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

```c
char buf[5],out[2<<17];
sz,outsz;
i,j;
N;
main(){
	read(0,buf,5);
	for(;;)
	{
		char k=buf[sz++];
		if(k<'0')break;
		N=N*10+k-'0';
	}
	for(;i++<N;)for(j=i;j++<N;)
	{
		out[outsz++]=__builtin_ffs(i^j)+'0';
		out[outsz++]='\n';
	}
	write(1,out,outsz);
}
```

Unoptimized Assembly Code:

```assembly
	.file	"temp.c"
	.text
	.globl	buf
	.bss
	.type	buf, @object
	.size	buf, 5
buf:
	.zero	5
	.globl	out
	.align 32
	.type	out, @object
	.size	out, 262144
out:
	.zero	262144
	.globl	sz
	.align 4
	.type	sz, @object
	.size	sz, 4
sz:
	.zero	4
	.globl	outsz
	.align 4
	.type	outsz, @object
	.size	outsz, 4
outsz:
	.zero	4
	.globl	i
	.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
	.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	$5, %edx
	leaq	buf(%rip), %rax
	movq	%rax, %rsi
	movl	$0, %edi
	movl	$0, %eax
	call	read@PLT
.L4:
	movl	sz(%rip), %eax
	leal	1(%rax), %edx
	movl	%edx, sz(%rip)
	cltq
	leaq	buf(%rip), %rdx
	movzbl	(%rax,%rdx), %eax
	movb	%al, -1(%rbp)
	cmpb	$47, -1(%rbp)
	jle	.L11
	movl	N(%rip), %edx
	movl	%edx, %eax
	sall	$2, %eax
	addl	%edx, %eax
	addl	%eax, %eax
	movl	%eax, %edx
	movsbl	-1(%rbp), %eax
	addl	%edx, %eax
	subl	$48, %eax
	movl	%eax, N(%rip)
	jmp	.L4
.L11:
	nop
	jmp	.L5
.L8:
	movl	i(%rip), %eax
	movl	%eax, j(%rip)
	jmp	.L6
.L7:
	movl	i(%rip), %edx
	movl	j(%rip), %eax
	xorl	%edx, %eax
	movl	$-1, %edx
	bsfl	%eax, %eax
	cmove	%edx, %eax
	addl	$1, %eax
	leal	48(%rax), %ecx
	movl	outsz(%rip), %eax
	leal	1(%rax), %edx
	movl	%edx, outsz(%rip)
	cltq
	leaq	out(%rip), %rdx
	movb	%cl, (%rax,%rdx)
	movl	outsz(%rip), %eax
	leal	1(%rax), %edx
	movl	%edx, outsz(%rip)
	cltq
	leaq	out(%rip), %rdx
	movb	$10, (%rax,%rdx)
.L6:
	movl	j(%rip), %eax
	leal	1(%rax), %edx
	movl	%edx, j(%rip)
	movl	N(%rip), %edx
	cmpl	%edx, %eax
	jl	.L7
.L5:
	movl	i(%rip), %eax
	leal	1(%rax), %edx
	movl	%edx, i(%rip)
	movl	N(%rip), %edx
	cmpl	%edx, %eax
	jl	.L8
	movl	outsz(%rip), %eax
	movl	%eax, %edx
	leaq	out(%rip), %rax
	movq	%rax, %rsi
	movl	$1, %edi
	movl	$0, %eax
	call	write@PLT
	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	.text.startup,"ax",@progbits
	.p2align 4
	.globl	main
	.type	main, @function
main:
.LFB0:
	.cfi_startproc
	endbr64
	pushq	%r12
	.cfi_def_cfa_offset 16
	.cfi_offset 12, -16
	movl	$5, %edx
	xorl	%edi, %edi
	xorl	%eax, %eax
	pushq	%rbp
	.cfi_def_cfa_offset 24
	.cfi_offset 6, -24
	pushq	%rbx
	.cfi_def_cfa_offset 32
	.cfi_offset 3, -32
	leaq	buf(%rip), %rbx
	movq	%rbx, %rsi
	call	read@PLT
	movslq	sz(%rip), %rdx
	leal	1(%rdx), %ecx
	movq	%rdx, %rax
	movsbl	(%rbx,%rdx), %edx
	movl	%ecx, sz(%rip)
	cmpb	$47, %dl
	jle	.L29
	movl	N(%rip), %esi
	movslq	%ecx, %rcx
	movsbl	(%rbx,%rcx), %ecx
	leal	(%rsi,%rsi,4), %esi
	leal	-48(%rdx,%rsi,2), %edi
	leal	2(%rax), %edx
	cmpb	$47, %cl
	jle	.L5
	movslq	%edx, %rdx
	leal	(%rdi,%rdi,4), %esi
	movsbl	(%rbx,%rdx), %edx
	leal	-48(%rcx,%rsi,2), %edi
	leal	3(%rax), %ecx
	cmpb	$47, %dl
	jle	.L17
	leal	(%rdi,%rdi,4), %esi
	movslq	%ecx, %rcx
	leal	-48(%rdx,%rsi,2), %edi
	movsbl	(%rbx,%rcx), %edx
	leal	4(%rax), %esi
	cmpb	$47, %dl
	jle	.L18
	imull	$10, %edi, %edi
	movslq	%esi, %rsi
	movsbl	(%rbx,%rsi), %ecx
	leal	-48(%rdi,%rdx), %edi
	leal	5(%rax), %edx
	cmpb	$47, %cl
	jle	.L5
	imull	$10, %edi, %edi
	leal	6(%rax), %edx
	leal	-48(%rdi,%rcx), %edi
.L5:
	movl	%edi, N(%rip)
	movl	%edx, sz(%rip)
.L6:
	movl	i(%rip), %eax
	movl	outsz(%rip), %r12d
	leaq	out(%rip), %rbp
	leal	1(%rax), %r10d
	movl	%r12d, %r11d
	movl	%r10d, i(%rip)
	cmpl	%edi, %eax
	jge	.L4
	cmpl	%edi, %r10d
	jge	.L19
	leaq	out(%rip), %rbp
	leal	1(%rdi), %ebx
	movl	$-1, %r9d
	.p2align 4,,10
	.p2align 3
.L9:
	movl	%r10d, %r8d
	movslq	%r11d, %rdx
	addl	$1, %r10d
	addq	%rbp, %rdx
	movl	%r10d, %ecx
	.p2align 4,,10
	.p2align 3
.L8:
	movl	%ecx, %eax
	movl	%ecx, %esi
	movb	$10, 1(%rdx)
	xorl	%r8d, %eax
	bsfl	%eax, %eax
	cmove	%r9d, %eax
	addl	$1, %ecx
	addq	$2, %rdx
	addl	$49, %eax
	movb	%al, -2(%rdx)
	cmpl	%edi, %esi
	jl	.L8
	movl	%edi, %eax
	subl	%r10d, %eax
	leal	2(%r11,%rax,2), %r11d
	cmpl	%edi, %r10d
	jl	.L9
	movl	$1, %esi
	cmpl	%edi, %r8d
	jge	.L30
.L7:
	movl	%edi, %eax
	movl	$1, %edx
	subl	%r10d, %eax
	cmpl	%r10d, %edi
	leal	1(%rax), %ecx
	cmovl	%edx, %ecx
	jl	.L11
	cmpl	$2, %eax
	jbe	.L11
	movd	%r10d, %xmm4
	movl	%ecx, %edx
	xorl	%eax, %eax
	movdqa	.LC1(%rip), %xmm3
	pshufd	$0, %xmm4, %xmm1
	movdqa	.LC2(%rip), %xmm2
	paddd	.LC0(%rip), %xmm1
	shrl	$2, %edx
	.p2align 4,,10
	.p2align 3
.L12:
	movdqa	%xmm1, %xmm0
	addl	$1, %eax
	paddd	%xmm3, %xmm1
	paddd	%xmm2, %xmm0
	cmpl	%edx, %eax
	jne	.L12
	movl	%ecx, %edx
	pshufd	$255, %xmm0, %xmm0
	andl	$-4, %edx
	movd	%xmm0, %eax
	addl	%edx, %r10d
	cmpl	%edx, %ecx
	je	.L16
.L11:
	leal	1(%r10), %eax
	cmpl	%edi, %r10d
	jge	.L16
	leal	2(%r10), %edx
	cmpl	%edi, %eax
	jge	.L20
	leal	3(%r10), %eax
.L16:
	movl	%eax, j(%rip)
	movl	%ebx, i(%rip)
	testb	%sil, %sil
	je	.L4
.L14:
	movl	%r11d, outsz(%rip)
	movl	%r11d, %r12d
.L4:
	movl	%r12d, %edx
	movq	%rbp, %rsi
	movl	$1, %edi
	xorl	%eax, %eax
	call	write@PLT
	popq	%rbx
	.cfi_remember_state
	.cfi_def_cfa_offset 24
	xorl	%eax, %eax
	popq	%rbp
	.cfi_def_cfa_offset 16
	popq	%r12
	.cfi_def_cfa_offset 8
	ret
	.p2align 4,,10
	.p2align 3
.L19:
	.cfi_restore_state
	xorl	%esi, %esi
	leaq	out(%rip), %rbp
	leal	1(%rdi), %ebx
	jmp	.L7
.L30:
	movl	%ebx, j(%rip)
	movl	%ebx, i(%rip)
	jmp	.L14
.L29:
	movl	N(%rip), %edi
	jmp	.L6
.L17:
	movl	%ecx, %edx
	jmp	.L5
.L18:
	movl	%esi, %edx
	jmp	.L5
.L20:
	movl	%edx, %eax
	jmp	.L16
	.cfi_endproc
.LFE0:
	.size	main, .-main
	.globl	N
	.bss
	.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	outsz
	.align 4
	.type	outsz, @object
	.size	outsz, 4
outsz:
	.zero	4
	.globl	sz
	.align 4
	.type	sz, @object
	.size	sz, 4
sz:
	.zero	4
	.globl	out
	.align 32
	.type	out, @object
	.size	out, 262144
out:
	.zero	262144
	.globl	buf
	.type	buf, @object
	.size	buf, 5
buf:
	.zero	5
	.section	.rodata.cst16,"aM",@progbits,16
	.align 16
.LC0:
	.long	0
	.long	1
	.long	2
	.long	3
	.align 16
.LC1:
	.long	4
	.long	4
	.long	4
	.long	4
	.align 16
.LC2:
	.long	1
	.long	1
	.long	1
	.long	1
	.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	.text.startup,"ax",@progbits
	.p2align 4
	.globl	main
	.type	main, @function
main:
.LFB0:
	.cfi_startproc
	endbr64
	pushq	%r12
	.cfi_def_cfa_offset 16
	.cfi_offset 12, -16
	movl	$5, %edx
	xorl	%edi, %edi
	xorl	%eax, %eax
	pushq	%rbp
	.cfi_def_cfa_offset 24
	.cfi_offset 6, -24
	pushq	%rbx
	.cfi_def_cfa_offset 32
	.cfi_offset 3, -32
	leaq	buf(%rip), %rbx
	movq	%rbx, %rsi
	call	read@PLT
	movslq	sz(%rip), %rdx
	leal	1(%rdx), %ecx
	movq	%rdx, %rax
	movsbl	(%rbx,%rdx), %edx
	movl	%ecx, sz(%rip)
	cmpb	$47, %dl
	jle	.L29
	movl	N(%rip), %esi
	movslq	%ecx, %rcx
	movsbl	(%rbx,%rcx), %ecx
	leal	(%rsi,%rsi,4), %esi
	leal	-48(%rdx,%rsi,2), %edi
	leal	2(%rax), %edx
	cmpb	$47, %cl
	jle	.L5
	movslq	%edx, %rdx
	leal	(%rdi,%rdi,4), %esi
	movsbl	(%rbx,%rdx), %edx
	leal	-48(%rcx,%rsi,2), %edi
	leal	3(%rax), %ecx
	cmpb	$47, %dl
	jle	.L17
	leal	(%rdi,%rdi,4), %esi
	movslq	%ecx, %rcx
	leal	-48(%rdx,%rsi,2), %edi
	movsbl	(%rbx,%rcx), %edx
	leal	4(%rax), %esi
	cmpb	$47, %dl
	jle	.L18
	imull	$10, %edi, %edi
	movslq	%esi, %rsi
	movsbl	(%rbx,%rsi), %ecx
	leal	-48(%rdi,%rdx), %edi
	leal	5(%rax), %edx
	cmpb	$47, %cl
	jle	.L5
	imull	$10, %edi, %edi
	leal	6(%rax), %edx
	leal	-48(%rdi,%rcx), %edi
.L5:
	movl	%edi, N(%rip)
	movl	%edx, sz(%rip)
.L6:
	movl	i(%rip), %eax
	movl	outsz(%rip), %r12d
	leaq	out(%rip), %rbp
	leal	1(%rax), %r10d
	movl	%r12d, %r11d
	movl	%r10d, i(%rip)
	cmpl	%edi, %eax
	jge	.L4
	cmpl	%edi, %r10d
	jge	.L19
	leaq	out(%rip), %rbp
	leal	1(%rdi), %ebx
	movl	$-1, %r9d
	.p2align 4,,10
	.p2align 3
.L9:
	movl	%r10d, %r8d
	movslq	%r11d, %rdx
	addl	$1, %r10d
	addq	%rbp, %rdx
	movl	%r10d, %ecx
	.p2align 4,,10
	.p2align 3
.L8:
	movl	%ecx, %eax
	movl	%ecx, %esi
	movb	$10, 1(%rdx)
	xorl	%r8d, %eax
	bsfl	%eax, %eax
	cmove	%r9d, %eax
	addl	$1, %ecx
	addq	$2, %rdx
	addl	$49, %eax
	movb	%al, -2(%rdx)
	cmpl	%edi, %esi
	jl	.L8
	movl	%edi, %eax
	subl	%r10d, %eax
	leal	2(%r11,%rax,2), %r11d
	cmpl	%edi, %r10d
	jl	.L9
	movl	$1, %esi
	cmpl	%edi, %r8d
	jge	.L30
.L7:
	movl	%edi, %eax
	movl	$1, %edx
	subl	%r10d, %eax
	cmpl	%r10d, %edi
	leal	1(%rax), %ecx
	cmovl	%edx, %ecx
	jl	.L11
	cmpl	$2, %eax
	jbe	.L11
	movd	%r10d, %xmm4
	movl	%ecx, %edx
	xorl	%eax, %eax
	movdqa	.LC1(%rip), %xmm3
	pshufd	$0, %xmm4, %xmm1
	movdqa	.LC2(%rip), %xmm2
	paddd	.LC0(%rip), %xmm1
	shrl	$2, %edx
	.p2align 4,,10
	.p2align 3
.L12:
	movdqa	%xmm1, %xmm0
	addl	$1, %eax
	paddd	%xmm3, %xmm1
	paddd	%xmm2, %xmm0
	cmpl	%edx, %eax
	jne	.L12
	movl	%ecx, %edx
	pshufd	$255, %xmm0, %xmm0
	andl	$-4, %edx
	movd	%xmm0, %eax
	addl	%edx, %r10d
	cmpl	%edx, %ecx
	je	.L16
.L11:
	leal	1(%r10), %eax
	cmpl	%edi, %r10d
	jge	.L16
	leal	2(%r10), %edx
	cmpl	%edi, %eax
	jge	.L20
	leal	3(%r10), %eax
.L16:
	movl	%eax, j(%rip)
	movl	%ebx, i(%rip)
	testb	%sil, %sil
	je	.L4
.L14:
	movl	%r11d, outsz(%rip)
	movl	%r11d, %r12d
.L4:
	movl	%r12d, %edx
	movq	%rbp, %rsi
	movl	$1, %edi
	xorl	%eax, %eax
	call	write@PLT
	popq	%rbx
	.cfi_remember_state
	.cfi_def_cfa_offset 24
	xorl	%eax, %eax
	popq	%rbp
	.cfi_def_cfa_offset 16
	popq	%r12
	.cfi_def_cfa_offset 8
	ret
	.p2align 4,,10
	.p2align 3
.L19:
	.cfi_restore_state
	xorl	%esi, %esi
	leaq	out(%rip), %rbp
	leal	1(%rdi), %ebx
	jmp	.L7
.L30:
	movl	%ebx, j(%rip)
	movl	%ebx, i(%rip)
	jmp	.L14
.L29:
	movl	N(%rip), %edi
	jmp	.L6
.L17:
	movl	%ecx, %edx
	jmp	.L5
.L18:
	movl	%esi, %edx
	jmp	.L5
.L20:
	movl	%edx, %eax
	jmp	.L16
	.cfi_endproc
.LFE0:
	.size	main, .-main
	.globl	N
	.bss
	.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	outsz
	.align 4
	.type	outsz, @object
	.size	outsz, 4
outsz:
	.zero	4
	.globl	sz
	.align 4
	.type	sz, @object
	.size	sz, 4
sz:
	.zero	4
	.globl	out
	.align 32
	.type	out, @object
	.size	out, 262144
out:
	.zero	262144
	.globl	buf
	.type	buf, @object
	.size	buf, 5
buf:
	.zero	5
	.section	.rodata.cst16,"aM",@progbits,16
	.align 16
.LC0:
	.long	0
	.long	1
	.long	2
	.long	3
	.align 16
.LC1:
	.long	4
	.long	4
	.long	4
	.long	4
	.align 16
.LC2:
	.long	1
	.long	1
	.long	1
	.long	1
	.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 buf[5],out[2<<17];
sz,outsz;
i,j;
N;
main(){
	read(0,buf,5);
	for(;;)
	{
		char k=buf[sz++];
		if(k<'0')break;
		N=N*10+k-'0';
	}
	for(;i++<N;)for(j=i;j++<N;)
	{
		out[outsz++]=__builtin_ffs(i^j)+'0';
		out[outsz++]='\n';
	}
	write(1,out,outsz);
}

5
 10
 11
 17
 2
 28
 4
 56
 7
 18

1
2
1
3
1
2
1
1
2
1
 1
2
1
3
1
2
1
4
1
1
2
1
3
1
2
1
4
1
2
1
3
1
2
1
1
2
1
3
1
2
1
2
1
3
1
1
2
1
3
1
2
1
1
2
1
 1
2
1
3
1
2
1
4
1
2
1
2
1
3
1
2
1
4
1
1
2
1
3
1
2
1
4
1
2
1
3
1
2
1
1
2
1
3
1
2
1
2
1
3
1
1
2
1
3
1
2
1
1
2
1
 1
2
1
3
1
2
1
4
1
2
1
3
1
2
1
5
1
2
1
3
1
2
1
4
1
2
1
3
1
2
1
1
2
1
3
1
2
1
4
1
2
1
3
1
2
1
2
1
3
1
2
1
4
1
2
1
3
1
1
2
1
3
1
2
1
4
1
2
1
3
1
2
1
3
1
2
1
4
1
2
1
1
2
1
3
1
2
1
4
1
2
1
2
1
3
1
2
1
4
1
1
2
1
3
1
2
1
4
1
2
1
3
1
2
1
1
2
1
3
1
2
1
2
1
3
1
1
2
1
3
1
2
1
1
2
1
 1
 1
2
1
3
1
2
1
4
1
2
1
3
1
2
1
5
1
2
1
3
1
2
1
4
1
2
1
1
2
1
3
1
2
1
4
1
2
1
3
1
2
1
5
1
2
1
3
1
2
1
4
1
2
1
2
1
3
1
2
1
4
1
2
1
3
1
2
1
5
1
2
1
3
1
2
1
4
1
1
2
1
3
1
2
1
4
1
2
1
3
1
2
1
5
1
2
1
3
1
2
1
4
1
2
1
3
1
2
1
4
1
2
1
3
1
2
1
5
1
2
1
3
1
2
1
1
2
1
3
1
2
1
4
1
2
1
3
1
2
1
5
1
2
1
3
1
2
1
2
1
3
1
2
1
4
1
2
1
3
1
2
1
5
1
2
1
3
1
1
2
1
3
1
2
1
4
1
2
1
3
1
2
1
5
1
2
1
3
1
2
1
3
1
2
1
4
1
2
1
3
1
2
1
5
1
2
1
1
2
1
3
1
2
1
4
1
2
1
3
1
2
1
5
1
2
1
2
1
3
1
2
1
4
1
2
1
3
1
2
1
5
1
1
2
1
3
1
2
1
4
1
2
1
3
1
2
1
5
1
2
1
3
1
2
1
4
1
2
1
3
1
2
1
1
2
1
3
1
2
1
4
1
2
1
3
1
2
1
2
1
3
1
2
1
4
1
2
1
3
1
1
2
1
3
1
2
1
4
1
2
1
3
1
2
1
3
1
2
1
4
1
2
1
1
2
1
3
1
2
1
4
1
2
1
2
1
3
1
2
1
4
1
1
2
1
3
1
2
1
4
1
2
1
3
1
2
1
1
2
1
3
1
2
1
2
1
3
1
1
2
1
3
1
2
1
1
2
1
 1
2
1
1
2
1
 1
2
1
3
1
2
1
4
1
2
1
3
1
2
1
5
1
2
1
3
1
2
1
4
1
2
1
3
1
2
1
6
1
2
1
3
1
2
1
4
1
2
1
3
1
2
1
5
1
2
1
3
1
2
1
1
2
1
3
1
2
1
4
1
2
1
3
1
2
1
5
1
2
1
3
1
2
1
4
1
2
1
3
1
2
1
6
1
2
1
3
1
2
1
4
1
2
1
3
1
2
1
5
1
2
1
3
1
2
1
2
1
3
1
2
1
4
1
2
1
3
1
2
1
5
1
2
1
3
1
2
1
4
1
2
1
3
1
2
1
6
1
2
1
3
1
2
1
4
1
2
1
3
1
2
1
5
1
2
1
3
1
1
2
1
3
1
2
1
4
1
2
1
3
1
2
1
5
1
2
1
3
1
2
1
4
1
2
1
3
1
2
1
6
1
2
1
3
1
2
1
4
1
2
1
3
1
2
1
5
1
2
1
3
1
2
1
3
1
2
1
4
1
2
1
3
1
2
1
5
1
2
1
3
1
2
1
4
1
2
1
3
1
2
1
6
1
2
1
3
1
2
1
4
1
2
1
3
1
2
1
5
1
2
1
1
2
1
3
1
2
1
4
1
2
1
3
1
2
1
5
1
2
1
3
1
2
1
4
1
2
1
3
1
2
1
6
1
2
1
3
1
2
1
4
1
2
1
3
1
2
1
5
1
2
1
2
1
3
1
2
1
4
1
2
1
3
1
2
1
5
1
2
1
3
1
2
1
4
1
2
1
3
1
2
1
6
1
2
1
3
1
2
1
4
1
2
1
3
1
2
1
5
1
1
2
1
3
1
2
1
4
1
2
1
3
1
2
1
5
1
2
1
3
1
2
1
4
1
2
1
3
1
2
1
6
1
2
1
3
1
2
1
4
1
2
1
3
1
2
1
5
1
2
1
3
1
2
1
4
1
2
1
3
1
2
1
5
1
2
1
3
1
2
1
4
1
2
1
3
1
2
1
6
1
2
1
3
1
2
1
4
1
2
1
3
1
2
1
1
2
1
3
1
2
1
4
1
2
1
3
1
2
1
5
1
2
1
3
1
2
1
4
1
2
1
3
1
2
1
6
1
2
1
3
1
2
1
4
1
2
1
3
1
2
1
2
1
3
1
2
1
4
1
2
1
3
1
2
1
5
1
2
1
3
1
2
1
4
1
2
1
3
1
2
1
6
1
2
1
3
1
2
1
4
1
2
1
3
1
1
2
1
3
1
2
1
4
1
2
1
3
1
2
1
5
1
2
1
3
1
2
1
4
1
2
1
3
1
2
1
6
1
2
1
3
1
2
1
4
1
2
1
3
1
2
1
3
1
2
1
4
1
2
1
3
1
2
1
5
1
2
1
3
1
2
1
4
1
2
1
3
1
2
1
6
1
2
1
3
1
2
1
4
1
2
1
1
2
1
3
1
2
1
4
1
2
1
3
1
2
1
5
1
2
1
3
1
2
1
4
1
2
1
3
1
2
1
6
1
2
1
3
1
2
1
4
1
2
1
2
1
3
1
2
1
4
1
2
1
3
1
2
1
5
1
2
1
3
1
2
1
4
1
2
1
3
1
2
1
6
1
2
1
3
1
2
1
4
1
1
2
1
3
1
2
1
4
1
2
1
3
1
2
1
5
1
2
1
3
1
2
1
4
1
2
1
3
1
2
1
6
1
2
1
3
1
2
1
4
1
2
1
3
1
2
1
4
1
2
1
3
1
2
1
5
1
2
1
3
1
2
1
4
1
2
1
3
1
2
1
6
1
2
1
3
1
2
1
1
2
1
3
1
2
1
4
1
2
1
3
1
2
1
5
1
2
1
3
1
2
1
4
1
2
1
3
1
2
1
6
1
2
1
3
1
2
1
2
1
3
1
2
1
4
1
2
1
3
1
2
1
5
1
2
1
3
1
2
1
4
1
2
1
3
1
2
1
6
1
2
1
3
1
1
2
1
3
1
2
1
4
1
2
1
3
1
2
1
5
1
2
1
3
1
2
1
4
1
2
1
3
1
2
1
6
1
2
1
3
1
2
1
3
1
2
1
4
1
2
1
3
1
2
1
5
1
2
1
3
1
2
1
4
1
2
1
3
1
2
1
6
1
2
1
1
2
1
3
1
2
1
4
1
2
1
3
1
2
1
5
1
2
1
3
1
2
1
4
1
2
1
3
1
2
1
6
1
2
1
2
1
3
1
2
1
4
1
2
1
3
1
2
1
5
1
2
1
3
1
2
1
4
1
2
1
3
1
2
1
6
1
1
2
1
3
1
2
1
4
1
2
1
3
1
2
1
5
1
2
1
3
1
2
1
4
1
2
1
3
1
2
1
6
1
2
1
3
1
2
1
4
1
2
1
3
1
2
1
5
1
2
1
3
1
2
1
4
1
2
1
3
1
2
1
1
2
1
3
1
2
1
4
1
2
1
3
1
2
1
5
1
2
1
3
1
2
1
4
1
2
1
3
1
2
1
2
1
3
1
2
1
4
1
2
1
3
1
2
1
5
1
2
1
3
1
2
1
4
1
2
1
3
1
1
2
1
3
1
2
1
4
1
2
1
3
1
2
1
5
1
2
1
3
1
2
1
4
1
2
1
3
1
2
1
3
1
2
1
4
1
2
1
3
1
2
1
5
1
2
1
3
1
2
1
4
1
2
1
1
2
1
3
1
2
1
4
1
2
1
3
1
2
1
5
1
2
1
3
1
2
1
4
1
2
1
2
1
3
1
2
1
4
1
2
1
3
1
2
1
5
1
2
1
3
1
2
1
4
1
1
2
1
3
1
2
1
4
1
2
1
3
1
2
1
5
1
2
1
3
1
2
1
4
1
2
1
3
1
2
1
4
1
2
1
3
1
2
1
5
1
2
1
3
1
2
1
1
2
1
3
1
2
1
4
1
2
1
3
1
2
1
5
1
2
1
3
1
2
1
2
1
3
1
2
1
4
1
2
1
3
1
2
1
5
1
2
1
3
1
1
2
1
3
1
2
1
4
1
2
1
3
1
2
1
5
1
2
1
3
1
2
1
3
1
2
1
4
1
2
1
3
1
2
1
5
1
2
1
1
2
1
3
1
2
1
4
1
2
1
3
1
2
1
5
1
2
1
2
1
3
1
2
1
4
1
2
1
3
1
2
1
5
1
1
2
1
3
1
2
1
4
1
2
1
3
1
2
1
5
1
2
1
3
1
2
1
4
1
2
1
3
1
2
1
1
2
1
3
1
2
1
4
1
2
1
3
1
2
1
2
1
3
1
2
1
4
1
2
1
3
1
1
2
1
3
1
2
1
4
1
2
1
3
1
2
1
3
1
2
1
4
1
2
1
1
2
1
3
1
2
1
4
1
2
1
2
1
3
1
2
1
4
1
1
2
1
3
1
2
1
4
1
2
1
3
1
2
1
1
2
1
3
1
2
1
2
1
3
1
1
2
1
3
1
2
1
1
2
1
 1
2
1
3
1
2
1
2
1
3
1
1
2
1
3
1
2
1
1
2
1
 1
2
1
3
1
2
1
4
1
2
1
3
1
2
1
5
1
1
2
1
3
1
2
1
4
1
2
1
3
1
2
1
5
1
2
1
3
1
2
1
4
1
2
1
3
1
2
1
1
2
1
3
1
2
1
4
1
2
1
3
1
2
1
2
1
3
1
2
1
4
1
2
1
3
1
1
2
1
3
1
2
1
4
1
2
1
3
1
2
1
3
1
2
1
4
1
2
1
1
2
1
3
1
2
1
4
1
2
1
2
1
3
1
2
1
4
1
1
2
1
3
1
2
1
4
1
2
1
3
1
2
1
1
2
1
3
1
2
1
2
1
3
1
1
2
1
3
1
2
1
1
2
1

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

```c
char buf[5],out[2<<17];
sz,outsz;
i,j;
N;
main(){
	read(0,buf,5);
	for(;;)
	{
		char k=buf[sz++];
		if(k<'0')break;
		N=N*10+k-'0';
	}
	for(;i++<N;)for(j=i;j++<N;)
	{
		out[outsz++]=__builtin_ffs(i^j)+'0';
		out[outsz++]='\n';
	}
	write(1,out,outsz);
}
```

Unoptimized Assembly Code:

```assembly
	.file	"temp.c"
	.text
	.globl	buf
	.bss
	.type	buf, @object
	.size	buf, 5
buf:
	.zero	5
	.globl	out
	.align 32
	.type	out, @object
	.size	out, 262144
out:
	.zero	262144
	.globl	sz
	.align 4
	.type	sz, @object
	.size	sz, 4
sz:
	.zero	4
	.globl	outsz
	.align 4
	.type	outsz, @object
	.size	outsz, 4
outsz:
	.zero	4
	.globl	i
	.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
	.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	$5, %edx
	leaq	buf(%rip), %rax
	movq	%rax, %rsi
	movl	$0, %edi
	movl	$0, %eax
	call	read@PLT
.L4:
	movl	sz(%rip), %eax
	leal	1(%rax), %edx
	movl	%edx, sz(%rip)
	cltq
	leaq	buf(%rip), %rdx
	movzbl	(%rax,%rdx), %eax
	movb	%al, -1(%rbp)
	cmpb	$47, -1(%rbp)
	jle	.L11
	movl	N(%rip), %edx
	movl	%edx, %eax
	sall	$2, %eax
	addl	%edx, %eax
	addl	%eax, %eax
	movl	%eax, %edx
	movsbl	-1(%rbp), %eax
	addl	%edx, %eax
	subl	$48, %eax
	movl	%eax, N(%rip)
	jmp	.L4
.L11:
	nop
	jmp	.L5
.L8:
	movl	i(%rip), %eax
	movl	%eax, j(%rip)
	jmp	.L6
.L7:
	movl	i(%rip), %edx
	movl	j(%rip), %eax
	xorl	%edx, %eax
	movl	$-1, %edx
	bsfl	%eax, %eax
	cmove	%edx, %eax
	addl	$1, %eax
	leal	48(%rax), %ecx
	movl	outsz(%rip), %eax
	leal	1(%rax), %edx
	movl	%edx, outsz(%rip)
	cltq
	leaq	out(%rip), %rdx
	movb	%cl, (%rax,%rdx)
	movl	outsz(%rip), %eax
	leal	1(%rax), %edx
	movl	%edx, outsz(%rip)
	cltq
	leaq	out(%rip), %rdx
	movb	$10, (%rax,%rdx)
.L6:
	movl	j(%rip), %eax
	leal	1(%rax), %edx
	movl	%edx, j(%rip)
	movl	N(%rip), %edx
	cmpl	%edx, %eax
	jl	.L7
.L5:
	movl	i(%rip), %eax
	leal	1(%rax), %edx
	movl	%edx, i(%rip)
	movl	N(%rip), %edx
	cmpl	%edx, %eax
	jl	.L8
	movl	outsz(%rip), %eax
	movl	%eax, %edx
	leaq	out(%rip), %rax
	movq	%rax, %rsi
	movl	$1, %edi
	movl	$0, %eax
	call	write@PLT
	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	buf
	.bss
	.type	buf, @object
	.size	buf, 5
buf:
	.zero	5
	.globl	out
	.align 32
	.type	out, @object
	.size	out, 262144
out:
	.zero	262144
	.globl	sz
	.align 4
	.type	sz, @object
	.size	sz, 4
sz:
	.zero	4
	.globl	outsz
	.align 4
	.type	outsz, @object
	.size	outsz, 4
outsz:
	.zero	4
	.globl	i
	.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
	.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	$5, %edx
	leaq	buf(%rip), %rax
	movq	%rax, %rsi
	movl	$0, %edi
	movl	$0, %eax
	call	read@PLT
.L4:
	movl	sz(%rip), %eax
	leal	1(%rax), %edx
	movl	%edx, sz(%rip)
	cltq
	leaq	buf(%rip), %rdx
	movzbl	(%rax,%rdx), %eax
	movb	%al, -1(%rbp)
	cmpb	$47, -1(%rbp)
	jle	.L11
	movl	N(%rip), %edx
	movl	%edx, %eax
	sall	$2, %eax
	addl	%edx, %eax
	addl	%eax, %eax
	movl	%eax, %edx
	movsbl	-1(%rbp), %eax
	addl	%edx, %eax
	subl	$48, %eax
	movl	%eax, N(%rip)
	jmp	.L4
.L11:
	nop
	jmp	.L5
.L8:
	movl	i(%rip), %eax
	movl	%eax, j(%rip)
	jmp	.L6
.L7:
	movl	i(%rip), %edx
	movl	j(%rip), %eax
	xorl	%edx, %eax
	movl	$-1, %edx
	bsfl	%eax, %eax
	cmove	%edx, %eax
	addl	$1, %eax
	leal	48(%rax), %ecx
	movl	outsz(%rip), %eax
	leal	1(%rax), %edx
	movl	%edx, outsz(%rip)
	cltq
	leaq	out(%rip), %rdx
	movb	%cl, (%rax,%rdx)
	movl	outsz(%rip), %eax
	leal	1(%rax), %edx
	movl	%edx, outsz(%rip)
	cltq
	leaq	out(%rip), %rdx
	movb	$10, (%rax,%rdx)
.L6:
	movl	j(%rip), %eax
	leal	1(%rax), %edx
	movl	%edx, j(%rip)
	movl	N(%rip), %edx
	cmpl	%edx, %eax
	jl	.L7
.L5:
	movl	i(%rip), %eax
	leal	1(%rax), %edx
	movl	%edx, i(%rip)
	movl	N(%rip), %edx
	cmpl	%edx, %eax
	jl	.L8
	movl	outsz(%rip), %eax
	movl	%eax, %edx
	leaq	out(%rip), %rax
	movq	%rax, %rsi
	movl	$1, %edi
	movl	$0, %eax
	call	write@PLT
	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:
