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

```c
#include<stdio.h>
#include<stdlib.h>

typedef long long int int64;

int64 gcd(int64 a,int64 b){
  int64 r=a%b;
  while(r>0){
    a=b;b=r;r=a%b;
  }
  return b;
}

int64 calc(int64 n,int64 x){
  int64 g=gcd(n,x);
  return g*3*(n/g-1);
}

void run(void){
  int64 n,x;
  scanf("%lld%lld",&n,&x);
  printf("%lld\n",calc(n,x));
}

int main(void){
  run();
  return 0;
}```

Unoptimized Assembly Code:

```assembly
	.file	"temp.c"
	.text
	.globl	gcd
	.type	gcd, @function
gcd:
.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, -24(%rbp)
	movq	%rsi, -32(%rbp)
	movq	-24(%rbp), %rax
	cqto
	idivq	-32(%rbp)
	movq	%rdx, -8(%rbp)
	jmp	.L2
.L3:
	movq	-32(%rbp), %rax
	movq	%rax, -24(%rbp)
	movq	-8(%rbp), %rax
	movq	%rax, -32(%rbp)
	movq	-24(%rbp), %rax
	cqto
	idivq	-32(%rbp)
	movq	%rdx, -8(%rbp)
.L2:
	cmpq	$0, -8(%rbp)
	jg	.L3
	movq	-32(%rbp), %rax
	popq	%rbp
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE6:
	.size	gcd, .-gcd
	.globl	calc
	.type	calc, @function
calc:
.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
	movq	%rdi, -24(%rbp)
	movq	%rsi, -32(%rbp)
	movq	-32(%rbp), %rdx
	movq	-24(%rbp), %rax
	movq	%rdx, %rsi
	movq	%rax, %rdi
	call	gcd
	movq	%rax, -8(%rbp)
	movq	-24(%rbp), %rax
	cqto
	idivq	-8(%rbp)
	subq	$1, %rax
	imulq	-8(%rbp), %rax
	movq	%rax, %rdx
	movq	%rdx, %rax
	addq	%rax, %rax
	addq	%rdx, %rax
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE7:
	.size	calc, .-calc
	.section	.rodata
.LC0:
	.string	"%lld%lld"
.LC1:
	.string	"%lld\n"
	.text
	.globl	run
	.type	run, @function
run:
.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
	movq	%fs:40, %rax
	movq	%rax, -8(%rbp)
	xorl	%eax, %eax
	leaq	-16(%rbp), %rdx
	leaq	-24(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movq	-16(%rbp), %rdx
	movq	-24(%rbp), %rax
	movq	%rdx, %rsi
	movq	%rax, %rdi
	call	calc
	movq	%rax, %rsi
	leaq	.LC1(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	printf@PLT
	nop
	movq	-8(%rbp), %rax
	subq	%fs:40, %rax
	je	.L8
	call	__stack_chk_fail@PLT
.L8:
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE8:
	.size	run, .-run
	.globl	main
	.type	main, @function
main:
.LFB9:
	.cfi_startproc
	endbr64
	pushq	%rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	movq	%rsp, %rbp
	.cfi_def_cfa_register 6
	call	run
	movl	$0, %eax
	popq	%rbp
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE9:
	.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	gcd
	.type	gcd, @function
gcd:
.LFB39:
	.cfi_startproc
	endbr64
	movq	%rdi, %rax
	cqto
	idivq	%rsi
	testq	%rdx, %rdx
	jle	.L4
	.p2align 4,,10
	.p2align 3
.L3:
	movq	%rsi, %rax
	movq	%rdx, %r8
	cqto
	movq	%r8, %rsi
	idivq	%r8
	testq	%rdx, %rdx
	jg	.L3
	movq	%r8, %rax
	ret
	.p2align 4,,10
	.p2align 3
.L4:
	movq	%rsi, %r8
	movq	%r8, %rax
	ret
	.cfi_endproc
.LFE39:
	.size	gcd, .-gcd
	.p2align 4
	.globl	calc
	.type	calc, @function
calc:
.LFB40:
	.cfi_startproc
	endbr64
	movq	%rdi, %rax
	cqto
	idivq	%rsi
	testq	%rdx, %rdx
	jle	.L10
	.p2align 4,,10
	.p2align 3
.L9:
	movq	%rsi, %rax
	movq	%rdx, %rcx
	movq	%rdx, %rsi
	cqto
	idivq	%rcx
	testq	%rdx, %rdx
	jg	.L9
.L8:
	movq	%rdi, %rax
	cqto
	idivq	%rcx
	subq	$1, %rax
	imulq	%rcx, %rax
	leaq	(%rax,%rax,2), %rax
	ret
	.p2align 4,,10
	.p2align 3
.L10:
	movq	%rsi, %rcx
	jmp	.L8
	.cfi_endproc
.LFE40:
	.size	calc, .-calc
	.section	.rodata.str1.1,"aMS",@progbits,1
.LC0:
	.string	"%lld%lld"
.LC1:
	.string	"%lld\n"
	.text
	.p2align 4
	.globl	run
	.type	run, @function
run:
.LFB41:
	.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	8(%rsp), %rdi
	movq	16(%rsp), %rcx
	movq	%rdi, %rax
	cqto
	idivq	%rcx
	testq	%rdx, %rdx
	jle	.L16
	.p2align 4,,10
	.p2align 3
.L14:
	movq	%rcx, %rax
	movq	%rdx, %rsi
	movq	%rdx, %rcx
	cqto
	idivq	%rsi
	testq	%rdx, %rdx
	jg	.L14
.L13:
	movq	%rdi, %rax
	movl	$1, %edi
	cqto
	idivq	%rsi
	subq	$1, %rax
	imulq	%rsi, %rax
	leaq	.LC1(%rip), %rsi
	leaq	(%rax,%rax,2), %rdx
	xorl	%eax, %eax
	call	__printf_chk@PLT
	movq	24(%rsp), %rax
	subq	%fs:40, %rax
	jne	.L19
	addq	$40, %rsp
	.cfi_remember_state
	.cfi_def_cfa_offset 8
	ret
	.p2align 4,,10
	.p2align 3
.L16:
	.cfi_restore_state
	movq	%rcx, %rsi
	jmp	.L13
.L19:
	call	__stack_chk_fail@PLT
	.cfi_endproc
.LFE41:
	.size	run, .-run
	.section	.text.startup,"ax",@progbits
	.p2align 4
	.globl	main
	.type	main, @function
main:
.LFB42:
	.cfi_startproc
	endbr64
	subq	$8, %rsp
	.cfi_def_cfa_offset 16
	call	run
	xorl	%eax, %eax
	addq	$8, %rsp
	.cfi_def_cfa_offset 8
	ret
	.cfi_endproc
.LFE42:
	.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	gcd
	.type	gcd, @function
gcd:
.LFB39:
	.cfi_startproc
	endbr64
	movq	%rdi, %rax
	cqto
	idivq	%rsi
	testq	%rdx, %rdx
	jle	.L4
	.p2align 4,,10
	.p2align 3
.L3:
	movq	%rsi, %rax
	movq	%rdx, %r8
	cqto
	movq	%r8, %rsi
	idivq	%r8
	testq	%rdx, %rdx
	jg	.L3
	movq	%r8, %rax
	ret
	.p2align 4,,10
	.p2align 3
.L4:
	movq	%rsi, %r8
	movq	%r8, %rax
	ret
	.cfi_endproc
.LFE39:
	.size	gcd, .-gcd
	.p2align 4
	.globl	calc
	.type	calc, @function
calc:
.LFB40:
	.cfi_startproc
	endbr64
	movq	%rdi, %rax
	cqto
	idivq	%rsi
	testq	%rdx, %rdx
	jle	.L10
	.p2align 4,,10
	.p2align 3
.L9:
	movq	%rsi, %rax
	movq	%rdx, %rcx
	movq	%rdx, %rsi
	cqto
	idivq	%rcx
	testq	%rdx, %rdx
	jg	.L9
.L8:
	movq	%rdi, %rax
	cqto
	idivq	%rcx
	subq	$1, %rax
	imulq	%rcx, %rax
	leaq	(%rax,%rax,2), %rax
	ret
	.p2align 4,,10
	.p2align 3
.L10:
	movq	%rsi, %rcx
	jmp	.L8
	.cfi_endproc
.LFE40:
	.size	calc, .-calc
	.section	.rodata.str1.1,"aMS",@progbits,1
.LC0:
	.string	"%lld%lld"
.LC1:
	.string	"%lld\n"
	.text
	.p2align 4
	.globl	run
	.type	run, @function
run:
.LFB41:
	.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	8(%rsp), %rdi
	movq	16(%rsp), %rcx
	movq	%rdi, %rax
	cqto
	idivq	%rcx
	testq	%rdx, %rdx
	jle	.L16
	.p2align 4,,10
	.p2align 3
.L14:
	movq	%rcx, %rax
	movq	%rdx, %rsi
	movq	%rdx, %rcx
	cqto
	idivq	%rsi
	testq	%rdx, %rdx
	jg	.L14
.L13:
	movq	%rdi, %rax
	movl	$1, %edi
	cqto
	idivq	%rsi
	subq	$1, %rax
	imulq	%rsi, %rax
	leaq	.LC1(%rip), %rsi
	leaq	(%rax,%rax,2), %rdx
	xorl	%eax, %eax
	call	__printf_chk@PLT
	movq	24(%rsp), %rax
	subq	%fs:40, %rax
	jne	.L19
	addq	$40, %rsp
	.cfi_remember_state
	.cfi_def_cfa_offset 8
	ret
	.p2align 4,,10
	.p2align 3
.L16:
	.cfi_restore_state
	movq	%rcx, %rsi
	jmp	.L13
.L19:
	call	__stack_chk_fail@PLT
	.cfi_endproc
.LFE41:
	.size	run, .-run
	.section	.text.startup,"ax",@progbits
	.p2align 4
	.globl	main
	.type	main, @function
main:
.LFB42:
	.cfi_startproc
	endbr64
	subq	$8, %rsp
	.cfi_def_cfa_offset 16
	call	run
	xorl	%eax, %eax
	addq	$8, %rsp
	.cfi_def_cfa_offset 8
	ret
	.cfi_endproc
.LFE42:
	.size	main, .-main
	.ident	"GCC: (Ubuntu 11.4.0-1ubuntu1~22.04) 11.4.0"
	.section	.note.GNU-stack,"",@progbits
	.section	.note.gnu.property,"a"
	.align 8
	.long	1f - 0f
	.long	4f - 1f
	.long	5
0:
	.string	"GNU"
1:
	.align 8
	.long	0xc0000002
	.long	3f - 2f
2:
	.long	0x3
3:
	.align 8
4:

#include<stdio.h>
#include<stdlib.h>

typedef long long int int64;

int64 gcd(int64 a,int64 b){
  int64 r=a%b;
  while(r>0){
    a=b;b=r;r=a%b;
  }
  return b;
}

int64 calc(int64 n,int64 x){
  int64 g=gcd(n,x);
  return g*3*(n/g-1);
}

void run(void){
  int64 n,x;
  scanf("%lld%lld",&n,&x);
  printf("%lld\n",calc(n,x));
}

int main(void){
  run();
  return 0;
}
5 4
 7 4
 6 1
 9 4
 6 3
 14 4
 8 1
 28 4
 15 2
 28 3

12
 18
 15
 24
 9
 36
 21
 72
 42
 81

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

```c
#include<stdio.h>
#include<stdlib.h>

typedef long long int int64;

int64 gcd(int64 a,int64 b){
  int64 r=a%b;
  while(r>0){
    a=b;b=r;r=a%b;
  }
  return b;
}

int64 calc(int64 n,int64 x){
  int64 g=gcd(n,x);
  return g*3*(n/g-1);
}

void run(void){
  int64 n,x;
  scanf("%lld%lld",&n,&x);
  printf("%lld\n",calc(n,x));
}

int main(void){
  run();
  return 0;
}```

Unoptimized Assembly Code:

```assembly
	.file	"temp.c"
	.text
	.globl	gcd
	.type	gcd, @function
gcd:
.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, -24(%rbp)
	movq	%rsi, -32(%rbp)
	movq	-24(%rbp), %rax
	cqto
	idivq	-32(%rbp)
	movq	%rdx, -8(%rbp)
	jmp	.L2
.L3:
	movq	-32(%rbp), %rax
	movq	%rax, -24(%rbp)
	movq	-8(%rbp), %rax
	movq	%rax, -32(%rbp)
	movq	-24(%rbp), %rax
	cqto
	idivq	-32(%rbp)
	movq	%rdx, -8(%rbp)
.L2:
	cmpq	$0, -8(%rbp)
	jg	.L3
	movq	-32(%rbp), %rax
	popq	%rbp
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE6:
	.size	gcd, .-gcd
	.globl	calc
	.type	calc, @function
calc:
.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
	movq	%rdi, -24(%rbp)
	movq	%rsi, -32(%rbp)
	movq	-32(%rbp), %rdx
	movq	-24(%rbp), %rax
	movq	%rdx, %rsi
	movq	%rax, %rdi
	call	gcd
	movq	%rax, -8(%rbp)
	movq	-24(%rbp), %rax
	cqto
	idivq	-8(%rbp)
	subq	$1, %rax
	imulq	-8(%rbp), %rax
	movq	%rax, %rdx
	movq	%rdx, %rax
	addq	%rax, %rax
	addq	%rdx, %rax
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE7:
	.size	calc, .-calc
	.section	.rodata
.LC0:
	.string	"%lld%lld"
.LC1:
	.string	"%lld\n"
	.text
	.globl	run
	.type	run, @function
run:
.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
	movq	%fs:40, %rax
	movq	%rax, -8(%rbp)
	xorl	%eax, %eax
	leaq	-16(%rbp), %rdx
	leaq	-24(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movq	-16(%rbp), %rdx
	movq	-24(%rbp), %rax
	movq	%rdx, %rsi
	movq	%rax, %rdi
	call	calc
	movq	%rax, %rsi
	leaq	.LC1(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	printf@PLT
	nop
	movq	-8(%rbp), %rax
	subq	%fs:40, %rax
	je	.L8
	call	__stack_chk_fail@PLT
.L8:
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE8:
	.size	run, .-run
	.globl	main
	.type	main, @function
main:
.LFB9:
	.cfi_startproc
	endbr64
	pushq	%rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	movq	%rsp, %rbp
	.cfi_def_cfa_register 6
	call	run
	movl	$0, %eax
	popq	%rbp
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE9:
	.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	gcd
	.type	gcd, @function
gcd:
.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, -24(%rbp)
	movq	%rsi, -32(%rbp)
	movq	-24(%rbp), %rax
	cqto
	idivq	-32(%rbp)
	movq	%rdx, -8(%rbp)
	jmp	.L2
.L3:
	movq	-32(%rbp), %rax
	movq	%rax, -24(%rbp)
	movq	-8(%rbp), %rax
	movq	%rax, -32(%rbp)
	movq	-24(%rbp), %rax
	cqto
	idivq	-32(%rbp)
	movq	%rdx, -8(%rbp)
.L2:
	cmpq	$0, -8(%rbp)
	jg	.L3
	movq	-32(%rbp), %rax
	popq	%rbp
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE6:
	.size	gcd, .-gcd
	.globl	calc
	.type	calc, @function
calc:
.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
	movq	%rdi, -24(%rbp)
	movq	%rsi, -32(%rbp)
	movq	-32(%rbp), %rdx
	movq	-24(%rbp), %rax
	movq	%rdx, %rsi
	movq	%rax, %rdi
	call	gcd
	movq	%rax, -8(%rbp)
	movq	-24(%rbp), %rax
	cqto
	idivq	-8(%rbp)
	subq	$1, %rax
	imulq	-8(%rbp), %rax
	movq	%rax, %rdx
	movq	%rdx, %rax
	addq	%rax, %rax
	addq	%rdx, %rax
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE7:
	.size	calc, .-calc
	.section	.rodata
.LC0:
	.string	"%lld%lld"
.LC1:
	.string	"%lld\n"
	.text
	.globl	run
	.type	run, @function
run:
.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
	movq	%fs:40, %rax
	movq	%rax, -8(%rbp)
	xorl	%eax, %eax
	leaq	-16(%rbp), %rdx
	leaq	-24(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movq	-16(%rbp), %rdx
	movq	-24(%rbp), %rax
	movq	%rdx, %rsi
	movq	%rax, %rdi
	call	calc
	movq	%rax, %rsi
	leaq	.LC1(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	printf@PLT
	nop
	movq	-8(%rbp), %rax
	subq	%fs:40, %rax
	je	.L8
	call	__stack_chk_fail@PLT
.L8:
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE8:
	.size	run, .-run
	.globl	main
	.type	main, @function
main:
.LFB9:
	.cfi_startproc
	endbr64
	pushq	%rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	movq	%rsp, %rbp
	.cfi_def_cfa_register 6
	call	run
	movl	$0, %eax
	popq	%rbp
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE9:
	.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:
