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 <math.h>

int main(void) {

  int n;
  scanf("%d", &n);
  long mod = pow(10,9)+7;
  int prime[1001];
  prime[0] = 0;
  prime[1] = 0;
  for (int i = 2; i <= 1000; i++) {
    prime[i] = 1;
  }
  for (int i = 2; i <= 1000; i++) {
    if (prime[i] == 1) {
      for (int j = 2; i*j <= 1000; j++) {
        prime[i*j] = 0;
      }
    }
  }
  long factors[1001];
  for (int i = 1; i <= 1000; i++) {
    factors[i] = 0;
  }
  long number;
  for (int i = 2; i <= n; i++) {
    number = i;
    for (int j = 2; j <= i; j++) {
      if (prime[j] == 1) {
        if (number%j == 0) {
          number /= j;
          factors[j]++;
          while (number%j == 0) {
            number /= j;
            factors[j]++;
          }
        }
      }
    }
  }
  long sum = 1;
  for (int i = 2; i <= n; i++) {
    if (factors[i] > 0) {
      sum *= factors[i]+1;
      sum %= mod;
    }
  }
  printf("%ld\n", sum);

  return 0;
}```

Unoptimized Assembly Code:

```assembly
	.file	"temp.c"
	.text
	.section	.rodata
.LC0:
	.string	"%d"
.LC1:
	.string	"%ld\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	$4096, %rsp
	orq	$0, (%rsp)
	subq	$4096, %rsp
	orq	$0, (%rsp)
	subq	$3904, %rsp
	movq	%fs:40, %rax
	movq	%rax, -8(%rbp)
	xorl	%eax, %eax
	leaq	-12088(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movq	$1000000007, -12040(%rbp)
	movl	$0, -12032(%rbp)
	movl	$0, -12028(%rbp)
	movl	$2, -12084(%rbp)
	jmp	.L2
.L3:
	movl	-12084(%rbp), %eax
	cltq
	movl	$1, -12032(%rbp,%rax,4)
	addl	$1, -12084(%rbp)
.L2:
	cmpl	$1000, -12084(%rbp)
	jle	.L3
	movl	$2, -12080(%rbp)
	jmp	.L4
.L8:
	movl	-12080(%rbp), %eax
	cltq
	movl	-12032(%rbp,%rax,4), %eax
	cmpl	$1, %eax
	jne	.L5
	movl	$2, -12076(%rbp)
	jmp	.L6
.L7:
	movl	-12080(%rbp), %eax
	imull	-12076(%rbp), %eax
	cltq
	movl	$0, -12032(%rbp,%rax,4)
	addl	$1, -12076(%rbp)
.L6:
	movl	-12080(%rbp), %eax
	imull	-12076(%rbp), %eax
	cmpl	$1000, %eax
	jle	.L7
.L5:
	addl	$1, -12080(%rbp)
.L4:
	cmpl	$1000, -12080(%rbp)
	jle	.L8
	movl	$1, -12072(%rbp)
	jmp	.L9
.L10:
	movl	-12072(%rbp), %eax
	cltq
	movq	$0, -8016(%rbp,%rax,8)
	addl	$1, -12072(%rbp)
.L9:
	cmpl	$1000, -12072(%rbp)
	jle	.L10
	movl	$2, -12068(%rbp)
	jmp	.L11
.L17:
	movl	-12068(%rbp), %eax
	cltq
	movq	%rax, -12056(%rbp)
	movl	$2, -12064(%rbp)
	jmp	.L12
.L16:
	movl	-12064(%rbp), %eax
	cltq
	movl	-12032(%rbp,%rax,4), %eax
	cmpl	$1, %eax
	jne	.L13
	movl	-12064(%rbp), %eax
	movslq	%eax, %rcx
	movq	-12056(%rbp), %rax
	cqto
	idivq	%rcx
	movq	%rdx, %rax
	testq	%rax, %rax
	jne	.L13
	movl	-12064(%rbp), %eax
	movslq	%eax, %rsi
	movq	-12056(%rbp), %rax
	cqto
	idivq	%rsi
	movq	%rax, -12056(%rbp)
	movl	-12064(%rbp), %eax
	cltq
	movq	-8016(%rbp,%rax,8), %rax
	leaq	1(%rax), %rdx
	movl	-12064(%rbp), %eax
	cltq
	movq	%rdx, -8016(%rbp,%rax,8)
	jmp	.L14
.L15:
	movl	-12064(%rbp), %eax
	movslq	%eax, %rdi
	movq	-12056(%rbp), %rax
	cqto
	idivq	%rdi
	movq	%rax, -12056(%rbp)
	movl	-12064(%rbp), %eax
	cltq
	movq	-8016(%rbp,%rax,8), %rax
	leaq	1(%rax), %rdx
	movl	-12064(%rbp), %eax
	cltq
	movq	%rdx, -8016(%rbp,%rax,8)
.L14:
	movl	-12064(%rbp), %eax
	movslq	%eax, %rcx
	movq	-12056(%rbp), %rax
	cqto
	idivq	%rcx
	movq	%rdx, %rax
	testq	%rax, %rax
	je	.L15
.L13:
	addl	$1, -12064(%rbp)
.L12:
	movl	-12064(%rbp), %eax
	cmpl	-12068(%rbp), %eax
	jle	.L16
	addl	$1, -12068(%rbp)
.L11:
	movl	-12088(%rbp), %eax
	cmpl	%eax, -12068(%rbp)
	jle	.L17
	movq	$1, -12048(%rbp)
	movl	$2, -12060(%rbp)
	jmp	.L18
.L20:
	movl	-12060(%rbp), %eax
	cltq
	movq	-8016(%rbp,%rax,8), %rax
	testq	%rax, %rax
	jle	.L19
	movl	-12060(%rbp), %eax
	cltq
	movq	-8016(%rbp,%rax,8), %rax
	leaq	1(%rax), %rdx
	movq	-12048(%rbp), %rax
	imulq	%rdx, %rax
	movq	%rax, -12048(%rbp)
	movq	-12048(%rbp), %rax
	cqto
	idivq	-12040(%rbp)
	movq	%rdx, -12048(%rbp)
.L19:
	addl	$1, -12060(%rbp)
.L18:
	movl	-12088(%rbp), %eax
	cmpl	%eax, -12060(%rbp)
	jle	.L20
	movq	-12048(%rbp), %rax
	movq	%rax, %rsi
	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	.L22
	call	__stack_chk_fail@PLT
.L22:
	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"
.LC3:
	.string	"%ld\n"
	.section	.text.startup,"ax",@progbits
	.p2align 4
	.globl	main
	.type	main, @function
main:
.LFB23:
	.cfi_startproc
	endbr64
	pushq	%r13
	.cfi_def_cfa_offset 16
	.cfi_offset 13, -16
	pushq	%r12
	.cfi_def_cfa_offset 24
	.cfi_offset 12, -24
	pushq	%rbp
	.cfi_def_cfa_offset 32
	.cfi_offset 6, -32
	pushq	%rbx
	.cfi_def_cfa_offset 40
	.cfi_offset 3, -40
	subq	$4096, %rsp
	.cfi_def_cfa_offset 4136
	orq	$0, (%rsp)
	subq	$4096, %rsp
	.cfi_def_cfa_offset 8232
	orq	$0, (%rsp)
	subq	$3864, %rsp
	.cfi_def_cfa_offset 12096
	leaq	.LC0(%rip), %rdi
	movq	%fs:40, %rax
	movq	%rax, 12040(%rsp)
	xorl	%eax, %eax
	leaq	12(%rsp), %rsi
	call	__isoc99_scanf@PLT
	movdqa	.LC1(%rip), %xmm0
	leaq	24(%rsp), %rax
	leaq	4008(%rsp), %rdx
	.p2align 4,,10
	.p2align 3
.L2:
	movups	%xmm0, (%rax)
	addq	$16, %rax
	cmpq	%rdx, %rax
	jne	.L2
	movq	.LC2(%rip), %rax
	movl	$4, %ecx
	leaq	16(%rsp), %rsi
	movl	$1, 4016(%rsp)
	movq	%rax, 4008(%rsp)
	movl	$2, %eax
	jmp	.L4
	.p2align 4,,10
	.p2align 3
.L6:
	addq	$1, %rax
	addq	$2, %rcx
	cmpq	$1001, %rax
	je	.L28
.L4:
	cmpl	$1, (%rsi,%rax,4)
	jne	.L6
	cmpq	$1000, %rcx
	ja	.L6
	movq	%rcx, %rdx
	.p2align 4,,10
	.p2align 3
.L7:
	movl	$0, (%rsi,%rdx,4)
	addq	%rax, %rdx
	cmpl	$1000, %edx
	jle	.L7
	addq	$1, %rax
	addq	$2, %rcx
	cmpq	$1001, %rax
	jne	.L4
.L28:
	leaq	4040(%rsp), %rdx
	xorl	%eax, %eax
	movl	$1000, %ecx
	movq	%rdx, %rdi
	rep stosq
	movl	12(%rsp), %eax
	cmpl	$1, %eax
	jle	.L16
	leal	-2(%rax), %r13d
	movl	$3, %r10d
	leaq	4048(%rsp), %rbp
	leaq	4(%r13), %r12
	.p2align 4,,10
	.p2align 3
.L12:
	leaq	-1(%r10), %rdi
	movq	%rbp, %rbx
	movq	%rbp, %r9
	movl	$2, %ecx
	jmp	.L11
	.p2align 4,,10
	.p2align 3
.L9:
	addq	$1, %rcx
	addq	$8, %r9
	cmpq	%rcx, %r10
	je	.L29
.L11:
	cmpl	$1, (%rsi,%rcx,4)
	jne	.L9
	movq	%rdi, %rax
	cqto
	idivq	%rcx
	testq	%rdx, %rdx
	jne	.L9
	movq	(%r9), %r8
	movq	%rax, %rdi
	leaq	1(%r8), %rax
	movq	%rax, (%r9)
	movq	%rdi, %rax
	cqto
	idivq	%rcx
	testq	%rdx, %rdx
	jne	.L9
	addq	$2, %r8
	.p2align 4,,10
	.p2align 3
.L10:
	movq	%rdi, %rax
	movq	%r8, %r11
	addq	$1, %r8
	cqto
	idivq	%rcx
	cqto
	movq	%rax, %rdi
	idivq	%rcx
	testq	%rdx, %rdx
	je	.L10
	addq	$1, %rcx
	movq	%r11, (%r9)
	addq	$8, %r9
	cmpq	%rcx, %r10
	jne	.L11
	.p2align 4,,10
	.p2align 3
.L29:
	addq	$1, %r10
	cmpq	%r12, %r10
	jne	.L12
	leaq	4056(%rsp,%r13,8), %rsi
	movl	$1, %edx
	movabsq	$-8543223828751151131, %rdi
	.p2align 4,,10
	.p2align 3
.L14:
	movq	(%rbx), %rax
	testq	%rax, %rax
	jle	.L13
	leaq	1(%rax), %rcx
	imulq	%rdx, %rcx
	movq	%rcx, %rax
	mulq	%rdi
	shrq	$29, %rdx
	imulq	$1000000007, %rdx, %rax
	subq	%rax, %rcx
	movq	%rcx, %rdx
.L13:
	addq	$8, %rbx
	cmpq	%rsi, %rbx
	jne	.L14
.L8:
	xorl	%eax, %eax
	leaq	.LC3(%rip), %rsi
	movl	$1, %edi
	call	__printf_chk@PLT
	movq	12040(%rsp), %rax
	subq	%fs:40, %rax
	jne	.L30
	addq	$12056, %rsp
	.cfi_remember_state
	.cfi_def_cfa_offset 40
	xorl	%eax, %eax
	popq	%rbx
	.cfi_def_cfa_offset 32
	popq	%rbp
	.cfi_def_cfa_offset 24
	popq	%r12
	.cfi_def_cfa_offset 16
	popq	%r13
	.cfi_def_cfa_offset 8
	ret
.L16:
	.cfi_restore_state
	movl	$1, %edx
	jmp	.L8
.L30:
	call	__stack_chk_fail@PLT
	.cfi_endproc
.LFE23:
	.size	main, .-main
	.section	.rodata.cst16,"aM",@progbits,16
	.align 16
.LC1:
	.long	1
	.long	1
	.long	1
	.long	1
	.set	.LC2,.LC1
	.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"
.LC3:
	.string	"%ld\n"
	.section	.text.startup,"ax",@progbits
	.p2align 4
	.globl	main
	.type	main, @function
main:
.LFB23:
	.cfi_startproc
	endbr64
	pushq	%r13
	.cfi_def_cfa_offset 16
	.cfi_offset 13, -16
	pushq	%r12
	.cfi_def_cfa_offset 24
	.cfi_offset 12, -24
	pushq	%rbp
	.cfi_def_cfa_offset 32
	.cfi_offset 6, -32
	pushq	%rbx
	.cfi_def_cfa_offset 40
	.cfi_offset 3, -40
	subq	$4096, %rsp
	.cfi_def_cfa_offset 4136
	orq	$0, (%rsp)
	subq	$4096, %rsp
	.cfi_def_cfa_offset 8232
	orq	$0, (%rsp)
	subq	$3864, %rsp
	.cfi_def_cfa_offset 12096
	leaq	.LC0(%rip), %rdi
	movq	%fs:40, %rax
	movq	%rax, 12040(%rsp)
	xorl	%eax, %eax
	leaq	12(%rsp), %rsi
	call	__isoc99_scanf@PLT
	movdqa	.LC1(%rip), %xmm0
	leaq	24(%rsp), %rax
	leaq	4008(%rsp), %rdx
	.p2align 4,,10
	.p2align 3
.L2:
	movups	%xmm0, (%rax)
	addq	$16, %rax
	cmpq	%rdx, %rax
	jne	.L2
	movq	.LC2(%rip), %rax
	movl	$4, %ecx
	leaq	16(%rsp), %rsi
	movl	$1, 4016(%rsp)
	movq	%rax, 4008(%rsp)
	movl	$2, %eax
	jmp	.L4
	.p2align 4,,10
	.p2align 3
.L6:
	addq	$1, %rax
	addq	$2, %rcx
	cmpq	$1001, %rax
	je	.L28
.L4:
	cmpl	$1, (%rsi,%rax,4)
	jne	.L6
	cmpq	$1000, %rcx
	ja	.L6
	movq	%rcx, %rdx
	.p2align 4,,10
	.p2align 3
.L7:
	movl	$0, (%rsi,%rdx,4)
	addq	%rax, %rdx
	cmpl	$1000, %edx
	jle	.L7
	addq	$1, %rax
	addq	$2, %rcx
	cmpq	$1001, %rax
	jne	.L4
.L28:
	leaq	4040(%rsp), %rdx
	xorl	%eax, %eax
	movl	$1000, %ecx
	movq	%rdx, %rdi
	rep stosq
	movl	12(%rsp), %eax
	cmpl	$1, %eax
	jle	.L16
	leal	-2(%rax), %r13d
	movl	$3, %r10d
	leaq	4048(%rsp), %rbp
	leaq	4(%r13), %r12
	.p2align 4,,10
	.p2align 3
.L12:
	leaq	-1(%r10), %rdi
	movq	%rbp, %rbx
	movq	%rbp, %r9
	movl	$2, %ecx
	jmp	.L11
	.p2align 4,,10
	.p2align 3
.L9:
	addq	$1, %rcx
	addq	$8, %r9
	cmpq	%rcx, %r10
	je	.L29
.L11:
	cmpl	$1, (%rsi,%rcx,4)
	jne	.L9
	movq	%rdi, %rax
	cqto
	idivq	%rcx
	testq	%rdx, %rdx
	jne	.L9
	movq	(%r9), %r8
	movq	%rax, %rdi
	leaq	1(%r8), %rax
	movq	%rax, (%r9)
	movq	%rdi, %rax
	cqto
	idivq	%rcx
	testq	%rdx, %rdx
	jne	.L9
	addq	$2, %r8
	.p2align 4,,10
	.p2align 3
.L10:
	movq	%rdi, %rax
	movq	%r8, %r11
	addq	$1, %r8
	cqto
	idivq	%rcx
	cqto
	movq	%rax, %rdi
	idivq	%rcx
	testq	%rdx, %rdx
	je	.L10
	addq	$1, %rcx
	movq	%r11, (%r9)
	addq	$8, %r9
	cmpq	%rcx, %r10
	jne	.L11
	.p2align 4,,10
	.p2align 3
.L29:
	addq	$1, %r10
	cmpq	%r12, %r10
	jne	.L12
	leaq	4056(%rsp,%r13,8), %rsi
	movl	$1, %edx
	movabsq	$-8543223828751151131, %rdi
	.p2align 4,,10
	.p2align 3
.L14:
	movq	(%rbx), %rax
	testq	%rax, %rax
	jle	.L13
	leaq	1(%rax), %rcx
	imulq	%rdx, %rcx
	movq	%rcx, %rax
	mulq	%rdi
	shrq	$29, %rdx
	imulq	$1000000007, %rdx, %rax
	subq	%rax, %rcx
	movq	%rcx, %rdx
.L13:
	addq	$8, %rbx
	cmpq	%rsi, %rbx
	jne	.L14
.L8:
	xorl	%eax, %eax
	leaq	.LC3(%rip), %rsi
	movl	$1, %edi
	call	__printf_chk@PLT
	movq	12040(%rsp), %rax
	subq	%fs:40, %rax
	jne	.L30
	addq	$12056, %rsp
	.cfi_remember_state
	.cfi_def_cfa_offset 40
	xorl	%eax, %eax
	popq	%rbx
	.cfi_def_cfa_offset 32
	popq	%rbp
	.cfi_def_cfa_offset 24
	popq	%r12
	.cfi_def_cfa_offset 16
	popq	%r13
	.cfi_def_cfa_offset 8
	ret
.L16:
	.cfi_restore_state
	movl	$1, %edx
	jmp	.L8
.L30:
	call	__stack_chk_fail@PLT
	.cfi_endproc
.LFE23:
	.size	main, .-main
	.section	.rodata.cst16,"aM",@progbits,16
	.align 16
.LC1:
	.long	1
	.long	1
	.long	1
	.long	1
	.set	.LC2,.LC1
	.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 <math.h>

int main(void) {

  int n;
  scanf("%d", &n);
  long mod = pow(10,9)+7;
  int prime[1001];
  prime[0] = 0;
  prime[1] = 0;
  for (int i = 2; i <= 1000; i++) {
    prime[i] = 1;
  }
  for (int i = 2; i <= 1000; i++) {
    if (prime[i] == 1) {
      for (int j = 2; i*j <= 1000; j++) {
        prime[i*j] = 0;
      }
    }
  }
  long factors[1001];
  for (int i = 1; i <= 1000; i++) {
    factors[i] = 0;
  }
  long number;
  for (int i = 2; i <= n; i++) {
    number = i;
    for (int j = 2; j <= i; j++) {
      if (prime[j] == 1) {
        if (number%j == 0) {
          number /= j;
          factors[j]++;
          while (number%j == 0) {
            number /= j;
            factors[j]++;
          }
        }
      }
    }
  }
  long sum = 1;
  for (int i = 2; i <= n; i++) {
    if (factors[i] > 0) {
      sum *= factors[i]+1;
      sum %= mod;
    }
  }
  printf("%ld\n", sum);

  return 0;
}
3

4

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 <math.h>

int main(void) {

  int n;
  scanf("%d", &n);
  long mod = pow(10,9)+7;
  int prime[1001];
  prime[0] = 0;
  prime[1] = 0;
  for (int i = 2; i <= 1000; i++) {
    prime[i] = 1;
  }
  for (int i = 2; i <= 1000; i++) {
    if (prime[i] == 1) {
      for (int j = 2; i*j <= 1000; j++) {
        prime[i*j] = 0;
      }
    }
  }
  long factors[1001];
  for (int i = 1; i <= 1000; i++) {
    factors[i] = 0;
  }
  long number;
  for (int i = 2; i <= n; i++) {
    number = i;
    for (int j = 2; j <= i; j++) {
      if (prime[j] == 1) {
        if (number%j == 0) {
          number /= j;
          factors[j]++;
          while (number%j == 0) {
            number /= j;
            factors[j]++;
          }
        }
      }
    }
  }
  long sum = 1;
  for (int i = 2; i <= n; i++) {
    if (factors[i] > 0) {
      sum *= factors[i]+1;
      sum %= mod;
    }
  }
  printf("%ld\n", sum);

  return 0;
}```

Unoptimized Assembly Code:

```assembly
	.file	"temp.c"
	.text
	.section	.rodata
.LC0:
	.string	"%d"
.LC1:
	.string	"%ld\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	$4096, %rsp
	orq	$0, (%rsp)
	subq	$4096, %rsp
	orq	$0, (%rsp)
	subq	$3904, %rsp
	movq	%fs:40, %rax
	movq	%rax, -8(%rbp)
	xorl	%eax, %eax
	leaq	-12088(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movq	$1000000007, -12040(%rbp)
	movl	$0, -12032(%rbp)
	movl	$0, -12028(%rbp)
	movl	$2, -12084(%rbp)
	jmp	.L2
.L3:
	movl	-12084(%rbp), %eax
	cltq
	movl	$1, -12032(%rbp,%rax,4)
	addl	$1, -12084(%rbp)
.L2:
	cmpl	$1000, -12084(%rbp)
	jle	.L3
	movl	$2, -12080(%rbp)
	jmp	.L4
.L8:
	movl	-12080(%rbp), %eax
	cltq
	movl	-12032(%rbp,%rax,4), %eax
	cmpl	$1, %eax
	jne	.L5
	movl	$2, -12076(%rbp)
	jmp	.L6
.L7:
	movl	-12080(%rbp), %eax
	imull	-12076(%rbp), %eax
	cltq
	movl	$0, -12032(%rbp,%rax,4)
	addl	$1, -12076(%rbp)
.L6:
	movl	-12080(%rbp), %eax
	imull	-12076(%rbp), %eax
	cmpl	$1000, %eax
	jle	.L7
.L5:
	addl	$1, -12080(%rbp)
.L4:
	cmpl	$1000, -12080(%rbp)
	jle	.L8
	movl	$1, -12072(%rbp)
	jmp	.L9
.L10:
	movl	-12072(%rbp), %eax
	cltq
	movq	$0, -8016(%rbp,%rax,8)
	addl	$1, -12072(%rbp)
.L9:
	cmpl	$1000, -12072(%rbp)
	jle	.L10
	movl	$2, -12068(%rbp)
	jmp	.L11
.L17:
	movl	-12068(%rbp), %eax
	cltq
	movq	%rax, -12056(%rbp)
	movl	$2, -12064(%rbp)
	jmp	.L12
.L16:
	movl	-12064(%rbp), %eax
	cltq
	movl	-12032(%rbp,%rax,4), %eax
	cmpl	$1, %eax
	jne	.L13
	movl	-12064(%rbp), %eax
	movslq	%eax, %rcx
	movq	-12056(%rbp), %rax
	cqto
	idivq	%rcx
	movq	%rdx, %rax
	testq	%rax, %rax
	jne	.L13
	movl	-12064(%rbp), %eax
	movslq	%eax, %rsi
	movq	-12056(%rbp), %rax
	cqto
	idivq	%rsi
	movq	%rax, -12056(%rbp)
	movl	-12064(%rbp), %eax
	cltq
	movq	-8016(%rbp,%rax,8), %rax
	leaq	1(%rax), %rdx
	movl	-12064(%rbp), %eax
	cltq
	movq	%rdx, -8016(%rbp,%rax,8)
	jmp	.L14
.L15:
	movl	-12064(%rbp), %eax
	movslq	%eax, %rdi
	movq	-12056(%rbp), %rax
	cqto
	idivq	%rdi
	movq	%rax, -12056(%rbp)
	movl	-12064(%rbp), %eax
	cltq
	movq	-8016(%rbp,%rax,8), %rax
	leaq	1(%rax), %rdx
	movl	-12064(%rbp), %eax
	cltq
	movq	%rdx, -8016(%rbp,%rax,8)
.L14:
	movl	-12064(%rbp), %eax
	movslq	%eax, %rcx
	movq	-12056(%rbp), %rax
	cqto
	idivq	%rcx
	movq	%rdx, %rax
	testq	%rax, %rax
	je	.L15
.L13:
	addl	$1, -12064(%rbp)
.L12:
	movl	-12064(%rbp), %eax
	cmpl	-12068(%rbp), %eax
	jle	.L16
	addl	$1, -12068(%rbp)
.L11:
	movl	-12088(%rbp), %eax
	cmpl	%eax, -12068(%rbp)
	jle	.L17
	movq	$1, -12048(%rbp)
	movl	$2, -12060(%rbp)
	jmp	.L18
.L20:
	movl	-12060(%rbp), %eax
	cltq
	movq	-8016(%rbp,%rax,8), %rax
	testq	%rax, %rax
	jle	.L19
	movl	-12060(%rbp), %eax
	cltq
	movq	-8016(%rbp,%rax,8), %rax
	leaq	1(%rax), %rdx
	movq	-12048(%rbp), %rax
	imulq	%rdx, %rax
	movq	%rax, -12048(%rbp)
	movq	-12048(%rbp), %rax
	cqto
	idivq	-12040(%rbp)
	movq	%rdx, -12048(%rbp)
.L19:
	addl	$1, -12060(%rbp)
.L18:
	movl	-12088(%rbp), %eax
	cmpl	%eax, -12060(%rbp)
	jle	.L20
	movq	-12048(%rbp), %rax
	movq	%rax, %rsi
	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	.L22
	call	__stack_chk_fail@PLT
.L22:
	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"
.LC1:
	.string	"%ld\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	$4096, %rsp
	orq	$0, (%rsp)
	subq	$4096, %rsp
	orq	$0, (%rsp)
	subq	$3904, %rsp
	movq	%fs:40, %rax
	movq	%rax, -8(%rbp)
	xorl	%eax, %eax
	leaq	-12088(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movq	$1000000007, -12040(%rbp)
	movl	$0, -12032(%rbp)
	movl	$0, -12028(%rbp)
	movl	$2, -12084(%rbp)
	jmp	.L2
.L3:
	movl	-12084(%rbp), %eax
	cltq
	movl	$1, -12032(%rbp,%rax,4)
	addl	$1, -12084(%rbp)
.L2:
	cmpl	$1000, -12084(%rbp)
	jle	.L3
	movl	$2, -12080(%rbp)
	jmp	.L4
.L8:
	movl	-12080(%rbp), %eax
	cltq
	movl	-12032(%rbp,%rax,4), %eax
	cmpl	$1, %eax
	jne	.L5
	movl	$2, -12076(%rbp)
	jmp	.L6
.L7:
	movl	-12080(%rbp), %eax
	imull	-12076(%rbp), %eax
	cltq
	movl	$0, -12032(%rbp,%rax,4)
	addl	$1, -12076(%rbp)
.L6:
	movl	-12080(%rbp), %eax
	imull	-12076(%rbp), %eax
	cmpl	$1000, %eax
	jle	.L7
.L5:
	addl	$1, -12080(%rbp)
.L4:
	cmpl	$1000, -12080(%rbp)
	jle	.L8
	movl	$1, -12072(%rbp)
	jmp	.L9
.L10:
	movl	-12072(%rbp), %eax
	cltq
	movq	$0, -8016(%rbp,%rax,8)
	addl	$1, -12072(%rbp)
.L9:
	cmpl	$1000, -12072(%rbp)
	jle	.L10
	movl	$2, -12068(%rbp)
	jmp	.L11
.L17:
	movl	-12068(%rbp), %eax
	cltq
	movq	%rax, -12056(%rbp)
	movl	$2, -12064(%rbp)
	jmp	.L12
.L16:
	movl	-12064(%rbp), %eax
	cltq
	movl	-12032(%rbp,%rax,4), %eax
	cmpl	$1, %eax
	jne	.L13
	movl	-12064(%rbp), %eax
	movslq	%eax, %rcx
	movq	-12056(%rbp), %rax
	cqto
	idivq	%rcx
	movq	%rdx, %rax
	testq	%rax, %rax
	jne	.L13
	movl	-12064(%rbp), %eax
	movslq	%eax, %rsi
	movq	-12056(%rbp), %rax
	cqto
	idivq	%rsi
	movq	%rax, -12056(%rbp)
	movl	-12064(%rbp), %eax
	cltq
	movq	-8016(%rbp,%rax,8), %rax
	leaq	1(%rax), %rdx
	movl	-12064(%rbp), %eax
	cltq
	movq	%rdx, -8016(%rbp,%rax,8)
	jmp	.L14
.L15:
	movl	-12064(%rbp), %eax
	movslq	%eax, %rdi
	movq	-12056(%rbp), %rax
	cqto
	idivq	%rdi
	movq	%rax, -12056(%rbp)
	movl	-12064(%rbp), %eax
	cltq
	movq	-8016(%rbp,%rax,8), %rax
	leaq	1(%rax), %rdx
	movl	-12064(%rbp), %eax
	cltq
	movq	%rdx, -8016(%rbp,%rax,8)
.L14:
	movl	-12064(%rbp), %eax
	movslq	%eax, %rcx
	movq	-12056(%rbp), %rax
	cqto
	idivq	%rcx
	movq	%rdx, %rax
	testq	%rax, %rax
	je	.L15
.L13:
	addl	$1, -12064(%rbp)
.L12:
	movl	-12064(%rbp), %eax
	cmpl	-12068(%rbp), %eax
	jle	.L16
	addl	$1, -12068(%rbp)
.L11:
	movl	-12088(%rbp), %eax
	cmpl	%eax, -12068(%rbp)
	jle	.L17
	movq	$1, -12048(%rbp)
	movl	$2, -12060(%rbp)
	jmp	.L18
.L20:
	movl	-12060(%rbp), %eax
	cltq
	movq	-8016(%rbp,%rax,8), %rax
	testq	%rax, %rax
	jle	.L19
	movl	-12060(%rbp), %eax
	cltq
	movq	-8016(%rbp,%rax,8), %rax
	leaq	1(%rax), %rdx
	movq	-12048(%rbp), %rax
	imulq	%rdx, %rax
	movq	%rax, -12048(%rbp)
	movq	-12048(%rbp), %rax
	cqto
	idivq	-12040(%rbp)
	movq	%rdx, -12048(%rbp)
.L19:
	addl	$1, -12060(%rbp)
.L18:
	movl	-12088(%rbp), %eax
	cmpl	%eax, -12060(%rbp)
	jle	.L20
	movq	-12048(%rbp), %rax
	movq	%rax, %rsi
	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	.L22
	call	__stack_chk_fail@PLT
.L22:
	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:
