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) {

    long long a, b, c, mod, N, ans;

    a = 1; b = 1; c = 1;

    scanf("%lld", &N);

    mod = pow(10, 9) + 7;

    for (int i = 0; i < N; i++) {
        a *= 10; a %= mod;
        b *= 9; b %= mod;
        c *= 8; c %= mod;
    }

    ans = (a - b - b + c);
    //printf("%lld\n", ans);

    ans %= mod;
    //printf("%lld\n", ans);

    ans = (ans + mod) % mod;
    printf("%lld\n", ans);

    return 0;
}```

Unoptimized Assembly Code:

```assembly
	.file	"temp.c"
	.text
	.section	.rodata
.LC0:
	.string	"%lld"
.LC1:
	.string	"%lld\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	$64, %rsp
	movq	%fs:40, %rax
	movq	%rax, -8(%rbp)
	xorl	%eax, %eax
	movq	$1, -48(%rbp)
	movq	$1, -40(%rbp)
	movq	$1, -32(%rbp)
	leaq	-56(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movq	$1000000007, -24(%rbp)
	movl	$0, -60(%rbp)
	jmp	.L2
.L3:
	movq	-48(%rbp), %rdx
	movq	%rdx, %rax
	salq	$2, %rax
	addq	%rdx, %rax
	addq	%rax, %rax
	movq	%rax, -48(%rbp)
	movq	-48(%rbp), %rax
	cqto
	idivq	-24(%rbp)
	movq	%rdx, -48(%rbp)
	movq	-40(%rbp), %rdx
	movq	%rdx, %rax
	salq	$3, %rax
	addq	%rdx, %rax
	movq	%rax, -40(%rbp)
	movq	-40(%rbp), %rax
	cqto
	idivq	-24(%rbp)
	movq	%rdx, -40(%rbp)
	salq	$3, -32(%rbp)
	movq	-32(%rbp), %rax
	cqto
	idivq	-24(%rbp)
	movq	%rdx, -32(%rbp)
	addl	$1, -60(%rbp)
.L2:
	movl	-60(%rbp), %eax
	movslq	%eax, %rdx
	movq	-56(%rbp), %rax
	cmpq	%rax, %rdx
	jl	.L3
	movq	-48(%rbp), %rax
	subq	-40(%rbp), %rax
	subq	-40(%rbp), %rax
	movq	%rax, %rdx
	movq	-32(%rbp), %rax
	addq	%rdx, %rax
	movq	%rax, -16(%rbp)
	movq	-16(%rbp), %rax
	cqto
	idivq	-24(%rbp)
	movq	%rdx, -16(%rbp)
	movq	-16(%rbp), %rdx
	movq	-24(%rbp), %rax
	addq	%rdx, %rax
	cqto
	idivq	-24(%rbp)
	movq	%rdx, -16(%rbp)
	movq	-16(%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	.L5
	call	__stack_chk_fail@PLT
.L5:
	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	"%lld"
.LC1:
	.string	"%lld\n"
	.section	.text.startup,"ax",@progbits
	.p2align 4
	.globl	main
	.type	main, @function
main:
.LFB23:
	.cfi_startproc
	endbr64
	subq	$24, %rsp
	.cfi_def_cfa_offset 32
	leaq	.LC0(%rip), %rdi
	movq	%fs:40, %rax
	movq	%rax, 8(%rsp)
	xorl	%eax, %eax
	movq	%rsp, %rsi
	call	__isoc99_scanf@PLT
	movq	(%rsp), %r11
	testq	%r11, %r11
	jle	.L5
	xorl	%r10d, %r10d
	movl	$1, %edi
	movl	$1, %esi
	movl	$1, %ecx
	movabsq	$-8543223828751151131, %r9
	.p2align 4,,10
	.p2align 3
.L3:
	leaq	(%rcx,%rcx,4), %r8
	addl	$1, %r10d
	addq	%r8, %r8
	movq	%r8, %rax
	imulq	%r9
	movq	%r8, %rax
	sarq	$63, %rax
	leaq	(%rdx,%r8), %rcx
	sarq	$29, %rcx
	subq	%rax, %rcx
	imulq	$1000000007, %rcx, %rax
	movq	%r8, %rcx
	leaq	(%rsi,%rsi,8), %r8
	subq	%rax, %rcx
	movq	%r8, %rax
	imulq	%r9
	movq	%r8, %rax
	sarq	$63, %rax
	leaq	(%rdx,%r8), %rsi
	sarq	$29, %rsi
	subq	%rax, %rsi
	imulq	$1000000007, %rsi, %rax
	movq	%r8, %rsi
	leaq	0(,%rdi,8), %r8
	subq	%rax, %rsi
	movq	%r8, %rax
	imulq	%r9
	movq	%r8, %rax
	sarq	$63, %rax
	leaq	(%rdx,%r8), %rdi
	sarq	$29, %rdi
	subq	%rax, %rdi
	imulq	$1000000007, %rdi, %rax
	movq	%r8, %rdi
	subq	%rax, %rdi
	cmpl	%r11d, %r10d
	jne	.L3
.L2:
	subq	%rsi, %rcx
	subq	%rsi, %rcx
	movabsq	$-8543223828751151131, %rsi
	addq	%rdi, %rcx
	movl	$1, %edi
	movq	%rcx, %rax
	imulq	%rsi
	leaq	(%rdx,%rcx), %rax
	movq	%rcx, %rdx
	sarq	$63, %rdx
	sarq	$29, %rax
	subq	%rdx, %rax
	imulq	$1000000007, %rax, %rax
	subq	%rax, %rcx
	addq	$1000000007, %rcx
	movq	%rcx, %rax
	mulq	%rsi
	xorl	%eax, %eax
	movq	%rdx, %rsi
	movq	%rcx, %rdx
	shrq	$29, %rsi
	imulq	$1000000007, %rsi, %rsi
	subq	%rsi, %rdx
	leaq	.LC1(%rip), %rsi
	call	__printf_chk@PLT
	movq	8(%rsp), %rax
	subq	%fs:40, %rax
	jne	.L9
	xorl	%eax, %eax
	addq	$24, %rsp
	.cfi_remember_state
	.cfi_def_cfa_offset 8
	ret
.L5:
	.cfi_restore_state
	movl	$1, %edi
	movl	$1, %esi
	movl	$1, %ecx
	jmp	.L2
.L9:
	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	"%lld"
.LC1:
	.string	"%lld\n"
	.section	.text.startup,"ax",@progbits
	.p2align 4
	.globl	main
	.type	main, @function
main:
.LFB23:
	.cfi_startproc
	endbr64
	subq	$24, %rsp
	.cfi_def_cfa_offset 32
	leaq	.LC0(%rip), %rdi
	movq	%fs:40, %rax
	movq	%rax, 8(%rsp)
	xorl	%eax, %eax
	movq	%rsp, %rsi
	call	__isoc99_scanf@PLT
	movq	(%rsp), %r11
	testq	%r11, %r11
	jle	.L5
	xorl	%r10d, %r10d
	movl	$1, %edi
	movl	$1, %esi
	movl	$1, %ecx
	movabsq	$-8543223828751151131, %r9
	.p2align 4,,10
	.p2align 3
.L3:
	leaq	(%rcx,%rcx,4), %r8
	addl	$1, %r10d
	addq	%r8, %r8
	movq	%r8, %rax
	imulq	%r9
	movq	%r8, %rax
	sarq	$63, %rax
	leaq	(%rdx,%r8), %rcx
	sarq	$29, %rcx
	subq	%rax, %rcx
	imulq	$1000000007, %rcx, %rax
	movq	%r8, %rcx
	leaq	(%rsi,%rsi,8), %r8
	subq	%rax, %rcx
	movq	%r8, %rax
	imulq	%r9
	movq	%r8, %rax
	sarq	$63, %rax
	leaq	(%rdx,%r8), %rsi
	sarq	$29, %rsi
	subq	%rax, %rsi
	imulq	$1000000007, %rsi, %rax
	movq	%r8, %rsi
	leaq	0(,%rdi,8), %r8
	subq	%rax, %rsi
	movq	%r8, %rax
	imulq	%r9
	movq	%r8, %rax
	sarq	$63, %rax
	leaq	(%rdx,%r8), %rdi
	sarq	$29, %rdi
	subq	%rax, %rdi
	imulq	$1000000007, %rdi, %rax
	movq	%r8, %rdi
	subq	%rax, %rdi
	cmpl	%r11d, %r10d
	jne	.L3
.L2:
	subq	%rsi, %rcx
	subq	%rsi, %rcx
	movabsq	$-8543223828751151131, %rsi
	addq	%rdi, %rcx
	movl	$1, %edi
	movq	%rcx, %rax
	imulq	%rsi
	leaq	(%rdx,%rcx), %rax
	movq	%rcx, %rdx
	sarq	$63, %rdx
	sarq	$29, %rax
	subq	%rdx, %rax
	imulq	$1000000007, %rax, %rax
	subq	%rax, %rcx
	addq	$1000000007, %rcx
	movq	%rcx, %rax
	mulq	%rsi
	xorl	%eax, %eax
	movq	%rdx, %rsi
	movq	%rcx, %rdx
	shrq	$29, %rsi
	imulq	$1000000007, %rsi, %rsi
	subq	%rsi, %rdx
	leaq	.LC1(%rip), %rsi
	call	__printf_chk@PLT
	movq	8(%rsp), %rax
	subq	%fs:40, %rax
	jne	.L9
	xorl	%eax, %eax
	addq	$24, %rsp
	.cfi_remember_state
	.cfi_def_cfa_offset 8
	ret
.L5:
	.cfi_restore_state
	movl	$1, %edi
	movl	$1, %esi
	movl	$1, %ecx
	jmp	.L2
.L9:
	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>
#include <math.h>

int main (void) {

    long long a, b, c, mod, N, ans;

    a = 1; b = 1; c = 1;

    scanf("%lld", &N);

    mod = pow(10, 9) + 7;

    for (int i = 0; i < N; i++) {
        a *= 10; a %= mod;
        b *= 9; b %= mod;
        c *= 8; c %= mod;
    }

    ans = (a - b - b + c);
    //printf("%lld\n", ans);

    ans %= mod;
    //printf("%lld\n", ans);

    ans = (ans + mod) % mod;
    printf("%lld\n", ans);

    return 0;
}
226564
 0
 3
 241465
 5
 127499
 10
 99752
 7
 112403

498733826
 0
 54
 202510248
 14670
 463923590
 100172994
 794180853
 2531214
 286663221

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) {

    long long a, b, c, mod, N, ans;

    a = 1; b = 1; c = 1;

    scanf("%lld", &N);

    mod = pow(10, 9) + 7;

    for (int i = 0; i < N; i++) {
        a *= 10; a %= mod;
        b *= 9; b %= mod;
        c *= 8; c %= mod;
    }

    ans = (a - b - b + c);
    //printf("%lld\n", ans);

    ans %= mod;
    //printf("%lld\n", ans);

    ans = (ans + mod) % mod;
    printf("%lld\n", ans);

    return 0;
}```

Unoptimized Assembly Code:

```assembly
	.file	"temp.c"
	.text
	.section	.rodata
.LC0:
	.string	"%lld"
.LC1:
	.string	"%lld\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	$64, %rsp
	movq	%fs:40, %rax
	movq	%rax, -8(%rbp)
	xorl	%eax, %eax
	movq	$1, -48(%rbp)
	movq	$1, -40(%rbp)
	movq	$1, -32(%rbp)
	leaq	-56(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movq	$1000000007, -24(%rbp)
	movl	$0, -60(%rbp)
	jmp	.L2
.L3:
	movq	-48(%rbp), %rdx
	movq	%rdx, %rax
	salq	$2, %rax
	addq	%rdx, %rax
	addq	%rax, %rax
	movq	%rax, -48(%rbp)
	movq	-48(%rbp), %rax
	cqto
	idivq	-24(%rbp)
	movq	%rdx, -48(%rbp)
	movq	-40(%rbp), %rdx
	movq	%rdx, %rax
	salq	$3, %rax
	addq	%rdx, %rax
	movq	%rax, -40(%rbp)
	movq	-40(%rbp), %rax
	cqto
	idivq	-24(%rbp)
	movq	%rdx, -40(%rbp)
	salq	$3, -32(%rbp)
	movq	-32(%rbp), %rax
	cqto
	idivq	-24(%rbp)
	movq	%rdx, -32(%rbp)
	addl	$1, -60(%rbp)
.L2:
	movl	-60(%rbp), %eax
	movslq	%eax, %rdx
	movq	-56(%rbp), %rax
	cmpq	%rax, %rdx
	jl	.L3
	movq	-48(%rbp), %rax
	subq	-40(%rbp), %rax
	subq	-40(%rbp), %rax
	movq	%rax, %rdx
	movq	-32(%rbp), %rax
	addq	%rdx, %rax
	movq	%rax, -16(%rbp)
	movq	-16(%rbp), %rax
	cqto
	idivq	-24(%rbp)
	movq	%rdx, -16(%rbp)
	movq	-16(%rbp), %rdx
	movq	-24(%rbp), %rax
	addq	%rdx, %rax
	cqto
	idivq	-24(%rbp)
	movq	%rdx, -16(%rbp)
	movq	-16(%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	.L5
	call	__stack_chk_fail@PLT
.L5:
	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	"%lld"
.LC1:
	.string	"%lld\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	$64, %rsp
	movq	%fs:40, %rax
	movq	%rax, -8(%rbp)
	xorl	%eax, %eax
	movq	$1, -48(%rbp)
	movq	$1, -40(%rbp)
	movq	$1, -32(%rbp)
	leaq	-56(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movq	$1000000007, -24(%rbp)
	movl	$0, -60(%rbp)
	jmp	.L2
.L3:
	movq	-48(%rbp), %rdx
	movq	%rdx, %rax
	salq	$2, %rax
	addq	%rdx, %rax
	addq	%rax, %rax
	movq	%rax, -48(%rbp)
	movq	-48(%rbp), %rax
	cqto
	idivq	-24(%rbp)
	movq	%rdx, -48(%rbp)
	movq	-40(%rbp), %rdx
	movq	%rdx, %rax
	salq	$3, %rax
	addq	%rdx, %rax
	movq	%rax, -40(%rbp)
	movq	-40(%rbp), %rax
	cqto
	idivq	-24(%rbp)
	movq	%rdx, -40(%rbp)
	salq	$3, -32(%rbp)
	movq	-32(%rbp), %rax
	cqto
	idivq	-24(%rbp)
	movq	%rdx, -32(%rbp)
	addl	$1, -60(%rbp)
.L2:
	movl	-60(%rbp), %eax
	movslq	%eax, %rdx
	movq	-56(%rbp), %rax
	cmpq	%rax, %rdx
	jl	.L3
	movq	-48(%rbp), %rax
	subq	-40(%rbp), %rax
	subq	-40(%rbp), %rax
	movq	%rax, %rdx
	movq	-32(%rbp), %rax
	addq	%rdx, %rax
	movq	%rax, -16(%rbp)
	movq	-16(%rbp), %rax
	cqto
	idivq	-24(%rbp)
	movq	%rdx, -16(%rbp)
	movq	-16(%rbp), %rdx
	movq	-24(%rbp), %rax
	addq	%rdx, %rax
	cqto
	idivq	-24(%rbp)
	movq	%rdx, -16(%rbp)
	movq	-16(%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	.L5
	call	__stack_chk_fail@PLT
.L5:
	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:
