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>

#define MOD 1000000007

int c[2001][2001];

int main(void) {
	int n, k;
	scanf("%d%d", &n, &k);

	for (int i = 0; i <= 2000; i++) {
		for (int j = 0; j <= i; j++) {
			if (i == 0 || j == 0) c[i][j] = 1;
			else c[i][j] = (c[i-1][j-1] + c[i-1][j]) % MOD;
		}
	}

	int r = n-k;
	for (int i = 1; i <= k; i++) {
		int rc = c[r+1][i];
		int bc = c[k-1][i-1];
		printf("%lld\n", ((long long int) rc * bc) % MOD);
	}
}
```

Unoptimized Assembly Code:

```assembly
	.file	"temp.c"
	.text
	.globl	c
	.bss
	.align 32
	.type	c, @object
	.size	c, 16016004
c:
	.zero	16016004
	.section	.rodata
.LC0:
	.string	"%d%d"
.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	$48, %rsp
	movq	%fs:40, %rax
	movq	%rax, -8(%rbp)
	xorl	%eax, %eax
	leaq	-36(%rbp), %rdx
	leaq	-40(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movl	$0, -32(%rbp)
	jmp	.L2
.L8:
	movl	$0, -28(%rbp)
	jmp	.L3
.L7:
	cmpl	$0, -32(%rbp)
	je	.L4
	cmpl	$0, -28(%rbp)
	jne	.L5
.L4:
	movl	-28(%rbp), %eax
	movslq	%eax, %rdx
	movl	-32(%rbp), %eax
	cltq
	imulq	$2001, %rax, %rax
	addq	%rdx, %rax
	leaq	0(,%rax,4), %rdx
	leaq	c(%rip), %rax
	movl	$1, (%rdx,%rax)
	jmp	.L6
.L5:
	movl	-32(%rbp), %eax
	leal	-1(%rax), %edx
	movl	-28(%rbp), %eax
	subl	$1, %eax
	movslq	%eax, %rcx
	movslq	%edx, %rax
	imulq	$2001, %rax, %rax
	addq	%rcx, %rax
	leaq	0(,%rax,4), %rdx
	leaq	c(%rip), %rax
	movl	(%rdx,%rax), %ecx
	movl	-32(%rbp), %eax
	leal	-1(%rax), %edx
	movl	-28(%rbp), %eax
	movslq	%eax, %rsi
	movslq	%edx, %rax
	imulq	$2001, %rax, %rax
	addq	%rsi, %rax
	leaq	0(,%rax,4), %rdx
	leaq	c(%rip), %rax
	movl	(%rdx,%rax), %eax
	leal	(%rcx,%rax), %edx
	movslq	%edx, %rax
	imulq	$1152921497, %rax, %rax
	shrq	$32, %rax
	sarl	$28, %eax
	movl	%edx, %ecx
	sarl	$31, %ecx
	subl	%ecx, %eax
	imull	$1000000007, %eax, %ecx
	movl	%edx, %eax
	subl	%ecx, %eax
	movl	-28(%rbp), %edx
	movslq	%edx, %rcx
	movl	-32(%rbp), %edx
	movslq	%edx, %rdx
	imulq	$2001, %rdx, %rdx
	addq	%rcx, %rdx
	leaq	0(,%rdx,4), %rcx
	leaq	c(%rip), %rdx
	movl	%eax, (%rcx,%rdx)
.L6:
	addl	$1, -28(%rbp)
.L3:
	movl	-28(%rbp), %eax
	cmpl	-32(%rbp), %eax
	jle	.L7
	addl	$1, -32(%rbp)
.L2:
	cmpl	$2000, -32(%rbp)
	jle	.L8
	movl	-40(%rbp), %eax
	movl	-36(%rbp), %edx
	subl	%edx, %eax
	movl	%eax, -20(%rbp)
	movl	$1, -24(%rbp)
	jmp	.L9
.L10:
	movl	-20(%rbp), %eax
	leal	1(%rax), %edx
	movl	-24(%rbp), %eax
	movslq	%eax, %rcx
	movslq	%edx, %rax
	imulq	$2001, %rax, %rax
	addq	%rcx, %rax
	leaq	0(,%rax,4), %rdx
	leaq	c(%rip), %rax
	movl	(%rdx,%rax), %eax
	movl	%eax, -16(%rbp)
	movl	-36(%rbp), %eax
	leal	-1(%rax), %edx
	movl	-24(%rbp), %eax
	subl	$1, %eax
	movslq	%eax, %rcx
	movslq	%edx, %rax
	imulq	$2001, %rax, %rax
	addq	%rcx, %rax
	leaq	0(,%rax,4), %rdx
	leaq	c(%rip), %rax
	movl	(%rdx,%rax), %eax
	movl	%eax, -12(%rbp)
	movl	-16(%rbp), %eax
	movslq	%eax, %rdx
	movl	-12(%rbp), %eax
	cltq
	movq	%rdx, %rcx
	imulq	%rax, %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
	movq	%rax, %rsi
	leaq	.LC1(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	printf@PLT
	addl	$1, -24(%rbp)
.L9:
	movl	-36(%rbp), %eax
	cmpl	%eax, -24(%rbp)
	jle	.L10
	movl	$0, %eax
	movq	-8(%rbp), %rdx
	subq	%fs:40, %rdx
	je	.L12
	call	__stack_chk_fail@PLT
.L12:
	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%d"
.LC2:
	.string	"%lld\n"
	.section	.text.startup,"ax",@progbits
	.p2align 4
	.globl	main
	.type	main, @function
main:
.LFB23:
	.cfi_startproc
	endbr64
	pushq	%r14
	.cfi_def_cfa_offset 16
	.cfi_offset 14, -16
	leaq	.LC0(%rip), %rdi
	pushq	%r13
	.cfi_def_cfa_offset 24
	.cfi_offset 13, -24
	pushq	%r12
	.cfi_def_cfa_offset 32
	.cfi_offset 12, -32
	pushq	%rbp
	.cfi_def_cfa_offset 40
	.cfi_offset 6, -40
	pushq	%rbx
	.cfi_def_cfa_offset 48
	.cfi_offset 3, -48
	leaq	c(%rip), %rbx
	subq	$16, %rsp
	.cfi_def_cfa_offset 64
	movq	%fs:40, %rax
	movq	%rax, 8(%rsp)
	xorl	%eax, %eax
	leaq	4(%rsp), %rdx
	movq	%rsp, %rsi
	call	__isoc99_scanf@PLT
	pxor	%xmm4, %xmm4
	movq	%rbx, %rsi
	xorl	%edx, %edx
	movdqa	%xmm4, %xmm5
	movdqa	.LC1(%rip), %xmm3
	movl	$-1, %r8d
	movl	$1, %r9d
	pcmpgtd	%xmm3, %xmm5
	.p2align 4,,10
	.p2align 3
.L2:
	testl	%edx, %edx
	jne	.L3
	movl	%r9d, c(%rip)
	addq	$8004, %rsi
	addl	$1, %r8d
	movl	$1, %edx
.L3:
	movl	$1, (%rsi)
	cmpl	$2, %r8d
	jbe	.L13
	movl	%edx, %ecx
	leaq	-8004(%rsi), %r11
	leaq	4(%rsi), %rdi
	xorl	%eax, %eax
	shrl	$2, %ecx
	leaq	-8000(%rsi), %r10
	salq	$4, %rcx
	.p2align 4,,10
	.p2align 3
.L6:
	movdqu	(%r10,%rax), %xmm7
	movdqu	(%r11,%rax), %xmm2
	movdqa	%xmm4, %xmm6
	paddd	%xmm7, %xmm2
	movdqa	%xmm5, %xmm7
	movdqa	%xmm2, %xmm1
	punpckldq	%xmm2, %xmm1
	pcmpgtd	%xmm1, %xmm6
	pmuludq	%xmm1, %xmm7
	movdqa	%xmm1, %xmm0
	pmuludq	%xmm3, %xmm0
	movdqa	%xmm2, %xmm1
	punpckhdq	%xmm2, %xmm1
	pmuludq	%xmm3, %xmm6
	paddq	%xmm7, %xmm6
	movdqa	%xmm5, %xmm7
	psllq	$32, %xmm6
	pmuludq	%xmm1, %xmm7
	paddq	%xmm6, %xmm0
	movdqa	%xmm4, %xmm6
	pcmpgtd	%xmm1, %xmm6
	pmuludq	%xmm3, %xmm1
	pmuludq	%xmm3, %xmm6
	paddq	%xmm7, %xmm6
	psllq	$32, %xmm6
	paddq	%xmm6, %xmm1
	shufps	$221, %xmm1, %xmm0
	movdqa	%xmm2, %xmm1
	psrad	$28, %xmm0
	psrad	$31, %xmm1
	psubd	%xmm1, %xmm0
	movdqa	%xmm0, %xmm6
	pslld	$5, %xmm6
	psubd	%xmm0, %xmm6
	pslld	$2, %xmm6
	paddd	%xmm0, %xmm6
	movdqa	%xmm6, %xmm1
	pslld	$5, %xmm1
	psubd	%xmm6, %xmm1
	pslld	$2, %xmm1
	paddd	%xmm0, %xmm1
	pslld	$7, %xmm1
	psubd	%xmm0, %xmm1
	movdqa	%xmm1, %xmm6
	pslld	$6, %xmm6
	psubd	%xmm1, %xmm6
	pslld	$3, %xmm6
	movdqa	%xmm6, %xmm1
	psubd	%xmm0, %xmm1
	psubd	%xmm1, %xmm2
	movups	%xmm2, (%rdi,%rax)
	addq	$16, %rax
	cmpq	%rax, %rcx
	jne	.L6
	movl	%edx, %eax
	andl	$-4, %eax
	leal	1(%rax), %ecx
	cmpl	%edx, %eax
	je	.L7
.L5:
	movslq	%edx, %rbp
	movslq	%r8d, %rdi
	movslq	%ecx, %r11
	cltq
	imulq	$2001, %rdi, %rdi
	imulq	$2001, %rbp, %rbp
	addq	%rdi, %rax
	leaq	0(%rbp,%r11), %r12
	addq	%rdi, %r11
	movl	(%rbx,%r11,4), %r10d
	addl	(%rbx,%rax,4), %r10d
	movslq	%r10d, %rax
	movl	%r10d, %r13d
	imulq	$1152921497, %rax, %rax
	sarl	$31, %r13d
	sarq	$60, %rax
	subl	%r13d, %eax
	imull	$1000000007, %eax, %eax
	subl	%eax, %r10d
	movl	%r10d, (%rbx,%r12,4)
	leal	1(%rcx), %r10d
	cmpl	%edx, %r10d
	jg	.L7
	movslq	%r10d, %r10
	addl	$2, %ecx
	leaq	0(%rbp,%r10), %r12
	addq	%rdi, %r10
	movl	(%rbx,%r10,4), %eax
	addl	(%rbx,%r11,4), %eax
	movl	%eax, %r11d
	cltq
	imulq	$1152921497, %rax, %rax
	movl	%r11d, %r13d
	sarl	$31, %r13d
	sarq	$60, %rax
	subl	%r13d, %eax
	imull	$1000000007, %eax, %eax
	subl	%eax, %r11d
	movl	%r11d, (%rbx,%r12,4)
	cmpl	%edx, %ecx
	jg	.L7
	movslq	%ecx, %rcx
	addq	%rcx, %rdi
	addq	%rcx, %rbp
	movl	(%rbx,%rdi,4), %ecx
	addl	(%rbx,%r10,4), %ecx
	movslq	%ecx, %rax
	movl	%ecx, %edi
	imulq	$1152921497, %rax, %rax
	sarl	$31, %edi
	sarq	$60, %rax
	subl	%edi, %eax
	imull	$1000000007, %eax, %eax
	subl	%eax, %ecx
	movl	%ecx, (%rbx,%rbp,4)
.L7:
	addl	$1, %edx
	addq	$8004, %rsi
	addl	$1, %r8d
	cmpl	$2001, %edx
	jne	.L2
	movl	4(%rsp), %eax
	movl	(%rsp), %ebp
	subl	%eax, %ebp
	testl	%eax, %eax
	jle	.L11
	addl	$1, %ebp
	movl	$1, %r14d
	leaq	.LC2(%rip), %r13
	movabsq	$-8543223828751151131, %r12
	movslq	%ebp, %rbp
	imulq	$8004, %rbp, %rbp
	addq	%rbx, %rbp
.L10:
	subl	$1, %eax
	leal	-1(%r14), %edx
	movq	%r13, %rsi
	movl	$1, %edi
	cltq
	movslq	%edx, %rdx
	imulq	$2001, %rax, %rax
	addq	%rdx, %rax
	movslq	(%rbx,%rax,4), %rcx
	movslq	0(%rbp,%r14,4), %rax
	addq	$1, %r14
	imulq	%rax, %rcx
	movq	%rcx, %rax
	imulq	%r12
	leaq	(%rdx,%rcx), %rax
	movq	%rcx, %rdx
	sarq	$63, %rdx
	sarq	$29, %rax
	subq	%rdx, %rax
	movq	%rcx, %rdx
	imulq	$1000000007, %rax, %rax
	subq	%rax, %rdx
	xorl	%eax, %eax
	call	__printf_chk@PLT
	movl	4(%rsp), %eax
	cmpl	%r14d, %eax
	jge	.L10
.L11:
	movq	8(%rsp), %rax
	subq	%fs:40, %rax
	jne	.L20
	addq	$16, %rsp
	.cfi_remember_state
	.cfi_def_cfa_offset 48
	xorl	%eax, %eax
	popq	%rbx
	.cfi_def_cfa_offset 40
	popq	%rbp
	.cfi_def_cfa_offset 32
	popq	%r12
	.cfi_def_cfa_offset 24
	popq	%r13
	.cfi_def_cfa_offset 16
	popq	%r14
	.cfi_def_cfa_offset 8
	ret
.L13:
	.cfi_restore_state
	xorl	%eax, %eax
	movl	$1, %ecx
	jmp	.L5
.L20:
	call	__stack_chk_fail@PLT
	.cfi_endproc
.LFE23:
	.size	main, .-main
	.globl	c
	.bss
	.align 32
	.type	c, @object
	.size	c, 16016004
c:
	.zero	16016004
	.section	.rodata.cst16,"aM",@progbits,16
	.align 16
.LC1:
	.long	1152921497
	.long	1152921497
	.long	1152921497
	.long	1152921497
	.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%d"
.LC2:
	.string	"%lld\n"
	.section	.text.startup,"ax",@progbits
	.p2align 4
	.globl	main
	.type	main, @function
main:
.LFB23:
	.cfi_startproc
	endbr64
	pushq	%r14
	.cfi_def_cfa_offset 16
	.cfi_offset 14, -16
	leaq	.LC0(%rip), %rdi
	pushq	%r13
	.cfi_def_cfa_offset 24
	.cfi_offset 13, -24
	pushq	%r12
	.cfi_def_cfa_offset 32
	.cfi_offset 12, -32
	pushq	%rbp
	.cfi_def_cfa_offset 40
	.cfi_offset 6, -40
	pushq	%rbx
	.cfi_def_cfa_offset 48
	.cfi_offset 3, -48
	leaq	c(%rip), %rbx
	subq	$16, %rsp
	.cfi_def_cfa_offset 64
	movq	%fs:40, %rax
	movq	%rax, 8(%rsp)
	xorl	%eax, %eax
	leaq	4(%rsp), %rdx
	movq	%rsp, %rsi
	call	__isoc99_scanf@PLT
	pxor	%xmm4, %xmm4
	movq	%rbx, %rsi
	xorl	%edx, %edx
	movdqa	%xmm4, %xmm5
	movdqa	.LC1(%rip), %xmm3
	movl	$-1, %r8d
	movl	$1, %r9d
	pcmpgtd	%xmm3, %xmm5
	.p2align 4,,10
	.p2align 3
.L2:
	testl	%edx, %edx
	jne	.L3
	movl	%r9d, c(%rip)
	addq	$8004, %rsi
	addl	$1, %r8d
	movl	$1, %edx
.L3:
	movl	$1, (%rsi)
	cmpl	$2, %r8d
	jbe	.L13
	movl	%edx, %ecx
	leaq	-8004(%rsi), %r11
	leaq	4(%rsi), %rdi
	xorl	%eax, %eax
	shrl	$2, %ecx
	leaq	-8000(%rsi), %r10
	salq	$4, %rcx
	.p2align 4,,10
	.p2align 3
.L6:
	movdqu	(%r10,%rax), %xmm7
	movdqu	(%r11,%rax), %xmm2
	movdqa	%xmm4, %xmm6
	paddd	%xmm7, %xmm2
	movdqa	%xmm5, %xmm7
	movdqa	%xmm2, %xmm1
	punpckldq	%xmm2, %xmm1
	pcmpgtd	%xmm1, %xmm6
	pmuludq	%xmm1, %xmm7
	movdqa	%xmm1, %xmm0
	pmuludq	%xmm3, %xmm0
	movdqa	%xmm2, %xmm1
	punpckhdq	%xmm2, %xmm1
	pmuludq	%xmm3, %xmm6
	paddq	%xmm7, %xmm6
	movdqa	%xmm5, %xmm7
	psllq	$32, %xmm6
	pmuludq	%xmm1, %xmm7
	paddq	%xmm6, %xmm0
	movdqa	%xmm4, %xmm6
	pcmpgtd	%xmm1, %xmm6
	pmuludq	%xmm3, %xmm1
	pmuludq	%xmm3, %xmm6
	paddq	%xmm7, %xmm6
	psllq	$32, %xmm6
	paddq	%xmm6, %xmm1
	shufps	$221, %xmm1, %xmm0
	movdqa	%xmm2, %xmm1
	psrad	$28, %xmm0
	psrad	$31, %xmm1
	psubd	%xmm1, %xmm0
	movdqa	%xmm0, %xmm6
	pslld	$5, %xmm6
	psubd	%xmm0, %xmm6
	pslld	$2, %xmm6
	paddd	%xmm0, %xmm6
	movdqa	%xmm6, %xmm1
	pslld	$5, %xmm1
	psubd	%xmm6, %xmm1
	pslld	$2, %xmm1
	paddd	%xmm0, %xmm1
	pslld	$7, %xmm1
	psubd	%xmm0, %xmm1
	movdqa	%xmm1, %xmm6
	pslld	$6, %xmm6
	psubd	%xmm1, %xmm6
	pslld	$3, %xmm6
	movdqa	%xmm6, %xmm1
	psubd	%xmm0, %xmm1
	psubd	%xmm1, %xmm2
	movups	%xmm2, (%rdi,%rax)
	addq	$16, %rax
	cmpq	%rax, %rcx
	jne	.L6
	movl	%edx, %eax
	andl	$-4, %eax
	leal	1(%rax), %ecx
	cmpl	%edx, %eax
	je	.L7
.L5:
	movslq	%edx, %rbp
	movslq	%r8d, %rdi
	movslq	%ecx, %r11
	cltq
	imulq	$2001, %rdi, %rdi
	imulq	$2001, %rbp, %rbp
	addq	%rdi, %rax
	leaq	0(%rbp,%r11), %r12
	addq	%rdi, %r11
	movl	(%rbx,%r11,4), %r10d
	addl	(%rbx,%rax,4), %r10d
	movslq	%r10d, %rax
	movl	%r10d, %r13d
	imulq	$1152921497, %rax, %rax
	sarl	$31, %r13d
	sarq	$60, %rax
	subl	%r13d, %eax
	imull	$1000000007, %eax, %eax
	subl	%eax, %r10d
	movl	%r10d, (%rbx,%r12,4)
	leal	1(%rcx), %r10d
	cmpl	%edx, %r10d
	jg	.L7
	movslq	%r10d, %r10
	addl	$2, %ecx
	leaq	0(%rbp,%r10), %r12
	addq	%rdi, %r10
	movl	(%rbx,%r10,4), %eax
	addl	(%rbx,%r11,4), %eax
	movl	%eax, %r11d
	cltq
	imulq	$1152921497, %rax, %rax
	movl	%r11d, %r13d
	sarl	$31, %r13d
	sarq	$60, %rax
	subl	%r13d, %eax
	imull	$1000000007, %eax, %eax
	subl	%eax, %r11d
	movl	%r11d, (%rbx,%r12,4)
	cmpl	%edx, %ecx
	jg	.L7
	movslq	%ecx, %rcx
	addq	%rcx, %rdi
	addq	%rcx, %rbp
	movl	(%rbx,%rdi,4), %ecx
	addl	(%rbx,%r10,4), %ecx
	movslq	%ecx, %rax
	movl	%ecx, %edi
	imulq	$1152921497, %rax, %rax
	sarl	$31, %edi
	sarq	$60, %rax
	subl	%edi, %eax
	imull	$1000000007, %eax, %eax
	subl	%eax, %ecx
	movl	%ecx, (%rbx,%rbp,4)
.L7:
	addl	$1, %edx
	addq	$8004, %rsi
	addl	$1, %r8d
	cmpl	$2001, %edx
	jne	.L2
	movl	4(%rsp), %eax
	movl	(%rsp), %ebp
	subl	%eax, %ebp
	testl	%eax, %eax
	jle	.L11
	addl	$1, %ebp
	movl	$1, %r14d
	leaq	.LC2(%rip), %r13
	movabsq	$-8543223828751151131, %r12
	movslq	%ebp, %rbp
	imulq	$8004, %rbp, %rbp
	addq	%rbx, %rbp
.L10:
	subl	$1, %eax
	leal	-1(%r14), %edx
	movq	%r13, %rsi
	movl	$1, %edi
	cltq
	movslq	%edx, %rdx
	imulq	$2001, %rax, %rax
	addq	%rdx, %rax
	movslq	(%rbx,%rax,4), %rcx
	movslq	0(%rbp,%r14,4), %rax
	addq	$1, %r14
	imulq	%rax, %rcx
	movq	%rcx, %rax
	imulq	%r12
	leaq	(%rdx,%rcx), %rax
	movq	%rcx, %rdx
	sarq	$63, %rdx
	sarq	$29, %rax
	subq	%rdx, %rax
	movq	%rcx, %rdx
	imulq	$1000000007, %rax, %rax
	subq	%rax, %rdx
	xorl	%eax, %eax
	call	__printf_chk@PLT
	movl	4(%rsp), %eax
	cmpl	%r14d, %eax
	jge	.L10
.L11:
	movq	8(%rsp), %rax
	subq	%fs:40, %rax
	jne	.L20
	addq	$16, %rsp
	.cfi_remember_state
	.cfi_def_cfa_offset 48
	xorl	%eax, %eax
	popq	%rbx
	.cfi_def_cfa_offset 40
	popq	%rbp
	.cfi_def_cfa_offset 32
	popq	%r12
	.cfi_def_cfa_offset 24
	popq	%r13
	.cfi_def_cfa_offset 16
	popq	%r14
	.cfi_def_cfa_offset 8
	ret
.L13:
	.cfi_restore_state
	xorl	%eax, %eax
	movl	$1, %ecx
	jmp	.L5
.L20:
	call	__stack_chk_fail@PLT
	.cfi_endproc
.LFE23:
	.size	main, .-main
	.globl	c
	.bss
	.align 32
	.type	c, @object
	.size	c, 16016004
c:
	.zero	16016004
	.section	.rodata.cst16,"aM",@progbits,16
	.align 16
.LC1:
	.long	1152921497
	.long	1152921497
	.long	1152921497
	.long	1152921497
	.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>

#define MOD 1000000007

int c[2001][2001];

int main(void) {
	int n, k;
	scanf("%d%d", &n, &k);

	for (int i = 0; i <= 2000; i++) {
		for (int j = 0; j <= i; j++) {
			if (i == 0 || j == 0) c[i][j] = 1;
			else c[i][j] = (c[i-1][j-1] + c[i-1][j]) % MOD;
		}
	}

	int r = n-k;
	for (int i = 1; i <= k; i++) {
		int rc = c[r+1][i];
		int bc = c[k-1][i-1];
		printf("%lld\n", ((long long int) rc * bc) % MOD);
	}
}

7 3
 1776 3
 7 5
 195 3
 5 5
 206 3
 96 3
 96 2
 2000 1
 7 4

5
20
10
 1774
3145302
928912524
 3
12
6
0
0
 193
37056
1179616
 1
0
0
0
0
 204
41412
1394204
 94
8742
134044
 95
4465
 2000
 4
18
12
1

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>

#define MOD 1000000007

int c[2001][2001];

int main(void) {
	int n, k;
	scanf("%d%d", &n, &k);

	for (int i = 0; i <= 2000; i++) {
		for (int j = 0; j <= i; j++) {
			if (i == 0 || j == 0) c[i][j] = 1;
			else c[i][j] = (c[i-1][j-1] + c[i-1][j]) % MOD;
		}
	}

	int r = n-k;
	for (int i = 1; i <= k; i++) {
		int rc = c[r+1][i];
		int bc = c[k-1][i-1];
		printf("%lld\n", ((long long int) rc * bc) % MOD);
	}
}
```

Unoptimized Assembly Code:

```assembly
	.file	"temp.c"
	.text
	.globl	c
	.bss
	.align 32
	.type	c, @object
	.size	c, 16016004
c:
	.zero	16016004
	.section	.rodata
.LC0:
	.string	"%d%d"
.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	$48, %rsp
	movq	%fs:40, %rax
	movq	%rax, -8(%rbp)
	xorl	%eax, %eax
	leaq	-36(%rbp), %rdx
	leaq	-40(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movl	$0, -32(%rbp)
	jmp	.L2
.L8:
	movl	$0, -28(%rbp)
	jmp	.L3
.L7:
	cmpl	$0, -32(%rbp)
	je	.L4
	cmpl	$0, -28(%rbp)
	jne	.L5
.L4:
	movl	-28(%rbp), %eax
	movslq	%eax, %rdx
	movl	-32(%rbp), %eax
	cltq
	imulq	$2001, %rax, %rax
	addq	%rdx, %rax
	leaq	0(,%rax,4), %rdx
	leaq	c(%rip), %rax
	movl	$1, (%rdx,%rax)
	jmp	.L6
.L5:
	movl	-32(%rbp), %eax
	leal	-1(%rax), %edx
	movl	-28(%rbp), %eax
	subl	$1, %eax
	movslq	%eax, %rcx
	movslq	%edx, %rax
	imulq	$2001, %rax, %rax
	addq	%rcx, %rax
	leaq	0(,%rax,4), %rdx
	leaq	c(%rip), %rax
	movl	(%rdx,%rax), %ecx
	movl	-32(%rbp), %eax
	leal	-1(%rax), %edx
	movl	-28(%rbp), %eax
	movslq	%eax, %rsi
	movslq	%edx, %rax
	imulq	$2001, %rax, %rax
	addq	%rsi, %rax
	leaq	0(,%rax,4), %rdx
	leaq	c(%rip), %rax
	movl	(%rdx,%rax), %eax
	leal	(%rcx,%rax), %edx
	movslq	%edx, %rax
	imulq	$1152921497, %rax, %rax
	shrq	$32, %rax
	sarl	$28, %eax
	movl	%edx, %ecx
	sarl	$31, %ecx
	subl	%ecx, %eax
	imull	$1000000007, %eax, %ecx
	movl	%edx, %eax
	subl	%ecx, %eax
	movl	-28(%rbp), %edx
	movslq	%edx, %rcx
	movl	-32(%rbp), %edx
	movslq	%edx, %rdx
	imulq	$2001, %rdx, %rdx
	addq	%rcx, %rdx
	leaq	0(,%rdx,4), %rcx
	leaq	c(%rip), %rdx
	movl	%eax, (%rcx,%rdx)
.L6:
	addl	$1, -28(%rbp)
.L3:
	movl	-28(%rbp), %eax
	cmpl	-32(%rbp), %eax
	jle	.L7
	addl	$1, -32(%rbp)
.L2:
	cmpl	$2000, -32(%rbp)
	jle	.L8
	movl	-40(%rbp), %eax
	movl	-36(%rbp), %edx
	subl	%edx, %eax
	movl	%eax, -20(%rbp)
	movl	$1, -24(%rbp)
	jmp	.L9
.L10:
	movl	-20(%rbp), %eax
	leal	1(%rax), %edx
	movl	-24(%rbp), %eax
	movslq	%eax, %rcx
	movslq	%edx, %rax
	imulq	$2001, %rax, %rax
	addq	%rcx, %rax
	leaq	0(,%rax,4), %rdx
	leaq	c(%rip), %rax
	movl	(%rdx,%rax), %eax
	movl	%eax, -16(%rbp)
	movl	-36(%rbp), %eax
	leal	-1(%rax), %edx
	movl	-24(%rbp), %eax
	subl	$1, %eax
	movslq	%eax, %rcx
	movslq	%edx, %rax
	imulq	$2001, %rax, %rax
	addq	%rcx, %rax
	leaq	0(,%rax,4), %rdx
	leaq	c(%rip), %rax
	movl	(%rdx,%rax), %eax
	movl	%eax, -12(%rbp)
	movl	-16(%rbp), %eax
	movslq	%eax, %rdx
	movl	-12(%rbp), %eax
	cltq
	movq	%rdx, %rcx
	imulq	%rax, %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
	movq	%rax, %rsi
	leaq	.LC1(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	printf@PLT
	addl	$1, -24(%rbp)
.L9:
	movl	-36(%rbp), %eax
	cmpl	%eax, -24(%rbp)
	jle	.L10
	movl	$0, %eax
	movq	-8(%rbp), %rdx
	subq	%fs:40, %rdx
	je	.L12
	call	__stack_chk_fail@PLT
.L12:
	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
	.globl	c
	.bss
	.align 32
	.type	c, @object
	.size	c, 16016004
c:
	.zero	16016004
	.section	.rodata
.LC0:
	.string	"%d%d"
.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	$48, %rsp
	movq	%fs:40, %rax
	movq	%rax, -8(%rbp)
	xorl	%eax, %eax
	leaq	-36(%rbp), %rdx
	leaq	-40(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movl	$0, -32(%rbp)
	jmp	.L2
.L8:
	movl	$0, -28(%rbp)
	jmp	.L3
.L7:
	cmpl	$0, -32(%rbp)
	je	.L4
	cmpl	$0, -28(%rbp)
	jne	.L5
.L4:
	movl	-28(%rbp), %eax
	movslq	%eax, %rdx
	movl	-32(%rbp), %eax
	cltq
	imulq	$2001, %rax, %rax
	addq	%rdx, %rax
	leaq	0(,%rax,4), %rdx
	leaq	c(%rip), %rax
	movl	$1, (%rdx,%rax)
	jmp	.L6
.L5:
	movl	-32(%rbp), %eax
	leal	-1(%rax), %edx
	movl	-28(%rbp), %eax
	subl	$1, %eax
	movslq	%eax, %rcx
	movslq	%edx, %rax
	imulq	$2001, %rax, %rax
	addq	%rcx, %rax
	leaq	0(,%rax,4), %rdx
	leaq	c(%rip), %rax
	movl	(%rdx,%rax), %ecx
	movl	-32(%rbp), %eax
	leal	-1(%rax), %edx
	movl	-28(%rbp), %eax
	movslq	%eax, %rsi
	movslq	%edx, %rax
	imulq	$2001, %rax, %rax
	addq	%rsi, %rax
	leaq	0(,%rax,4), %rdx
	leaq	c(%rip), %rax
	movl	(%rdx,%rax), %eax
	leal	(%rcx,%rax), %edx
	movslq	%edx, %rax
	imulq	$1152921497, %rax, %rax
	shrq	$32, %rax
	sarl	$28, %eax
	movl	%edx, %ecx
	sarl	$31, %ecx
	subl	%ecx, %eax
	imull	$1000000007, %eax, %ecx
	movl	%edx, %eax
	subl	%ecx, %eax
	movl	-28(%rbp), %edx
	movslq	%edx, %rcx
	movl	-32(%rbp), %edx
	movslq	%edx, %rdx
	imulq	$2001, %rdx, %rdx
	addq	%rcx, %rdx
	leaq	0(,%rdx,4), %rcx
	leaq	c(%rip), %rdx
	movl	%eax, (%rcx,%rdx)
.L6:
	addl	$1, -28(%rbp)
.L3:
	movl	-28(%rbp), %eax
	cmpl	-32(%rbp), %eax
	jle	.L7
	addl	$1, -32(%rbp)
.L2:
	cmpl	$2000, -32(%rbp)
	jle	.L8
	movl	-40(%rbp), %eax
	movl	-36(%rbp), %edx
	subl	%edx, %eax
	movl	%eax, -20(%rbp)
	movl	$1, -24(%rbp)
	jmp	.L9
.L10:
	movl	-20(%rbp), %eax
	leal	1(%rax), %edx
	movl	-24(%rbp), %eax
	movslq	%eax, %rcx
	movslq	%edx, %rax
	imulq	$2001, %rax, %rax
	addq	%rcx, %rax
	leaq	0(,%rax,4), %rdx
	leaq	c(%rip), %rax
	movl	(%rdx,%rax), %eax
	movl	%eax, -16(%rbp)
	movl	-36(%rbp), %eax
	leal	-1(%rax), %edx
	movl	-24(%rbp), %eax
	subl	$1, %eax
	movslq	%eax, %rcx
	movslq	%edx, %rax
	imulq	$2001, %rax, %rax
	addq	%rcx, %rax
	leaq	0(,%rax,4), %rdx
	leaq	c(%rip), %rax
	movl	(%rdx,%rax), %eax
	movl	%eax, -12(%rbp)
	movl	-16(%rbp), %eax
	movslq	%eax, %rdx
	movl	-12(%rbp), %eax
	cltq
	movq	%rdx, %rcx
	imulq	%rax, %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
	movq	%rax, %rsi
	leaq	.LC1(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	printf@PLT
	addl	$1, -24(%rbp)
.L9:
	movl	-36(%rbp), %eax
	cmpl	%eax, -24(%rbp)
	jle	.L10
	movl	$0, %eax
	movq	-8(%rbp), %rdx
	subq	%fs:40, %rdx
	je	.L12
	call	__stack_chk_fail@PLT
.L12:
	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:
