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

```c
#include<stdio.h>

int cmpt_gcd(int large, int small){
  int r = large%small;
  if(r==0){
    return small;
  }
  cmpt_gcd(small, r);
}

int main(){
  int a, b, k, r, cnt=0, kth_gcd;
  scanf("%d %d %d", &a, &b, &k);
  
  if(a<b){
    int tmp = a;
    a = b;
    b = tmp;
  }
  r = cmpt_gcd(a, b);
//  printf("%d\n",r);
  
  for(int i=r; cnt<k; i--){
    if(a%i==0 && b%i==0){
      cnt++;
      kth_gcd = i;
//      printf("cnt %d  i %d\n",cnt, i);
    }
  }
  
  printf("%d", kth_gcd);

  return 0;
}```

Assembly Code:

```assembly
	.file	"temp.c"
	.text
	.p2align 4
	.globl	cmpt_gcd
	.type	cmpt_gcd, @function
cmpt_gcd:
.LFB23:
	.cfi_startproc
	endbr64
	movl	%edi, %eax
	movl	%esi, %edx
	.p2align 4,,10
	.p2align 3
.L2:
	movl	%edx, %ecx
	cltd
	idivl	%ecx
	movl	%ecx, %eax
	testl	%edx, %edx
	jne	.L2
	ret
	.cfi_endproc
.LFE23:
	.size	cmpt_gcd, .-cmpt_gcd
	.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	16(%rsp), %rdx
	leaq	12(%rsp), %rsi
	call	__isoc99_scanf@PLT
	movl	12(%rsp), %edi
	movl	16(%rsp), %r8d
	cmpl	%r8d, %edi
	jge	.L6
	movl	%edi, %eax
	movl	%r8d, 12(%rsp)
	movl	%edi, 16(%rsp)
	movl	%r8d, %edi
	movl	%eax, %r8d
.L6:
	movl	%r8d, %esi
	movl	%edi, %eax
	.p2align 4,,10
	.p2align 3
.L7:
	cltd
	movl	%esi, %ecx
	idivl	%esi
	movl	%ecx, %eax
	movl	%edx, %esi
	testl	%edx, %edx
	jne	.L7
	movl	20(%rsp), %r9d
	testl	%r9d, %r9d
	jle	.L8
	.p2align 4,,10
	.p2align 3
.L10:
	movl	%edi, %eax
	cltd
	idivl	%ecx
	testl	%edx, %edx
	jne	.L9
	movl	%r8d, %eax
	cltd
	idivl	%ecx
	testl	%edx, %edx
	jne	.L9
	addl	$1, %esi
	movl	%ecx, %r12d
.L9:
	subl	$1, %ecx
	cmpl	%r9d, %esi
	jl	.L10
.L8:
	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	.L15
	addq	$32, %rsp
	.cfi_remember_state
	.cfi_def_cfa_offset 16
	xorl	%eax, %eax
	popq	%r12
	.cfi_def_cfa_offset 8
	ret
.L15:
	.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:
```

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.
Optimized Assembly Code:

user
```assembly
	.file	"temp.c"
	.text
	.p2align 4
	.globl	cmpt_gcd
	.type	cmpt_gcd, @function
cmpt_gcd:
.LFB23:
	.cfi_startproc
	endbr64
	movl	%edi, %eax
	movl	%esi, %edx
	.p2align 4,,10
	.p2align 3
.L2:
	movl	%edx, %ecx
	cltd
	idivl	%ecx
	movl	%ecx, %eax
	testl	%edx, %edx
	jne	.L2
	ret
	.cfi_endproc
.LFE23:
	.size	cmpt_gcd, .-cmpt_gcd
	.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	16(%rsp), %rdx
	leaq	12(%rsp), %rsi
	call	__isoc99_scanf@PLT
	movl	12(%rsp), %edi
	movl	16(%rsp), %r8d
	cmpl	%r8d, %edi
	jge	.L6
	movl	%edi, %eax
	movl	%r8d, 12(%rsp)
	movl	%edi, 16(%rsp)
	movl	%r8d, %edi
	movl	%eax, %r8d
.L6:
	movl	%r8d, %esi
	movl	%edi, %eax
	.p2align 4,,10
	.p2align 3
.L7:
	cltd
	movl	%esi, %ecx
	idivl	%esi
	movl	%ecx, %eax
	movl	%edx, %esi
	testl	%edx, %edx
	jne	.L7
	movl	20(%rsp), %r9d
	testl	%r9d, %r9d
	jle	.L8
	.p2align 4,,10
	.p2align 3
.L10:
	movl	%edi, %eax
	cltd
	idivl	%ecx
	testl	%edx, %edx
	jne	.L9
	movl	%r8d, %eax
	cltd
	idivl	%ecx
	testl	%edx, %edx
	jne	.L9
	addl	$1, %esi
	movl	%ecx, %r12d
.L9:
	subl	$1, %ecx
	cmpl	%r9d, %esi
	jl	.L10
.L8:
	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	.L15
	addq	$32, %rsp
	.cfi_remember_state
	.cfi_def_cfa_offset 16
	xorl	%eax, %eax
	popq	%r12
	.cfi_def_cfa_offset 8
	ret
.L15:
	.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
```assembly
	.file	"temp.c"
	.text
	.p2align 4
	.globl	cmpt_gcd
	.type	cmpt_gcd, @function
cmpt_gcd:
.LFB23:
	.cfi_startproc
	endbr64
	movl	%edi, %eax
	movl	%esi, %edx
	.p2align 4,,10
	.p2align 3
.L2:
	movl	%edx, %ecx
	cltd
	idivl	%ecx
	movl	%ecx, %eax
	testl	%edx, %edx
	jne	.L2
	ret
	.cfi_endproc
.LFE23:
	.size	cmpt_gcd, .-cmpt_gcd
	.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	16(%rsp), %rdx
	leaq	12(%rsp), %rsi
	call	__isoc99_scanf@PLT
	movl	12(%rsp), %edi
	movl	16(%rsp), %r8d
	cmpl	%r8d, %edi
	jge	.L6
	movl	%edi, %eax
	movl	%r8d, 12(%rsp)
	movl	%edi, 16(%rsp)
	movl	%r8d, %edi
	movl	%eax, %r8d
.L6:
	movl	%r8d, %esi
	movl	%edi, %eax
	.p2align 4,,10
	.p2align 3
.L7:
	cltd
	movl	%esi, %ecx
	idivl	%esi
	movl	%ecx, %eax
	movl	%edx, %esi
	testl	%edx, %edx
	jne	.L7
	movl	20(%rsp), %r9d
	testl	%r9d, %r9d
	jle	.L8
	.p2align 4,,10
	.p2align 3
.L10:
	movl	%edi, %eax
	cltd
	idivl	%ecx
	testl	%edx, %edx
	jne	.L9
	movl	%r8d, %eax
	cltd
	idivl	%ecx
	testl	%edx, %edx
	jne	.L9
	addl	$1, %esi
	movl	%ecx, %r12d
.L9:
	subl	$1, %ecx
	cmpl	%r9d, %esi
	jl	.L10
.L8:
	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	.L15
	addq	$32, %rsp
	.cfi_remember_state
	.cfi_def_cfa_offset 16
	xorl	%eax, %eax
	popq	%r12
	.cfi_def_cfa_offset 8
	ret
.L15:
	.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:
```
```c
#include<stdio.h>

int cmpt_gcd(int large, int small){
  int r = large%small;
  if(r==0){
    return small;
  }
  cmpt_gcd(small, r);
}

int main(){
  int a, b, k, r, cnt=0, kth_gcd;
  scanf("%d %d %d", &a, &b, &k);
  
  if(a<b){
    int tmp = a;
    a = b;
    b = tmp;
  }
  r = cmpt_gcd(a, b);
//  printf("%d\n",r);
  
  for(int i=r; cnt<k; i--){
    if(a%i==0 && b%i==0){
      cnt++;
      kth_gcd = i;
//      printf("cnt %d  i %d\n",cnt, i);
    }
  }
  
  printf("%d", kth_gcd);

  return 0;
}```
Given the following C code, your task is to generate highly optimized x86-64 assembly code.
C Code:

```c
#include<stdio.h>

int cmpt_gcd(int large, int small){
  int r = large%small;
  if(r==0){
    return small;
  }
  cmpt_gcd(small, r);
}

int main(){
  int a, b, k, r, cnt=0, kth_gcd;
  scanf("%d %d %d", &a, &b, &k);
  
  if(a<b){
    int tmp = a;
    a = b;
    b = tmp;
  }
  r = cmpt_gcd(a, b);
//  printf("%d\n",r);
  
  for(int i=r; cnt<k; i--){
    if(a%i==0 && b%i==0){
      cnt++;
      kth_gcd = i;
//      printf("cnt %d  i %d\n",cnt, i);
    }
  }
  
  printf("%d", kth_gcd);

  return 0;
}```

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.
Optimized Assembly Code:

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 assembly code, your task is to generate highly optimized x86-64 assembly code.
C Code:

```c
#include<stdio.h>

int cmpt_gcd(int large, int small){
  int r = large%small;
  if(r==0){
    return small;
  }
  cmpt_gcd(small, r);
}

int main(){
  int a, b, k, r, cnt=0, kth_gcd;
  scanf("%d %d %d", &a, &b, &k);
  
  if(a<b){
    int tmp = a;
    a = b;
    b = tmp;
  }
  r = cmpt_gcd(a, b);
//  printf("%d\n",r);
  
  for(int i=r; cnt<k; i--){
    if(a%i==0 && b%i==0){
      cnt++;
      kth_gcd = i;
//      printf("cnt %d  i %d\n",cnt, i);
    }
  }
  
  printf("%d", kth_gcd);

  return 0;
}```

Assembly Code:

```assembly
	.file	"temp.c"
	.text
	.p2align 4
	.globl	cmpt_gcd
	.type	cmpt_gcd, @function
cmpt_gcd:
.LFB23:
	.cfi_startproc
	endbr64
	movl	%edi, %eax
	movl	%esi, %edx
	.p2align 4,,10
	.p2align 3
.L2:
	movl	%edx, %ecx
	cltd
	idivl	%ecx
	movl	%ecx, %eax
	testl	%edx, %edx
	jne	.L2
	ret
	.cfi_endproc
.LFE23:
	.size	cmpt_gcd, .-cmpt_gcd
	.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	16(%rsp), %rdx
	leaq	12(%rsp), %rsi
	call	__isoc99_scanf@PLT
	movl	12(%rsp), %edi
	movl	16(%rsp), %r8d
	cmpl	%r8d, %edi
	jge	.L6
	movl	%edi, %eax
	movl	%r8d, 12(%rsp)
	movl	%edi, 16(%rsp)
	movl	%r8d, %edi
	movl	%eax, %r8d
.L6:
	movl	%r8d, %esi
	movl	%edi, %eax
	.p2align 4,,10
	.p2align 3
.L7:
	cltd
	movl	%esi, %ecx
	idivl	%esi
	movl	%ecx, %eax
	movl	%edx, %esi
	testl	%edx, %edx
	jne	.L7
	movl	20(%rsp), %r9d
	testl	%r9d, %r9d
	jle	.L8
	.p2align 4,,10
	.p2align 3
.L10:
	movl	%edi, %eax
	cltd
	idivl	%ecx
	testl	%edx, %edx
	jne	.L9
	movl	%r8d, %eax
	cltd
	idivl	%ecx
	testl	%edx, %edx
	jne	.L9
	addl	$1, %esi
	movl	%ecx, %r12d
.L9:
	subl	$1, %ecx
	cmpl	%r9d, %esi
	jl	.L10
.L8:
	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	.L15
	addq	$32, %rsp
	.cfi_remember_state
	.cfi_def_cfa_offset 16
	xorl	%eax, %eax
	popq	%r12
	.cfi_def_cfa_offset 8
	ret
.L15:
	.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:
```

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.
Optimized Assembly Code:

train
```assembly
	.file	"temp.c"
	.text
	.p2align 4
	.globl	cmpt_gcd
	.type	cmpt_gcd, @function
cmpt_gcd:
.LFB23:
	.cfi_startproc
	endbr64
	movl	%edi, %eax
	movl	%esi, %edx
	.p2align 4,,10
	.p2align 3
.L2:
	movl	%edx, %ecx
	cltd
	idivl	%ecx
	movl	%ecx, %eax
	testl	%edx, %edx
	jne	.L2
	ret
	.cfi_endproc
.LFE23:
	.size	cmpt_gcd, .-cmpt_gcd
	.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	16(%rsp), %rdx
	leaq	12(%rsp), %rsi
	call	__isoc99_scanf@PLT
	movl	12(%rsp), %edi
	movl	16(%rsp), %r8d
	cmpl	%r8d, %edi
	jge	.L6
	movl	%edi, %eax
	movl	%r8d, 12(%rsp)
	movl	%edi, 16(%rsp)
	movl	%r8d, %edi
	movl	%eax, %r8d
.L6:
	movl	%r8d, %esi
	movl	%edi, %eax
	.p2align 4,,10
	.p2align 3
.L7:
	cltd
	movl	%esi, %ecx
	idivl	%esi
	movl	%ecx, %eax
	movl	%edx, %esi
	testl	%edx, %edx
	jne	.L7
	movl	20(%rsp), %r9d
	testl	%r9d, %r9d
	jle	.L8
	.p2align 4,,10
	.p2align 3
.L10:
	movl	%edi, %eax
	cltd
	idivl	%ecx
	testl	%edx, %edx
	jne	.L9
	movl	%r8d, %eax
	cltd
	idivl	%ecx
	testl	%edx, %edx
	jne	.L9
	addl	$1, %esi
	movl	%ecx, %r12d
.L9:
	subl	$1, %ecx
	cmpl	%r9d, %esi
	jl	.L10
.L8:
	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	.L15
	addq	$32, %rsp
	.cfi_remember_state
	.cfi_def_cfa_offset 16
	xorl	%eax, %eax
	popq	%r12
	.cfi_def_cfa_offset 8
	ret
.L15:
	.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:
```