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>
#include <string.h>

#define INF 1000000007

typedef struct data{
  struct data *next;
  int end;
}cell;

cell *edge[100005];

long long f[100005],g[100005];
int a[100005],b[100005],N,used[100005];

cell *make(int b);
void comb(int i);

int main(void){
  int i,buff;
  char str[100],*p;
  cell *q;
  
  fgets(str,sizeof(str),stdin);
  N=atoi(str);
  
  for(i=1;i<N;i++){
    edge[i]=NULL;
  }
  
  for(i=0;i<N-1;i++){
    fgets(str,sizeof(str),stdin);
    p=strtok(str," \n");
    a[i]=atoi(p);
    p=strtok(NULL," \n");
    b[i]=atoi(p);
    q=make(b[i]);
    q->next=edge[a[i]],edge[a[i]]=q;
    q=make(a[i]);
    q->next=edge[b[i]],edge[b[i]]=q;
  }
  
  comb(1);
  
  printf("%lld\n",f[1]);
  
  return 0;
}


cell *make(int b){
  
  cell *p;
  p=malloc(sizeof(edge));
  p->end=b;
  
  return p;
}

void comb(int i){
  cell *q;
  int num=0;
  
  used[i]=1;
  
  q=edge[i];
  if(q==NULL){
    f[i]=2,g[i]=1;
    return;
  }
  
  f[i]=1,g[i]=1;
  
  
  while(q!=NULL){
    
    if(used[q->end]==0){
      comb(q->end);
      f[i]*=g[q->end];
      f[i]%=INF;
      g[i]*=f[q->end];
      g[i]%=INF;
    }
    q=q->next;
  }
  
  f[i]+=g[i],f[i]%=INF;
  
  return;
}
```

Unoptimized Assembly Code:

```assembly
	.file	"temp.c"
	.text
	.globl	edge
	.bss
	.align 32
	.type	edge, @object
	.size	edge, 800040
edge:
	.zero	800040
	.globl	f
	.align 32
	.type	f, @object
	.size	f, 800040
f:
	.zero	800040
	.globl	g
	.align 32
	.type	g, @object
	.size	g, 800040
g:
	.zero	800040
	.globl	a
	.align 32
	.type	a, @object
	.size	a, 400020
a:
	.zero	400020
	.globl	b
	.align 32
	.type	b, @object
	.size	b, 400020
b:
	.zero	400020
	.globl	N
	.align 4
	.type	N, @object
	.size	N, 4
N:
	.zero	4
	.globl	used
	.align 32
	.type	used, @object
	.size	used, 400020
used:
	.zero	400020
	.section	.rodata
.LC0:
	.string	" \n"
.LC1:
	.string	"%lld\n"
	.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
	subq	$144, %rsp
	movq	%fs:40, %rax
	movq	%rax, -8(%rbp)
	xorl	%eax, %eax
	movq	stdin(%rip), %rdx
	leaq	-112(%rbp), %rax
	movl	$100, %esi
	movq	%rax, %rdi
	call	fgets@PLT
	leaq	-112(%rbp), %rax
	movq	%rax, %rdi
	call	atoi@PLT
	movl	%eax, N(%rip)
	movl	$1, -132(%rbp)
	jmp	.L2
.L3:
	movl	-132(%rbp), %eax
	cltq
	leaq	0(,%rax,8), %rdx
	leaq	edge(%rip), %rax
	movq	$0, (%rdx,%rax)
	addl	$1, -132(%rbp)
.L2:
	movl	N(%rip), %eax
	cmpl	%eax, -132(%rbp)
	jl	.L3
	movl	$0, -132(%rbp)
	jmp	.L4
.L5:
	movq	stdin(%rip), %rdx
	leaq	-112(%rbp), %rax
	movl	$100, %esi
	movq	%rax, %rdi
	call	fgets@PLT
	leaq	-112(%rbp), %rax
	leaq	.LC0(%rip), %rdx
	movq	%rdx, %rsi
	movq	%rax, %rdi
	call	strtok@PLT
	movq	%rax, -128(%rbp)
	movq	-128(%rbp), %rax
	movq	%rax, %rdi
	call	atoi@PLT
	movl	-132(%rbp), %edx
	movslq	%edx, %rdx
	leaq	0(,%rdx,4), %rcx
	leaq	a(%rip), %rdx
	movl	%eax, (%rcx,%rdx)
	leaq	.LC0(%rip), %rax
	movq	%rax, %rsi
	movl	$0, %edi
	call	strtok@PLT
	movq	%rax, -128(%rbp)
	movq	-128(%rbp), %rax
	movq	%rax, %rdi
	call	atoi@PLT
	movl	-132(%rbp), %edx
	movslq	%edx, %rdx
	leaq	0(,%rdx,4), %rcx
	leaq	b(%rip), %rdx
	movl	%eax, (%rcx,%rdx)
	movl	-132(%rbp), %eax
	cltq
	leaq	0(,%rax,4), %rdx
	leaq	b(%rip), %rax
	movl	(%rdx,%rax), %eax
	movl	%eax, %edi
	call	make
	movq	%rax, -120(%rbp)
	movl	-132(%rbp), %eax
	cltq
	leaq	0(,%rax,4), %rdx
	leaq	a(%rip), %rax
	movl	(%rdx,%rax), %eax
	cltq
	leaq	0(,%rax,8), %rdx
	leaq	edge(%rip), %rax
	movq	(%rdx,%rax), %rdx
	movq	-120(%rbp), %rax
	movq	%rdx, (%rax)
	movl	-132(%rbp), %eax
	cltq
	leaq	0(,%rax,4), %rdx
	leaq	a(%rip), %rax
	movl	(%rdx,%rax), %eax
	cltq
	leaq	0(,%rax,8), %rcx
	leaq	edge(%rip), %rdx
	movq	-120(%rbp), %rax
	movq	%rax, (%rcx,%rdx)
	movl	-132(%rbp), %eax
	cltq
	leaq	0(,%rax,4), %rdx
	leaq	a(%rip), %rax
	movl	(%rdx,%rax), %eax
	movl	%eax, %edi
	call	make
	movq	%rax, -120(%rbp)
	movl	-132(%rbp), %eax
	cltq
	leaq	0(,%rax,4), %rdx
	leaq	b(%rip), %rax
	movl	(%rdx,%rax), %eax
	cltq
	leaq	0(,%rax,8), %rdx
	leaq	edge(%rip), %rax
	movq	(%rdx,%rax), %rdx
	movq	-120(%rbp), %rax
	movq	%rdx, (%rax)
	movl	-132(%rbp), %eax
	cltq
	leaq	0(,%rax,4), %rdx
	leaq	b(%rip), %rax
	movl	(%rdx,%rax), %eax
	cltq
	leaq	0(,%rax,8), %rcx
	leaq	edge(%rip), %rdx
	movq	-120(%rbp), %rax
	movq	%rax, (%rcx,%rdx)
	addl	$1, -132(%rbp)
.L4:
	movl	N(%rip), %eax
	subl	$1, %eax
	cmpl	%eax, -132(%rbp)
	jl	.L5
	movl	$1, %edi
	call	comb
	movq	8+f(%rip), %rax
	movq	%rax, %rsi
	leaq	.LC1(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	printf@PLT
	movl	$0, %eax
	movq	-8(%rbp), %rdx
	subq	%fs:40, %rdx
	je	.L7
	call	__stack_chk_fail@PLT
.L7:
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE6:
	.size	main, .-main
	.globl	make
	.type	make, @function
make:
.LFB7:
	.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	$800040, %edi
	call	malloc@PLT
	movq	%rax, -8(%rbp)
	movq	-8(%rbp), %rax
	movl	-20(%rbp), %edx
	movl	%edx, 8(%rax)
	movq	-8(%rbp), %rax
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE7:
	.size	make, .-make
	.globl	comb
	.type	comb, @function
comb:
.LFB8:
	.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	$0, -12(%rbp)
	movl	-20(%rbp), %eax
	cltq
	leaq	0(,%rax,4), %rdx
	leaq	used(%rip), %rax
	movl	$1, (%rdx,%rax)
	movl	-20(%rbp), %eax
	cltq
	leaq	0(,%rax,8), %rdx
	leaq	edge(%rip), %rax
	movq	(%rdx,%rax), %rax
	movq	%rax, -8(%rbp)
	cmpq	$0, -8(%rbp)
	jne	.L11
	movl	-20(%rbp), %eax
	cltq
	leaq	0(,%rax,8), %rdx
	leaq	f(%rip), %rax
	movq	$2, (%rdx,%rax)
	movl	-20(%rbp), %eax
	cltq
	leaq	0(,%rax,8), %rdx
	leaq	g(%rip), %rax
	movq	$1, (%rdx,%rax)
	jmp	.L10
.L11:
	movl	-20(%rbp), %eax
	cltq
	leaq	0(,%rax,8), %rdx
	leaq	f(%rip), %rax
	movq	$1, (%rdx,%rax)
	movl	-20(%rbp), %eax
	cltq
	leaq	0(,%rax,8), %rdx
	leaq	g(%rip), %rax
	movq	$1, (%rdx,%rax)
	jmp	.L13
.L15:
	movq	-8(%rbp), %rax
	movl	8(%rax), %eax
	cltq
	leaq	0(,%rax,4), %rdx
	leaq	used(%rip), %rax
	movl	(%rdx,%rax), %eax
	testl	%eax, %eax
	jne	.L14
	movq	-8(%rbp), %rax
	movl	8(%rax), %eax
	movl	%eax, %edi
	call	comb
	movl	-20(%rbp), %eax
	cltq
	leaq	0(,%rax,8), %rdx
	leaq	f(%rip), %rax
	movq	(%rdx,%rax), %rdx
	movq	-8(%rbp), %rax
	movl	8(%rax), %eax
	cltq
	leaq	0(,%rax,8), %rcx
	leaq	g(%rip), %rax
	movq	(%rcx,%rax), %rax
	imulq	%rdx, %rax
	movl	-20(%rbp), %edx
	movslq	%edx, %rdx
	leaq	0(,%rdx,8), %rcx
	leaq	f(%rip), %rdx
	movq	%rax, (%rcx,%rdx)
	movl	-20(%rbp), %eax
	cltq
	leaq	0(,%rax,8), %rdx
	leaq	f(%rip), %rax
	movq	(%rdx,%rax), %rcx
	movabsq	$-8543223828751151131, %rdx
	movq	%rcx, %rax
	imulq	%rdx
	leaq	(%rdx,%rcx), %rax
	sarq	$29, %rax
	movq	%rcx, %rdx
	sarq	$63, %rdx
	subq	%rdx, %rax
	imulq	$1000000007, %rax, %rdx
	movq	%rcx, %rax
	subq	%rdx, %rax
	movl	-20(%rbp), %edx
	movslq	%edx, %rdx
	leaq	0(,%rdx,8), %rcx
	leaq	f(%rip), %rdx
	movq	%rax, (%rcx,%rdx)
	movl	-20(%rbp), %eax
	cltq
	leaq	0(,%rax,8), %rdx
	leaq	g(%rip), %rax
	movq	(%rdx,%rax), %rdx
	movq	-8(%rbp), %rax
	movl	8(%rax), %eax
	cltq
	leaq	0(,%rax,8), %rcx
	leaq	f(%rip), %rax
	movq	(%rcx,%rax), %rax
	imulq	%rdx, %rax
	movl	-20(%rbp), %edx
	movslq	%edx, %rdx
	leaq	0(,%rdx,8), %rcx
	leaq	g(%rip), %rdx
	movq	%rax, (%rcx,%rdx)
	movl	-20(%rbp), %eax
	cltq
	leaq	0(,%rax,8), %rdx
	leaq	g(%rip), %rax
	movq	(%rdx,%rax), %rcx
	movabsq	$-8543223828751151131, %rdx
	movq	%rcx, %rax
	imulq	%rdx
	leaq	(%rdx,%rcx), %rax
	sarq	$29, %rax
	movq	%rcx, %rdx
	sarq	$63, %rdx
	subq	%rdx, %rax
	imulq	$1000000007, %rax, %rdx
	movq	%rcx, %rax
	subq	%rdx, %rax
	movl	-20(%rbp), %edx
	movslq	%edx, %rdx
	leaq	0(,%rdx,8), %rcx
	leaq	g(%rip), %rdx
	movq	%rax, (%rcx,%rdx)
.L14:
	movq	-8(%rbp), %rax
	movq	(%rax), %rax
	movq	%rax, -8(%rbp)
.L13:
	cmpq	$0, -8(%rbp)
	jne	.L15
	movl	-20(%rbp), %eax
	cltq
	leaq	0(,%rax,8), %rdx
	leaq	f(%rip), %rax
	movq	(%rdx,%rax), %rcx
	movl	-20(%rbp), %eax
	cltq
	leaq	0(,%rax,8), %rdx
	leaq	g(%rip), %rax
	movq	(%rdx,%rax), %rax
	addq	%rax, %rcx
	movl	-20(%rbp), %eax
	cltq
	leaq	0(,%rax,8), %rdx
	leaq	f(%rip), %rax
	movq	%rcx, (%rdx,%rax)
	movl	-20(%rbp), %eax
	cltq
	leaq	0(,%rax,8), %rdx
	leaq	f(%rip), %rax
	movq	(%rdx,%rax), %rcx
	movabsq	$-8543223828751151131, %rdx
	movq	%rcx, %rax
	imulq	%rdx
	leaq	(%rdx,%rcx), %rax
	sarq	$29, %rax
	movq	%rcx, %rdx
	sarq	$63, %rdx
	subq	%rdx, %rax
	imulq	$1000000007, %rax, %rdx
	movq	%rcx, %rax
	subq	%rdx, %rax
	movl	-20(%rbp), %edx
	movslq	%edx, %rdx
	leaq	0(,%rdx,8), %rcx
	leaq	f(%rip), %rdx
	movq	%rax, (%rcx,%rdx)
	nop
.L10:
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE8:
	.size	comb, .-comb
	.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	make
	.type	make, @function
make:
.LFB52:
	.cfi_startproc
	endbr64
	pushq	%rbx
	.cfi_def_cfa_offset 16
	.cfi_offset 3, -16
	movl	%edi, %ebx
	movl	$800040, %edi
	call	malloc@PLT
	movl	%ebx, 8(%rax)
	popq	%rbx
	.cfi_def_cfa_offset 8
	ret
	.cfi_endproc
.LFE52:
	.size	make, .-make
	.p2align 4
	.globl	comb
	.type	comb, @function
comb:
.LFB53:
	.cfi_startproc
	endbr64
	pushq	%r15
	.cfi_def_cfa_offset 16
	.cfi_offset 15, -16
	leaq	edge(%rip), %rax
	pushq	%r14
	.cfi_def_cfa_offset 24
	.cfi_offset 14, -24
	leaq	used(%rip), %r14
	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
	movslq	%edi, %rbp
	pushq	%rbx
	.cfi_def_cfa_offset 56
	.cfi_offset 3, -56
	subq	$8, %rsp
	.cfi_def_cfa_offset 64
	movq	(%rax,%rbp,8), %rbx
	movl	$1, (%r14,%rbp,4)
	testq	%rbx, %rbx
	je	.L15
	leaq	f(%rip), %r12
	leaq	g(%rip), %r13
	movabsq	$-8543223828751151131, %r15
	movq	$1, (%r12,%rbp,8)
	movq	$1, 0(%r13,%rbp,8)
.L10:
	movslq	8(%rbx), %rax
	movq	%rax, %rdi
	movl	(%r14,%rax,4), %eax
	testl	%eax, %eax
	je	.L16
	movq	(%rbx), %rbx
	testq	%rbx, %rbx
	jne	.L10
.L9:
	movabsq	$-8543223828751151131, %rdx
	movq	0(%r13,%rbp,8), %rcx
	addq	(%r12,%rbp,8), %rcx
	movq	%rcx, %rax
	imulq	%rdx
	movq	%rcx, %rax
	sarq	$63, %rax
	addq	%rcx, %rdx
	sarq	$29, %rdx
	subq	%rax, %rdx
	imulq	$1000000007, %rdx, %rdx
	subq	%rdx, %rcx
	movq	%rcx, (%r12,%rbp,8)
	addq	$8, %rsp
	.cfi_remember_state
	.cfi_def_cfa_offset 56
	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
.L16:
	.cfi_restore_state
	call	comb
	movslq	8(%rbx), %rsi
	movq	(%r12,%rbp,8), %rax
	movq	(%rbx), %rbx
	imulq	0(%r13,%rsi,8), %rax
	movq	%rax, %rcx
	imulq	%r15
	movq	%rcx, %rax
	sarq	$63, %rax
	addq	%rcx, %rdx
	sarq	$29, %rdx
	subq	%rax, %rdx
	movq	%rcx, %rax
	movq	0(%r13,%rbp,8), %rcx
	imulq	$1000000007, %rdx, %rdx
	subq	%rdx, %rax
	movq	%rax, (%r12,%rbp,8)
	imulq	(%r12,%rsi,8), %rcx
	movq	%rcx, %rax
	imulq	%r15
	movq	%rcx, %rax
	sarq	$63, %rax
	addq	%rcx, %rdx
	sarq	$29, %rdx
	subq	%rax, %rdx
	imulq	$1000000007, %rdx, %rdx
	subq	%rdx, %rcx
	movq	%rcx, 0(%r13,%rbp,8)
	testq	%rbx, %rbx
	jne	.L10
	jmp	.L9
	.p2align 4,,10
	.p2align 3
.L15:
	leaq	f(%rip), %rax
	movq	$2, (%rax,%rbp,8)
	leaq	g(%rip), %rax
	movq	$1, (%rax,%rbp,8)
	addq	$8, %rsp
	.cfi_def_cfa_offset 56
	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
.LFE53:
	.size	comb, .-comb
	.section	.rodata.str1.1,"aMS",@progbits,1
.LC0:
	.string	" \n"
.LC1:
	.string	"%lld\n"
	.section	.text.startup,"ax",@progbits
	.p2align 4
	.globl	main
	.type	main, @function
main:
.LFB51:
	.cfi_startproc
	endbr64
	pushq	%r15
	.cfi_def_cfa_offset 16
	.cfi_offset 15, -16
	movl	$100, %esi
	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	$136, %rsp
	.cfi_def_cfa_offset 192
	movq	stdin(%rip), %rdx
	movq	%fs:40, %rax
	movq	%rax, 120(%rsp)
	xorl	%eax, %eax
	leaq	16(%rsp), %r12
	movq	%r12, %rdi
	call	fgets@PLT
	movl	$10, %edx
	xorl	%esi, %esi
	movq	%r12, %rdi
	call	strtol@PLT
	movl	%eax, N(%rip)
	cmpl	$1, %eax
	jle	.L18
	subl	$2, %eax
	xorl	%esi, %esi
	leaq	8+edge(%rip), %rdi
	xorl	%ebp, %ebp
	leaq	8(,%rax,8), %rdx
	leaq	.LC0(%rip), %r14
	call	memset@PLT
	leaq	a(%rip), %r13
	leaq	edge(%rip), %r15
	.p2align 4,,10
	.p2align 3
.L19:
	movq	stdin(%rip), %rdx
	movl	$100, %esi
	movq	%r12, %rdi
	call	fgets@PLT
	movq	%r14, %rsi
	movq	%r12, %rdi
	call	strtok@PLT
	movl	$10, %edx
	xorl	%esi, %esi
	movq	%rax, %rdi
	call	strtol@PLT
	movq	%r14, %rsi
	xorl	%edi, %edi
	movl	%eax, 0(%r13,%rbp,4)
	call	strtok@PLT
	movl	$10, %edx
	xorl	%esi, %esi
	movq	%rax, %rdi
	call	strtol@PLT
	movl	$800040, %edi
	movq	%rax, %rbx
	leaq	b(%rip), %rax
	movl	%ebx, (%rax,%rbp,4)
	call	malloc@PLT
	movslq	0(%r13,%rbp,4), %rsi
	addq	$1, %rbp
	movl	%ebx, 8(%rax)
	movslq	%ebx, %rbx
	movq	(%r15,%rsi,8), %rdi
	movl	%esi, 12(%rsp)
	movq	%rax, (%r15,%rsi,8)
	movq	%rdi, (%rax)
	movl	$800040, %edi
	call	malloc@PLT
	movl	12(%rsp), %edx
	movl	%edx, 8(%rax)
	movq	(%r15,%rbx,8), %rdx
	movq	%rax, (%r15,%rbx,8)
	movq	%rdx, (%rax)
	movl	N(%rip), %eax
	subl	$1, %eax
	cmpl	%ebp, %eax
	jg	.L19
.L18:
	movl	$1, %edi
	call	comb
	movq	8+f(%rip), %rdx
	xorl	%eax, %eax
	leaq	.LC1(%rip), %rsi
	movl	$1, %edi
	call	__printf_chk@PLT
	movq	120(%rsp), %rax
	subq	%fs:40, %rax
	jne	.L23
	addq	$136, %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
.L23:
	.cfi_restore_state
	call	__stack_chk_fail@PLT
	.cfi_endproc
.LFE51:
	.size	main, .-main
	.globl	used
	.bss
	.align 32
	.type	used, @object
	.size	used, 400020
used:
	.zero	400020
	.globl	N
	.align 4
	.type	N, @object
	.size	N, 4
N:
	.zero	4
	.globl	b
	.align 32
	.type	b, @object
	.size	b, 400020
b:
	.zero	400020
	.globl	a
	.align 32
	.type	a, @object
	.size	a, 400020
a:
	.zero	400020
	.globl	g
	.align 32
	.type	g, @object
	.size	g, 800040
g:
	.zero	800040
	.globl	f
	.align 32
	.type	f, @object
	.size	f, 800040
f:
	.zero	800040
	.globl	edge
	.align 32
	.type	edge, @object
	.size	edge, 800040
edge:
	.zero	800040
	.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	make
	.type	make, @function
make:
.LFB52:
	.cfi_startproc
	endbr64
	pushq	%rbx
	.cfi_def_cfa_offset 16
	.cfi_offset 3, -16
	movl	%edi, %ebx
	movl	$800040, %edi
	call	malloc@PLT
	movl	%ebx, 8(%rax)
	popq	%rbx
	.cfi_def_cfa_offset 8
	ret
	.cfi_endproc
.LFE52:
	.size	make, .-make
	.p2align 4
	.globl	comb
	.type	comb, @function
comb:
.LFB53:
	.cfi_startproc
	endbr64
	pushq	%r15
	.cfi_def_cfa_offset 16
	.cfi_offset 15, -16
	leaq	edge(%rip), %rax
	pushq	%r14
	.cfi_def_cfa_offset 24
	.cfi_offset 14, -24
	leaq	used(%rip), %r14
	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
	movslq	%edi, %rbp
	pushq	%rbx
	.cfi_def_cfa_offset 56
	.cfi_offset 3, -56
	subq	$8, %rsp
	.cfi_def_cfa_offset 64
	movq	(%rax,%rbp,8), %rbx
	movl	$1, (%r14,%rbp,4)
	testq	%rbx, %rbx
	je	.L15
	leaq	f(%rip), %r12
	leaq	g(%rip), %r13
	movabsq	$-8543223828751151131, %r15
	movq	$1, (%r12,%rbp,8)
	movq	$1, 0(%r13,%rbp,8)
.L10:
	movslq	8(%rbx), %rax
	movq	%rax, %rdi
	movl	(%r14,%rax,4), %eax
	testl	%eax, %eax
	je	.L16
	movq	(%rbx), %rbx
	testq	%rbx, %rbx
	jne	.L10
.L9:
	movabsq	$-8543223828751151131, %rdx
	movq	0(%r13,%rbp,8), %rcx
	addq	(%r12,%rbp,8), %rcx
	movq	%rcx, %rax
	imulq	%rdx
	movq	%rcx, %rax
	sarq	$63, %rax
	addq	%rcx, %rdx
	sarq	$29, %rdx
	subq	%rax, %rdx
	imulq	$1000000007, %rdx, %rdx
	subq	%rdx, %rcx
	movq	%rcx, (%r12,%rbp,8)
	addq	$8, %rsp
	.cfi_remember_state
	.cfi_def_cfa_offset 56
	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
.L16:
	.cfi_restore_state
	call	comb
	movslq	8(%rbx), %rsi
	movq	(%r12,%rbp,8), %rax
	movq	(%rbx), %rbx
	imulq	0(%r13,%rsi,8), %rax
	movq	%rax, %rcx
	imulq	%r15
	movq	%rcx, %rax
	sarq	$63, %rax
	addq	%rcx, %rdx
	sarq	$29, %rdx
	subq	%rax, %rdx
	movq	%rcx, %rax
	movq	0(%r13,%rbp,8), %rcx
	imulq	$1000000007, %rdx, %rdx
	subq	%rdx, %rax
	movq	%rax, (%r12,%rbp,8)
	imulq	(%r12,%rsi,8), %rcx
	movq	%rcx, %rax
	imulq	%r15
	movq	%rcx, %rax
	sarq	$63, %rax
	addq	%rcx, %rdx
	sarq	$29, %rdx
	subq	%rax, %rdx
	imulq	$1000000007, %rdx, %rdx
	subq	%rdx, %rcx
	movq	%rcx, 0(%r13,%rbp,8)
	testq	%rbx, %rbx
	jne	.L10
	jmp	.L9
	.p2align 4,,10
	.p2align 3
.L15:
	leaq	f(%rip), %rax
	movq	$2, (%rax,%rbp,8)
	leaq	g(%rip), %rax
	movq	$1, (%rax,%rbp,8)
	addq	$8, %rsp
	.cfi_def_cfa_offset 56
	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
.LFE53:
	.size	comb, .-comb
	.section	.rodata.str1.1,"aMS",@progbits,1
.LC0:
	.string	" \n"
.LC1:
	.string	"%lld\n"
	.section	.text.startup,"ax",@progbits
	.p2align 4
	.globl	main
	.type	main, @function
main:
.LFB51:
	.cfi_startproc
	endbr64
	pushq	%r15
	.cfi_def_cfa_offset 16
	.cfi_offset 15, -16
	movl	$100, %esi
	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	$136, %rsp
	.cfi_def_cfa_offset 192
	movq	stdin(%rip), %rdx
	movq	%fs:40, %rax
	movq	%rax, 120(%rsp)
	xorl	%eax, %eax
	leaq	16(%rsp), %r12
	movq	%r12, %rdi
	call	fgets@PLT
	movl	$10, %edx
	xorl	%esi, %esi
	movq	%r12, %rdi
	call	strtol@PLT
	movl	%eax, N(%rip)
	cmpl	$1, %eax
	jle	.L18
	subl	$2, %eax
	xorl	%esi, %esi
	leaq	8+edge(%rip), %rdi
	xorl	%ebp, %ebp
	leaq	8(,%rax,8), %rdx
	leaq	.LC0(%rip), %r14
	call	memset@PLT
	leaq	a(%rip), %r13
	leaq	edge(%rip), %r15
	.p2align 4,,10
	.p2align 3
.L19:
	movq	stdin(%rip), %rdx
	movl	$100, %esi
	movq	%r12, %rdi
	call	fgets@PLT
	movq	%r14, %rsi
	movq	%r12, %rdi
	call	strtok@PLT
	movl	$10, %edx
	xorl	%esi, %esi
	movq	%rax, %rdi
	call	strtol@PLT
	movq	%r14, %rsi
	xorl	%edi, %edi
	movl	%eax, 0(%r13,%rbp,4)
	call	strtok@PLT
	movl	$10, %edx
	xorl	%esi, %esi
	movq	%rax, %rdi
	call	strtol@PLT
	movl	$800040, %edi
	movq	%rax, %rbx
	leaq	b(%rip), %rax
	movl	%ebx, (%rax,%rbp,4)
	call	malloc@PLT
	movslq	0(%r13,%rbp,4), %rsi
	addq	$1, %rbp
	movl	%ebx, 8(%rax)
	movslq	%ebx, %rbx
	movq	(%r15,%rsi,8), %rdi
	movl	%esi, 12(%rsp)
	movq	%rax, (%r15,%rsi,8)
	movq	%rdi, (%rax)
	movl	$800040, %edi
	call	malloc@PLT
	movl	12(%rsp), %edx
	movl	%edx, 8(%rax)
	movq	(%r15,%rbx,8), %rdx
	movq	%rax, (%r15,%rbx,8)
	movq	%rdx, (%rax)
	movl	N(%rip), %eax
	subl	$1, %eax
	cmpl	%ebp, %eax
	jg	.L19
.L18:
	movl	$1, %edi
	call	comb
	movq	8+f(%rip), %rdx
	xorl	%eax, %eax
	leaq	.LC1(%rip), %rsi
	movl	$1, %edi
	call	__printf_chk@PLT
	movq	120(%rsp), %rax
	subq	%fs:40, %rax
	jne	.L23
	addq	$136, %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
.L23:
	.cfi_restore_state
	call	__stack_chk_fail@PLT
	.cfi_endproc
.LFE51:
	.size	main, .-main
	.globl	used
	.bss
	.align 32
	.type	used, @object
	.size	used, 400020
used:
	.zero	400020
	.globl	N
	.align 4
	.type	N, @object
	.size	N, 4
N:
	.zero	4
	.globl	b
	.align 32
	.type	b, @object
	.size	b, 400020
b:
	.zero	400020
	.globl	a
	.align 32
	.type	a, @object
	.size	a, 400020
a:
	.zero	400020
	.globl	g
	.align 32
	.type	g, @object
	.size	g, 800040
g:
	.zero	800040
	.globl	f
	.align 32
	.type	f, @object
	.size	f, 800040
f:
	.zero	800040
	.globl	edge
	.align 32
	.type	edge, @object
	.size	edge, 800040
edge:
	.zero	800040
	.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>
#include <string.h>

#define INF 1000000007

typedef struct data{
  struct data *next;
  int end;
}cell;

cell *edge[100005];

long long f[100005],g[100005];
int a[100005],b[100005],N,used[100005];

cell *make(int b);
void comb(int i);

int main(void){
  int i,buff;
  char str[100],*p;
  cell *q;
  
  fgets(str,sizeof(str),stdin);
  N=atoi(str);
  
  for(i=1;i<N;i++){
    edge[i]=NULL;
  }
  
  for(i=0;i<N-1;i++){
    fgets(str,sizeof(str),stdin);
    p=strtok(str," \n");
    a[i]=atoi(p);
    p=strtok(NULL," \n");
    b[i]=atoi(p);
    q=make(b[i]);
    q->next=edge[a[i]],edge[a[i]]=q;
    q=make(a[i]);
    q->next=edge[b[i]],edge[b[i]]=q;
  }
  
  comb(1);
  
  printf("%lld\n",f[1]);
  
  return 0;
}


cell *make(int b){
  
  cell *p;
  p=malloc(sizeof(edge));
  p->end=b;
  
  return p;
}

void comb(int i){
  cell *q;
  int num=0;
  
  used[i]=1;
  
  q=edge[i];
  if(q==NULL){
    f[i]=2,g[i]=1;
    return;
  }
  
  f[i]=1,g[i]=1;
  
  
  while(q!=NULL){
    
    if(used[q->end]==0){
      comb(q->end);
      f[i]*=g[q->end];
      f[i]%=INF;
      g[i]*=f[q->end];
      g[i]%=INF;
    }
    q=q->next;
  }
  
  f[i]+=g[i],f[i]%=INF;
  
  return;
}

10
8 5
10 8
6 7
1 5
4 8
2 10
3 6
9 2
1 7
 10
8 3
10 8
6 7
1 5
4 8
2 10
3 6
9 2
1 3
 10
8 5
10 8
6 7
1 5
4 8
2 10
3 6
9 2
2 7
 10
8 5
10 8
6 7
1 5
4 10
2 10
3 6
9 2
2 7
 10
8 5
10 8
6 7
1 5
4 10
2 10
3 7
9 2
2 7
 10
8 5
10 8
6 7
1 5
4 8
2 10
3 6
9 3
2 7
 10
8 5
10 8
6 5
1 5
4 8
2 10
3 5
9 2
1 7
 10
8 5
10 8
6 7
1 5
4 8
2 10
3 4
9 3
2 7
 10
3 5
10 8
6 7
1 5
4 10
2 10
3 6
9 2
2 7
 10
3 5
10 8
6 10
1 5
4 10
2 10
3 6
9 2
2 7

154
 157
 164
 160
 170
 152
 176
 150
 162
 180

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>
#include <string.h>

#define INF 1000000007

typedef struct data{
  struct data *next;
  int end;
}cell;

cell *edge[100005];

long long f[100005],g[100005];
int a[100005],b[100005],N,used[100005];

cell *make(int b);
void comb(int i);

int main(void){
  int i,buff;
  char str[100],*p;
  cell *q;
  
  fgets(str,sizeof(str),stdin);
  N=atoi(str);
  
  for(i=1;i<N;i++){
    edge[i]=NULL;
  }
  
  for(i=0;i<N-1;i++){
    fgets(str,sizeof(str),stdin);
    p=strtok(str," \n");
    a[i]=atoi(p);
    p=strtok(NULL," \n");
    b[i]=atoi(p);
    q=make(b[i]);
    q->next=edge[a[i]],edge[a[i]]=q;
    q=make(a[i]);
    q->next=edge[b[i]],edge[b[i]]=q;
  }
  
  comb(1);
  
  printf("%lld\n",f[1]);
  
  return 0;
}


cell *make(int b){
  
  cell *p;
  p=malloc(sizeof(edge));
  p->end=b;
  
  return p;
}

void comb(int i){
  cell *q;
  int num=0;
  
  used[i]=1;
  
  q=edge[i];
  if(q==NULL){
    f[i]=2,g[i]=1;
    return;
  }
  
  f[i]=1,g[i]=1;
  
  
  while(q!=NULL){
    
    if(used[q->end]==0){
      comb(q->end);
      f[i]*=g[q->end];
      f[i]%=INF;
      g[i]*=f[q->end];
      g[i]%=INF;
    }
    q=q->next;
  }
  
  f[i]+=g[i],f[i]%=INF;
  
  return;
}
```

Unoptimized Assembly Code:

```assembly
	.file	"temp.c"
	.text
	.globl	edge
	.bss
	.align 32
	.type	edge, @object
	.size	edge, 800040
edge:
	.zero	800040
	.globl	f
	.align 32
	.type	f, @object
	.size	f, 800040
f:
	.zero	800040
	.globl	g
	.align 32
	.type	g, @object
	.size	g, 800040
g:
	.zero	800040
	.globl	a
	.align 32
	.type	a, @object
	.size	a, 400020
a:
	.zero	400020
	.globl	b
	.align 32
	.type	b, @object
	.size	b, 400020
b:
	.zero	400020
	.globl	N
	.align 4
	.type	N, @object
	.size	N, 4
N:
	.zero	4
	.globl	used
	.align 32
	.type	used, @object
	.size	used, 400020
used:
	.zero	400020
	.section	.rodata
.LC0:
	.string	" \n"
.LC1:
	.string	"%lld\n"
	.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
	subq	$144, %rsp
	movq	%fs:40, %rax
	movq	%rax, -8(%rbp)
	xorl	%eax, %eax
	movq	stdin(%rip), %rdx
	leaq	-112(%rbp), %rax
	movl	$100, %esi
	movq	%rax, %rdi
	call	fgets@PLT
	leaq	-112(%rbp), %rax
	movq	%rax, %rdi
	call	atoi@PLT
	movl	%eax, N(%rip)
	movl	$1, -132(%rbp)
	jmp	.L2
.L3:
	movl	-132(%rbp), %eax
	cltq
	leaq	0(,%rax,8), %rdx
	leaq	edge(%rip), %rax
	movq	$0, (%rdx,%rax)
	addl	$1, -132(%rbp)
.L2:
	movl	N(%rip), %eax
	cmpl	%eax, -132(%rbp)
	jl	.L3
	movl	$0, -132(%rbp)
	jmp	.L4
.L5:
	movq	stdin(%rip), %rdx
	leaq	-112(%rbp), %rax
	movl	$100, %esi
	movq	%rax, %rdi
	call	fgets@PLT
	leaq	-112(%rbp), %rax
	leaq	.LC0(%rip), %rdx
	movq	%rdx, %rsi
	movq	%rax, %rdi
	call	strtok@PLT
	movq	%rax, -128(%rbp)
	movq	-128(%rbp), %rax
	movq	%rax, %rdi
	call	atoi@PLT
	movl	-132(%rbp), %edx
	movslq	%edx, %rdx
	leaq	0(,%rdx,4), %rcx
	leaq	a(%rip), %rdx
	movl	%eax, (%rcx,%rdx)
	leaq	.LC0(%rip), %rax
	movq	%rax, %rsi
	movl	$0, %edi
	call	strtok@PLT
	movq	%rax, -128(%rbp)
	movq	-128(%rbp), %rax
	movq	%rax, %rdi
	call	atoi@PLT
	movl	-132(%rbp), %edx
	movslq	%edx, %rdx
	leaq	0(,%rdx,4), %rcx
	leaq	b(%rip), %rdx
	movl	%eax, (%rcx,%rdx)
	movl	-132(%rbp), %eax
	cltq
	leaq	0(,%rax,4), %rdx
	leaq	b(%rip), %rax
	movl	(%rdx,%rax), %eax
	movl	%eax, %edi
	call	make
	movq	%rax, -120(%rbp)
	movl	-132(%rbp), %eax
	cltq
	leaq	0(,%rax,4), %rdx
	leaq	a(%rip), %rax
	movl	(%rdx,%rax), %eax
	cltq
	leaq	0(,%rax,8), %rdx
	leaq	edge(%rip), %rax
	movq	(%rdx,%rax), %rdx
	movq	-120(%rbp), %rax
	movq	%rdx, (%rax)
	movl	-132(%rbp), %eax
	cltq
	leaq	0(,%rax,4), %rdx
	leaq	a(%rip), %rax
	movl	(%rdx,%rax), %eax
	cltq
	leaq	0(,%rax,8), %rcx
	leaq	edge(%rip), %rdx
	movq	-120(%rbp), %rax
	movq	%rax, (%rcx,%rdx)
	movl	-132(%rbp), %eax
	cltq
	leaq	0(,%rax,4), %rdx
	leaq	a(%rip), %rax
	movl	(%rdx,%rax), %eax
	movl	%eax, %edi
	call	make
	movq	%rax, -120(%rbp)
	movl	-132(%rbp), %eax
	cltq
	leaq	0(,%rax,4), %rdx
	leaq	b(%rip), %rax
	movl	(%rdx,%rax), %eax
	cltq
	leaq	0(,%rax,8), %rdx
	leaq	edge(%rip), %rax
	movq	(%rdx,%rax), %rdx
	movq	-120(%rbp), %rax
	movq	%rdx, (%rax)
	movl	-132(%rbp), %eax
	cltq
	leaq	0(,%rax,4), %rdx
	leaq	b(%rip), %rax
	movl	(%rdx,%rax), %eax
	cltq
	leaq	0(,%rax,8), %rcx
	leaq	edge(%rip), %rdx
	movq	-120(%rbp), %rax
	movq	%rax, (%rcx,%rdx)
	addl	$1, -132(%rbp)
.L4:
	movl	N(%rip), %eax
	subl	$1, %eax
	cmpl	%eax, -132(%rbp)
	jl	.L5
	movl	$1, %edi
	call	comb
	movq	8+f(%rip), %rax
	movq	%rax, %rsi
	leaq	.LC1(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	printf@PLT
	movl	$0, %eax
	movq	-8(%rbp), %rdx
	subq	%fs:40, %rdx
	je	.L7
	call	__stack_chk_fail@PLT
.L7:
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE6:
	.size	main, .-main
	.globl	make
	.type	make, @function
make:
.LFB7:
	.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	$800040, %edi
	call	malloc@PLT
	movq	%rax, -8(%rbp)
	movq	-8(%rbp), %rax
	movl	-20(%rbp), %edx
	movl	%edx, 8(%rax)
	movq	-8(%rbp), %rax
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE7:
	.size	make, .-make
	.globl	comb
	.type	comb, @function
comb:
.LFB8:
	.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	$0, -12(%rbp)
	movl	-20(%rbp), %eax
	cltq
	leaq	0(,%rax,4), %rdx
	leaq	used(%rip), %rax
	movl	$1, (%rdx,%rax)
	movl	-20(%rbp), %eax
	cltq
	leaq	0(,%rax,8), %rdx
	leaq	edge(%rip), %rax
	movq	(%rdx,%rax), %rax
	movq	%rax, -8(%rbp)
	cmpq	$0, -8(%rbp)
	jne	.L11
	movl	-20(%rbp), %eax
	cltq
	leaq	0(,%rax,8), %rdx
	leaq	f(%rip), %rax
	movq	$2, (%rdx,%rax)
	movl	-20(%rbp), %eax
	cltq
	leaq	0(,%rax,8), %rdx
	leaq	g(%rip), %rax
	movq	$1, (%rdx,%rax)
	jmp	.L10
.L11:
	movl	-20(%rbp), %eax
	cltq
	leaq	0(,%rax,8), %rdx
	leaq	f(%rip), %rax
	movq	$1, (%rdx,%rax)
	movl	-20(%rbp), %eax
	cltq
	leaq	0(,%rax,8), %rdx
	leaq	g(%rip), %rax
	movq	$1, (%rdx,%rax)
	jmp	.L13
.L15:
	movq	-8(%rbp), %rax
	movl	8(%rax), %eax
	cltq
	leaq	0(,%rax,4), %rdx
	leaq	used(%rip), %rax
	movl	(%rdx,%rax), %eax
	testl	%eax, %eax
	jne	.L14
	movq	-8(%rbp), %rax
	movl	8(%rax), %eax
	movl	%eax, %edi
	call	comb
	movl	-20(%rbp), %eax
	cltq
	leaq	0(,%rax,8), %rdx
	leaq	f(%rip), %rax
	movq	(%rdx,%rax), %rdx
	movq	-8(%rbp), %rax
	movl	8(%rax), %eax
	cltq
	leaq	0(,%rax,8), %rcx
	leaq	g(%rip), %rax
	movq	(%rcx,%rax), %rax
	imulq	%rdx, %rax
	movl	-20(%rbp), %edx
	movslq	%edx, %rdx
	leaq	0(,%rdx,8), %rcx
	leaq	f(%rip), %rdx
	movq	%rax, (%rcx,%rdx)
	movl	-20(%rbp), %eax
	cltq
	leaq	0(,%rax,8), %rdx
	leaq	f(%rip), %rax
	movq	(%rdx,%rax), %rcx
	movabsq	$-8543223828751151131, %rdx
	movq	%rcx, %rax
	imulq	%rdx
	leaq	(%rdx,%rcx), %rax
	sarq	$29, %rax
	movq	%rcx, %rdx
	sarq	$63, %rdx
	subq	%rdx, %rax
	imulq	$1000000007, %rax, %rdx
	movq	%rcx, %rax
	subq	%rdx, %rax
	movl	-20(%rbp), %edx
	movslq	%edx, %rdx
	leaq	0(,%rdx,8), %rcx
	leaq	f(%rip), %rdx
	movq	%rax, (%rcx,%rdx)
	movl	-20(%rbp), %eax
	cltq
	leaq	0(,%rax,8), %rdx
	leaq	g(%rip), %rax
	movq	(%rdx,%rax), %rdx
	movq	-8(%rbp), %rax
	movl	8(%rax), %eax
	cltq
	leaq	0(,%rax,8), %rcx
	leaq	f(%rip), %rax
	movq	(%rcx,%rax), %rax
	imulq	%rdx, %rax
	movl	-20(%rbp), %edx
	movslq	%edx, %rdx
	leaq	0(,%rdx,8), %rcx
	leaq	g(%rip), %rdx
	movq	%rax, (%rcx,%rdx)
	movl	-20(%rbp), %eax
	cltq
	leaq	0(,%rax,8), %rdx
	leaq	g(%rip), %rax
	movq	(%rdx,%rax), %rcx
	movabsq	$-8543223828751151131, %rdx
	movq	%rcx, %rax
	imulq	%rdx
	leaq	(%rdx,%rcx), %rax
	sarq	$29, %rax
	movq	%rcx, %rdx
	sarq	$63, %rdx
	subq	%rdx, %rax
	imulq	$1000000007, %rax, %rdx
	movq	%rcx, %rax
	subq	%rdx, %rax
	movl	-20(%rbp), %edx
	movslq	%edx, %rdx
	leaq	0(,%rdx,8), %rcx
	leaq	g(%rip), %rdx
	movq	%rax, (%rcx,%rdx)
.L14:
	movq	-8(%rbp), %rax
	movq	(%rax), %rax
	movq	%rax, -8(%rbp)
.L13:
	cmpq	$0, -8(%rbp)
	jne	.L15
	movl	-20(%rbp), %eax
	cltq
	leaq	0(,%rax,8), %rdx
	leaq	f(%rip), %rax
	movq	(%rdx,%rax), %rcx
	movl	-20(%rbp), %eax
	cltq
	leaq	0(,%rax,8), %rdx
	leaq	g(%rip), %rax
	movq	(%rdx,%rax), %rax
	addq	%rax, %rcx
	movl	-20(%rbp), %eax
	cltq
	leaq	0(,%rax,8), %rdx
	leaq	f(%rip), %rax
	movq	%rcx, (%rdx,%rax)
	movl	-20(%rbp), %eax
	cltq
	leaq	0(,%rax,8), %rdx
	leaq	f(%rip), %rax
	movq	(%rdx,%rax), %rcx
	movabsq	$-8543223828751151131, %rdx
	movq	%rcx, %rax
	imulq	%rdx
	leaq	(%rdx,%rcx), %rax
	sarq	$29, %rax
	movq	%rcx, %rdx
	sarq	$63, %rdx
	subq	%rdx, %rax
	imulq	$1000000007, %rax, %rdx
	movq	%rcx, %rax
	subq	%rdx, %rax
	movl	-20(%rbp), %edx
	movslq	%edx, %rdx
	leaq	0(,%rdx,8), %rcx
	leaq	f(%rip), %rdx
	movq	%rax, (%rcx,%rdx)
	nop
.L10:
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE8:
	.size	comb, .-comb
	.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	edge
	.bss
	.align 32
	.type	edge, @object
	.size	edge, 800040
edge:
	.zero	800040
	.globl	f
	.align 32
	.type	f, @object
	.size	f, 800040
f:
	.zero	800040
	.globl	g
	.align 32
	.type	g, @object
	.size	g, 800040
g:
	.zero	800040
	.globl	a
	.align 32
	.type	a, @object
	.size	a, 400020
a:
	.zero	400020
	.globl	b
	.align 32
	.type	b, @object
	.size	b, 400020
b:
	.zero	400020
	.globl	N
	.align 4
	.type	N, @object
	.size	N, 4
N:
	.zero	4
	.globl	used
	.align 32
	.type	used, @object
	.size	used, 400020
used:
	.zero	400020
	.section	.rodata
.LC0:
	.string	" \n"
.LC1:
	.string	"%lld\n"
	.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
	subq	$144, %rsp
	movq	%fs:40, %rax
	movq	%rax, -8(%rbp)
	xorl	%eax, %eax
	movq	stdin(%rip), %rdx
	leaq	-112(%rbp), %rax
	movl	$100, %esi
	movq	%rax, %rdi
	call	fgets@PLT
	leaq	-112(%rbp), %rax
	movq	%rax, %rdi
	call	atoi@PLT
	movl	%eax, N(%rip)
	movl	$1, -132(%rbp)
	jmp	.L2
.L3:
	movl	-132(%rbp), %eax
	cltq
	leaq	0(,%rax,8), %rdx
	leaq	edge(%rip), %rax
	movq	$0, (%rdx,%rax)
	addl	$1, -132(%rbp)
.L2:
	movl	N(%rip), %eax
	cmpl	%eax, -132(%rbp)
	jl	.L3
	movl	$0, -132(%rbp)
	jmp	.L4
.L5:
	movq	stdin(%rip), %rdx
	leaq	-112(%rbp), %rax
	movl	$100, %esi
	movq	%rax, %rdi
	call	fgets@PLT
	leaq	-112(%rbp), %rax
	leaq	.LC0(%rip), %rdx
	movq	%rdx, %rsi
	movq	%rax, %rdi
	call	strtok@PLT
	movq	%rax, -128(%rbp)
	movq	-128(%rbp), %rax
	movq	%rax, %rdi
	call	atoi@PLT
	movl	-132(%rbp), %edx
	movslq	%edx, %rdx
	leaq	0(,%rdx,4), %rcx
	leaq	a(%rip), %rdx
	movl	%eax, (%rcx,%rdx)
	leaq	.LC0(%rip), %rax
	movq	%rax, %rsi
	movl	$0, %edi
	call	strtok@PLT
	movq	%rax, -128(%rbp)
	movq	-128(%rbp), %rax
	movq	%rax, %rdi
	call	atoi@PLT
	movl	-132(%rbp), %edx
	movslq	%edx, %rdx
	leaq	0(,%rdx,4), %rcx
	leaq	b(%rip), %rdx
	movl	%eax, (%rcx,%rdx)
	movl	-132(%rbp), %eax
	cltq
	leaq	0(,%rax,4), %rdx
	leaq	b(%rip), %rax
	movl	(%rdx,%rax), %eax
	movl	%eax, %edi
	call	make
	movq	%rax, -120(%rbp)
	movl	-132(%rbp), %eax
	cltq
	leaq	0(,%rax,4), %rdx
	leaq	a(%rip), %rax
	movl	(%rdx,%rax), %eax
	cltq
	leaq	0(,%rax,8), %rdx
	leaq	edge(%rip), %rax
	movq	(%rdx,%rax), %rdx
	movq	-120(%rbp), %rax
	movq	%rdx, (%rax)
	movl	-132(%rbp), %eax
	cltq
	leaq	0(,%rax,4), %rdx
	leaq	a(%rip), %rax
	movl	(%rdx,%rax), %eax
	cltq
	leaq	0(,%rax,8), %rcx
	leaq	edge(%rip), %rdx
	movq	-120(%rbp), %rax
	movq	%rax, (%rcx,%rdx)
	movl	-132(%rbp), %eax
	cltq
	leaq	0(,%rax,4), %rdx
	leaq	a(%rip), %rax
	movl	(%rdx,%rax), %eax
	movl	%eax, %edi
	call	make
	movq	%rax, -120(%rbp)
	movl	-132(%rbp), %eax
	cltq
	leaq	0(,%rax,4), %rdx
	leaq	b(%rip), %rax
	movl	(%rdx,%rax), %eax
	cltq
	leaq	0(,%rax,8), %rdx
	leaq	edge(%rip), %rax
	movq	(%rdx,%rax), %rdx
	movq	-120(%rbp), %rax
	movq	%rdx, (%rax)
	movl	-132(%rbp), %eax
	cltq
	leaq	0(,%rax,4), %rdx
	leaq	b(%rip), %rax
	movl	(%rdx,%rax), %eax
	cltq
	leaq	0(,%rax,8), %rcx
	leaq	edge(%rip), %rdx
	movq	-120(%rbp), %rax
	movq	%rax, (%rcx,%rdx)
	addl	$1, -132(%rbp)
.L4:
	movl	N(%rip), %eax
	subl	$1, %eax
	cmpl	%eax, -132(%rbp)
	jl	.L5
	movl	$1, %edi
	call	comb
	movq	8+f(%rip), %rax
	movq	%rax, %rsi
	leaq	.LC1(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	printf@PLT
	movl	$0, %eax
	movq	-8(%rbp), %rdx
	subq	%fs:40, %rdx
	je	.L7
	call	__stack_chk_fail@PLT
.L7:
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE6:
	.size	main, .-main
	.globl	make
	.type	make, @function
make:
.LFB7:
	.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	$800040, %edi
	call	malloc@PLT
	movq	%rax, -8(%rbp)
	movq	-8(%rbp), %rax
	movl	-20(%rbp), %edx
	movl	%edx, 8(%rax)
	movq	-8(%rbp), %rax
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE7:
	.size	make, .-make
	.globl	comb
	.type	comb, @function
comb:
.LFB8:
	.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	$0, -12(%rbp)
	movl	-20(%rbp), %eax
	cltq
	leaq	0(,%rax,4), %rdx
	leaq	used(%rip), %rax
	movl	$1, (%rdx,%rax)
	movl	-20(%rbp), %eax
	cltq
	leaq	0(,%rax,8), %rdx
	leaq	edge(%rip), %rax
	movq	(%rdx,%rax), %rax
	movq	%rax, -8(%rbp)
	cmpq	$0, -8(%rbp)
	jne	.L11
	movl	-20(%rbp), %eax
	cltq
	leaq	0(,%rax,8), %rdx
	leaq	f(%rip), %rax
	movq	$2, (%rdx,%rax)
	movl	-20(%rbp), %eax
	cltq
	leaq	0(,%rax,8), %rdx
	leaq	g(%rip), %rax
	movq	$1, (%rdx,%rax)
	jmp	.L10
.L11:
	movl	-20(%rbp), %eax
	cltq
	leaq	0(,%rax,8), %rdx
	leaq	f(%rip), %rax
	movq	$1, (%rdx,%rax)
	movl	-20(%rbp), %eax
	cltq
	leaq	0(,%rax,8), %rdx
	leaq	g(%rip), %rax
	movq	$1, (%rdx,%rax)
	jmp	.L13
.L15:
	movq	-8(%rbp), %rax
	movl	8(%rax), %eax
	cltq
	leaq	0(,%rax,4), %rdx
	leaq	used(%rip), %rax
	movl	(%rdx,%rax), %eax
	testl	%eax, %eax
	jne	.L14
	movq	-8(%rbp), %rax
	movl	8(%rax), %eax
	movl	%eax, %edi
	call	comb
	movl	-20(%rbp), %eax
	cltq
	leaq	0(,%rax,8), %rdx
	leaq	f(%rip), %rax
	movq	(%rdx,%rax), %rdx
	movq	-8(%rbp), %rax
	movl	8(%rax), %eax
	cltq
	leaq	0(,%rax,8), %rcx
	leaq	g(%rip), %rax
	movq	(%rcx,%rax), %rax
	imulq	%rdx, %rax
	movl	-20(%rbp), %edx
	movslq	%edx, %rdx
	leaq	0(,%rdx,8), %rcx
	leaq	f(%rip), %rdx
	movq	%rax, (%rcx,%rdx)
	movl	-20(%rbp), %eax
	cltq
	leaq	0(,%rax,8), %rdx
	leaq	f(%rip), %rax
	movq	(%rdx,%rax), %rcx
	movabsq	$-8543223828751151131, %rdx
	movq	%rcx, %rax
	imulq	%rdx
	leaq	(%rdx,%rcx), %rax
	sarq	$29, %rax
	movq	%rcx, %rdx
	sarq	$63, %rdx
	subq	%rdx, %rax
	imulq	$1000000007, %rax, %rdx
	movq	%rcx, %rax
	subq	%rdx, %rax
	movl	-20(%rbp), %edx
	movslq	%edx, %rdx
	leaq	0(,%rdx,8), %rcx
	leaq	f(%rip), %rdx
	movq	%rax, (%rcx,%rdx)
	movl	-20(%rbp), %eax
	cltq
	leaq	0(,%rax,8), %rdx
	leaq	g(%rip), %rax
	movq	(%rdx,%rax), %rdx
	movq	-8(%rbp), %rax
	movl	8(%rax), %eax
	cltq
	leaq	0(,%rax,8), %rcx
	leaq	f(%rip), %rax
	movq	(%rcx,%rax), %rax
	imulq	%rdx, %rax
	movl	-20(%rbp), %edx
	movslq	%edx, %rdx
	leaq	0(,%rdx,8), %rcx
	leaq	g(%rip), %rdx
	movq	%rax, (%rcx,%rdx)
	movl	-20(%rbp), %eax
	cltq
	leaq	0(,%rax,8), %rdx
	leaq	g(%rip), %rax
	movq	(%rdx,%rax), %rcx
	movabsq	$-8543223828751151131, %rdx
	movq	%rcx, %rax
	imulq	%rdx
	leaq	(%rdx,%rcx), %rax
	sarq	$29, %rax
	movq	%rcx, %rdx
	sarq	$63, %rdx
	subq	%rdx, %rax
	imulq	$1000000007, %rax, %rdx
	movq	%rcx, %rax
	subq	%rdx, %rax
	movl	-20(%rbp), %edx
	movslq	%edx, %rdx
	leaq	0(,%rdx,8), %rcx
	leaq	g(%rip), %rdx
	movq	%rax, (%rcx,%rdx)
.L14:
	movq	-8(%rbp), %rax
	movq	(%rax), %rax
	movq	%rax, -8(%rbp)
.L13:
	cmpq	$0, -8(%rbp)
	jne	.L15
	movl	-20(%rbp), %eax
	cltq
	leaq	0(,%rax,8), %rdx
	leaq	f(%rip), %rax
	movq	(%rdx,%rax), %rcx
	movl	-20(%rbp), %eax
	cltq
	leaq	0(,%rax,8), %rdx
	leaq	g(%rip), %rax
	movq	(%rdx,%rax), %rax
	addq	%rax, %rcx
	movl	-20(%rbp), %eax
	cltq
	leaq	0(,%rax,8), %rdx
	leaq	f(%rip), %rax
	movq	%rcx, (%rdx,%rax)
	movl	-20(%rbp), %eax
	cltq
	leaq	0(,%rax,8), %rdx
	leaq	f(%rip), %rax
	movq	(%rdx,%rax), %rcx
	movabsq	$-8543223828751151131, %rdx
	movq	%rcx, %rax
	imulq	%rdx
	leaq	(%rdx,%rcx), %rax
	sarq	$29, %rax
	movq	%rcx, %rdx
	sarq	$63, %rdx
	subq	%rdx, %rax
	imulq	$1000000007, %rax, %rdx
	movq	%rcx, %rax
	subq	%rdx, %rax
	movl	-20(%rbp), %edx
	movslq	%edx, %rdx
	leaq	0(,%rdx,8), %rcx
	leaq	f(%rip), %rdx
	movq	%rax, (%rcx,%rdx)
	nop
.L10:
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE8:
	.size	comb, .-comb
	.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:
