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

```c
/*
  AOJ 1035
  Title:Sleeping Cats
  @kankichi573
*/
#include <stdio.h>
#include <string.h>

int W,Q;
char pos[100];
char zero[100];

cat_alloc(int id,int len)
{
  int i;
  
  for(i=0;i<=W-len;i++)
    if(0==memcmp(zero,pos+i,len))
      {
	memset(pos+i,id,len);
	return(i);
      }
  return(-1);
}

cat_free(int id)
{
  int i;

  for(i=0;i<100;i++)
    if(pos[i]==id)
      pos[i]=-1;
}
dump()
{
      int i;
      for(i=0;i<W;i++)
	if(pos[i]==-1)
	  printf("-|");
	else
	  printf("%d|",pos[i]);
      printf("\n--------\n");
}
main()
{
  int i,ret,id,wid,ds;
  char sw,input[20],*p1,*p2;
  ds=0;
  while(scanf("%d %d ",&W,&Q)  && (W||Q))
    {
      if(ds)
	printf("END\n");
      ds++;
      memset(zero,-1,100);
      memset(pos ,-1,100);
      for(i=0;i<Q;i++)
	{
	  fgets(input,20,stdin);
	  if(input[0]=='s')
	    {
	      strtok(input," \n");
	      p1=strtok(NULL," \n");
	      id = atoi(p1);
	      p2=strtok(NULL," \n");
	      wid= atoi(p2);
	      if(-1!=(ret=cat_alloc(id,wid)))
		printf("%d\n",ret);
	      else
		printf("impossible\n");
	    }
	  else if(input[0]=='w')
	    {
	      strtok(input," \n");
	      p2=strtok(NULL," \n");
	      id = atoi(p1);
	      cat_free(id);
	    }
	  //dump();
	}
    }
  printf("END\n");
  return(0);
}```

Unoptimized Assembly Code:

```assembly
	.file	"temp.c"
	.text
	.globl	W
	.bss
	.align 4
	.type	W, @object
	.size	W, 4
W:
	.zero	4
	.globl	Q
	.align 4
	.type	Q, @object
	.size	Q, 4
Q:
	.zero	4
	.globl	pos
	.align 32
	.type	pos, @object
	.size	pos, 100
pos:
	.zero	100
	.globl	zero
	.align 32
	.type	zero, @object
	.size	zero, 100
zero:
	.zero	100
	.text
	.globl	cat_alloc
	.type	cat_alloc, @function
cat_alloc:
.LFB0:
	.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
	movl	%edi, -20(%rbp)
	movl	%esi, -24(%rbp)
	movl	$0, -4(%rbp)
	jmp	.L2
.L5:
	movl	-24(%rbp), %eax
	cltq
	movl	-4(%rbp), %edx
	movslq	%edx, %rdx
	leaq	pos(%rip), %rcx
	addq	%rdx, %rcx
	movq	%rax, %rdx
	movq	%rcx, %rsi
	leaq	zero(%rip), %rax
	movq	%rax, %rdi
	call	memcmp@PLT
	testl	%eax, %eax
	jne	.L3
	movl	-24(%rbp), %eax
	movslq	%eax, %rdx
	movl	-4(%rbp), %eax
	cltq
	leaq	pos(%rip), %rcx
	addq	%rax, %rcx
	movl	-20(%rbp), %eax
	movl	%eax, %esi
	movq	%rcx, %rdi
	call	memset@PLT
	movl	-4(%rbp), %eax
	jmp	.L4
.L3:
	addl	$1, -4(%rbp)
.L2:
	movl	W(%rip), %eax
	subl	-24(%rbp), %eax
	cmpl	%eax, -4(%rbp)
	jle	.L5
	movl	$-1, %eax
.L4:
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE0:
	.size	cat_alloc, .-cat_alloc
	.globl	cat_free
	.type	cat_free, @function
cat_free:
.LFB1:
	.cfi_startproc
	endbr64
	pushq	%rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	movq	%rsp, %rbp
	.cfi_def_cfa_register 6
	movl	%edi, -20(%rbp)
	movl	$0, -4(%rbp)
	jmp	.L7
.L9:
	movl	-4(%rbp), %eax
	cltq
	leaq	pos(%rip), %rdx
	movzbl	(%rax,%rdx), %eax
	movsbl	%al, %eax
	cmpl	%eax, -20(%rbp)
	jne	.L8
	movl	-4(%rbp), %eax
	cltq
	leaq	pos(%rip), %rdx
	movb	$-1, (%rax,%rdx)
.L8:
	addl	$1, -4(%rbp)
.L7:
	cmpl	$99, -4(%rbp)
	jle	.L9
	nop
	popq	%rbp
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE1:
	.size	cat_free, .-cat_free
	.section	.rodata
.LC0:
	.string	"-|"
.LC1:
	.string	"%d|"
.LC2:
	.string	"\n--------"
	.text
	.globl	dump
	.type	dump, @function
dump:
.LFB2:
	.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	$0, -4(%rbp)
	jmp	.L11
.L14:
	movl	-4(%rbp), %eax
	cltq
	leaq	pos(%rip), %rdx
	movzbl	(%rax,%rdx), %eax
	cmpb	$-1, %al
	jne	.L12
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	printf@PLT
	jmp	.L13
.L12:
	movl	-4(%rbp), %eax
	cltq
	leaq	pos(%rip), %rdx
	movzbl	(%rax,%rdx), %eax
	movsbl	%al, %eax
	movl	%eax, %esi
	leaq	.LC1(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	printf@PLT
.L13:
	addl	$1, -4(%rbp)
.L11:
	movl	W(%rip), %eax
	cmpl	%eax, -4(%rbp)
	jl	.L14
	leaq	.LC2(%rip), %rax
	movq	%rax, %rdi
	call	puts@PLT
	nop
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE2:
	.size	dump, .-dump
	.section	.rodata
.LC3:
	.string	"END"
.LC4:
	.string	" \n"
.LC5:
	.string	"%d\n"
.LC6:
	.string	"impossible"
.LC7:
	.string	"%d %d "
	.text
	.globl	main
	.type	main, @function
main:
.LFB3:
	.cfi_startproc
	endbr64
	pushq	%rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	movq	%rsp, %rbp
	.cfi_def_cfa_register 6
	subq	$80, %rsp
	movq	%fs:40, %rax
	movq	%rax, -8(%rbp)
	xorl	%eax, %eax
	movl	$0, -64(%rbp)
	jmp	.L16
.L24:
	cmpl	$0, -64(%rbp)
	je	.L17
	leaq	.LC3(%rip), %rax
	movq	%rax, %rdi
	call	puts@PLT
.L17:
	addl	$1, -64(%rbp)
	movl	$100, %edx
	movl	$-1, %esi
	leaq	zero(%rip), %rax
	movq	%rax, %rdi
	call	memset@PLT
	movl	$100, %edx
	movl	$-1, %esi
	leaq	pos(%rip), %rax
	movq	%rax, %rdi
	call	memset@PLT
	movl	$0, -68(%rbp)
	jmp	.L18
.L22:
	movq	stdin(%rip), %rdx
	leaq	-32(%rbp), %rax
	movl	$20, %esi
	movq	%rax, %rdi
	call	fgets@PLT
	movzbl	-32(%rbp), %eax
	cmpb	$115, %al
	jne	.L19
	leaq	-32(%rbp), %rax
	leaq	.LC4(%rip), %rdx
	movq	%rdx, %rsi
	movq	%rax, %rdi
	call	strtok@PLT
	leaq	.LC4(%rip), %rax
	movq	%rax, %rsi
	movl	$0, %edi
	call	strtok@PLT
	movq	%rax, -48(%rbp)
	movq	-48(%rbp), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	atoi@PLT
	movl	%eax, -60(%rbp)
	leaq	.LC4(%rip), %rax
	movq	%rax, %rsi
	movl	$0, %edi
	call	strtok@PLT
	movq	%rax, -40(%rbp)
	movq	-40(%rbp), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	atoi@PLT
	movl	%eax, -56(%rbp)
	movl	-56(%rbp), %edx
	movl	-60(%rbp), %eax
	movl	%edx, %esi
	movl	%eax, %edi
	call	cat_alloc
	movl	%eax, -52(%rbp)
	cmpl	$-1, -52(%rbp)
	je	.L20
	movl	-52(%rbp), %eax
	movl	%eax, %esi
	leaq	.LC5(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	printf@PLT
	jmp	.L21
.L20:
	leaq	.LC6(%rip), %rax
	movq	%rax, %rdi
	call	puts@PLT
	jmp	.L21
.L19:
	movzbl	-32(%rbp), %eax
	cmpb	$119, %al
	jne	.L21
	leaq	-32(%rbp), %rax
	leaq	.LC4(%rip), %rdx
	movq	%rdx, %rsi
	movq	%rax, %rdi
	call	strtok@PLT
	leaq	.LC4(%rip), %rax
	movq	%rax, %rsi
	movl	$0, %edi
	call	strtok@PLT
	movq	%rax, -40(%rbp)
	movq	-48(%rbp), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	atoi@PLT
	movl	%eax, -60(%rbp)
	movl	-60(%rbp), %eax
	movl	%eax, %edi
	call	cat_free
.L21:
	addl	$1, -68(%rbp)
.L18:
	movl	Q(%rip), %eax
	cmpl	%eax, -68(%rbp)
	jl	.L22
.L16:
	leaq	Q(%rip), %rax
	movq	%rax, %rdx
	leaq	W(%rip), %rax
	movq	%rax, %rsi
	leaq	.LC7(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	testl	%eax, %eax
	je	.L23
	movl	W(%rip), %eax
	testl	%eax, %eax
	jne	.L24
	movl	Q(%rip), %eax
	testl	%eax, %eax
	jne	.L24
.L23:
	leaq	.LC3(%rip), %rax
	movq	%rax, %rdi
	call	puts@PLT
	movl	$0, %eax
	movq	-8(%rbp), %rdx
	subq	%fs:40, %rdx
	je	.L26
	call	__stack_chk_fail@PLT
.L26:
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE3:
	.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
	.p2align 4
	.globl	cat_alloc
	.type	cat_alloc, @function
cat_alloc:
.LFB35:
	.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
	subq	$24, %rsp
	.cfi_def_cfa_offset 80
	movl	W(%rip), %eax
	movl	%edi, 12(%rsp)
	subl	%esi, %eax
	movl	%eax, 8(%rsp)
	js	.L5
	movslq	%esi, %rbp
	xorl	%ebx, %ebx
	leaq	pos(%rip), %r14
	leaq	zero(%rip), %r13
	jmp	.L4
	.p2align 4,,10
	.p2align 3
.L3:
	addq	$1, %rbx
	cmpl	%ebx, 8(%rsp)
	jl	.L5
.L4:
	leaq	(%r14,%rbx), %r15
	movq	%rbp, %rdx
	movq	%r13, %rdi
	movl	%ebx, %r12d
	movq	%r15, %rsi
	call	memcmp@PLT
	testl	%eax, %eax
	jne	.L3
	movl	12(%rsp), %esi
	movq	%rbp, %rdx
	movq	%r15, %rdi
	call	memset@PLT
	jmp	.L1
	.p2align 4,,10
	.p2align 3
.L5:
	movl	$-1, %r12d
.L1:
	addq	$24, %rsp
	.cfi_def_cfa_offset 56
	movl	%r12d, %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
	.cfi_endproc
.LFE35:
	.size	cat_alloc, .-cat_alloc
	.p2align 4
	.globl	cat_free
	.type	cat_free, @function
cat_free:
.LFB36:
	.cfi_startproc
	endbr64
	leaq	pos(%rip), %rax
	leaq	100(%rax), %rcx
	.p2align 4,,10
	.p2align 3
.L11:
	movsbl	(%rax), %edx
	cmpl	%edi, %edx
	jne	.L10
	movb	$-1, (%rax)
.L10:
	addq	$1, %rax
	cmpq	%rcx, %rax
	jne	.L11
	ret
	.cfi_endproc
.LFE36:
	.size	cat_free, .-cat_free
	.section	.rodata.str1.1,"aMS",@progbits,1
.LC0:
	.string	"-|"
.LC1:
	.string	"%d|"
.LC2:
	.string	"\n--------"
	.text
	.p2align 4
	.globl	dump
	.type	dump, @function
dump:
.LFB37:
	.cfi_startproc
	endbr64
	movl	W(%rip), %eax
	testl	%eax, %eax
	jle	.L19
	pushq	%r13
	.cfi_def_cfa_offset 16
	.cfi_offset 13, -16
	leaq	.LC0(%rip), %r13
	pushq	%r12
	.cfi_def_cfa_offset 24
	.cfi_offset 12, -24
	leaq	.LC1(%rip), %r12
	pushq	%rbp
	.cfi_def_cfa_offset 32
	.cfi_offset 6, -32
	leaq	pos(%rip), %rbp
	pushq	%rbx
	.cfi_def_cfa_offset 40
	.cfi_offset 3, -40
	xorl	%ebx, %ebx
	subq	$8, %rsp
	.cfi_def_cfa_offset 48
	.p2align 4,,10
	.p2align 3
.L17:
	movsbl	0(%rbp,%rbx), %edx
	cmpb	$-1, %dl
	je	.L22
	xorl	%eax, %eax
	movq	%r12, %rsi
	movl	$1, %edi
	addq	$1, %rbx
	call	__printf_chk@PLT
	cmpl	%ebx, W(%rip)
	jg	.L17
.L14:
	addq	$8, %rsp
	.cfi_remember_state
	.cfi_def_cfa_offset 40
	leaq	.LC2(%rip), %rdi
	popq	%rbx
	.cfi_restore 3
	.cfi_def_cfa_offset 32
	popq	%rbp
	.cfi_restore 6
	.cfi_def_cfa_offset 24
	popq	%r12
	.cfi_restore 12
	.cfi_def_cfa_offset 16
	popq	%r13
	.cfi_restore 13
	.cfi_def_cfa_offset 8
	jmp	puts@PLT
	.p2align 4,,10
	.p2align 3
.L22:
	.cfi_restore_state
	xorl	%eax, %eax
	movq	%r13, %rsi
	movl	$1, %edi
	addq	$1, %rbx
	call	__printf_chk@PLT
	cmpl	%ebx, W(%rip)
	jg	.L17
	jmp	.L14
	.p2align 4,,10
	.p2align 3
.L19:
	.cfi_def_cfa_offset 8
	.cfi_restore 3
	.cfi_restore 6
	.cfi_restore 12
	.cfi_restore 13
	leaq	.LC2(%rip), %rdi
	jmp	puts@PLT
	.cfi_endproc
.LFE37:
	.size	dump, .-dump
	.section	.rodata.str1.1
.LC3:
	.string	"END"
.LC4:
	.string	" \n"
.LC5:
	.string	"%d\n"
.LC6:
	.string	"%d %d "
.LC7:
	.string	"impossible"
	.section	.text.startup,"ax",@progbits
	.p2align 4
	.globl	main
	.type	main, @function
main:
.LFB38:
	.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
	leaq	100+pos(%rip), %rbp
	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
	movl	$0, 28(%rsp)
	.p2align 4,,10
	.p2align 3
.L24:
	xorl	%eax, %eax
	leaq	Q(%rip), %rdx
	leaq	W(%rip), %rsi
	leaq	.LC6(%rip), %rdi
	call	__isoc99_scanf@PLT
	testl	%eax, %eax
	je	.L35
	movl	Q(%rip), %eax
	movl	%eax, %esi
	orl	W(%rip), %esi
	je	.L35
	movl	28(%rsp), %edx
	testl	%edx, %edx
	jne	.L49
.L25:
	pcmpeqd	%xmm0, %xmm0
	addl	$1, 28(%rsp)
	movl	$-1, 96+zero(%rip)
	movl	$-1, 96+pos(%rip)
	movaps	%xmm0, zero(%rip)
	movaps	%xmm0, 16+zero(%rip)
	movaps	%xmm0, 32+zero(%rip)
	movaps	%xmm0, 48+zero(%rip)
	movaps	%xmm0, 64+zero(%rip)
	movaps	%xmm0, 80+zero(%rip)
	movaps	%xmm0, pos(%rip)
	movaps	%xmm0, 16+pos(%rip)
	movaps	%xmm0, 32+pos(%rip)
	movaps	%xmm0, 48+pos(%rip)
	movaps	%xmm0, 64+pos(%rip)
	movaps	%xmm0, 80+pos(%rip)
	testl	%eax, %eax
	jle	.L24
	leaq	32(%rsp), %rax
	xorl	%ebx, %ebx
	movq	%rax, (%rsp)
	jmp	.L34
	.p2align 4,,10
	.p2align 3
.L27:
	cmpb	$119, %al
	je	.L50
.L30:
	addl	$1, %ebx
	cmpl	%ebx, Q(%rip)
	jle	.L24
.L34:
	movq	stdin(%rip), %rdx
	movq	(%rsp), %rdi
	movl	$20, %esi
	call	fgets@PLT
	movzbl	32(%rsp), %eax
	cmpb	$115, %al
	jne	.L27
	movq	(%rsp), %rdi
	leaq	.LC4(%rip), %rsi
	call	strtok@PLT
	leaq	.LC4(%rip), %rsi
	xorl	%edi, %edi
	call	strtok@PLT
	movq	%rax, %rdi
	movq	%rax, 16(%rsp)
	xorl	%eax, %eax
	call	atoi@PLT
	leaq	.LC4(%rip), %rsi
	xorl	%edi, %edi
	movl	%eax, 24(%rsp)
	call	strtok@PLT
	movq	%rax, %rdi
	xorl	%eax, %eax
	call	atoi@PLT
	movl	W(%rip), %esi
	subl	%eax, %esi
	movl	%esi, 8(%rsp)
	js	.L28
	xorl	%r14d, %r14d
	movl	%ebx, 12(%rsp)
	movslq	%eax, %r15
	leaq	zero(%rip), %r13
	movq	%r14, %rbx
	jmp	.L31
	.p2align 4,,10
	.p2align 3
.L29:
	addq	$1, %rbx
	cmpl	%ebx, 8(%rsp)
	jl	.L51
.L31:
	leaq	pos(%rip), %rax
	movq	%r15, %rdx
	movq	%r13, %rdi
	movl	%ebx, %r12d
	leaq	(%rax,%rbx), %r14
	movq	%r14, %rsi
	call	memcmp@PLT
	testl	%eax, %eax
	jne	.L29
	movl	24(%rsp), %esi
	movq	%r15, %rdx
	movq	%r14, %rdi
	movl	12(%rsp), %ebx
	call	memset@PLT
	movl	%r12d, %edx
	movl	$1, %edi
	xorl	%eax, %eax
	leaq	.LC5(%rip), %rsi
	call	__printf_chk@PLT
	jmp	.L30
	.p2align 4,,10
	.p2align 3
.L51:
	movl	12(%rsp), %ebx
.L28:
	leaq	.LC7(%rip), %rdi
	call	puts@PLT
	jmp	.L30
.L50:
	movq	(%rsp), %rdi
	leaq	.LC4(%rip), %rsi
	call	strtok@PLT
	leaq	.LC4(%rip), %rsi
	xorl	%edi, %edi
	call	strtok@PLT
	movq	16(%rsp), %rdi
	xorl	%eax, %eax
	call	atoi@PLT
	leaq	pos(%rip), %rdx
	.p2align 4,,10
	.p2align 3
.L33:
	movsbl	(%rdx), %ecx
	cmpl	%ecx, %eax
	jne	.L32
	movb	$-1, (%rdx)
.L32:
	addq	$1, %rdx
	cmpq	%rbp, %rdx
	jne	.L33
	jmp	.L30
.L49:
	leaq	.LC3(%rip), %rdi
	call	puts@PLT
	movl	Q(%rip), %eax
	jmp	.L25
.L35:
	leaq	.LC3(%rip), %rdi
	call	puts@PLT
	movq	56(%rsp), %rax
	subq	%fs:40, %rax
	jne	.L52
	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
.L52:
	.cfi_restore_state
	call	__stack_chk_fail@PLT
	.cfi_endproc
.LFE38:
	.size	main, .-main
	.globl	zero
	.bss
	.align 32
	.type	zero, @object
	.size	zero, 100
zero:
	.zero	100
	.globl	pos
	.align 32
	.type	pos, @object
	.size	pos, 100
pos:
	.zero	100
	.globl	Q
	.align 4
	.type	Q, @object
	.size	Q, 4
Q:
	.zero	4
	.globl	W
	.align 4
	.type	W, @object
	.size	W, 4
W:
	.zero	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	cat_alloc
	.type	cat_alloc, @function
cat_alloc:
.LFB35:
	.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
	subq	$24, %rsp
	.cfi_def_cfa_offset 80
	movl	W(%rip), %eax
	movl	%edi, 12(%rsp)
	subl	%esi, %eax
	movl	%eax, 8(%rsp)
	js	.L5
	movslq	%esi, %rbp
	xorl	%ebx, %ebx
	leaq	pos(%rip), %r14
	leaq	zero(%rip), %r13
	jmp	.L4
	.p2align 4,,10
	.p2align 3
.L3:
	addq	$1, %rbx
	cmpl	%ebx, 8(%rsp)
	jl	.L5
.L4:
	leaq	(%r14,%rbx), %r15
	movq	%rbp, %rdx
	movq	%r13, %rdi
	movl	%ebx, %r12d
	movq	%r15, %rsi
	call	memcmp@PLT
	testl	%eax, %eax
	jne	.L3
	movl	12(%rsp), %esi
	movq	%rbp, %rdx
	movq	%r15, %rdi
	call	memset@PLT
	jmp	.L1
	.p2align 4,,10
	.p2align 3
.L5:
	movl	$-1, %r12d
.L1:
	addq	$24, %rsp
	.cfi_def_cfa_offset 56
	movl	%r12d, %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
	.cfi_endproc
.LFE35:
	.size	cat_alloc, .-cat_alloc
	.p2align 4
	.globl	cat_free
	.type	cat_free, @function
cat_free:
.LFB36:
	.cfi_startproc
	endbr64
	leaq	pos(%rip), %rax
	leaq	100(%rax), %rcx
	.p2align 4,,10
	.p2align 3
.L11:
	movsbl	(%rax), %edx
	cmpl	%edi, %edx
	jne	.L10
	movb	$-1, (%rax)
.L10:
	addq	$1, %rax
	cmpq	%rcx, %rax
	jne	.L11
	ret
	.cfi_endproc
.LFE36:
	.size	cat_free, .-cat_free
	.section	.rodata.str1.1,"aMS",@progbits,1
.LC0:
	.string	"-|"
.LC1:
	.string	"%d|"
.LC2:
	.string	"\n--------"
	.text
	.p2align 4
	.globl	dump
	.type	dump, @function
dump:
.LFB37:
	.cfi_startproc
	endbr64
	movl	W(%rip), %eax
	testl	%eax, %eax
	jle	.L19
	pushq	%r13
	.cfi_def_cfa_offset 16
	.cfi_offset 13, -16
	leaq	.LC0(%rip), %r13
	pushq	%r12
	.cfi_def_cfa_offset 24
	.cfi_offset 12, -24
	leaq	.LC1(%rip), %r12
	pushq	%rbp
	.cfi_def_cfa_offset 32
	.cfi_offset 6, -32
	leaq	pos(%rip), %rbp
	pushq	%rbx
	.cfi_def_cfa_offset 40
	.cfi_offset 3, -40
	xorl	%ebx, %ebx
	subq	$8, %rsp
	.cfi_def_cfa_offset 48
	.p2align 4,,10
	.p2align 3
.L17:
	movsbl	0(%rbp,%rbx), %edx
	cmpb	$-1, %dl
	je	.L22
	xorl	%eax, %eax
	movq	%r12, %rsi
	movl	$1, %edi
	addq	$1, %rbx
	call	__printf_chk@PLT
	cmpl	%ebx, W(%rip)
	jg	.L17
.L14:
	addq	$8, %rsp
	.cfi_remember_state
	.cfi_def_cfa_offset 40
	leaq	.LC2(%rip), %rdi
	popq	%rbx
	.cfi_restore 3
	.cfi_def_cfa_offset 32
	popq	%rbp
	.cfi_restore 6
	.cfi_def_cfa_offset 24
	popq	%r12
	.cfi_restore 12
	.cfi_def_cfa_offset 16
	popq	%r13
	.cfi_restore 13
	.cfi_def_cfa_offset 8
	jmp	puts@PLT
	.p2align 4,,10
	.p2align 3
.L22:
	.cfi_restore_state
	xorl	%eax, %eax
	movq	%r13, %rsi
	movl	$1, %edi
	addq	$1, %rbx
	call	__printf_chk@PLT
	cmpl	%ebx, W(%rip)
	jg	.L17
	jmp	.L14
	.p2align 4,,10
	.p2align 3
.L19:
	.cfi_def_cfa_offset 8
	.cfi_restore 3
	.cfi_restore 6
	.cfi_restore 12
	.cfi_restore 13
	leaq	.LC2(%rip), %rdi
	jmp	puts@PLT
	.cfi_endproc
.LFE37:
	.size	dump, .-dump
	.section	.rodata.str1.1
.LC3:
	.string	"END"
.LC4:
	.string	" \n"
.LC5:
	.string	"%d\n"
.LC6:
	.string	"%d %d "
.LC7:
	.string	"impossible"
	.section	.text.startup,"ax",@progbits
	.p2align 4
	.globl	main
	.type	main, @function
main:
.LFB38:
	.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
	leaq	100+pos(%rip), %rbp
	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
	movl	$0, 28(%rsp)
	.p2align 4,,10
	.p2align 3
.L24:
	xorl	%eax, %eax
	leaq	Q(%rip), %rdx
	leaq	W(%rip), %rsi
	leaq	.LC6(%rip), %rdi
	call	__isoc99_scanf@PLT
	testl	%eax, %eax
	je	.L35
	movl	Q(%rip), %eax
	movl	%eax, %esi
	orl	W(%rip), %esi
	je	.L35
	movl	28(%rsp), %edx
	testl	%edx, %edx
	jne	.L49
.L25:
	pcmpeqd	%xmm0, %xmm0
	addl	$1, 28(%rsp)
	movl	$-1, 96+zero(%rip)
	movl	$-1, 96+pos(%rip)
	movaps	%xmm0, zero(%rip)
	movaps	%xmm0, 16+zero(%rip)
	movaps	%xmm0, 32+zero(%rip)
	movaps	%xmm0, 48+zero(%rip)
	movaps	%xmm0, 64+zero(%rip)
	movaps	%xmm0, 80+zero(%rip)
	movaps	%xmm0, pos(%rip)
	movaps	%xmm0, 16+pos(%rip)
	movaps	%xmm0, 32+pos(%rip)
	movaps	%xmm0, 48+pos(%rip)
	movaps	%xmm0, 64+pos(%rip)
	movaps	%xmm0, 80+pos(%rip)
	testl	%eax, %eax
	jle	.L24
	leaq	32(%rsp), %rax
	xorl	%ebx, %ebx
	movq	%rax, (%rsp)
	jmp	.L34
	.p2align 4,,10
	.p2align 3
.L27:
	cmpb	$119, %al
	je	.L50
.L30:
	addl	$1, %ebx
	cmpl	%ebx, Q(%rip)
	jle	.L24
.L34:
	movq	stdin(%rip), %rdx
	movq	(%rsp), %rdi
	movl	$20, %esi
	call	fgets@PLT
	movzbl	32(%rsp), %eax
	cmpb	$115, %al
	jne	.L27
	movq	(%rsp), %rdi
	leaq	.LC4(%rip), %rsi
	call	strtok@PLT
	leaq	.LC4(%rip), %rsi
	xorl	%edi, %edi
	call	strtok@PLT
	movq	%rax, %rdi
	movq	%rax, 16(%rsp)
	xorl	%eax, %eax
	call	atoi@PLT
	leaq	.LC4(%rip), %rsi
	xorl	%edi, %edi
	movl	%eax, 24(%rsp)
	call	strtok@PLT
	movq	%rax, %rdi
	xorl	%eax, %eax
	call	atoi@PLT
	movl	W(%rip), %esi
	subl	%eax, %esi
	movl	%esi, 8(%rsp)
	js	.L28
	xorl	%r14d, %r14d
	movl	%ebx, 12(%rsp)
	movslq	%eax, %r15
	leaq	zero(%rip), %r13
	movq	%r14, %rbx
	jmp	.L31
	.p2align 4,,10
	.p2align 3
.L29:
	addq	$1, %rbx
	cmpl	%ebx, 8(%rsp)
	jl	.L51
.L31:
	leaq	pos(%rip), %rax
	movq	%r15, %rdx
	movq	%r13, %rdi
	movl	%ebx, %r12d
	leaq	(%rax,%rbx), %r14
	movq	%r14, %rsi
	call	memcmp@PLT
	testl	%eax, %eax
	jne	.L29
	movl	24(%rsp), %esi
	movq	%r15, %rdx
	movq	%r14, %rdi
	movl	12(%rsp), %ebx
	call	memset@PLT
	movl	%r12d, %edx
	movl	$1, %edi
	xorl	%eax, %eax
	leaq	.LC5(%rip), %rsi
	call	__printf_chk@PLT
	jmp	.L30
	.p2align 4,,10
	.p2align 3
.L51:
	movl	12(%rsp), %ebx
.L28:
	leaq	.LC7(%rip), %rdi
	call	puts@PLT
	jmp	.L30
.L50:
	movq	(%rsp), %rdi
	leaq	.LC4(%rip), %rsi
	call	strtok@PLT
	leaq	.LC4(%rip), %rsi
	xorl	%edi, %edi
	call	strtok@PLT
	movq	16(%rsp), %rdi
	xorl	%eax, %eax
	call	atoi@PLT
	leaq	pos(%rip), %rdx
	.p2align 4,,10
	.p2align 3
.L33:
	movsbl	(%rdx), %ecx
	cmpl	%ecx, %eax
	jne	.L32
	movb	$-1, (%rdx)
.L32:
	addq	$1, %rdx
	cmpq	%rbp, %rdx
	jne	.L33
	jmp	.L30
.L49:
	leaq	.LC3(%rip), %rdi
	call	puts@PLT
	movl	Q(%rip), %eax
	jmp	.L25
.L35:
	leaq	.LC3(%rip), %rdi
	call	puts@PLT
	movq	56(%rsp), %rax
	subq	%fs:40, %rax
	jne	.L52
	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
.L52:
	.cfi_restore_state
	call	__stack_chk_fail@PLT
	.cfi_endproc
.LFE38:
	.size	main, .-main
	.globl	zero
	.bss
	.align 32
	.type	zero, @object
	.size	zero, 100
zero:
	.zero	100
	.globl	pos
	.align 32
	.type	pos, @object
	.size	pos, 100
pos:
	.zero	100
	.globl	Q
	.align 4
	.type	Q, @object
	.size	Q, 4
Q:
	.zero	4
	.globl	W
	.align 4
	.type	W, @object
	.size	W, 4
W:
	.zero	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:

/*
  AOJ 1035
  Title:Sleeping Cats
  @kankichi573
*/
#include <stdio.h>
#include <string.h>

int W,Q;
char pos[100];
char zero[100];

cat_alloc(int id,int len)
{
  int i;
  
  for(i=0;i<=W-len;i++)
    if(0==memcmp(zero,pos+i,len))
      {
	memset(pos+i,id,len);
	return(i);
      }
  return(-1);
}

cat_free(int id)
{
  int i;

  for(i=0;i<100;i++)
    if(pos[i]==id)
      pos[i]=-1;
}
dump()
{
      int i;
      for(i=0;i<W;i++)
	if(pos[i]==-1)
	  printf("-|");
	else
	  printf("%d|",pos[i]);
      printf("\n--------\n");
}
main()
{
  int i,ret,id,wid,ds;
  char sw,input[20],*p1,*p2;
  ds=0;
  while(scanf("%d %d ",&W,&Q)  && (W||Q))
    {
      if(ds)
	printf("END\n");
      ds++;
      memset(zero,-1,100);
      memset(pos ,-1,100);
      for(i=0;i<Q;i++)
	{
	  fgets(input,20,stdin);
	  if(input[0]=='s')
	    {
	      strtok(input," \n");
	      p1=strtok(NULL," \n");
	      id = atoi(p1);
	      p2=strtok(NULL," \n");
	      wid= atoi(p2);
	      if(-1!=(ret=cat_alloc(id,wid)))
		printf("%d\n",ret);
	      else
		printf("impossible\n");
	    }
	  else if(input[0]=='w')
	    {
	      strtok(input," \n");
	      p2=strtok(NULL," \n");
	      id = atoi(p1);
	      cat_free(id);
	    }
	  //dump();
	}
    }
  printf("END\n");
  return(0);
}
4 6
s 0 2
s 1 2
s 2 1
w 0
s 3 3
s 4 2
3 3
s 0 1
s 1 1
s 2 1
0 0
 4 6
s 0 2
s 1 3
s 2 1
w 0
s 3 3
s 4 2
3 3
s 0 1
s 0 1
s 2 1
0 0
 4 6
s 0 2
s 1 2
s 2 1
w 0
s 3 3
s 4 2
4 3
s 0 1
s 1 2
s 2 1
0 0
 4 6
s 0 3
s 1 3
s 2 1
w 0
s 3 3
s 4 2
3 3
s 0 1
s 1 1
s 2 1
0 0
 4 6
s 0 2
s 2 3
s 2 1
w 0
s 3 3
s 4 2
2 3
s 0 1
s 1 1
s 2 1
0 0
 4 6
s 0 2
s 1 2
s 2 1
w 0
s 3 4
s 4 4
4 3
s 0 1
s 1 2
s 2 1
0 0
 4 6
s 0 3
s 1 3
s 2 2
w 0
s 3 3
s 4 2
3 3
s 0 1
s 1 1
s 2 1
0 0
 4 6
s 0 2
s 2 3
s 2 1
w 0
s 3 2
s 3 2
2 3
s 0 1
s 1 1
s 2 1
0 0
 4 6
s 0 3
s 2 3
s 2 1
w 0
s 5 2
s 3 2
2 3
s 0 1
s 1 1
s 2 1
0 0
 6 6
s 0 2
s 1 2
s 2 1
w 0
s 3 3
s 4 2
4 3
s 0 1
s 1 2
s 2 1
0 0

0
2
impossible
impossible
0
END
0
1
2
END
 0
impossible
2
impossible
0
END
0
1
2
END
 0
2
impossible
impossible
0
END
0
1
3
END
 0
impossible
3
0
impossible
END
0
1
2
END
 0
impossible
2
impossible
0
END
0
1
impossible
END
 0
2
impossible
impossible
impossible
END
0
1
3
END
 0
impossible
impossible
0
impossible
END
0
1
2
END
 0
impossible
2
0
impossible
END
0
1
impossible
END
 0
impossible
3
0
impossible
END
0
1
impossible
END
 0
2
4
impossible
0
END
0
1
3
END

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

```c
/*
  AOJ 1035
  Title:Sleeping Cats
  @kankichi573
*/
#include <stdio.h>
#include <string.h>

int W,Q;
char pos[100];
char zero[100];

cat_alloc(int id,int len)
{
  int i;
  
  for(i=0;i<=W-len;i++)
    if(0==memcmp(zero,pos+i,len))
      {
	memset(pos+i,id,len);
	return(i);
      }
  return(-1);
}

cat_free(int id)
{
  int i;

  for(i=0;i<100;i++)
    if(pos[i]==id)
      pos[i]=-1;
}
dump()
{
      int i;
      for(i=0;i<W;i++)
	if(pos[i]==-1)
	  printf("-|");
	else
	  printf("%d|",pos[i]);
      printf("\n--------\n");
}
main()
{
  int i,ret,id,wid,ds;
  char sw,input[20],*p1,*p2;
  ds=0;
  while(scanf("%d %d ",&W,&Q)  && (W||Q))
    {
      if(ds)
	printf("END\n");
      ds++;
      memset(zero,-1,100);
      memset(pos ,-1,100);
      for(i=0;i<Q;i++)
	{
	  fgets(input,20,stdin);
	  if(input[0]=='s')
	    {
	      strtok(input," \n");
	      p1=strtok(NULL," \n");
	      id = atoi(p1);
	      p2=strtok(NULL," \n");
	      wid= atoi(p2);
	      if(-1!=(ret=cat_alloc(id,wid)))
		printf("%d\n",ret);
	      else
		printf("impossible\n");
	    }
	  else if(input[0]=='w')
	    {
	      strtok(input," \n");
	      p2=strtok(NULL," \n");
	      id = atoi(p1);
	      cat_free(id);
	    }
	  //dump();
	}
    }
  printf("END\n");
  return(0);
}```

Unoptimized Assembly Code:

```assembly
	.file	"temp.c"
	.text
	.globl	W
	.bss
	.align 4
	.type	W, @object
	.size	W, 4
W:
	.zero	4
	.globl	Q
	.align 4
	.type	Q, @object
	.size	Q, 4
Q:
	.zero	4
	.globl	pos
	.align 32
	.type	pos, @object
	.size	pos, 100
pos:
	.zero	100
	.globl	zero
	.align 32
	.type	zero, @object
	.size	zero, 100
zero:
	.zero	100
	.text
	.globl	cat_alloc
	.type	cat_alloc, @function
cat_alloc:
.LFB0:
	.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
	movl	%edi, -20(%rbp)
	movl	%esi, -24(%rbp)
	movl	$0, -4(%rbp)
	jmp	.L2
.L5:
	movl	-24(%rbp), %eax
	cltq
	movl	-4(%rbp), %edx
	movslq	%edx, %rdx
	leaq	pos(%rip), %rcx
	addq	%rdx, %rcx
	movq	%rax, %rdx
	movq	%rcx, %rsi
	leaq	zero(%rip), %rax
	movq	%rax, %rdi
	call	memcmp@PLT
	testl	%eax, %eax
	jne	.L3
	movl	-24(%rbp), %eax
	movslq	%eax, %rdx
	movl	-4(%rbp), %eax
	cltq
	leaq	pos(%rip), %rcx
	addq	%rax, %rcx
	movl	-20(%rbp), %eax
	movl	%eax, %esi
	movq	%rcx, %rdi
	call	memset@PLT
	movl	-4(%rbp), %eax
	jmp	.L4
.L3:
	addl	$1, -4(%rbp)
.L2:
	movl	W(%rip), %eax
	subl	-24(%rbp), %eax
	cmpl	%eax, -4(%rbp)
	jle	.L5
	movl	$-1, %eax
.L4:
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE0:
	.size	cat_alloc, .-cat_alloc
	.globl	cat_free
	.type	cat_free, @function
cat_free:
.LFB1:
	.cfi_startproc
	endbr64
	pushq	%rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	movq	%rsp, %rbp
	.cfi_def_cfa_register 6
	movl	%edi, -20(%rbp)
	movl	$0, -4(%rbp)
	jmp	.L7
.L9:
	movl	-4(%rbp), %eax
	cltq
	leaq	pos(%rip), %rdx
	movzbl	(%rax,%rdx), %eax
	movsbl	%al, %eax
	cmpl	%eax, -20(%rbp)
	jne	.L8
	movl	-4(%rbp), %eax
	cltq
	leaq	pos(%rip), %rdx
	movb	$-1, (%rax,%rdx)
.L8:
	addl	$1, -4(%rbp)
.L7:
	cmpl	$99, -4(%rbp)
	jle	.L9
	nop
	popq	%rbp
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE1:
	.size	cat_free, .-cat_free
	.section	.rodata
.LC0:
	.string	"-|"
.LC1:
	.string	"%d|"
.LC2:
	.string	"\n--------"
	.text
	.globl	dump
	.type	dump, @function
dump:
.LFB2:
	.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	$0, -4(%rbp)
	jmp	.L11
.L14:
	movl	-4(%rbp), %eax
	cltq
	leaq	pos(%rip), %rdx
	movzbl	(%rax,%rdx), %eax
	cmpb	$-1, %al
	jne	.L12
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	printf@PLT
	jmp	.L13
.L12:
	movl	-4(%rbp), %eax
	cltq
	leaq	pos(%rip), %rdx
	movzbl	(%rax,%rdx), %eax
	movsbl	%al, %eax
	movl	%eax, %esi
	leaq	.LC1(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	printf@PLT
.L13:
	addl	$1, -4(%rbp)
.L11:
	movl	W(%rip), %eax
	cmpl	%eax, -4(%rbp)
	jl	.L14
	leaq	.LC2(%rip), %rax
	movq	%rax, %rdi
	call	puts@PLT
	nop
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE2:
	.size	dump, .-dump
	.section	.rodata
.LC3:
	.string	"END"
.LC4:
	.string	" \n"
.LC5:
	.string	"%d\n"
.LC6:
	.string	"impossible"
.LC7:
	.string	"%d %d "
	.text
	.globl	main
	.type	main, @function
main:
.LFB3:
	.cfi_startproc
	endbr64
	pushq	%rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	movq	%rsp, %rbp
	.cfi_def_cfa_register 6
	subq	$80, %rsp
	movq	%fs:40, %rax
	movq	%rax, -8(%rbp)
	xorl	%eax, %eax
	movl	$0, -64(%rbp)
	jmp	.L16
.L24:
	cmpl	$0, -64(%rbp)
	je	.L17
	leaq	.LC3(%rip), %rax
	movq	%rax, %rdi
	call	puts@PLT
.L17:
	addl	$1, -64(%rbp)
	movl	$100, %edx
	movl	$-1, %esi
	leaq	zero(%rip), %rax
	movq	%rax, %rdi
	call	memset@PLT
	movl	$100, %edx
	movl	$-1, %esi
	leaq	pos(%rip), %rax
	movq	%rax, %rdi
	call	memset@PLT
	movl	$0, -68(%rbp)
	jmp	.L18
.L22:
	movq	stdin(%rip), %rdx
	leaq	-32(%rbp), %rax
	movl	$20, %esi
	movq	%rax, %rdi
	call	fgets@PLT
	movzbl	-32(%rbp), %eax
	cmpb	$115, %al
	jne	.L19
	leaq	-32(%rbp), %rax
	leaq	.LC4(%rip), %rdx
	movq	%rdx, %rsi
	movq	%rax, %rdi
	call	strtok@PLT
	leaq	.LC4(%rip), %rax
	movq	%rax, %rsi
	movl	$0, %edi
	call	strtok@PLT
	movq	%rax, -48(%rbp)
	movq	-48(%rbp), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	atoi@PLT
	movl	%eax, -60(%rbp)
	leaq	.LC4(%rip), %rax
	movq	%rax, %rsi
	movl	$0, %edi
	call	strtok@PLT
	movq	%rax, -40(%rbp)
	movq	-40(%rbp), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	atoi@PLT
	movl	%eax, -56(%rbp)
	movl	-56(%rbp), %edx
	movl	-60(%rbp), %eax
	movl	%edx, %esi
	movl	%eax, %edi
	call	cat_alloc
	movl	%eax, -52(%rbp)
	cmpl	$-1, -52(%rbp)
	je	.L20
	movl	-52(%rbp), %eax
	movl	%eax, %esi
	leaq	.LC5(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	printf@PLT
	jmp	.L21
.L20:
	leaq	.LC6(%rip), %rax
	movq	%rax, %rdi
	call	puts@PLT
	jmp	.L21
.L19:
	movzbl	-32(%rbp), %eax
	cmpb	$119, %al
	jne	.L21
	leaq	-32(%rbp), %rax
	leaq	.LC4(%rip), %rdx
	movq	%rdx, %rsi
	movq	%rax, %rdi
	call	strtok@PLT
	leaq	.LC4(%rip), %rax
	movq	%rax, %rsi
	movl	$0, %edi
	call	strtok@PLT
	movq	%rax, -40(%rbp)
	movq	-48(%rbp), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	atoi@PLT
	movl	%eax, -60(%rbp)
	movl	-60(%rbp), %eax
	movl	%eax, %edi
	call	cat_free
.L21:
	addl	$1, -68(%rbp)
.L18:
	movl	Q(%rip), %eax
	cmpl	%eax, -68(%rbp)
	jl	.L22
.L16:
	leaq	Q(%rip), %rax
	movq	%rax, %rdx
	leaq	W(%rip), %rax
	movq	%rax, %rsi
	leaq	.LC7(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	testl	%eax, %eax
	je	.L23
	movl	W(%rip), %eax
	testl	%eax, %eax
	jne	.L24
	movl	Q(%rip), %eax
	testl	%eax, %eax
	jne	.L24
.L23:
	leaq	.LC3(%rip), %rax
	movq	%rax, %rdi
	call	puts@PLT
	movl	$0, %eax
	movq	-8(%rbp), %rdx
	subq	%fs:40, %rdx
	je	.L26
	call	__stack_chk_fail@PLT
.L26:
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE3:
	.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	W
	.bss
	.align 4
	.type	W, @object
	.size	W, 4
W:
	.zero	4
	.globl	Q
	.align 4
	.type	Q, @object
	.size	Q, 4
Q:
	.zero	4
	.globl	pos
	.align 32
	.type	pos, @object
	.size	pos, 100
pos:
	.zero	100
	.globl	zero
	.align 32
	.type	zero, @object
	.size	zero, 100
zero:
	.zero	100
	.text
	.globl	cat_alloc
	.type	cat_alloc, @function
cat_alloc:
.LFB0:
	.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
	movl	%edi, -20(%rbp)
	movl	%esi, -24(%rbp)
	movl	$0, -4(%rbp)
	jmp	.L2
.L5:
	movl	-24(%rbp), %eax
	cltq
	movl	-4(%rbp), %edx
	movslq	%edx, %rdx
	leaq	pos(%rip), %rcx
	addq	%rdx, %rcx
	movq	%rax, %rdx
	movq	%rcx, %rsi
	leaq	zero(%rip), %rax
	movq	%rax, %rdi
	call	memcmp@PLT
	testl	%eax, %eax
	jne	.L3
	movl	-24(%rbp), %eax
	movslq	%eax, %rdx
	movl	-4(%rbp), %eax
	cltq
	leaq	pos(%rip), %rcx
	addq	%rax, %rcx
	movl	-20(%rbp), %eax
	movl	%eax, %esi
	movq	%rcx, %rdi
	call	memset@PLT
	movl	-4(%rbp), %eax
	jmp	.L4
.L3:
	addl	$1, -4(%rbp)
.L2:
	movl	W(%rip), %eax
	subl	-24(%rbp), %eax
	cmpl	%eax, -4(%rbp)
	jle	.L5
	movl	$-1, %eax
.L4:
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE0:
	.size	cat_alloc, .-cat_alloc
	.globl	cat_free
	.type	cat_free, @function
cat_free:
.LFB1:
	.cfi_startproc
	endbr64
	pushq	%rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	movq	%rsp, %rbp
	.cfi_def_cfa_register 6
	movl	%edi, -20(%rbp)
	movl	$0, -4(%rbp)
	jmp	.L7
.L9:
	movl	-4(%rbp), %eax
	cltq
	leaq	pos(%rip), %rdx
	movzbl	(%rax,%rdx), %eax
	movsbl	%al, %eax
	cmpl	%eax, -20(%rbp)
	jne	.L8
	movl	-4(%rbp), %eax
	cltq
	leaq	pos(%rip), %rdx
	movb	$-1, (%rax,%rdx)
.L8:
	addl	$1, -4(%rbp)
.L7:
	cmpl	$99, -4(%rbp)
	jle	.L9
	nop
	popq	%rbp
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE1:
	.size	cat_free, .-cat_free
	.section	.rodata
.LC0:
	.string	"-|"
.LC1:
	.string	"%d|"
.LC2:
	.string	"\n--------"
	.text
	.globl	dump
	.type	dump, @function
dump:
.LFB2:
	.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	$0, -4(%rbp)
	jmp	.L11
.L14:
	movl	-4(%rbp), %eax
	cltq
	leaq	pos(%rip), %rdx
	movzbl	(%rax,%rdx), %eax
	cmpb	$-1, %al
	jne	.L12
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	printf@PLT
	jmp	.L13
.L12:
	movl	-4(%rbp), %eax
	cltq
	leaq	pos(%rip), %rdx
	movzbl	(%rax,%rdx), %eax
	movsbl	%al, %eax
	movl	%eax, %esi
	leaq	.LC1(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	printf@PLT
.L13:
	addl	$1, -4(%rbp)
.L11:
	movl	W(%rip), %eax
	cmpl	%eax, -4(%rbp)
	jl	.L14
	leaq	.LC2(%rip), %rax
	movq	%rax, %rdi
	call	puts@PLT
	nop
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE2:
	.size	dump, .-dump
	.section	.rodata
.LC3:
	.string	"END"
.LC4:
	.string	" \n"
.LC5:
	.string	"%d\n"
.LC6:
	.string	"impossible"
.LC7:
	.string	"%d %d "
	.text
	.globl	main
	.type	main, @function
main:
.LFB3:
	.cfi_startproc
	endbr64
	pushq	%rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	movq	%rsp, %rbp
	.cfi_def_cfa_register 6
	subq	$80, %rsp
	movq	%fs:40, %rax
	movq	%rax, -8(%rbp)
	xorl	%eax, %eax
	movl	$0, -64(%rbp)
	jmp	.L16
.L24:
	cmpl	$0, -64(%rbp)
	je	.L17
	leaq	.LC3(%rip), %rax
	movq	%rax, %rdi
	call	puts@PLT
.L17:
	addl	$1, -64(%rbp)
	movl	$100, %edx
	movl	$-1, %esi
	leaq	zero(%rip), %rax
	movq	%rax, %rdi
	call	memset@PLT
	movl	$100, %edx
	movl	$-1, %esi
	leaq	pos(%rip), %rax
	movq	%rax, %rdi
	call	memset@PLT
	movl	$0, -68(%rbp)
	jmp	.L18
.L22:
	movq	stdin(%rip), %rdx
	leaq	-32(%rbp), %rax
	movl	$20, %esi
	movq	%rax, %rdi
	call	fgets@PLT
	movzbl	-32(%rbp), %eax
	cmpb	$115, %al
	jne	.L19
	leaq	-32(%rbp), %rax
	leaq	.LC4(%rip), %rdx
	movq	%rdx, %rsi
	movq	%rax, %rdi
	call	strtok@PLT
	leaq	.LC4(%rip), %rax
	movq	%rax, %rsi
	movl	$0, %edi
	call	strtok@PLT
	movq	%rax, -48(%rbp)
	movq	-48(%rbp), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	atoi@PLT
	movl	%eax, -60(%rbp)
	leaq	.LC4(%rip), %rax
	movq	%rax, %rsi
	movl	$0, %edi
	call	strtok@PLT
	movq	%rax, -40(%rbp)
	movq	-40(%rbp), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	atoi@PLT
	movl	%eax, -56(%rbp)
	movl	-56(%rbp), %edx
	movl	-60(%rbp), %eax
	movl	%edx, %esi
	movl	%eax, %edi
	call	cat_alloc
	movl	%eax, -52(%rbp)
	cmpl	$-1, -52(%rbp)
	je	.L20
	movl	-52(%rbp), %eax
	movl	%eax, %esi
	leaq	.LC5(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	printf@PLT
	jmp	.L21
.L20:
	leaq	.LC6(%rip), %rax
	movq	%rax, %rdi
	call	puts@PLT
	jmp	.L21
.L19:
	movzbl	-32(%rbp), %eax
	cmpb	$119, %al
	jne	.L21
	leaq	-32(%rbp), %rax
	leaq	.LC4(%rip), %rdx
	movq	%rdx, %rsi
	movq	%rax, %rdi
	call	strtok@PLT
	leaq	.LC4(%rip), %rax
	movq	%rax, %rsi
	movl	$0, %edi
	call	strtok@PLT
	movq	%rax, -40(%rbp)
	movq	-48(%rbp), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	atoi@PLT
	movl	%eax, -60(%rbp)
	movl	-60(%rbp), %eax
	movl	%eax, %edi
	call	cat_free
.L21:
	addl	$1, -68(%rbp)
.L18:
	movl	Q(%rip), %eax
	cmpl	%eax, -68(%rbp)
	jl	.L22
.L16:
	leaq	Q(%rip), %rax
	movq	%rax, %rdx
	leaq	W(%rip), %rax
	movq	%rax, %rsi
	leaq	.LC7(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	testl	%eax, %eax
	je	.L23
	movl	W(%rip), %eax
	testl	%eax, %eax
	jne	.L24
	movl	Q(%rip), %eax
	testl	%eax, %eax
	jne	.L24
.L23:
	leaq	.LC3(%rip), %rax
	movq	%rax, %rdi
	call	puts@PLT
	movl	$0, %eax
	movq	-8(%rbp), %rdx
	subq	%fs:40, %rdx
	je	.L26
	call	__stack_chk_fail@PLT
.L26:
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE3:
	.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:
