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

```c
#include <stdio.h>
#include <math.h>
#include <stdlib.h>
#include <string.h>
#include <math.h>
#define N 1000000007

long long pan(long long n)
{
  //printf("pan called pan(%lld)\n",n);
  if(n<=1)
    return 1;
  else
    return 2*pan((n-3)/2) + 1;
}

long long barger(long long left, long long right, long long x)
{
  //printf("barger called: barger(%lld, %lld, %lld)\n",left,right,x);
  long long mid = (right+left)/2;
  if(left>=mid)
    return 1;
  else if(x==right && (right-left)>0)
    return 0;
  else if(x<mid)
    return barger(left+1, mid-1, x) + 1 + pan(right-mid-1);
  else if(x==mid)
    return 1 + pan(right-mid-1);
  else if(mid<x)
    return barger(mid+1, right-1, x);
}

int main(void)
{
  long long n, layer, x, ans;
  scanf("%lld %lld",&n,&x);
  layer = pow(2, n+2) - 3;
  x = layer-x+1;
  //printf("layer: %lld\n",layer);
  ans = barger(1, layer, x);
  printf("%lld",ans);
  return 0;
}
```

Unoptimized Assembly Code:

```assembly
	.file	"temp.c"
	.text
	.globl	pan
	.type	pan, @function
pan:
.LFB6:
	.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
	movq	%rdi, -8(%rbp)
	cmpq	$1, -8(%rbp)
	jg	.L2
	movl	$1, %eax
	jmp	.L3
.L2:
	movq	-8(%rbp), %rax
	subq	$3, %rax
	movq	%rax, %rdx
	shrq	$63, %rdx
	addq	%rdx, %rax
	sarq	%rax
	movq	%rax, %rdi
	call	pan
	addq	%rax, %rax
	addq	$1, %rax
.L3:
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE6:
	.size	pan, .-pan
	.globl	barger
	.type	barger, @function
barger:
.LFB7:
	.cfi_startproc
	endbr64
	pushq	%rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	movq	%rsp, %rbp
	.cfi_def_cfa_register 6
	pushq	%rbx
	subq	$56, %rsp
	.cfi_offset 3, -24
	movq	%rdi, -40(%rbp)
	movq	%rsi, -48(%rbp)
	movq	%rdx, -56(%rbp)
	movq	-48(%rbp), %rdx
	movq	-40(%rbp), %rax
	addq	%rdx, %rax
	movq	%rax, %rdx
	shrq	$63, %rdx
	addq	%rdx, %rax
	sarq	%rax
	movq	%rax, -24(%rbp)
	movq	-40(%rbp), %rax
	cmpq	-24(%rbp), %rax
	jl	.L5
	movl	$1, %eax
	jmp	.L4
.L5:
	movq	-56(%rbp), %rax
	cmpq	-48(%rbp), %rax
	jne	.L7
	movq	-48(%rbp), %rax
	subq	-40(%rbp), %rax
	testq	%rax, %rax
	jle	.L7
	movl	$0, %eax
	jmp	.L4
.L7:
	movq	-56(%rbp), %rax
	cmpq	-24(%rbp), %rax
	jge	.L8
	movq	-24(%rbp), %rax
	leaq	-1(%rax), %rsi
	movq	-40(%rbp), %rax
	leaq	1(%rax), %rcx
	movq	-56(%rbp), %rax
	movq	%rax, %rdx
	movq	%rcx, %rdi
	call	barger
	leaq	1(%rax), %rbx
	movq	-48(%rbp), %rax
	subq	-24(%rbp), %rax
	subq	$1, %rax
	movq	%rax, %rdi
	call	pan
	addq	%rbx, %rax
	jmp	.L4
.L8:
	movq	-56(%rbp), %rax
	cmpq	-24(%rbp), %rax
	jne	.L9
	movq	-48(%rbp), %rax
	subq	-24(%rbp), %rax
	subq	$1, %rax
	movq	%rax, %rdi
	call	pan
	addq	$1, %rax
	jmp	.L4
.L9:
	movq	-24(%rbp), %rax
	cmpq	-56(%rbp), %rax
	jge	.L10
	movq	-48(%rbp), %rax
	leaq	-1(%rax), %rsi
	movq	-24(%rbp), %rax
	leaq	1(%rax), %rcx
	movq	-56(%rbp), %rax
	movq	%rax, %rdx
	movq	%rcx, %rdi
	call	barger
	jmp	.L4
.L10:
.L4:
	movq	-8(%rbp), %rbx
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE7:
	.size	barger, .-barger
	.section	.rodata
.LC0:
	.string	"%lld %lld"
.LC3:
	.string	"%lld"
	.text
	.globl	main
	.type	main, @function
main:
.LFB8:
	.cfi_startproc
	endbr64
	pushq	%rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	movq	%rsp, %rbp
	.cfi_def_cfa_register 6
	subq	$48, %rsp
	movq	%fs:40, %rax
	movq	%rax, -8(%rbp)
	xorl	%eax, %eax
	leaq	-32(%rbp), %rdx
	leaq	-40(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movq	-40(%rbp), %rax
	addq	$2, %rax
	pxor	%xmm0, %xmm0
	cvtsi2sdq	%rax, %xmm0
	movq	.LC1(%rip), %rax
	movapd	%xmm0, %xmm1
	movq	%rax, %xmm0
	call	pow@PLT
	movq	%xmm0, %rax
	movsd	.LC2(%rip), %xmm0
	movq	%rax, %xmm1
	subsd	%xmm0, %xmm1
	cvttsd2siq	%xmm1, %rax
	movq	%rax, -24(%rbp)
	movq	-32(%rbp), %rdx
	movq	-24(%rbp), %rax
	subq	%rdx, %rax
	addq	$1, %rax
	movq	%rax, -32(%rbp)
	movq	-32(%rbp), %rdx
	movq	-24(%rbp), %rax
	movq	%rax, %rsi
	movl	$1, %edi
	call	barger
	movq	%rax, -16(%rbp)
	movq	-16(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC3(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	printf@PLT
	movl	$0, %eax
	movq	-8(%rbp), %rdx
	subq	%fs:40, %rdx
	je	.L13
	call	__stack_chk_fail@PLT
.L13:
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE8:
	.size	main, .-main
	.section	.rodata
	.align 8
.LC1:
	.long	0
	.long	1073741824
	.align 8
.LC2:
	.long	0
	.long	1074266112
	.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	pan
	.type	pan, @function
pan:
.LFB51:
	.cfi_startproc
	endbr64
	movl	$1, %edx
	xorl	%eax, %eax
	cmpq	$1, %rdi
	jle	.L8
	.p2align 4,,10
	.p2align 3
.L2:
	leaq	-3(%rdi), %rsi
	movq	%rdi, %rcx
	movq	%rsi, %rdi
	shrq	$63, %rdi
	addq	%rsi, %rdi
	movq	%rdx, %rsi
	addq	%rdx, %rdx
	sarq	%rdi
	addq	%rsi, %rax
	cmpq	$6, %rcx
	jg	.L2
	addq	%rdx, %rax
	ret
	.p2align 4,,10
	.p2align 3
.L8:
	movl	$1, %eax
	ret
	.cfi_endproc
.LFE51:
	.size	pan, .-pan
	.p2align 4
	.globl	barger
	.type	barger, @function
barger:
.LFB52:
	.cfi_startproc
	endbr64
	leaq	(%rsi,%rdi), %rax
	pushq	%rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	pushq	%rbx
	.cfi_def_cfa_offset 24
	.cfi_offset 3, -24
	movq	%rax, %rbx
	shrq	$63, %rbx
	addq	%rax, %rbx
	sarq	%rbx
	subq	$8, %rsp
	.cfi_def_cfa_offset 32
	cmpq	%rdi, %rbx
	jle	.L24
	movq	%rsi, %rbp
	jmp	.L19
	.p2align 4,,10
	.p2align 3
.L11:
	cmpq	%rbx, %rdx
	jl	.L30
	je	.L31
	jle	.L9
	leaq	1(%rbx), %rdi
	subq	$1, %rbp
	leaq	0(%rbp,%rdi), %rax
	movq	%rax, %rbx
	shrq	$63, %rbx
	addq	%rax, %rbx
	sarq	%rbx
	cmpq	%rbx, %rdi
	jge	.L24
.L19:
	cmpq	%rbp, %rdx
	jne	.L11
	cmpq	%rdi, %rdx
	jle	.L11
	xorl	%eax, %eax
.L9:
	addq	$8, %rsp
	.cfi_remember_state
	.cfi_def_cfa_offset 24
	popq	%rbx
	.cfi_def_cfa_offset 16
	popq	%rbp
	.cfi_def_cfa_offset 8
	ret
	.p2align 4,,10
	.p2align 3
.L24:
	.cfi_restore_state
	addq	$8, %rsp
	.cfi_remember_state
	.cfi_def_cfa_offset 24
	movl	$1, %eax
	popq	%rbx
	.cfi_def_cfa_offset 16
	popq	%rbp
	.cfi_def_cfa_offset 8
	ret
	.p2align 4,,10
	.p2align 3
.L30:
	.cfi_restore_state
	addq	$1, %rdi
	leaq	-1(%rbx), %rsi
	subq	%rbx, %rbp
	call	barger
	subq	$1, %rbp
	xorl	%edi, %edi
	movl	$1, %edx
	addq	$1, %rax
	cmpq	$1, %rbp
	jle	.L14
	.p2align 4,,10
	.p2align 3
.L13:
	leaq	-3(%rbp), %rsi
	movq	%rbp, %rcx
	movq	%rsi, %rbp
	shrq	$63, %rbp
	addq	%rsi, %rbp
	movq	%rdx, %rsi
	addq	%rdx, %rdx
	sarq	%rbp
	addq	%rsi, %rdi
	cmpq	$6, %rcx
	jg	.L13
	addq	%rdi, %rdx
.L14:
	addq	$8, %rsp
	.cfi_remember_state
	.cfi_def_cfa_offset 24
	addq	%rdx, %rax
	popq	%rbx
	.cfi_def_cfa_offset 16
	popq	%rbp
	.cfi_def_cfa_offset 8
	ret
	.p2align 4,,10
	.p2align 3
.L31:
	.cfi_restore_state
	subq	%rdx, %rbp
	xorl	%esi, %esi
	movl	$1, %eax
	subq	$1, %rbp
	cmpq	$1, %rbp
	jle	.L32
	.p2align 4,,10
	.p2align 3
.L16:
	leaq	-3(%rbp), %rcx
	movq	%rbp, %rdx
	movq	%rcx, %rbp
	shrq	$63, %rbp
	addq	%rcx, %rbp
	movq	%rax, %rcx
	addq	%rax, %rax
	sarq	%rbp
	addq	%rcx, %rsi
	cmpq	$6, %rdx
	jg	.L16
	addq	$8, %rsp
	.cfi_remember_state
	.cfi_def_cfa_offset 24
	leaq	1(%rax,%rsi), %rax
	popq	%rbx
	.cfi_def_cfa_offset 16
	popq	%rbp
	.cfi_def_cfa_offset 8
	ret
.L32:
	.cfi_restore_state
	movl	$2, %eax
	jmp	.L9
	.cfi_endproc
.LFE52:
	.size	barger, .-barger
	.section	.rodata.str1.1,"aMS",@progbits,1
.LC0:
	.string	"%lld %lld"
.LC3:
	.string	"%lld"
	.section	.text.startup,"ax",@progbits
	.p2align 4
	.globl	main
	.type	main, @function
main:
.LFB53:
	.cfi_startproc
	endbr64
	subq	$40, %rsp
	.cfi_def_cfa_offset 48
	leaq	.LC0(%rip), %rdi
	movq	%fs:40, %rax
	movq	%rax, 24(%rsp)
	xorl	%eax, %eax
	leaq	16(%rsp), %rdx
	leaq	8(%rsp), %rsi
	call	__isoc99_scanf@PLT
	movq	8(%rsp), %rax
	pxor	%xmm1, %xmm1
	movsd	.LC1(%rip), %xmm0
	addq	$2, %rax
	cvtsi2sdq	%rax, %xmm1
	call	pow@PLT
	subsd	.LC2(%rip), %xmm0
	movl	$1, %edi
	cvttsd2siq	%xmm0, %rsi
	movq	%rsi, %rdx
	subq	16(%rsp), %rdx
	addq	$1, %rdx
	movq	%rdx, 16(%rsp)
	call	barger
	leaq	.LC3(%rip), %rsi
	movl	$1, %edi
	movq	%rax, %rdx
	xorl	%eax, %eax
	call	__printf_chk@PLT
	movq	24(%rsp), %rax
	subq	%fs:40, %rax
	jne	.L36
	xorl	%eax, %eax
	addq	$40, %rsp
	.cfi_remember_state
	.cfi_def_cfa_offset 8
	ret
.L36:
	.cfi_restore_state
	call	__stack_chk_fail@PLT
	.cfi_endproc
.LFE53:
	.size	main, .-main
	.section	.rodata.cst8,"aM",@progbits,8
	.align 8
.LC1:
	.long	0
	.long	1073741824
	.align 8
.LC2:
	.long	0
	.long	1074266112
	.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	pan
	.type	pan, @function
pan:
.LFB51:
	.cfi_startproc
	endbr64
	movl	$1, %edx
	xorl	%eax, %eax
	cmpq	$1, %rdi
	jle	.L8
	.p2align 4,,10
	.p2align 3
.L2:
	leaq	-3(%rdi), %rsi
	movq	%rdi, %rcx
	movq	%rsi, %rdi
	shrq	$63, %rdi
	addq	%rsi, %rdi
	movq	%rdx, %rsi
	addq	%rdx, %rdx
	sarq	%rdi
	addq	%rsi, %rax
	cmpq	$6, %rcx
	jg	.L2
	addq	%rdx, %rax
	ret
	.p2align 4,,10
	.p2align 3
.L8:
	movl	$1, %eax
	ret
	.cfi_endproc
.LFE51:
	.size	pan, .-pan
	.p2align 4
	.globl	barger
	.type	barger, @function
barger:
.LFB52:
	.cfi_startproc
	endbr64
	leaq	(%rsi,%rdi), %rax
	pushq	%rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	pushq	%rbx
	.cfi_def_cfa_offset 24
	.cfi_offset 3, -24
	movq	%rax, %rbx
	shrq	$63, %rbx
	addq	%rax, %rbx
	sarq	%rbx
	subq	$8, %rsp
	.cfi_def_cfa_offset 32
	cmpq	%rdi, %rbx
	jle	.L24
	movq	%rsi, %rbp
	jmp	.L19
	.p2align 4,,10
	.p2align 3
.L11:
	cmpq	%rbx, %rdx
	jl	.L30
	je	.L31
	jle	.L9
	leaq	1(%rbx), %rdi
	subq	$1, %rbp
	leaq	0(%rbp,%rdi), %rax
	movq	%rax, %rbx
	shrq	$63, %rbx
	addq	%rax, %rbx
	sarq	%rbx
	cmpq	%rbx, %rdi
	jge	.L24
.L19:
	cmpq	%rbp, %rdx
	jne	.L11
	cmpq	%rdi, %rdx
	jle	.L11
	xorl	%eax, %eax
.L9:
	addq	$8, %rsp
	.cfi_remember_state
	.cfi_def_cfa_offset 24
	popq	%rbx
	.cfi_def_cfa_offset 16
	popq	%rbp
	.cfi_def_cfa_offset 8
	ret
	.p2align 4,,10
	.p2align 3
.L24:
	.cfi_restore_state
	addq	$8, %rsp
	.cfi_remember_state
	.cfi_def_cfa_offset 24
	movl	$1, %eax
	popq	%rbx
	.cfi_def_cfa_offset 16
	popq	%rbp
	.cfi_def_cfa_offset 8
	ret
	.p2align 4,,10
	.p2align 3
.L30:
	.cfi_restore_state
	addq	$1, %rdi
	leaq	-1(%rbx), %rsi
	subq	%rbx, %rbp
	call	barger
	subq	$1, %rbp
	xorl	%edi, %edi
	movl	$1, %edx
	addq	$1, %rax
	cmpq	$1, %rbp
	jle	.L14
	.p2align 4,,10
	.p2align 3
.L13:
	leaq	-3(%rbp), %rsi
	movq	%rbp, %rcx
	movq	%rsi, %rbp
	shrq	$63, %rbp
	addq	%rsi, %rbp
	movq	%rdx, %rsi
	addq	%rdx, %rdx
	sarq	%rbp
	addq	%rsi, %rdi
	cmpq	$6, %rcx
	jg	.L13
	addq	%rdi, %rdx
.L14:
	addq	$8, %rsp
	.cfi_remember_state
	.cfi_def_cfa_offset 24
	addq	%rdx, %rax
	popq	%rbx
	.cfi_def_cfa_offset 16
	popq	%rbp
	.cfi_def_cfa_offset 8
	ret
	.p2align 4,,10
	.p2align 3
.L31:
	.cfi_restore_state
	subq	%rdx, %rbp
	xorl	%esi, %esi
	movl	$1, %eax
	subq	$1, %rbp
	cmpq	$1, %rbp
	jle	.L32
	.p2align 4,,10
	.p2align 3
.L16:
	leaq	-3(%rbp), %rcx
	movq	%rbp, %rdx
	movq	%rcx, %rbp
	shrq	$63, %rbp
	addq	%rcx, %rbp
	movq	%rax, %rcx
	addq	%rax, %rax
	sarq	%rbp
	addq	%rcx, %rsi
	cmpq	$6, %rdx
	jg	.L16
	addq	$8, %rsp
	.cfi_remember_state
	.cfi_def_cfa_offset 24
	leaq	1(%rax,%rsi), %rax
	popq	%rbx
	.cfi_def_cfa_offset 16
	popq	%rbp
	.cfi_def_cfa_offset 8
	ret
.L32:
	.cfi_restore_state
	movl	$2, %eax
	jmp	.L9
	.cfi_endproc
.LFE52:
	.size	barger, .-barger
	.section	.rodata.str1.1,"aMS",@progbits,1
.LC0:
	.string	"%lld %lld"
.LC3:
	.string	"%lld"
	.section	.text.startup,"ax",@progbits
	.p2align 4
	.globl	main
	.type	main, @function
main:
.LFB53:
	.cfi_startproc
	endbr64
	subq	$40, %rsp
	.cfi_def_cfa_offset 48
	leaq	.LC0(%rip), %rdi
	movq	%fs:40, %rax
	movq	%rax, 24(%rsp)
	xorl	%eax, %eax
	leaq	16(%rsp), %rdx
	leaq	8(%rsp), %rsi
	call	__isoc99_scanf@PLT
	movq	8(%rsp), %rax
	pxor	%xmm1, %xmm1
	movsd	.LC1(%rip), %xmm0
	addq	$2, %rax
	cvtsi2sdq	%rax, %xmm1
	call	pow@PLT
	subsd	.LC2(%rip), %xmm0
	movl	$1, %edi
	cvttsd2siq	%xmm0, %rsi
	movq	%rsi, %rdx
	subq	16(%rsp), %rdx
	addq	$1, %rdx
	movq	%rdx, 16(%rsp)
	call	barger
	leaq	.LC3(%rip), %rsi
	movl	$1, %edi
	movq	%rax, %rdx
	xorl	%eax, %eax
	call	__printf_chk@PLT
	movq	24(%rsp), %rax
	subq	%fs:40, %rax
	jne	.L36
	xorl	%eax, %eax
	addq	$40, %rsp
	.cfi_remember_state
	.cfi_def_cfa_offset 8
	ret
.L36:
	.cfi_restore_state
	call	__stack_chk_fail@PLT
	.cfi_endproc
.LFE53:
	.size	main, .-main
	.section	.rodata.cst8,"aM",@progbits,8
	.align 8
.LC1:
	.long	0
	.long	1073741824
	.align 8
.LC2:
	.long	0
	.long	1074266112
	.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:

#include <stdio.h>
#include <math.h>
#include <stdlib.h>
#include <string.h>
#include <math.h>
#define N 1000000007

long long pan(long long n)
{
  //printf("pan called pan(%lld)\n",n);
  if(n<=1)
    return 1;
  else
    return 2*pan((n-3)/2) + 1;
}

long long barger(long long left, long long right, long long x)
{
  //printf("barger called: barger(%lld, %lld, %lld)\n",left,right,x);
  long long mid = (right+left)/2;
  if(left>=mid)
    return 1;
  else if(x==right && (right-left)>0)
    return 0;
  else if(x<mid)
    return barger(left+1, mid-1, x) + 1 + pan(right-mid-1);
  else if(x==mid)
    return 1 + pan(right-mid-1);
  else if(mid<x)
    return barger(mid+1, right-1, x);
}

int main(void)
{
  long long n, layer, x, ans;
  scanf("%lld %lld",&n,&x);
  layer = pow(2, n+2) - 3;
  x = layer-x+1;
  //printf("layer: %lld\n",layer);
  ans = barger(1, layer, x);
  printf("%lld",ans);
  return 0;
}

50 3396494817772502
 2 1
 4 7
 0 1
 8 19
 6 19
 6 11
 6 14
 61 4321098765432109
 6 32

1698247408886243 0 3 1 7 8 4 6 1 15
Given the following C code and unoptimized assembly code, your task is to generate highly optimized x86-64 assembly code.
C Code:

```c
#include <stdio.h>
#include <math.h>
#include <stdlib.h>
#include <string.h>
#include <math.h>
#define N 1000000007

long long pan(long long n)
{
  //printf("pan called pan(%lld)\n",n);
  if(n<=1)
    return 1;
  else
    return 2*pan((n-3)/2) + 1;
}

long long barger(long long left, long long right, long long x)
{
  //printf("barger called: barger(%lld, %lld, %lld)\n",left,right,x);
  long long mid = (right+left)/2;
  if(left>=mid)
    return 1;
  else if(x==right && (right-left)>0)
    return 0;
  else if(x<mid)
    return barger(left+1, mid-1, x) + 1 + pan(right-mid-1);
  else if(x==mid)
    return 1 + pan(right-mid-1);
  else if(mid<x)
    return barger(mid+1, right-1, x);
}

int main(void)
{
  long long n, layer, x, ans;
  scanf("%lld %lld",&n,&x);
  layer = pow(2, n+2) - 3;
  x = layer-x+1;
  //printf("layer: %lld\n",layer);
  ans = barger(1, layer, x);
  printf("%lld",ans);
  return 0;
}
```

Unoptimized Assembly Code:

```assembly
	.file	"temp.c"
	.text
	.globl	pan
	.type	pan, @function
pan:
.LFB6:
	.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
	movq	%rdi, -8(%rbp)
	cmpq	$1, -8(%rbp)
	jg	.L2
	movl	$1, %eax
	jmp	.L3
.L2:
	movq	-8(%rbp), %rax
	subq	$3, %rax
	movq	%rax, %rdx
	shrq	$63, %rdx
	addq	%rdx, %rax
	sarq	%rax
	movq	%rax, %rdi
	call	pan
	addq	%rax, %rax
	addq	$1, %rax
.L3:
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE6:
	.size	pan, .-pan
	.globl	barger
	.type	barger, @function
barger:
.LFB7:
	.cfi_startproc
	endbr64
	pushq	%rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	movq	%rsp, %rbp
	.cfi_def_cfa_register 6
	pushq	%rbx
	subq	$56, %rsp
	.cfi_offset 3, -24
	movq	%rdi, -40(%rbp)
	movq	%rsi, -48(%rbp)
	movq	%rdx, -56(%rbp)
	movq	-48(%rbp), %rdx
	movq	-40(%rbp), %rax
	addq	%rdx, %rax
	movq	%rax, %rdx
	shrq	$63, %rdx
	addq	%rdx, %rax
	sarq	%rax
	movq	%rax, -24(%rbp)
	movq	-40(%rbp), %rax
	cmpq	-24(%rbp), %rax
	jl	.L5
	movl	$1, %eax
	jmp	.L4
.L5:
	movq	-56(%rbp), %rax
	cmpq	-48(%rbp), %rax
	jne	.L7
	movq	-48(%rbp), %rax
	subq	-40(%rbp), %rax
	testq	%rax, %rax
	jle	.L7
	movl	$0, %eax
	jmp	.L4
.L7:
	movq	-56(%rbp), %rax
	cmpq	-24(%rbp), %rax
	jge	.L8
	movq	-24(%rbp), %rax
	leaq	-1(%rax), %rsi
	movq	-40(%rbp), %rax
	leaq	1(%rax), %rcx
	movq	-56(%rbp), %rax
	movq	%rax, %rdx
	movq	%rcx, %rdi
	call	barger
	leaq	1(%rax), %rbx
	movq	-48(%rbp), %rax
	subq	-24(%rbp), %rax
	subq	$1, %rax
	movq	%rax, %rdi
	call	pan
	addq	%rbx, %rax
	jmp	.L4
.L8:
	movq	-56(%rbp), %rax
	cmpq	-24(%rbp), %rax
	jne	.L9
	movq	-48(%rbp), %rax
	subq	-24(%rbp), %rax
	subq	$1, %rax
	movq	%rax, %rdi
	call	pan
	addq	$1, %rax
	jmp	.L4
.L9:
	movq	-24(%rbp), %rax
	cmpq	-56(%rbp), %rax
	jge	.L10
	movq	-48(%rbp), %rax
	leaq	-1(%rax), %rsi
	movq	-24(%rbp), %rax
	leaq	1(%rax), %rcx
	movq	-56(%rbp), %rax
	movq	%rax, %rdx
	movq	%rcx, %rdi
	call	barger
	jmp	.L4
.L10:
.L4:
	movq	-8(%rbp), %rbx
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE7:
	.size	barger, .-barger
	.section	.rodata
.LC0:
	.string	"%lld %lld"
.LC3:
	.string	"%lld"
	.text
	.globl	main
	.type	main, @function
main:
.LFB8:
	.cfi_startproc
	endbr64
	pushq	%rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	movq	%rsp, %rbp
	.cfi_def_cfa_register 6
	subq	$48, %rsp
	movq	%fs:40, %rax
	movq	%rax, -8(%rbp)
	xorl	%eax, %eax
	leaq	-32(%rbp), %rdx
	leaq	-40(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movq	-40(%rbp), %rax
	addq	$2, %rax
	pxor	%xmm0, %xmm0
	cvtsi2sdq	%rax, %xmm0
	movq	.LC1(%rip), %rax
	movapd	%xmm0, %xmm1
	movq	%rax, %xmm0
	call	pow@PLT
	movq	%xmm0, %rax
	movsd	.LC2(%rip), %xmm0
	movq	%rax, %xmm1
	subsd	%xmm0, %xmm1
	cvttsd2siq	%xmm1, %rax
	movq	%rax, -24(%rbp)
	movq	-32(%rbp), %rdx
	movq	-24(%rbp), %rax
	subq	%rdx, %rax
	addq	$1, %rax
	movq	%rax, -32(%rbp)
	movq	-32(%rbp), %rdx
	movq	-24(%rbp), %rax
	movq	%rax, %rsi
	movl	$1, %edi
	call	barger
	movq	%rax, -16(%rbp)
	movq	-16(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC3(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	printf@PLT
	movl	$0, %eax
	movq	-8(%rbp), %rdx
	subq	%fs:40, %rdx
	je	.L13
	call	__stack_chk_fail@PLT
.L13:
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE8:
	.size	main, .-main
	.section	.rodata
	.align 8
.LC1:
	.long	0
	.long	1073741824
	.align 8
.LC2:
	.long	0
	.long	1074266112
	.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	pan
	.type	pan, @function
pan:
.LFB6:
	.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
	movq	%rdi, -8(%rbp)
	cmpq	$1, -8(%rbp)
	jg	.L2
	movl	$1, %eax
	jmp	.L3
.L2:
	movq	-8(%rbp), %rax
	subq	$3, %rax
	movq	%rax, %rdx
	shrq	$63, %rdx
	addq	%rdx, %rax
	sarq	%rax
	movq	%rax, %rdi
	call	pan
	addq	%rax, %rax
	addq	$1, %rax
.L3:
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE6:
	.size	pan, .-pan
	.globl	barger
	.type	barger, @function
barger:
.LFB7:
	.cfi_startproc
	endbr64
	pushq	%rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	movq	%rsp, %rbp
	.cfi_def_cfa_register 6
	pushq	%rbx
	subq	$56, %rsp
	.cfi_offset 3, -24
	movq	%rdi, -40(%rbp)
	movq	%rsi, -48(%rbp)
	movq	%rdx, -56(%rbp)
	movq	-48(%rbp), %rdx
	movq	-40(%rbp), %rax
	addq	%rdx, %rax
	movq	%rax, %rdx
	shrq	$63, %rdx
	addq	%rdx, %rax
	sarq	%rax
	movq	%rax, -24(%rbp)
	movq	-40(%rbp), %rax
	cmpq	-24(%rbp), %rax
	jl	.L5
	movl	$1, %eax
	jmp	.L4
.L5:
	movq	-56(%rbp), %rax
	cmpq	-48(%rbp), %rax
	jne	.L7
	movq	-48(%rbp), %rax
	subq	-40(%rbp), %rax
	testq	%rax, %rax
	jle	.L7
	movl	$0, %eax
	jmp	.L4
.L7:
	movq	-56(%rbp), %rax
	cmpq	-24(%rbp), %rax
	jge	.L8
	movq	-24(%rbp), %rax
	leaq	-1(%rax), %rsi
	movq	-40(%rbp), %rax
	leaq	1(%rax), %rcx
	movq	-56(%rbp), %rax
	movq	%rax, %rdx
	movq	%rcx, %rdi
	call	barger
	leaq	1(%rax), %rbx
	movq	-48(%rbp), %rax
	subq	-24(%rbp), %rax
	subq	$1, %rax
	movq	%rax, %rdi
	call	pan
	addq	%rbx, %rax
	jmp	.L4
.L8:
	movq	-56(%rbp), %rax
	cmpq	-24(%rbp), %rax
	jne	.L9
	movq	-48(%rbp), %rax
	subq	-24(%rbp), %rax
	subq	$1, %rax
	movq	%rax, %rdi
	call	pan
	addq	$1, %rax
	jmp	.L4
.L9:
	movq	-24(%rbp), %rax
	cmpq	-56(%rbp), %rax
	jge	.L10
	movq	-48(%rbp), %rax
	leaq	-1(%rax), %rsi
	movq	-24(%rbp), %rax
	leaq	1(%rax), %rcx
	movq	-56(%rbp), %rax
	movq	%rax, %rdx
	movq	%rcx, %rdi
	call	barger
	jmp	.L4
.L10:
.L4:
	movq	-8(%rbp), %rbx
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE7:
	.size	barger, .-barger
	.section	.rodata
.LC0:
	.string	"%lld %lld"
.LC3:
	.string	"%lld"
	.text
	.globl	main
	.type	main, @function
main:
.LFB8:
	.cfi_startproc
	endbr64
	pushq	%rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	movq	%rsp, %rbp
	.cfi_def_cfa_register 6
	subq	$48, %rsp
	movq	%fs:40, %rax
	movq	%rax, -8(%rbp)
	xorl	%eax, %eax
	leaq	-32(%rbp), %rdx
	leaq	-40(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movq	-40(%rbp), %rax
	addq	$2, %rax
	pxor	%xmm0, %xmm0
	cvtsi2sdq	%rax, %xmm0
	movq	.LC1(%rip), %rax
	movapd	%xmm0, %xmm1
	movq	%rax, %xmm0
	call	pow@PLT
	movq	%xmm0, %rax
	movsd	.LC2(%rip), %xmm0
	movq	%rax, %xmm1
	subsd	%xmm0, %xmm1
	cvttsd2siq	%xmm1, %rax
	movq	%rax, -24(%rbp)
	movq	-32(%rbp), %rdx
	movq	-24(%rbp), %rax
	subq	%rdx, %rax
	addq	$1, %rax
	movq	%rax, -32(%rbp)
	movq	-32(%rbp), %rdx
	movq	-24(%rbp), %rax
	movq	%rax, %rsi
	movl	$1, %edi
	call	barger
	movq	%rax, -16(%rbp)
	movq	-16(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC3(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	printf@PLT
	movl	$0, %eax
	movq	-8(%rbp), %rdx
	subq	%fs:40, %rdx
	je	.L13
	call	__stack_chk_fail@PLT
.L13:
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE8:
	.size	main, .-main
	.section	.rodata
	.align 8
.LC1:
	.long	0
	.long	1073741824
	.align 8
.LC2:
	.long	0
	.long	1074266112
	.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:
