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

```c
// AOJ DPL_5_D Balls and Boxes 4
// n 個の区別できないボールを k 個の区別できる箱に入れる
// とき、可能な入れ方の総数を求めてください。
// 答えは重複組み合わせ kHn = combi(k+n-1, n)
// 2019.3.11 bal4u

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

#define MOD 1000000007
int tbl[2001][1001];

int combi(int n, int k)
{
	int ans;

	if (tbl[n][k]) return tbl[n][k];
	if ((k << 1) > n) k = n - k;
	if (k == 0) ans = 1;
	else if (k == 1) ans = n;
	else ans = combi(n - 1, k) + combi(n - 1, k - 1);
	return tbl[n][k] = ans % MOD;
}

int main()
{
	int n, k;

	scanf("%d%d", &n, &k);
	printf("%d\n", combi(n + k - 1, n));
	return 0;
}
```

Unoptimized Assembly Code:

```assembly
	.file	"temp.c"
	.text
	.globl	tbl
	.bss
	.align 32
	.type	tbl, @object
	.size	tbl, 8012004
tbl:
	.zero	8012004
	.text
	.globl	combi
	.type	combi, @function
combi:
.LFB6:
	.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	$40, %rsp
	.cfi_offset 3, -24
	movl	%edi, -36(%rbp)
	movl	%esi, -40(%rbp)
	movl	-40(%rbp), %eax
	movslq	%eax, %rdx
	movl	-36(%rbp), %eax
	cltq
	imulq	$1001, %rax, %rax
	addq	%rdx, %rax
	leaq	0(,%rax,4), %rdx
	leaq	tbl(%rip), %rax
	movl	(%rdx,%rax), %eax
	testl	%eax, %eax
	je	.L2
	movl	-40(%rbp), %eax
	movslq	%eax, %rdx
	movl	-36(%rbp), %eax
	cltq
	imulq	$1001, %rax, %rax
	addq	%rdx, %rax
	leaq	0(,%rax,4), %rdx
	leaq	tbl(%rip), %rax
	movl	(%rdx,%rax), %eax
	jmp	.L3
.L2:
	movl	-40(%rbp), %eax
	addl	%eax, %eax
	cmpl	%eax, -36(%rbp)
	jge	.L4
	movl	-36(%rbp), %eax
	subl	-40(%rbp), %eax
	movl	%eax, -40(%rbp)
.L4:
	cmpl	$0, -40(%rbp)
	jne	.L5
	movl	$1, -20(%rbp)
	jmp	.L6
.L5:
	cmpl	$1, -40(%rbp)
	jne	.L7
	movl	-36(%rbp), %eax
	movl	%eax, -20(%rbp)
	jmp	.L6
.L7:
	movl	-36(%rbp), %eax
	leal	-1(%rax), %edx
	movl	-40(%rbp), %eax
	movl	%eax, %esi
	movl	%edx, %edi
	call	combi
	movl	%eax, %ebx
	movl	-40(%rbp), %eax
	leal	-1(%rax), %edx
	movl	-36(%rbp), %eax
	subl	$1, %eax
	movl	%edx, %esi
	movl	%eax, %edi
	call	combi
	addl	%ebx, %eax
	movl	%eax, -20(%rbp)
.L6:
	movl	-20(%rbp), %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	-40(%rbp), %edx
	movslq	%edx, %rcx
	movl	-36(%rbp), %edx
	movslq	%edx, %rdx
	imulq	$1001, %rdx, %rdx
	addq	%rcx, %rdx
	leaq	0(,%rdx,4), %rcx
	leaq	tbl(%rip), %rdx
	movl	%eax, (%rcx,%rdx)
	movl	-40(%rbp), %eax
	movslq	%eax, %rdx
	movl	-36(%rbp), %eax
	cltq
	imulq	$1001, %rax, %rax
	addq	%rdx, %rax
	leaq	0(,%rax,4), %rdx
	leaq	tbl(%rip), %rax
	movl	(%rdx,%rax), %eax
.L3:
	movq	-8(%rbp), %rbx
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE6:
	.size	combi, .-combi
	.section	.rodata
.LC0:
	.string	"%d%d"
.LC1:
	.string	"%d\n"
	.text
	.globl	main
	.type	main, @function
main:
.LFB7:
	.cfi_startproc
	endbr64
	pushq	%rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	movq	%rsp, %rbp
	.cfi_def_cfa_register 6
	subq	$16, %rsp
	movq	%fs:40, %rax
	movq	%rax, -8(%rbp)
	xorl	%eax, %eax
	leaq	-12(%rbp), %rdx
	leaq	-16(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movl	-16(%rbp), %eax
	movl	-16(%rbp), %ecx
	movl	-12(%rbp), %edx
	addl	%ecx, %edx
	subl	$1, %edx
	movl	%eax, %esi
	movl	%edx, %edi
	call	combi
	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	.L10
	call	__stack_chk_fail@PLT
.L10:
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE7:
	.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
	.type	combi.part.0, @function
combi.part.0:
.LFB41:
	.cfi_startproc
	pushq	%r15
	.cfi_def_cfa_offset 16
	.cfi_offset 15, -16
	leal	(%rsi,%rsi), %edx
	movl	%edi, %eax
	pushq	%r14
	.cfi_def_cfa_offset 24
	.cfi_offset 14, -24
	subl	%esi, %eax
	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
	movl	%edi, %ebp
	pushq	%rbx
	.cfi_def_cfa_offset 56
	.cfi_offset 3, -56
	movl	%esi, %ebx
	subq	$40, %rsp
	.cfi_def_cfa_offset 96
	cmpl	%edi, %edx
	cmovg	%eax, %ebx
	testl	%ebx, %ebx
	je	.L16
	cmpl	$1, %ebx
	jne	.L4
	movslq	%edi, %rdx
	movl	%edi, %ecx
	leaq	tbl(%rip), %r12
	movl	$1, %r13d
	imulq	$1152921497, %rdx, %rax
	sarl	$31, %ecx
	sarq	$60, %rax
	subl	%ecx, %eax
	imull	$1000000007, %eax, %ecx
	movl	%edi, %eax
	subl	%ecx, %eax
	jmp	.L3
	.p2align 4,,10
	.p2align 3
.L16:
	movl	$1, %eax
	movslq	%edi, %rdx
	leaq	tbl(%rip), %r12
	xorl	%r13d, %r13d
.L3:
	imulq	$1001, %rdx, %rdx
	addq	%r13, %rdx
	movl	%eax, (%r12,%rdx,4)
	addq	$40, %rsp
	.cfi_remember_state
	.cfi_def_cfa_offset 56
	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
	.p2align 4,,10
	.p2align 3
.L4:
	.cfi_restore_state
	leal	-1(%rdi), %edx
	movslq	%ebx, %r13
	leaq	tbl(%rip), %r12
	movslq	%edx, %r14
	imulq	$1001, %r14, %rax
	addq	%r13, %rax
	movl	(%r12,%rax,4), %r15d
	testl	%r15d, %r15d
	jne	.L5
	leal	(%rbx,%rbx), %eax
	cmpl	%eax, %edx
	jge	.L17
	movl	%edx, %r15d
	subl	%ebx, %r15d
	jne	.L24
	movl	$1, %r15d
	xorl	%ecx, %ecx
.L7:
	imulq	$1001, %r14, %rax
	addq	%rcx, %rax
	movl	%r15d, (%r12,%rax,4)
.L5:
	imulq	$1001, %r14, %rax
	leal	-1(%rbx), %esi
	movslq	%esi, %rcx
	addq	%rcx, %rax
	movl	(%r12,%rax,4), %eax
	testl	%eax, %eax
	jne	.L10
	leal	(%rsi,%rsi), %eax
	cmpl	%eax, %edx
	jge	.L11
	movl	%ebp, %esi
	subl	%ebx, %esi
	movslq	%esi, %rcx
.L11:
	movl	$1, %eax
	testl	%esi, %esi
	je	.L12
	cmpl	$1, %esi
	jne	.L13
	imulq	$1152921497, %r14, %rax
.L22:
	movl	%edx, %esi
	sarq	$60, %rax
	sarl	$31, %esi
	subl	%esi, %eax
	imull	$1000000007, %eax, %esi
	movl	%edx, %eax
	subl	%esi, %eax
.L12:
	imulq	$1001, %r14, %r14
	addq	%rcx, %r14
	movl	%eax, (%r12,%r14,4)
.L10:
	leal	(%rax,%r15), %edx
	movslq	%edx, %rax
	movl	%edx, %ecx
	imulq	$1152921497, %rax, %rax
	sarl	$31, %ecx
	sarq	$60, %rax
	subl	%ecx, %eax
	imull	$1000000007, %eax, %ecx
	movl	%edx, %eax
	movslq	%ebp, %rdx
	subl	%ecx, %eax
	jmp	.L3
	.p2align 4,,10
	.p2align 3
.L17:
	movl	%ebx, %r15d
.L6:
	leal	-2(%rbp), %edi
	movslq	%r15d, %rcx
	movslq	%edi, %r9
	imulq	$1001, %r9, %rax
	addq	%rcx, %rax
	movl	(%r12,%rax,4), %r8d
	testl	%r8d, %r8d
	jne	.L8
	movl	%r15d, %esi
	movq	%r9, 24(%rsp)
	movq	%rcx, 16(%rsp)
	movl	%edx, 12(%rsp)
	movl	%edi, (%rsp)
	call	combi.part.0
	movq	24(%rsp), %r9
	movq	16(%rsp), %rcx
	movl	12(%rsp), %edx
	movl	(%rsp), %edi
	movl	%eax, %r8d
.L8:
	imulq	$1001, %r9, %rax
	leal	-1(%r15), %esi
	movslq	%esi, %r10
	addq	%r10, %rax
	movl	(%r12,%rax,4), %eax
	testl	%eax, %eax
	jne	.L9
	movq	%rcx, 16(%rsp)
	movl	%r8d, 12(%rsp)
	movl	%edx, (%rsp)
	call	combi.part.0
	movq	16(%rsp), %rcx
	movl	12(%rsp), %r8d
	movl	(%rsp), %edx
.L9:
	addl	%r8d, %eax
	movslq	%eax, %r15
	movl	%eax, %esi
	imulq	$1152921497, %r15, %r15
	sarl	$31, %esi
	sarq	$60, %r15
	subl	%esi, %r15d
	imull	$1000000007, %r15d, %esi
	subl	%esi, %eax
	movl	%eax, %r15d
	jmp	.L7
	.p2align 4,,10
	.p2align 3
.L13:
	leal	-2(%rbp), %edi
	movslq	%edi, %rdx
	imulq	$1001, %rdx, %rax
	addq	%rcx, %rax
	movl	(%r12,%rax,4), %ebx
	testl	%ebx, %ebx
	jne	.L14
	movq	%rdx, 24(%rsp)
	movq	%rcx, 16(%rsp)
	movl	%esi, 12(%rsp)
	movl	%edi, (%rsp)
	call	combi.part.0
	movq	24(%rsp), %rdx
	movq	16(%rsp), %rcx
	movl	12(%rsp), %esi
	movl	(%rsp), %edi
	movl	%eax, %ebx
.L14:
	imulq	$1001, %rdx, %rax
	subl	$1, %esi
	movslq	%esi, %r8
	addq	%r8, %rax
	movl	(%r12,%rax,4), %eax
	testl	%eax, %eax
	jne	.L15
	movq	%rcx, (%rsp)
	call	combi.part.0
	movq	(%rsp), %rcx
.L15:
	leal	(%rax,%rbx), %edx
	movslq	%edx, %rax
	imulq	$1152921497, %rax, %rax
	jmp	.L22
.L24:
	cmpl	$1, %r15d
	jne	.L6
	imulq	$1152921497, %r14, %r15
	movl	%edx, %eax
	movl	$1, %ecx
	sarl	$31, %eax
	sarq	$60, %r15
	subl	%eax, %r15d
	imull	$1000000007, %r15d, %eax
	movl	%edx, %r15d
	subl	%eax, %r15d
	jmp	.L7
	.cfi_endproc
.LFE41:
	.size	combi.part.0, .-combi.part.0
	.p2align 4
	.globl	combi
	.type	combi, @function
combi:
.LFB39:
	.cfi_startproc
	endbr64
	pushq	%r15
	.cfi_def_cfa_offset 16
	.cfi_offset 15, -16
	pushq	%r14
	.cfi_def_cfa_offset 24
	.cfi_offset 14, -24
	pushq	%r13
	.cfi_def_cfa_offset 32
	.cfi_offset 13, -32
	pushq	%r12
	.cfi_def_cfa_offset 40
	.cfi_offset 12, -40
	movslq	%edi, %r12
	imulq	$1001, %r12, %rax
	pushq	%rbp
	.cfi_def_cfa_offset 48
	.cfi_offset 6, -48
	movslq	%esi, %rbp
	pushq	%rbx
	.cfi_def_cfa_offset 56
	.cfi_offset 3, -56
	leaq	tbl(%rip), %rbx
	addq	%rbp, %rax
	subq	$56, %rsp
	.cfi_def_cfa_offset 112
	movl	(%rbx,%rax,4), %eax
	testl	%eax, %eax
	jne	.L25
	leal	(%rbp,%rbp), %eax
	movq	%r12, %r13
	movq	%rbp, %r11
	cmpl	%eax, %r12d
	jge	.L27
	movl	%r12d, %eax
	subl	%ebp, %eax
	movslq	%eax, %rbp
	movq	%rbp, %r11
.L27:
	movl	$1, %eax
	testl	%r11d, %r11d
	jne	.L49
.L28:
	imulq	$1001, %r12, %rdx
	addq	%rbp, %rdx
	movl	%eax, (%rbx,%rdx,4)
.L25:
	addq	$56, %rsp
	.cfi_remember_state
	.cfi_def_cfa_offset 56
	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
	.p2align 4,,10
	.p2align 3
.L49:
	.cfi_restore_state
	cmpl	$1, %r11d
	jne	.L29
	imulq	$1152921497, %r12, %rax
	movl	%r13d, %edx
	sarl	$31, %edx
	sarq	$60, %rax
	subl	%edx, %eax
	imull	$1000000007, %eax, %edx
	movl	%r13d, %eax
	subl	%edx, %eax
	jmp	.L28
	.p2align 4,,10
	.p2align 3
.L29:
	leal	-1(%r13), %ecx
	movslq	%ecx, %r14
	imulq	$1001, %r14, %rax
	addq	%rbp, %rax
	movl	(%rbx,%rax,4), %r15d
	testl	%r15d, %r15d
	jne	.L30
	leal	(%r11,%r11), %eax
	cmpl	%eax, %ecx
	jge	.L42
	movl	%ecx, %esi
	subl	%r11d, %esi
	jne	.L50
	movl	$1, %r15d
	xorl	%edx, %edx
.L32:
	imulq	$1001, %r14, %rax
	addq	%rdx, %rax
	movl	%r15d, (%rbx,%rax,4)
.L30:
	imulq	$1001, %r14, %rax
	leal	-1(%r11), %esi
	movslq	%esi, %rdx
	addq	%rdx, %rax
	movl	(%rbx,%rax,4), %eax
	testl	%eax, %eax
	jne	.L35
	leal	(%rsi,%rsi), %eax
	cmpl	%eax, %ecx
	jge	.L36
	movl	%r13d, %esi
	subl	%r11d, %esi
	movslq	%esi, %rdx
.L36:
	movl	$1, %eax
	testl	%esi, %esi
	je	.L37
	cmpl	$1, %esi
	jne	.L38
	imulq	$1152921497, %r14, %rax
.L48:
	movl	%ecx, %esi
	sarq	$60, %rax
	sarl	$31, %esi
	subl	%esi, %eax
	imull	$1000000007, %eax, %esi
	movl	%ecx, %eax
	subl	%esi, %eax
.L37:
	imulq	$1001, %r14, %r14
	addq	%rdx, %r14
	movl	%eax, (%rbx,%r14,4)
.L35:
	leal	(%rax,%r15), %edx
	movslq	%edx, %rax
	movl	%edx, %ecx
	imulq	$1152921497, %rax, %rax
	sarl	$31, %ecx
	sarq	$60, %rax
	subl	%ecx, %eax
	imull	$1000000007, %eax, %ecx
	movl	%edx, %eax
	subl	%ecx, %eax
	jmp	.L28
	.p2align 4,,10
	.p2align 3
.L42:
	movl	%r11d, %esi
.L31:
	leal	-2(%r13), %edi
	movslq	%esi, %rdx
	movslq	%edi, %r8
	imulq	$1001, %r8, %rax
	addq	%rdx, %rax
	movl	(%rbx,%rax,4), %r15d
	testl	%r15d, %r15d
	jne	.L33
	movq	%r8, 40(%rsp)
	movq	%rdx, 32(%rsp)
	movl	%ecx, 24(%rsp)
	movl	%esi, 16(%rsp)
	movl	%edi, 8(%rsp)
	call	combi.part.0
	movq	40(%rsp), %r8
	movq	32(%rsp), %rdx
	movl	24(%rsp), %ecx
	movl	16(%rsp), %esi
	movl	%eax, %r15d
	movl	8(%rsp), %edi
.L33:
	imulq	$1001, %r8, %rax
	subl	$1, %esi
	movslq	%esi, %r9
	addq	%r9, %rax
	movl	(%rbx,%rax,4), %eax
	testl	%eax, %eax
	jne	.L34
	movq	%rdx, 16(%rsp)
	movl	%ecx, 8(%rsp)
	call	combi.part.0
	movq	16(%rsp), %rdx
	movl	8(%rsp), %ecx
.L34:
	addl	%r15d, %eax
	movslq	%eax, %r15
	movl	%eax, %esi
	imulq	$1152921497, %r15, %r15
	sarl	$31, %esi
	sarq	$60, %r15
	subl	%esi, %r15d
	imull	$1000000007, %r15d, %esi
	subl	%esi, %eax
	movl	%eax, %r15d
	jmp	.L32
	.p2align 4,,10
	.p2align 3
.L38:
	subl	$2, %r13d
	movslq	%r13d, %rcx
	imulq	$1001, %rcx, %rax
	addq	%rdx, %rax
	movl	(%rbx,%rax,4), %r11d
	testl	%r11d, %r11d
	jne	.L39
	movl	%r13d, %edi
	movq	%rcx, 24(%rsp)
	movq	%rdx, 16(%rsp)
	movl	%esi, 8(%rsp)
	call	combi.part.0
	movq	24(%rsp), %rcx
	movq	16(%rsp), %rdx
	movl	8(%rsp), %esi
	movl	%eax, %r11d
.L39:
	imulq	$1001, %rcx, %rax
	subl	$1, %esi
	movslq	%esi, %rdi
	addq	%rdi, %rax
	movl	(%rbx,%rax,4), %eax
	testl	%eax, %eax
	jne	.L40
	movl	%r13d, %edi
	movq	%rdx, 8(%rsp)
	call	combi.part.0
	movq	8(%rsp), %rdx
.L40:
	leal	(%rax,%r11), %ecx
	movslq	%ecx, %rax
	imulq	$1152921497, %rax, %rax
	jmp	.L48
.L50:
	cmpl	$1, %esi
	jne	.L31
	imulq	$1152921497, %r14, %r15
	movl	%ecx, %eax
	movl	$1, %edx
	sarl	$31, %eax
	sarq	$60, %r15
	subl	%eax, %r15d
	imull	$1000000007, %r15d, %eax
	movl	%ecx, %r15d
	subl	%eax, %r15d
	jmp	.L32
	.cfi_endproc
.LFE39:
	.size	combi, .-combi
	.section	.rodata.str1.1,"aMS",@progbits,1
.LC0:
	.string	"%d%d"
.LC1:
	.string	"%d\n"
	.section	.text.startup,"ax",@progbits
	.p2align 4
	.globl	main
	.type	main, @function
main:
.LFB40:
	.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
	movslq	(%rsp), %rdx
	movl	4(%rsp), %edi
	addl	%edx, %edi
	movq	%rdx, %rsi
	subl	$1, %edi
	movslq	%edi, %rax
	imulq	$1001, %rax, %rax
	addq	%rdx, %rax
	leaq	tbl(%rip), %rdx
	movl	(%rdx,%rax,4), %edx
	testl	%edx, %edx
	jne	.L52
	call	combi.part.0
	movl	%eax, %edx
.L52:
	xorl	%eax, %eax
	leaq	.LC1(%rip), %rsi
	movl	$1, %edi
	call	__printf_chk@PLT
	movq	8(%rsp), %rax
	subq	%fs:40, %rax
	jne	.L55
	xorl	%eax, %eax
	addq	$24, %rsp
	.cfi_remember_state
	.cfi_def_cfa_offset 8
	ret
.L55:
	.cfi_restore_state
	call	__stack_chk_fail@PLT
	.cfi_endproc
.LFE40:
	.size	main, .-main
	.globl	tbl
	.bss
	.align 32
	.type	tbl, @object
	.size	tbl, 8012004
tbl:
	.zero	8012004
	.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
	.type	combi.part.0, @function
combi.part.0:
.LFB41:
	.cfi_startproc
	pushq	%r15
	.cfi_def_cfa_offset 16
	.cfi_offset 15, -16
	leal	(%rsi,%rsi), %edx
	movl	%edi, %eax
	pushq	%r14
	.cfi_def_cfa_offset 24
	.cfi_offset 14, -24
	subl	%esi, %eax
	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
	movl	%edi, %ebp
	pushq	%rbx
	.cfi_def_cfa_offset 56
	.cfi_offset 3, -56
	movl	%esi, %ebx
	subq	$40, %rsp
	.cfi_def_cfa_offset 96
	cmpl	%edi, %edx
	cmovg	%eax, %ebx
	testl	%ebx, %ebx
	je	.L16
	cmpl	$1, %ebx
	jne	.L4
	movslq	%edi, %rdx
	movl	%edi, %ecx
	leaq	tbl(%rip), %r12
	movl	$1, %r13d
	imulq	$1152921497, %rdx, %rax
	sarl	$31, %ecx
	sarq	$60, %rax
	subl	%ecx, %eax
	imull	$1000000007, %eax, %ecx
	movl	%edi, %eax
	subl	%ecx, %eax
	jmp	.L3
	.p2align 4,,10
	.p2align 3
.L16:
	movl	$1, %eax
	movslq	%edi, %rdx
	leaq	tbl(%rip), %r12
	xorl	%r13d, %r13d
.L3:
	imulq	$1001, %rdx, %rdx
	addq	%r13, %rdx
	movl	%eax, (%r12,%rdx,4)
	addq	$40, %rsp
	.cfi_remember_state
	.cfi_def_cfa_offset 56
	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
	.p2align 4,,10
	.p2align 3
.L4:
	.cfi_restore_state
	leal	-1(%rdi), %edx
	movslq	%ebx, %r13
	leaq	tbl(%rip), %r12
	movslq	%edx, %r14
	imulq	$1001, %r14, %rax
	addq	%r13, %rax
	movl	(%r12,%rax,4), %r15d
	testl	%r15d, %r15d
	jne	.L5
	leal	(%rbx,%rbx), %eax
	cmpl	%eax, %edx
	jge	.L17
	movl	%edx, %r15d
	subl	%ebx, %r15d
	jne	.L24
	movl	$1, %r15d
	xorl	%ecx, %ecx
.L7:
	imulq	$1001, %r14, %rax
	addq	%rcx, %rax
	movl	%r15d, (%r12,%rax,4)
.L5:
	imulq	$1001, %r14, %rax
	leal	-1(%rbx), %esi
	movslq	%esi, %rcx
	addq	%rcx, %rax
	movl	(%r12,%rax,4), %eax
	testl	%eax, %eax
	jne	.L10
	leal	(%rsi,%rsi), %eax
	cmpl	%eax, %edx
	jge	.L11
	movl	%ebp, %esi
	subl	%ebx, %esi
	movslq	%esi, %rcx
.L11:
	movl	$1, %eax
	testl	%esi, %esi
	je	.L12
	cmpl	$1, %esi
	jne	.L13
	imulq	$1152921497, %r14, %rax
.L22:
	movl	%edx, %esi
	sarq	$60, %rax
	sarl	$31, %esi
	subl	%esi, %eax
	imull	$1000000007, %eax, %esi
	movl	%edx, %eax
	subl	%esi, %eax
.L12:
	imulq	$1001, %r14, %r14
	addq	%rcx, %r14
	movl	%eax, (%r12,%r14,4)
.L10:
	leal	(%rax,%r15), %edx
	movslq	%edx, %rax
	movl	%edx, %ecx
	imulq	$1152921497, %rax, %rax
	sarl	$31, %ecx
	sarq	$60, %rax
	subl	%ecx, %eax
	imull	$1000000007, %eax, %ecx
	movl	%edx, %eax
	movslq	%ebp, %rdx
	subl	%ecx, %eax
	jmp	.L3
	.p2align 4,,10
	.p2align 3
.L17:
	movl	%ebx, %r15d
.L6:
	leal	-2(%rbp), %edi
	movslq	%r15d, %rcx
	movslq	%edi, %r9
	imulq	$1001, %r9, %rax
	addq	%rcx, %rax
	movl	(%r12,%rax,4), %r8d
	testl	%r8d, %r8d
	jne	.L8
	movl	%r15d, %esi
	movq	%r9, 24(%rsp)
	movq	%rcx, 16(%rsp)
	movl	%edx, 12(%rsp)
	movl	%edi, (%rsp)
	call	combi.part.0
	movq	24(%rsp), %r9
	movq	16(%rsp), %rcx
	movl	12(%rsp), %edx
	movl	(%rsp), %edi
	movl	%eax, %r8d
.L8:
	imulq	$1001, %r9, %rax
	leal	-1(%r15), %esi
	movslq	%esi, %r10
	addq	%r10, %rax
	movl	(%r12,%rax,4), %eax
	testl	%eax, %eax
	jne	.L9
	movq	%rcx, 16(%rsp)
	movl	%r8d, 12(%rsp)
	movl	%edx, (%rsp)
	call	combi.part.0
	movq	16(%rsp), %rcx
	movl	12(%rsp), %r8d
	movl	(%rsp), %edx
.L9:
	addl	%r8d, %eax
	movslq	%eax, %r15
	movl	%eax, %esi
	imulq	$1152921497, %r15, %r15
	sarl	$31, %esi
	sarq	$60, %r15
	subl	%esi, %r15d
	imull	$1000000007, %r15d, %esi
	subl	%esi, %eax
	movl	%eax, %r15d
	jmp	.L7
	.p2align 4,,10
	.p2align 3
.L13:
	leal	-2(%rbp), %edi
	movslq	%edi, %rdx
	imulq	$1001, %rdx, %rax
	addq	%rcx, %rax
	movl	(%r12,%rax,4), %ebx
	testl	%ebx, %ebx
	jne	.L14
	movq	%rdx, 24(%rsp)
	movq	%rcx, 16(%rsp)
	movl	%esi, 12(%rsp)
	movl	%edi, (%rsp)
	call	combi.part.0
	movq	24(%rsp), %rdx
	movq	16(%rsp), %rcx
	movl	12(%rsp), %esi
	movl	(%rsp), %edi
	movl	%eax, %ebx
.L14:
	imulq	$1001, %rdx, %rax
	subl	$1, %esi
	movslq	%esi, %r8
	addq	%r8, %rax
	movl	(%r12,%rax,4), %eax
	testl	%eax, %eax
	jne	.L15
	movq	%rcx, (%rsp)
	call	combi.part.0
	movq	(%rsp), %rcx
.L15:
	leal	(%rax,%rbx), %edx
	movslq	%edx, %rax
	imulq	$1152921497, %rax, %rax
	jmp	.L22
.L24:
	cmpl	$1, %r15d
	jne	.L6
	imulq	$1152921497, %r14, %r15
	movl	%edx, %eax
	movl	$1, %ecx
	sarl	$31, %eax
	sarq	$60, %r15
	subl	%eax, %r15d
	imull	$1000000007, %r15d, %eax
	movl	%edx, %r15d
	subl	%eax, %r15d
	jmp	.L7
	.cfi_endproc
.LFE41:
	.size	combi.part.0, .-combi.part.0
	.p2align 4
	.globl	combi
	.type	combi, @function
combi:
.LFB39:
	.cfi_startproc
	endbr64
	pushq	%r15
	.cfi_def_cfa_offset 16
	.cfi_offset 15, -16
	pushq	%r14
	.cfi_def_cfa_offset 24
	.cfi_offset 14, -24
	pushq	%r13
	.cfi_def_cfa_offset 32
	.cfi_offset 13, -32
	pushq	%r12
	.cfi_def_cfa_offset 40
	.cfi_offset 12, -40
	movslq	%edi, %r12
	imulq	$1001, %r12, %rax
	pushq	%rbp
	.cfi_def_cfa_offset 48
	.cfi_offset 6, -48
	movslq	%esi, %rbp
	pushq	%rbx
	.cfi_def_cfa_offset 56
	.cfi_offset 3, -56
	leaq	tbl(%rip), %rbx
	addq	%rbp, %rax
	subq	$56, %rsp
	.cfi_def_cfa_offset 112
	movl	(%rbx,%rax,4), %eax
	testl	%eax, %eax
	jne	.L25
	leal	(%rbp,%rbp), %eax
	movq	%r12, %r13
	movq	%rbp, %r11
	cmpl	%eax, %r12d
	jge	.L27
	movl	%r12d, %eax
	subl	%ebp, %eax
	movslq	%eax, %rbp
	movq	%rbp, %r11
.L27:
	movl	$1, %eax
	testl	%r11d, %r11d
	jne	.L49
.L28:
	imulq	$1001, %r12, %rdx
	addq	%rbp, %rdx
	movl	%eax, (%rbx,%rdx,4)
.L25:
	addq	$56, %rsp
	.cfi_remember_state
	.cfi_def_cfa_offset 56
	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
	.p2align 4,,10
	.p2align 3
.L49:
	.cfi_restore_state
	cmpl	$1, %r11d
	jne	.L29
	imulq	$1152921497, %r12, %rax
	movl	%r13d, %edx
	sarl	$31, %edx
	sarq	$60, %rax
	subl	%edx, %eax
	imull	$1000000007, %eax, %edx
	movl	%r13d, %eax
	subl	%edx, %eax
	jmp	.L28
	.p2align 4,,10
	.p2align 3
.L29:
	leal	-1(%r13), %ecx
	movslq	%ecx, %r14
	imulq	$1001, %r14, %rax
	addq	%rbp, %rax
	movl	(%rbx,%rax,4), %r15d
	testl	%r15d, %r15d
	jne	.L30
	leal	(%r11,%r11), %eax
	cmpl	%eax, %ecx
	jge	.L42
	movl	%ecx, %esi
	subl	%r11d, %esi
	jne	.L50
	movl	$1, %r15d
	xorl	%edx, %edx
.L32:
	imulq	$1001, %r14, %rax
	addq	%rdx, %rax
	movl	%r15d, (%rbx,%rax,4)
.L30:
	imulq	$1001, %r14, %rax
	leal	-1(%r11), %esi
	movslq	%esi, %rdx
	addq	%rdx, %rax
	movl	(%rbx,%rax,4), %eax
	testl	%eax, %eax
	jne	.L35
	leal	(%rsi,%rsi), %eax
	cmpl	%eax, %ecx
	jge	.L36
	movl	%r13d, %esi
	subl	%r11d, %esi
	movslq	%esi, %rdx
.L36:
	movl	$1, %eax
	testl	%esi, %esi
	je	.L37
	cmpl	$1, %esi
	jne	.L38
	imulq	$1152921497, %r14, %rax
.L48:
	movl	%ecx, %esi
	sarq	$60, %rax
	sarl	$31, %esi
	subl	%esi, %eax
	imull	$1000000007, %eax, %esi
	movl	%ecx, %eax
	subl	%esi, %eax
.L37:
	imulq	$1001, %r14, %r14
	addq	%rdx, %r14
	movl	%eax, (%rbx,%r14,4)
.L35:
	leal	(%rax,%r15), %edx
	movslq	%edx, %rax
	movl	%edx, %ecx
	imulq	$1152921497, %rax, %rax
	sarl	$31, %ecx
	sarq	$60, %rax
	subl	%ecx, %eax
	imull	$1000000007, %eax, %ecx
	movl	%edx, %eax
	subl	%ecx, %eax
	jmp	.L28
	.p2align 4,,10
	.p2align 3
.L42:
	movl	%r11d, %esi
.L31:
	leal	-2(%r13), %edi
	movslq	%esi, %rdx
	movslq	%edi, %r8
	imulq	$1001, %r8, %rax
	addq	%rdx, %rax
	movl	(%rbx,%rax,4), %r15d
	testl	%r15d, %r15d
	jne	.L33
	movq	%r8, 40(%rsp)
	movq	%rdx, 32(%rsp)
	movl	%ecx, 24(%rsp)
	movl	%esi, 16(%rsp)
	movl	%edi, 8(%rsp)
	call	combi.part.0
	movq	40(%rsp), %r8
	movq	32(%rsp), %rdx
	movl	24(%rsp), %ecx
	movl	16(%rsp), %esi
	movl	%eax, %r15d
	movl	8(%rsp), %edi
.L33:
	imulq	$1001, %r8, %rax
	subl	$1, %esi
	movslq	%esi, %r9
	addq	%r9, %rax
	movl	(%rbx,%rax,4), %eax
	testl	%eax, %eax
	jne	.L34
	movq	%rdx, 16(%rsp)
	movl	%ecx, 8(%rsp)
	call	combi.part.0
	movq	16(%rsp), %rdx
	movl	8(%rsp), %ecx
.L34:
	addl	%r15d, %eax
	movslq	%eax, %r15
	movl	%eax, %esi
	imulq	$1152921497, %r15, %r15
	sarl	$31, %esi
	sarq	$60, %r15
	subl	%esi, %r15d
	imull	$1000000007, %r15d, %esi
	subl	%esi, %eax
	movl	%eax, %r15d
	jmp	.L32
	.p2align 4,,10
	.p2align 3
.L38:
	subl	$2, %r13d
	movslq	%r13d, %rcx
	imulq	$1001, %rcx, %rax
	addq	%rdx, %rax
	movl	(%rbx,%rax,4), %r11d
	testl	%r11d, %r11d
	jne	.L39
	movl	%r13d, %edi
	movq	%rcx, 24(%rsp)
	movq	%rdx, 16(%rsp)
	movl	%esi, 8(%rsp)
	call	combi.part.0
	movq	24(%rsp), %rcx
	movq	16(%rsp), %rdx
	movl	8(%rsp), %esi
	movl	%eax, %r11d
.L39:
	imulq	$1001, %rcx, %rax
	subl	$1, %esi
	movslq	%esi, %rdi
	addq	%rdi, %rax
	movl	(%rbx,%rax,4), %eax
	testl	%eax, %eax
	jne	.L40
	movl	%r13d, %edi
	movq	%rdx, 8(%rsp)
	call	combi.part.0
	movq	8(%rsp), %rdx
.L40:
	leal	(%rax,%r11), %ecx
	movslq	%ecx, %rax
	imulq	$1152921497, %rax, %rax
	jmp	.L48
.L50:
	cmpl	$1, %esi
	jne	.L31
	imulq	$1152921497, %r14, %r15
	movl	%ecx, %eax
	movl	$1, %edx
	sarl	$31, %eax
	sarq	$60, %r15
	subl	%eax, %r15d
	imull	$1000000007, %r15d, %eax
	movl	%ecx, %r15d
	subl	%eax, %r15d
	jmp	.L32
	.cfi_endproc
.LFE39:
	.size	combi, .-combi
	.section	.rodata.str1.1,"aMS",@progbits,1
.LC0:
	.string	"%d%d"
.LC1:
	.string	"%d\n"
	.section	.text.startup,"ax",@progbits
	.p2align 4
	.globl	main
	.type	main, @function
main:
.LFB40:
	.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
	movslq	(%rsp), %rdx
	movl	4(%rsp), %edi
	addl	%edx, %edi
	movq	%rdx, %rsi
	subl	$1, %edi
	movslq	%edi, %rax
	imulq	$1001, %rax, %rax
	addq	%rdx, %rax
	leaq	tbl(%rip), %rdx
	movl	(%rdx,%rax,4), %edx
	testl	%edx, %edx
	jne	.L52
	call	combi.part.0
	movl	%eax, %edx
.L52:
	xorl	%eax, %eax
	leaq	.LC1(%rip), %rsi
	movl	$1, %edi
	call	__printf_chk@PLT
	movq	8(%rsp), %rax
	subq	%fs:40, %rax
	jne	.L55
	xorl	%eax, %eax
	addq	$24, %rsp
	.cfi_remember_state
	.cfi_def_cfa_offset 8
	ret
.L55:
	.cfi_restore_state
	call	__stack_chk_fail@PLT
	.cfi_endproc
.LFE40:
	.size	main, .-main
	.globl	tbl
	.bss
	.align 32
	.type	tbl, @object
	.size	tbl, 8012004
tbl:
	.zero	8012004
	.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 DPL_5_D Balls and Boxes 4
// n 個の区別できないボールを k 個の区別できる箱に入れる
// とき、可能な入れ方の総数を求めてください。
// 答えは重複組み合わせ kHn = combi(k+n-1, n)
// 2019.3.11 bal4u

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

#define MOD 1000000007
int tbl[2001][1001];

int combi(int n, int k)
{
	int ans;

	if (tbl[n][k]) return tbl[n][k];
	if ((k << 1) > n) k = n - k;
	if (k == 0) ans = 1;
	else if (k == 1) ans = n;
	else ans = combi(n - 1, k) + combi(n - 1, k - 1);
	return tbl[n][k] = ans % MOD;
}

int main()
{
	int n, k;

	scanf("%d%d", &n, &k);
	printf("%d\n", combi(n + k - 1, n));
	return 0;
}

5 3

21

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

```c
// AOJ DPL_5_D Balls and Boxes 4
// n 個の区別できないボールを k 個の区別できる箱に入れる
// とき、可能な入れ方の総数を求めてください。
// 答えは重複組み合わせ kHn = combi(k+n-1, n)
// 2019.3.11 bal4u

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

#define MOD 1000000007
int tbl[2001][1001];

int combi(int n, int k)
{
	int ans;

	if (tbl[n][k]) return tbl[n][k];
	if ((k << 1) > n) k = n - k;
	if (k == 0) ans = 1;
	else if (k == 1) ans = n;
	else ans = combi(n - 1, k) + combi(n - 1, k - 1);
	return tbl[n][k] = ans % MOD;
}

int main()
{
	int n, k;

	scanf("%d%d", &n, &k);
	printf("%d\n", combi(n + k - 1, n));
	return 0;
}
```

Unoptimized Assembly Code:

```assembly
	.file	"temp.c"
	.text
	.globl	tbl
	.bss
	.align 32
	.type	tbl, @object
	.size	tbl, 8012004
tbl:
	.zero	8012004
	.text
	.globl	combi
	.type	combi, @function
combi:
.LFB6:
	.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	$40, %rsp
	.cfi_offset 3, -24
	movl	%edi, -36(%rbp)
	movl	%esi, -40(%rbp)
	movl	-40(%rbp), %eax
	movslq	%eax, %rdx
	movl	-36(%rbp), %eax
	cltq
	imulq	$1001, %rax, %rax
	addq	%rdx, %rax
	leaq	0(,%rax,4), %rdx
	leaq	tbl(%rip), %rax
	movl	(%rdx,%rax), %eax
	testl	%eax, %eax
	je	.L2
	movl	-40(%rbp), %eax
	movslq	%eax, %rdx
	movl	-36(%rbp), %eax
	cltq
	imulq	$1001, %rax, %rax
	addq	%rdx, %rax
	leaq	0(,%rax,4), %rdx
	leaq	tbl(%rip), %rax
	movl	(%rdx,%rax), %eax
	jmp	.L3
.L2:
	movl	-40(%rbp), %eax
	addl	%eax, %eax
	cmpl	%eax, -36(%rbp)
	jge	.L4
	movl	-36(%rbp), %eax
	subl	-40(%rbp), %eax
	movl	%eax, -40(%rbp)
.L4:
	cmpl	$0, -40(%rbp)
	jne	.L5
	movl	$1, -20(%rbp)
	jmp	.L6
.L5:
	cmpl	$1, -40(%rbp)
	jne	.L7
	movl	-36(%rbp), %eax
	movl	%eax, -20(%rbp)
	jmp	.L6
.L7:
	movl	-36(%rbp), %eax
	leal	-1(%rax), %edx
	movl	-40(%rbp), %eax
	movl	%eax, %esi
	movl	%edx, %edi
	call	combi
	movl	%eax, %ebx
	movl	-40(%rbp), %eax
	leal	-1(%rax), %edx
	movl	-36(%rbp), %eax
	subl	$1, %eax
	movl	%edx, %esi
	movl	%eax, %edi
	call	combi
	addl	%ebx, %eax
	movl	%eax, -20(%rbp)
.L6:
	movl	-20(%rbp), %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	-40(%rbp), %edx
	movslq	%edx, %rcx
	movl	-36(%rbp), %edx
	movslq	%edx, %rdx
	imulq	$1001, %rdx, %rdx
	addq	%rcx, %rdx
	leaq	0(,%rdx,4), %rcx
	leaq	tbl(%rip), %rdx
	movl	%eax, (%rcx,%rdx)
	movl	-40(%rbp), %eax
	movslq	%eax, %rdx
	movl	-36(%rbp), %eax
	cltq
	imulq	$1001, %rax, %rax
	addq	%rdx, %rax
	leaq	0(,%rax,4), %rdx
	leaq	tbl(%rip), %rax
	movl	(%rdx,%rax), %eax
.L3:
	movq	-8(%rbp), %rbx
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE6:
	.size	combi, .-combi
	.section	.rodata
.LC0:
	.string	"%d%d"
.LC1:
	.string	"%d\n"
	.text
	.globl	main
	.type	main, @function
main:
.LFB7:
	.cfi_startproc
	endbr64
	pushq	%rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	movq	%rsp, %rbp
	.cfi_def_cfa_register 6
	subq	$16, %rsp
	movq	%fs:40, %rax
	movq	%rax, -8(%rbp)
	xorl	%eax, %eax
	leaq	-12(%rbp), %rdx
	leaq	-16(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movl	-16(%rbp), %eax
	movl	-16(%rbp), %ecx
	movl	-12(%rbp), %edx
	addl	%ecx, %edx
	subl	$1, %edx
	movl	%eax, %esi
	movl	%edx, %edi
	call	combi
	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	.L10
	call	__stack_chk_fail@PLT
.L10:
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE7:
	.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	tbl
	.bss
	.align 32
	.type	tbl, @object
	.size	tbl, 8012004
tbl:
	.zero	8012004
	.text
	.globl	combi
	.type	combi, @function
combi:
.LFB6:
	.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	$40, %rsp
	.cfi_offset 3, -24
	movl	%edi, -36(%rbp)
	movl	%esi, -40(%rbp)
	movl	-40(%rbp), %eax
	movslq	%eax, %rdx
	movl	-36(%rbp), %eax
	cltq
	imulq	$1001, %rax, %rax
	addq	%rdx, %rax
	leaq	0(,%rax,4), %rdx
	leaq	tbl(%rip), %rax
	movl	(%rdx,%rax), %eax
	testl	%eax, %eax
	je	.L2
	movl	-40(%rbp), %eax
	movslq	%eax, %rdx
	movl	-36(%rbp), %eax
	cltq
	imulq	$1001, %rax, %rax
	addq	%rdx, %rax
	leaq	0(,%rax,4), %rdx
	leaq	tbl(%rip), %rax
	movl	(%rdx,%rax), %eax
	jmp	.L3
.L2:
	movl	-40(%rbp), %eax
	addl	%eax, %eax
	cmpl	%eax, -36(%rbp)
	jge	.L4
	movl	-36(%rbp), %eax
	subl	-40(%rbp), %eax
	movl	%eax, -40(%rbp)
.L4:
	cmpl	$0, -40(%rbp)
	jne	.L5
	movl	$1, -20(%rbp)
	jmp	.L6
.L5:
	cmpl	$1, -40(%rbp)
	jne	.L7
	movl	-36(%rbp), %eax
	movl	%eax, -20(%rbp)
	jmp	.L6
.L7:
	movl	-36(%rbp), %eax
	leal	-1(%rax), %edx
	movl	-40(%rbp), %eax
	movl	%eax, %esi
	movl	%edx, %edi
	call	combi
	movl	%eax, %ebx
	movl	-40(%rbp), %eax
	leal	-1(%rax), %edx
	movl	-36(%rbp), %eax
	subl	$1, %eax
	movl	%edx, %esi
	movl	%eax, %edi
	call	combi
	addl	%ebx, %eax
	movl	%eax, -20(%rbp)
.L6:
	movl	-20(%rbp), %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	-40(%rbp), %edx
	movslq	%edx, %rcx
	movl	-36(%rbp), %edx
	movslq	%edx, %rdx
	imulq	$1001, %rdx, %rdx
	addq	%rcx, %rdx
	leaq	0(,%rdx,4), %rcx
	leaq	tbl(%rip), %rdx
	movl	%eax, (%rcx,%rdx)
	movl	-40(%rbp), %eax
	movslq	%eax, %rdx
	movl	-36(%rbp), %eax
	cltq
	imulq	$1001, %rax, %rax
	addq	%rdx, %rax
	leaq	0(,%rax,4), %rdx
	leaq	tbl(%rip), %rax
	movl	(%rdx,%rax), %eax
.L3:
	movq	-8(%rbp), %rbx
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE6:
	.size	combi, .-combi
	.section	.rodata
.LC0:
	.string	"%d%d"
.LC1:
	.string	"%d\n"
	.text
	.globl	main
	.type	main, @function
main:
.LFB7:
	.cfi_startproc
	endbr64
	pushq	%rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	movq	%rsp, %rbp
	.cfi_def_cfa_register 6
	subq	$16, %rsp
	movq	%fs:40, %rax
	movq	%rax, -8(%rbp)
	xorl	%eax, %eax
	leaq	-12(%rbp), %rdx
	leaq	-16(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movl	-16(%rbp), %eax
	movl	-16(%rbp), %ecx
	movl	-12(%rbp), %edx
	addl	%ecx, %edx
	subl	$1, %edx
	movl	%eax, %esi
	movl	%edx, %edi
	call	combi
	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	.L10
	call	__stack_chk_fail@PLT
.L10:
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE7:
	.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:
