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<stdlib.h>
#include<string.h>
#include<stdint.h>
#include<tgmath.h>
#include<stdbool.h>
#include<sys/queue.h>
#include<time.h>
#define ll long long
#define min(a, b) ((a) > (b) ? (b) : (a))
#define max(a, b) ((a) > (b) ? (a) : (b))

const ll mod = 1000000007ll;
ll power(ll x, ll y){
    if(y == 0ll)return 1ll;
    ll res = 1ll, tmp = x;
    while(y){
        if(y&1){
            res *= tmp;
            res %= mod;
        }
        tmp *= tmp;
        tmp %= mod;
        y >>= 1;
    }
    return res;
}

ll COM(ll x, ll y){
    if(x < y) return 0ll;
    if(x < 0 || y < 0) return 0ll;
    ll res = 1;
    for(int i=0; i<y; i++){
        res *= x - i;
        res %= mod;
        res *= power(y-i, mod-2);
        res %= mod;
    }
    return res;
}

int n, k;
main(){
    scanf("%d%d", &n, &k);
    for(int i=1; i<=k; i++){
        ll ans = COM(n-k+1, i) * COM(k-1, i-1) % mod;
        printf("%lld\n", ans);       
    }
    return 0;
}```

Unoptimized Assembly Code:

```assembly
	.file	"temp.c"
	.text
	.globl	mod
	.section	.rodata
	.align 8
	.type	mod, @object
	.size	mod, 8
mod:
	.quad	1000000007
	.text
	.globl	power
	.type	power, @function
power:
.LFB6:
	.cfi_startproc
	endbr64
	pushq	%rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	movq	%rsp, %rbp
	.cfi_def_cfa_register 6
	movq	%rdi, -24(%rbp)
	movq	%rsi, -32(%rbp)
	cmpq	$0, -32(%rbp)
	jne	.L2
	movl	$1, %eax
	jmp	.L3
.L2:
	movq	$1, -16(%rbp)
	movq	-24(%rbp), %rax
	movq	%rax, -8(%rbp)
	jmp	.L4
.L6:
	movq	-32(%rbp), %rax
	andl	$1, %eax
	testq	%rax, %rax
	je	.L5
	movq	-16(%rbp), %rax
	imulq	-8(%rbp), %rax
	movq	%rax, -16(%rbp)
	movl	$1000000007, %ecx
	movq	-16(%rbp), %rax
	cqto
	idivq	%rcx
	movq	%rdx, -16(%rbp)
.L5:
	movq	-8(%rbp), %rax
	imulq	%rax, %rax
	movq	%rax, -8(%rbp)
	movl	$1000000007, %ecx
	movq	-8(%rbp), %rax
	cqto
	idivq	%rcx
	movq	%rdx, -8(%rbp)
	sarq	-32(%rbp)
.L4:
	cmpq	$0, -32(%rbp)
	jne	.L6
	movq	-16(%rbp), %rax
.L3:
	popq	%rbp
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE6:
	.size	power, .-power
	.globl	COM
	.type	COM, @function
COM:
.LFB7:
	.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	%rdi, -24(%rbp)
	movq	%rsi, -32(%rbp)
	movq	-24(%rbp), %rax
	cmpq	-32(%rbp), %rax
	jge	.L8
	movl	$0, %eax
	jmp	.L9
.L8:
	cmpq	$0, -24(%rbp)
	js	.L10
	cmpq	$0, -32(%rbp)
	jns	.L11
.L10:
	movl	$0, %eax
	jmp	.L9
.L11:
	movq	$1, -8(%rbp)
	movl	$0, -12(%rbp)
	jmp	.L12
.L13:
	movl	-12(%rbp), %eax
	movslq	%eax, %rcx
	movq	-24(%rbp), %rax
	subq	%rcx, %rax
	movq	%rax, %rdx
	movq	-8(%rbp), %rax
	imulq	%rdx, %rax
	movq	%rax, -8(%rbp)
	movl	$1000000007, %ecx
	movq	-8(%rbp), %rax
	cqto
	idivq	%rcx
	movq	%rdx, -8(%rbp)
	movl	$1000000007, %eax
	leaq	-2(%rax), %rdx
	movl	-12(%rbp), %eax
	movslq	%eax, %rcx
	movq	-32(%rbp), %rax
	subq	%rcx, %rax
	movq	%rdx, %rsi
	movq	%rax, %rdi
	call	power
	movq	-8(%rbp), %rdx
	imulq	%rdx, %rax
	movq	%rax, -8(%rbp)
	movl	$1000000007, %ecx
	movq	-8(%rbp), %rax
	cqto
	idivq	%rcx
	movq	%rdx, -8(%rbp)
	addl	$1, -12(%rbp)
.L12:
	movl	-12(%rbp), %eax
	cltq
	cmpq	%rax, -32(%rbp)
	jg	.L13
	movq	-8(%rbp), %rax
.L9:
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE7:
	.size	COM, .-COM
	.globl	n
	.bss
	.align 4
	.type	n, @object
	.size	n, 4
n:
	.zero	4
	.globl	k
	.align 4
	.type	k, @object
	.size	k, 4
k:
	.zero	4
	.section	.rodata
.LC0:
	.string	"%d%d"
.LC1:
	.string	"%lld\n"
	.text
	.globl	main
	.type	main, @function
main:
.LFB8:
	.cfi_startproc
	endbr64
	pushq	%rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	movq	%rsp, %rbp
	.cfi_def_cfa_register 6
	pushq	%rbx
	subq	$24, %rsp
	.cfi_offset 3, -24
	leaq	k(%rip), %rax
	movq	%rax, %rdx
	leaq	n(%rip), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movl	$1, -28(%rbp)
	jmp	.L15
.L16:
	movl	-28(%rbp), %eax
	movslq	%eax, %rdx
	movl	n(%rip), %eax
	movl	k(%rip), %ecx
	subl	%ecx, %eax
	addl	$1, %eax
	cltq
	movq	%rdx, %rsi
	movq	%rax, %rdi
	call	COM
	movq	%rax, %rbx
	movl	-28(%rbp), %eax
	subl	$1, %eax
	movslq	%eax, %rdx
	movl	k(%rip), %eax
	subl	$1, %eax
	cltq
	movq	%rdx, %rsi
	movq	%rax, %rdi
	call	COM
	imulq	%rbx, %rax
	movl	$1000000007, %ecx
	cqto
	idivq	%rcx
	movq	%rdx, -24(%rbp)
	movq	-24(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC1(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	printf@PLT
	addl	$1, -28(%rbp)
.L15:
	movl	k(%rip), %eax
	cmpl	%eax, -28(%rbp)
	jle	.L16
	movl	$0, %eax
	movq	-8(%rbp), %rbx
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE8:
	.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
	.p2align 4
	.globl	power
	.type	power, @function
power:
.LFB51:
	.cfi_startproc
	endbr64
	movq	%rdi, %rcx
	movl	$1, %r8d
	movq	%rsi, %rdi
	testq	%rsi, %rsi
	je	.L1
	movabsq	$-8543223828751151131, %r9
	.p2align 4,,10
	.p2align 3
.L4:
	testb	$1, %dil
	je	.L3
	movq	%r8, %rsi
	imulq	%rcx, %rsi
	movq	%rsi, %rax
	imulq	%r9
	movq	%rsi, %rax
	sarq	$63, %rax
	leaq	(%rdx,%rsi), %r8
	sarq	$29, %r8
	subq	%rax, %r8
	imulq	$1000000007, %r8, %rax
	subq	%rax, %rsi
	movq	%rsi, %r8
.L3:
	imulq	%rcx, %rcx
	movq	%rcx, %rax
	movq	%rcx, %rsi
	mulq	%r9
	shrq	$29, %rdx
	imulq	$1000000007, %rdx, %rax
	subq	%rax, %rsi
	sarq	%rdi
	movq	%rsi, %rcx
	jne	.L4
.L1:
	movq	%r8, %rax
	ret
	.cfi_endproc
.LFE51:
	.size	power, .-power
	.p2align 4
	.globl	COM
	.type	COM, @function
COM:
.LFB52:
	.cfi_startproc
	endbr64
	xorl	%eax, %eax
	cmpq	%rsi, %rdi
	jl	.L26
	pushq	%r12
	.cfi_def_cfa_offset 16
	.cfi_offset 12, -16
	pushq	%rbp
	.cfi_def_cfa_offset 24
	.cfi_offset 6, -24
	movq	%rdi, %rbp
	orq	%rsi, %rdi
	pushq	%rbx
	.cfi_def_cfa_offset 32
	.cfi_offset 3, -32
	movq	%rsi, %rbx
	js	.L12
	movl	$1, %eax
	testq	%rsi, %rsi
	jle	.L12
	movabsq	$-8543223828751151131, %r11
	subq	%rsi, %rbp
	.p2align 4,,10
	.p2align 3
.L16:
	leaq	0(%rbp,%rbx), %rsi
	movl	$30, %r10d
	movl	$1, %r8d
	movl	$1000000005, %r9d
	imulq	%rax, %rsi
	movq	%rsi, %rax
	imulq	%r11
	movq	%rsi, %rax
	sarq	$63, %rax
	leaq	(%rdx,%rsi), %rcx
	sarq	$29, %rcx
	subq	%rax, %rcx
	imulq	$1000000007, %rcx, %rax
	movq	%rbx, %rcx
	subq	%rax, %rsi
	movq	%rsi, %r12
	.p2align 4,,10
	.p2align 3
.L15:
	testb	$1, %r9b
	je	.L14
	movq	%r8, %rsi
	imulq	%rcx, %rsi
	movq	%rsi, %rax
	mulq	%r11
	shrq	$29, %rdx
	imulq	$1000000007, %rdx, %rax
	subq	%rax, %rsi
	movq	%rsi, %r8
.L14:
	movq	%rcx, %rsi
	sarq	%r9
	imulq	%rcx, %rsi
	movq	%rsi, %rax
	mulq	%r11
	movq	%rdx, %rcx
	shrq	$29, %rcx
	imulq	$1000000007, %rcx, %rdi
	subq	%rdi, %rsi
	movq	%rsi, %rcx
	subl	$1, %r10d
	jne	.L15
	movq	%r12, %rcx
	imulq	%r8, %rcx
	movq	%rcx, %rax
	imulq	%r11
	leaq	(%rdx,%rcx), %rax
	movq	%rcx, %rdx
	sarq	$63, %rdx
	sarq	$29, %rax
	subq	%rdx, %rax
	imulq	$1000000007, %rax, %rdx
	movq	%rcx, %rax
	subq	%rdx, %rax
	subq	$1, %rbx
	jne	.L16
.L12:
	popq	%rbx
	.cfi_def_cfa_offset 24
	popq	%rbp
	.cfi_def_cfa_offset 16
	popq	%r12
	.cfi_def_cfa_offset 8
	ret
	.p2align 4,,10
	.p2align 3
.L26:
	.cfi_restore 3
	.cfi_restore 6
	.cfi_restore 12
	ret
	.cfi_endproc
.LFE52:
	.size	COM, .-COM
	.section	.rodata.str1.1,"aMS",@progbits,1
.LC0:
	.string	"%d%d"
.LC1:
	.string	"%lld\n"
	.section	.text.startup,"ax",@progbits
	.p2align 4
	.globl	main
	.type	main, @function
main:
.LFB53:
	.cfi_startproc
	endbr64
	pushq	%r15
	.cfi_def_cfa_offset 16
	.cfi_offset 15, -16
	leaq	k(%rip), %rdx
	leaq	n(%rip), %rsi
	xorl	%eax, %eax
	pushq	%r14
	.cfi_def_cfa_offset 24
	.cfi_offset 14, -24
	leaq	.LC0(%rip), %rdi
	pushq	%r13
	.cfi_def_cfa_offset 32
	.cfi_offset 13, -32
	pushq	%r12
	.cfi_def_cfa_offset 40
	.cfi_offset 12, -40
	pushq	%rbp
	.cfi_def_cfa_offset 48
	.cfi_offset 6, -48
	pushq	%rbx
	.cfi_def_cfa_offset 56
	.cfi_offset 3, -56
	subq	$8, %rsp
	.cfi_def_cfa_offset 64
	call	__isoc99_scanf@PLT
	movslq	k(%rip), %r15
	testl	%r15d, %r15d
	jle	.L58
	movl	$1, %r12d
	xorl	%r13d, %r13d
	leaq	.LC1(%rip), %rbp
	movabsq	$-8543223828751151131, %rbx
	.p2align 4,,10
	.p2align 3
.L30:
	movl	n(%rip), %r14d
	xorl	%r11d, %r11d
	subl	%r15d, %r14d
	addl	$1, %r14d
	movslq	%r14d, %r14
	cmpq	%r12, %r14
	jl	.L31
	xorl	%r10d, %r10d
	movl	$1, %r11d
	.p2align 4,,10
	.p2align 3
.L34:
	movq	%r14, %rcx
	movl	$30, %r8d
	movl	$1, %esi
	movl	$1000000005, %edi
	subq	%r10, %rcx
	imulq	%r11, %rcx
	movq	%rcx, %rax
	imulq	%rbx
	movq	%rcx, %rax
	sarq	$63, %rax
	leaq	(%rdx,%rcx), %r11
	sarq	$29, %r11
	subq	%rax, %r11
	imulq	$1000000007, %r11, %rax
	subq	%rax, %rcx
	movq	%rcx, %r11
	movq	%r12, %rcx
	subq	%r10, %rcx
	.p2align 4,,10
	.p2align 3
.L33:
	testb	$1, %dil
	je	.L32
	imulq	%rcx, %rsi
	movq	%rsi, %rax
	movq	%rsi, %r9
	imulq	%rbx
	movq	%r9, %rax
	sarq	$63, %rax
	leaq	(%rdx,%rsi), %rsi
	sarq	$29, %rsi
	subq	%rax, %rsi
	imulq	$1000000007, %rsi, %rax
	movq	%r9, %rsi
	subq	%rax, %rsi
.L32:
	imulq	%rcx, %rcx
	sarq	%rdi
	movq	%rcx, %rax
	mulq	%rbx
	shrq	$29, %rdx
	imulq	$1000000007, %rdx, %rax
	subq	%rax, %rcx
	subl	$1, %r8d
	jne	.L33
	imulq	%r11, %rsi
	addq	$1, %r10
	movq	%rsi, %rax
	imulq	%rbx
	movq	%rsi, %rax
	sarq	$63, %rax
	leaq	(%rdx,%rsi), %r11
	sarq	$29, %r11
	subq	%rax, %r11
	imulq	$1000000007, %r11, %rax
	subq	%rax, %rsi
	movq	%rsi, %r11
	cmpq	%r10, %r12
	jg	.L34
.L31:
	leal	-1(%r15), %eax
	cltq
	cmpq	%r13, %rax
	jl	.L42
	testq	%r13, %r13
	je	.L35
	movq	%r13, %r14
	movl	$1, %ecx
	subq	%r12, %r15
	.p2align 4,,10
	.p2align 3
.L38:
	leaq	(%r15,%r14), %rax
	movl	$30, %r8d
	movl	$1, %esi
	movl	$1000000005, %edi
	imulq	%rax, %rcx
	movq	%rcx, %rax
	imulq	%rbx
	movq	%rcx, %rax
	sarq	$63, %rax
	leaq	(%rdx,%rcx), %r10
	sarq	$29, %r10
	subq	%rax, %r10
	imulq	$1000000007, %r10, %rax
	subq	%rax, %rcx
	movq	%rcx, %r10
	movq	%r14, %rcx
	.p2align 4,,10
	.p2align 3
.L37:
	testb	$1, %dil
	je	.L36
	imulq	%rcx, %rsi
	movq	%rsi, %rax
	movq	%rsi, %r9
	imulq	%rbx
	movq	%r9, %rax
	sarq	$63, %rax
	leaq	(%rdx,%rsi), %rsi
	sarq	$29, %rsi
	subq	%rax, %rsi
	imulq	$1000000007, %rsi, %rax
	movq	%r9, %rsi
	subq	%rax, %rsi
.L36:
	imulq	%rcx, %rcx
	sarq	%rdi
	movq	%rcx, %rax
	mulq	%rbx
	shrq	$29, %rdx
	imulq	$1000000007, %rdx, %rax
	subq	%rax, %rcx
	subl	$1, %r8d
	jne	.L37
	imulq	%rsi, %r10
	movq	%r10, %rax
	imulq	%rbx
	movq	%r10, %rax
	sarq	$63, %rax
	leaq	(%rdx,%r10), %rcx
	sarq	$29, %rcx
	subq	%rax, %rcx
	imulq	$1000000007, %rcx, %rax
	movq	%r10, %rcx
	subq	%rax, %rcx
	subq	$1, %r14
	jne	.L38
	imulq	%r11, %rcx
	movq	%rcx, %rax
	imulq	%rbx
	movq	%rcx, %rax
	sarq	$63, %rax
	leaq	(%rdx,%rcx), %r11
	sarq	$29, %r11
	subq	%rax, %r11
	imulq	$1000000007, %r11, %rax
	subq	%rax, %rcx
	movq	%rcx, %r11
.L35:
	movq	%r11, %rdx
	movq	%rbp, %rsi
	movl	$1, %edi
	xorl	%eax, %eax
	call	__printf_chk@PLT
	movslq	k(%rip), %r15
	addq	$1, %r12
	addq	$1, %r13
	cmpl	%r12d, %r15d
	jge	.L30
.L58:
	addq	$8, %rsp
	.cfi_remember_state
	.cfi_def_cfa_offset 56
	xorl	%eax, %eax
	popq	%rbx
	.cfi_def_cfa_offset 48
	popq	%rbp
	.cfi_def_cfa_offset 40
	popq	%r12
	.cfi_def_cfa_offset 32
	popq	%r13
	.cfi_def_cfa_offset 24
	popq	%r14
	.cfi_def_cfa_offset 16
	popq	%r15
	.cfi_def_cfa_offset 8
	ret
.L42:
	.cfi_restore_state
	xorl	%r11d, %r11d
	jmp	.L35
	.cfi_endproc
.LFE53:
	.size	main, .-main
	.globl	k
	.bss
	.align 4
	.type	k, @object
	.size	k, 4
k:
	.zero	4
	.globl	n
	.align 4
	.type	n, @object
	.size	n, 4
n:
	.zero	4
	.globl	mod
	.section	.rodata
	.align 8
	.type	mod, @object
	.size	mod, 8
mod:
	.quad	1000000007
	.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
	.p2align 4
	.globl	power
	.type	power, @function
power:
.LFB51:
	.cfi_startproc
	endbr64
	movq	%rdi, %rcx
	movl	$1, %r8d
	movq	%rsi, %rdi
	testq	%rsi, %rsi
	je	.L1
	movabsq	$-8543223828751151131, %r9
	.p2align 4,,10
	.p2align 3
.L4:
	testb	$1, %dil
	je	.L3
	movq	%r8, %rsi
	imulq	%rcx, %rsi
	movq	%rsi, %rax
	imulq	%r9
	movq	%rsi, %rax
	sarq	$63, %rax
	leaq	(%rdx,%rsi), %r8
	sarq	$29, %r8
	subq	%rax, %r8
	imulq	$1000000007, %r8, %rax
	subq	%rax, %rsi
	movq	%rsi, %r8
.L3:
	imulq	%rcx, %rcx
	movq	%rcx, %rax
	movq	%rcx, %rsi
	mulq	%r9
	shrq	$29, %rdx
	imulq	$1000000007, %rdx, %rax
	subq	%rax, %rsi
	sarq	%rdi
	movq	%rsi, %rcx
	jne	.L4
.L1:
	movq	%r8, %rax
	ret
	.cfi_endproc
.LFE51:
	.size	power, .-power
	.p2align 4
	.globl	COM
	.type	COM, @function
COM:
.LFB52:
	.cfi_startproc
	endbr64
	xorl	%eax, %eax
	cmpq	%rsi, %rdi
	jl	.L26
	pushq	%r12
	.cfi_def_cfa_offset 16
	.cfi_offset 12, -16
	pushq	%rbp
	.cfi_def_cfa_offset 24
	.cfi_offset 6, -24
	movq	%rdi, %rbp
	orq	%rsi, %rdi
	pushq	%rbx
	.cfi_def_cfa_offset 32
	.cfi_offset 3, -32
	movq	%rsi, %rbx
	js	.L12
	movl	$1, %eax
	testq	%rsi, %rsi
	jle	.L12
	movabsq	$-8543223828751151131, %r11
	subq	%rsi, %rbp
	.p2align 4,,10
	.p2align 3
.L16:
	leaq	0(%rbp,%rbx), %rsi
	movl	$30, %r10d
	movl	$1, %r8d
	movl	$1000000005, %r9d
	imulq	%rax, %rsi
	movq	%rsi, %rax
	imulq	%r11
	movq	%rsi, %rax
	sarq	$63, %rax
	leaq	(%rdx,%rsi), %rcx
	sarq	$29, %rcx
	subq	%rax, %rcx
	imulq	$1000000007, %rcx, %rax
	movq	%rbx, %rcx
	subq	%rax, %rsi
	movq	%rsi, %r12
	.p2align 4,,10
	.p2align 3
.L15:
	testb	$1, %r9b
	je	.L14
	movq	%r8, %rsi
	imulq	%rcx, %rsi
	movq	%rsi, %rax
	mulq	%r11
	shrq	$29, %rdx
	imulq	$1000000007, %rdx, %rax
	subq	%rax, %rsi
	movq	%rsi, %r8
.L14:
	movq	%rcx, %rsi
	sarq	%r9
	imulq	%rcx, %rsi
	movq	%rsi, %rax
	mulq	%r11
	movq	%rdx, %rcx
	shrq	$29, %rcx
	imulq	$1000000007, %rcx, %rdi
	subq	%rdi, %rsi
	movq	%rsi, %rcx
	subl	$1, %r10d
	jne	.L15
	movq	%r12, %rcx
	imulq	%r8, %rcx
	movq	%rcx, %rax
	imulq	%r11
	leaq	(%rdx,%rcx), %rax
	movq	%rcx, %rdx
	sarq	$63, %rdx
	sarq	$29, %rax
	subq	%rdx, %rax
	imulq	$1000000007, %rax, %rdx
	movq	%rcx, %rax
	subq	%rdx, %rax
	subq	$1, %rbx
	jne	.L16
.L12:
	popq	%rbx
	.cfi_def_cfa_offset 24
	popq	%rbp
	.cfi_def_cfa_offset 16
	popq	%r12
	.cfi_def_cfa_offset 8
	ret
	.p2align 4,,10
	.p2align 3
.L26:
	.cfi_restore 3
	.cfi_restore 6
	.cfi_restore 12
	ret
	.cfi_endproc
.LFE52:
	.size	COM, .-COM
	.section	.rodata.str1.1,"aMS",@progbits,1
.LC0:
	.string	"%d%d"
.LC1:
	.string	"%lld\n"
	.section	.text.startup,"ax",@progbits
	.p2align 4
	.globl	main
	.type	main, @function
main:
.LFB53:
	.cfi_startproc
	endbr64
	pushq	%r15
	.cfi_def_cfa_offset 16
	.cfi_offset 15, -16
	leaq	k(%rip), %rdx
	leaq	n(%rip), %rsi
	xorl	%eax, %eax
	pushq	%r14
	.cfi_def_cfa_offset 24
	.cfi_offset 14, -24
	leaq	.LC0(%rip), %rdi
	pushq	%r13
	.cfi_def_cfa_offset 32
	.cfi_offset 13, -32
	pushq	%r12
	.cfi_def_cfa_offset 40
	.cfi_offset 12, -40
	pushq	%rbp
	.cfi_def_cfa_offset 48
	.cfi_offset 6, -48
	pushq	%rbx
	.cfi_def_cfa_offset 56
	.cfi_offset 3, -56
	subq	$8, %rsp
	.cfi_def_cfa_offset 64
	call	__isoc99_scanf@PLT
	movslq	k(%rip), %r15
	testl	%r15d, %r15d
	jle	.L58
	movl	$1, %r12d
	xorl	%r13d, %r13d
	leaq	.LC1(%rip), %rbp
	movabsq	$-8543223828751151131, %rbx
	.p2align 4,,10
	.p2align 3
.L30:
	movl	n(%rip), %r14d
	xorl	%r11d, %r11d
	subl	%r15d, %r14d
	addl	$1, %r14d
	movslq	%r14d, %r14
	cmpq	%r12, %r14
	jl	.L31
	xorl	%r10d, %r10d
	movl	$1, %r11d
	.p2align 4,,10
	.p2align 3
.L34:
	movq	%r14, %rcx
	movl	$30, %r8d
	movl	$1, %esi
	movl	$1000000005, %edi
	subq	%r10, %rcx
	imulq	%r11, %rcx
	movq	%rcx, %rax
	imulq	%rbx
	movq	%rcx, %rax
	sarq	$63, %rax
	leaq	(%rdx,%rcx), %r11
	sarq	$29, %r11
	subq	%rax, %r11
	imulq	$1000000007, %r11, %rax
	subq	%rax, %rcx
	movq	%rcx, %r11
	movq	%r12, %rcx
	subq	%r10, %rcx
	.p2align 4,,10
	.p2align 3
.L33:
	testb	$1, %dil
	je	.L32
	imulq	%rcx, %rsi
	movq	%rsi, %rax
	movq	%rsi, %r9
	imulq	%rbx
	movq	%r9, %rax
	sarq	$63, %rax
	leaq	(%rdx,%rsi), %rsi
	sarq	$29, %rsi
	subq	%rax, %rsi
	imulq	$1000000007, %rsi, %rax
	movq	%r9, %rsi
	subq	%rax, %rsi
.L32:
	imulq	%rcx, %rcx
	sarq	%rdi
	movq	%rcx, %rax
	mulq	%rbx
	shrq	$29, %rdx
	imulq	$1000000007, %rdx, %rax
	subq	%rax, %rcx
	subl	$1, %r8d
	jne	.L33
	imulq	%r11, %rsi
	addq	$1, %r10
	movq	%rsi, %rax
	imulq	%rbx
	movq	%rsi, %rax
	sarq	$63, %rax
	leaq	(%rdx,%rsi), %r11
	sarq	$29, %r11
	subq	%rax, %r11
	imulq	$1000000007, %r11, %rax
	subq	%rax, %rsi
	movq	%rsi, %r11
	cmpq	%r10, %r12
	jg	.L34
.L31:
	leal	-1(%r15), %eax
	cltq
	cmpq	%r13, %rax
	jl	.L42
	testq	%r13, %r13
	je	.L35
	movq	%r13, %r14
	movl	$1, %ecx
	subq	%r12, %r15
	.p2align 4,,10
	.p2align 3
.L38:
	leaq	(%r15,%r14), %rax
	movl	$30, %r8d
	movl	$1, %esi
	movl	$1000000005, %edi
	imulq	%rax, %rcx
	movq	%rcx, %rax
	imulq	%rbx
	movq	%rcx, %rax
	sarq	$63, %rax
	leaq	(%rdx,%rcx), %r10
	sarq	$29, %r10
	subq	%rax, %r10
	imulq	$1000000007, %r10, %rax
	subq	%rax, %rcx
	movq	%rcx, %r10
	movq	%r14, %rcx
	.p2align 4,,10
	.p2align 3
.L37:
	testb	$1, %dil
	je	.L36
	imulq	%rcx, %rsi
	movq	%rsi, %rax
	movq	%rsi, %r9
	imulq	%rbx
	movq	%r9, %rax
	sarq	$63, %rax
	leaq	(%rdx,%rsi), %rsi
	sarq	$29, %rsi
	subq	%rax, %rsi
	imulq	$1000000007, %rsi, %rax
	movq	%r9, %rsi
	subq	%rax, %rsi
.L36:
	imulq	%rcx, %rcx
	sarq	%rdi
	movq	%rcx, %rax
	mulq	%rbx
	shrq	$29, %rdx
	imulq	$1000000007, %rdx, %rax
	subq	%rax, %rcx
	subl	$1, %r8d
	jne	.L37
	imulq	%rsi, %r10
	movq	%r10, %rax
	imulq	%rbx
	movq	%r10, %rax
	sarq	$63, %rax
	leaq	(%rdx,%r10), %rcx
	sarq	$29, %rcx
	subq	%rax, %rcx
	imulq	$1000000007, %rcx, %rax
	movq	%r10, %rcx
	subq	%rax, %rcx
	subq	$1, %r14
	jne	.L38
	imulq	%r11, %rcx
	movq	%rcx, %rax
	imulq	%rbx
	movq	%rcx, %rax
	sarq	$63, %rax
	leaq	(%rdx,%rcx), %r11
	sarq	$29, %r11
	subq	%rax, %r11
	imulq	$1000000007, %r11, %rax
	subq	%rax, %rcx
	movq	%rcx, %r11
.L35:
	movq	%r11, %rdx
	movq	%rbp, %rsi
	movl	$1, %edi
	xorl	%eax, %eax
	call	__printf_chk@PLT
	movslq	k(%rip), %r15
	addq	$1, %r12
	addq	$1, %r13
	cmpl	%r12d, %r15d
	jge	.L30
.L58:
	addq	$8, %rsp
	.cfi_remember_state
	.cfi_def_cfa_offset 56
	xorl	%eax, %eax
	popq	%rbx
	.cfi_def_cfa_offset 48
	popq	%rbp
	.cfi_def_cfa_offset 40
	popq	%r12
	.cfi_def_cfa_offset 32
	popq	%r13
	.cfi_def_cfa_offset 24
	popq	%r14
	.cfi_def_cfa_offset 16
	popq	%r15
	.cfi_def_cfa_offset 8
	ret
.L42:
	.cfi_restore_state
	xorl	%r11d, %r11d
	jmp	.L35
	.cfi_endproc
.LFE53:
	.size	main, .-main
	.globl	k
	.bss
	.align 4
	.type	k, @object
	.size	k, 4
k:
	.zero	4
	.globl	n
	.align 4
	.type	n, @object
	.size	n, 4
n:
	.zero	4
	.globl	mod
	.section	.rodata
	.align 8
	.type	mod, @object
	.size	mod, 8
mod:
	.quad	1000000007
	.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<stdlib.h>
#include<string.h>
#include<stdint.h>
#include<tgmath.h>
#include<stdbool.h>
#include<sys/queue.h>
#include<time.h>
#define ll long long
#define min(a, b) ((a) > (b) ? (b) : (a))
#define max(a, b) ((a) > (b) ? (a) : (b))

const ll mod = 1000000007ll;
ll power(ll x, ll y){
    if(y == 0ll)return 1ll;
    ll res = 1ll, tmp = x;
    while(y){
        if(y&1){
            res *= tmp;
            res %= mod;
        }
        tmp *= tmp;
        tmp %= mod;
        y >>= 1;
    }
    return res;
}

ll COM(ll x, ll y){
    if(x < y) return 0ll;
    if(x < 0 || y < 0) return 0ll;
    ll res = 1;
    for(int i=0; i<y; i++){
        res *= x - i;
        res %= mod;
        res *= power(y-i, mod-2);
        res %= mod;
    }
    return res;
}

int n, k;
main(){
    scanf("%d%d", &n, &k);
    for(int i=1; i<=k; i++){
        ll ans = COM(n-k+1, i) * COM(k-1, i-1) % mod;
        printf("%lld\n", ans);       
    }
    return 0;
}
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>
#include<stdlib.h>
#include<string.h>
#include<stdint.h>
#include<tgmath.h>
#include<stdbool.h>
#include<sys/queue.h>
#include<time.h>
#define ll long long
#define min(a, b) ((a) > (b) ? (b) : (a))
#define max(a, b) ((a) > (b) ? (a) : (b))

const ll mod = 1000000007ll;
ll power(ll x, ll y){
    if(y == 0ll)return 1ll;
    ll res = 1ll, tmp = x;
    while(y){
        if(y&1){
            res *= tmp;
            res %= mod;
        }
        tmp *= tmp;
        tmp %= mod;
        y >>= 1;
    }
    return res;
}

ll COM(ll x, ll y){
    if(x < y) return 0ll;
    if(x < 0 || y < 0) return 0ll;
    ll res = 1;
    for(int i=0; i<y; i++){
        res *= x - i;
        res %= mod;
        res *= power(y-i, mod-2);
        res %= mod;
    }
    return res;
}

int n, k;
main(){
    scanf("%d%d", &n, &k);
    for(int i=1; i<=k; i++){
        ll ans = COM(n-k+1, i) * COM(k-1, i-1) % mod;
        printf("%lld\n", ans);       
    }
    return 0;
}```

Unoptimized Assembly Code:

```assembly
	.file	"temp.c"
	.text
	.globl	mod
	.section	.rodata
	.align 8
	.type	mod, @object
	.size	mod, 8
mod:
	.quad	1000000007
	.text
	.globl	power
	.type	power, @function
power:
.LFB6:
	.cfi_startproc
	endbr64
	pushq	%rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	movq	%rsp, %rbp
	.cfi_def_cfa_register 6
	movq	%rdi, -24(%rbp)
	movq	%rsi, -32(%rbp)
	cmpq	$0, -32(%rbp)
	jne	.L2
	movl	$1, %eax
	jmp	.L3
.L2:
	movq	$1, -16(%rbp)
	movq	-24(%rbp), %rax
	movq	%rax, -8(%rbp)
	jmp	.L4
.L6:
	movq	-32(%rbp), %rax
	andl	$1, %eax
	testq	%rax, %rax
	je	.L5
	movq	-16(%rbp), %rax
	imulq	-8(%rbp), %rax
	movq	%rax, -16(%rbp)
	movl	$1000000007, %ecx
	movq	-16(%rbp), %rax
	cqto
	idivq	%rcx
	movq	%rdx, -16(%rbp)
.L5:
	movq	-8(%rbp), %rax
	imulq	%rax, %rax
	movq	%rax, -8(%rbp)
	movl	$1000000007, %ecx
	movq	-8(%rbp), %rax
	cqto
	idivq	%rcx
	movq	%rdx, -8(%rbp)
	sarq	-32(%rbp)
.L4:
	cmpq	$0, -32(%rbp)
	jne	.L6
	movq	-16(%rbp), %rax
.L3:
	popq	%rbp
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE6:
	.size	power, .-power
	.globl	COM
	.type	COM, @function
COM:
.LFB7:
	.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	%rdi, -24(%rbp)
	movq	%rsi, -32(%rbp)
	movq	-24(%rbp), %rax
	cmpq	-32(%rbp), %rax
	jge	.L8
	movl	$0, %eax
	jmp	.L9
.L8:
	cmpq	$0, -24(%rbp)
	js	.L10
	cmpq	$0, -32(%rbp)
	jns	.L11
.L10:
	movl	$0, %eax
	jmp	.L9
.L11:
	movq	$1, -8(%rbp)
	movl	$0, -12(%rbp)
	jmp	.L12
.L13:
	movl	-12(%rbp), %eax
	movslq	%eax, %rcx
	movq	-24(%rbp), %rax
	subq	%rcx, %rax
	movq	%rax, %rdx
	movq	-8(%rbp), %rax
	imulq	%rdx, %rax
	movq	%rax, -8(%rbp)
	movl	$1000000007, %ecx
	movq	-8(%rbp), %rax
	cqto
	idivq	%rcx
	movq	%rdx, -8(%rbp)
	movl	$1000000007, %eax
	leaq	-2(%rax), %rdx
	movl	-12(%rbp), %eax
	movslq	%eax, %rcx
	movq	-32(%rbp), %rax
	subq	%rcx, %rax
	movq	%rdx, %rsi
	movq	%rax, %rdi
	call	power
	movq	-8(%rbp), %rdx
	imulq	%rdx, %rax
	movq	%rax, -8(%rbp)
	movl	$1000000007, %ecx
	movq	-8(%rbp), %rax
	cqto
	idivq	%rcx
	movq	%rdx, -8(%rbp)
	addl	$1, -12(%rbp)
.L12:
	movl	-12(%rbp), %eax
	cltq
	cmpq	%rax, -32(%rbp)
	jg	.L13
	movq	-8(%rbp), %rax
.L9:
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE7:
	.size	COM, .-COM
	.globl	n
	.bss
	.align 4
	.type	n, @object
	.size	n, 4
n:
	.zero	4
	.globl	k
	.align 4
	.type	k, @object
	.size	k, 4
k:
	.zero	4
	.section	.rodata
.LC0:
	.string	"%d%d"
.LC1:
	.string	"%lld\n"
	.text
	.globl	main
	.type	main, @function
main:
.LFB8:
	.cfi_startproc
	endbr64
	pushq	%rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	movq	%rsp, %rbp
	.cfi_def_cfa_register 6
	pushq	%rbx
	subq	$24, %rsp
	.cfi_offset 3, -24
	leaq	k(%rip), %rax
	movq	%rax, %rdx
	leaq	n(%rip), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movl	$1, -28(%rbp)
	jmp	.L15
.L16:
	movl	-28(%rbp), %eax
	movslq	%eax, %rdx
	movl	n(%rip), %eax
	movl	k(%rip), %ecx
	subl	%ecx, %eax
	addl	$1, %eax
	cltq
	movq	%rdx, %rsi
	movq	%rax, %rdi
	call	COM
	movq	%rax, %rbx
	movl	-28(%rbp), %eax
	subl	$1, %eax
	movslq	%eax, %rdx
	movl	k(%rip), %eax
	subl	$1, %eax
	cltq
	movq	%rdx, %rsi
	movq	%rax, %rdi
	call	COM
	imulq	%rbx, %rax
	movl	$1000000007, %ecx
	cqto
	idivq	%rcx
	movq	%rdx, -24(%rbp)
	movq	-24(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC1(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	printf@PLT
	addl	$1, -28(%rbp)
.L15:
	movl	k(%rip), %eax
	cmpl	%eax, -28(%rbp)
	jle	.L16
	movl	$0, %eax
	movq	-8(%rbp), %rbx
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE8:
	.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	mod
	.section	.rodata
	.align 8
	.type	mod, @object
	.size	mod, 8
mod:
	.quad	1000000007
	.text
	.globl	power
	.type	power, @function
power:
.LFB6:
	.cfi_startproc
	endbr64
	pushq	%rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	movq	%rsp, %rbp
	.cfi_def_cfa_register 6
	movq	%rdi, -24(%rbp)
	movq	%rsi, -32(%rbp)
	cmpq	$0, -32(%rbp)
	jne	.L2
	movl	$1, %eax
	jmp	.L3
.L2:
	movq	$1, -16(%rbp)
	movq	-24(%rbp), %rax
	movq	%rax, -8(%rbp)
	jmp	.L4
.L6:
	movq	-32(%rbp), %rax
	andl	$1, %eax
	testq	%rax, %rax
	je	.L5
	movq	-16(%rbp), %rax
	imulq	-8(%rbp), %rax
	movq	%rax, -16(%rbp)
	movl	$1000000007, %ecx
	movq	-16(%rbp), %rax
	cqto
	idivq	%rcx
	movq	%rdx, -16(%rbp)
.L5:
	movq	-8(%rbp), %rax
	imulq	%rax, %rax
	movq	%rax, -8(%rbp)
	movl	$1000000007, %ecx
	movq	-8(%rbp), %rax
	cqto
	idivq	%rcx
	movq	%rdx, -8(%rbp)
	sarq	-32(%rbp)
.L4:
	cmpq	$0, -32(%rbp)
	jne	.L6
	movq	-16(%rbp), %rax
.L3:
	popq	%rbp
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE6:
	.size	power, .-power
	.globl	COM
	.type	COM, @function
COM:
.LFB7:
	.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	%rdi, -24(%rbp)
	movq	%rsi, -32(%rbp)
	movq	-24(%rbp), %rax
	cmpq	-32(%rbp), %rax
	jge	.L8
	movl	$0, %eax
	jmp	.L9
.L8:
	cmpq	$0, -24(%rbp)
	js	.L10
	cmpq	$0, -32(%rbp)
	jns	.L11
.L10:
	movl	$0, %eax
	jmp	.L9
.L11:
	movq	$1, -8(%rbp)
	movl	$0, -12(%rbp)
	jmp	.L12
.L13:
	movl	-12(%rbp), %eax
	movslq	%eax, %rcx
	movq	-24(%rbp), %rax
	subq	%rcx, %rax
	movq	%rax, %rdx
	movq	-8(%rbp), %rax
	imulq	%rdx, %rax
	movq	%rax, -8(%rbp)
	movl	$1000000007, %ecx
	movq	-8(%rbp), %rax
	cqto
	idivq	%rcx
	movq	%rdx, -8(%rbp)
	movl	$1000000007, %eax
	leaq	-2(%rax), %rdx
	movl	-12(%rbp), %eax
	movslq	%eax, %rcx
	movq	-32(%rbp), %rax
	subq	%rcx, %rax
	movq	%rdx, %rsi
	movq	%rax, %rdi
	call	power
	movq	-8(%rbp), %rdx
	imulq	%rdx, %rax
	movq	%rax, -8(%rbp)
	movl	$1000000007, %ecx
	movq	-8(%rbp), %rax
	cqto
	idivq	%rcx
	movq	%rdx, -8(%rbp)
	addl	$1, -12(%rbp)
.L12:
	movl	-12(%rbp), %eax
	cltq
	cmpq	%rax, -32(%rbp)
	jg	.L13
	movq	-8(%rbp), %rax
.L9:
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE7:
	.size	COM, .-COM
	.globl	n
	.bss
	.align 4
	.type	n, @object
	.size	n, 4
n:
	.zero	4
	.globl	k
	.align 4
	.type	k, @object
	.size	k, 4
k:
	.zero	4
	.section	.rodata
.LC0:
	.string	"%d%d"
.LC1:
	.string	"%lld\n"
	.text
	.globl	main
	.type	main, @function
main:
.LFB8:
	.cfi_startproc
	endbr64
	pushq	%rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	movq	%rsp, %rbp
	.cfi_def_cfa_register 6
	pushq	%rbx
	subq	$24, %rsp
	.cfi_offset 3, -24
	leaq	k(%rip), %rax
	movq	%rax, %rdx
	leaq	n(%rip), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movl	$1, -28(%rbp)
	jmp	.L15
.L16:
	movl	-28(%rbp), %eax
	movslq	%eax, %rdx
	movl	n(%rip), %eax
	movl	k(%rip), %ecx
	subl	%ecx, %eax
	addl	$1, %eax
	cltq
	movq	%rdx, %rsi
	movq	%rax, %rdi
	call	COM
	movq	%rax, %rbx
	movl	-28(%rbp), %eax
	subl	$1, %eax
	movslq	%eax, %rdx
	movl	k(%rip), %eax
	subl	$1, %eax
	cltq
	movq	%rdx, %rsi
	movq	%rax, %rdi
	call	COM
	imulq	%rbx, %rax
	movl	$1000000007, %ecx
	cqto
	idivq	%rcx
	movq	%rdx, -24(%rbp)
	movq	-24(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC1(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	printf@PLT
	addl	$1, -28(%rbp)
.L15:
	movl	k(%rip), %eax
	cmpl	%eax, -28(%rbp)
	jle	.L16
	movl	$0, %eax
	movq	-8(%rbp), %rbx
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE8:
	.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:
