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>

int main()
{
	long long N, P;
	scanf("%lld %lld", &N, &P);
	
	if (N == 1) {
		printf("%lld\n", P);
		fflush(stdout);
		return 0;
	}
	
	int i, j, ans = 1;
	long long tmp;
	for (i = 2; i <= 1000000; i++) {
		for (j = 0, tmp = 1; j < N && tmp <= P; j++, tmp *= i);
		if (tmp > P) break;
		else if (P / tmp * tmp != P) continue;
		else ans = i;
	}		

	printf("%d\n", ans);
	fflush(stdout);
	return 0;
}```

Unoptimized Assembly Code:

```assembly
	.file	"temp.c"
	.text
	.section	.rodata
.LC0:
	.string	"%lld %lld"
.LC1:
	.string	"%lld\n"
.LC2:
	.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	$48, %rsp
	movq	%fs:40, %rax
	movq	%rax, -8(%rbp)
	xorl	%eax, %eax
	leaq	-24(%rbp), %rdx
	leaq	-32(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movq	-32(%rbp), %rax
	cmpq	$1, %rax
	jne	.L2
	movq	-24(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC1(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	printf@PLT
	movq	stdout(%rip), %rax
	movq	%rax, %rdi
	call	fflush@PLT
	movl	$0, %eax
	jmp	.L13
.L2:
	movl	$1, -36(%rbp)
	movl	$2, -44(%rbp)
	jmp	.L4
.L12:
	movl	$0, -40(%rbp)
	movq	$1, -16(%rbp)
	jmp	.L5
.L7:
	addl	$1, -40(%rbp)
	movl	-44(%rbp), %eax
	cltq
	movq	-16(%rbp), %rdx
	imulq	%rdx, %rax
	movq	%rax, -16(%rbp)
.L5:
	movl	-40(%rbp), %eax
	movslq	%eax, %rdx
	movq	-32(%rbp), %rax
	cmpq	%rax, %rdx
	jge	.L6
	movq	-24(%rbp), %rax
	cmpq	%rax, -16(%rbp)
	jle	.L7
.L6:
	movq	-24(%rbp), %rax
	cmpq	%rax, -16(%rbp)
	jg	.L15
	movq	-24(%rbp), %rax
	cqto
	idivq	-16(%rbp)
	imulq	-16(%rbp), %rax
	movq	%rax, %rdx
	movq	-24(%rbp), %rax
	cmpq	%rax, %rdx
	jne	.L16
	movl	-44(%rbp), %eax
	movl	%eax, -36(%rbp)
	jmp	.L11
.L16:
	nop
.L11:
	addl	$1, -44(%rbp)
.L4:
	cmpl	$1000000, -44(%rbp)
	jle	.L12
	jmp	.L9
.L15:
	nop
.L9:
	movl	-36(%rbp), %eax
	movl	%eax, %esi
	leaq	.LC2(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	printf@PLT
	movq	stdout(%rip), %rax
	movq	%rax, %rdi
	call	fflush@PLT
	movl	$0, %eax
.L13:
	movq	-8(%rbp), %rdx
	subq	%fs:40, %rdx
	je	.L14
	call	__stack_chk_fail@PLT
.L14:
	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	"%lld %lld"
.LC1:
	.string	"%lld\n"
.LC2:
	.string	"%d\n"
	.section	.text.startup,"ax",@progbits
	.p2align 4
	.globl	main
	.type	main, @function
main:
.LFB23:
	.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), %r8
	cmpq	$1, %r8
	je	.L2
	movl	$2, %edi
	movq	16(%rsp), %rsi
	movl	$1, %r9d
	movl	%edi, %r10d
	testq	%r8, %r8
	jle	.L9
	.p2align 4,,10
	.p2align 3
.L20:
	xorl	%eax, %eax
	movl	$1, %ecx
	jmp	.L10
	.p2align 4,,10
	.p2align 3
.L6:
	addq	$1, %rax
	imulq	%rdi, %rcx
	cmpq	%r8, %rax
	je	.L5
.L10:
	cmpq	%rsi, %rcx
	jle	.L6
.L7:
	movl	$1, %edi
	movl	%r9d, %edx
	leaq	.LC2(%rip), %rsi
	xorl	%eax, %eax
	call	__printf_chk@PLT
	movq	stdout(%rip), %rdi
	call	fflush@PLT
.L4:
	movq	24(%rsp), %rax
	subq	%fs:40, %rax
	jne	.L19
	xorl	%eax, %eax
	addq	$40, %rsp
	.cfi_remember_state
	.cfi_def_cfa_offset 8
	ret
	.p2align 4,,10
	.p2align 3
.L5:
	.cfi_restore_state
	cmpq	%rsi, %rcx
	jg	.L7
	movq	%rsi, %rax
	cqto
	idivq	%rcx
	imulq	%rcx, %rax
	cmpq	%rsi, %rax
	cmove	%r10d, %r9d
.L8:
	addq	$1, %rdi
	cmpq	$1000001, %rdi
	je	.L7
	movl	%edi, %r10d
	testq	%r8, %r8
	jg	.L20
.L9:
	testq	%rsi, %rsi
	jle	.L7
	movl	%edi, %r9d
	jmp	.L8
.L2:
	movq	16(%rsp), %rdx
	leaq	.LC1(%rip), %rsi
	movl	$1, %edi
	xorl	%eax, %eax
	call	__printf_chk@PLT
	movq	stdout(%rip), %rdi
	call	fflush@PLT
	jmp	.L4
.L19:
	call	__stack_chk_fail@PLT
	.cfi_endproc
.LFE23:
	.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	"%lld %lld"
.LC1:
	.string	"%lld\n"
.LC2:
	.string	"%d\n"
	.section	.text.startup,"ax",@progbits
	.p2align 4
	.globl	main
	.type	main, @function
main:
.LFB23:
	.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), %r8
	cmpq	$1, %r8
	je	.L2
	movl	$2, %edi
	movq	16(%rsp), %rsi
	movl	$1, %r9d
	movl	%edi, %r10d
	testq	%r8, %r8
	jle	.L9
	.p2align 4,,10
	.p2align 3
.L20:
	xorl	%eax, %eax
	movl	$1, %ecx
	jmp	.L10
	.p2align 4,,10
	.p2align 3
.L6:
	addq	$1, %rax
	imulq	%rdi, %rcx
	cmpq	%r8, %rax
	je	.L5
.L10:
	cmpq	%rsi, %rcx
	jle	.L6
.L7:
	movl	$1, %edi
	movl	%r9d, %edx
	leaq	.LC2(%rip), %rsi
	xorl	%eax, %eax
	call	__printf_chk@PLT
	movq	stdout(%rip), %rdi
	call	fflush@PLT
.L4:
	movq	24(%rsp), %rax
	subq	%fs:40, %rax
	jne	.L19
	xorl	%eax, %eax
	addq	$40, %rsp
	.cfi_remember_state
	.cfi_def_cfa_offset 8
	ret
	.p2align 4,,10
	.p2align 3
.L5:
	.cfi_restore_state
	cmpq	%rsi, %rcx
	jg	.L7
	movq	%rsi, %rax
	cqto
	idivq	%rcx
	imulq	%rcx, %rax
	cmpq	%rsi, %rax
	cmove	%r10d, %r9d
.L8:
	addq	$1, %rdi
	cmpq	$1000001, %rdi
	je	.L7
	movl	%edi, %r10d
	testq	%r8, %r8
	jg	.L20
.L9:
	testq	%rsi, %rsi
	jle	.L7
	movl	%edi, %r9d
	jmp	.L8
.L2:
	movq	16(%rsp), %rdx
	leaq	.LC1(%rip), %rsi
	movl	$1, %edi
	xorl	%eax, %eax
	call	__printf_chk@PLT
	movq	stdout(%rip), %rdi
	call	fflush@PLT
	jmp	.L4
.L19:
	call	__stack_chk_fail@PLT
	.cfi_endproc
.LFE23:
	.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:

#include <stdio.h>

int main()
{
	long long N, P;
	scanf("%lld %lld", &N, &P);
	
	if (N == 1) {
		printf("%lld\n", P);
		fflush(stdout);
		return 0;
	}
	
	int i, j, ans = 1;
	long long tmp;
	for (i = 2; i <= 1000000; i++) {
		for (j = 0, tmp = 1; j < N && tmp <= P; j++, tmp *= i);
		if (tmp > P) break;
		else if (P / tmp * tmp != P) continue;
		else ans = i;
	}		

	printf("%d\n", ans);
	fflush(stdout);
	return 0;
}
3 24

2

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>

int main()
{
	long long N, P;
	scanf("%lld %lld", &N, &P);
	
	if (N == 1) {
		printf("%lld\n", P);
		fflush(stdout);
		return 0;
	}
	
	int i, j, ans = 1;
	long long tmp;
	for (i = 2; i <= 1000000; i++) {
		for (j = 0, tmp = 1; j < N && tmp <= P; j++, tmp *= i);
		if (tmp > P) break;
		else if (P / tmp * tmp != P) continue;
		else ans = i;
	}		

	printf("%d\n", ans);
	fflush(stdout);
	return 0;
}```

Unoptimized Assembly Code:

```assembly
	.file	"temp.c"
	.text
	.section	.rodata
.LC0:
	.string	"%lld %lld"
.LC1:
	.string	"%lld\n"
.LC2:
	.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	$48, %rsp
	movq	%fs:40, %rax
	movq	%rax, -8(%rbp)
	xorl	%eax, %eax
	leaq	-24(%rbp), %rdx
	leaq	-32(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movq	-32(%rbp), %rax
	cmpq	$1, %rax
	jne	.L2
	movq	-24(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC1(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	printf@PLT
	movq	stdout(%rip), %rax
	movq	%rax, %rdi
	call	fflush@PLT
	movl	$0, %eax
	jmp	.L13
.L2:
	movl	$1, -36(%rbp)
	movl	$2, -44(%rbp)
	jmp	.L4
.L12:
	movl	$0, -40(%rbp)
	movq	$1, -16(%rbp)
	jmp	.L5
.L7:
	addl	$1, -40(%rbp)
	movl	-44(%rbp), %eax
	cltq
	movq	-16(%rbp), %rdx
	imulq	%rdx, %rax
	movq	%rax, -16(%rbp)
.L5:
	movl	-40(%rbp), %eax
	movslq	%eax, %rdx
	movq	-32(%rbp), %rax
	cmpq	%rax, %rdx
	jge	.L6
	movq	-24(%rbp), %rax
	cmpq	%rax, -16(%rbp)
	jle	.L7
.L6:
	movq	-24(%rbp), %rax
	cmpq	%rax, -16(%rbp)
	jg	.L15
	movq	-24(%rbp), %rax
	cqto
	idivq	-16(%rbp)
	imulq	-16(%rbp), %rax
	movq	%rax, %rdx
	movq	-24(%rbp), %rax
	cmpq	%rax, %rdx
	jne	.L16
	movl	-44(%rbp), %eax
	movl	%eax, -36(%rbp)
	jmp	.L11
.L16:
	nop
.L11:
	addl	$1, -44(%rbp)
.L4:
	cmpl	$1000000, -44(%rbp)
	jle	.L12
	jmp	.L9
.L15:
	nop
.L9:
	movl	-36(%rbp), %eax
	movl	%eax, %esi
	leaq	.LC2(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	printf@PLT
	movq	stdout(%rip), %rax
	movq	%rax, %rdi
	call	fflush@PLT
	movl	$0, %eax
.L13:
	movq	-8(%rbp), %rdx
	subq	%fs:40, %rdx
	je	.L14
	call	__stack_chk_fail@PLT
.L14:
	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
	.section	.rodata
.LC0:
	.string	"%lld %lld"
.LC1:
	.string	"%lld\n"
.LC2:
	.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	$48, %rsp
	movq	%fs:40, %rax
	movq	%rax, -8(%rbp)
	xorl	%eax, %eax
	leaq	-24(%rbp), %rdx
	leaq	-32(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movq	-32(%rbp), %rax
	cmpq	$1, %rax
	jne	.L2
	movq	-24(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC1(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	printf@PLT
	movq	stdout(%rip), %rax
	movq	%rax, %rdi
	call	fflush@PLT
	movl	$0, %eax
	jmp	.L13
.L2:
	movl	$1, -36(%rbp)
	movl	$2, -44(%rbp)
	jmp	.L4
.L12:
	movl	$0, -40(%rbp)
	movq	$1, -16(%rbp)
	jmp	.L5
.L7:
	addl	$1, -40(%rbp)
	movl	-44(%rbp), %eax
	cltq
	movq	-16(%rbp), %rdx
	imulq	%rdx, %rax
	movq	%rax, -16(%rbp)
.L5:
	movl	-40(%rbp), %eax
	movslq	%eax, %rdx
	movq	-32(%rbp), %rax
	cmpq	%rax, %rdx
	jge	.L6
	movq	-24(%rbp), %rax
	cmpq	%rax, -16(%rbp)
	jle	.L7
.L6:
	movq	-24(%rbp), %rax
	cmpq	%rax, -16(%rbp)
	jg	.L15
	movq	-24(%rbp), %rax
	cqto
	idivq	-16(%rbp)
	imulq	-16(%rbp), %rax
	movq	%rax, %rdx
	movq	-24(%rbp), %rax
	cmpq	%rax, %rdx
	jne	.L16
	movl	-44(%rbp), %eax
	movl	%eax, -36(%rbp)
	jmp	.L11
.L16:
	nop
.L11:
	addl	$1, -44(%rbp)
.L4:
	cmpl	$1000000, -44(%rbp)
	jle	.L12
	jmp	.L9
.L15:
	nop
.L9:
	movl	-36(%rbp), %eax
	movl	%eax, %esi
	leaq	.LC2(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	printf@PLT
	movq	stdout(%rip), %rax
	movq	%rax, %rdi
	call	fflush@PLT
	movl	$0, %eax
.L13:
	movq	-8(%rbp), %rdx
	subq	%fs:40, %rdx
	je	.L14
	call	__stack_chk_fail@PLT
.L14:
	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:
