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

```c
// AOJ 3052 Milk
// 2018.3.17 bal4u

#include <stdio.h>
#include <stdlib.h>

#define M 1000000007

int main()
{
	long long a, b, x, c, ans;

	scanf("%lld%lld%lld", &a, &b, &x);
	ans = x;
	if (x > b) {
		c = (x - b) / (a - b);
		ans += ((b%M) * (c%M)) % M;
	}
	printf("%d\n", (int)(ans % M));
	return 0;
}
```

Unoptimized Assembly Code:

```assembly
	.file	"temp.c"
	.text
	.section	.rodata
.LC0:
	.string	"%lld%lld%lld"
.LC1:
	.string	"%d\n"
	.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), %rcx
	leaq	-40(%rbp), %rdx
	leaq	-48(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movq	-32(%rbp), %rax
	movq	%rax, -24(%rbp)
	movq	-32(%rbp), %rdx
	movq	-40(%rbp), %rax
	cmpq	%rax, %rdx
	jle	.L2
	movq	-32(%rbp), %rax
	movq	-40(%rbp), %rdx
	subq	%rdx, %rax
	movq	-48(%rbp), %rdx
	movq	-40(%rbp), %rcx
	movq	%rdx, %rdi
	subq	%rcx, %rdi
	cqto
	idivq	%rdi
	movq	%rax, -16(%rbp)
	movq	-40(%rbp), %rcx
	movabsq	$-8543223828751151131, %rdx
	movq	%rcx, %rax
	imulq	%rdx
	leaq	(%rdx,%rcx), %rax
	sarq	$29, %rax
	movq	%rcx, %rdx
	sarq	$63, %rdx
	subq	%rdx, %rax
	movq	%rax, %rsi
	imulq	$1000000007, %rsi, %rax
	movq	%rcx, %rsi
	subq	%rax, %rsi
	movq	-16(%rbp), %rcx
	movabsq	$-8543223828751151131, %rdx
	movq	%rcx, %rax
	imulq	%rdx
	leaq	(%rdx,%rcx), %rax
	sarq	$29, %rax
	movq	%rcx, %rdx
	sarq	$63, %rdx
	subq	%rdx, %rax
	imulq	$1000000007, %rax, %rdx
	movq	%rcx, %rax
	subq	%rdx, %rax
	imulq	%rax, %rsi
	movq	%rsi, %rcx
	movabsq	$-8543223828751151131, %rdx
	movq	%rcx, %rax
	imulq	%rdx
	leaq	(%rdx,%rcx), %rax
	sarq	$29, %rax
	movq	%rcx, %rdx
	sarq	$63, %rdx
	subq	%rdx, %rax
	imulq	$1000000007, %rax, %rdx
	movq	%rcx, %rax
	subq	%rdx, %rax
	addq	%rax, -24(%rbp)
.L2:
	movq	-24(%rbp), %rcx
	movabsq	$-8543223828751151131, %rdx
	movq	%rcx, %rax
	imulq	%rdx
	leaq	(%rdx,%rcx), %rax
	sarq	$29, %rax
	movq	%rcx, %rdx
	sarq	$63, %rdx
	subq	%rdx, %rax
	imulq	$1000000007, %rax, %rdx
	movq	%rcx, %rax
	subq	%rdx, %rax
	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	.L4
	call	__stack_chk_fail@PLT
.L4:
	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%lld%lld"
.LC1:
	.string	"%d\n"
	.section	.text.startup,"ax",@progbits
	.p2align 4
	.globl	main
	.type	main, @function
main:
.LFB39:
	.cfi_startproc
	endbr64
	subq	$40, %rsp
	.cfi_def_cfa_offset 48
	leaq	.LC0(%rip), %rdi
	movq	%fs:40, %rax
	movq	%rax, 24(%rsp)
	xorl	%eax, %eax
	leaq	16(%rsp), %rcx
	movq	%rsp, %rsi
	leaq	8(%rsp), %rdx
	call	__isoc99_scanf@PLT
	movq	16(%rsp), %rcx
	movq	8(%rsp), %rsi
	cmpq	%rcx, %rsi
	jge	.L2
	movq	%rcx, %rax
	movq	(%rsp), %rdi
	subq	%rsi, %rax
	subq	%rsi, %rdi
	cqto
	idivq	%rdi
	movl	$1000000007, %edi
	cqto
	idivq	%rdi
	movq	%rsi, %rax
	movq	%rdx, %r8
	cqto
	idivq	%rdi
	movq	%r8, %rax
	imulq	%rdx, %rax
	cqto
	idivq	%rdi
	addq	%rdx, %rcx
.L2:
	movq	%rcx, %rax
	leaq	.LC1(%rip), %rsi
	movl	$1, %edi
	movabsq	$-8543223828751151131, %rdx
	imulq	%rdx
	movq	%rcx, %rax
	sarq	$63, %rax
	addq	%rcx, %rdx
	sarq	$29, %rdx
	subq	%rax, %rdx
	xorl	%eax, %eax
	imulq	$1000000007, %rdx, %rdx
	subl	%edx, %ecx
	movl	%ecx, %edx
	call	__printf_chk@PLT
	movq	24(%rsp), %rax
	subq	%fs:40, %rax
	jne	.L6
	xorl	%eax, %eax
	addq	$40, %rsp
	.cfi_remember_state
	.cfi_def_cfa_offset 8
	ret
.L6:
	.cfi_restore_state
	call	__stack_chk_fail@PLT
	.cfi_endproc
.LFE39:
	.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%lld%lld"
.LC1:
	.string	"%d\n"
	.section	.text.startup,"ax",@progbits
	.p2align 4
	.globl	main
	.type	main, @function
main:
.LFB39:
	.cfi_startproc
	endbr64
	subq	$40, %rsp
	.cfi_def_cfa_offset 48
	leaq	.LC0(%rip), %rdi
	movq	%fs:40, %rax
	movq	%rax, 24(%rsp)
	xorl	%eax, %eax
	leaq	16(%rsp), %rcx
	movq	%rsp, %rsi
	leaq	8(%rsp), %rdx
	call	__isoc99_scanf@PLT
	movq	16(%rsp), %rcx
	movq	8(%rsp), %rsi
	cmpq	%rcx, %rsi
	jge	.L2
	movq	%rcx, %rax
	movq	(%rsp), %rdi
	subq	%rsi, %rax
	subq	%rsi, %rdi
	cqto
	idivq	%rdi
	movl	$1000000007, %edi
	cqto
	idivq	%rdi
	movq	%rsi, %rax
	movq	%rdx, %r8
	cqto
	idivq	%rdi
	movq	%r8, %rax
	imulq	%rdx, %rax
	cqto
	idivq	%rdi
	addq	%rdx, %rcx
.L2:
	movq	%rcx, %rax
	leaq	.LC1(%rip), %rsi
	movl	$1, %edi
	movabsq	$-8543223828751151131, %rdx
	imulq	%rdx
	movq	%rcx, %rax
	sarq	$63, %rax
	addq	%rcx, %rdx
	sarq	$29, %rdx
	subq	%rax, %rdx
	xorl	%eax, %eax
	imulq	$1000000007, %rdx, %rdx
	subl	%edx, %ecx
	movl	%ecx, %edx
	call	__printf_chk@PLT
	movq	24(%rsp), %rax
	subq	%fs:40, %rax
	jne	.L6
	xorl	%eax, %eax
	addq	$40, %rsp
	.cfi_remember_state
	.cfi_def_cfa_offset 8
	ret
.L6:
	.cfi_restore_state
	call	__stack_chk_fail@PLT
	.cfi_endproc
.LFE39:
	.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:

// AOJ 3052 Milk
// 2018.3.17 bal4u

#include <stdio.h>
#include <stdlib.h>

#define M 1000000007

int main()
{
	long long a, b, x, c, ans;

	scanf("%lld%lld%lld", &a, &b, &x);
	ans = x;
	if (x > b) {
		c = (x - b) / (a - b);
		ans += ((b%M) * (c%M)) % M;
	}
	printf("%d\n", (int)(ans % M));
	return 0;
}

82 69 103
 3 2 1
 82 69 114
 3 2 0
 98 69 114
 560118409912468 316250877917599 681260158257385
 5 1 5
 82 69 30
 82 69 73
 82 78 114

241
 1
 321
 0
 183
 29192407
 6
 30
 73
 816

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

```c
// AOJ 3052 Milk
// 2018.3.17 bal4u

#include <stdio.h>
#include <stdlib.h>

#define M 1000000007

int main()
{
	long long a, b, x, c, ans;

	scanf("%lld%lld%lld", &a, &b, &x);
	ans = x;
	if (x > b) {
		c = (x - b) / (a - b);
		ans += ((b%M) * (c%M)) % M;
	}
	printf("%d\n", (int)(ans % M));
	return 0;
}
```

Unoptimized Assembly Code:

```assembly
	.file	"temp.c"
	.text
	.section	.rodata
.LC0:
	.string	"%lld%lld%lld"
.LC1:
	.string	"%d\n"
	.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), %rcx
	leaq	-40(%rbp), %rdx
	leaq	-48(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movq	-32(%rbp), %rax
	movq	%rax, -24(%rbp)
	movq	-32(%rbp), %rdx
	movq	-40(%rbp), %rax
	cmpq	%rax, %rdx
	jle	.L2
	movq	-32(%rbp), %rax
	movq	-40(%rbp), %rdx
	subq	%rdx, %rax
	movq	-48(%rbp), %rdx
	movq	-40(%rbp), %rcx
	movq	%rdx, %rdi
	subq	%rcx, %rdi
	cqto
	idivq	%rdi
	movq	%rax, -16(%rbp)
	movq	-40(%rbp), %rcx
	movabsq	$-8543223828751151131, %rdx
	movq	%rcx, %rax
	imulq	%rdx
	leaq	(%rdx,%rcx), %rax
	sarq	$29, %rax
	movq	%rcx, %rdx
	sarq	$63, %rdx
	subq	%rdx, %rax
	movq	%rax, %rsi
	imulq	$1000000007, %rsi, %rax
	movq	%rcx, %rsi
	subq	%rax, %rsi
	movq	-16(%rbp), %rcx
	movabsq	$-8543223828751151131, %rdx
	movq	%rcx, %rax
	imulq	%rdx
	leaq	(%rdx,%rcx), %rax
	sarq	$29, %rax
	movq	%rcx, %rdx
	sarq	$63, %rdx
	subq	%rdx, %rax
	imulq	$1000000007, %rax, %rdx
	movq	%rcx, %rax
	subq	%rdx, %rax
	imulq	%rax, %rsi
	movq	%rsi, %rcx
	movabsq	$-8543223828751151131, %rdx
	movq	%rcx, %rax
	imulq	%rdx
	leaq	(%rdx,%rcx), %rax
	sarq	$29, %rax
	movq	%rcx, %rdx
	sarq	$63, %rdx
	subq	%rdx, %rax
	imulq	$1000000007, %rax, %rdx
	movq	%rcx, %rax
	subq	%rdx, %rax
	addq	%rax, -24(%rbp)
.L2:
	movq	-24(%rbp), %rcx
	movabsq	$-8543223828751151131, %rdx
	movq	%rcx, %rax
	imulq	%rdx
	leaq	(%rdx,%rcx), %rax
	sarq	$29, %rax
	movq	%rcx, %rdx
	sarq	$63, %rdx
	subq	%rdx, %rax
	imulq	$1000000007, %rax, %rdx
	movq	%rcx, %rax
	subq	%rdx, %rax
	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	.L4
	call	__stack_chk_fail@PLT
.L4:
	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%lld%lld"
.LC1:
	.string	"%d\n"
	.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), %rcx
	leaq	-40(%rbp), %rdx
	leaq	-48(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movq	-32(%rbp), %rax
	movq	%rax, -24(%rbp)
	movq	-32(%rbp), %rdx
	movq	-40(%rbp), %rax
	cmpq	%rax, %rdx
	jle	.L2
	movq	-32(%rbp), %rax
	movq	-40(%rbp), %rdx
	subq	%rdx, %rax
	movq	-48(%rbp), %rdx
	movq	-40(%rbp), %rcx
	movq	%rdx, %rdi
	subq	%rcx, %rdi
	cqto
	idivq	%rdi
	movq	%rax, -16(%rbp)
	movq	-40(%rbp), %rcx
	movabsq	$-8543223828751151131, %rdx
	movq	%rcx, %rax
	imulq	%rdx
	leaq	(%rdx,%rcx), %rax
	sarq	$29, %rax
	movq	%rcx, %rdx
	sarq	$63, %rdx
	subq	%rdx, %rax
	movq	%rax, %rsi
	imulq	$1000000007, %rsi, %rax
	movq	%rcx, %rsi
	subq	%rax, %rsi
	movq	-16(%rbp), %rcx
	movabsq	$-8543223828751151131, %rdx
	movq	%rcx, %rax
	imulq	%rdx
	leaq	(%rdx,%rcx), %rax
	sarq	$29, %rax
	movq	%rcx, %rdx
	sarq	$63, %rdx
	subq	%rdx, %rax
	imulq	$1000000007, %rax, %rdx
	movq	%rcx, %rax
	subq	%rdx, %rax
	imulq	%rax, %rsi
	movq	%rsi, %rcx
	movabsq	$-8543223828751151131, %rdx
	movq	%rcx, %rax
	imulq	%rdx
	leaq	(%rdx,%rcx), %rax
	sarq	$29, %rax
	movq	%rcx, %rdx
	sarq	$63, %rdx
	subq	%rdx, %rax
	imulq	$1000000007, %rax, %rdx
	movq	%rcx, %rax
	subq	%rdx, %rax
	addq	%rax, -24(%rbp)
.L2:
	movq	-24(%rbp), %rcx
	movabsq	$-8543223828751151131, %rdx
	movq	%rcx, %rax
	imulq	%rdx
	leaq	(%rdx,%rcx), %rax
	sarq	$29, %rax
	movq	%rcx, %rdx
	sarq	$63, %rdx
	subq	%rdx, %rax
	imulq	$1000000007, %rax, %rdx
	movq	%rcx, %rax
	subq	%rdx, %rax
	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	.L4
	call	__stack_chk_fail@PLT
.L4:
	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:
