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>

int min(int a, int b)
{
  return a > b ? b : a;
}

int main()
{
  int a,b,k,i,count=0,ans;

  scanf("%d%d%d", &a,&b,&k);

  for(i=min(a,b); i>0; i--)
  {
    if(a%i ==0 && b%i ==0)
      count++;

    if(count == k){
      ans = i;
      break;
    }
  }
  printf("%d", ans);

  return 0;
}
```

Unoptimized Assembly Code:

```assembly
	.file	"temp.c"
	.text
	.globl	min
	.type	min, @function
min:
.LFB0:
	.cfi_startproc
	endbr64
	pushq	%rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	movq	%rsp, %rbp
	.cfi_def_cfa_register 6
	movl	%edi, -4(%rbp)
	movl	%esi, -8(%rbp)
	movl	-4(%rbp), %edx
	movl	-8(%rbp), %eax
	cmpl	%eax, %edx
	cmovle	%edx, %eax
	popq	%rbp
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE0:
	.size	min, .-min
	.section	.rodata
.LC0:
	.string	"%d%d%d"
.LC1:
	.string	"%d"
	.text
	.globl	main
	.type	main, @function
main:
.LFB1:
	.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
	movl	$0, -16(%rbp)
	leaq	-24(%rbp), %rcx
	leaq	-28(%rbp), %rdx
	leaq	-32(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movl	-28(%rbp), %edx
	movl	-32(%rbp), %eax
	movl	%edx, %esi
	movl	%eax, %edi
	call	min
	movl	%eax, -20(%rbp)
	jmp	.L4
.L8:
	movl	-32(%rbp), %eax
	cltd
	idivl	-20(%rbp)
	movl	%edx, %eax
	testl	%eax, %eax
	jne	.L5
	movl	-28(%rbp), %eax
	cltd
	idivl	-20(%rbp)
	movl	%edx, %eax
	testl	%eax, %eax
	jne	.L5
	addl	$1, -16(%rbp)
.L5:
	movl	-24(%rbp), %eax
	cmpl	%eax, -16(%rbp)
	jne	.L6
	movl	-20(%rbp), %eax
	movl	%eax, -12(%rbp)
	jmp	.L7
.L6:
	subl	$1, -20(%rbp)
.L4:
	cmpl	$0, -20(%rbp)
	jg	.L8
.L7:
	movl	-12(%rbp), %eax
	movl	%eax, %esi
	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	.L10
	call	__stack_chk_fail@PLT
.L10:
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE1:
	.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	min
	.type	min, @function
min:
.LFB23:
	.cfi_startproc
	endbr64
	cmpl	%esi, %edi
	movl	%esi, %eax
	cmovle	%edi, %eax
	ret
	.cfi_endproc
.LFE23:
	.size	min, .-min
	.section	.rodata.str1.1,"aMS",@progbits,1
.LC0:
	.string	"%d%d%d"
.LC1:
	.string	"%d"
	.section	.text.startup,"ax",@progbits
	.p2align 4
	.globl	main
	.type	main, @function
main:
.LFB24:
	.cfi_startproc
	endbr64
	pushq	%r12
	.cfi_def_cfa_offset 16
	.cfi_offset 12, -16
	leaq	.LC0(%rip), %rdi
	subq	$32, %rsp
	.cfi_def_cfa_offset 48
	movq	%fs:40, %rax
	movq	%rax, 24(%rsp)
	xorl	%eax, %eax
	leaq	20(%rsp), %rcx
	leaq	12(%rsp), %rsi
	leaq	16(%rsp), %rdx
	call	__isoc99_scanf@PLT
	movl	16(%rsp), %r8d
	movl	12(%rsp), %esi
	cmpl	%esi, %r8d
	movl	%esi, %ecx
	cmovle	%r8d, %ecx
	testl	%ecx, %ecx
	jle	.L4
	movl	20(%rsp), %r9d
	xorl	%edi, %edi
	jmp	.L6
	.p2align 4,,10
	.p2align 3
.L11:
	subl	$1, %ecx
	je	.L4
.L6:
	movl	%esi, %eax
	cltd
	idivl	%ecx
	testl	%edx, %edx
	jne	.L5
	movl	%r8d, %eax
	cltd
	idivl	%ecx
	cmpl	$1, %edx
	adcl	$0, %edi
.L5:
	cmpl	%edi, %r9d
	jne	.L11
	movl	%ecx, %r12d
.L4:
	xorl	%eax, %eax
	movl	%r12d, %edx
	movl	$1, %edi
	leaq	.LC1(%rip), %rsi
	call	__printf_chk@PLT
	movq	24(%rsp), %rax
	subq	%fs:40, %rax
	jne	.L12
	addq	$32, %rsp
	.cfi_remember_state
	.cfi_def_cfa_offset 16
	xorl	%eax, %eax
	popq	%r12
	.cfi_def_cfa_offset 8
	ret
.L12:
	.cfi_restore_state
	call	__stack_chk_fail@PLT
	.cfi_endproc
.LFE24:
	.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	min
	.type	min, @function
min:
.LFB23:
	.cfi_startproc
	endbr64
	cmpl	%esi, %edi
	movl	%esi, %eax
	cmovle	%edi, %eax
	ret
	.cfi_endproc
.LFE23:
	.size	min, .-min
	.section	.rodata.str1.1,"aMS",@progbits,1
.LC0:
	.string	"%d%d%d"
.LC1:
	.string	"%d"
	.section	.text.startup,"ax",@progbits
	.p2align 4
	.globl	main
	.type	main, @function
main:
.LFB24:
	.cfi_startproc
	endbr64
	pushq	%r12
	.cfi_def_cfa_offset 16
	.cfi_offset 12, -16
	leaq	.LC0(%rip), %rdi
	subq	$32, %rsp
	.cfi_def_cfa_offset 48
	movq	%fs:40, %rax
	movq	%rax, 24(%rsp)
	xorl	%eax, %eax
	leaq	20(%rsp), %rcx
	leaq	12(%rsp), %rsi
	leaq	16(%rsp), %rdx
	call	__isoc99_scanf@PLT
	movl	16(%rsp), %r8d
	movl	12(%rsp), %esi
	cmpl	%esi, %r8d
	movl	%esi, %ecx
	cmovle	%r8d, %ecx
	testl	%ecx, %ecx
	jle	.L4
	movl	20(%rsp), %r9d
	xorl	%edi, %edi
	jmp	.L6
	.p2align 4,,10
	.p2align 3
.L11:
	subl	$1, %ecx
	je	.L4
.L6:
	movl	%esi, %eax
	cltd
	idivl	%ecx
	testl	%edx, %edx
	jne	.L5
	movl	%r8d, %eax
	cltd
	idivl	%ecx
	cmpl	$1, %edx
	adcl	$0, %edi
.L5:
	cmpl	%edi, %r9d
	jne	.L11
	movl	%ecx, %r12d
.L4:
	xorl	%eax, %eax
	movl	%r12d, %edx
	movl	$1, %edi
	leaq	.LC1(%rip), %rsi
	call	__printf_chk@PLT
	movq	24(%rsp), %rax
	subq	%fs:40, %rax
	jne	.L12
	addq	$32, %rsp
	.cfi_remember_state
	.cfi_def_cfa_offset 16
	xorl	%eax, %eax
	popq	%r12
	.cfi_def_cfa_offset 8
	ret
.L12:
	.cfi_restore_state
	call	__stack_chk_fail@PLT
	.cfi_endproc
.LFE24:
	.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>

int min(int a, int b)
{
  return a > b ? b : a;
}

int main()
{
  int a,b,k,i,count=0,ans;

  scanf("%d%d%d", &a,&b,&k);

  for(i=min(a,b); i>0; i--)
  {
    if(a%i ==0 && b%i ==0)
      count++;

    if(count == k){
      ans = i;
      break;
    }
  }
  printf("%d", ans);

  return 0;
}

100 50 2
 16 12 2
 12 12 2
 100 45 2
 27 12 1
 16 24 1
 110 50 2
 12 12 3
 27 18 1
 100 50 3

25 2 6 1 3 8 5 4 9 10
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>

int min(int a, int b)
{
  return a > b ? b : a;
}

int main()
{
  int a,b,k,i,count=0,ans;

  scanf("%d%d%d", &a,&b,&k);

  for(i=min(a,b); i>0; i--)
  {
    if(a%i ==0 && b%i ==0)
      count++;

    if(count == k){
      ans = i;
      break;
    }
  }
  printf("%d", ans);

  return 0;
}
```

Unoptimized Assembly Code:

```assembly
	.file	"temp.c"
	.text
	.globl	min
	.type	min, @function
min:
.LFB0:
	.cfi_startproc
	endbr64
	pushq	%rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	movq	%rsp, %rbp
	.cfi_def_cfa_register 6
	movl	%edi, -4(%rbp)
	movl	%esi, -8(%rbp)
	movl	-4(%rbp), %edx
	movl	-8(%rbp), %eax
	cmpl	%eax, %edx
	cmovle	%edx, %eax
	popq	%rbp
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE0:
	.size	min, .-min
	.section	.rodata
.LC0:
	.string	"%d%d%d"
.LC1:
	.string	"%d"
	.text
	.globl	main
	.type	main, @function
main:
.LFB1:
	.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
	movl	$0, -16(%rbp)
	leaq	-24(%rbp), %rcx
	leaq	-28(%rbp), %rdx
	leaq	-32(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movl	-28(%rbp), %edx
	movl	-32(%rbp), %eax
	movl	%edx, %esi
	movl	%eax, %edi
	call	min
	movl	%eax, -20(%rbp)
	jmp	.L4
.L8:
	movl	-32(%rbp), %eax
	cltd
	idivl	-20(%rbp)
	movl	%edx, %eax
	testl	%eax, %eax
	jne	.L5
	movl	-28(%rbp), %eax
	cltd
	idivl	-20(%rbp)
	movl	%edx, %eax
	testl	%eax, %eax
	jne	.L5
	addl	$1, -16(%rbp)
.L5:
	movl	-24(%rbp), %eax
	cmpl	%eax, -16(%rbp)
	jne	.L6
	movl	-20(%rbp), %eax
	movl	%eax, -12(%rbp)
	jmp	.L7
.L6:
	subl	$1, -20(%rbp)
.L4:
	cmpl	$0, -20(%rbp)
	jg	.L8
.L7:
	movl	-12(%rbp), %eax
	movl	%eax, %esi
	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	.L10
	call	__stack_chk_fail@PLT
.L10:
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE1:
	.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	min
	.type	min, @function
min:
.LFB0:
	.cfi_startproc
	endbr64
	pushq	%rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	movq	%rsp, %rbp
	.cfi_def_cfa_register 6
	movl	%edi, -4(%rbp)
	movl	%esi, -8(%rbp)
	movl	-4(%rbp), %edx
	movl	-8(%rbp), %eax
	cmpl	%eax, %edx
	cmovle	%edx, %eax
	popq	%rbp
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE0:
	.size	min, .-min
	.section	.rodata
.LC0:
	.string	"%d%d%d"
.LC1:
	.string	"%d"
	.text
	.globl	main
	.type	main, @function
main:
.LFB1:
	.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
	movl	$0, -16(%rbp)
	leaq	-24(%rbp), %rcx
	leaq	-28(%rbp), %rdx
	leaq	-32(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movl	-28(%rbp), %edx
	movl	-32(%rbp), %eax
	movl	%edx, %esi
	movl	%eax, %edi
	call	min
	movl	%eax, -20(%rbp)
	jmp	.L4
.L8:
	movl	-32(%rbp), %eax
	cltd
	idivl	-20(%rbp)
	movl	%edx, %eax
	testl	%eax, %eax
	jne	.L5
	movl	-28(%rbp), %eax
	cltd
	idivl	-20(%rbp)
	movl	%edx, %eax
	testl	%eax, %eax
	jne	.L5
	addl	$1, -16(%rbp)
.L5:
	movl	-24(%rbp), %eax
	cmpl	%eax, -16(%rbp)
	jne	.L6
	movl	-20(%rbp), %eax
	movl	%eax, -12(%rbp)
	jmp	.L7
.L6:
	subl	$1, -20(%rbp)
.L4:
	cmpl	$0, -20(%rbp)
	jg	.L8
.L7:
	movl	-12(%rbp), %eax
	movl	%eax, %esi
	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	.L10
	call	__stack_chk_fail@PLT
.L10:
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE1:
	.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:
