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

```c
char ch[2][3]={"RG","BY"};i,j,n,m;main(k){scanf("%d%d%d",&n,&m,&k);for(;n/++i;puts(""))for(j=0;m/++j;)putchar(ch[(i+j+2000)/k%2][(i-j+2000)/k%2]);}```

Unoptimized Assembly Code:

```assembly
	.file	"temp.c"
	.text
	.globl	ch
	.data
	.type	ch, @object
	.size	ch, 6
ch:
	.string	"RG"
	.string	"BY"
	.globl	i
	.bss
	.align 4
	.type	i, @object
	.size	i, 4
i:
	.zero	4
	.globl	j
	.align 4
	.type	j, @object
	.size	j, 4
j:
	.zero	4
	.globl	n
	.align 4
	.type	n, @object
	.size	n, 4
n:
	.zero	4
	.globl	m
	.align 4
	.type	m, @object
	.size	m, 4
m:
	.zero	4
	.section	.rodata
.LC0:
	.string	"%d%d%d"
.LC1:
	.string	""
	.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	$16, %rsp
	movl	%edi, -4(%rbp)
	leaq	-4(%rbp), %rax
	movq	%rax, %rcx
	leaq	m(%rip), %rax
	movq	%rax, %rdx
	leaq	n(%rip), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	scanf@PLT
	jmp	.L2
.L5:
	movl	$0, j(%rip)
	jmp	.L3
.L4:
	movl	i(%rip), %edx
	movl	j(%rip), %eax
	addl	%edx, %eax
	addl	$2000, %eax
	movl	-4(%rbp), %esi
	cltd
	idivl	%esi
	movl	%eax, %edx
	movl	%edx, %eax
	sarl	$31, %eax
	shrl	$31, %eax
	movl	%eax, %ecx
	leal	(%rdx,%rcx), %eax
	andl	$1, %eax
	subl	%ecx, %eax
	movl	%eax, %esi
	movl	i(%rip), %eax
	movl	j(%rip), %edx
	subl	%edx, %eax
	addl	$2000, %eax
	movl	-4(%rbp), %edi
	cltd
	idivl	%edi
	movl	%eax, %edx
	movl	%edx, %eax
	sarl	$31, %eax
	shrl	$31, %eax
	movl	%eax, %ecx
	leal	(%rdx,%rcx), %eax
	andl	$1, %eax
	subl	%ecx, %eax
	movslq	%eax, %rcx
	movslq	%esi, %rdx
	movq	%rdx, %rax
	addq	%rax, %rax
	addq	%rdx, %rax
	leaq	(%rax,%rcx), %rdx
	leaq	ch(%rip), %rax
	addq	%rdx, %rax
	movzbl	(%rax), %eax
	movsbl	%al, %eax
	movl	%eax, %edi
	call	putchar@PLT
.L3:
	movl	m(%rip), %eax
	movl	j(%rip), %edx
	addl	$1, %edx
	movl	%edx, j(%rip)
	movl	j(%rip), %esi
	cltd
	idivl	%esi
	testl	%eax, %eax
	jne	.L4
	leaq	.LC1(%rip), %rax
	movq	%rax, %rdi
	call	puts@PLT
.L2:
	movl	n(%rip), %eax
	movl	i(%rip), %edx
	addl	$1, %edx
	movl	%edx, i(%rip)
	movl	i(%rip), %edi
	cltd
	idivl	%edi
	testl	%eax, %eax
	jne	.L5
	movl	$0, %eax
	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	"%d%d%d"
.LC1:
	.string	""
	.section	.text.startup,"ax",@progbits
	.p2align 4
	.globl	main
	.type	main, @function
main:
.LFB0:
	.cfi_startproc
	endbr64
	pushq	%rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	leaq	m(%rip), %rdx
	leaq	n(%rip), %rsi
	xorl	%eax, %eax
	pushq	%rbx
	.cfi_def_cfa_offset 24
	.cfi_offset 3, -24
	subq	$24, %rsp
	.cfi_def_cfa_offset 48
	movl	%edi, 12(%rsp)
	leaq	12(%rsp), %rcx
	leaq	.LC0(%rip), %rdi
	call	scanf@PLT
	movl	n(%rip), %eax
	movl	i(%rip), %ebx
	cltd
	leal	1(%rbx), %r8d
	idivl	%r8d
	movl	%r8d, i(%rip)
	testl	%eax, %eax
	je	.L15
	leaq	.LC1(%rip), %rbp
	leaq	ch(%rip), %rbx
	.p2align 4,,10
	.p2align 3
.L2:
	movl	$1, j(%rip)
	movl	m(%rip), %eax
	testl	%eax, %eax
	je	.L3
	movl	$1, %esi
	jmp	.L4
	.p2align 4,,10
	.p2align 3
.L18:
	movl	i(%rip), %r8d
.L4:
	movl	%r8d, %eax
	movl	12(%rsp), %edi
	subl	%esi, %eax
	addl	$2000, %eax
	cltd
	idivl	%edi
	movl	%eax, %edx
	shrl	$31, %edx
	leal	(%rax,%rdx), %ecx
	leal	2000(%rsi,%r8), %eax
	andl	$1, %ecx
	subl	%edx, %ecx
	cltd
	idivl	%edi
	movslq	%ecx, %rcx
	movl	%eax, %edx
	shrl	$31, %edx
	addl	%edx, %eax
	andl	$1, %eax
	subl	%edx, %eax
	cltq
	leaq	(%rax,%rax,2), %rax
	addq	%rbx, %rax
	movsbl	(%rax,%rcx), %edi
	call	putchar@PLT
	movl	m(%rip), %eax
	movl	j(%rip), %esi
	cltd
	addl	$1, %esi
	idivl	%esi
	movl	%esi, j(%rip)
	testl	%eax, %eax
	jne	.L18
.L3:
	movq	%rbp, %rdi
	call	puts@PLT
	movl	n(%rip), %eax
	movl	i(%rip), %edi
	cltd
	leal	1(%rdi), %r8d
	idivl	%r8d
	movl	%r8d, i(%rip)
	testl	%eax, %eax
	jne	.L2
.L15:
	addq	$24, %rsp
	.cfi_def_cfa_offset 24
	xorl	%eax, %eax
	popq	%rbx
	.cfi_def_cfa_offset 16
	popq	%rbp
	.cfi_def_cfa_offset 8
	ret
	.cfi_endproc
.LFE0:
	.size	main, .-main
	.globl	m
	.bss
	.align 4
	.type	m, @object
	.size	m, 4
m:
	.zero	4
	.globl	n
	.align 4
	.type	n, @object
	.size	n, 4
n:
	.zero	4
	.globl	j
	.align 4
	.type	j, @object
	.size	j, 4
j:
	.zero	4
	.globl	i
	.align 4
	.type	i, @object
	.size	i, 4
i:
	.zero	4
	.globl	ch
	.data
	.type	ch, @object
	.size	ch, 6
ch:
	.string	"RG"
	.string	"BY"
	.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	"%d%d%d"
.LC1:
	.string	""
	.section	.text.startup,"ax",@progbits
	.p2align 4
	.globl	main
	.type	main, @function
main:
.LFB0:
	.cfi_startproc
	endbr64
	pushq	%rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	leaq	m(%rip), %rdx
	leaq	n(%rip), %rsi
	xorl	%eax, %eax
	pushq	%rbx
	.cfi_def_cfa_offset 24
	.cfi_offset 3, -24
	subq	$24, %rsp
	.cfi_def_cfa_offset 48
	movl	%edi, 12(%rsp)
	leaq	12(%rsp), %rcx
	leaq	.LC0(%rip), %rdi
	call	scanf@PLT
	movl	n(%rip), %eax
	movl	i(%rip), %ebx
	cltd
	leal	1(%rbx), %r8d
	idivl	%r8d
	movl	%r8d, i(%rip)
	testl	%eax, %eax
	je	.L15
	leaq	.LC1(%rip), %rbp
	leaq	ch(%rip), %rbx
	.p2align 4,,10
	.p2align 3
.L2:
	movl	$1, j(%rip)
	movl	m(%rip), %eax
	testl	%eax, %eax
	je	.L3
	movl	$1, %esi
	jmp	.L4
	.p2align 4,,10
	.p2align 3
.L18:
	movl	i(%rip), %r8d
.L4:
	movl	%r8d, %eax
	movl	12(%rsp), %edi
	subl	%esi, %eax
	addl	$2000, %eax
	cltd
	idivl	%edi
	movl	%eax, %edx
	shrl	$31, %edx
	leal	(%rax,%rdx), %ecx
	leal	2000(%rsi,%r8), %eax
	andl	$1, %ecx
	subl	%edx, %ecx
	cltd
	idivl	%edi
	movslq	%ecx, %rcx
	movl	%eax, %edx
	shrl	$31, %edx
	addl	%edx, %eax
	andl	$1, %eax
	subl	%edx, %eax
	cltq
	leaq	(%rax,%rax,2), %rax
	addq	%rbx, %rax
	movsbl	(%rax,%rcx), %edi
	call	putchar@PLT
	movl	m(%rip), %eax
	movl	j(%rip), %esi
	cltd
	addl	$1, %esi
	idivl	%esi
	movl	%esi, j(%rip)
	testl	%eax, %eax
	jne	.L18
.L3:
	movq	%rbp, %rdi
	call	puts@PLT
	movl	n(%rip), %eax
	movl	i(%rip), %edi
	cltd
	leal	1(%rdi), %r8d
	idivl	%r8d
	movl	%r8d, i(%rip)
	testl	%eax, %eax
	jne	.L2
.L15:
	addq	$24, %rsp
	.cfi_def_cfa_offset 24
	xorl	%eax, %eax
	popq	%rbx
	.cfi_def_cfa_offset 16
	popq	%rbp
	.cfi_def_cfa_offset 8
	ret
	.cfi_endproc
.LFE0:
	.size	main, .-main
	.globl	m
	.bss
	.align 4
	.type	m, @object
	.size	m, 4
m:
	.zero	4
	.globl	n
	.align 4
	.type	n, @object
	.size	n, 4
n:
	.zero	4
	.globl	j
	.align 4
	.type	j, @object
	.size	j, 4
j:
	.zero	4
	.globl	i
	.align 4
	.type	i, @object
	.size	i, 4
i:
	.zero	4
	.globl	ch
	.data
	.type	ch, @object
	.size	ch, 6
ch:
	.string	"RG"
	.string	"BY"
	.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:

char ch[2][3]={"RG","BY"};i,j,n,m;main(k){scanf("%d%d%d",&n,&m,&k);for(;n/++i;puts(""))for(j=0;m/++j;)putchar(ch[(i+j+2000)/k%2][(i-j+2000)/k%2]);}
3 3 2
 3 3 3
 3 2 3
 1 2 3
 1 4 3
 1 4 5
 1 6 5
 1 6 4
 1 8 4
 1 1 4

BYG
BRG
GRB
 BBR
YRR
GGR
 BB
YR
GG
 BB
 BBRG
 RGGY
 RGGYYY
 RGYYYB
 RGYYYBRR
 R

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

```c
char ch[2][3]={"RG","BY"};i,j,n,m;main(k){scanf("%d%d%d",&n,&m,&k);for(;n/++i;puts(""))for(j=0;m/++j;)putchar(ch[(i+j+2000)/k%2][(i-j+2000)/k%2]);}```

Unoptimized Assembly Code:

```assembly
	.file	"temp.c"
	.text
	.globl	ch
	.data
	.type	ch, @object
	.size	ch, 6
ch:
	.string	"RG"
	.string	"BY"
	.globl	i
	.bss
	.align 4
	.type	i, @object
	.size	i, 4
i:
	.zero	4
	.globl	j
	.align 4
	.type	j, @object
	.size	j, 4
j:
	.zero	4
	.globl	n
	.align 4
	.type	n, @object
	.size	n, 4
n:
	.zero	4
	.globl	m
	.align 4
	.type	m, @object
	.size	m, 4
m:
	.zero	4
	.section	.rodata
.LC0:
	.string	"%d%d%d"
.LC1:
	.string	""
	.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	$16, %rsp
	movl	%edi, -4(%rbp)
	leaq	-4(%rbp), %rax
	movq	%rax, %rcx
	leaq	m(%rip), %rax
	movq	%rax, %rdx
	leaq	n(%rip), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	scanf@PLT
	jmp	.L2
.L5:
	movl	$0, j(%rip)
	jmp	.L3
.L4:
	movl	i(%rip), %edx
	movl	j(%rip), %eax
	addl	%edx, %eax
	addl	$2000, %eax
	movl	-4(%rbp), %esi
	cltd
	idivl	%esi
	movl	%eax, %edx
	movl	%edx, %eax
	sarl	$31, %eax
	shrl	$31, %eax
	movl	%eax, %ecx
	leal	(%rdx,%rcx), %eax
	andl	$1, %eax
	subl	%ecx, %eax
	movl	%eax, %esi
	movl	i(%rip), %eax
	movl	j(%rip), %edx
	subl	%edx, %eax
	addl	$2000, %eax
	movl	-4(%rbp), %edi
	cltd
	idivl	%edi
	movl	%eax, %edx
	movl	%edx, %eax
	sarl	$31, %eax
	shrl	$31, %eax
	movl	%eax, %ecx
	leal	(%rdx,%rcx), %eax
	andl	$1, %eax
	subl	%ecx, %eax
	movslq	%eax, %rcx
	movslq	%esi, %rdx
	movq	%rdx, %rax
	addq	%rax, %rax
	addq	%rdx, %rax
	leaq	(%rax,%rcx), %rdx
	leaq	ch(%rip), %rax
	addq	%rdx, %rax
	movzbl	(%rax), %eax
	movsbl	%al, %eax
	movl	%eax, %edi
	call	putchar@PLT
.L3:
	movl	m(%rip), %eax
	movl	j(%rip), %edx
	addl	$1, %edx
	movl	%edx, j(%rip)
	movl	j(%rip), %esi
	cltd
	idivl	%esi
	testl	%eax, %eax
	jne	.L4
	leaq	.LC1(%rip), %rax
	movq	%rax, %rdi
	call	puts@PLT
.L2:
	movl	n(%rip), %eax
	movl	i(%rip), %edx
	addl	$1, %edx
	movl	%edx, i(%rip)
	movl	i(%rip), %edi
	cltd
	idivl	%edi
	testl	%eax, %eax
	jne	.L5
	movl	$0, %eax
	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	ch
	.data
	.type	ch, @object
	.size	ch, 6
ch:
	.string	"RG"
	.string	"BY"
	.globl	i
	.bss
	.align 4
	.type	i, @object
	.size	i, 4
i:
	.zero	4
	.globl	j
	.align 4
	.type	j, @object
	.size	j, 4
j:
	.zero	4
	.globl	n
	.align 4
	.type	n, @object
	.size	n, 4
n:
	.zero	4
	.globl	m
	.align 4
	.type	m, @object
	.size	m, 4
m:
	.zero	4
	.section	.rodata
.LC0:
	.string	"%d%d%d"
.LC1:
	.string	""
	.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	$16, %rsp
	movl	%edi, -4(%rbp)
	leaq	-4(%rbp), %rax
	movq	%rax, %rcx
	leaq	m(%rip), %rax
	movq	%rax, %rdx
	leaq	n(%rip), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	scanf@PLT
	jmp	.L2
.L5:
	movl	$0, j(%rip)
	jmp	.L3
.L4:
	movl	i(%rip), %edx
	movl	j(%rip), %eax
	addl	%edx, %eax
	addl	$2000, %eax
	movl	-4(%rbp), %esi
	cltd
	idivl	%esi
	movl	%eax, %edx
	movl	%edx, %eax
	sarl	$31, %eax
	shrl	$31, %eax
	movl	%eax, %ecx
	leal	(%rdx,%rcx), %eax
	andl	$1, %eax
	subl	%ecx, %eax
	movl	%eax, %esi
	movl	i(%rip), %eax
	movl	j(%rip), %edx
	subl	%edx, %eax
	addl	$2000, %eax
	movl	-4(%rbp), %edi
	cltd
	idivl	%edi
	movl	%eax, %edx
	movl	%edx, %eax
	sarl	$31, %eax
	shrl	$31, %eax
	movl	%eax, %ecx
	leal	(%rdx,%rcx), %eax
	andl	$1, %eax
	subl	%ecx, %eax
	movslq	%eax, %rcx
	movslq	%esi, %rdx
	movq	%rdx, %rax
	addq	%rax, %rax
	addq	%rdx, %rax
	leaq	(%rax,%rcx), %rdx
	leaq	ch(%rip), %rax
	addq	%rdx, %rax
	movzbl	(%rax), %eax
	movsbl	%al, %eax
	movl	%eax, %edi
	call	putchar@PLT
.L3:
	movl	m(%rip), %eax
	movl	j(%rip), %edx
	addl	$1, %edx
	movl	%edx, j(%rip)
	movl	j(%rip), %esi
	cltd
	idivl	%esi
	testl	%eax, %eax
	jne	.L4
	leaq	.LC1(%rip), %rax
	movq	%rax, %rdi
	call	puts@PLT
.L2:
	movl	n(%rip), %eax
	movl	i(%rip), %edx
	addl	$1, %edx
	movl	%edx, i(%rip)
	movl	i(%rip), %edi
	cltd
	idivl	%edi
	testl	%eax, %eax
	jne	.L5
	movl	$0, %eax
	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:
