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

```c
// Aizu Vol-0 0097: Sum of Integers II
// 2017.9.1 bal4u@uu

#include <stdio.h>

int p[10][101][902];

int main()
{
	int n, s;
	int i, j, k, min, max;
	long long ans;

	for (i = 0; i <= 100; i++) p[1][i][i] = 1;
	for (min = 0, max = 100, n = 1; n < 9; n++, min++, max+=100)
		for (i = 0; i <= 100; i++)
			for (j = min; j <= max; j++)
				for (k = 1; k + i <= 100; k++) p[n+1][i+k][i+j+k] += p[n][i][j];

	while (scanf("%d%d", &n, &s) && n) {
		if (s > 864) puts("0");
		else {
			for (ans = i = 0; i <= 100; i++) ans += p[n][i][s];
			printf("%lld\n", ans);
		}
	}
	return 0;
}```

Unoptimized Assembly Code:

```assembly
	.file	"temp.c"
	.text
	.globl	p
	.bss
	.align 32
	.type	p, @object
	.size	p, 3644080
p:
	.zero	3644080
	.section	.rodata
.LC0:
	.string	"0"
.LC1:
	.string	"%lld\n"
.LC2:
	.string	"%d%d"
	.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
	movl	$0, -36(%rbp)
	jmp	.L2
.L3:
	movl	-36(%rbp), %eax
	cltq
	imulq	$3612, %rax, %rax
	leaq	364408+p(%rip), %rdx
	movl	$1, (%rax,%rdx)
	addl	$1, -36(%rbp)
.L2:
	cmpl	$100, -36(%rbp)
	jle	.L3
	movl	$0, -24(%rbp)
	movl	$100, -20(%rbp)
	movl	$1, -44(%rbp)
	jmp	.L4
.L11:
	movl	$0, -36(%rbp)
	jmp	.L5
.L10:
	movl	-24(%rbp), %eax
	movl	%eax, -32(%rbp)
	jmp	.L6
.L9:
	movl	$1, -28(%rbp)
	jmp	.L7
.L8:
	movl	-44(%rbp), %eax
	leal	1(%rax), %edx
	movl	-36(%rbp), %ecx
	movl	-28(%rbp), %eax
	addl	%ecx, %eax
	movl	-36(%rbp), %esi
	movl	-32(%rbp), %ecx
	addl	%ecx, %esi
	movl	-28(%rbp), %ecx
	addl	%esi, %ecx
	movslq	%ecx, %rcx
	movslq	%edx, %rdx
	cltq
	imulq	$91102, %rdx, %rdx
	imulq	$902, %rax, %rax
	addq	%rdx, %rax
	addq	%rcx, %rax
	leaq	0(,%rax,4), %rdx
	leaq	p(%rip), %rax
	movl	(%rdx,%rax), %edi
	movl	-44(%rbp), %eax
	movl	-32(%rbp), %edx
	movslq	%edx, %rcx
	movslq	%eax, %rdx
	movl	-36(%rbp), %eax
	cltq
	imulq	$91102, %rdx, %rdx
	imulq	$902, %rax, %rax
	addq	%rdx, %rax
	addq	%rcx, %rax
	leaq	0(,%rax,4), %rdx
	leaq	p(%rip), %rax
	movl	(%rdx,%rax), %ecx
	movl	-44(%rbp), %eax
	leal	1(%rax), %edx
	movl	-36(%rbp), %esi
	movl	-28(%rbp), %eax
	addl	%esi, %eax
	movl	-36(%rbp), %r8d
	movl	-32(%rbp), %esi
	addl	%esi, %r8d
	movl	-28(%rbp), %esi
	addl	%r8d, %esi
	addl	%edi, %ecx
	movslq	%esi, %rsi
	movslq	%edx, %rdx
	cltq
	imulq	$91102, %rdx, %rdx
	imulq	$902, %rax, %rax
	addq	%rdx, %rax
	addq	%rsi, %rax
	leaq	0(,%rax,4), %rdx
	leaq	p(%rip), %rax
	movl	%ecx, (%rdx,%rax)
	addl	$1, -28(%rbp)
.L7:
	movl	-28(%rbp), %edx
	movl	-36(%rbp), %eax
	addl	%edx, %eax
	cmpl	$100, %eax
	jle	.L8
	addl	$1, -32(%rbp)
.L6:
	movl	-32(%rbp), %eax
	cmpl	-20(%rbp), %eax
	jle	.L9
	addl	$1, -36(%rbp)
.L5:
	cmpl	$100, -36(%rbp)
	jle	.L10
	movl	-44(%rbp), %eax
	addl	$1, %eax
	movl	%eax, -44(%rbp)
	addl	$1, -24(%rbp)
	addl	$100, -20(%rbp)
.L4:
	movl	-44(%rbp), %eax
	cmpl	$8, %eax
	jle	.L11
	jmp	.L12
.L17:
	movl	-40(%rbp), %eax
	cmpl	$864, %eax
	jle	.L13
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	call	puts@PLT
	jmp	.L12
.L13:
	movl	$0, -36(%rbp)
	movq	$0, -16(%rbp)
	jmp	.L14
.L15:
	movl	-44(%rbp), %eax
	movl	-40(%rbp), %edx
	movslq	%edx, %rcx
	movslq	%eax, %rdx
	movl	-36(%rbp), %eax
	cltq
	imulq	$91102, %rdx, %rdx
	imulq	$902, %rax, %rax
	addq	%rdx, %rax
	addq	%rcx, %rax
	leaq	0(,%rax,4), %rdx
	leaq	p(%rip), %rax
	movl	(%rdx,%rax), %eax
	cltq
	addq	%rax, -16(%rbp)
	addl	$1, -36(%rbp)
.L14:
	cmpl	$100, -36(%rbp)
	jle	.L15
	movq	-16(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC1(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	printf@PLT
.L12:
	leaq	-40(%rbp), %rdx
	leaq	-44(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC2(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	testl	%eax, %eax
	je	.L16
	movl	-44(%rbp), %eax
	testl	%eax, %eax
	jne	.L17
.L16:
	movl	$0, %eax
	movq	-8(%rbp), %rdx
	subq	%fs:40, %rdx
	je	.L19
	call	__stack_chk_fail@PLT
.L19:
	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	"0"
.LC1:
	.string	"%lld\n"
.LC2:
	.string	"%d%d"
	.section	.text.startup,"ax",@progbits
	.p2align 4
	.globl	main
	.type	main, @function
main:
.LFB23:
	.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
	pushq	%rbp
	.cfi_def_cfa_offset 48
	.cfi_offset 6, -48
	pushq	%rbx
	.cfi_def_cfa_offset 56
	.cfi_offset 3, -56
	subq	$136, %rsp
	.cfi_def_cfa_offset 192
	movq	%fs:40, %rax
	movq	%rax, 120(%rsp)
	leaq	364408+p(%rip), %rax
	leaq	-364408(%rax), %r13
	leaq	364812(%rax), %rdx
.L2:
	movl	$1, (%rax)
	addq	$3612, %rax
	cmpq	%rdx, %rax
	jne	.L2
	movq	$364408, 104(%rsp)
	movl	$100, 100(%rsp)
	movl	$0, 96(%rsp)
.L3:
	movl	96(%rsp), %eax
	movl	100(%rsp), %ebx
	movq	$361200, 88(%rsp)
	movl	$100, %r15d
	movl	$99, (%rsp)
	movl	$101, %r12d
	addl	$2, %eax
	leal	1(%rbx), %r14d
	movq	104(%rsp), %rbx
	movq	$0, 72(%rsp)
	cltq
	movl	$0, 60(%rsp)
	imulq	$91102, %rax, %rax
	movq	%rbx, 80(%rsp)
	movq	$0, 64(%rsp)
	movq	%rax, 40(%rsp)
	.p2align 4,,10
	.p2align 3
.L15:
	movl	60(%rsp), %edi
	movl	%edi, %r10d
	addl	$1, %edi
	movl	%edi, 60(%rsp)
	cmpl	$101, %edi
	je	.L8
	movl	%r15d, %edx
	movl	%r15d, %ebx
	movq	64(%rsp), %r9
	movq	80(%rsp), %r8
	andl	$-4, %ebx
	shrl	$2, %edx
	movl	96(%rsp), %ecx
	leal	-1(%rdx), %r11d
	leal	1(%rbx), %edx
	movl	%edx, 24(%rsp)
	leal	2(%rbx), %edx
	leal	(%rdi,%rbx), %esi
	addl	%r9d, %ecx
	leal	(%r10,%rdx), %edi
	movl	%edx, 28(%rsp)
	leal	3(%rbx), %edx
	movslq	%esi, %rsi
	movl	%edx, 56(%rsp)
	addl	%edx, %r10d
	leaq	0(%r13,%r8), %rax
	addq	$1, %r11
	leaq	0(,%r9,4), %rdx
	movl	%edi, 12(%rsp)
	movq	%rdx, 48(%rsp)
	movq	%r8, %rdx
	movq	72(%rsp), %r8
	imulq	$902, %rsi, %rsi
	imulq	$14448, %r11, %r11
	leaq	368020(%r8), %r9
	movq	88(%rsp), %r8
	leaq	364412(%r8), %rbp
	movq	40(%rsp), %r8
	addq	%r8, %rsi
	movq	%rsi, 16(%rsp)
	movslq	%edi, %rsi
	imulq	$902, %rsi, %rsi
	addq	%r8, %rsi
	movq	%rsi, 32(%rsp)
	.p2align 4,,10
	.p2align 3
.L13:
	movq	%rdx, %rsi
	leaq	(%r9,%rdx), %rdi
	addq	$4, %rdx
	leaq	0(%rbp,%rsi), %r8
	cmpq	%rsi, %r8
	setle	%sil
	cmpq	%rdx, %rdi
	setge	%dil
	orb	%sil, %dil
	je	.L11
	cmpl	$8, (%rsp)
	jbe	.L11
	movd	(%rax), %xmm5
	leaq	(%r9,%rax), %rsi
	leaq	(%r11,%rsi), %rdi
	pshufd	$0, %xmm5, %xmm2
	.p2align 4,,10
	.p2align 3
.L4:
	movd	7224(%rsi), %xmm1
	movd	10836(%rsi), %xmm3
	addq	$14448, %rsi
	movd	-14448(%rsi), %xmm0
	movd	-10836(%rsi), %xmm4
	punpckldq	%xmm3, %xmm1
	punpckldq	%xmm4, %xmm0
	punpcklqdq	%xmm1, %xmm0
	paddd	%xmm2, %xmm0
	pshufd	$85, %xmm0, %xmm1
	movd	%xmm0, -14448(%rsi)
	movd	%xmm1, -10836(%rsi)
	movdqa	%xmm0, %xmm1
	punpckhdq	%xmm0, %xmm1
	pshufd	$255, %xmm0, %xmm0
	movd	%xmm1, -7224(%rsi)
	movd	%xmm0, -3612(%rsi)
	cmpq	%rdi, %rsi
	jne	.L4
	cmpl	%r15d, %ebx
	je	.L7
	movl	24(%rsp), %edi
	leal	(%rcx,%rdi), %esi
	movl	(%rax), %edi
	movslq	%esi, %rsi
	addq	16(%rsp), %rsi
	addl	%edi, 0(%r13,%rsi,4)
	cmpl	$100, 12(%rsp)
	ja	.L7
	movl	28(%rsp), %edi
	leal	(%rdi,%rcx), %esi
	movl	(%rax), %edi
	movslq	%esi, %rsi
	addq	32(%rsp), %rsi
	addl	%edi, 0(%r13,%rsi,4)
	cmpl	$100, %r10d
	ja	.L7
	movl	56(%rsp), %edi
	movslq	%r10d, %rsi
	imulq	$902, %rsi, %rsi
	addq	40(%rsp), %rsi
	addl	%ecx, %edi
	movslq	%edi, %rdi
	addq	%rdi, %rsi
	movl	(%rax), %edi
	addl	%edi, 0(%r13,%rsi,4)
.L7:
	addl	$1, %ecx
	addq	$4, %rax
	cmpl	%r14d, %ecx
	jne	.L13
.L8:
	addq	$1, 64(%rsp)
	subl	$1, %r15d
	addl	$1, %r14d
	addq	$4, 72(%rsp)
	addq	$3608, 80(%rsp)
	subl	$1, (%rsp)
	subq	$3608, 88(%rsp)
	subl	$1, %r12d
	jne	.L15
	addl	$100, 100(%rsp)
	movl	100(%rsp), %eax
	addl	$1, 96(%rsp)
	addq	$364412, 104(%rsp)
	cmpl	$900, %eax
	jne	.L3
	leaq	364408(%r13), %rax
	movl	$9, 112(%rsp)
	leaq	116(%rsp), %r15
	movq	%rax, (%rsp)
	leaq	112(%rsp), %r14
	leaq	.LC2(%rip), %r12
	leaq	.LC1(%rip), %rbp
	leaq	.LC0(%rip), %rbx
.L14:
	xorl	%eax, %eax
	movq	%r15, %rdx
	movq	%r14, %rsi
	movq	%r12, %rdi
	call	__isoc99_scanf@PLT
	testl	%eax, %eax
	je	.L19
	movl	112(%rsp), %eax
	testl	%eax, %eax
	je	.L19
	movslq	116(%rsp), %rcx
	cmpl	$864, %ecx
	jle	.L16
	movq	%rbx, %rdi
	call	puts@PLT
	jmp	.L14
	.p2align 4,,10
	.p2align 3
.L11:
	movq	48(%rsp), %rdi
	leaq	368020(%rax,%rdi), %rsi
	movl	$1, %edi
	.p2align 4,,10
	.p2align 3
.L6:
	addl	$1, %edi
	movl	(%rax), %r8d
	addl	%r8d, (%rsi)
	addq	$3612, %rsi
	cmpl	%r12d, %edi
	jne	.L6
	jmp	.L7
.L16:
	movslq	%eax, %rdx
	xorl	%r8d, %r8d
	imulq	$91102, %rdx, %rdx
	addq	%rcx, %rdx
	salq	$2, %rdx
	leaq	0(%r13,%rdx), %rax
	addq	(%rsp), %rdx
.L18:
	movslq	(%rax), %rcx
	addq	$3608, %rax
	addq	%rcx, %r8
	cmpq	%rdx, %rax
	jne	.L18
	movq	%r8, %rdx
	movq	%rbp, %rsi
	movl	$1, %edi
	xorl	%eax, %eax
	call	__printf_chk@PLT
	jmp	.L14
.L19:
	movq	120(%rsp), %rax
	subq	%fs:40, %rax
	jne	.L39
	addq	$136, %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
.L39:
	.cfi_restore_state
	call	__stack_chk_fail@PLT
	.cfi_endproc
.LFE23:
	.size	main, .-main
	.globl	p
	.bss
	.align 32
	.type	p, @object
	.size	p, 3644080
p:
	.zero	3644080
	.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	"0"
.LC1:
	.string	"%lld\n"
.LC2:
	.string	"%d%d"
	.section	.text.startup,"ax",@progbits
	.p2align 4
	.globl	main
	.type	main, @function
main:
.LFB23:
	.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
	pushq	%rbp
	.cfi_def_cfa_offset 48
	.cfi_offset 6, -48
	pushq	%rbx
	.cfi_def_cfa_offset 56
	.cfi_offset 3, -56
	subq	$136, %rsp
	.cfi_def_cfa_offset 192
	movq	%fs:40, %rax
	movq	%rax, 120(%rsp)
	leaq	364408+p(%rip), %rax
	leaq	-364408(%rax), %r13
	leaq	364812(%rax), %rdx
.L2:
	movl	$1, (%rax)
	addq	$3612, %rax
	cmpq	%rdx, %rax
	jne	.L2
	movq	$364408, 104(%rsp)
	movl	$100, 100(%rsp)
	movl	$0, 96(%rsp)
.L3:
	movl	96(%rsp), %eax
	movl	100(%rsp), %ebx
	movq	$361200, 88(%rsp)
	movl	$100, %r15d
	movl	$99, (%rsp)
	movl	$101, %r12d
	addl	$2, %eax
	leal	1(%rbx), %r14d
	movq	104(%rsp), %rbx
	movq	$0, 72(%rsp)
	cltq
	movl	$0, 60(%rsp)
	imulq	$91102, %rax, %rax
	movq	%rbx, 80(%rsp)
	movq	$0, 64(%rsp)
	movq	%rax, 40(%rsp)
	.p2align 4,,10
	.p2align 3
.L15:
	movl	60(%rsp), %edi
	movl	%edi, %r10d
	addl	$1, %edi
	movl	%edi, 60(%rsp)
	cmpl	$101, %edi
	je	.L8
	movl	%r15d, %edx
	movl	%r15d, %ebx
	movq	64(%rsp), %r9
	movq	80(%rsp), %r8
	andl	$-4, %ebx
	shrl	$2, %edx
	movl	96(%rsp), %ecx
	leal	-1(%rdx), %r11d
	leal	1(%rbx), %edx
	movl	%edx, 24(%rsp)
	leal	2(%rbx), %edx
	leal	(%rdi,%rbx), %esi
	addl	%r9d, %ecx
	leal	(%r10,%rdx), %edi
	movl	%edx, 28(%rsp)
	leal	3(%rbx), %edx
	movslq	%esi, %rsi
	movl	%edx, 56(%rsp)
	addl	%edx, %r10d
	leaq	0(%r13,%r8), %rax
	addq	$1, %r11
	leaq	0(,%r9,4), %rdx
	movl	%edi, 12(%rsp)
	movq	%rdx, 48(%rsp)
	movq	%r8, %rdx
	movq	72(%rsp), %r8
	imulq	$902, %rsi, %rsi
	imulq	$14448, %r11, %r11
	leaq	368020(%r8), %r9
	movq	88(%rsp), %r8
	leaq	364412(%r8), %rbp
	movq	40(%rsp), %r8
	addq	%r8, %rsi
	movq	%rsi, 16(%rsp)
	movslq	%edi, %rsi
	imulq	$902, %rsi, %rsi
	addq	%r8, %rsi
	movq	%rsi, 32(%rsp)
	.p2align 4,,10
	.p2align 3
.L13:
	movq	%rdx, %rsi
	leaq	(%r9,%rdx), %rdi
	addq	$4, %rdx
	leaq	0(%rbp,%rsi), %r8
	cmpq	%rsi, %r8
	setle	%sil
	cmpq	%rdx, %rdi
	setge	%dil
	orb	%sil, %dil
	je	.L11
	cmpl	$8, (%rsp)
	jbe	.L11
	movd	(%rax), %xmm5
	leaq	(%r9,%rax), %rsi
	leaq	(%r11,%rsi), %rdi
	pshufd	$0, %xmm5, %xmm2
	.p2align 4,,10
	.p2align 3
.L4:
	movd	7224(%rsi), %xmm1
	movd	10836(%rsi), %xmm3
	addq	$14448, %rsi
	movd	-14448(%rsi), %xmm0
	movd	-10836(%rsi), %xmm4
	punpckldq	%xmm3, %xmm1
	punpckldq	%xmm4, %xmm0
	punpcklqdq	%xmm1, %xmm0
	paddd	%xmm2, %xmm0
	pshufd	$85, %xmm0, %xmm1
	movd	%xmm0, -14448(%rsi)
	movd	%xmm1, -10836(%rsi)
	movdqa	%xmm0, %xmm1
	punpckhdq	%xmm0, %xmm1
	pshufd	$255, %xmm0, %xmm0
	movd	%xmm1, -7224(%rsi)
	movd	%xmm0, -3612(%rsi)
	cmpq	%rdi, %rsi
	jne	.L4
	cmpl	%r15d, %ebx
	je	.L7
	movl	24(%rsp), %edi
	leal	(%rcx,%rdi), %esi
	movl	(%rax), %edi
	movslq	%esi, %rsi
	addq	16(%rsp), %rsi
	addl	%edi, 0(%r13,%rsi,4)
	cmpl	$100, 12(%rsp)
	ja	.L7
	movl	28(%rsp), %edi
	leal	(%rdi,%rcx), %esi
	movl	(%rax), %edi
	movslq	%esi, %rsi
	addq	32(%rsp), %rsi
	addl	%edi, 0(%r13,%rsi,4)
	cmpl	$100, %r10d
	ja	.L7
	movl	56(%rsp), %edi
	movslq	%r10d, %rsi
	imulq	$902, %rsi, %rsi
	addq	40(%rsp), %rsi
	addl	%ecx, %edi
	movslq	%edi, %rdi
	addq	%rdi, %rsi
	movl	(%rax), %edi
	addl	%edi, 0(%r13,%rsi,4)
.L7:
	addl	$1, %ecx
	addq	$4, %rax
	cmpl	%r14d, %ecx
	jne	.L13
.L8:
	addq	$1, 64(%rsp)
	subl	$1, %r15d
	addl	$1, %r14d
	addq	$4, 72(%rsp)
	addq	$3608, 80(%rsp)
	subl	$1, (%rsp)
	subq	$3608, 88(%rsp)
	subl	$1, %r12d
	jne	.L15
	addl	$100, 100(%rsp)
	movl	100(%rsp), %eax
	addl	$1, 96(%rsp)
	addq	$364412, 104(%rsp)
	cmpl	$900, %eax
	jne	.L3
	leaq	364408(%r13), %rax
	movl	$9, 112(%rsp)
	leaq	116(%rsp), %r15
	movq	%rax, (%rsp)
	leaq	112(%rsp), %r14
	leaq	.LC2(%rip), %r12
	leaq	.LC1(%rip), %rbp
	leaq	.LC0(%rip), %rbx
.L14:
	xorl	%eax, %eax
	movq	%r15, %rdx
	movq	%r14, %rsi
	movq	%r12, %rdi
	call	__isoc99_scanf@PLT
	testl	%eax, %eax
	je	.L19
	movl	112(%rsp), %eax
	testl	%eax, %eax
	je	.L19
	movslq	116(%rsp), %rcx
	cmpl	$864, %ecx
	jle	.L16
	movq	%rbx, %rdi
	call	puts@PLT
	jmp	.L14
	.p2align 4,,10
	.p2align 3
.L11:
	movq	48(%rsp), %rdi
	leaq	368020(%rax,%rdi), %rsi
	movl	$1, %edi
	.p2align 4,,10
	.p2align 3
.L6:
	addl	$1, %edi
	movl	(%rax), %r8d
	addl	%r8d, (%rsi)
	addq	$3612, %rsi
	cmpl	%r12d, %edi
	jne	.L6
	jmp	.L7
.L16:
	movslq	%eax, %rdx
	xorl	%r8d, %r8d
	imulq	$91102, %rdx, %rdx
	addq	%rcx, %rdx
	salq	$2, %rdx
	leaq	0(%r13,%rdx), %rax
	addq	(%rsp), %rdx
.L18:
	movslq	(%rax), %rcx
	addq	$3608, %rax
	addq	%rcx, %r8
	cmpq	%rdx, %rax
	jne	.L18
	movq	%r8, %rdx
	movq	%rbp, %rsi
	movl	$1, %edi
	xorl	%eax, %eax
	call	__printf_chk@PLT
	jmp	.L14
.L19:
	movq	120(%rsp), %rax
	subq	%fs:40, %rax
	jne	.L39
	addq	$136, %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
.L39:
	.cfi_restore_state
	call	__stack_chk_fail@PLT
	.cfi_endproc
.LFE23:
	.size	main, .-main
	.globl	p
	.bss
	.align 32
	.type	p, @object
	.size	p, 3644080
p:
	.zero	3644080
	.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:

// Aizu Vol-0 0097: Sum of Integers II
// 2017.9.1 bal4u@uu

#include <stdio.h>

int p[10][101][902];

int main()
{
	int n, s;
	int i, j, k, min, max;
	long long ans;

	for (i = 0; i <= 100; i++) p[1][i][i] = 1;
	for (min = 0, max = 100, n = 1; n < 9; n++, min++, max+=100)
		for (i = 0; i <= 100; i++)
			for (j = min; j <= max; j++)
				for (k = 1; k + i <= 100; k++) p[n+1][i+k][i+j+k] += p[n][i][j];

	while (scanf("%d%d", &n, &s) && n) {
		if (s > 864) puts("0");
		else {
			for (ans = i = 0; i <= 100; i++) ans += p[n][i][s];
			printf("%lld\n", ans);
		}
	}
	return 0;
}
3 12
3 1
0 0
 5 12
3 0
0 0
 5 23
3 0
0 0
 5 28
3 0
0 0
 6 6
3 1
0 0
 3 12
3 3
0 0
 6 23
3 0
0 0
 3 11
3 3
0 0
 3 19
3 -1
0 0
 6 19
3 0
0 0

12
0
 2
0
 57
0
 141
0
 0
0
 12
1
 20
0
 10
1
 30
0
 5
0

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

```c
// Aizu Vol-0 0097: Sum of Integers II
// 2017.9.1 bal4u@uu

#include <stdio.h>

int p[10][101][902];

int main()
{
	int n, s;
	int i, j, k, min, max;
	long long ans;

	for (i = 0; i <= 100; i++) p[1][i][i] = 1;
	for (min = 0, max = 100, n = 1; n < 9; n++, min++, max+=100)
		for (i = 0; i <= 100; i++)
			for (j = min; j <= max; j++)
				for (k = 1; k + i <= 100; k++) p[n+1][i+k][i+j+k] += p[n][i][j];

	while (scanf("%d%d", &n, &s) && n) {
		if (s > 864) puts("0");
		else {
			for (ans = i = 0; i <= 100; i++) ans += p[n][i][s];
			printf("%lld\n", ans);
		}
	}
	return 0;
}```

Unoptimized Assembly Code:

```assembly
	.file	"temp.c"
	.text
	.globl	p
	.bss
	.align 32
	.type	p, @object
	.size	p, 3644080
p:
	.zero	3644080
	.section	.rodata
.LC0:
	.string	"0"
.LC1:
	.string	"%lld\n"
.LC2:
	.string	"%d%d"
	.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
	movl	$0, -36(%rbp)
	jmp	.L2
.L3:
	movl	-36(%rbp), %eax
	cltq
	imulq	$3612, %rax, %rax
	leaq	364408+p(%rip), %rdx
	movl	$1, (%rax,%rdx)
	addl	$1, -36(%rbp)
.L2:
	cmpl	$100, -36(%rbp)
	jle	.L3
	movl	$0, -24(%rbp)
	movl	$100, -20(%rbp)
	movl	$1, -44(%rbp)
	jmp	.L4
.L11:
	movl	$0, -36(%rbp)
	jmp	.L5
.L10:
	movl	-24(%rbp), %eax
	movl	%eax, -32(%rbp)
	jmp	.L6
.L9:
	movl	$1, -28(%rbp)
	jmp	.L7
.L8:
	movl	-44(%rbp), %eax
	leal	1(%rax), %edx
	movl	-36(%rbp), %ecx
	movl	-28(%rbp), %eax
	addl	%ecx, %eax
	movl	-36(%rbp), %esi
	movl	-32(%rbp), %ecx
	addl	%ecx, %esi
	movl	-28(%rbp), %ecx
	addl	%esi, %ecx
	movslq	%ecx, %rcx
	movslq	%edx, %rdx
	cltq
	imulq	$91102, %rdx, %rdx
	imulq	$902, %rax, %rax
	addq	%rdx, %rax
	addq	%rcx, %rax
	leaq	0(,%rax,4), %rdx
	leaq	p(%rip), %rax
	movl	(%rdx,%rax), %edi
	movl	-44(%rbp), %eax
	movl	-32(%rbp), %edx
	movslq	%edx, %rcx
	movslq	%eax, %rdx
	movl	-36(%rbp), %eax
	cltq
	imulq	$91102, %rdx, %rdx
	imulq	$902, %rax, %rax
	addq	%rdx, %rax
	addq	%rcx, %rax
	leaq	0(,%rax,4), %rdx
	leaq	p(%rip), %rax
	movl	(%rdx,%rax), %ecx
	movl	-44(%rbp), %eax
	leal	1(%rax), %edx
	movl	-36(%rbp), %esi
	movl	-28(%rbp), %eax
	addl	%esi, %eax
	movl	-36(%rbp), %r8d
	movl	-32(%rbp), %esi
	addl	%esi, %r8d
	movl	-28(%rbp), %esi
	addl	%r8d, %esi
	addl	%edi, %ecx
	movslq	%esi, %rsi
	movslq	%edx, %rdx
	cltq
	imulq	$91102, %rdx, %rdx
	imulq	$902, %rax, %rax
	addq	%rdx, %rax
	addq	%rsi, %rax
	leaq	0(,%rax,4), %rdx
	leaq	p(%rip), %rax
	movl	%ecx, (%rdx,%rax)
	addl	$1, -28(%rbp)
.L7:
	movl	-28(%rbp), %edx
	movl	-36(%rbp), %eax
	addl	%edx, %eax
	cmpl	$100, %eax
	jle	.L8
	addl	$1, -32(%rbp)
.L6:
	movl	-32(%rbp), %eax
	cmpl	-20(%rbp), %eax
	jle	.L9
	addl	$1, -36(%rbp)
.L5:
	cmpl	$100, -36(%rbp)
	jle	.L10
	movl	-44(%rbp), %eax
	addl	$1, %eax
	movl	%eax, -44(%rbp)
	addl	$1, -24(%rbp)
	addl	$100, -20(%rbp)
.L4:
	movl	-44(%rbp), %eax
	cmpl	$8, %eax
	jle	.L11
	jmp	.L12
.L17:
	movl	-40(%rbp), %eax
	cmpl	$864, %eax
	jle	.L13
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	call	puts@PLT
	jmp	.L12
.L13:
	movl	$0, -36(%rbp)
	movq	$0, -16(%rbp)
	jmp	.L14
.L15:
	movl	-44(%rbp), %eax
	movl	-40(%rbp), %edx
	movslq	%edx, %rcx
	movslq	%eax, %rdx
	movl	-36(%rbp), %eax
	cltq
	imulq	$91102, %rdx, %rdx
	imulq	$902, %rax, %rax
	addq	%rdx, %rax
	addq	%rcx, %rax
	leaq	0(,%rax,4), %rdx
	leaq	p(%rip), %rax
	movl	(%rdx,%rax), %eax
	cltq
	addq	%rax, -16(%rbp)
	addl	$1, -36(%rbp)
.L14:
	cmpl	$100, -36(%rbp)
	jle	.L15
	movq	-16(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC1(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	printf@PLT
.L12:
	leaq	-40(%rbp), %rdx
	leaq	-44(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC2(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	testl	%eax, %eax
	je	.L16
	movl	-44(%rbp), %eax
	testl	%eax, %eax
	jne	.L17
.L16:
	movl	$0, %eax
	movq	-8(%rbp), %rdx
	subq	%fs:40, %rdx
	je	.L19
	call	__stack_chk_fail@PLT
.L19:
	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	p
	.bss
	.align 32
	.type	p, @object
	.size	p, 3644080
p:
	.zero	3644080
	.section	.rodata
.LC0:
	.string	"0"
.LC1:
	.string	"%lld\n"
.LC2:
	.string	"%d%d"
	.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
	movl	$0, -36(%rbp)
	jmp	.L2
.L3:
	movl	-36(%rbp), %eax
	cltq
	imulq	$3612, %rax, %rax
	leaq	364408+p(%rip), %rdx
	movl	$1, (%rax,%rdx)
	addl	$1, -36(%rbp)
.L2:
	cmpl	$100, -36(%rbp)
	jle	.L3
	movl	$0, -24(%rbp)
	movl	$100, -20(%rbp)
	movl	$1, -44(%rbp)
	jmp	.L4
.L11:
	movl	$0, -36(%rbp)
	jmp	.L5
.L10:
	movl	-24(%rbp), %eax
	movl	%eax, -32(%rbp)
	jmp	.L6
.L9:
	movl	$1, -28(%rbp)
	jmp	.L7
.L8:
	movl	-44(%rbp), %eax
	leal	1(%rax), %edx
	movl	-36(%rbp), %ecx
	movl	-28(%rbp), %eax
	addl	%ecx, %eax
	movl	-36(%rbp), %esi
	movl	-32(%rbp), %ecx
	addl	%ecx, %esi
	movl	-28(%rbp), %ecx
	addl	%esi, %ecx
	movslq	%ecx, %rcx
	movslq	%edx, %rdx
	cltq
	imulq	$91102, %rdx, %rdx
	imulq	$902, %rax, %rax
	addq	%rdx, %rax
	addq	%rcx, %rax
	leaq	0(,%rax,4), %rdx
	leaq	p(%rip), %rax
	movl	(%rdx,%rax), %edi
	movl	-44(%rbp), %eax
	movl	-32(%rbp), %edx
	movslq	%edx, %rcx
	movslq	%eax, %rdx
	movl	-36(%rbp), %eax
	cltq
	imulq	$91102, %rdx, %rdx
	imulq	$902, %rax, %rax
	addq	%rdx, %rax
	addq	%rcx, %rax
	leaq	0(,%rax,4), %rdx
	leaq	p(%rip), %rax
	movl	(%rdx,%rax), %ecx
	movl	-44(%rbp), %eax
	leal	1(%rax), %edx
	movl	-36(%rbp), %esi
	movl	-28(%rbp), %eax
	addl	%esi, %eax
	movl	-36(%rbp), %r8d
	movl	-32(%rbp), %esi
	addl	%esi, %r8d
	movl	-28(%rbp), %esi
	addl	%r8d, %esi
	addl	%edi, %ecx
	movslq	%esi, %rsi
	movslq	%edx, %rdx
	cltq
	imulq	$91102, %rdx, %rdx
	imulq	$902, %rax, %rax
	addq	%rdx, %rax
	addq	%rsi, %rax
	leaq	0(,%rax,4), %rdx
	leaq	p(%rip), %rax
	movl	%ecx, (%rdx,%rax)
	addl	$1, -28(%rbp)
.L7:
	movl	-28(%rbp), %edx
	movl	-36(%rbp), %eax
	addl	%edx, %eax
	cmpl	$100, %eax
	jle	.L8
	addl	$1, -32(%rbp)
.L6:
	movl	-32(%rbp), %eax
	cmpl	-20(%rbp), %eax
	jle	.L9
	addl	$1, -36(%rbp)
.L5:
	cmpl	$100, -36(%rbp)
	jle	.L10
	movl	-44(%rbp), %eax
	addl	$1, %eax
	movl	%eax, -44(%rbp)
	addl	$1, -24(%rbp)
	addl	$100, -20(%rbp)
.L4:
	movl	-44(%rbp), %eax
	cmpl	$8, %eax
	jle	.L11
	jmp	.L12
.L17:
	movl	-40(%rbp), %eax
	cmpl	$864, %eax
	jle	.L13
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	call	puts@PLT
	jmp	.L12
.L13:
	movl	$0, -36(%rbp)
	movq	$0, -16(%rbp)
	jmp	.L14
.L15:
	movl	-44(%rbp), %eax
	movl	-40(%rbp), %edx
	movslq	%edx, %rcx
	movslq	%eax, %rdx
	movl	-36(%rbp), %eax
	cltq
	imulq	$91102, %rdx, %rdx
	imulq	$902, %rax, %rax
	addq	%rdx, %rax
	addq	%rcx, %rax
	leaq	0(,%rax,4), %rdx
	leaq	p(%rip), %rax
	movl	(%rdx,%rax), %eax
	cltq
	addq	%rax, -16(%rbp)
	addl	$1, -36(%rbp)
.L14:
	cmpl	$100, -36(%rbp)
	jle	.L15
	movq	-16(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC1(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	printf@PLT
.L12:
	leaq	-40(%rbp), %rdx
	leaq	-44(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC2(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	testl	%eax, %eax
	je	.L16
	movl	-44(%rbp), %eax
	testl	%eax, %eax
	jne	.L17
.L16:
	movl	$0, %eax
	movq	-8(%rbp), %rdx
	subq	%fs:40, %rdx
	je	.L19
	call	__stack_chk_fail@PLT
.L19:
	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:
