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 <string.h>
#include <stdlib.h>
#include <math.h>
#define MAX(X, Y) (((X) > (Y))? (X) : (Y))
#define MIN(X, Y) (((X) < (Y))? (X) : (Y))
int compare_int(const void *a, const void *b){
  return *(long int*)b - *(long int*)a; // 大きい順
}
int compare_int_small(const void *a, const void *b){
  return *(long int*)a - *(long int*)b; // 小さい順
}
// 公約数
long int gcd(long int a, long int b){
  if(b == 0){
    return a;
  }else{
    return gcd(b, a % b);
  }
}
// 最小公倍数 = a * b / 最大公約数
// 公倍数
long int lcm(long int a, long int b){
  return a * b / gcd(a, b);
}



// min
int main(void){

  long int a, b;
  long int y[100001] = {0};
  long int cnt = 0;
  long int yakusu;
  long int ans = 0;;

  scanf("%ld%ld", &a, &b);

  // 最大公約数を求める
  yakusu = gcd(a, b);

  if(yakusu == 1){
    printf("1\n");
    return 0;
  }

  /*
  y[0] = yakusu;
  cnt++;
  */
  /*
  // 最大公約数より小さい数たちが公約数
  for(long int i = yakusu - 1; i > 0; i--){
    if(yakusu % i == 0){
      y[cnt] = i;
      cnt++;
    }
  }
  */
  /*
  // 約数となる値を詰めてみた
  // 配列への詰め方を変更
  for(long int i = 1; i*i <=  yakusu; i++){
    if(yakusu % i == 0){
      y[cnt] = i;
      cnt++;
      //      if(i != 1){
	y[cnt] = yakusu / i;
	cnt++;
	//      }
    }
  }
  */
  //  qsort(y, cnt, sizeof(long int), compare_int);

  /*
  for(int i= 0; i < cnt; i++){
    //    printf("%ld\n", y[i]);
  }
  */

  /*
  // お互いに素の組合せを数える
  for(long int i = 0; i < cnt; i++){
    for(long int j = i + 1; j < cnt; j++){
      //      printf("y[%ld] = %ld, y[%ld] = %ld\n", i, y[i], j,y[j]);
      if(y[i] % y[j] == 0 && y[j] != 1){
	break;
      }else{
	//	printf("++\n");
	if(j == cnt - 1){
	  ans++;
	  //	  printf("OK++\n");
	}
      }
    }
  }
  */

  // 素因数分解して、その時に出てきた数が何かを求める
  // 1 は必ず割り切れるので、2から計算始める
  // i * i なのは　n が100の時、約数は10 * 10を境に、、、
  long int n = yakusu;
  for(long int i = 2; i * i <= n; i++){
    if(n % i == 0){
      y[i]++;
      ans++;
      while(n % i == 0){
	n /= i;
      }
    }
  }
  // 割り切れなかった数も素数
  if(n != 1){
    y[n]++;
    ans++;
  }
  

  // あ、そっか。答えにはy[]で求めた値は本当に何も使わないのか、、
  
  // 1の分
  ans++;
  printf("%ld\n", ans);
  return 0;
}
```

Unoptimized Assembly Code:

```assembly
	.file	"temp.c"
	.text
	.globl	compare_int
	.type	compare_int, @function
compare_int:
.LFB6:
	.cfi_startproc
	endbr64
	pushq	%rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	movq	%rsp, %rbp
	.cfi_def_cfa_register 6
	movq	%rdi, -8(%rbp)
	movq	%rsi, -16(%rbp)
	movq	-16(%rbp), %rax
	movq	(%rax), %rax
	movl	%eax, %edx
	movq	-8(%rbp), %rax
	movq	(%rax), %rax
	movl	%eax, %ecx
	movl	%edx, %eax
	subl	%ecx, %eax
	popq	%rbp
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE6:
	.size	compare_int, .-compare_int
	.globl	compare_int_small
	.type	compare_int_small, @function
compare_int_small:
.LFB7:
	.cfi_startproc
	endbr64
	pushq	%rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	movq	%rsp, %rbp
	.cfi_def_cfa_register 6
	movq	%rdi, -8(%rbp)
	movq	%rsi, -16(%rbp)
	movq	-8(%rbp), %rax
	movq	(%rax), %rax
	movl	%eax, %edx
	movq	-16(%rbp), %rax
	movq	(%rax), %rax
	movl	%eax, %ecx
	movl	%edx, %eax
	subl	%ecx, %eax
	popq	%rbp
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE7:
	.size	compare_int_small, .-compare_int_small
	.globl	gcd
	.type	gcd, @function
gcd:
.LFB8:
	.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
	movq	%rdi, -8(%rbp)
	movq	%rsi, -16(%rbp)
	cmpq	$0, -16(%rbp)
	jne	.L6
	movq	-8(%rbp), %rax
	jmp	.L7
.L6:
	movq	-8(%rbp), %rax
	cqto
	idivq	-16(%rbp)
	movq	-16(%rbp), %rax
	movq	%rdx, %rsi
	movq	%rax, %rdi
	call	gcd
.L7:
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE8:
	.size	gcd, .-gcd
	.globl	lcm
	.type	lcm, @function
lcm:
.LFB9:
	.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	$24, %rsp
	.cfi_offset 3, -24
	movq	%rdi, -24(%rbp)
	movq	%rsi, -32(%rbp)
	movq	-24(%rbp), %rax
	imulq	-32(%rbp), %rax
	movq	%rax, %rbx
	movq	-32(%rbp), %rdx
	movq	-24(%rbp), %rax
	movq	%rdx, %rsi
	movq	%rax, %rdi
	call	gcd
	movq	%rax, %rcx
	movq	%rbx, %rax
	cqto
	idivq	%rcx
	movq	-8(%rbp), %rbx
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE9:
	.size	lcm, .-lcm
	.section	.rodata
.LC0:
	.string	"%ld%ld"
.LC1:
	.string	"1"
.LC2:
	.string	"%ld\n"
	.text
	.globl	main
	.type	main, @function
main:
.LFB10:
	.cfi_startproc
	endbr64
	pushq	%rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	movq	%rsp, %rbp
	.cfi_def_cfa_register 6
	leaq	-798720(%rsp), %r11
.LPSRL0:
	subq	$4096, %rsp
	orq	$0, (%rsp)
	cmpq	%r11, %rsp
	jne	.LPSRL0
	subq	$1360, %rsp
	movq	%fs:40, %rax
	movq	%rax, -8(%rbp)
	xorl	%eax, %eax
	leaq	-800016(%rbp), %rax
	movl	$800008, %edx
	movl	$0, %esi
	movq	%rax, %rdi
	call	memset@PLT
	movq	$0, -800032(%rbp)
	movq	$0, -800056(%rbp)
	leaq	-800064(%rbp), %rdx
	leaq	-800072(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movq	-800064(%rbp), %rdx
	movq	-800072(%rbp), %rax
	movq	%rdx, %rsi
	movq	%rax, %rdi
	call	gcd
	movq	%rax, -800024(%rbp)
	cmpq	$1, -800024(%rbp)
	jne	.L11
	leaq	.LC1(%rip), %rax
	movq	%rax, %rdi
	call	puts@PLT
	movl	$0, %eax
	jmp	.L19
.L11:
	movq	-800024(%rbp), %rax
	movq	%rax, -800048(%rbp)
	movq	$2, -800040(%rbp)
	jmp	.L13
.L17:
	movq	-800048(%rbp), %rax
	cqto
	idivq	-800040(%rbp)
	movq	%rdx, %rax
	testq	%rax, %rax
	jne	.L14
	movq	-800040(%rbp), %rax
	movq	-800016(%rbp,%rax,8), %rax
	leaq	1(%rax), %rdx
	movq	-800040(%rbp), %rax
	movq	%rdx, -800016(%rbp,%rax,8)
	addq	$1, -800056(%rbp)
	jmp	.L15
.L16:
	movq	-800048(%rbp), %rax
	cqto
	idivq	-800040(%rbp)
	movq	%rax, -800048(%rbp)
.L15:
	movq	-800048(%rbp), %rax
	cqto
	idivq	-800040(%rbp)
	movq	%rdx, %rax
	testq	%rax, %rax
	je	.L16
.L14:
	addq	$1, -800040(%rbp)
.L13:
	movq	-800040(%rbp), %rax
	imulq	%rax, %rax
	cmpq	%rax, -800048(%rbp)
	jge	.L17
	cmpq	$1, -800048(%rbp)
	je	.L18
	movq	-800048(%rbp), %rax
	movq	-800016(%rbp,%rax,8), %rax
	leaq	1(%rax), %rdx
	movq	-800048(%rbp), %rax
	movq	%rdx, -800016(%rbp,%rax,8)
	addq	$1, -800056(%rbp)
.L18:
	addq	$1, -800056(%rbp)
	movq	-800056(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC2(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	printf@PLT
	movl	$0, %eax
.L19:
	movq	-8(%rbp), %rdx
	subq	%fs:40, %rdx
	je	.L20
	call	__stack_chk_fail@PLT
.L20:
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE10:
	.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	compare_int
	.type	compare_int, @function
compare_int:
.LFB51:
	.cfi_startproc
	endbr64
	movq	(%rsi), %rax
	subl	(%rdi), %eax
	ret
	.cfi_endproc
.LFE51:
	.size	compare_int, .-compare_int
	.p2align 4
	.globl	compare_int_small
	.type	compare_int_small, @function
compare_int_small:
.LFB52:
	.cfi_startproc
	endbr64
	movq	(%rdi), %rax
	subl	(%rsi), %eax
	ret
	.cfi_endproc
.LFE52:
	.size	compare_int_small, .-compare_int_small
	.p2align 4
	.globl	gcd
	.type	gcd, @function
gcd:
.LFB53:
	.cfi_startproc
	endbr64
	movq	%rdi, %rax
	movq	%rsi, %r8
	testq	%rsi, %rsi
	jne	.L5
	jmp	.L12
	.p2align 4,,10
	.p2align 3
.L13:
	movq	%rdx, %r8
.L5:
	cqto
	idivq	%r8
	movq	%r8, %rax
	testq	%rdx, %rdx
	jne	.L13
	movq	%r8, %rax
	ret
	.p2align 4,,10
	.p2align 3
.L12:
	movq	%rdi, %r8
	movq	%r8, %rax
	ret
	.cfi_endproc
.LFE53:
	.size	gcd, .-gcd
	.p2align 4
	.globl	lcm
	.type	lcm, @function
lcm:
.LFB54:
	.cfi_startproc
	endbr64
	movq	%rdi, %rcx
	movq	%rdi, %rax
	imulq	%rsi, %rcx
	testq	%rsi, %rsi
	jne	.L15
	jmp	.L19
	.p2align 4,,10
	.p2align 3
.L17:
	movq	%rdx, %rsi
.L15:
	cqto
	idivq	%rsi
	movq	%rsi, %rax
	testq	%rdx, %rdx
	jne	.L17
	movq	%rcx, %rax
	cqto
	idivq	%rsi
	ret
	.p2align 4,,10
	.p2align 3
.L19:
	xorl	%eax, %eax
	ret
	.cfi_endproc
.LFE54:
	.size	lcm, .-lcm
	.section	.rodata.str1.1,"aMS",@progbits,1
.LC0:
	.string	"%ld%ld"
.LC1:
	.string	"1"
.LC2:
	.string	"%ld\n"
	.section	.text.startup,"ax",@progbits
	.p2align 4
	.globl	main
	.type	main, @function
main:
.LFB55:
	.cfi_startproc
	endbr64
	subq	$40, %rsp
	.cfi_def_cfa_offset 48
	leaq	.LC0(%rip), %rdi
	movq	%fs:40, %rax
	movq	%rax, 24(%rsp)
	xorl	%eax, %eax
	leaq	16(%rsp), %rdx
	leaq	8(%rsp), %rsi
	call	__isoc99_scanf@PLT
	movq	16(%rsp), %rcx
	movq	8(%rsp), %rax
	testq	%rcx, %rcx
	jne	.L21
	jmp	.L44
	.p2align 4,,10
	.p2align 3
.L45:
	movq	%rdx, %rcx
.L21:
	cqto
	idivq	%rcx
	movq	%rcx, %rax
	testq	%rdx, %rdx
	jne	.L45
.L25:
	cmpq	$1, %rcx
	je	.L22
	movl	$2, %esi
	xorl	%edi, %edi
	cmpq	$3, %rcx
	jg	.L23
	jmp	.L24
	.p2align 4,,10
	.p2align 3
.L27:
	addq	$1, %rsi
	movq	%rsi, %rax
	imulq	%rsi, %rax
	cmpq	%rcx, %rax
	jg	.L46
.L23:
	movq	%rcx, %rax
	cqto
	idivq	%rsi
	testq	%rdx, %rdx
	jne	.L27
	.p2align 4,,10
	.p2align 3
.L28:
	movq	%rcx, %rax
	cqto
	idivq	%rsi
	cqto
	movq	%rax, %rcx
	idivq	%rsi
	testq	%rdx, %rdx
	je	.L28
	addq	$1, %rsi
	addq	$1, %rdi
	movq	%rsi, %rax
	imulq	%rsi, %rax
	cmpq	%rcx, %rax
	jle	.L23
.L46:
	cmpq	$1, %rcx
	je	.L29
.L24:
	addq	$1, %rdi
.L29:
	leaq	1(%rdi), %rdx
	leaq	.LC2(%rip), %rsi
	movl	$1, %edi
	xorl	%eax, %eax
	call	__printf_chk@PLT
.L26:
	movq	24(%rsp), %rax
	subq	%fs:40, %rax
	jne	.L47
	xorl	%eax, %eax
	addq	$40, %rsp
	.cfi_remember_state
	.cfi_def_cfa_offset 8
	ret
.L22:
	.cfi_restore_state
	leaq	.LC1(%rip), %rdi
	call	puts@PLT
	jmp	.L26
.L44:
	movq	%rax, %rcx
	jmp	.L25
.L47:
	call	__stack_chk_fail@PLT
	.cfi_endproc
.LFE55:
	.size	main, .-main
	.ident	"GCC: (Ubuntu 11.4.0-1ubuntu1~22.04) 11.4.0"
	.section	.note.GNU-stack,"",@progbits
	.section	.note.gnu.property,"a"
	.align 8
	.long	1f - 0f
	.long	4f - 1f
	.long	5
0:
	.string	"GNU"
1:
	.align 8
	.long	0xc0000002
	.long	3f - 2f
2:
	.long	0x3
3:
	.align 8
4:

rule
	.file	"temp.c"
	.text
	.p2align 4
	.globl	compare_int
	.type	compare_int, @function
compare_int:
.LFB51:
	.cfi_startproc
	endbr64
	movq	(%rsi), %rax
	subl	(%rdi), %eax
	ret
	.cfi_endproc
.LFE51:
	.size	compare_int, .-compare_int
	.p2align 4
	.globl	compare_int_small
	.type	compare_int_small, @function
compare_int_small:
.LFB52:
	.cfi_startproc
	endbr64
	movq	(%rdi), %rax
	subl	(%rsi), %eax
	ret
	.cfi_endproc
.LFE52:
	.size	compare_int_small, .-compare_int_small
	.p2align 4
	.globl	gcd
	.type	gcd, @function
gcd:
.LFB53:
	.cfi_startproc
	endbr64
	movq	%rdi, %rax
	movq	%rsi, %r8
	testq	%rsi, %rsi
	jne	.L5
	jmp	.L12
	.p2align 4,,10
	.p2align 3
.L13:
	movq	%rdx, %r8
.L5:
	cqto
	idivq	%r8
	movq	%r8, %rax
	testq	%rdx, %rdx
	jne	.L13
	movq	%r8, %rax
	ret
	.p2align 4,,10
	.p2align 3
.L12:
	movq	%rdi, %r8
	movq	%r8, %rax
	ret
	.cfi_endproc
.LFE53:
	.size	gcd, .-gcd
	.p2align 4
	.globl	lcm
	.type	lcm, @function
lcm:
.LFB54:
	.cfi_startproc
	endbr64
	movq	%rdi, %rcx
	movq	%rdi, %rax
	imulq	%rsi, %rcx
	testq	%rsi, %rsi
	jne	.L15
	jmp	.L19
	.p2align 4,,10
	.p2align 3
.L17:
	movq	%rdx, %rsi
.L15:
	cqto
	idivq	%rsi
	movq	%rsi, %rax
	testq	%rdx, %rdx
	jne	.L17
	movq	%rcx, %rax
	cqto
	idivq	%rsi
	ret
	.p2align 4,,10
	.p2align 3
.L19:
	xorl	%eax, %eax
	ret
	.cfi_endproc
.LFE54:
	.size	lcm, .-lcm
	.section	.rodata.str1.1,"aMS",@progbits,1
.LC0:
	.string	"%ld%ld"
.LC1:
	.string	"1"
.LC2:
	.string	"%ld\n"
	.section	.text.startup,"ax",@progbits
	.p2align 4
	.globl	main
	.type	main, @function
main:
.LFB55:
	.cfi_startproc
	endbr64
	subq	$40, %rsp
	.cfi_def_cfa_offset 48
	leaq	.LC0(%rip), %rdi
	movq	%fs:40, %rax
	movq	%rax, 24(%rsp)
	xorl	%eax, %eax
	leaq	16(%rsp), %rdx
	leaq	8(%rsp), %rsi
	call	__isoc99_scanf@PLT
	movq	16(%rsp), %rcx
	movq	8(%rsp), %rax
	testq	%rcx, %rcx
	jne	.L21
	jmp	.L44
	.p2align 4,,10
	.p2align 3
.L45:
	movq	%rdx, %rcx
.L21:
	cqto
	idivq	%rcx
	movq	%rcx, %rax
	testq	%rdx, %rdx
	jne	.L45
.L25:
	cmpq	$1, %rcx
	je	.L22
	movl	$2, %esi
	xorl	%edi, %edi
	cmpq	$3, %rcx
	jg	.L23
	jmp	.L24
	.p2align 4,,10
	.p2align 3
.L27:
	addq	$1, %rsi
	movq	%rsi, %rax
	imulq	%rsi, %rax
	cmpq	%rcx, %rax
	jg	.L46
.L23:
	movq	%rcx, %rax
	cqto
	idivq	%rsi
	testq	%rdx, %rdx
	jne	.L27
	.p2align 4,,10
	.p2align 3
.L28:
	movq	%rcx, %rax
	cqto
	idivq	%rsi
	cqto
	movq	%rax, %rcx
	idivq	%rsi
	testq	%rdx, %rdx
	je	.L28
	addq	$1, %rsi
	addq	$1, %rdi
	movq	%rsi, %rax
	imulq	%rsi, %rax
	cmpq	%rcx, %rax
	jle	.L23
.L46:
	cmpq	$1, %rcx
	je	.L29
.L24:
	addq	$1, %rdi
.L29:
	leaq	1(%rdi), %rdx
	leaq	.LC2(%rip), %rsi
	movl	$1, %edi
	xorl	%eax, %eax
	call	__printf_chk@PLT
.L26:
	movq	24(%rsp), %rax
	subq	%fs:40, %rax
	jne	.L47
	xorl	%eax, %eax
	addq	$40, %rsp
	.cfi_remember_state
	.cfi_def_cfa_offset 8
	ret
.L22:
	.cfi_restore_state
	leaq	.LC1(%rip), %rdi
	call	puts@PLT
	jmp	.L26
.L44:
	movq	%rax, %rcx
	jmp	.L25
.L47:
	call	__stack_chk_fail@PLT
	.cfi_endproc
.LFE55:
	.size	main, .-main
	.ident	"GCC: (Ubuntu 11.4.0-1ubuntu1~22.04) 11.4.0"
	.section	.note.GNU-stack,"",@progbits
	.section	.note.gnu.property,"a"
	.align 8
	.long	1f - 0f
	.long	4f - 1f
	.long	5
0:
	.string	"GNU"
1:
	.align 8
	.long	0xc0000002
	.long	3f - 2f
2:
	.long	0x3
3:
	.align 8
4:

#include <stdio.h>
#include <string.h>
#include <stdlib.h>
#include <math.h>
#define MAX(X, Y) (((X) > (Y))? (X) : (Y))
#define MIN(X, Y) (((X) < (Y))? (X) : (Y))
int compare_int(const void *a, const void *b){
  return *(long int*)b - *(long int*)a; // 大きい順
}
int compare_int_small(const void *a, const void *b){
  return *(long int*)a - *(long int*)b; // 小さい順
}
// 公約数
long int gcd(long int a, long int b){
  if(b == 0){
    return a;
  }else{
    return gcd(b, a % b);
  }
}
// 最小公倍数 = a * b / 最大公約数
// 公倍数
long int lcm(long int a, long int b){
  return a * b / gcd(a, b);
}



// min
int main(void){

  long int a, b;
  long int y[100001] = {0};
  long int cnt = 0;
  long int yakusu;
  long int ans = 0;;

  scanf("%ld%ld", &a, &b);

  // 最大公約数を求める
  yakusu = gcd(a, b);

  if(yakusu == 1){
    printf("1\n");
    return 0;
  }

  /*
  y[0] = yakusu;
  cnt++;
  */
  /*
  // 最大公約数より小さい数たちが公約数
  for(long int i = yakusu - 1; i > 0; i--){
    if(yakusu % i == 0){
      y[cnt] = i;
      cnt++;
    }
  }
  */
  /*
  // 約数となる値を詰めてみた
  // 配列への詰め方を変更
  for(long int i = 1; i*i <=  yakusu; i++){
    if(yakusu % i == 0){
      y[cnt] = i;
      cnt++;
      //      if(i != 1){
	y[cnt] = yakusu / i;
	cnt++;
	//      }
    }
  }
  */
  //  qsort(y, cnt, sizeof(long int), compare_int);

  /*
  for(int i= 0; i < cnt; i++){
    //    printf("%ld\n", y[i]);
  }
  */

  /*
  // お互いに素の組合せを数える
  for(long int i = 0; i < cnt; i++){
    for(long int j = i + 1; j < cnt; j++){
      //      printf("y[%ld] = %ld, y[%ld] = %ld\n", i, y[i], j,y[j]);
      if(y[i] % y[j] == 0 && y[j] != 1){
	break;
      }else{
	//	printf("++\n");
	if(j == cnt - 1){
	  ans++;
	  //	  printf("OK++\n");
	}
      }
    }
  }
  */

  // 素因数分解して、その時に出てきた数が何かを求める
  // 1 は必ず割り切れるので、2から計算始める
  // i * i なのは　n が100の時、約数は10 * 10を境に、、、
  long int n = yakusu;
  for(long int i = 2; i * i <= n; i++){
    if(n % i == 0){
      y[i]++;
      ans++;
      while(n % i == 0){
	n /= i;
      }
    }
  }
  // 割り切れなかった数も素数
  if(n != 1){
    y[n]++;
    ans++;
  }
  

  // あ、そっか。答えにはy[]で求めた値は本当に何も使わないのか、、
  
  // 1の分
  ans++;
  printf("%ld\n", ans);
  return 0;
}

2 2019
 420 324
 3 2019
 19 18
 19 16
 420 71
 6 2019
 19 9
 420 47
 6 949

1
 3
 2
 1
 1
 1
 2
 1
 1
 1

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 <string.h>
#include <stdlib.h>
#include <math.h>
#define MAX(X, Y) (((X) > (Y))? (X) : (Y))
#define MIN(X, Y) (((X) < (Y))? (X) : (Y))
int compare_int(const void *a, const void *b){
  return *(long int*)b - *(long int*)a; // 大きい順
}
int compare_int_small(const void *a, const void *b){
  return *(long int*)a - *(long int*)b; // 小さい順
}
// 公約数
long int gcd(long int a, long int b){
  if(b == 0){
    return a;
  }else{
    return gcd(b, a % b);
  }
}
// 最小公倍数 = a * b / 最大公約数
// 公倍数
long int lcm(long int a, long int b){
  return a * b / gcd(a, b);
}



// min
int main(void){

  long int a, b;
  long int y[100001] = {0};
  long int cnt = 0;
  long int yakusu;
  long int ans = 0;;

  scanf("%ld%ld", &a, &b);

  // 最大公約数を求める
  yakusu = gcd(a, b);

  if(yakusu == 1){
    printf("1\n");
    return 0;
  }

  /*
  y[0] = yakusu;
  cnt++;
  */
  /*
  // 最大公約数より小さい数たちが公約数
  for(long int i = yakusu - 1; i > 0; i--){
    if(yakusu % i == 0){
      y[cnt] = i;
      cnt++;
    }
  }
  */
  /*
  // 約数となる値を詰めてみた
  // 配列への詰め方を変更
  for(long int i = 1; i*i <=  yakusu; i++){
    if(yakusu % i == 0){
      y[cnt] = i;
      cnt++;
      //      if(i != 1){
	y[cnt] = yakusu / i;
	cnt++;
	//      }
    }
  }
  */
  //  qsort(y, cnt, sizeof(long int), compare_int);

  /*
  for(int i= 0; i < cnt; i++){
    //    printf("%ld\n", y[i]);
  }
  */

  /*
  // お互いに素の組合せを数える
  for(long int i = 0; i < cnt; i++){
    for(long int j = i + 1; j < cnt; j++){
      //      printf("y[%ld] = %ld, y[%ld] = %ld\n", i, y[i], j,y[j]);
      if(y[i] % y[j] == 0 && y[j] != 1){
	break;
      }else{
	//	printf("++\n");
	if(j == cnt - 1){
	  ans++;
	  //	  printf("OK++\n");
	}
      }
    }
  }
  */

  // 素因数分解して、その時に出てきた数が何かを求める
  // 1 は必ず割り切れるので、2から計算始める
  // i * i なのは　n が100の時、約数は10 * 10を境に、、、
  long int n = yakusu;
  for(long int i = 2; i * i <= n; i++){
    if(n % i == 0){
      y[i]++;
      ans++;
      while(n % i == 0){
	n /= i;
      }
    }
  }
  // 割り切れなかった数も素数
  if(n != 1){
    y[n]++;
    ans++;
  }
  

  // あ、そっか。答えにはy[]で求めた値は本当に何も使わないのか、、
  
  // 1の分
  ans++;
  printf("%ld\n", ans);
  return 0;
}
```

Unoptimized Assembly Code:

```assembly
	.file	"temp.c"
	.text
	.globl	compare_int
	.type	compare_int, @function
compare_int:
.LFB6:
	.cfi_startproc
	endbr64
	pushq	%rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	movq	%rsp, %rbp
	.cfi_def_cfa_register 6
	movq	%rdi, -8(%rbp)
	movq	%rsi, -16(%rbp)
	movq	-16(%rbp), %rax
	movq	(%rax), %rax
	movl	%eax, %edx
	movq	-8(%rbp), %rax
	movq	(%rax), %rax
	movl	%eax, %ecx
	movl	%edx, %eax
	subl	%ecx, %eax
	popq	%rbp
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE6:
	.size	compare_int, .-compare_int
	.globl	compare_int_small
	.type	compare_int_small, @function
compare_int_small:
.LFB7:
	.cfi_startproc
	endbr64
	pushq	%rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	movq	%rsp, %rbp
	.cfi_def_cfa_register 6
	movq	%rdi, -8(%rbp)
	movq	%rsi, -16(%rbp)
	movq	-8(%rbp), %rax
	movq	(%rax), %rax
	movl	%eax, %edx
	movq	-16(%rbp), %rax
	movq	(%rax), %rax
	movl	%eax, %ecx
	movl	%edx, %eax
	subl	%ecx, %eax
	popq	%rbp
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE7:
	.size	compare_int_small, .-compare_int_small
	.globl	gcd
	.type	gcd, @function
gcd:
.LFB8:
	.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
	movq	%rdi, -8(%rbp)
	movq	%rsi, -16(%rbp)
	cmpq	$0, -16(%rbp)
	jne	.L6
	movq	-8(%rbp), %rax
	jmp	.L7
.L6:
	movq	-8(%rbp), %rax
	cqto
	idivq	-16(%rbp)
	movq	-16(%rbp), %rax
	movq	%rdx, %rsi
	movq	%rax, %rdi
	call	gcd
.L7:
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE8:
	.size	gcd, .-gcd
	.globl	lcm
	.type	lcm, @function
lcm:
.LFB9:
	.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	$24, %rsp
	.cfi_offset 3, -24
	movq	%rdi, -24(%rbp)
	movq	%rsi, -32(%rbp)
	movq	-24(%rbp), %rax
	imulq	-32(%rbp), %rax
	movq	%rax, %rbx
	movq	-32(%rbp), %rdx
	movq	-24(%rbp), %rax
	movq	%rdx, %rsi
	movq	%rax, %rdi
	call	gcd
	movq	%rax, %rcx
	movq	%rbx, %rax
	cqto
	idivq	%rcx
	movq	-8(%rbp), %rbx
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE9:
	.size	lcm, .-lcm
	.section	.rodata
.LC0:
	.string	"%ld%ld"
.LC1:
	.string	"1"
.LC2:
	.string	"%ld\n"
	.text
	.globl	main
	.type	main, @function
main:
.LFB10:
	.cfi_startproc
	endbr64
	pushq	%rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	movq	%rsp, %rbp
	.cfi_def_cfa_register 6
	leaq	-798720(%rsp), %r11
.LPSRL0:
	subq	$4096, %rsp
	orq	$0, (%rsp)
	cmpq	%r11, %rsp
	jne	.LPSRL0
	subq	$1360, %rsp
	movq	%fs:40, %rax
	movq	%rax, -8(%rbp)
	xorl	%eax, %eax
	leaq	-800016(%rbp), %rax
	movl	$800008, %edx
	movl	$0, %esi
	movq	%rax, %rdi
	call	memset@PLT
	movq	$0, -800032(%rbp)
	movq	$0, -800056(%rbp)
	leaq	-800064(%rbp), %rdx
	leaq	-800072(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movq	-800064(%rbp), %rdx
	movq	-800072(%rbp), %rax
	movq	%rdx, %rsi
	movq	%rax, %rdi
	call	gcd
	movq	%rax, -800024(%rbp)
	cmpq	$1, -800024(%rbp)
	jne	.L11
	leaq	.LC1(%rip), %rax
	movq	%rax, %rdi
	call	puts@PLT
	movl	$0, %eax
	jmp	.L19
.L11:
	movq	-800024(%rbp), %rax
	movq	%rax, -800048(%rbp)
	movq	$2, -800040(%rbp)
	jmp	.L13
.L17:
	movq	-800048(%rbp), %rax
	cqto
	idivq	-800040(%rbp)
	movq	%rdx, %rax
	testq	%rax, %rax
	jne	.L14
	movq	-800040(%rbp), %rax
	movq	-800016(%rbp,%rax,8), %rax
	leaq	1(%rax), %rdx
	movq	-800040(%rbp), %rax
	movq	%rdx, -800016(%rbp,%rax,8)
	addq	$1, -800056(%rbp)
	jmp	.L15
.L16:
	movq	-800048(%rbp), %rax
	cqto
	idivq	-800040(%rbp)
	movq	%rax, -800048(%rbp)
.L15:
	movq	-800048(%rbp), %rax
	cqto
	idivq	-800040(%rbp)
	movq	%rdx, %rax
	testq	%rax, %rax
	je	.L16
.L14:
	addq	$1, -800040(%rbp)
.L13:
	movq	-800040(%rbp), %rax
	imulq	%rax, %rax
	cmpq	%rax, -800048(%rbp)
	jge	.L17
	cmpq	$1, -800048(%rbp)
	je	.L18
	movq	-800048(%rbp), %rax
	movq	-800016(%rbp,%rax,8), %rax
	leaq	1(%rax), %rdx
	movq	-800048(%rbp), %rax
	movq	%rdx, -800016(%rbp,%rax,8)
	addq	$1, -800056(%rbp)
.L18:
	addq	$1, -800056(%rbp)
	movq	-800056(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC2(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	printf@PLT
	movl	$0, %eax
.L19:
	movq	-8(%rbp), %rdx
	subq	%fs:40, %rdx
	je	.L20
	call	__stack_chk_fail@PLT
.L20:
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE10:
	.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	compare_int
	.type	compare_int, @function
compare_int:
.LFB6:
	.cfi_startproc
	endbr64
	pushq	%rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	movq	%rsp, %rbp
	.cfi_def_cfa_register 6
	movq	%rdi, -8(%rbp)
	movq	%rsi, -16(%rbp)
	movq	-16(%rbp), %rax
	movq	(%rax), %rax
	movl	%eax, %edx
	movq	-8(%rbp), %rax
	movq	(%rax), %rax
	movl	%eax, %ecx
	movl	%edx, %eax
	subl	%ecx, %eax
	popq	%rbp
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE6:
	.size	compare_int, .-compare_int
	.globl	compare_int_small
	.type	compare_int_small, @function
compare_int_small:
.LFB7:
	.cfi_startproc
	endbr64
	pushq	%rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	movq	%rsp, %rbp
	.cfi_def_cfa_register 6
	movq	%rdi, -8(%rbp)
	movq	%rsi, -16(%rbp)
	movq	-8(%rbp), %rax
	movq	(%rax), %rax
	movl	%eax, %edx
	movq	-16(%rbp), %rax
	movq	(%rax), %rax
	movl	%eax, %ecx
	movl	%edx, %eax
	subl	%ecx, %eax
	popq	%rbp
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE7:
	.size	compare_int_small, .-compare_int_small
	.globl	gcd
	.type	gcd, @function
gcd:
.LFB8:
	.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
	movq	%rdi, -8(%rbp)
	movq	%rsi, -16(%rbp)
	cmpq	$0, -16(%rbp)
	jne	.L6
	movq	-8(%rbp), %rax
	jmp	.L7
.L6:
	movq	-8(%rbp), %rax
	cqto
	idivq	-16(%rbp)
	movq	-16(%rbp), %rax
	movq	%rdx, %rsi
	movq	%rax, %rdi
	call	gcd
.L7:
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE8:
	.size	gcd, .-gcd
	.globl	lcm
	.type	lcm, @function
lcm:
.LFB9:
	.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	$24, %rsp
	.cfi_offset 3, -24
	movq	%rdi, -24(%rbp)
	movq	%rsi, -32(%rbp)
	movq	-24(%rbp), %rax
	imulq	-32(%rbp), %rax
	movq	%rax, %rbx
	movq	-32(%rbp), %rdx
	movq	-24(%rbp), %rax
	movq	%rdx, %rsi
	movq	%rax, %rdi
	call	gcd
	movq	%rax, %rcx
	movq	%rbx, %rax
	cqto
	idivq	%rcx
	movq	-8(%rbp), %rbx
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE9:
	.size	lcm, .-lcm
	.section	.rodata
.LC0:
	.string	"%ld%ld"
.LC1:
	.string	"1"
.LC2:
	.string	"%ld\n"
	.text
	.globl	main
	.type	main, @function
main:
.LFB10:
	.cfi_startproc
	endbr64
	pushq	%rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	movq	%rsp, %rbp
	.cfi_def_cfa_register 6
	leaq	-798720(%rsp), %r11
.LPSRL0:
	subq	$4096, %rsp
	orq	$0, (%rsp)
	cmpq	%r11, %rsp
	jne	.LPSRL0
	subq	$1360, %rsp
	movq	%fs:40, %rax
	movq	%rax, -8(%rbp)
	xorl	%eax, %eax
	leaq	-800016(%rbp), %rax
	movl	$800008, %edx
	movl	$0, %esi
	movq	%rax, %rdi
	call	memset@PLT
	movq	$0, -800032(%rbp)
	movq	$0, -800056(%rbp)
	leaq	-800064(%rbp), %rdx
	leaq	-800072(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movq	-800064(%rbp), %rdx
	movq	-800072(%rbp), %rax
	movq	%rdx, %rsi
	movq	%rax, %rdi
	call	gcd
	movq	%rax, -800024(%rbp)
	cmpq	$1, -800024(%rbp)
	jne	.L11
	leaq	.LC1(%rip), %rax
	movq	%rax, %rdi
	call	puts@PLT
	movl	$0, %eax
	jmp	.L19
.L11:
	movq	-800024(%rbp), %rax
	movq	%rax, -800048(%rbp)
	movq	$2, -800040(%rbp)
	jmp	.L13
.L17:
	movq	-800048(%rbp), %rax
	cqto
	idivq	-800040(%rbp)
	movq	%rdx, %rax
	testq	%rax, %rax
	jne	.L14
	movq	-800040(%rbp), %rax
	movq	-800016(%rbp,%rax,8), %rax
	leaq	1(%rax), %rdx
	movq	-800040(%rbp), %rax
	movq	%rdx, -800016(%rbp,%rax,8)
	addq	$1, -800056(%rbp)
	jmp	.L15
.L16:
	movq	-800048(%rbp), %rax
	cqto
	idivq	-800040(%rbp)
	movq	%rax, -800048(%rbp)
.L15:
	movq	-800048(%rbp), %rax
	cqto
	idivq	-800040(%rbp)
	movq	%rdx, %rax
	testq	%rax, %rax
	je	.L16
.L14:
	addq	$1, -800040(%rbp)
.L13:
	movq	-800040(%rbp), %rax
	imulq	%rax, %rax
	cmpq	%rax, -800048(%rbp)
	jge	.L17
	cmpq	$1, -800048(%rbp)
	je	.L18
	movq	-800048(%rbp), %rax
	movq	-800016(%rbp,%rax,8), %rax
	leaq	1(%rax), %rdx
	movq	-800048(%rbp), %rax
	movq	%rdx, -800016(%rbp,%rax,8)
	addq	$1, -800056(%rbp)
.L18:
	addq	$1, -800056(%rbp)
	movq	-800056(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC2(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	printf@PLT
	movl	$0, %eax
.L19:
	movq	-8(%rbp), %rdx
	subq	%fs:40, %rdx
	je	.L20
	call	__stack_chk_fail@PLT
.L20:
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE10:
	.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:
