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

```c
main(n,k,a,b){for(scanf("%d%d",&n,&k),n--;k;k--){scanf("%d%d",&a,&b);a--,b--;if(a+b>=n)a=n-a,b=n-b;printf("%d\n",(a<b?a:b)%3+1);}exit(0);}```

Unoptimized Assembly Code:

```assembly
	.file	"temp.c"
	.text
	.section	.rodata
.LC0:
	.string	"%d%d"
.LC1:
	.string	"%d\n"
	.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)
	movl	%esi, -8(%rbp)
	movl	%edx, -12(%rbp)
	movl	%ecx, -16(%rbp)
	leaq	-8(%rbp), %rdx
	leaq	-4(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	scanf@PLT
	movl	-4(%rbp), %eax
	subl	$1, %eax
	movl	%eax, -4(%rbp)
	jmp	.L2
.L4:
	leaq	-16(%rbp), %rdx
	leaq	-12(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	scanf@PLT
	movl	-12(%rbp), %eax
	subl	$1, %eax
	movl	%eax, -12(%rbp)
	movl	-16(%rbp), %eax
	subl	$1, %eax
	movl	%eax, -16(%rbp)
	movl	-12(%rbp), %edx
	movl	-16(%rbp), %eax
	addl	%eax, %edx
	movl	-4(%rbp), %eax
	cmpl	%eax, %edx
	jl	.L3
	movl	-4(%rbp), %eax
	movl	-12(%rbp), %edx
	subl	%edx, %eax
	movl	%eax, -12(%rbp)
	movl	-4(%rbp), %eax
	movl	-16(%rbp), %edx
	subl	%edx, %eax
	movl	%eax, -16(%rbp)
.L3:
	movl	-16(%rbp), %edx
	movl	-12(%rbp), %eax
	cmpl	%eax, %edx
	cmovg	%eax, %edx
	movslq	%edx, %rax
	imulq	$1431655766, %rax, %rax
	shrq	$32, %rax
	movl	%edx, %ecx
	sarl	$31, %ecx
	subl	%ecx, %eax
	movl	%eax, %ecx
	addl	%ecx, %ecx
	addl	%eax, %ecx
	movl	%edx, %eax
	subl	%ecx, %eax
	addl	$1, %eax
	movl	%eax, %esi
	leaq	.LC1(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	printf@PLT
	movl	-8(%rbp), %eax
	subl	$1, %eax
	movl	%eax, -8(%rbp)
.L2:
	movl	-8(%rbp), %eax
	testl	%eax, %eax
	jne	.L4
	movl	$0, %edi
	call	exit@PLT
	.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"
.LC1:
	.string	"%d\n"
	.section	.text.startup,"ax",@progbits
	.p2align 4
	.globl	main
	.type	main, @function
main:
.LFB0:
	.cfi_startproc
	endbr64
	pushq	%r13
	.cfi_def_cfa_offset 16
	.cfi_offset 13, -16
	xorl	%eax, %eax
	pushq	%r12
	.cfi_def_cfa_offset 24
	.cfi_offset 12, -24
	pushq	%rbp
	.cfi_def_cfa_offset 32
	.cfi_offset 6, -32
	leaq	.LC1(%rip), %rbp
	pushq	%rbx
	.cfi_def_cfa_offset 40
	.cfi_offset 3, -40
	leaq	.LC0(%rip), %rbx
	subq	$24, %rsp
	.cfi_def_cfa_offset 64
	movl	%edi, 12(%rsp)
	movq	%rbx, %rdi
	movq	%rsp, %r13
	leaq	4(%rsp), %r12
	movl	%esi, 8(%rsp)
	leaq	12(%rsp), %rsi
	movl	%edx, 4(%rsp)
	leaq	8(%rsp), %rdx
	movl	%ecx, (%rsp)
	call	scanf@PLT
	movl	8(%rsp), %eax
	subl	$1, 12(%rsp)
	testl	%eax, %eax
	jne	.L2
	jmp	.L5
	.p2align 4,,10
	.p2align 3
.L15:
	movl	%ecx, %esi
	subl	%edx, %ecx
	subl	%eax, %esi
	movl	%ecx, (%rsp)
	cmpl	%ecx, %esi
	movl	%esi, 4(%rsp)
	cmovg	%ecx, %esi
	movslq	%esi, %rax
	movl	%esi, %edx
	imulq	$1431655766, %rax, %rax
	sarl	$31, %edx
	shrq	$32, %rax
	subl	%edx, %eax
	leal	(%rax,%rax,2), %eax
	subl	%eax, %esi
	addl	$1, %esi
.L13:
	xorl	%eax, %eax
	movq	%rbp, %rdi
	call	printf@PLT
	subl	$1, 8(%rsp)
	je	.L5
.L2:
	movq	%r13, %rdx
	movq	%r12, %rsi
	movq	%rbx, %rdi
	xorl	%eax, %eax
	call	scanf@PLT
	movl	4(%rsp), %eax
	movl	(%rsp), %edi
	movl	12(%rsp), %ecx
	subl	$1, %eax
	leal	-1(%rdi), %edx
	leal	(%rax,%rdx), %esi
	movl	%eax, 4(%rsp)
	movl	%edx, (%rsp)
	cmpl	%ecx, %esi
	jge	.L15
	cmpl	%edx, %eax
	cmovg	%edx, %eax
	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
	leal	1(%rax), %esi
	jmp	.L13
	.p2align 4,,10
	.p2align 3
.L5:
	xorl	%edi, %edi
	call	exit@PLT
	.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:

rule
	.file	"temp.c"
	.text
	.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:
.LFB0:
	.cfi_startproc
	endbr64
	pushq	%r13
	.cfi_def_cfa_offset 16
	.cfi_offset 13, -16
	xorl	%eax, %eax
	pushq	%r12
	.cfi_def_cfa_offset 24
	.cfi_offset 12, -24
	pushq	%rbp
	.cfi_def_cfa_offset 32
	.cfi_offset 6, -32
	leaq	.LC1(%rip), %rbp
	pushq	%rbx
	.cfi_def_cfa_offset 40
	.cfi_offset 3, -40
	leaq	.LC0(%rip), %rbx
	subq	$24, %rsp
	.cfi_def_cfa_offset 64
	movl	%edi, 12(%rsp)
	movq	%rbx, %rdi
	movq	%rsp, %r13
	leaq	4(%rsp), %r12
	movl	%esi, 8(%rsp)
	leaq	12(%rsp), %rsi
	movl	%edx, 4(%rsp)
	leaq	8(%rsp), %rdx
	movl	%ecx, (%rsp)
	call	scanf@PLT
	movl	8(%rsp), %eax
	subl	$1, 12(%rsp)
	testl	%eax, %eax
	jne	.L2
	jmp	.L5
	.p2align 4,,10
	.p2align 3
.L15:
	movl	%ecx, %esi
	subl	%edx, %ecx
	subl	%eax, %esi
	movl	%ecx, (%rsp)
	cmpl	%ecx, %esi
	movl	%esi, 4(%rsp)
	cmovg	%ecx, %esi
	movslq	%esi, %rax
	movl	%esi, %edx
	imulq	$1431655766, %rax, %rax
	sarl	$31, %edx
	shrq	$32, %rax
	subl	%edx, %eax
	leal	(%rax,%rax,2), %eax
	subl	%eax, %esi
	addl	$1, %esi
.L13:
	xorl	%eax, %eax
	movq	%rbp, %rdi
	call	printf@PLT
	subl	$1, 8(%rsp)
	je	.L5
.L2:
	movq	%r13, %rdx
	movq	%r12, %rsi
	movq	%rbx, %rdi
	xorl	%eax, %eax
	call	scanf@PLT
	movl	4(%rsp), %eax
	movl	(%rsp), %edi
	movl	12(%rsp), %ecx
	subl	$1, %eax
	leal	-1(%rdi), %edx
	leal	(%rax,%rdx), %esi
	movl	%eax, 4(%rsp)
	movl	%edx, (%rsp)
	cmpl	%ecx, %esi
	jge	.L15
	cmpl	%edx, %eax
	cmovg	%edx, %eax
	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
	leal	1(%rax), %esi
	jmp	.L13
	.p2align 4,,10
	.p2align 3
.L5:
	xorl	%edi, %edi
	call	exit@PLT
	.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:

main(n,k,a,b){for(scanf("%d%d",&n,&k),n--;k;k--){scanf("%d%d",&a,&b);a--,b--;if(a+b>=n)a=n-a,b=n-b;printf("%d\n",(a<b?a:b)%3+1);}exit(0);}
11
4
5 2
9 7
4 4
3 9

2
3
1
3

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

```c
main(n,k,a,b){for(scanf("%d%d",&n,&k),n--;k;k--){scanf("%d%d",&a,&b);a--,b--;if(a+b>=n)a=n-a,b=n-b;printf("%d\n",(a<b?a:b)%3+1);}exit(0);}```

Unoptimized Assembly Code:

```assembly
	.file	"temp.c"
	.text
	.section	.rodata
.LC0:
	.string	"%d%d"
.LC1:
	.string	"%d\n"
	.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)
	movl	%esi, -8(%rbp)
	movl	%edx, -12(%rbp)
	movl	%ecx, -16(%rbp)
	leaq	-8(%rbp), %rdx
	leaq	-4(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	scanf@PLT
	movl	-4(%rbp), %eax
	subl	$1, %eax
	movl	%eax, -4(%rbp)
	jmp	.L2
.L4:
	leaq	-16(%rbp), %rdx
	leaq	-12(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	scanf@PLT
	movl	-12(%rbp), %eax
	subl	$1, %eax
	movl	%eax, -12(%rbp)
	movl	-16(%rbp), %eax
	subl	$1, %eax
	movl	%eax, -16(%rbp)
	movl	-12(%rbp), %edx
	movl	-16(%rbp), %eax
	addl	%eax, %edx
	movl	-4(%rbp), %eax
	cmpl	%eax, %edx
	jl	.L3
	movl	-4(%rbp), %eax
	movl	-12(%rbp), %edx
	subl	%edx, %eax
	movl	%eax, -12(%rbp)
	movl	-4(%rbp), %eax
	movl	-16(%rbp), %edx
	subl	%edx, %eax
	movl	%eax, -16(%rbp)
.L3:
	movl	-16(%rbp), %edx
	movl	-12(%rbp), %eax
	cmpl	%eax, %edx
	cmovg	%eax, %edx
	movslq	%edx, %rax
	imulq	$1431655766, %rax, %rax
	shrq	$32, %rax
	movl	%edx, %ecx
	sarl	$31, %ecx
	subl	%ecx, %eax
	movl	%eax, %ecx
	addl	%ecx, %ecx
	addl	%eax, %ecx
	movl	%edx, %eax
	subl	%ecx, %eax
	addl	$1, %eax
	movl	%eax, %esi
	leaq	.LC1(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	printf@PLT
	movl	-8(%rbp), %eax
	subl	$1, %eax
	movl	%eax, -8(%rbp)
.L2:
	movl	-8(%rbp), %eax
	testl	%eax, %eax
	jne	.L4
	movl	$0, %edi
	call	exit@PLT
	.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
	.section	.rodata
.LC0:
	.string	"%d%d"
.LC1:
	.string	"%d\n"
	.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)
	movl	%esi, -8(%rbp)
	movl	%edx, -12(%rbp)
	movl	%ecx, -16(%rbp)
	leaq	-8(%rbp), %rdx
	leaq	-4(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	scanf@PLT
	movl	-4(%rbp), %eax
	subl	$1, %eax
	movl	%eax, -4(%rbp)
	jmp	.L2
.L4:
	leaq	-16(%rbp), %rdx
	leaq	-12(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	scanf@PLT
	movl	-12(%rbp), %eax
	subl	$1, %eax
	movl	%eax, -12(%rbp)
	movl	-16(%rbp), %eax
	subl	$1, %eax
	movl	%eax, -16(%rbp)
	movl	-12(%rbp), %edx
	movl	-16(%rbp), %eax
	addl	%eax, %edx
	movl	-4(%rbp), %eax
	cmpl	%eax, %edx
	jl	.L3
	movl	-4(%rbp), %eax
	movl	-12(%rbp), %edx
	subl	%edx, %eax
	movl	%eax, -12(%rbp)
	movl	-4(%rbp), %eax
	movl	-16(%rbp), %edx
	subl	%edx, %eax
	movl	%eax, -16(%rbp)
.L3:
	movl	-16(%rbp), %edx
	movl	-12(%rbp), %eax
	cmpl	%eax, %edx
	cmovg	%eax, %edx
	movslq	%edx, %rax
	imulq	$1431655766, %rax, %rax
	shrq	$32, %rax
	movl	%edx, %ecx
	sarl	$31, %ecx
	subl	%ecx, %eax
	movl	%eax, %ecx
	addl	%ecx, %ecx
	addl	%eax, %ecx
	movl	%edx, %eax
	subl	%ecx, %eax
	addl	$1, %eax
	movl	%eax, %esi
	leaq	.LC1(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	printf@PLT
	movl	-8(%rbp), %eax
	subl	$1, %eax
	movl	%eax, -8(%rbp)
.L2:
	movl	-8(%rbp), %eax
	testl	%eax, %eax
	jne	.L4
	movl	$0, %edi
	call	exit@PLT
	.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:
