	jle	.L2
	leaq	52(%rsp), %rbp
	movl	$1, %ebx
	.p2align 4,,10
	.p2align 3
.L3:
	movq	%rbp, %rsi
	movq	%r12, %rdi
	xorl	%eax, %eax
	addl	$1, %ebx
	call	__isoc99_scanf@PLT
	movl	12(%rsp), %eax
	addq	$4, %rbp
	cmpl	%ebx, %eax
	jge	.L3
.L2:
	movq	.LC1(%rip), %rdx
	cmpl	$1, 52(%rsp)
	movl	$0, 24(%rsp)
	movq	%rdx, 16(%rsp)
	sbbq	%rdx, %rdx
	andl	$3, %edx
	cmpl	$1, %eax
	jle	.L5
	subl	$2, %eax
	leaq	56(%rsp), %rsi
	xorl	%ecx, %ecx
	movl	$1, %edi
	leaq	60(%rsp,%rax,4), %r8
	movl	$1000000007, %r10d
	movabsq	$-8543223828751151131, %r9
	jmp	.L6
	.p2align 4,,10
	.p2align 3
.L22:
	movl	16(%rsp), %edi
	movl	20(%rsp), %ecx
.L6:
	movl	(%rsi), %eax
	cmpl	%eax, %edi
	je	.L9
	movl	24(%rsp), %edi
	cmpl	%ecx, %eax
	je	.L10
	cmpl	%eax, %edi
	je	.L16
	xorl	%edx, %edx
.L11:
	addq	$4, %rsi
	cmpq	%rsi, %r8
	jne	.L22
.L5:
	movl	$1, %edi
	xorl	%eax, %eax
	leaq	.LC2(%rip), %rsi
	call	__printf_chk@PLT
	movq	stdout(%rip), %rdi
	call	fflush@PLT
	movq	400056(%rsp), %rax
	subq	%fs:40, %rax
	jne	.L23
	addq	$400064, %rsp
	.cfi_remember_state
	.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
	.p2align 4,,10
	.p2align 3
.L10:
	.cfi_restore_state
	cmpl	%ecx, %edi
	je	.L17
	movl	$1, %eax
.L8:
	addl	$1, %ecx
	movl	%ecx, 16(%rsp,%rax,4)
	jmp	.L11
.L17:
	movl	$1, %edi
.L7:
	leaq	(%rdx,%rdx), %rcx
	movq	%rcx, %rax
	mulq	%r9
	shrq	$29, %rdx
	imulq	$1000000007, %rdx, %rax
	movq	%rcx, %rdx
	subq	%rax, %rdx
	movslq	%edi, %rax
	movl	16(%rsp,%rax,4), %ecx
	jmp	.L8
.L16:
	movl	%edi, %ecx
	movl	$2, %eax
	jmp	.L8
.L9:
	cmpl	%ecx, %edi
	je	.L12
	movl	%edi, %ecx
	xorl	%eax, %eax
	jmp	.L8
.L12:
	xorl	%edi, %edi
	cmpl	%ecx, 24(%rsp)
	jne	.L7
	leaq	(%rdx,%rdx,2), %rax
	cqto
	idivq	%r10
	xorl	%eax, %eax
	jmp	.L8
.L23:
	call	__stack_chk_fail@PLT
	.cfi_endproc
.LFE23:
	.size	main, .-main
	.section	.rodata.cst8,"aM",@progbits,8
	.align 8
.LC1:
	.long	1
	.long	0
	.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.
Optimized Assembly Code:

train
```assembly
	.file	"temp.c"
	.text
	.section	.rodata.str1.1,"aMS",@progbits,1
.LC0:
	.string	"%d"
.LC2:
	.string	"%lld\n"
	.section	.text.startup,"ax",@progbits
	.p2align 4
	.globl	main
	.type	main, @function
main:
.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
	leaq	-397312(%rsp), %r11
	.cfi_def_cfa 11, 397344
.LPSRL0:
	subq	$4096, %rsp
	orq	$0, (%rsp)
	cmpq	%r11, %rsp
	jne	.LPSRL0
	.cfi_def_cfa_register 7
	subq	$2752, %rsp
	.cfi_def_cfa_offset 400096
	leaq	.LC0(%rip), %r12
	movq	%r12, %rdi
	movq	%fs:40, %rax
	movq	%rax, 400056(%rsp)
	xorl	%eax, %eax
	leaq	12(%rsp), %rsi
	call	__isoc99_scanf@PLT
	movl	12(%rsp), %eax
	testl	%eax, %eax
	jle	.L2
	leaq	52(%rsp), %rbp
	movl	$1, %ebx
	.p2align 4,,10
	.p2align 3
.L3:
	movq	%rbp, %rsi
	movq	%r12, %rdi
	xorl	%eax, %eax
	addl	$1, %ebx
	call	__isoc99_scanf@PLT
	movl	12(%rsp), %eax
	addq	$4, %rbp
	cmpl	%ebx, %eax
	jge	.L3
.L2:
	movq	.LC1(%rip), %rdx
	cmpl	$1, 52(%rsp)
	movl	$0, 24(%rsp)
	movq	%rdx, 16(%rsp)
	sbbq	%rdx, %rdx
	andl	$3, %edx
	cmpl	$1, %eax
	jle	.L5
	subl	$2, %eax
	leaq	56(%rsp), %rsi
	xorl	%ecx, %ecx
	movl	$1, %edi
	leaq	60(%rsp,%rax,4), %r8
	movl	$1000000007, %r10d
	movabsq	$-8543223828751151131, %r9
	jmp	.L6
	.p2align 4,,10
	.p2align 3
.L22:
	movl	16(%rsp), %edi
	movl	20(%rsp), %ecx
.L6:
	movl	(%rsi), %eax
	cmpl	%eax, %edi
	je	.L9
	movl	24(%rsp), %edi
	cmpl	%ecx, %eax
	je	.L10
	cmpl	%eax, %edi
	je	.L16
	xorl	%edx, %edx
.L11:
	addq	$4, %rsi
	cmpq	%rsi, %r8
	jne	.L22
.L5:
	movl	$1, %edi
	xorl	%eax, %eax
	leaq	.LC2(%rip), %rsi
	call	__printf_chk@PLT
	movq	stdout(%rip), %rdi
	call	fflush@PLT
	movq	400056(%rsp), %rax
	subq	%fs:40, %rax
	jne	.L23
	addq	$400064, %rsp
	.cfi_remember_state
	.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
	.p2align 4,,10
	.p2align 3
.L10:
	.cfi_restore_state
	cmpl	%ecx, %edi
	je	.L17
	movl	$1, %eax
.L8:
	addl	$1, %ecx
	movl	%ecx, 16(%rsp,%rax,4)
	jmp	.L11
.L17:
	movl	$1, %edi
.L7:
	leaq	(%rdx,%rdx), %rcx
	movq	%rcx, %rax
	mulq	%r9
	shrq	$29, %rdx
	imulq	$1000000007, %rdx, %rax
	movq	%rcx, %rdx
	subq	%rax, %rdx
	movslq	%edi, %rax
	movl	16(%rsp,%rax,4), %ecx
	jmp	.L8
.L16:
	movl	%edi, %ecx
	movl	$2, %eax
	jmp	.L8
.L9:
	cmpl	%ecx, %edi
	je	.L12
	movl	%edi, %ecx
	xorl	%eax, %eax
	jmp	.L8
.L12:
	xorl	%edi, %edi
	cmpl	%ecx, 24(%rsp)
	jne	.L7
	leaq	(%rdx,%rdx,2), %rax
	cqto
	idivq	%r10
	xorl	%eax, %eax
	jmp	.L8
.L23:
	call	__stack_chk_fail@PLT
	.cfi_endproc
.LFE23:
	.size	main, .-main
	.section	.rodata.cst8,"aM",@progbits,8
	.align 8
.LC1:
	.long	1
	.long	0
	.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:
```