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>

typedef enum { left, right } bool;


int trace(int N, int Q, char *s, char *s_t, bool *b_d, int origin, int static_origin, int dest, int l, int r)
{
    static int i;
    static int index;
    
    
    if(l > r)
    {
        return static_origin;
    }
    else
    {
        index = origin;
        
        
        for(i=0; i<Q && index >= 0 && index < N; i++)
        {
            if(s_t[i] == s[index])
            {
                if(b_d[i] == left)
                {
                    index--;
                }
                else
                {
                    index++;
                }
            }
        }
        
        if(index == dest)
        {
            static_origin = origin;
        }
        
        if((dest == N && index < N) || (dest == -1 && index < 0))
        {
            return trace(N, Q, s, s_t, b_d, origin+(r-origin+1)/2, static_origin, dest, origin+1, r);
        }
        else
        {
            return trace(N, Q, s, s_t, b_d, l+(origin-l)/2, static_origin, dest, l, origin-1);
        }
    }
}

int main(void)
{
    int N, Q;
    char *s, *s_t;
    bool *b_d;
    int i;
    char t, d, c;
    int sum;
    
    
    scanf("%d%c%d", &N, &c, &Q);
    
    s = (char*)malloc(sizeof(char)*(N+1));
    
    s_t = (char*)malloc(sizeof(char)*Q);
    b_d = (bool*)malloc(sizeof(bool)*Q);
    
    
    sum = N;
    
    
    scanf("%s\n", s);
    
    
    for(i=0; i<Q; i++)
    {
        scanf("%c%c%c%c", &t, &c, &d, &c);
        
        
        s_t[i] = t;
        
        if(d == 'L')
        {
            b_d[i] = left;
        }
        else
        {
            b_d[i] = right;
        }
    }
    
    
    sum -= N-trace(N, Q, s, s_t, b_d, N/2, N, N, 0, N-1);
    sum -= trace(N, Q, s, s_t, b_d, N/2, -1, -1, 0, N-1)+1;
    
    printf("%d\n", sum);
    
    
    free(s);
    free(s_t);
    free(b_d);
    
    
    //system("pause");
    
    
    return 0;
}
```

Unoptimized Assembly Code:

```assembly
	.file	"temp.c"
	.text
	.globl	trace
	.type	trace, @function
trace:
.LFB6:
	.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
	movl	%edi, -4(%rbp)
	movl	%esi, -8(%rbp)
	movq	%rdx, -16(%rbp)
	movq	%rcx, -24(%rbp)
	movq	%r8, -32(%rbp)
	movl	%r9d, -36(%rbp)
	movl	32(%rbp), %eax
	cmpl	40(%rbp), %eax
	jle	.L2
	movl	16(%rbp), %eax
	jmp	.L3
.L2:
	movl	-36(%rbp), %eax
	movl	%eax, index.1(%rip)
	movl	$0, i.0(%rip)
	jmp	.L4
.L8:
	movl	i.0(%rip), %eax
	movslq	%eax, %rdx
	movq	-24(%rbp), %rax
	addq	%rdx, %rax
	movzbl	(%rax), %edx
	movl	index.1(%rip), %eax
	movslq	%eax, %rcx
	movq	-16(%rbp), %rax
	addq	%rcx, %rax
	movzbl	(%rax), %eax
	cmpb	%al, %dl
	jne	.L5
	movl	i.0(%rip), %eax
	cltq
	leaq	0(,%rax,4), %rdx
	movq	-32(%rbp), %rax
	addq	%rdx, %rax
	movl	(%rax), %eax
	testl	%eax, %eax
	jne	.L6
	movl	index.1(%rip), %eax
	subl	$1, %eax
	movl	%eax, index.1(%rip)
	jmp	.L5
.L6:
	movl	index.1(%rip), %eax
	addl	$1, %eax
	movl	%eax, index.1(%rip)
.L5:
	movl	i.0(%rip), %eax
	addl	$1, %eax
	movl	%eax, i.0(%rip)
.L4:
	movl	i.0(%rip), %eax
	cmpl	%eax, -8(%rbp)
	jle	.L7
	movl	index.1(%rip), %eax
	testl	%eax, %eax
	js	.L7
	movl	index.1(%rip), %eax
	cmpl	%eax, -4(%rbp)
	jg	.L8
.L7:
	movl	index.1(%rip), %eax
	cmpl	%eax, 24(%rbp)
	jne	.L9
	movl	-36(%rbp), %eax
	movl	%eax, 16(%rbp)
.L9:
	movl	24(%rbp), %eax
	cmpl	-4(%rbp), %eax
	jne	.L10
	movl	index.1(%rip), %eax
	cmpl	%eax, -4(%rbp)
	jg	.L11
.L10:
	cmpl	$-1, 24(%rbp)
	jne	.L12
	movl	index.1(%rip), %eax
	testl	%eax, %eax
	jns	.L12
.L11:
	movl	-36(%rbp), %eax
	leal	1(%rax), %r8d
	movl	40(%rbp), %eax
	subl	-36(%rbp), %eax
	addl	$1, %eax
	movl	%eax, %edx
	shrl	$31, %edx
	addl	%edx, %eax
	sarl	%eax
	movl	%eax, %edx
	movl	-36(%rbp), %eax
	leal	(%rdx,%rax), %r9d
	movq	-32(%rbp), %r10
	movq	-24(%rbp), %rcx
	movq	-16(%rbp), %rdx
	movl	-8(%rbp), %esi
	movl	-4(%rbp), %eax
	movl	40(%rbp), %edi
	pushq	%rdi
	pushq	%r8
	movl	24(%rbp), %edi
	pushq	%rdi
	movl	16(%rbp), %edi
	pushq	%rdi
	movq	%r10, %r8
	movl	%eax, %edi
	call	trace
	addq	$32, %rsp
	jmp	.L3
.L12:
	movl	-36(%rbp), %eax
	leal	-1(%rax), %edi
	movl	-36(%rbp), %eax
	subl	32(%rbp), %eax
	movl	%eax, %edx
	shrl	$31, %edx
	addl	%edx, %eax
	sarl	%eax
	movl	%eax, %edx
	movl	32(%rbp), %eax
	leal	(%rdx,%rax), %r9d
	movq	-32(%rbp), %r8
	movq	-24(%rbp), %rcx
	movq	-16(%rbp), %rdx
	movl	-8(%rbp), %esi
	movl	-4(%rbp), %eax
	pushq	%rdi
	movl	32(%rbp), %edi
	pushq	%rdi
	movl	24(%rbp), %edi
	pushq	%rdi
	movl	16(%rbp), %edi
	pushq	%rdi
	movl	%eax, %edi
	call	trace
	addq	$32, %rsp
.L3:
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE6:
	.size	trace, .-trace
	.section	.rodata
.LC0:
	.string	"%d%c%d"
.LC1:
	.string	"%s\n"
.LC2:
	.string	"%c%c%c%c"
.LC3:
	.string	"%d\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
	pushq	%rbx
	subq	$72, %rsp
	.cfi_offset 3, -24
	movq	%fs:40, %rax
	movq	%rax, -24(%rbp)
	xorl	%eax, %eax
	leaq	-60(%rbp), %rcx
	leaq	-65(%rbp), %rdx
	leaq	-64(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movl	-64(%rbp), %eax
	addl	$1, %eax
	cltq
	movq	%rax, %rdi
	call	malloc@PLT
	movq	%rax, -48(%rbp)
	movl	-60(%rbp), %eax
	cltq
	movq	%rax, %rdi
	call	malloc@PLT
	movq	%rax, -40(%rbp)
	movl	-60(%rbp), %eax
	cltq
	salq	$2, %rax
	movq	%rax, %rdi
	call	malloc@PLT
	movq	%rax, -32(%rbp)
	movl	-64(%rbp), %eax
	movl	%eax, -52(%rbp)
	movq	-48(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC1(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movl	$0, -56(%rbp)
	jmp	.L14
.L17:
	leaq	-65(%rbp), %rsi
	leaq	-66(%rbp), %rcx
	leaq	-65(%rbp), %rdx
	leaq	-67(%rbp), %rax
	movq	%rsi, %r8
	movq	%rax, %rsi
	leaq	.LC2(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movl	-56(%rbp), %eax
	movslq	%eax, %rdx
	movq	-40(%rbp), %rax
	addq	%rax, %rdx
	movzbl	-67(%rbp), %eax
	movb	%al, (%rdx)
	movzbl	-66(%rbp), %eax
	cmpb	$76, %al
	jne	.L15
	movl	-56(%rbp), %eax
	cltq
	leaq	0(,%rax,4), %rdx
	movq	-32(%rbp), %rax
	addq	%rdx, %rax
	movl	$0, (%rax)
	jmp	.L16
.L15:
	movl	-56(%rbp), %eax
	cltq
	leaq	0(,%rax,4), %rdx
	movq	-32(%rbp), %rax
	addq	%rdx, %rax
	movl	$1, (%rax)
.L16:
	addl	$1, -56(%rbp)
.L14:
	movl	-60(%rbp), %eax
	cmpl	%eax, -56(%rbp)
	jl	.L17
	movl	-64(%rbp), %ebx
	movl	-64(%rbp), %eax
	leal	-1(%rax), %r9d
	movl	-64(%rbp), %r8d
	movl	-64(%rbp), %edi
	movl	-64(%rbp), %eax
	movl	%eax, %edx
	shrl	$31, %edx
	addl	%edx, %eax
	sarl	%eax
	movl	%eax, %r11d
	movl	-60(%rbp), %esi
	movl	-64(%rbp), %eax
	movq	-32(%rbp), %r10
	movq	-40(%rbp), %rcx
	movq	-48(%rbp), %rdx
	pushq	%r9
	pushq	$0
	pushq	%r8
	pushq	%rdi
	movl	%r11d, %r9d
	movq	%r10, %r8
	movl	%eax, %edi
	call	trace
	addq	$32, %rsp
	movl	%eax, %edx
	movl	%ebx, %eax
	subl	%edx, %eax
	subl	%eax, -52(%rbp)
	movl	-64(%rbp), %eax
	leal	-1(%rax), %edi
	movl	-64(%rbp), %eax
	movl	%eax, %edx
	shrl	$31, %edx
	addl	%edx, %eax
	sarl	%eax
	movl	%eax, %r9d
	movl	-60(%rbp), %esi
	movl	-64(%rbp), %eax
	movq	-32(%rbp), %r8
	movq	-40(%rbp), %rcx
	movq	-48(%rbp), %rdx
	pushq	%rdi
	pushq	$0
	pushq	$-1
	pushq	$-1
	movl	%eax, %edi
	call	trace
	addq	$32, %rsp
	addl	$1, %eax
	subl	%eax, -52(%rbp)
	movl	-52(%rbp), %eax
	movl	%eax, %esi
	leaq	.LC3(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	printf@PLT
	movq	-48(%rbp), %rax
	movq	%rax, %rdi
	call	free@PLT
	movq	-40(%rbp), %rax
	movq	%rax, %rdi
	call	free@PLT
	movq	-32(%rbp), %rax
	movq	%rax, %rdi
	call	free@PLT
	movl	$0, %eax
	movq	-24(%rbp), %rdx
	subq	%fs:40, %rdx
	je	.L19
	call	__stack_chk_fail@PLT
.L19:
	movq	-8(%rbp), %rbx
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE7:
	.size	main, .-main
	.local	index.1
	.comm	index.1,4,4
	.local	i.0
	.comm	i.0,4,4
	.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	trace
	.type	trace, @function
trace:
.LFB39:
	.cfi_startproc
	endbr64
	pushq	%r15
	.cfi_def_cfa_offset 16
	.cfi_offset 15, -16
	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
	movl	72(%rsp), %r13d
	movl	80(%rsp), %r15d
	movl	%esi, -8(%rsp)
	cmpl	%r15d, %r13d
	jg	.L29
	movq	%r8, %r12
	cmpl	64(%rsp), %edi
	movl	56(%rsp), %r14d
	movl	%edi, %r11d
	movslq	-8(%rsp), %r8
	movq	%rdx, %rbx
	movq	%rcx, %rbp
	sete	-1(%rsp)
	.p2align 4,,10
	.p2align 3
.L4:
	movl	-8(%rsp), %edx
	testl	%edx, %edx
	jle	.L5
	movl	%r9d, %ecx
	xorl	%edx, %edx
	jmp	.L6
	.p2align 4,,10
	.p2align 3
.L8:
	addq	$1, %rdx
	leal	1(%r10), %edi
	cmpq	%rdx, %r8
	je	.L17
.L6:
	movl	%ecx, %eax
	cmpl	%r11d, %ecx
	movl	%edx, %r10d
	movl	%edx, %edi
	notl	%eax
	setl	%sil
	shrl	$31, %eax
	andb	%sil, %al
	je	.L7
	movslq	%ecx, %rsi
	movzbl	(%rbx,%rsi), %edi
	cmpb	%dil, 0(%rbp,%rdx)
	jne	.L8
	movl	(%r12,%rdx,4), %eax
	testl	%eax, %eax
	jne	.L9
	subl	$1, %ecx
	leal	1(%r10), %edi
	cmpl	%r11d, %ecx
	setl	%al
	addq	$1, %rdx
	cmpq	%rdx, %r8
	jne	.L6
	.p2align 4,,10
	.p2align 3
.L17:
	movl	%eax, %esi
.L7:
	cmpl	%ecx, 64(%rsp)
	cmove	%r9d, %r14d
	cmpb	$0, -1(%rsp)
	je	.L18
	testb	%sil, %sil
	jne	.L12
.L18:
	cmpl	$-1, 64(%rsp)
	jne	.L14
	testl	%ecx, %ecx
	js	.L12
.L14:
	leal	-1(%r9), %r15d
	subl	%r13d, %r9d
	movl	%r9d, %eax
	shrl	$31, %eax
	addl	%r9d, %eax
	sarl	%eax
	leal	(%rax,%r13), %r9d
.L15:
	cmpl	%r15d, %r13d
	jle	.L4
	popq	%rbx
	.cfi_remember_state
	.cfi_def_cfa_offset 48
	movl	%r14d, %eax
	popq	%rbp
	.cfi_def_cfa_offset 40
	movl	%edi, i.0(%rip)
	popq	%r12
	.cfi_def_cfa_offset 32
	popq	%r13
	.cfi_def_cfa_offset 24
	movl	%ecx, index.1(%rip)
	popq	%r14
	.cfi_def_cfa_offset 16
	popq	%r15
	.cfi_def_cfa_offset 8
	ret
	.p2align 4,,10
	.p2align 3
.L9:
	.cfi_restore_state
	addl	$1, %ecx
	cmpl	%r11d, %ecx
	setl	%al
	jmp	.L8
	.p2align 4,,10
	.p2align 3
.L12:
	movl	%r15d, %edx
	leal	1(%r9), %r13d
	subl	%r9d, %edx
	addl	$1, %edx
	movl	%edx, %eax
	shrl	$31, %eax
	addl	%edx, %eax
	sarl	%eax
	addl	%eax, %r9d
	jmp	.L15
.L5:
	cmpl	%r9d, %r11d
	movl	%r9d, %ecx
	setg	%sil
	xorl	%edi, %edi
	jmp	.L7
.L29:
	movl	56(%rsp), %r14d
	popq	%rbx
	.cfi_def_cfa_offset 48
	popq	%rbp
	.cfi_def_cfa_offset 40
	popq	%r12
	.cfi_def_cfa_offset 32
	movl	%r14d, %eax
	popq	%r13
	.cfi_def_cfa_offset 24
	popq	%r14
	.cfi_def_cfa_offset 16
	popq	%r15
	.cfi_def_cfa_offset 8
	ret
	.cfi_endproc
.LFE39:
	.size	trace, .-trace
	.section	.rodata.str1.1,"aMS",@progbits,1
.LC0:
	.string	"%d%c%d"
.LC1:
	.string	"%s\n"
.LC2:
	.string	"%c%c%c%c"
.LC3:
	.string	"%d\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	.LC0(%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	$72, %rsp
	.cfi_def_cfa_offset 128
	movq	%fs:40, %rax
	movq	%rax, 56(%rsp)
	xorl	%eax, %eax
	leaq	47(%rsp), %r12
	leaq	52(%rsp), %rcx
	leaq	48(%rsp), %rsi
	movq	%r12, %rdx
	call	__isoc99_scanf@PLT
	movl	48(%rsp), %eax
	leal	1(%rax), %edi
	movl	%eax, 20(%rsp)
	movslq	%edi, %rdi
	call	malloc@PLT
	movslq	52(%rsp), %rbx
	movq	%rax, %r14
	movq	%rax, 24(%rsp)
	movq	%rbx, %rdi
	call	malloc@PLT
	leaq	0(,%rbx,4), %rdi
	movq	%rax, %rbp
	call	malloc@PLT
	movq	%r14, %rsi
	leaq	.LC1(%rip), %rdi
	movq	%rax, 8(%rsp)
	xorl	%eax, %eax
	call	__isoc99_scanf@PLT
	movl	52(%rsp), %esi
	testl	%esi, %esi
	jle	.L31
	xorl	%r15d, %r15d
	leaq	46(%rsp), %r14
	leaq	45(%rsp), %r13
	leaq	.LC2(%rip), %rbx
	.p2align 4,,10
	.p2align 3
.L34:
	xorl	%eax, %eax
	movq	%r12, %r8
	movq	%r14, %rcx
	movq	%r12, %rdx
	movq	%r13, %rsi
	movq	%rbx, %rdi
	call	__isoc99_scanf@PLT
	movzbl	45(%rsp), %eax
	cmpb	$76, 46(%rsp)
	movb	%al, 0(%rbp,%r15)
	movq	8(%rsp), %rax
	je	.L32
	movl	52(%rsp), %esi
	movl	$1, (%rax,%r15,4)
	addq	$1, %r15
	cmpl	%r15d, %esi
	jg	.L34
.L31:
	movl	48(%rsp), %ebx
	movq	%rbp, %rcx
	leal	-1(%rbx), %eax
	movl	%ebx, %r9d
	movl	%ebx, %edi
	pushq	%rax
	.cfi_def_cfa_offset 136
	shrl	$31, %r9d
	pushq	$0
	.cfi_def_cfa_offset 144
	addl	%ebx, %r9d
	pushq	%rbx
	.cfi_def_cfa_offset 152
	sarl	%r9d
	pushq	%rbx
	.cfi_def_cfa_offset 160
	movq	40(%rsp), %r15
	movq	56(%rsp), %r14
	movq	%r15, %r8
	movq	%r14, %rdx
	call	trace
	movl	80(%rsp), %edi
	movq	%r15, %r8
	movq	%rbp, %rcx
	movl	52(%rsp), %r13d
	subl	%eax, %ebx
	addq	$32, %rsp
	.cfi_def_cfa_offset 128
	movq	%r14, %rdx
	movl	%edi, %r9d
	leal	-1(%rdi), %eax
	pushq	%rax
	.cfi_def_cfa_offset 136
	shrl	$31, %r9d
	subl	%ebx, %r13d
	pushq	$0
	.cfi_def_cfa_offset 144
	addl	%edi, %r9d
	pushq	$-1
	.cfi_def_cfa_offset 152
	sarl	%r9d
	pushq	$-1
	.cfi_def_cfa_offset 160
	movl	84(%rsp), %esi
	call	trace
	movl	%r13d, %edx
	addq	$32, %rsp
	.cfi_def_cfa_offset 128
	leaq	.LC3(%rip), %rsi
	addl	$1, %eax
	movl	$1, %edi
	subl	%eax, %edx
	xorl	%eax, %eax
	call	__printf_chk@PLT
	movq	%r14, %rdi
	call	free@PLT
	movq	%rbp, %rdi
	call	free@PLT
	movq	%r15, %rdi
	call	free@PLT
	movq	56(%rsp), %rax
	subq	%fs:40, %rax
	jne	.L37
	addq	$72, %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
	.p2align 4,,10
	.p2align 3
.L32:
	.cfi_restore_state
	movl	52(%rsp), %esi
	movl	$0, (%rax,%r15,4)
	addq	$1, %r15
	cmpl	%r15d, %esi
	jg	.L34
	jmp	.L31
.L37:
	call	__stack_chk_fail@PLT
	.cfi_endproc
.LFE40:
	.size	main, .-main
	.local	i.0
	.comm	i.0,4,4
	.local	index.1
	.comm	index.1,4,4
	.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	trace
	.type	trace, @function
trace:
.LFB39:
	.cfi_startproc
	endbr64
	pushq	%r15
	.cfi_def_cfa_offset 16
	.cfi_offset 15, -16
	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
	movl	72(%rsp), %r13d
	movl	80(%rsp), %r15d
	movl	%esi, -8(%rsp)
	cmpl	%r15d, %r13d
	jg	.L29
	movq	%r8, %r12
	cmpl	64(%rsp), %edi
	movl	56(%rsp), %r14d
	movl	%edi, %r11d
	movslq	-8(%rsp), %r8
	movq	%rdx, %rbx
	movq	%rcx, %rbp
	sete	-1(%rsp)
	.p2align 4,,10
	.p2align 3
.L4:
	movl	-8(%rsp), %edx
	testl	%edx, %edx
	jle	.L5
	movl	%r9d, %ecx
	xorl	%edx, %edx
	jmp	.L6
	.p2align 4,,10
	.p2align 3
.L8:
	addq	$1, %rdx
	leal	1(%r10), %edi
	cmpq	%rdx, %r8
	je	.L17
.L6:
	movl	%ecx, %eax
	cmpl	%r11d, %ecx
	movl	%edx, %r10d
	movl	%edx, %edi
	notl	%eax
	setl	%sil
	shrl	$31, %eax
	andb	%sil, %al
	je	.L7
	movslq	%ecx, %rsi
	movzbl	(%rbx,%rsi), %edi
	cmpb	%dil, 0(%rbp,%rdx)
	jne	.L8
	movl	(%r12,%rdx,4), %eax
	testl	%eax, %eax
	jne	.L9
	subl	$1, %ecx
	leal	1(%r10), %edi
	cmpl	%r11d, %ecx
	setl	%al
	addq	$1, %rdx
	cmpq	%rdx, %r8
	jne	.L6
	.p2align 4,,10
	.p2align 3
.L17:
	movl	%eax, %esi
.L7:
	cmpl	%ecx, 64(%rsp)
	cmove	%r9d, %r14d
	cmpb	$0, -1(%rsp)
	je	.L18
	testb	%sil, %sil
	jne	.L12
.L18:
	cmpl	$-1, 64(%rsp)
	jne	.L14
	testl	%ecx, %ecx
	js	.L12
.L14:
	leal	-1(%r9), %r15d
	subl	%r13d, %r9d
	movl	%r9d, %eax
	shrl	$31, %eax
	addl	%r9d, %eax
	sarl	%eax
	leal	(%rax,%r13), %r9d
.L15:
	cmpl	%r15d, %r13d
	jle	.L4
	popq	%rbx
	.cfi_remember_state
	.cfi_def_cfa_offset 48
	movl	%r14d, %eax
	popq	%rbp
	.cfi_def_cfa_offset 40
	movl	%edi, i.0(%rip)
	popq	%r12
	.cfi_def_cfa_offset 32
	popq	%r13
	.cfi_def_cfa_offset 24
	movl	%ecx, index.1(%rip)
	popq	%r14
	.cfi_def_cfa_offset 16
	popq	%r15
	.cfi_def_cfa_offset 8
	ret
	.p2align 4,,10
	.p2align 3
.L9:
	.cfi_restore_state
	addl	$1, %ecx
	cmpl	%r11d, %ecx
	setl	%al
	jmp	.L8
	.p2align 4,,10
	.p2align 3
.L12:
	movl	%r15d, %edx
	leal	1(%r9), %r13d
	subl	%r9d, %edx
	addl	$1, %edx
	movl	%edx, %eax
	shrl	$31, %eax
	addl	%edx, %eax
	sarl	%eax
	addl	%eax, %r9d
	jmp	.L15
.L5:
	cmpl	%r9d, %r11d
	movl	%r9d, %ecx
	setg	%sil
	xorl	%edi, %edi
	jmp	.L7
.L29:
	movl	56(%rsp), %r14d
	popq	%rbx
	.cfi_def_cfa_offset 48
	popq	%rbp
	.cfi_def_cfa_offset 40
	popq	%r12
	.cfi_def_cfa_offset 32
	movl	%r14d, %eax
	popq	%r13
	.cfi_def_cfa_offset 24
	popq	%r14
	.cfi_def_cfa_offset 16
	popq	%r15
	.cfi_def_cfa_offset 8
	ret
	.cfi_endproc
.LFE39:
	.size	trace, .-trace
	.section	.rodata.str1.1,"aMS",@progbits,1
.LC0:
	.string	"%d%c%d"
.LC1:
	.string	"%s\n"
.LC2:
	.string	"%c%c%c%c"
.LC3:
	.string	"%d\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	.LC0(%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	$72, %rsp
	.cfi_def_cfa_offset 128
	movq	%fs:40, %rax
	movq	%rax, 56(%rsp)
	xorl	%eax, %eax
	leaq	47(%rsp), %r12
	leaq	52(%rsp), %rcx
	leaq	48(%rsp), %rsi
	movq	%r12, %rdx
	call	__isoc99_scanf@PLT
	movl	48(%rsp), %eax
	leal	1(%rax), %edi
	movl	%eax, 20(%rsp)
	movslq	%edi, %rdi
	call	malloc@PLT
	movslq	52(%rsp), %rbx
	movq	%rax, %r14
	movq	%rax, 24(%rsp)
	movq	%rbx, %rdi
	call	malloc@PLT
	leaq	0(,%rbx,4), %rdi
	movq	%rax, %rbp
	call	malloc@PLT
	movq	%r14, %rsi
	leaq	.LC1(%rip), %rdi
	movq	%rax, 8(%rsp)
	xorl	%eax, %eax
	call	__isoc99_scanf@PLT
	movl	52(%rsp), %esi
	testl	%esi, %esi
	jle	.L31
	xorl	%r15d, %r15d
	leaq	46(%rsp), %r14
	leaq	45(%rsp), %r13
	leaq	.LC2(%rip), %rbx
	.p2align 4,,10
	.p2align 3
.L34:
	xorl	%eax, %eax
	movq	%r12, %r8
	movq	%r14, %rcx
	movq	%r12, %rdx
	movq	%r13, %rsi
	movq	%rbx, %rdi
	call	__isoc99_scanf@PLT
	movzbl	45(%rsp), %eax
	cmpb	$76, 46(%rsp)
	movb	%al, 0(%rbp,%r15)
	movq	8(%rsp), %rax
	je	.L32
	movl	52(%rsp), %esi
	movl	$1, (%rax,%r15,4)
	addq	$1, %r15
	cmpl	%r15d, %esi
	jg	.L34
.L31:
	movl	48(%rsp), %ebx
	movq	%rbp, %rcx
	leal	-1(%rbx), %eax
	movl	%ebx, %r9d
	movl	%ebx, %edi
	pushq	%rax
	.cfi_def_cfa_offset 136
	shrl	$31, %r9d
	pushq	$0
	.cfi_def_cfa_offset 144
	addl	%ebx, %r9d
	pushq	%rbx
	.cfi_def_cfa_offset 152
	sarl	%r9d
	pushq	%rbx
	.cfi_def_cfa_offset 160
	movq	40(%rsp), %r15
	movq	56(%rsp), %r14
	movq	%r15, %r8
	movq	%r14, %rdx
	call	trace
	movl	80(%rsp), %edi
	movq	%r15, %r8
	movq	%rbp, %rcx
	movl	52(%rsp), %r13d
	subl	%eax, %ebx
	addq	$32, %rsp
	.cfi_def_cfa_offset 128
	movq	%r14, %rdx
	movl	%edi, %r9d
	leal	-1(%rdi), %eax
	pushq	%rax
	.cfi_def_cfa_offset 136
	shrl	$31, %r9d
	subl	%ebx, %r13d
	pushq	$0
	.cfi_def_cfa_offset 144
	addl	%edi, %r9d
	pushq	$-1
	.cfi_def_cfa_offset 152
	sarl	%r9d
	pushq	$-1
	.cfi_def_cfa_offset 160
	movl	84(%rsp), %esi
	call	trace
	movl	%r13d, %edx
	addq	$32, %rsp
	.cfi_def_cfa_offset 128
	leaq	.LC3(%rip), %rsi
	addl	$1, %eax
	movl	$1, %edi
	subl	%eax, %edx
	xorl	%eax, %eax
	call	__printf_chk@PLT
	movq	%r14, %rdi
	call	free@PLT
	movq	%rbp, %rdi
	call	free@PLT
	movq	%r15, %rdi
	call	free@PLT
	movq	56(%rsp), %rax
	subq	%fs:40, %rax
	jne	.L37
	addq	$72, %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
	.p2align 4,,10
	.p2align 3
.L32:
	.cfi_restore_state
	movl	52(%rsp), %esi
	movl	$0, (%rax,%r15,4)
	addq	$1, %r15
	cmpl	%r15d, %esi
	jg	.L34
	jmp	.L31
.L37:
	call	__stack_chk_fail@PLT
	.cfi_endproc
.LFE40:
	.size	main, .-main
	.local	i.0
	.comm	i.0,4,4
	.local	index.1
	.comm	index.1,4,4
	.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>

typedef enum { left, right } bool;


int trace(int N, int Q, char *s, char *s_t, bool *b_d, int origin, int static_origin, int dest, int l, int r)
{
    static int i;
    static int index;
    
    
    if(l > r)
    {
        return static_origin;
    }
    else
    {
        index = origin;
        
        
        for(i=0; i<Q && index >= 0 && index < N; i++)
        {
            if(s_t[i] == s[index])
            {
                if(b_d[i] == left)
                {
                    index--;
                }
                else
                {
                    index++;
                }
            }
        }
        
        if(index == dest)
        {
            static_origin = origin;
        }
        
        if((dest == N && index < N) || (dest == -1 && index < 0))
        {
            return trace(N, Q, s, s_t, b_d, origin+(r-origin+1)/2, static_origin, dest, origin+1, r);
        }
        else
        {
            return trace(N, Q, s, s_t, b_d, l+(origin-l)/2, static_origin, dest, l, origin-1);
        }
    }
}

int main(void)
{
    int N, Q;
    char *s, *s_t;
    bool *b_d;
    int i;
    char t, d, c;
    int sum;
    
    
    scanf("%d%c%d", &N, &c, &Q);
    
    s = (char*)malloc(sizeof(char)*(N+1));
    
    s_t = (char*)malloc(sizeof(char)*Q);
    b_d = (bool*)malloc(sizeof(bool)*Q);
    
    
    sum = N;
    
    
    scanf("%s\n", s);
    
    
    for(i=0; i<Q; i++)
    {
        scanf("%c%c%c%c", &t, &c, &d, &c);
        
        
        s_t[i] = t;
        
        if(d == 'L')
        {
            b_d[i] = left;
        }
        else
        {
            b_d[i] = right;
        }
    }
    
    
    sum -= N-trace(N, Q, s, s_t, b_d, N/2, N, N, 0, N-1);
    sum -= trace(N, Q, s, s_t, b_d, N/2, -1, -1, 0, N-1)+1;
    
    printf("%d\n", sum);
    
    
    free(s);
    free(s_t);
    free(b_d);
    
    
    //system("pause");
    
    
    return 0;
}

10 15
SNCZWRCEWB
B R
R R
E R
W R
Z L
S R
Q L
W L
B R
C L
A L
N L
E R
Z L
R L
 3 4
ACB
A L
B L
B R
A R
 8 3
AABBBDBA
A L
B R
A R
 3 3
ACB
B L
B L
A R
@ S
 3 3
BCA
B L
B L
A R
@ S
 8 0
AABCBDBA
A L
B R
@ S
 8 3
AABCBDBA
C L
B R
A R
 10 15
BWECRWZCNS
B R
R R
E R
W R
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S R
Q L
W L
B R
C L
A L
N L
E R
Z L
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 10 0
SNCZWRCEWB
B R
R R
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Z L
S R
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W L
B R
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N L
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 3 4
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A L
C L
B R
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7
 2
 5
 3
 1
 8
 6
 9
 10
 0

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>

typedef enum { left, right } bool;


int trace(int N, int Q, char *s, char *s_t, bool *b_d, int origin, int static_origin, int dest, int l, int r)
{
    static int i;
    static int index;
    
    
    if(l > r)
    {
        return static_origin;
    }
    else
    {
        index = origin;
        
        
        for(i=0; i<Q && index >= 0 && index < N; i++)
        {
            if(s_t[i] == s[index])
            {
                if(b_d[i] == left)
                {
                    index--;
                }
                else
                {
                    index++;
                }
            }
        }
        
        if(index == dest)
        {
            static_origin = origin;
        }
        
        if((dest == N && index < N) || (dest == -1 && index < 0))
        {
            return trace(N, Q, s, s_t, b_d, origin+(r-origin+1)/2, static_origin, dest, origin+1, r);
        }
        else
        {
            return trace(N, Q, s, s_t, b_d, l+(origin-l)/2, static_origin, dest, l, origin-1);
        }
    }
}

int main(void)
{
    int N, Q;
    char *s, *s_t;
    bool *b_d;
    int i;
    char t, d, c;
    int sum;
    
    
    scanf("%d%c%d", &N, &c, &Q);
    
    s = (char*)malloc(sizeof(char)*(N+1));
    
    s_t = (char*)malloc(sizeof(char)*Q);
    b_d = (bool*)malloc(sizeof(bool)*Q);
    
    
    sum = N;
    
    
    scanf("%s\n", s);
    
    
    for(i=0; i<Q; i++)
    {
        scanf("%c%c%c%c", &t, &c, &d, &c);
        
        
        s_t[i] = t;
        
        if(d == 'L')
        {
            b_d[i] = left;
        }
        else
        {
            b_d[i] = right;
        }
    }
    
    
    sum -= N-trace(N, Q, s, s_t, b_d, N/2, N, N, 0, N-1);
    sum -= trace(N, Q, s, s_t, b_d, N/2, -1, -1, 0, N-1)+1;
    
    printf("%d\n", sum);
    
    
    free(s);
    free(s_t);
    free(b_d);
    
    
    //system("pause");
    
    
    return 0;
}
```

Unoptimized Assembly Code:

```assembly
	.file	"temp.c"
	.text
	.globl	trace
	.type	trace, @function
trace:
.LFB6:
	.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
	movl	%edi, -4(%rbp)
	movl	%esi, -8(%rbp)
	movq	%rdx, -16(%rbp)
	movq	%rcx, -24(%rbp)
	movq	%r8, -32(%rbp)
	movl	%r9d, -36(%rbp)
	movl	32(%rbp), %eax
	cmpl	40(%rbp), %eax
	jle	.L2
	movl	16(%rbp), %eax
	jmp	.L3
.L2:
	movl	-36(%rbp), %eax
	movl	%eax, index.1(%rip)
	movl	$0, i.0(%rip)
	jmp	.L4
.L8:
	movl	i.0(%rip), %eax
	movslq	%eax, %rdx
	movq	-24(%rbp), %rax
	addq	%rdx, %rax
	movzbl	(%rax), %edx
	movl	index.1(%rip), %eax
	movslq	%eax, %rcx
	movq	-16(%rbp), %rax
	addq	%rcx, %rax
	movzbl	(%rax), %eax
	cmpb	%al, %dl
	jne	.L5
	movl	i.0(%rip), %eax
	cltq
	leaq	0(,%rax,4), %rdx
	movq	-32(%rbp), %rax
	addq	%rdx, %rax
	movl	(%rax), %eax
	testl	%eax, %eax
	jne	.L6
	movl	index.1(%rip), %eax
	subl	$1, %eax
	movl	%eax, index.1(%rip)
	jmp	.L5
.L6:
	movl	index.1(%rip), %eax
	addl	$1, %eax
	movl	%eax, index.1(%rip)
.L5:
	movl	i.0(%rip), %eax
	addl	$1, %eax
	movl	%eax, i.0(%rip)
.L4:
	movl	i.0(%rip), %eax
	cmpl	%eax, -8(%rbp)
	jle	.L7
	movl	index.1(%rip), %eax
	testl	%eax, %eax
	js	.L7
	movl	index.1(%rip), %eax
	cmpl	%eax, -4(%rbp)
	jg	.L8
.L7:
	movl	index.1(%rip), %eax
	cmpl	%eax, 24(%rbp)
	jne	.L9
	movl	-36(%rbp), %eax
	movl	%eax, 16(%rbp)
.L9:
	movl	24(%rbp), %eax
	cmpl	-4(%rbp), %eax
	jne	.L10
	movl	index.1(%rip), %eax
	cmpl	%eax, -4(%rbp)
	jg	.L11
.L10:
	cmpl	$-1, 24(%rbp)
	jne	.L12
	movl	index.1(%rip), %eax
	testl	%eax, %eax
	jns	.L12
.L11:
	movl	-36(%rbp), %eax
	leal	1(%rax), %r8d
	movl	40(%rbp), %eax
	subl	-36(%rbp), %eax
	addl	$1, %eax
	movl	%eax, %edx
	shrl	$31, %edx
	addl	%edx, %eax
	sarl	%eax
	movl	%eax, %edx
	movl	-36(%rbp), %eax
	leal	(%rdx,%rax), %r9d
	movq	-32(%rbp), %r10
	movq	-24(%rbp), %rcx
	movq	-16(%rbp), %rdx
	movl	-8(%rbp), %esi
	movl	-4(%rbp), %eax
	movl	40(%rbp), %edi
	pushq	%rdi
	pushq	%r8
	movl	24(%rbp), %edi
	pushq	%rdi
	movl	16(%rbp), %edi
	pushq	%rdi
	movq	%r10, %r8
	movl	%eax, %edi
	call	trace
	addq	$32, %rsp
	jmp	.L3
.L12:
	movl	-36(%rbp), %eax
	leal	-1(%rax), %edi
	movl	-36(%rbp), %eax
	subl	32(%rbp), %eax
	movl	%eax, %edx
	shrl	$31, %edx
	addl	%edx, %eax
	sarl	%eax
	movl	%eax, %edx
	movl	32(%rbp), %eax
	leal	(%rdx,%rax), %r9d
	movq	-32(%rbp), %r8
	movq	-24(%rbp), %rcx
	movq	-16(%rbp), %rdx
	movl	-8(%rbp), %esi
	movl	-4(%rbp), %eax
	pushq	%rdi
	movl	32(%rbp), %edi
	pushq	%rdi
	movl	24(%rbp), %edi
	pushq	%rdi
	movl	16(%rbp), %edi
	pushq	%rdi
	movl	%eax, %edi
	call	trace
	addq	$32, %rsp
.L3:
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE6:
	.size	trace, .-trace
	.section	.rodata
.LC0:
	.string	"%d%c%d"
.LC1:
	.string	"%s\n"
.LC2:
	.string	"%c%c%c%c"
.LC3:
	.string	"%d\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
	pushq	%rbx
	subq	$72, %rsp
	.cfi_offset 3, -24
	movq	%fs:40, %rax
	movq	%rax, -24(%rbp)
	xorl	%eax, %eax
	leaq	-60(%rbp), %rcx
	leaq	-65(%rbp), %rdx
	leaq	-64(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movl	-64(%rbp), %eax
	addl	$1, %eax
	cltq
	movq	%rax, %rdi
	call	malloc@PLT
	movq	%rax, -48(%rbp)
	movl	-60(%rbp), %eax
	cltq
	movq	%rax, %rdi
	call	malloc@PLT
	movq	%rax, -40(%rbp)
	movl	-60(%rbp), %eax
	cltq
	salq	$2, %rax
	movq	%rax, %rdi
	call	malloc@PLT
	movq	%rax, -32(%rbp)
	movl	-64(%rbp), %eax
	movl	%eax, -52(%rbp)
	movq	-48(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC1(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movl	$0, -56(%rbp)
	jmp	.L14
.L17:
	leaq	-65(%rbp), %rsi
	leaq	-66(%rbp), %rcx
	leaq	-65(%rbp), %rdx
	leaq	-67(%rbp), %rax
	movq	%rsi, %r8
	movq	%rax, %rsi
	leaq	.LC2(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movl	-56(%rbp), %eax
	movslq	%eax, %rdx
	movq	-40(%rbp), %rax
	addq	%rax, %rdx
	movzbl	-67(%rbp), %eax
	movb	%al, (%rdx)
	movzbl	-66(%rbp), %eax
	cmpb	$76, %al
	jne	.L15
	movl	-56(%rbp), %eax
	cltq
	leaq	0(,%rax,4), %rdx
	movq	-32(%rbp), %rax
	addq	%rdx, %rax
	movl	$0, (%rax)
	jmp	.L16
.L15:
	movl	-56(%rbp), %eax
	cltq
	leaq	0(,%rax,4), %rdx
	movq	-32(%rbp), %rax
	addq	%rdx, %rax
	movl	$1, (%rax)
.L16:
	addl	$1, -56(%rbp)
.L14:
	movl	-60(%rbp), %eax
	cmpl	%eax, -56(%rbp)
	jl	.L17
	movl	-64(%rbp), %ebx
	movl	-64(%rbp), %eax
	leal	-1(%rax), %r9d
	movl	-64(%rbp), %r8d
	movl	-64(%rbp), %edi
	movl	-64(%rbp), %eax
	movl	%eax, %edx
	shrl	$31, %edx
	addl	%edx, %eax
	sarl	%eax
	movl	%eax, %r11d
	movl	-60(%rbp), %esi
	movl	-64(%rbp), %eax
	movq	-32(%rbp), %r10
	movq	-40(%rbp), %rcx
	movq	-48(%rbp), %rdx
	pushq	%r9
	pushq	$0
	pushq	%r8
	pushq	%rdi
	movl	%r11d, %r9d
	movq	%r10, %r8
	movl	%eax, %edi
	call	trace
	addq	$32, %rsp
	movl	%eax, %edx
	movl	%ebx, %eax
	subl	%edx, %eax
	subl	%eax, -52(%rbp)
	movl	-64(%rbp), %eax
	leal	-1(%rax), %edi
	movl	-64(%rbp), %eax
	movl	%eax, %edx
	shrl	$31, %edx
	addl	%edx, %eax
	sarl	%eax
	movl	%eax, %r9d
	movl	-60(%rbp), %esi
	movl	-64(%rbp), %eax
	movq	-32(%rbp), %r8
	movq	-40(%rbp), %rcx
	movq	-48(%rbp), %rdx
	pushq	%rdi
	pushq	$0
	pushq	$-1
	pushq	$-1
	movl	%eax, %edi
	call	trace
	addq	$32, %rsp
	addl	$1, %eax
	subl	%eax, -52(%rbp)
	movl	-52(%rbp), %eax
	movl	%eax, %esi
	leaq	.LC3(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	printf@PLT
	movq	-48(%rbp), %rax
	movq	%rax, %rdi
	call	free@PLT
	movq	-40(%rbp), %rax
	movq	%rax, %rdi
	call	free@PLT
	movq	-32(%rbp), %rax
	movq	%rax, %rdi
	call	free@PLT
	movl	$0, %eax
	movq	-24(%rbp), %rdx
	subq	%fs:40, %rdx
	je	.L19
	call	__stack_chk_fail@PLT
.L19:
	movq	-8(%rbp), %rbx
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE7:
	.size	main, .-main
	.local	index.1
	.comm	index.1,4,4
	.local	i.0
	.comm	i.0,4,4
	.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	trace
	.type	trace, @function
trace:
.LFB6:
	.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
	movl	%edi, -4(%rbp)
	movl	%esi, -8(%rbp)
	movq	%rdx, -16(%rbp)
	movq	%rcx, -24(%rbp)
	movq	%r8, -32(%rbp)
	movl	%r9d, -36(%rbp)
	movl	32(%rbp), %eax
	cmpl	40(%rbp), %eax
	jle	.L2
	movl	16(%rbp), %eax
	jmp	.L3
.L2:
	movl	-36(%rbp), %eax
	movl	%eax, index.1(%rip)
	movl	$0, i.0(%rip)
	jmp	.L4
.L8:
	movl	i.0(%rip), %eax
	movslq	%eax, %rdx
	movq	-24(%rbp), %rax
	addq	%rdx, %rax
	movzbl	(%rax), %edx
	movl	index.1(%rip), %eax
	movslq	%eax, %rcx
	movq	-16(%rbp), %rax
	addq	%rcx, %rax
	movzbl	(%rax), %eax
	cmpb	%al, %dl
	jne	.L5
	movl	i.0(%rip), %eax
	cltq
	leaq	0(,%rax,4), %rdx
	movq	-32(%rbp), %rax
	addq	%rdx, %rax
	movl	(%rax), %eax
	testl	%eax, %eax
	jne	.L6
	movl	index.1(%rip), %eax
	subl	$1, %eax
	movl	%eax, index.1(%rip)
	jmp	.L5
.L6:
	movl	index.1(%rip), %eax
	addl	$1, %eax
	movl	%eax, index.1(%rip)
.L5:
	movl	i.0(%rip), %eax
	addl	$1, %eax
	movl	%eax, i.0(%rip)
.L4:
	movl	i.0(%rip), %eax
	cmpl	%eax, -8(%rbp)
	jle	.L7
	movl	index.1(%rip), %eax
	testl	%eax, %eax
	js	.L7
	movl	index.1(%rip), %eax
	cmpl	%eax, -4(%rbp)
	jg	.L8
.L7:
	movl	index.1(%rip), %eax
	cmpl	%eax, 24(%rbp)
	jne	.L9
	movl	-36(%rbp), %eax
	movl	%eax, 16(%rbp)
.L9:
	movl	24(%rbp), %eax
	cmpl	-4(%rbp), %eax
	jne	.L10
	movl	index.1(%rip), %eax
	cmpl	%eax, -4(%rbp)
	jg	.L11
.L10:
	cmpl	$-1, 24(%rbp)
	jne	.L12
	movl	index.1(%rip), %eax
	testl	%eax, %eax
	jns	.L12
.L11:
	movl	-36(%rbp), %eax
	leal	1(%rax), %r8d
	movl	40(%rbp), %eax
	subl	-36(%rbp), %eax
	addl	$1, %eax
	movl	%eax, %edx
	shrl	$31, %edx
	addl	%edx, %eax
	sarl	%eax
	movl	%eax, %edx
	movl	-36(%rbp), %eax
	leal	(%rdx,%rax), %r9d
	movq	-32(%rbp), %r10
	movq	-24(%rbp), %rcx
	movq	-16(%rbp), %rdx
	movl	-8(%rbp), %esi
	movl	-4(%rbp), %eax
	movl	40(%rbp), %edi
	pushq	%rdi
	pushq	%r8
	movl	24(%rbp), %edi
	pushq	%rdi
	movl	16(%rbp), %edi
	pushq	%rdi
	movq	%r10, %r8
	movl	%eax, %edi
	call	trace
	addq	$32, %rsp
	jmp	.L3
.L12:
	movl	-36(%rbp), %eax
	leal	-1(%rax), %edi
	movl	-36(%rbp), %eax
	subl	32(%rbp), %eax
	movl	%eax, %edx
	shrl	$31, %edx
	addl	%edx, %eax
	sarl	%eax
	movl	%eax, %edx
	movl	32(%rbp), %eax
	leal	(%rdx,%rax), %r9d
	movq	-32(%rbp), %r8
	movq	-24(%rbp), %rcx
	movq	-16(%rbp), %rdx
	movl	-8(%rbp), %esi
	movl	-4(%rbp), %eax
	pushq	%rdi
	movl	32(%rbp), %edi
	pushq	%rdi
	movl	24(%rbp), %edi
	pushq	%rdi
	movl	16(%rbp), %edi
	pushq	%rdi
	movl	%eax, %edi
	call	trace
	addq	$32, %rsp
.L3:
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE6:
	.size	trace, .-trace
	.section	.rodata
.LC0:
	.string	"%d%c%d"
.LC1:
	.string	"%s\n"
.LC2:
	.string	"%c%c%c%c"
.LC3:
	.string	"%d\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
	pushq	%rbx
	subq	$72, %rsp
	.cfi_offset 3, -24
	movq	%fs:40, %rax
	movq	%rax, -24(%rbp)
	xorl	%eax, %eax
	leaq	-60(%rbp), %rcx
	leaq	-65(%rbp), %rdx
	leaq	-64(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movl	-64(%rbp), %eax
	addl	$1, %eax
	cltq
	movq	%rax, %rdi
	call	malloc@PLT
	movq	%rax, -48(%rbp)
	movl	-60(%rbp), %eax
	cltq
	movq	%rax, %rdi
	call	malloc@PLT
	movq	%rax, -40(%rbp)
	movl	-60(%rbp), %eax
	cltq
	salq	$2, %rax
	movq	%rax, %rdi
	call	malloc@PLT
	movq	%rax, -32(%rbp)
	movl	-64(%rbp), %eax
	movl	%eax, -52(%rbp)
	movq	-48(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC1(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movl	$0, -56(%rbp)
	jmp	.L14
.L17:
	leaq	-65(%rbp), %rsi
	leaq	-66(%rbp), %rcx
	leaq	-65(%rbp), %rdx
	leaq	-67(%rbp), %rax
	movq	%rsi, %r8
	movq	%rax, %rsi
	leaq	.LC2(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movl	-56(%rbp), %eax
	movslq	%eax, %rdx
	movq	-40(%rbp), %rax
	addq	%rax, %rdx
	movzbl	-67(%rbp), %eax
	movb	%al, (%rdx)
	movzbl	-66(%rbp), %eax
	cmpb	$76, %al
	jne	.L15
	movl	-56(%rbp), %eax
	cltq
	leaq	0(,%rax,4), %rdx
	movq	-32(%rbp), %rax
	addq	%rdx, %rax
	movl	$0, (%rax)
	jmp	.L16
.L15:
	movl	-56(%rbp), %eax
	cltq
	leaq	0(,%rax,4), %rdx
	movq	-32(%rbp), %rax
	addq	%rdx, %rax
	movl	$1, (%rax)
.L16:
	addl	$1, -56(%rbp)
.L14:
	movl	-60(%rbp), %eax
	cmpl	%eax, -56(%rbp)
	jl	.L17
	movl	-64(%rbp), %ebx
	movl	-64(%rbp), %eax
	leal	-1(%rax), %r9d
	movl	-64(%rbp), %r8d
	movl	-64(%rbp), %edi
	movl	-64(%rbp), %eax
	movl	%eax, %edx
	shrl	$31, %edx
	addl	%edx, %eax
	sarl	%eax
	movl	%eax, %r11d
	movl	-60(%rbp), %esi
	movl	-64(%rbp), %eax
	movq	-32(%rbp), %r10
	movq	-40(%rbp), %rcx
	movq	-48(%rbp), %rdx
	pushq	%r9
	pushq	$0
	pushq	%r8
	pushq	%rdi
	movl	%r11d, %r9d
	movq	%r10, %r8
	movl	%eax, %edi
	call	trace
	addq	$32, %rsp
	movl	%eax, %edx
	movl	%ebx, %eax
	subl	%edx, %eax
	subl	%eax, -52(%rbp)
	movl	-64(%rbp), %eax
	leal	-1(%rax), %edi
	movl	-64(%rbp), %eax
	movl	%eax, %edx
	shrl	$31, %edx
	addl	%edx, %eax
	sarl	%eax
	movl	%eax, %r9d
	movl	-60(%rbp), %esi
	movl	-64(%rbp), %eax
	movq	-32(%rbp), %r8
	movq	-40(%rbp), %rcx
	movq	-48(%rbp), %rdx
	pushq	%rdi
	pushq	$0
	pushq	$-1
	pushq	$-1
	movl	%eax, %edi
	call	trace
	addq	$32, %rsp
	addl	$1, %eax
	subl	%eax, -52(%rbp)
	movl	-52(%rbp), %eax
	movl	%eax, %esi
	leaq	.LC3(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	printf@PLT
	movq	-48(%rbp), %rax
	movq	%rax, %rdi
	call	free@PLT
	movq	-40(%rbp), %rax
	movq	%rax, %rdi
	call	free@PLT
	movq	-32(%rbp), %rax
	movq	%rax, %rdi
	call	free@PLT
	movl	$0, %eax
	movq	-24(%rbp), %rdx
	subq	%fs:40, %rdx
	je	.L19
	call	__stack_chk_fail@PLT
.L19:
	movq	-8(%rbp), %rbx
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE7:
	.size	main, .-main
	.local	index.1
	.comm	index.1,4,4
	.local	i.0
	.comm	i.0,4,4
	.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:
