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 main()
{
    int a;
    int n;
    int m;
    int x;
    int y;
    int cnt = 0;
    int sum;
    int tmp;
    int i;
    
    scanf("%d%d%d", &a, &n, &m);
    
    for(y = 1; y <= 72; y++)
    {
        x = 1;
        for(i = 0; i < n; i++)
        {
            x = x * (y + a);
        }
        
        sum = 0;
        tmp = x;
        while(tmp > 0)
        {
            sum = sum + tmp % 10;
            tmp = tmp / 10;
        }
        
        if((x <= m) && (sum == y))
        {
            cnt++;
        }
    }
    
    printf("%d\n", cnt);
    
    return 0;
}
```

Unoptimized Assembly Code:

```assembly
	.file	"temp.c"
	.text
	.section	.rodata
.LC0:
	.string	"%d%d%d"
.LC1:
	.string	"%d\n"
	.text
	.globl	main
	.type	main, @function
main:
.LFB0:
	.cfi_startproc
	endbr64
	pushq	%rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	movq	%rsp, %rbp
	.cfi_def_cfa_register 6
	subq	$48, %rsp
	movq	%fs:40, %rax
	movq	%rax, -8(%rbp)
	xorl	%eax, %eax
	movl	$0, -24(%rbp)
	leaq	-36(%rbp), %rcx
	leaq	-40(%rbp), %rdx
	leaq	-44(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movl	$1, -28(%rbp)
	jmp	.L2
.L8:
	movl	$1, -32(%rbp)
	movl	$0, -12(%rbp)
	jmp	.L3
.L4:
	movl	-44(%rbp), %edx
	movl	-28(%rbp), %eax
	addl	%eax, %edx
	movl	-32(%rbp), %eax
	imull	%edx, %eax
	movl	%eax, -32(%rbp)
	addl	$1, -12(%rbp)
.L3:
	movl	-40(%rbp), %eax
	cmpl	%eax, -12(%rbp)
	jl	.L4
	movl	$0, -20(%rbp)
	movl	-32(%rbp), %eax
	movl	%eax, -16(%rbp)
	jmp	.L5
.L6:
	movl	-16(%rbp), %ecx
	movslq	%ecx, %rax
	imulq	$1717986919, %rax, %rax
	shrq	$32, %rax
	sarl	$2, %eax
	movl	%ecx, %esi
	sarl	$31, %esi
	subl	%esi, %eax
	movl	%eax, %edx
	movl	%edx, %eax
	sall	$2, %eax
	addl	%edx, %eax
	addl	%eax, %eax
	subl	%eax, %ecx
	movl	%ecx, %edx
	addl	%edx, -20(%rbp)
	movl	-16(%rbp), %eax
	movslq	%eax, %rdx
	imulq	$1717986919, %rdx, %rdx
	shrq	$32, %rdx
	sarl	$2, %edx
	sarl	$31, %eax
	movl	%eax, %ecx
	movl	%edx, %eax
	subl	%ecx, %eax
	movl	%eax, -16(%rbp)
.L5:
	cmpl	$0, -16(%rbp)
	jg	.L6
	movl	-36(%rbp), %eax
	cmpl	%eax, -32(%rbp)
	jg	.L7
	movl	-20(%rbp), %eax
	cmpl	-28(%rbp), %eax
	jne	.L7
	addl	$1, -24(%rbp)
.L7:
	addl	$1, -28(%rbp)
.L2:
	cmpl	$72, -28(%rbp)
	jle	.L8
	movl	-24(%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
.LFE0:
	.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
	.section	.rodata.str1.1,"aMS",@progbits,1
.LC0:
	.string	"%d%d%d"
.LC1:
	.string	"%d\n"
	.section	.text.startup,"ax",@progbits
	.p2align 4
	.globl	main
	.type	main, @function
main:
.LFB23:
	.cfi_startproc
	endbr64
	pushq	%r12
	.cfi_def_cfa_offset 16
	.cfi_offset 12, -16
	leaq	.LC0(%rip), %rdi
	pushq	%rbp
	.cfi_def_cfa_offset 24
	.cfi_offset 6, -24
	pushq	%rbx
	.cfi_def_cfa_offset 32
	.cfi_offset 3, -32
	subq	$32, %rsp
	.cfi_def_cfa_offset 64
	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), %ebx
	movl	20(%rsp), %ebp
	xorl	%r11d, %r11d
	movl	16(%rsp), %r8d
	movl	$1, %r10d
	movl	$3435973837, %r9d
	.p2align 4,,10
	.p2align 3
.L2:
	leal	(%r10,%rbx), %edx
	xorl	%eax, %eax
	movl	$1, %esi
	movl	$1, %edi
	testl	%r8d, %r8d
	jle	.L8
	.p2align 4,,10
	.p2align 3
.L3:
	addl	$1, %eax
	imull	%edx, %esi
	cmpl	%r8d, %eax
	jne	.L3
	testl	%esi, %esi
	jle	.L4
	movl	%esi, %edx
	xorl	%edi, %edi
	.p2align 4,,10
	.p2align 3
.L5:
	movl	%edx, %eax
	movl	%edx, %r12d
	imulq	%r9, %rax
	shrq	$35, %rax
	leal	(%rax,%rax,4), %ecx
	addl	%ecx, %ecx
	subl	%ecx, %r12d
	movl	%edx, %ecx
	movl	%eax, %edx
	addl	%r12d, %edi
	cmpl	$9, %ecx
	jg	.L5
.L8:
	cmpl	%r10d, %edi
	jne	.L4
	cmpl	%esi, %ebp
	setge	%al
	cmpb	$1, %al
	sbbl	$-1, %r11d
.L4:
	addl	$1, %r10d
	cmpl	$73, %r10d
	jne	.L2
	xorl	%eax, %eax
	movl	%r11d, %edx
	movl	$1, %edi
	leaq	.LC1(%rip), %rsi
	call	__printf_chk@PLT
	movq	24(%rsp), %rax
	subq	%fs:40, %rax
	jne	.L20
	addq	$32, %rsp
	.cfi_remember_state
	.cfi_def_cfa_offset 32
	xorl	%eax, %eax
	popq	%rbx
	.cfi_def_cfa_offset 24
	popq	%rbp
	.cfi_def_cfa_offset 16
	popq	%r12
	.cfi_def_cfa_offset 8
	ret
.L20:
	.cfi_restore_state
	call	__stack_chk_fail@PLT
	.cfi_endproc
.LFE23:
	.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
	.section	.rodata.str1.1,"aMS",@progbits,1
.LC0:
	.string	"%d%d%d"
.LC1:
	.string	"%d\n"
	.section	.text.startup,"ax",@progbits
	.p2align 4
	.globl	main
	.type	main, @function
main:
.LFB23:
	.cfi_startproc
	endbr64
	pushq	%r12
	.cfi_def_cfa_offset 16
	.cfi_offset 12, -16
	leaq	.LC0(%rip), %rdi
	pushq	%rbp
	.cfi_def_cfa_offset 24
	.cfi_offset 6, -24
	pushq	%rbx
	.cfi_def_cfa_offset 32
	.cfi_offset 3, -32
	subq	$32, %rsp
	.cfi_def_cfa_offset 64
	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), %ebx
	movl	20(%rsp), %ebp
	xorl	%r11d, %r11d
	movl	16(%rsp), %r8d
	movl	$1, %r10d
	movl	$3435973837, %r9d
	.p2align 4,,10
	.p2align 3
.L2:
	leal	(%r10,%rbx), %edx
	xorl	%eax, %eax
	movl	$1, %esi
	movl	$1, %edi
	testl	%r8d, %r8d
	jle	.L8
	.p2align 4,,10
	.p2align 3
.L3:
	addl	$1, %eax
	imull	%edx, %esi
	cmpl	%r8d, %eax
	jne	.L3
	testl	%esi, %esi
	jle	.L4
	movl	%esi, %edx
	xorl	%edi, %edi
	.p2align 4,,10
	.p2align 3
.L5:
	movl	%edx, %eax
	movl	%edx, %r12d
	imulq	%r9, %rax
	shrq	$35, %rax
	leal	(%rax,%rax,4), %ecx
	addl	%ecx, %ecx
	subl	%ecx, %r12d
	movl	%edx, %ecx
	movl	%eax, %edx
	addl	%r12d, %edi
	cmpl	$9, %ecx
	jg	.L5
.L8:
	cmpl	%r10d, %edi
	jne	.L4
	cmpl	%esi, %ebp
	setge	%al
	cmpb	$1, %al
	sbbl	$-1, %r11d
.L4:
	addl	$1, %r10d
	cmpl	$73, %r10d
	jne	.L2
	xorl	%eax, %eax
	movl	%r11d, %edx
	movl	$1, %edi
	leaq	.LC1(%rip), %rsi
	call	__printf_chk@PLT
	movq	24(%rsp), %rax
	subq	%fs:40, %rax
	jne	.L20
	addq	$32, %rsp
	.cfi_remember_state
	.cfi_def_cfa_offset 32
	xorl	%eax, %eax
	popq	%rbx
	.cfi_def_cfa_offset 24
	popq	%rbp
	.cfi_def_cfa_offset 16
	popq	%r12
	.cfi_def_cfa_offset 8
	ret
.L20:
	.cfi_restore_state
	call	__stack_chk_fail@PLT
	.cfi_endproc
.LFE23:
	.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 main()
{
    int a;
    int n;
    int m;
    int x;
    int y;
    int cnt = 0;
    int sum;
    int tmp;
    int i;
    
    scanf("%d%d%d", &a, &n, &m);
    
    for(y = 1; y <= 72; y++)
    {
        x = 1;
        for(i = 0; i < n; i++)
        {
            x = x * (y + a);
        }
        
        sum = 0;
        tmp = x;
        while(tmp > 0)
        {
            sum = sum + tmp % 10;
            tmp = tmp / 10;
        }
        
        if((x <= m) && (sum == y))
        {
            cnt++;
        }
    }
    
    printf("%d\n", cnt);
    
    return 0;
}

16 2 1000

2

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 main()
{
    int a;
    int n;
    int m;
    int x;
    int y;
    int cnt = 0;
    int sum;
    int tmp;
    int i;
    
    scanf("%d%d%d", &a, &n, &m);
    
    for(y = 1; y <= 72; y++)
    {
        x = 1;
        for(i = 0; i < n; i++)
        {
            x = x * (y + a);
        }
        
        sum = 0;
        tmp = x;
        while(tmp > 0)
        {
            sum = sum + tmp % 10;
            tmp = tmp / 10;
        }
        
        if((x <= m) && (sum == y))
        {
            cnt++;
        }
    }
    
    printf("%d\n", cnt);
    
    return 0;
}
```

Unoptimized Assembly Code:

```assembly
	.file	"temp.c"
	.text
	.section	.rodata
.LC0:
	.string	"%d%d%d"
.LC1:
	.string	"%d\n"
	.text
	.globl	main
	.type	main, @function
main:
.LFB0:
	.cfi_startproc
	endbr64
	pushq	%rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	movq	%rsp, %rbp
	.cfi_def_cfa_register 6
	subq	$48, %rsp
	movq	%fs:40, %rax
	movq	%rax, -8(%rbp)
	xorl	%eax, %eax
	movl	$0, -24(%rbp)
	leaq	-36(%rbp), %rcx
	leaq	-40(%rbp), %rdx
	leaq	-44(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movl	$1, -28(%rbp)
	jmp	.L2
.L8:
	movl	$1, -32(%rbp)
	movl	$0, -12(%rbp)
	jmp	.L3
.L4:
	movl	-44(%rbp), %edx
	movl	-28(%rbp), %eax
	addl	%eax, %edx
	movl	-32(%rbp), %eax
	imull	%edx, %eax
	movl	%eax, -32(%rbp)
	addl	$1, -12(%rbp)
.L3:
	movl	-40(%rbp), %eax
	cmpl	%eax, -12(%rbp)
	jl	.L4
	movl	$0, -20(%rbp)
	movl	-32(%rbp), %eax
	movl	%eax, -16(%rbp)
	jmp	.L5
.L6:
	movl	-16(%rbp), %ecx
	movslq	%ecx, %rax
	imulq	$1717986919, %rax, %rax
	shrq	$32, %rax
	sarl	$2, %eax
	movl	%ecx, %esi
	sarl	$31, %esi
	subl	%esi, %eax
	movl	%eax, %edx
	movl	%edx, %eax
	sall	$2, %eax
	addl	%edx, %eax
	addl	%eax, %eax
	subl	%eax, %ecx
	movl	%ecx, %edx
	addl	%edx, -20(%rbp)
	movl	-16(%rbp), %eax
	movslq	%eax, %rdx
	imulq	$1717986919, %rdx, %rdx
	shrq	$32, %rdx
	sarl	$2, %edx
	sarl	$31, %eax
	movl	%eax, %ecx
	movl	%edx, %eax
	subl	%ecx, %eax
	movl	%eax, -16(%rbp)
.L5:
	cmpl	$0, -16(%rbp)
	jg	.L6
	movl	-36(%rbp), %eax
	cmpl	%eax, -32(%rbp)
	jg	.L7
	movl	-20(%rbp), %eax
	cmpl	-28(%rbp), %eax
	jne	.L7
	addl	$1, -24(%rbp)
.L7:
	addl	$1, -28(%rbp)
.L2:
	cmpl	$72, -28(%rbp)
	jle	.L8
	movl	-24(%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
.LFE0:
	.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
	.section	.rodata
.LC0:
	.string	"%d%d%d"
.LC1:
	.string	"%d\n"
	.text
	.globl	main
	.type	main, @function
main:
.LFB0:
	.cfi_startproc
	endbr64
	pushq	%rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	movq	%rsp, %rbp
	.cfi_def_cfa_register 6
	subq	$48, %rsp
	movq	%fs:40, %rax
	movq	%rax, -8(%rbp)
	xorl	%eax, %eax
	movl	$0, -24(%rbp)
	leaq	-36(%rbp), %rcx
	leaq	-40(%rbp), %rdx
	leaq	-44(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movl	$1, -28(%rbp)
	jmp	.L2
.L8:
	movl	$1, -32(%rbp)
	movl	$0, -12(%rbp)
	jmp	.L3
.L4:
	movl	-44(%rbp), %edx
	movl	-28(%rbp), %eax
	addl	%eax, %edx
	movl	-32(%rbp), %eax
	imull	%edx, %eax
	movl	%eax, -32(%rbp)
	addl	$1, -12(%rbp)
.L3:
	movl	-40(%rbp), %eax
	cmpl	%eax, -12(%rbp)
	jl	.L4
	movl	$0, -20(%rbp)
	movl	-32(%rbp), %eax
	movl	%eax, -16(%rbp)
	jmp	.L5
.L6:
	movl	-16(%rbp), %ecx
	movslq	%ecx, %rax
	imulq	$1717986919, %rax, %rax
	shrq	$32, %rax
	sarl	$2, %eax
	movl	%ecx, %esi
	sarl	$31, %esi
	subl	%esi, %eax
	movl	%eax, %edx
	movl	%edx, %eax
	sall	$2, %eax
	addl	%edx, %eax
	addl	%eax, %eax
	subl	%eax, %ecx
	movl	%ecx, %edx
	addl	%edx, -20(%rbp)
	movl	-16(%rbp), %eax
	movslq	%eax, %rdx
	imulq	$1717986919, %rdx, %rdx
	shrq	$32, %rdx
	sarl	$2, %edx
	sarl	$31, %eax
	movl	%eax, %ecx
	movl	%edx, %eax
	subl	%ecx, %eax
	movl	%eax, -16(%rbp)
.L5:
	cmpl	$0, -16(%rbp)
	jg	.L6
	movl	-36(%rbp), %eax
	cmpl	%eax, -32(%rbp)
	jg	.L7
	movl	-20(%rbp), %eax
	cmpl	-28(%rbp), %eax
	jne	.L7
	addl	$1, -24(%rbp)
.L7:
	addl	$1, -28(%rbp)
.L2:
	cmpl	$72, -28(%rbp)
	jle	.L8
	movl	-24(%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
.LFE0:
	.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:
