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

```c
m=1e9+7,P[2][3333]={1};*p,*q;c,i;f(j){q[j]=*p*!~c+c*p[j];j<i&&f(j+1);q[j]=(1L*q[j]+q[j+1]+m)%m;}main(){for(gets(&c);c=1-getchar(p=P[i%2])%3;f(0))q=P[++i&1];printf("%d",*p);}```

Unoptimized Assembly Code:

```assembly
	.file	"temp.c"
	.text
	.globl	m
	.data
	.align 4
	.type	m, @object
	.size	m, 4
m:
	.long	1000000007
	.globl	P
	.align 32
	.type	P, @object
	.size	P, 26664
P:
	.long	1
	.zero	13328
	.zero	13332
	.globl	p
	.bss
	.align 8
	.type	p, @object
	.size	p, 8
p:
	.zero	8
	.globl	q
	.align 8
	.type	q, @object
	.size	q, 8
q:
	.zero	8
	.globl	c
	.align 4
	.type	c, @object
	.size	c, 4
c:
	.zero	4
	.globl	i
	.align 4
	.type	i, @object
	.size	i, 4
i:
	.zero	4
	.text
	.globl	f
	.type	f, @function
f:
.LFB0:
	.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
	movl	%edi, -4(%rbp)
	movq	p(%rip), %rax
	movl	(%rax), %edx
	movl	c(%rip), %eax
	cmpl	$-1, %eax
	sete	%al
	movzbl	%al, %eax
	movl	%edx, %ecx
	imull	%eax, %ecx
	movq	p(%rip), %rdx
	movl	-4(%rbp), %eax
	cltq
	salq	$2, %rax
	addq	%rdx, %rax
	movl	(%rax), %edx
	movl	c(%rip), %eax
	imull	%eax, %edx
	movq	q(%rip), %rsi
	movl	-4(%rbp), %eax
	cltq
	salq	$2, %rax
	addq	%rsi, %rax
	addl	%ecx, %edx
	movl	%edx, (%rax)
	movl	i(%rip), %eax
	cmpl	%eax, -4(%rbp)
	jge	.L3
	movl	-4(%rbp), %eax
	addl	$1, %eax
	movl	%eax, %edi
	movl	$0, %eax
	call	f
	testl	%eax, %eax
.L3:
	movq	q(%rip), %rdx
	movl	-4(%rbp), %eax
	cltq
	salq	$2, %rax
	addq	%rdx, %rax
	movl	(%rax), %eax
	movslq	%eax, %rdx
	movq	q(%rip), %rcx
	movl	-4(%rbp), %eax
	cltq
	addq	$1, %rax
	salq	$2, %rax
	addq	%rcx, %rax
	movl	(%rax), %eax
	cltq
	addq	%rax, %rdx
	movl	m(%rip), %eax
	cltq
	addq	%rdx, %rax
	movl	m(%rip), %edx
	movslq	%edx, %rcx
	cqto
	idivq	%rcx
	movq	%rdx, %rcx
	movq	q(%rip), %rdx
	movl	-4(%rbp), %eax
	cltq
	salq	$2, %rax
	addq	%rdx, %rax
	movl	%ecx, %edx
	movl	%edx, (%rax)
	nop
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE0:
	.size	f, .-f
	.section	.rodata
.LC0:
	.string	"%d"
	.text
	.globl	main
	.type	main, @function
main:
.LFB1:
	.cfi_startproc
	endbr64
	pushq	%rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	movq	%rsp, %rbp
	.cfi_def_cfa_register 6
	leaq	c(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	gets@PLT
	jmp	.L5
.L6:
	movl	i(%rip), %eax
	addl	$1, %eax
	movl	%eax, i(%rip)
	movl	i(%rip), %eax
	andl	$1, %eax
	cltq
	imulq	$13332, %rax, %rax
	leaq	P(%rip), %rdx
	addq	%rdx, %rax
	movq	%rax, q(%rip)
	movl	$0, %edi
	movl	$0, %eax
	call	f
.L5:
	movl	i(%rip), %eax
	cltd
	shrl	$31, %edx
	addl	%edx, %eax
	andl	$1, %eax
	subl	%edx, %eax
	cltq
	imulq	$13332, %rax, %rax
	leaq	P(%rip), %rdx
	addq	%rdx, %rax
	movq	%rax, p(%rip)
	movq	p(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	getchar@PLT
	movslq	%eax, %rdx
	imulq	$1431655766, %rdx, %rdx
	shrq	$32, %rdx
	movl	%eax, %esi
	sarl	$31, %esi
	movl	%edx, %ecx
	subl	%esi, %ecx
	movl	%ecx, %edx
	addl	%edx, %edx
	addl	%ecx, %edx
	subl	%edx, %eax
	movl	%eax, %ecx
	movl	$1, %eax
	subl	%ecx, %eax
	movl	%eax, c(%rip)
	movl	c(%rip), %eax
	testl	%eax, %eax
	jne	.L6
	movq	p(%rip), %rax
	movl	(%rax), %eax
	movl	%eax, %esi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	printf@PLT
	movl	$0, %eax
	popq	%rbp
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE1:
	.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	f
	.type	f, @function
f:
.LFB0:
	.cfi_startproc
	endbr64
	movl	c(%rip), %eax
	movslq	%edi, %rcx
	xorl	%edx, %edx
	pushq	%r14
	.cfi_def_cfa_offset 16
	.cfi_offset 14, -16
	movq	p(%rip), %rsi
	pushq	%r13
	.cfi_def_cfa_offset 24
	.cfi_offset 13, -24
	cmpl	$-1, %eax
	pushq	%r12
	.cfi_def_cfa_offset 32
	.cfi_offset 12, -32
	movq	q(%rip), %r12
	pushq	%rbp
	.cfi_def_cfa_offset 40
	.cfi_offset 6, -40
	sete	%dl
	leaq	0(,%rcx,4), %rbp
	pushq	%rbx
	.cfi_def_cfa_offset 48
	.cfi_offset 3, -48
	imull	(%rsi), %edx
	leaq	(%r12,%rbp), %rbx
	imull	(%rsi,%rcx,4), %eax
	addl	%eax, %edx
	movl	%edx, (%rbx)
	cmpl	%edi, i(%rip)
	jg	.L7
.L2:
	movslq	4(%r12,%rbp), %rax
	movslq	m(%rip), %rcx
	movslq	%edx, %rdx
	addq	%rdx, %rax
	addq	%rcx, %rax
	cqto
	idivq	%rcx
	movl	%edx, (%rbx)
	popq	%rbx
	.cfi_remember_state
	.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
	.p2align 4,,10
	.p2align 3
.L7:
	.cfi_restore_state
	movl	c(%rip), %eax
	xorl	%edx, %edx
	leaq	4(%r12,%rbp), %r13
	cmpl	$-1, %eax
	sete	%dl
	imull	4(%rsi,%rbp), %eax
	imull	(%rsi), %edx
	addl	%eax, %edx
	leal	1(%rdi), %eax
	movl	%edx, 0(%r13)
	cmpl	i(%rip), %eax
	jl	.L8
.L3:
	movslq	8(%r12,%rbp), %rax
	movslq	m(%rip), %rcx
	movslq	%edx, %rdx
	addq	%rdx, %rax
	addq	%rcx, %rax
	cqto
	idivq	%rcx
	movl	%edx, 0(%r13)
	movl	(%rbx), %edx
	jmp	.L2
	.p2align 4,,10
	.p2align 3
.L8:
	movl	c(%rip), %eax
	xorl	%edx, %edx
	leaq	8(%r12,%rbp), %r14
	cmpl	$-1, %eax
	sete	%dl
	imull	8(%rsi,%rbp), %eax
	imull	(%rsi), %edx
	addl	%eax, %edx
	leal	2(%rdi), %eax
	movl	%edx, (%r14)
	cmpl	i(%rip), %eax
	jl	.L9
.L4:
	movslq	12(%r12,%rbp), %rax
	movslq	m(%rip), %rcx
	movslq	%edx, %rdx
	addq	%rdx, %rax
	addq	%rcx, %rax
	cqto
	idivq	%rcx
	movl	%edx, (%r14)
	movl	0(%r13), %edx
	jmp	.L3
	.p2align 4,,10
	.p2align 3
.L9:
	addl	$3, %edi
	xorl	%eax, %eax
	call	f
	movl	(%r14), %edx
	jmp	.L4
	.cfi_endproc
.LFE0:
	.size	f, .-f
	.section	.rodata.str1.1,"aMS",@progbits,1
.LC0:
	.string	"%d"
	.section	.text.startup,"ax",@progbits
	.p2align 4
	.globl	main
	.type	main, @function
main:
.LFB1:
	.cfi_startproc
	endbr64
	pushq	%rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	leaq	c(%rip), %rdi
	xorl	%eax, %eax
	movl	$1, %ebp
	pushq	%rbx
	.cfi_def_cfa_offset 24
	.cfi_offset 3, -24
	leaq	P(%rip), %rbx
	subq	$8, %rsp
	.cfi_def_cfa_offset 32
	call	gets@PLT
	jmp	.L11
	.p2align 4,,10
	.p2align 3
.L31:
	movl	4(%r8), %edi
	movslq	m(%rip), %rsi
.L13:
	movslq	%edi, %rdx
	movslq	%ecx, %rax
	addq	%rdx, %rax
	addq	%rsi, %rax
	cqto
	idivq	%rsi
	movl	%edx, (%r8)
.L11:
	movl	i(%rip), %eax
	movl	%eax, %edx
	shrl	$31, %edx
	leal	(%rax,%rdx), %edi
	xorl	%eax, %eax
	andl	$1, %edi
	subl	%edx, %edi
	movslq	%edi, %rdi
	imulq	$13332, %rdi, %rdi
	addq	%rbx, %rdi
	movq	%rdi, p(%rip)
	call	getchar@PLT
	movl	%ebp, %esi
	movslq	%eax, %rdx
	movl	%eax, %ecx
	imulq	$1431655766, %rdx, %rdx
	sarl	$31, %ecx
	shrq	$32, %rdx
	subl	%ecx, %edx
	leal	(%rdx,%rdx,2), %edx
	subl	%edx, %eax
	subl	%eax, %esi
	movl	%esi, c(%rip)
	je	.L30
	movl	i(%rip), %eax
	xorl	%r9d, %r9d
	movq	p(%rip), %rdi
	leal	1(%rax), %edx
	movl	%edx, %r8d
	movl	%edx, i(%rip)
	andl	$1, %r8d
	imulq	$13332, %r8, %r8
	addq	%rbx, %r8
	cmpl	$-1, %esi
	sete	%r9b
	movq	%r8, q(%rip)
	leal	(%rsi,%r9), %ecx
	imull	(%rdi), %ecx
	movl	%ecx, (%r8)
	testl	%edx, %edx
	jle	.L31
	movl	(%rdi), %eax
	movl	4(%rdi), %r10d
	imull	%r9d, %eax
	imull	%esi, %r10d
	addl	%r10d, %eax
	movl	%eax, 4(%r8)
	cmpl	$1, %edx
	jne	.L14
	movl	8(%r8), %edi
	movslq	m(%rip), %rsi
.L15:
	movslq	%edi, %rdx
	cltq
	addq	%rdx, %rax
	addq	%rsi, %rax
	cqto
	idivq	%rsi
	movl	%edx, 4(%r8)
	movl	%edx, %edi
	jmp	.L13
	.p2align 4,,10
	.p2align 3
.L30:
	movq	p(%rip), %rax
	leaq	.LC0(%rip), %rdi
	movl	(%rax), %esi
	xorl	%eax, %eax
	call	printf@PLT
	addq	$8, %rsp
	.cfi_remember_state
	.cfi_def_cfa_offset 24
	xorl	%eax, %eax
	popq	%rbx
	.cfi_def_cfa_offset 16
	popq	%rbp
	.cfi_def_cfa_offset 8
	ret
	.p2align 4,,10
	.p2align 3
.L14:
	.cfi_restore_state
	movl	(%rdi), %eax
	movl	8(%rdi), %ecx
	imull	%r9d, %eax
	imull	%esi, %ecx
	addl	%ecx, %eax
	movl	%eax, 8(%r8)
	cmpl	$2, %edx
	jne	.L27
	movslq	m(%rip), %rsi
	movslq	12(%r8), %rcx
.L16:
	movslq	8(%r8), %rax
	addq	%rcx, %rax
	movl	(%r8), %ecx
	addq	%rsi, %rax
	cqto
	idivq	%rsi
	movl	4(%r8), %eax
	movl	%edx, 8(%r8)
	movl	%edx, %edi
	jmp	.L15
.L27:
	movl	(%rdi), %eax
	movl	12(%rdi), %ecx
	imull	%r9d, %eax
	imull	%esi, %ecx
	addl	%ecx, %eax
	movl	%eax, 12(%r8)
	cmpl	$3, %edx
	jne	.L28
	movslq	m(%rip), %rsi
	movl	16(%r8), %edi
.L17:
	movslq	12(%r8), %rax
	movslq	%edi, %rdx
	movslq	%esi, %rcx
	addq	%rdx, %rax
	addq	%rcx, %rax
	cqto
	idivq	%rcx
	movl	%edx, 12(%r8)
	movslq	%edx, %rcx
	jmp	.L16
.L28:
	imull	(%rdi), %r9d
	imull	16(%rdi), %esi
	leal	(%r9,%rsi), %eax
	movl	%eax, 16(%r8)
	cmpl	$4, %edx
	jne	.L32
.L18:
	movslq	16(%r8), %rax
	movslq	20(%r8), %rdx
	movslq	m(%rip), %rcx
	addq	%rdx, %rax
	addq	%rcx, %rax
	movq	%rcx, %rsi
	cqto
	idivq	%rcx
	movl	%edx, 16(%r8)
	movl	%edx, %edi
	jmp	.L17
.L32:
	movl	$5, %edi
	xorl	%eax, %eax
	call	f
	jmp	.L18
	.cfi_endproc
.LFE1:
	.size	main, .-main
	.globl	i
	.bss
	.align 4
	.type	i, @object
	.size	i, 4
i:
	.zero	4
	.globl	c
	.align 4
	.type	c, @object
	.size	c, 4
c:
	.zero	4
	.globl	q
	.align 8
	.type	q, @object
	.size	q, 8
q:
	.zero	8
	.globl	p
	.align 8
	.type	p, @object
	.size	p, 8
p:
	.zero	8
	.globl	P
	.data
	.align 32
	.type	P, @object
	.size	P, 26664
P:
	.long	1
	.zero	13328
	.zero	13332
	.globl	m
	.align 4
	.type	m, @object
	.size	m, 4
m:
	.long	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	f
	.type	f, @function
f:
.LFB0:
	.cfi_startproc
	endbr64
	movl	c(%rip), %eax
	movslq	%edi, %rcx
	xorl	%edx, %edx
	pushq	%r14
	.cfi_def_cfa_offset 16
	.cfi_offset 14, -16
	movq	p(%rip), %rsi
	pushq	%r13
	.cfi_def_cfa_offset 24
	.cfi_offset 13, -24
	cmpl	$-1, %eax
	pushq	%r12
	.cfi_def_cfa_offset 32
	.cfi_offset 12, -32
	movq	q(%rip), %r12
	pushq	%rbp
	.cfi_def_cfa_offset 40
	.cfi_offset 6, -40
	sete	%dl
	leaq	0(,%rcx,4), %rbp
	pushq	%rbx
	.cfi_def_cfa_offset 48
	.cfi_offset 3, -48
	imull	(%rsi), %edx
	leaq	(%r12,%rbp), %rbx
	imull	(%rsi,%rcx,4), %eax
	addl	%eax, %edx
	movl	%edx, (%rbx)
	cmpl	%edi, i(%rip)
	jg	.L7
.L2:
	movslq	4(%r12,%rbp), %rax
	movslq	m(%rip), %rcx
	movslq	%edx, %rdx
	addq	%rdx, %rax
	addq	%rcx, %rax
	cqto
	idivq	%rcx
	movl	%edx, (%rbx)
	popq	%rbx
	.cfi_remember_state
	.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
	.p2align 4,,10
	.p2align 3
.L7:
	.cfi_restore_state
	movl	c(%rip), %eax
	xorl	%edx, %edx
	leaq	4(%r12,%rbp), %r13
	cmpl	$-1, %eax
	sete	%dl
	imull	4(%rsi,%rbp), %eax
	imull	(%rsi), %edx
	addl	%eax, %edx
	leal	1(%rdi), %eax
	movl	%edx, 0(%r13)
	cmpl	i(%rip), %eax
	jl	.L8
.L3:
	movslq	8(%r12,%rbp), %rax
	movslq	m(%rip), %rcx
	movslq	%edx, %rdx
	addq	%rdx, %rax
	addq	%rcx, %rax
	cqto
	idivq	%rcx
	movl	%edx, 0(%r13)
	movl	(%rbx), %edx
	jmp	.L2
	.p2align 4,,10
	.p2align 3
.L8:
	movl	c(%rip), %eax
	xorl	%edx, %edx
	leaq	8(%r12,%rbp), %r14
	cmpl	$-1, %eax
	sete	%dl
	imull	8(%rsi,%rbp), %eax
	imull	(%rsi), %edx
	addl	%eax, %edx
	leal	2(%rdi), %eax
	movl	%edx, (%r14)
	cmpl	i(%rip), %eax
	jl	.L9
.L4:
	movslq	12(%r12,%rbp), %rax
	movslq	m(%rip), %rcx
	movslq	%edx, %rdx
	addq	%rdx, %rax
	addq	%rcx, %rax
	cqto
	idivq	%rcx
	movl	%edx, (%r14)
	movl	0(%r13), %edx
	jmp	.L3
	.p2align 4,,10
	.p2align 3
.L9:
	addl	$3, %edi
	xorl	%eax, %eax
	call	f
	movl	(%r14), %edx
	jmp	.L4
	.cfi_endproc
.LFE0:
	.size	f, .-f
	.section	.rodata.str1.1,"aMS",@progbits,1
.LC0:
	.string	"%d"
	.section	.text.startup,"ax",@progbits
	.p2align 4
	.globl	main
	.type	main, @function
main:
.LFB1:
	.cfi_startproc
	endbr64
	pushq	%rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	leaq	c(%rip), %rdi
	xorl	%eax, %eax
	movl	$1, %ebp
	pushq	%rbx
	.cfi_def_cfa_offset 24
	.cfi_offset 3, -24
	leaq	P(%rip), %rbx
	subq	$8, %rsp
	.cfi_def_cfa_offset 32
	call	gets@PLT
	jmp	.L11
	.p2align 4,,10
	.p2align 3
.L31:
	movl	4(%r8), %edi
	movslq	m(%rip), %rsi
.L13:
	movslq	%edi, %rdx
	movslq	%ecx, %rax
	addq	%rdx, %rax
	addq	%rsi, %rax
	cqto
	idivq	%rsi
	movl	%edx, (%r8)
.L11:
	movl	i(%rip), %eax
	movl	%eax, %edx
	shrl	$31, %edx
	leal	(%rax,%rdx), %edi
	xorl	%eax, %eax
	andl	$1, %edi
	subl	%edx, %edi
	movslq	%edi, %rdi
	imulq	$13332, %rdi, %rdi
	addq	%rbx, %rdi
	movq	%rdi, p(%rip)
	call	getchar@PLT
	movl	%ebp, %esi
	movslq	%eax, %rdx
	movl	%eax, %ecx
	imulq	$1431655766, %rdx, %rdx
	sarl	$31, %ecx
	shrq	$32, %rdx
	subl	%ecx, %edx
	leal	(%rdx,%rdx,2), %edx
	subl	%edx, %eax
	subl	%eax, %esi
	movl	%esi, c(%rip)
	je	.L30
	movl	i(%rip), %eax
	xorl	%r9d, %r9d
	movq	p(%rip), %rdi
	leal	1(%rax), %edx
	movl	%edx, %r8d
	movl	%edx, i(%rip)
	andl	$1, %r8d
	imulq	$13332, %r8, %r8
	addq	%rbx, %r8
	cmpl	$-1, %esi
	sete	%r9b
	movq	%r8, q(%rip)
	leal	(%rsi,%r9), %ecx
	imull	(%rdi), %ecx
	movl	%ecx, (%r8)
	testl	%edx, %edx
	jle	.L31
	movl	(%rdi), %eax
	movl	4(%rdi), %r10d
	imull	%r9d, %eax
	imull	%esi, %r10d
	addl	%r10d, %eax
	movl	%eax, 4(%r8)
	cmpl	$1, %edx
	jne	.L14
	movl	8(%r8), %edi
	movslq	m(%rip), %rsi
.L15:
	movslq	%edi, %rdx
	cltq
	addq	%rdx, %rax
	addq	%rsi, %rax
	cqto
	idivq	%rsi
	movl	%edx, 4(%r8)
	movl	%edx, %edi
	jmp	.L13
	.p2align 4,,10
	.p2align 3
.L30:
	movq	p(%rip), %rax
	leaq	.LC0(%rip), %rdi
	movl	(%rax), %esi
	xorl	%eax, %eax
	call	printf@PLT
	addq	$8, %rsp
	.cfi_remember_state
	.cfi_def_cfa_offset 24
	xorl	%eax, %eax
	popq	%rbx
	.cfi_def_cfa_offset 16
	popq	%rbp
	.cfi_def_cfa_offset 8
	ret
	.p2align 4,,10
	.p2align 3
.L14:
	.cfi_restore_state
	movl	(%rdi), %eax
	movl	8(%rdi), %ecx
	imull	%r9d, %eax
	imull	%esi, %ecx
	addl	%ecx, %eax
	movl	%eax, 8(%r8)
	cmpl	$2, %edx
	jne	.L27
	movslq	m(%rip), %rsi
	movslq	12(%r8), %rcx
.L16:
	movslq	8(%r8), %rax
	addq	%rcx, %rax
	movl	(%r8), %ecx
	addq	%rsi, %rax
	cqto
	idivq	%rsi
	movl	4(%r8), %eax
	movl	%edx, 8(%r8)
	movl	%edx, %edi
	jmp	.L15
.L27:
	movl	(%rdi), %eax
	movl	12(%rdi), %ecx
	imull	%r9d, %eax
	imull	%esi, %ecx
	addl	%ecx, %eax
	movl	%eax, 12(%r8)
	cmpl	$3, %edx
	jne	.L28
	movslq	m(%rip), %rsi
	movl	16(%r8), %edi
.L17:
	movslq	12(%r8), %rax
	movslq	%edi, %rdx
	movslq	%esi, %rcx
	addq	%rdx, %rax
	addq	%rcx, %rax
	cqto
	idivq	%rcx
	movl	%edx, 12(%r8)
	movslq	%edx, %rcx
	jmp	.L16
.L28:
	imull	(%rdi), %r9d
	imull	16(%rdi), %esi
	leal	(%r9,%rsi), %eax
	movl	%eax, 16(%r8)
	cmpl	$4, %edx
	jne	.L32
.L18:
	movslq	16(%r8), %rax
	movslq	20(%r8), %rdx
	movslq	m(%rip), %rcx
	addq	%rdx, %rax
	addq	%rcx, %rax
	movq	%rcx, %rsi
	cqto
	idivq	%rcx
	movl	%edx, 16(%r8)
	movl	%edx, %edi
	jmp	.L17
.L32:
	movl	$5, %edi
	xorl	%eax, %eax
	call	f
	jmp	.L18
	.cfi_endproc
.LFE1:
	.size	main, .-main
	.globl	i
	.bss
	.align 4
	.type	i, @object
	.size	i, 4
i:
	.zero	4
	.globl	c
	.align 4
	.type	c, @object
	.size	c, 4
c:
	.zero	4
	.globl	q
	.align 8
	.type	q, @object
	.size	q, 8
q:
	.zero	8
	.globl	p
	.align 8
	.type	p, @object
	.size	p, 8
p:
	.zero	8
	.globl	P
	.data
	.align 32
	.type	P, @object
	.size	P, 26664
P:
	.long	1
	.zero	13328
	.zero	13332
	.globl	m
	.align 4
	.type	m, @object
	.size	m, 4
m:
	.long	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:

m=1e9+7,P[2][3333]={1};*p,*q;c,i;f(j){q[j]=*p*!~c+c*p[j];j<i&&f(j+1);q[j]=(1L*q[j]+q[j+1]+m)%m;}main(){for(gets(&c);c=1-getchar(p=P[i%2])%3;f(0))q=P[++i&1];printf("%d",*p);}
20
>><<>>><>><>>><>>>>
 20
>><<>>><>>>>>><>>><
 4
<<>
 20
>>>><>>>>><<>>><<>>
 20
<>>><>>><>>>>>><<>>
 20
>><<>>><>>>><>>>>><
 20
<>>><>>>>>><<>>><>>
 20
>>>><>>><>>>>>><<<>
 20
>><<>>><>>><>><>>>>
 20
>><>>><><>>>>><>>><

217136290 415929071 3 784400335 586939232 704760317 789425989 939449690 418243919 729939877
Given the following C code and unoptimized assembly code, your task is to generate highly optimized x86-64 assembly code.
C Code:

```c
m=1e9+7,P[2][3333]={1};*p,*q;c,i;f(j){q[j]=*p*!~c+c*p[j];j<i&&f(j+1);q[j]=(1L*q[j]+q[j+1]+m)%m;}main(){for(gets(&c);c=1-getchar(p=P[i%2])%3;f(0))q=P[++i&1];printf("%d",*p);}```

Unoptimized Assembly Code:

```assembly
	.file	"temp.c"
	.text
	.globl	m
	.data
	.align 4
	.type	m, @object
	.size	m, 4
m:
	.long	1000000007
	.globl	P
	.align 32
	.type	P, @object
	.size	P, 26664
P:
	.long	1
	.zero	13328
	.zero	13332
	.globl	p
	.bss
	.align 8
	.type	p, @object
	.size	p, 8
p:
	.zero	8
	.globl	q
	.align 8
	.type	q, @object
	.size	q, 8
q:
	.zero	8
	.globl	c
	.align 4
	.type	c, @object
	.size	c, 4
c:
	.zero	4
	.globl	i
	.align 4
	.type	i, @object
	.size	i, 4
i:
	.zero	4
	.text
	.globl	f
	.type	f, @function
f:
.LFB0:
	.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
	movl	%edi, -4(%rbp)
	movq	p(%rip), %rax
	movl	(%rax), %edx
	movl	c(%rip), %eax
	cmpl	$-1, %eax
	sete	%al
	movzbl	%al, %eax
	movl	%edx, %ecx
	imull	%eax, %ecx
	movq	p(%rip), %rdx
	movl	-4(%rbp), %eax
	cltq
	salq	$2, %rax
	addq	%rdx, %rax
	movl	(%rax), %edx
	movl	c(%rip), %eax
	imull	%eax, %edx
	movq	q(%rip), %rsi
	movl	-4(%rbp), %eax
	cltq
	salq	$2, %rax
	addq	%rsi, %rax
	addl	%ecx, %edx
	movl	%edx, (%rax)
	movl	i(%rip), %eax
	cmpl	%eax, -4(%rbp)
	jge	.L3
	movl	-4(%rbp), %eax
	addl	$1, %eax
	movl	%eax, %edi
	movl	$0, %eax
	call	f
	testl	%eax, %eax
.L3:
	movq	q(%rip), %rdx
	movl	-4(%rbp), %eax
	cltq
	salq	$2, %rax
	addq	%rdx, %rax
	movl	(%rax), %eax
	movslq	%eax, %rdx
	movq	q(%rip), %rcx
	movl	-4(%rbp), %eax
	cltq
	addq	$1, %rax
	salq	$2, %rax
	addq	%rcx, %rax
	movl	(%rax), %eax
	cltq
	addq	%rax, %rdx
	movl	m(%rip), %eax
	cltq
	addq	%rdx, %rax
	movl	m(%rip), %edx
	movslq	%edx, %rcx
	cqto
	idivq	%rcx
	movq	%rdx, %rcx
	movq	q(%rip), %rdx
	movl	-4(%rbp), %eax
	cltq
	salq	$2, %rax
	addq	%rdx, %rax
	movl	%ecx, %edx
	movl	%edx, (%rax)
	nop
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE0:
	.size	f, .-f
	.section	.rodata
.LC0:
	.string	"%d"
	.text
	.globl	main
	.type	main, @function
main:
.LFB1:
	.cfi_startproc
	endbr64
	pushq	%rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	movq	%rsp, %rbp
	.cfi_def_cfa_register 6
	leaq	c(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	gets@PLT
	jmp	.L5
.L6:
	movl	i(%rip), %eax
	addl	$1, %eax
	movl	%eax, i(%rip)
	movl	i(%rip), %eax
	andl	$1, %eax
	cltq
	imulq	$13332, %rax, %rax
	leaq	P(%rip), %rdx
	addq	%rdx, %rax
	movq	%rax, q(%rip)
	movl	$0, %edi
	movl	$0, %eax
	call	f
.L5:
	movl	i(%rip), %eax
	cltd
	shrl	$31, %edx
	addl	%edx, %eax
	andl	$1, %eax
	subl	%edx, %eax
	cltq
	imulq	$13332, %rax, %rax
	leaq	P(%rip), %rdx
	addq	%rdx, %rax
	movq	%rax, p(%rip)
	movq	p(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	getchar@PLT
	movslq	%eax, %rdx
	imulq	$1431655766, %rdx, %rdx
	shrq	$32, %rdx
	movl	%eax, %esi
	sarl	$31, %esi
	movl	%edx, %ecx
	subl	%esi, %ecx
	movl	%ecx, %edx
	addl	%edx, %edx
	addl	%ecx, %edx
	subl	%edx, %eax
	movl	%eax, %ecx
	movl	$1, %eax
	subl	%ecx, %eax
	movl	%eax, c(%rip)
	movl	c(%rip), %eax
	testl	%eax, %eax
	jne	.L6
	movq	p(%rip), %rax
	movl	(%rax), %eax
	movl	%eax, %esi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	printf@PLT
	movl	$0, %eax
	popq	%rbp
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE1:
	.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	m
	.data
	.align 4
	.type	m, @object
	.size	m, 4
m:
	.long	1000000007
	.globl	P
	.align 32
	.type	P, @object
	.size	P, 26664
P:
	.long	1
	.zero	13328
	.zero	13332
	.globl	p
	.bss
	.align 8
	.type	p, @object
	.size	p, 8
p:
	.zero	8
	.globl	q
	.align 8
	.type	q, @object
	.size	q, 8
q:
	.zero	8
	.globl	c
	.align 4
	.type	c, @object
	.size	c, 4
c:
	.zero	4
	.globl	i
	.align 4
	.type	i, @object
	.size	i, 4
i:
	.zero	4
	.text
	.globl	f
	.type	f, @function
f:
.LFB0:
	.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
	movl	%edi, -4(%rbp)
	movq	p(%rip), %rax
	movl	(%rax), %edx
	movl	c(%rip), %eax
	cmpl	$-1, %eax
	sete	%al
	movzbl	%al, %eax
	movl	%edx, %ecx
	imull	%eax, %ecx
	movq	p(%rip), %rdx
	movl	-4(%rbp), %eax
	cltq
	salq	$2, %rax
	addq	%rdx, %rax
	movl	(%rax), %edx
	movl	c(%rip), %eax
	imull	%eax, %edx
	movq	q(%rip), %rsi
	movl	-4(%rbp), %eax
	cltq
	salq	$2, %rax
	addq	%rsi, %rax
	addl	%ecx, %edx
	movl	%edx, (%rax)
	movl	i(%rip), %eax
	cmpl	%eax, -4(%rbp)
	jge	.L3
	movl	-4(%rbp), %eax
	addl	$1, %eax
	movl	%eax, %edi
	movl	$0, %eax
	call	f
	testl	%eax, %eax
.L3:
	movq	q(%rip), %rdx
	movl	-4(%rbp), %eax
	cltq
	salq	$2, %rax
	addq	%rdx, %rax
	movl	(%rax), %eax
	movslq	%eax, %rdx
	movq	q(%rip), %rcx
	movl	-4(%rbp), %eax
	cltq
	addq	$1, %rax
	salq	$2, %rax
	addq	%rcx, %rax
	movl	(%rax), %eax
	cltq
	addq	%rax, %rdx
	movl	m(%rip), %eax
	cltq
	addq	%rdx, %rax
	movl	m(%rip), %edx
	movslq	%edx, %rcx
	cqto
	idivq	%rcx
	movq	%rdx, %rcx
	movq	q(%rip), %rdx
	movl	-4(%rbp), %eax
	cltq
	salq	$2, %rax
	addq	%rdx, %rax
	movl	%ecx, %edx
	movl	%edx, (%rax)
	nop
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE0:
	.size	f, .-f
	.section	.rodata
.LC0:
	.string	"%d"
	.text
	.globl	main
	.type	main, @function
main:
.LFB1:
	.cfi_startproc
	endbr64
	pushq	%rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	movq	%rsp, %rbp
	.cfi_def_cfa_register 6
	leaq	c(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	gets@PLT
	jmp	.L5
.L6:
	movl	i(%rip), %eax
	addl	$1, %eax
	movl	%eax, i(%rip)
	movl	i(%rip), %eax
	andl	$1, %eax
	cltq
	imulq	$13332, %rax, %rax
	leaq	P(%rip), %rdx
	addq	%rdx, %rax
	movq	%rax, q(%rip)
	movl	$0, %edi
	movl	$0, %eax
	call	f
.L5:
	movl	i(%rip), %eax
	cltd
	shrl	$31, %edx
	addl	%edx, %eax
	andl	$1, %eax
	subl	%edx, %eax
	cltq
	imulq	$13332, %rax, %rax
	leaq	P(%rip), %rdx
	addq	%rdx, %rax
	movq	%rax, p(%rip)
	movq	p(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	getchar@PLT
	movslq	%eax, %rdx
	imulq	$1431655766, %rdx, %rdx
	shrq	$32, %rdx
	movl	%eax, %esi
	sarl	$31, %esi
	movl	%edx, %ecx
	subl	%esi, %ecx
	movl	%ecx, %edx
	addl	%edx, %edx
	addl	%ecx, %edx
	subl	%edx, %eax
	movl	%eax, %ecx
	movl	$1, %eax
	subl	%ecx, %eax
	movl	%eax, c(%rip)
	movl	c(%rip), %eax
	testl	%eax, %eax
	jne	.L6
	movq	p(%rip), %rax
	movl	(%rax), %eax
	movl	%eax, %esi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	printf@PLT
	movl	$0, %eax
	popq	%rbp
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE1:
	.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:
