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

```c
#include <inttypes.h>
#include <stdint.h>
#include <stdio.h>
#include <stdlib.h>
int main(void){
	uint32_t n, k;
	scanf("%"PRIu32"%"PRIu32, &n, &k);
	uint64_t ans=1;
	for(uint32_t i=k; i<=n; i++){
		ans+=(uint64_t)i*(n-i+1)+1;
		ans%=1000000007;
	}
	printf("%"PRIu64"\n", ans);
}

```

Unoptimized Assembly Code:

```assembly
	.file	"temp.c"
	.text
	.section	.rodata
.LC0:
	.string	"%u%u"
.LC1:
	.string	"%lu\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	$32, %rsp
	movq	%fs:40, %rax
	movq	%rax, -8(%rbp)
	xorl	%eax, %eax
	leaq	-24(%rbp), %rdx
	leaq	-28(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movq	$1, -16(%rbp)
	movl	-24(%rbp), %eax
	movl	%eax, -20(%rbp)
	jmp	.L2
.L3:
	movl	-20(%rbp), %edx
	movl	-28(%rbp), %eax
	subl	-20(%rbp), %eax
	addl	$1, %eax
	movl	%eax, %eax
	imulq	%rax, %rdx
	movq	-16(%rbp), %rax
	addq	%rdx, %rax
	addq	$1, %rax
	movq	%rax, -16(%rbp)
	movq	-16(%rbp), %rcx
	movabsq	$-8543223828751151131, %rdx
	movq	%rcx, %rax
	mulq	%rdx
	movq	%rdx, %rax
	shrq	$29, %rax
	imulq	$1000000007, %rax, %rdx
	movq	%rcx, %rax
	subq	%rdx, %rax
	movq	%rax, -16(%rbp)
	addl	$1, -20(%rbp)
.L2:
	movl	-28(%rbp), %eax
	cmpl	%eax, -20(%rbp)
	jbe	.L3
	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
.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	"%u%u"
.LC1:
	.string	"%lu\n"
	.section	.text.startup,"ax",@progbits
	.p2align 4
	.globl	main
	.type	main, @function
main:
.LFB39:
	.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
	leaq	4(%rsp), %rdx
	movq	%rsp, %rsi
	call	__isoc99_scanf@PLT
	movl	4(%rsp), %ecx
	movl	(%rsp), %edi
	cmpl	%edi, %ecx
	ja	.L5
	leal	1(%rdi), %r9d
	movl	$1, %edx
	movabsq	$-8543223828751151131, %r8
	.p2align 4,,10
	.p2align 3
.L3:
	movl	%r9d, %eax
	movl	%ecx, %esi
	subl	%ecx, %eax
	addl	$1, %ecx
	imulq	%rsi, %rax
	leaq	1(%rdx,%rax), %rsi
	movq	%rsi, %rax
	mulq	%r8
	shrq	$29, %rdx
	imulq	$1000000007, %rdx, %rax
	subq	%rax, %rsi
	movq	%rsi, %rdx
	cmpl	%edi, %ecx
	jbe	.L3
.L2:
	xorl	%eax, %eax
	leaq	.LC1(%rip), %rsi
	movl	$1, %edi
	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, %edx
	jmp	.L2
.L9:
	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	"%u%u"
.LC1:
	.string	"%lu\n"
	.section	.text.startup,"ax",@progbits
	.p2align 4
	.globl	main
	.type	main, @function
main:
.LFB39:
	.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
	leaq	4(%rsp), %rdx
	movq	%rsp, %rsi
	call	__isoc99_scanf@PLT
	movl	4(%rsp), %ecx
	movl	(%rsp), %edi
	cmpl	%edi, %ecx
	ja	.L5
	leal	1(%rdi), %r9d
	movl	$1, %edx
	movabsq	$-8543223828751151131, %r8
	.p2align 4,,10
	.p2align 3
.L3:
	movl	%r9d, %eax
	movl	%ecx, %esi
	subl	%ecx, %eax
	addl	$1, %ecx
	imulq	%rsi, %rax
	leaq	1(%rdx,%rax), %rsi
	movq	%rsi, %rax
	mulq	%r8
	shrq	$29, %rdx
	imulq	$1000000007, %rdx, %rax
	subq	%rax, %rsi
	movq	%rsi, %rdx
	cmpl	%edi, %ecx
	jbe	.L3
.L2:
	xorl	%eax, %eax
	leaq	.LC1(%rip), %rsi
	movl	$1, %edi
	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, %edx
	jmp	.L2
.L9:
	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:

#include <inttypes.h>
#include <stdint.h>
#include <stdio.h>
#include <stdlib.h>
int main(void){
	uint32_t n, k;
	scanf("%"PRIu32"%"PRIu32, &n, &k);
	uint64_t ans=1;
	for(uint32_t i=k; i<=n; i++){
		ans+=(uint64_t)i*(n-i+1)+1;
		ans%=1000000007;
	}
	printf("%"PRIu64"\n", ans);
}


141421 60408
 206306 200001
 3 1
 10931 60408
 107814 81103
 3981 3277
 6048 4398
 10232 4398
 1001 598
 1001 546

832536804
 7746530
 14
 1
 472847449
 873931631
 747717858
 993609367
 59912595
 72694533

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

```c
#include <inttypes.h>
#include <stdint.h>
#include <stdio.h>
#include <stdlib.h>
int main(void){
	uint32_t n, k;
	scanf("%"PRIu32"%"PRIu32, &n, &k);
	uint64_t ans=1;
	for(uint32_t i=k; i<=n; i++){
		ans+=(uint64_t)i*(n-i+1)+1;
		ans%=1000000007;
	}
	printf("%"PRIu64"\n", ans);
}

```

Unoptimized Assembly Code:

```assembly
	.file	"temp.c"
	.text
	.section	.rodata
.LC0:
	.string	"%u%u"
.LC1:
	.string	"%lu\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	$32, %rsp
	movq	%fs:40, %rax
	movq	%rax, -8(%rbp)
	xorl	%eax, %eax
	leaq	-24(%rbp), %rdx
	leaq	-28(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movq	$1, -16(%rbp)
	movl	-24(%rbp), %eax
	movl	%eax, -20(%rbp)
	jmp	.L2
.L3:
	movl	-20(%rbp), %edx
	movl	-28(%rbp), %eax
	subl	-20(%rbp), %eax
	addl	$1, %eax
	movl	%eax, %eax
	imulq	%rax, %rdx
	movq	-16(%rbp), %rax
	addq	%rdx, %rax
	addq	$1, %rax
	movq	%rax, -16(%rbp)
	movq	-16(%rbp), %rcx
	movabsq	$-8543223828751151131, %rdx
	movq	%rcx, %rax
	mulq	%rdx
	movq	%rdx, %rax
	shrq	$29, %rax
	imulq	$1000000007, %rax, %rdx
	movq	%rcx, %rax
	subq	%rdx, %rax
	movq	%rax, -16(%rbp)
	addl	$1, -20(%rbp)
.L2:
	movl	-28(%rbp), %eax
	cmpl	%eax, -20(%rbp)
	jbe	.L3
	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
.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	"%u%u"
.LC1:
	.string	"%lu\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	$32, %rsp
	movq	%fs:40, %rax
	movq	%rax, -8(%rbp)
	xorl	%eax, %eax
	leaq	-24(%rbp), %rdx
	leaq	-28(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movq	$1, -16(%rbp)
	movl	-24(%rbp), %eax
	movl	%eax, -20(%rbp)
	jmp	.L2
.L3:
	movl	-20(%rbp), %edx
	movl	-28(%rbp), %eax
	subl	-20(%rbp), %eax
	addl	$1, %eax
	movl	%eax, %eax
	imulq	%rax, %rdx
	movq	-16(%rbp), %rax
	addq	%rdx, %rax
	addq	$1, %rax
	movq	%rax, -16(%rbp)
	movq	-16(%rbp), %rcx
	movabsq	$-8543223828751151131, %rdx
	movq	%rcx, %rax
	mulq	%rdx
	movq	%rdx, %rax
	shrq	$29, %rax
	imulq	$1000000007, %rax, %rdx
	movq	%rcx, %rax
	subq	%rdx, %rax
	movq	%rax, -16(%rbp)
	addl	$1, -20(%rbp)
.L2:
	movl	-28(%rbp), %eax
	cmpl	%eax, -20(%rbp)
	jbe	.L3
	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
.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:
