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>

int main()
{
	int N;
	char S[101];
	scanf("%d", &N);
	scanf("%s", S);
	
	int i, count = 0, max = 0;
	for (i = 0; S[i] != 0; i++) {
		if (S[i] == '(') count--;
		else count++;
		if (count > max) max = count;
	}
	
	for (i = 0; i < max; i++) printf("(");
	printf(S);
	for (i = 0; i < max - count; i++) printf(")");
	fflush(stdout);
	return 0;
}```

Unoptimized Assembly Code:

```assembly
	.file	"temp.c"
	.text
	.section	.rodata
.LC0:
	.string	"%d"
.LC1:
	.string	"%s"
	.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
	addq	$-128, %rsp
	movq	%fs:40, %rax
	movq	%rax, -8(%rbp)
	xorl	%eax, %eax
	leaq	-128(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	leaq	-112(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC1(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movl	$0, -120(%rbp)
	movl	$0, -116(%rbp)
	movl	$0, -124(%rbp)
	jmp	.L2
.L6:
	movl	-124(%rbp), %eax
	cltq
	movzbl	-112(%rbp,%rax), %eax
	cmpb	$40, %al
	jne	.L3
	subl	$1, -120(%rbp)
	jmp	.L4
.L3:
	addl	$1, -120(%rbp)
.L4:
	movl	-120(%rbp), %eax
	cmpl	-116(%rbp), %eax
	jle	.L5
	movl	-120(%rbp), %eax
	movl	%eax, -116(%rbp)
.L5:
	addl	$1, -124(%rbp)
.L2:
	movl	-124(%rbp), %eax
	cltq
	movzbl	-112(%rbp,%rax), %eax
	testb	%al, %al
	jne	.L6
	movl	$0, -124(%rbp)
	jmp	.L7
.L8:
	movl	$40, %edi
	call	putchar@PLT
	addl	$1, -124(%rbp)
.L7:
	movl	-124(%rbp), %eax
	cmpl	-116(%rbp), %eax
	jl	.L8
	leaq	-112(%rbp), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	printf@PLT
	movl	$0, -124(%rbp)
	jmp	.L9
.L10:
	movl	$41, %edi
	call	putchar@PLT
	addl	$1, -124(%rbp)
.L9:
	movl	-116(%rbp), %eax
	subl	-120(%rbp), %eax
	cmpl	%eax, -124(%rbp)
	jl	.L10
	movq	stdout(%rip), %rax
	movq	%rax, %rdi
	call	fflush@PLT
	movl	$0, %eax
	movq	-8(%rbp), %rdx
	subq	%fs:40, %rdx
	je	.L12
	call	__stack_chk_fail@PLT
.L12:
	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	"%d"
.LC1:
	.string	"%s"
	.section	.text.startup,"ax",@progbits
	.p2align 4
	.globl	main
	.type	main, @function
main:
.LFB39:
	.cfi_startproc
	endbr64
	pushq	%r13
	.cfi_def_cfa_offset 16
	.cfi_offset 13, -16
	leaq	.LC0(%rip), %rdi
	pushq	%r12
	.cfi_def_cfa_offset 24
	.cfi_offset 12, -24
	pushq	%rbp
	.cfi_def_cfa_offset 32
	.cfi_offset 6, -32
	pushq	%rbx
	.cfi_def_cfa_offset 40
	.cfi_offset 3, -40
	subq	$136, %rsp
	.cfi_def_cfa_offset 176
	movq	%fs:40, %rax
	movq	%rax, 120(%rsp)
	xorl	%eax, %eax
	leaq	12(%rsp), %rsi
	leaq	16(%rsp), %r12
	call	__isoc99_scanf@PLT
	movq	%r12, %rsi
	leaq	.LC1(%rip), %rdi
	xorl	%eax, %eax
	call	__isoc99_scanf@PLT
	movzbl	16(%rsp), %eax
	testb	%al, %al
	je	.L2
	leaq	17(%rsp), %rdx
	xorl	%ebp, %ebp
	xorl	%ebx, %ebx
	.p2align 4,,10
	.p2align 3
.L5:
	leal	-1(%rbx), %ecx
	addl	$1, %ebx
	cmpb	$40, %al
	cmove	%ecx, %ebx
	cmpl	%ebx, %ebp
	cmovl	%ebx, %ebp
	movzbl	(%rdx), %eax
	addq	$1, %rdx
	testb	%al, %al
	jne	.L5
	testl	%ebp, %ebp
	je	.L8
	xorl	%r13d, %r13d
	.p2align 4,,10
	.p2align 3
.L9:
	movl	$40, %edi
	addl	$1, %r13d
	call	putchar@PLT
	cmpl	%ebp, %r13d
	jne	.L9
.L8:
	movq	%r12, %rsi
	movl	$1, %edi
	xorl	%eax, %eax
	subl	%ebx, %ebp
	call	__printf_chk@PLT
	testl	%ebp, %ebp
	jle	.L7
	xorl	%ebx, %ebx
	.p2align 4,,10
	.p2align 3
.L11:
	movl	$41, %edi
	addl	$1, %ebx
	call	putchar@PLT
	cmpl	%ebp, %ebx
	jne	.L11
.L7:
	movq	stdout(%rip), %rdi
	call	fflush@PLT
	movq	120(%rsp), %rax
	subq	%fs:40, %rax
	jne	.L22
	addq	$136, %rsp
	.cfi_remember_state
	.cfi_def_cfa_offset 40
	xorl	%eax, %eax
	popq	%rbx
	.cfi_def_cfa_offset 32
	popq	%rbp
	.cfi_def_cfa_offset 24
	popq	%r12
	.cfi_def_cfa_offset 16
	popq	%r13
	.cfi_def_cfa_offset 8
	ret
.L2:
	.cfi_restore_state
	movq	%r12, %rsi
	movl	$1, %edi
	xorl	%eax, %eax
	call	__printf_chk@PLT
	jmp	.L7
.L22:
	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	"%d"
.LC1:
	.string	"%s"
	.section	.text.startup,"ax",@progbits
	.p2align 4
	.globl	main
	.type	main, @function
main:
.LFB39:
	.cfi_startproc
	endbr64
	pushq	%r13
	.cfi_def_cfa_offset 16
	.cfi_offset 13, -16
	leaq	.LC0(%rip), %rdi
	pushq	%r12
	.cfi_def_cfa_offset 24
	.cfi_offset 12, -24
	pushq	%rbp
	.cfi_def_cfa_offset 32
	.cfi_offset 6, -32
	pushq	%rbx
	.cfi_def_cfa_offset 40
	.cfi_offset 3, -40
	subq	$136, %rsp
	.cfi_def_cfa_offset 176
	movq	%fs:40, %rax
	movq	%rax, 120(%rsp)
	xorl	%eax, %eax
	leaq	12(%rsp), %rsi
	leaq	16(%rsp), %r12
	call	__isoc99_scanf@PLT
	movq	%r12, %rsi
	leaq	.LC1(%rip), %rdi
	xorl	%eax, %eax
	call	__isoc99_scanf@PLT
	movzbl	16(%rsp), %eax
	testb	%al, %al
	je	.L2
	leaq	17(%rsp), %rdx
	xorl	%ebp, %ebp
	xorl	%ebx, %ebx
	.p2align 4,,10
	.p2align 3
.L5:
	leal	-1(%rbx), %ecx
	addl	$1, %ebx
	cmpb	$40, %al
	cmove	%ecx, %ebx
	cmpl	%ebx, %ebp
	cmovl	%ebx, %ebp
	movzbl	(%rdx), %eax
	addq	$1, %rdx
	testb	%al, %al
	jne	.L5
	testl	%ebp, %ebp
	je	.L8
	xorl	%r13d, %r13d
	.p2align 4,,10
	.p2align 3
.L9:
	movl	$40, %edi
	addl	$1, %r13d
	call	putchar@PLT
	cmpl	%ebp, %r13d
	jne	.L9
.L8:
	movq	%r12, %rsi
	movl	$1, %edi
	xorl	%eax, %eax
	subl	%ebx, %ebp
	call	__printf_chk@PLT
	testl	%ebp, %ebp
	jle	.L7
	xorl	%ebx, %ebx
	.p2align 4,,10
	.p2align 3
.L11:
	movl	$41, %edi
	addl	$1, %ebx
	call	putchar@PLT
	cmpl	%ebp, %ebx
	jne	.L11
.L7:
	movq	stdout(%rip), %rdi
	call	fflush@PLT
	movq	120(%rsp), %rax
	subq	%fs:40, %rax
	jne	.L22
	addq	$136, %rsp
	.cfi_remember_state
	.cfi_def_cfa_offset 40
	xorl	%eax, %eax
	popq	%rbx
	.cfi_def_cfa_offset 32
	popq	%rbp
	.cfi_def_cfa_offset 24
	popq	%r12
	.cfi_def_cfa_offset 16
	popq	%r13
	.cfi_def_cfa_offset 8
	ret
.L2:
	.cfi_restore_state
	movq	%r12, %rsi
	movl	$1, %edi
	xorl	%eax, %eax
	call	__printf_chk@PLT
	jmp	.L7
.L22:
	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>

int main()
{
	int N;
	char S[101];
	scanf("%d", &N);
	scanf("%s", S);
	
	int i, count = 0, max = 0;
	for (i = 0; S[i] != 0; i++) {
		if (S[i] == '(') count--;
		else count++;
		if (count > max) max = count;
	}
	
	for (i = 0; i < max; i++) printf("(");
	printf(S);
	for (i = 0; i < max - count; i++) printf(")");
	fflush(stdout);
	return 0;
}
8
(((())))
 3
)()
 6
)())))
 3
)))
 6
())())
 6
))())(
 6
))(()(
 8
))))(()(
 6
)))()(
 8
)((())))

(((()))) ()() (((()()))) ((())) ((())()) ((())())() (())(()()) (((())))(()()) ((()))()() (()((())))
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>

int main()
{
	int N;
	char S[101];
	scanf("%d", &N);
	scanf("%s", S);
	
	int i, count = 0, max = 0;
	for (i = 0; S[i] != 0; i++) {
		if (S[i] == '(') count--;
		else count++;
		if (count > max) max = count;
	}
	
	for (i = 0; i < max; i++) printf("(");
	printf(S);
	for (i = 0; i < max - count; i++) printf(")");
	fflush(stdout);
	return 0;
}```

Unoptimized Assembly Code:

```assembly
	.file	"temp.c"
	.text
	.section	.rodata
.LC0:
	.string	"%d"
.LC1:
	.string	"%s"
	.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
	addq	$-128, %rsp
	movq	%fs:40, %rax
	movq	%rax, -8(%rbp)
	xorl	%eax, %eax
	leaq	-128(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	leaq	-112(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC1(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movl	$0, -120(%rbp)
	movl	$0, -116(%rbp)
	movl	$0, -124(%rbp)
	jmp	.L2
.L6:
	movl	-124(%rbp), %eax
	cltq
	movzbl	-112(%rbp,%rax), %eax
	cmpb	$40, %al
	jne	.L3
	subl	$1, -120(%rbp)
	jmp	.L4
.L3:
	addl	$1, -120(%rbp)
.L4:
	movl	-120(%rbp), %eax
	cmpl	-116(%rbp), %eax
	jle	.L5
	movl	-120(%rbp), %eax
	movl	%eax, -116(%rbp)
.L5:
	addl	$1, -124(%rbp)
.L2:
	movl	-124(%rbp), %eax
	cltq
	movzbl	-112(%rbp,%rax), %eax
	testb	%al, %al
	jne	.L6
	movl	$0, -124(%rbp)
	jmp	.L7
.L8:
	movl	$40, %edi
	call	putchar@PLT
	addl	$1, -124(%rbp)
.L7:
	movl	-124(%rbp), %eax
	cmpl	-116(%rbp), %eax
	jl	.L8
	leaq	-112(%rbp), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	printf@PLT
	movl	$0, -124(%rbp)
	jmp	.L9
.L10:
	movl	$41, %edi
	call	putchar@PLT
	addl	$1, -124(%rbp)
.L9:
	movl	-116(%rbp), %eax
	subl	-120(%rbp), %eax
	cmpl	%eax, -124(%rbp)
	jl	.L10
	movq	stdout(%rip), %rax
	movq	%rax, %rdi
	call	fflush@PLT
	movl	$0, %eax
	movq	-8(%rbp), %rdx
	subq	%fs:40, %rdx
	je	.L12
	call	__stack_chk_fail@PLT
.L12:
	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	"%d"
.LC1:
	.string	"%s"
	.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
	addq	$-128, %rsp
	movq	%fs:40, %rax
	movq	%rax, -8(%rbp)
	xorl	%eax, %eax
	leaq	-128(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	leaq	-112(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC1(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movl	$0, -120(%rbp)
	movl	$0, -116(%rbp)
	movl	$0, -124(%rbp)
	jmp	.L2
.L6:
	movl	-124(%rbp), %eax
	cltq
	movzbl	-112(%rbp,%rax), %eax
	cmpb	$40, %al
	jne	.L3
	subl	$1, -120(%rbp)
	jmp	.L4
.L3:
	addl	$1, -120(%rbp)
.L4:
	movl	-120(%rbp), %eax
	cmpl	-116(%rbp), %eax
	jle	.L5
	movl	-120(%rbp), %eax
	movl	%eax, -116(%rbp)
.L5:
	addl	$1, -124(%rbp)
.L2:
	movl	-124(%rbp), %eax
	cltq
	movzbl	-112(%rbp,%rax), %eax
	testb	%al, %al
	jne	.L6
	movl	$0, -124(%rbp)
	jmp	.L7
.L8:
	movl	$40, %edi
	call	putchar@PLT
	addl	$1, -124(%rbp)
.L7:
	movl	-124(%rbp), %eax
	cmpl	-116(%rbp), %eax
	jl	.L8
	leaq	-112(%rbp), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	printf@PLT
	movl	$0, -124(%rbp)
	jmp	.L9
.L10:
	movl	$41, %edi
	call	putchar@PLT
	addl	$1, -124(%rbp)
.L9:
	movl	-116(%rbp), %eax
	subl	-120(%rbp), %eax
	cmpl	%eax, -124(%rbp)
	jl	.L10
	movq	stdout(%rip), %rax
	movq	%rax, %rdi
	call	fflush@PLT
	movl	$0, %eax
	movq	-8(%rbp), %rdx
	subq	%fs:40, %rdx
	je	.L12
	call	__stack_chk_fail@PLT
.L12:
	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:
