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

```c
n,b,i,t;long long k=1;L(x,y){!y?k*=n/x:L(y,x%y);}main(a){for(;scanf("%d%d",&a,&b,n=1)*a;L(n,k),k=++i%3<1?printf("%lld\n",k),1:k)for(t=a;t-1;t=t*a%b)++n;}```

Assembly Code:

```assembly
	.file	"temp.c"
	.text
	.p2align 4
	.globl	L
	.type	L, @function
L:
.LFB0:
	.cfi_startproc
	endbr64
	movl	%edi, %eax
	testl	%esi, %esi
	jne	.L2
	jmp	.L10
	.p2align 4,,10
	.p2align 3
.L11:
	movl	%edx, %esi
.L2:
	cltd
	idivl	%esi
	movl	%esi, %eax
	testl	%edx, %edx
	jne	.L11
.L3:
	movl	n(%rip), %eax
	cltd
	idivl	%esi
	cltq
	imulq	k(%rip), %rax
	movq	%rax, k(%rip)
	xorl	%eax, %eax
	ret
	.p2align 4,,10
	.p2align 3
.L10:
	movl	%edi, %esi
	jmp	.L3
	.cfi_endproc
.LFE0:
	.size	L, .-L
	.section	.rodata.str1.1,"aMS",@progbits,1
.LC0:
	.string	"%lld\n"
.LC1:
	.string	"%d%d"
	.section	.text.startup,"ax",@progbits
	.p2align 4
	.globl	main
	.type	main, @function
main:
.LFB1:
	.cfi_startproc
	endbr64
	pushq	%r13
	.cfi_def_cfa_offset 16
	.cfi_offset 13, -16
	leaq	.LC0(%rip), %r13
	pushq	%r12
	.cfi_def_cfa_offset 24
	.cfi_offset 12, -24
	pushq	%rbp
	.cfi_def_cfa_offset 32
	.cfi_offset 6, -32
	leaq	b(%rip), %rbp
	pushq	%rbx
	.cfi_def_cfa_offset 40
	.cfi_offset 3, -40
	leaq	.LC1(%rip), %rbx
	subq	$24, %rsp
	.cfi_def_cfa_offset 64
	movl	%edi, 12(%rsp)
	leaq	12(%rsp), %r12
	.p2align 4,,10
	.p2align 3
.L13:
	movq	%rbx, %rdi
	movl	$1, %ecx
	movq	%rbp, %rdx
	movq	%r12, %rsi
	movl	$1, n(%rip)
	xorl	%eax, %eax
	call	scanf@PLT
	movl	12(%rsp), %edi
	imull	%edi, %eax
	testl	%eax, %eax
	je	.L29
	movl	%edi, t(%rip)
	movl	n(%rip), %esi
	cmpl	$1, %edi
	je	.L14
	movl	b(%rip), %ecx
	leal	1(%rsi), %eax
	movl	%edi, %edx
	.p2align 4,,10
	.p2align 3
.L15:
	movl	%eax, %esi
	movl	%edx, %eax
	imull	%edi, %eax
	cltd
	idivl	%ecx
	leal	1(%rsi), %eax
	cmpl	$1, %edx
	jne	.L15
	movl	%esi, n(%rip)
	movl	$1, t(%rip)
.L14:
	movq	k(%rip), %r8
	movl	%esi, %eax
	movl	%r8d, %ecx
	testl	%r8d, %r8d
	jne	.L16
	jmp	.L19
	.p2align 4,,10
	.p2align 3
.L22:
	movl	%edx, %ecx
.L16:
	cltd
	idivl	%ecx
	movl	%ecx, %eax
	testl	%edx, %edx
	jne	.L22
	movl	%esi, %eax
	cltd
	idivl	%ecx
	cltq
	imulq	%rax, %r8
.L19:
	movl	i(%rip), %eax
	movq	%r8, k(%rip)
	addl	$1, %eax
	movslq	%eax, %rdx
	movl	%eax, %ecx
	movl	%eax, i(%rip)
	imulq	$1431655766, %rdx, %rdx
	sarl	$31, %ecx
	shrq	$32, %rdx
	subl	%ecx, %edx
	leal	(%rdx,%rdx,2), %edx
	subl	%edx, %eax
	testl	%eax, %eax
	jle	.L30
.L18:
	movq	%r8, k(%rip)
	jmp	.L13
	.p2align 4,,10
	.p2align 3
.L30:
	movq	%r8, %rsi
	movq	%r13, %rdi
	xorl	%eax, %eax
	call	printf@PLT
	movl	$1, %r8d
	jmp	.L18
	.p2align 4,,10
	.p2align 3
.L29:
	addq	$24, %rsp
	.cfi_def_cfa_offset 40
	popq	%rbx
	.cfi_def_cfa_offset 32
	popq	%rbp
	.cfi_def_cfa_offset 24
	popq	%r12
	.cfi_def_cfa_offset 16
	popq	%r13
	.cfi_def_cfa_offset 8
	ret
	.cfi_endproc
.LFE1:
	.size	main, .-main
	.globl	k
	.data
	.align 8
	.type	k, @object
	.size	k, 8
k:
	.quad	1
	.globl	t
	.bss
	.align 4
	.type	t, @object
	.size	t, 4
t:
	.zero	4
	.globl	i
	.align 4
	.type	i, @object
	.size	i, 4
i:
	.zero	4
	.globl	b
	.align 4
	.type	b, @object
	.size	b, 4
b:
	.zero	4
	.globl	n
	.align 4
	.type	n, @object
	.size	n, 4
n:
	.zero	4
	.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.
Optimized Assembly Code:

user
```assembly
	.file	"temp.c"
	.text
	.p2align 4
	.globl	L
	.type	L, @function
L:
.LFB0:
	.cfi_startproc
	endbr64
	movl	%edi, %eax
	testl	%esi, %esi
	jne	.L2
	jmp	.L10
	.p2align 4,,10
	.p2align 3
.L11:
	movl	%edx, %esi
.L2:
	cltd
	idivl	%esi
	movl	%esi, %eax
	testl	%edx, %edx
	jne	.L11
.L3:
	movl	n(%rip), %eax
	cltd
	idivl	%esi
	cltq
	imulq	k(%rip), %rax
	movq	%rax, k(%rip)
	xorl	%eax, %eax
	ret
	.p2align 4,,10
	.p2align 3
.L10:
	movl	%edi, %esi
	jmp	.L3
	.cfi_endproc
.LFE0:
	.size	L, .-L
	.section	.rodata.str1.1,"aMS",@progbits,1
.LC0:
	.string	"%lld\n"
.LC1:
	.string	"%d%d"
	.section	.text.startup,"ax",@progbits
	.p2align 4
	.globl	main
	.type	main, @function
main:
.LFB1:
	.cfi_startproc
	endbr64
	pushq	%r13
	.cfi_def_cfa_offset 16
	.cfi_offset 13, -16
	leaq	.LC0(%rip), %r13
	pushq	%r12
	.cfi_def_cfa_offset 24
	.cfi_offset 12, -24
	pushq	%rbp
	.cfi_def_cfa_offset 32
	.cfi_offset 6, -32
	leaq	b(%rip), %rbp
	pushq	%rbx
	.cfi_def_cfa_offset 40
	.cfi_offset 3, -40
	leaq	.LC1(%rip), %rbx
	subq	$24, %rsp
	.cfi_def_cfa_offset 64
	movl	%edi, 12(%rsp)
	leaq	12(%rsp), %r12
	.p2align 4,,10
	.p2align 3
.L13:
	movq	%rbx, %rdi
	movl	$1, %ecx
	movq	%rbp, %rdx
	movq	%r12, %rsi
	movl	$1, n(%rip)
	xorl	%eax, %eax
	call	scanf@PLT
	movl	12(%rsp), %edi
	imull	%edi, %eax
	testl	%eax, %eax
	je	.L29
	movl	%edi, t(%rip)
	movl	n(%rip), %esi
	cmpl	$1, %edi
	je	.L14
	movl	b(%rip), %ecx
	leal	1(%rsi), %eax
	movl	%edi, %edx
	.p2align 4,,10
	.p2align 3
.L15:
	movl	%eax, %esi
	movl	%edx, %eax
	imull	%edi, %eax
	cltd
	idivl	%ecx
	leal	1(%rsi), %eax
	cmpl	$1, %edx
	jne	.L15
	movl	%esi, n(%rip)
	movl	$1, t(%rip)
.L14:
	movq	k(%rip), %r8
	movl	%esi, %eax
	movl	%r8d, %ecx
	testl	%r8d, %r8d
	jne	.L16
	jmp	.L19
	.p2align 4,,10
	.p2align 3
.L22:
	movl	%edx, %ecx
.L16:
	cltd
	idivl	%ecx
	movl	%ecx, %eax
	testl	%edx, %edx
	jne	.L22
	movl	%esi, %eax
	cltd
	idivl	%ecx
	cltq
	imulq	%rax, %r8
.L19:
	movl	i(%rip), %eax
	movq	%r8, k(%rip)
	addl	$1, %eax
	movslq	%eax, %rdx
	movl	%eax, %ecx
	movl	%eax, i(%rip)
	imulq	$1431655766, %rdx, %rdx
	sarl	$31, %ecx
	shrq	$32, %rdx
	subl	%ecx, %edx
	leal	(%rdx,%rdx,2), %edx
	subl	%edx, %eax
	testl	%eax, %eax
	jle	.L30
.L18:
	movq	%r8, k(%rip)
	jmp	.L13
	.p2align 4,,10
	.p2align 3
.L30:
	movq	%r8, %rsi
	movq	%r13, %rdi
	xorl	%eax, %eax
	call	printf@PLT
	movl	$1, %r8d
	jmp	.L18
	.p2align 4,,10
	.p2align 3
.L29:
	addq	$24, %rsp
	.cfi_def_cfa_offset 40
	popq	%rbx
	.cfi_def_cfa_offset 32
	popq	%rbp
	.cfi_def_cfa_offset 24
	popq	%r12
	.cfi_def_cfa_offset 16
	popq	%r13
	.cfi_def_cfa_offset 8
	ret
	.cfi_endproc
.LFE1:
	.size	main, .-main
	.globl	k
	.data
	.align 8
	.type	k, @object
	.size	k, 8
k:
	.quad	1
	.globl	t
	.bss
	.align 4
	.type	t, @object
	.size	t, 4
t:
	.zero	4
	.globl	i
	.align 4
	.type	i, @object
	.size	i, 4
i:
	.zero	4
	.globl	b
	.align 4
	.type	b, @object
	.size	b, 4
b:
	.zero	4
	.globl	n
	.align 4
	.type	n, @object
	.size	n, 4
n:
	.zero	4
	.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
```assembly
	.file	"temp.c"
	.text
	.p2align 4
	.globl	L
	.type	L, @function
L:
.LFB0:
	.cfi_startproc
	endbr64
	movl	%edi, %eax
	testl	%esi, %esi
	jne	.L2
	jmp	.L10
	.p2align 4,,10
	.p2align 3
.L11:
	movl	%edx, %esi
.L2:
	cltd
	idivl	%esi
	movl	%esi, %eax
	testl	%edx, %edx
	jne	.L11
.L3:
	movl	n(%rip), %eax
	cltd
	idivl	%esi
	cltq
	imulq	k(%rip), %rax
	movq	%rax, k(%rip)
	xorl	%eax, %eax
	ret
	.p2align 4,,10
	.p2align 3
.L10:
	movl	%edi, %esi
	jmp	.L3
	.cfi_endproc
.LFE0:
	.size	L, .-L
	.section	.rodata.str1.1,"aMS",@progbits,1
.LC0:
	.string	"%lld\n"
.LC1:
	.string	"%d%d"
	.section	.text.startup,"ax",@progbits
	.p2align 4
	.globl	main
	.type	main, @function
main:
.LFB1:
	.cfi_startproc
	endbr64
	pushq	%r13
	.cfi_def_cfa_offset 16
	.cfi_offset 13, -16
	leaq	.LC0(%rip), %r13
	pushq	%r12
	.cfi_def_cfa_offset 24
	.cfi_offset 12, -24
	pushq	%rbp
	.cfi_def_cfa_offset 32
	.cfi_offset 6, -32
	leaq	b(%rip), %rbp
	pushq	%rbx
	.cfi_def_cfa_offset 40
	.cfi_offset 3, -40
	leaq	.LC1(%rip), %rbx
	subq	$24, %rsp
	.cfi_def_cfa_offset 64
	movl	%edi, 12(%rsp)
	leaq	12(%rsp), %r12
	.p2align 4,,10
	.p2align 3
.L13:
	movq	%rbx, %rdi
	movl	$1, %ecx
	movq	%rbp, %rdx
	movq	%r12, %rsi
	movl	$1, n(%rip)
	xorl	%eax, %eax
	call	scanf@PLT
	movl	12(%rsp), %edi
	imull	%edi, %eax
	testl	%eax, %eax
	je	.L29
	movl	%edi, t(%rip)
	movl	n(%rip), %esi
	cmpl	$1, %edi
	je	.L14
	movl	b(%rip), %ecx
	leal	1(%rsi), %eax
	movl	%edi, %edx
	.p2align 4,,10
	.p2align 3
.L15:
	movl	%eax, %esi
	movl	%edx, %eax
	imull	%edi, %eax
	cltd
	idivl	%ecx
	leal	1(%rsi), %eax
	cmpl	$1, %edx
	jne	.L15
	movl	%esi, n(%rip)
	movl	$1, t(%rip)
.L14:
	movq	k(%rip), %r8
	movl	%esi, %eax
	movl	%r8d, %ecx
	testl	%r8d, %r8d
	jne	.L16
	jmp	.L19
	.p2align 4,,10
	.p2align 3
.L22:
	movl	%edx, %ecx
.L16:
	cltd
	idivl	%ecx
	movl	%ecx, %eax
	testl	%edx, %edx
	jne	.L22
	movl	%esi, %eax
	cltd
	idivl	%ecx
	cltq
	imulq	%rax, %r8
.L19:
	movl	i(%rip), %eax
	movq	%r8, k(%rip)
	addl	$1, %eax
	movslq	%eax, %rdx
	movl	%eax, %ecx
	movl	%eax, i(%rip)
	imulq	$1431655766, %rdx, %rdx
	sarl	$31, %ecx
	shrq	$32, %rdx
	subl	%ecx, %edx
	leal	(%rdx,%rdx,2), %edx
	subl	%edx, %eax
	testl	%eax, %eax
	jle	.L30
.L18:
	movq	%r8, k(%rip)
	jmp	.L13
	.p2align 4,,10
	.p2align 3
.L30:
	movq	%r8, %rsi
	movq	%r13, %rdi
	xorl	%eax, %eax
	call	printf@PLT
	movl	$1, %r8d
	jmp	.L18
	.p2align 4,,10
	.p2align 3
.L29:
	addq	$24, %rsp
	.cfi_def_cfa_offset 40
	popq	%rbx
	.cfi_def_cfa_offset 32
	popq	%rbp
	.cfi_def_cfa_offset 24
	popq	%r12
	.cfi_def_cfa_offset 16
	popq	%r13
	.cfi_def_cfa_offset 8
	ret
	.cfi_endproc
.LFE1:
	.size	main, .-main
	.globl	k
	.data
	.align 8
	.type	k, @object
	.size	k, 8
k:
	.quad	1
	.globl	t
	.bss
	.align 4
	.type	t, @object
	.size	t, 4
t:
	.zero	4
	.globl	i
	.align 4
	.type	i, @object
	.size	i, 4
i:
	.zero	4
	.globl	b
	.align 4
	.type	b, @object
	.size	b, 4
b:
	.zero	4
	.globl	n
	.align 4
	.type	n, @object
	.size	n, 4
n:
	.zero	4
	.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:
```
```c
n,b,i,t;long long k=1;L(x,y){!y?k*=n/x:L(y,x%y);}main(a){for(;scanf("%d%d",&a,&b,n=1)*a;L(n,k),k=++i%3<1?printf("%lld\n",k),1:k)for(t=a;t-1;t=t*a%b)++n;}```
Given the following C code, your task is to generate highly optimized x86-64 assembly code.
C Code:

```c
n,b,i,t;long long k=1;L(x,y){!y?k*=n/x:L(y,x%y);}main(a){for(;scanf("%d%d",&a,&b,n=1)*a;L(n,k),k=++i%3<1?printf("%lld\n",k),1:k)for(t=a;t-1;t=t*a%b)++n;}```

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.
Optimized Assembly Code:

2 5 5 7 6 13
517 1024 746 6561 4303 3125
0 0 0 0 0 0
 2 5 5 7 6 13
517 1334 746 6561 4303 3125
0 0 0 0 0 0
 2 5 5 7 6 13
517 1024 746 11315 4303 3125
0 0 0 0 0 0
 2 5 5 7 6 13
913 1334 1228 6561 4303 3125
0 0 0 0 0 0
 2 5 5 7 6 13
517 1024 746 14921 4303 3125
0 0 0 0 0 0
 2 5 5 7 6 13
517 821 746 11315 4303 3125
0 0 0 0 0 0
 2 5 5 7 6 13
913 1334 764 6561 6799 3125
0 0 0 0 0 0
 2 5 6 7 6 13
517 1024 746 11867 4303 3125
0 0 0 0 0 0
 2 5 5 7 6 13
844 821 1163 11315 4303 3125
0 0 0 0 0 0
 2 5 5 7 6 13
913 1334 764 6561 10568 3125
0 0 0 0 0 0

12
116640000
 12
140332500
 12
1440000
 12
420997500
 12
581280000
 12
922500
 12
28066500
 12
949280000
 12
1845000
 12
5613300

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

```c
n,b,i,t;long long k=1;L(x,y){!y?k*=n/x:L(y,x%y);}main(a){for(;scanf("%d%d",&a,&b,n=1)*a;L(n,k),k=++i%3<1?printf("%lld\n",k),1:k)for(t=a;t-1;t=t*a%b)++n;}```

Assembly Code:

```assembly
	.file	"temp.c"
	.text
	.p2align 4
	.globl	L
	.type	L, @function
L:
.LFB0:
	.cfi_startproc
	endbr64
	movl	%edi, %eax
	testl	%esi, %esi
	jne	.L2
	jmp	.L10
	.p2align 4,,10
	.p2align 3
.L11:
	movl	%edx, %esi
.L2:
	cltd
	idivl	%esi
	movl	%esi, %eax
	testl	%edx, %edx
	jne	.L11
.L3:
	movl	n(%rip), %eax
	cltd
	idivl	%esi
	cltq
	imulq	k(%rip), %rax
	movq	%rax, k(%rip)
	xorl	%eax, %eax
	ret
	.p2align 4,,10
	.p2align 3
.L10:
	movl	%edi, %esi
	jmp	.L3
	.cfi_endproc
.LFE0:
	.size	L, .-L
	.section	.rodata.str1.1,"aMS",@progbits,1
.LC0:
	.string	"%lld\n"
.LC1:
	.string	"%d%d"
	.section	.text.startup,"ax",@progbits
	.p2align 4
	.globl	main
	.type	main, @function
main:
.LFB1:
	.cfi_startproc
	endbr64
	pushq	%r13
	.cfi_def_cfa_offset 16
	.cfi_offset 13, -16
	leaq	.LC0(%rip), %r13
	pushq	%r12
	.cfi_def_cfa_offset 24
	.cfi_offset 12, -24
	pushq	%rbp
	.cfi_def_cfa_offset 32
	.cfi_offset 6, -32
	leaq	b(%rip), %rbp
	pushq	%rbx
	.cfi_def_cfa_offset 40
	.cfi_offset 3, -40
	leaq	.LC1(%rip), %rbx
	subq	$24, %rsp
	.cfi_def_cfa_offset 64
	movl	%edi, 12(%rsp)
	leaq	12(%rsp), %r12
	.p2align 4,,10
	.p2align 3
.L13:
	movq	%rbx, %rdi
	movl	$1, %ecx
	movq	%rbp, %rdx
	movq	%r12, %rsi
	movl	$1, n(%rip)
	xorl	%eax, %eax
	call	scanf@PLT
	movl	12(%rsp), %edi
	imull	%edi, %eax
	testl	%eax, %eax
	je	.L29
	movl	%edi, t(%rip)
	movl	n(%rip), %esi
	cmpl	$1, %edi
	je	.L14
	movl	b(%rip), %ecx
	leal	1(%rsi), %eax
	movl	%edi, %edx
	.p2align 4,,10
	.p2align 3
.L15:
	movl	%eax, %esi
	movl	%edx, %eax
	imull	%edi, %eax
	cltd
	idivl	%ecx
	leal	1(%rsi), %eax
	cmpl	$1, %edx
	jne	.L15
	movl	%esi, n(%rip)
	movl	$1, t(%rip)
.L14:
	movq	k(%rip), %r8
	movl	%esi, %eax
	movl	%r8d, %ecx
	testl	%r8d, %r8d
	jne	.L16
	jmp	.L19
	.p2align 4,,10
	.p2align 3
.L22:
	movl	%edx, %ecx
.L16:
	cltd
	idivl	%ecx
	movl	%ecx, %eax
	testl	%edx, %edx
	jne	.L22
	movl	%esi, %eax
	cltd
	idivl	%ecx
	cltq
	imulq	%rax, %r8
.L19:
	movl	i(%rip), %eax
	movq	%r8, k(%rip)
	addl	$1, %eax
	movslq	%eax, %rdx
	movl	%eax, %ecx
	movl	%eax, i(%rip)
	imulq	$1431655766, %rdx, %rdx
	sarl	$31, %ecx
	shrq	$32, %rdx
	subl	%ecx, %edx
	leal	(%rdx,%rdx,2), %edx
	subl	%edx, %eax
	testl	%eax, %eax
	jle	.L30
.L18:
	movq	%r8, k(%rip)
	jmp	.L13
	.p2align 4,,10
	.p2align 3
.L30:
	movq	%r8, %rsi
	movq	%r13, %rdi
	xorl	%eax, %eax
	call	printf@PLT
	movl	$1, %r8d
	jmp	.L18
	.p2align 4,,10
	.p2align 3
.L29:
	addq	$24, %rsp
	.cfi_def_cfa_offset 40
	popq	%rbx
	.cfi_def_cfa_offset 32
	popq	%rbp
	.cfi_def_cfa_offset 24
	popq	%r12
	.cfi_def_cfa_offset 16
	popq	%r13
	.cfi_def_cfa_offset 8
	ret
	.cfi_endproc
.LFE1:
	.size	main, .-main
	.globl	k
	.data
	.align 8
	.type	k, @object
	.size	k, 8
k:
	.quad	1
	.globl	t
	.bss
	.align 4
	.type	t, @object
	.size	t, 4
t:
	.zero	4
	.globl	i
	.align 4
	.type	i, @object
	.size	i, 4
i:
	.zero	4
	.globl	b
	.align 4
	.type	b, @object
	.size	b, 4
b:
	.zero	4
	.globl	n
	.align 4
	.type	n, @object
	.size	n, 4
n:
	.zero	4
	.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.
Optimized Assembly Code:

train
```assembly
	.file	"temp.c"
	.text
	.p2align 4
	.globl	L
	.type	L, @function
L:
.LFB0:
	.cfi_startproc
	endbr64
	movl	%edi, %eax
	testl	%esi, %esi
	jne	.L2
	jmp	.L10
	.p2align 4,,10
	.p2align 3
.L11:
	movl	%edx, %esi
.L2:
	cltd
	idivl	%esi
	movl	%esi, %eax
	testl	%edx, %edx
	jne	.L11
.L3:
	movl	n(%rip), %eax
	cltd
	idivl	%esi
	cltq
	imulq	k(%rip), %rax
	movq	%rax, k(%rip)
	xorl	%eax, %eax
	ret
	.p2align 4,,10
	.p2align 3
.L10:
	movl	%edi, %esi
	jmp	.L3
	.cfi_endproc
.LFE0:
	.size	L, .-L
	.section	.rodata.str1.1,"aMS",@progbits,1
.LC0:
	.string	"%lld\n"
.LC1:
	.string	"%d%d"
	.section	.text.startup,"ax",@progbits
	.p2align 4
	.globl	main
	.type	main, @function
main:
.LFB1:
	.cfi_startproc
	endbr64
	pushq	%r13
	.cfi_def_cfa_offset 16
	.cfi_offset 13, -16
	leaq	.LC0(%rip), %r13
	pushq	%r12
	.cfi_def_cfa_offset 24
	.cfi_offset 12, -24
	pushq	%rbp
	.cfi_def_cfa_offset 32
	.cfi_offset 6, -32
	leaq	b(%rip), %rbp
	pushq	%rbx
	.cfi_def_cfa_offset 40
	.cfi_offset 3, -40
	leaq	.LC1(%rip), %rbx
	subq	$24, %rsp
	.cfi_def_cfa_offset 64
	movl	%edi, 12(%rsp)
	leaq	12(%rsp), %r12
	.p2align 4,,10
	.p2align 3
.L13:
	movq	%rbx, %rdi
	movl	$1, %ecx
	movq	%rbp, %rdx
	movq	%r12, %rsi
	movl	$1, n(%rip)
	xorl	%eax, %eax
	call	scanf@PLT
	movl	12(%rsp), %edi
	imull	%edi, %eax
	testl	%eax, %eax
	je	.L29
	movl	%edi, t(%rip)
	movl	n(%rip), %esi
	cmpl	$1, %edi
	je	.L14
	movl	b(%rip), %ecx
	leal	1(%rsi), %eax
	movl	%edi, %edx
	.p2align 4,,10
	.p2align 3
.L15:
	movl	%eax, %esi
	movl	%edx, %eax
	imull	%edi, %eax
	cltd
	idivl	%ecx
	leal	1(%rsi), %eax
	cmpl	$1, %edx
	jne	.L15
	movl	%esi, n(%rip)
	movl	$1, t(%rip)
.L14:
	movq	k(%rip), %r8
	movl	%esi, %eax
	movl	%r8d, %ecx
	testl	%r8d, %r8d
	jne	.L16
	jmp	.L19
	.p2align 4,,10
	.p2align 3
.L22:
	movl	%edx, %ecx
.L16:
	cltd
	idivl	%ecx
	movl	%ecx, %eax
	testl	%edx, %edx
	jne	.L22
	movl	%esi, %eax
	cltd
	idivl	%ecx
	cltq
	imulq	%rax, %r8
.L19:
	movl	i(%rip), %eax
	movq	%r8, k(%rip)
	addl	$1, %eax
	movslq	%eax, %rdx
	movl	%eax, %ecx
	movl	%eax, i(%rip)
	imulq	$1431655766, %rdx, %rdx
	sarl	$31, %ecx
	shrq	$32, %rdx
	subl	%ecx, %edx
	leal	(%rdx,%rdx,2), %edx
	subl	%edx, %eax
	testl	%eax, %eax
	jle	.L30
.L18:
	movq	%r8, k(%rip)
	jmp	.L13
	.p2align 4,,10
	.p2align 3
.L30:
	movq	%r8, %rsi
	movq	%r13, %rdi
	xorl	%eax, %eax
	call	printf@PLT
	movl	$1, %r8d
	jmp	.L18
	.p2align 4,,10
	.p2align 3
.L29:
	addq	$24, %rsp
	.cfi_def_cfa_offset 40
	popq	%rbx
	.cfi_def_cfa_offset 32
	popq	%rbp
	.cfi_def_cfa_offset 24
	popq	%r12
	.cfi_def_cfa_offset 16
	popq	%r13
	.cfi_def_cfa_offset 8
	ret
	.cfi_endproc
.LFE1:
	.size	main, .-main
	.globl	k
	.data
	.align 8
	.type	k, @object
	.size	k, 8
k:
	.quad	1
	.globl	t
	.bss
	.align 4
	.type	t, @object
	.size	t, 4
t:
	.zero	4
	.globl	i
	.align 4
	.type	i, @object
	.size	i, 4
i:
	.zero	4
	.globl	b
	.align 4
	.type	b, @object
	.size	b, 4
b:
	.zero	4
	.globl	n
	.align 4
	.type	n, @object
	.size	n, 4
n:
	.zero	4
	.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:
```