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

```c
#include <math.h>
#include <stdarg.h>
#include <stdio.h>
#include <stdlib.h>
#include <string.h>
#define PI acos(-1)

typedef unsigned long long int ull;
typedef long long int ll;
typedef long double ld;

int main(void) {
  int scan;
  ll  n;
  ll  answer;

  scan = scanf("%lld", &n);
  answer = 0;
  for (ll k = 1; k <= n; k++) {
    answer += ((n / k) * (n / k + 1) / 2) * k;
  }
  printf("%lld", answer);
  return (0);
}
```

Unoptimized Assembly Code:

```assembly
	.file	"temp.c"
	.text
	.section	.rodata
.LC0:
	.string	"%lld"
	.text
	.globl	main
	.type	main, @function
main:
.LFB6:
	.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
	leaq	-32(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movl	%eax, -36(%rbp)
	movq	$0, -24(%rbp)
	movq	$1, -16(%rbp)
	jmp	.L2
.L3:
	movq	-32(%rbp), %rax
	cqto
	idivq	-16(%rbp)
	movq	%rax, %rcx
	movq	-32(%rbp), %rax
	cqto
	idivq	-16(%rbp)
	addq	$1, %rax
	imulq	%rcx, %rax
	movq	%rax, %rdx
	shrq	$63, %rdx
	addq	%rdx, %rax
	sarq	%rax
	imulq	-16(%rbp), %rax
	addq	%rax, -24(%rbp)
	addq	$1, -16(%rbp)
.L2:
	movq	-32(%rbp), %rax
	cmpq	%rax, -16(%rbp)
	jle	.L3
	movq	-24(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	printf@PLT
	movl	$0, %eax
	movq	-8(%rbp), %rdx
	subq	%fs:40, %rdx
	je	.L5
	call	__stack_chk_fail@PLT
.L5:
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE6:
	.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	"%lld"
	.section	.text.startup,"ax",@progbits
	.p2align 4
	.globl	main
	.type	main, @function
main:
.LFB51:
	.cfi_startproc
	endbr64
	pushq	%rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	leaq	.LC0(%rip), %rbp
	movq	%rbp, %rdi
	subq	$16, %rsp
	.cfi_def_cfa_offset 32
	movq	%fs:40, %rax
	movq	%rax, 8(%rsp)
	xorl	%eax, %eax
	movq	%rsp, %rsi
	call	__isoc99_scanf@PLT
	movq	(%rsp), %rsi
	testq	%rsi, %rsi
	jle	.L5
	leaq	1(%rsi), %rdi
	movl	$1, %ecx
	xorl	%r8d, %r8d
	.p2align 4,,10
	.p2align 3
.L3:
	movq	%rsi, %rax
	cqto
	idivq	%rcx
	leaq	1(%rax), %rdx
	imulq	%rax, %rdx
	sarq	%rdx
	imulq	%rcx, %rdx
	addq	$1, %rcx
	addq	%rdx, %r8
	cmpq	%rdi, %rcx
	jne	.L3
.L2:
	xorl	%eax, %eax
	movq	%r8, %rdx
	movq	%rbp, %rsi
	movl	$1, %edi
	call	__printf_chk@PLT
	movq	8(%rsp), %rax
	subq	%fs:40, %rax
	jne	.L9
	addq	$16, %rsp
	.cfi_remember_state
	.cfi_def_cfa_offset 16
	xorl	%eax, %eax
	popq	%rbp
	.cfi_def_cfa_offset 8
	ret
.L5:
	.cfi_restore_state
	xorl	%r8d, %r8d
	jmp	.L2
.L9:
	call	__stack_chk_fail@PLT
	.cfi_endproc
.LFE51:
	.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	"%lld"
	.section	.text.startup,"ax",@progbits
	.p2align 4
	.globl	main
	.type	main, @function
main:
.LFB51:
	.cfi_startproc
	endbr64
	pushq	%rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	leaq	.LC0(%rip), %rbp
	movq	%rbp, %rdi
	subq	$16, %rsp
	.cfi_def_cfa_offset 32
	movq	%fs:40, %rax
	movq	%rax, 8(%rsp)
	xorl	%eax, %eax
	movq	%rsp, %rsi
	call	__isoc99_scanf@PLT
	movq	(%rsp), %rsi
	testq	%rsi, %rsi
	jle	.L5
	leaq	1(%rsi), %rdi
	movl	$1, %ecx
	xorl	%r8d, %r8d
	.p2align 4,,10
	.p2align 3
.L3:
	movq	%rsi, %rax
	cqto
	idivq	%rcx
	leaq	1(%rax), %rdx
	imulq	%rax, %rdx
	sarq	%rdx
	imulq	%rcx, %rdx
	addq	$1, %rcx
	addq	%rdx, %r8
	cmpq	%rdi, %rcx
	jne	.L3
.L2:
	xorl	%eax, %eax
	movq	%r8, %rdx
	movq	%rbp, %rsi
	movl	$1, %edi
	call	__printf_chk@PLT
	movq	8(%rsp), %rax
	subq	%fs:40, %rax
	jne	.L9
	addq	$16, %rsp
	.cfi_remember_state
	.cfi_def_cfa_offset 16
	xorl	%eax, %eax
	popq	%rbp
	.cfi_def_cfa_offset 8
	ret
.L5:
	.cfi_restore_state
	xorl	%r8d, %r8d
	jmp	.L2
.L9:
	call	__stack_chk_fail@PLT
	.cfi_endproc
.LFE51:
	.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 <math.h>
#include <stdarg.h>
#include <stdio.h>
#include <stdlib.h>
#include <string.h>
#define PI acos(-1)

typedef unsigned long long int ull;
typedef long long int ll;
typedef long double ld;

int main(void) {
  int scan;
  ll  n;
  ll  answer;

  scan = scanf("%lld", &n);
  answer = 0;
  for (ll k = 1; k <= n; k++) {
    answer += ((n / k) * (n / k + 1) / 2) * k;
  }
  printf("%lld", answer);
  return (0);
}

7
 110
 10000010
 0
 010
 10010010
 011
 10011010
 001
 10111010

71 32807 838628488460801 0 170 840356484096754 192 840530336686548 1 857913109540086
Given the following C code and unoptimized assembly code, your task is to generate highly optimized x86-64 assembly code.
C Code:

```c
#include <math.h>
#include <stdarg.h>
#include <stdio.h>
#include <stdlib.h>
#include <string.h>
#define PI acos(-1)

typedef unsigned long long int ull;
typedef long long int ll;
typedef long double ld;

int main(void) {
  int scan;
  ll  n;
  ll  answer;

  scan = scanf("%lld", &n);
  answer = 0;
  for (ll k = 1; k <= n; k++) {
    answer += ((n / k) * (n / k + 1) / 2) * k;
  }
  printf("%lld", answer);
  return (0);
}
```

Unoptimized Assembly Code:

```assembly
	.file	"temp.c"
	.text
	.section	.rodata
.LC0:
	.string	"%lld"
	.text
	.globl	main
	.type	main, @function
main:
.LFB6:
	.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
	leaq	-32(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movl	%eax, -36(%rbp)
	movq	$0, -24(%rbp)
	movq	$1, -16(%rbp)
	jmp	.L2
.L3:
	movq	-32(%rbp), %rax
	cqto
	idivq	-16(%rbp)
	movq	%rax, %rcx
	movq	-32(%rbp), %rax
	cqto
	idivq	-16(%rbp)
	addq	$1, %rax
	imulq	%rcx, %rax
	movq	%rax, %rdx
	shrq	$63, %rdx
	addq	%rdx, %rax
	sarq	%rax
	imulq	-16(%rbp), %rax
	addq	%rax, -24(%rbp)
	addq	$1, -16(%rbp)
.L2:
	movq	-32(%rbp), %rax
	cmpq	%rax, -16(%rbp)
	jle	.L3
	movq	-24(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	printf@PLT
	movl	$0, %eax
	movq	-8(%rbp), %rdx
	subq	%fs:40, %rdx
	je	.L5
	call	__stack_chk_fail@PLT
.L5:
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE6:
	.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	"%lld"
	.text
	.globl	main
	.type	main, @function
main:
.LFB6:
	.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
	leaq	-32(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movl	%eax, -36(%rbp)
	movq	$0, -24(%rbp)
	movq	$1, -16(%rbp)
	jmp	.L2
.L3:
	movq	-32(%rbp), %rax
	cqto
	idivq	-16(%rbp)
	movq	%rax, %rcx
	movq	-32(%rbp), %rax
	cqto
	idivq	-16(%rbp)
	addq	$1, %rax
	imulq	%rcx, %rax
	movq	%rax, %rdx
	shrq	$63, %rdx
	addq	%rdx, %rax
	sarq	%rax
	imulq	-16(%rbp), %rax
	addq	%rax, -24(%rbp)
	addq	$1, -16(%rbp)
.L2:
	movq	-32(%rbp), %rax
	cmpq	%rax, -16(%rbp)
	jle	.L3
	movq	-24(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	printf@PLT
	movl	$0, %eax
	movq	-8(%rbp), %rdx
	subq	%fs:40, %rdx
	je	.L5
	call	__stack_chk_fail@PLT
.L5:
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE6:
	.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:
