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()
{
	int N;
	int square[100000];
	int err=0;
	int flag;
	int i;
	
	scanf("%d",&N);
	
	for(i=0;i<N;i++)scanf("%d",&square[i]);
	
	for(i=0;i<N;i++)
	{
		int x;
		flag=0;
		for(x=1;x*x<square[i];x++)
		{
			if(square[i]%(2*x+1)-x)continue;
			{flag++;break;}
		}
		if(flag==0)err++;
	}
	printf("%d\n",err);
	return 0;
}```

Unoptimized Assembly Code:

```assembly
	.file	"temp.c"
	.text
	.section	.rodata
.LC0:
	.string	"%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
	leaq	-397312(%rsp), %r11
.LPSRL0:
	subq	$4096, %rsp
	orq	$0, (%rsp)
	cmpq	%r11, %rsp
	jne	.LPSRL0
	subq	$2736, %rsp
	movq	%fs:40, %rax
	movq	%rax, -8(%rbp)
	xorl	%eax, %eax
	movl	$0, -400032(%rbp)
	leaq	-400036(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movl	$0, -400024(%rbp)
	jmp	.L2
.L3:
	leaq	-400016(%rbp), %rdx
	movl	-400024(%rbp), %eax
	cltq
	salq	$2, %rax
	addq	%rdx, %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	addl	$1, -400024(%rbp)
.L2:
	movl	-400036(%rbp), %eax
	cmpl	%eax, -400024(%rbp)
	jl	.L3
	movl	$0, -400024(%rbp)
	jmp	.L4
.L11:
	movl	$0, -400028(%rbp)
	movl	$1, -400020(%rbp)
	jmp	.L5
.L9:
	movl	-400024(%rbp), %eax
	cltq
	movl	-400016(%rbp,%rax,4), %eax
	movl	-400020(%rbp), %edx
	addl	%edx, %edx
	leal	1(%rdx), %ecx
	cltd
	idivl	%ecx
	movl	%edx, %eax
	cmpl	%eax, -400020(%rbp)
	jne	.L15
	addl	$1, -400028(%rbp)
	jmp	.L8
.L15:
	nop
	addl	$1, -400020(%rbp)
.L5:
	movl	-400020(%rbp), %eax
	imull	%eax, %eax
	movl	%eax, %edx
	movl	-400024(%rbp), %eax
	cltq
	movl	-400016(%rbp,%rax,4), %eax
	cmpl	%eax, %edx
	jl	.L9
.L8:
	cmpl	$0, -400028(%rbp)
	jne	.L10
	addl	$1, -400032(%rbp)
.L10:
	addl	$1, -400024(%rbp)
.L4:
	movl	-400036(%rbp), %eax
	cmpl	%eax, -400024(%rbp)
	jl	.L11
	movl	-400032(%rbp), %eax
	movl	%eax, %esi
	leaq	.LC1(%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
.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"
.LC1:
	.string	"%d\n"
	.section	.text.startup,"ax",@progbits
	.p2align 4
	.globl	main
	.type	main, @function
main:
.LFB23:
	.cfi_startproc
	endbr64
	pushq	%r13
	.cfi_def_cfa_offset 16
	.cfi_offset 13, -16
	pushq	%r12
	.cfi_def_cfa_offset 24
	.cfi_offset 12, -24
	pushq	%rbp
	.cfi_def_cfa_offset 32
	.cfi_offset 6, -32
	pushq	%rbx
	.cfi_def_cfa_offset 40
	.cfi_offset 3, -40
	leaq	-397312(%rsp), %r11
	.cfi_def_cfa 11, 397352
.LPSRL0:
	subq	$4096, %rsp
	orq	$0, (%rsp)
	cmpq	%r11, %rsp
	jne	.LPSRL0
	.cfi_def_cfa_register 7
	subq	$2728, %rsp
	.cfi_def_cfa_offset 400080
	leaq	.LC0(%rip), %r13
	movq	%r13, %rdi
	movq	%fs:40, %rax
	movq	%rax, 400024(%rsp)
	xorl	%eax, %eax
	leaq	12(%rsp), %rsi
	call	__isoc99_scanf@PLT
	movl	12(%rsp), %eax
	testl	%eax, %eax
	jle	.L2
	leaq	16(%rsp), %r12
	xorl	%ebx, %ebx
	movq	%r12, %rbp
	.p2align 4,,10
	.p2align 3
.L3:
	movq	%rbp, %rsi
	movq	%r13, %rdi
	xorl	%eax, %eax
	addl	$1, %ebx
	call	__isoc99_scanf@PLT
	movl	12(%rsp), %eax
	addq	$4, %rbp
	cmpl	%ebx, %eax
	jg	.L3
	testl	%eax, %eax
	jle	.L2
	movl	(%r12), %ecx
	subl	$1, %eax
	leaq	4(%r12), %rdi
	xorl	%r9d, %r9d
	leaq	(%rdi,%rax,4), %r10
	cmpl	$1, %ecx
	jle	.L7
	.p2align 4,,10
	.p2align 3
.L16:
	movslq	%ecx, %rax
	movl	%ecx, %edx
	imulq	$1431655766, %rax, %rax
	sarl	$31, %edx
	shrq	$32, %rax
	subl	%edx, %eax
	leal	(%rax,%rax,2), %edx
	movl	%ecx, %eax
	subl	%edx, %eax
	cmpl	$1, %eax
	je	.L5
	movl	$5, %r8d
	movl	$1, %esi
.L9:
	addl	$1, %esi
	movl	%esi, %eax
	imull	%esi, %eax
	cmpl	%ecx, %eax
	jge	.L7
	movl	%ecx, %eax
	cltd
	idivl	%r8d
	addl	$2, %r8d
	cmpl	%esi, %edx
	jne	.L9
.L5:
	movq	%rdi, %r12
	cmpq	%r10, %rdi
	je	.L8
.L17:
	movl	(%r12), %ecx
	addq	$4, %rdi
	cmpl	$1, %ecx
	jg	.L16
.L7:
	addl	$1, %r9d
	movq	%rdi, %r12
	cmpq	%r10, %rdi
	jne	.L17
.L8:
	xorl	%eax, %eax
	movl	%r9d, %edx
	movl	$1, %edi
	leaq	.LC1(%rip), %rsi
	call	__printf_chk@PLT
	movq	400024(%rsp), %rax
	subq	%fs:40, %rax
	jne	.L18
	addq	$400040, %rsp
	.cfi_remember_state
	.cfi_def_cfa_offset 40
	xorl	%eax, %eax
	popq	%rbx
	.cfi_def_cfa_offset 32
	popq	%rbp
	.cfi_def_cfa_offset 24
	popq	%r12
	.cfi_def_cfa_offset 16
	popq	%r13
	.cfi_def_cfa_offset 8
	ret
.L2:
	.cfi_restore_state
	xorl	%r9d, %r9d
	jmp	.L8
.L18:
	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	"%d"
.LC1:
	.string	"%d\n"
	.section	.text.startup,"ax",@progbits
	.p2align 4
	.globl	main
	.type	main, @function
main:
.LFB23:
	.cfi_startproc
	endbr64
	pushq	%r13
	.cfi_def_cfa_offset 16
	.cfi_offset 13, -16
	pushq	%r12
	.cfi_def_cfa_offset 24
	.cfi_offset 12, -24
	pushq	%rbp
	.cfi_def_cfa_offset 32
	.cfi_offset 6, -32
	pushq	%rbx
	.cfi_def_cfa_offset 40
	.cfi_offset 3, -40
	leaq	-397312(%rsp), %r11
	.cfi_def_cfa 11, 397352
.LPSRL0:
	subq	$4096, %rsp
	orq	$0, (%rsp)
	cmpq	%r11, %rsp
	jne	.LPSRL0
	.cfi_def_cfa_register 7
	subq	$2728, %rsp
	.cfi_def_cfa_offset 400080
	leaq	.LC0(%rip), %r13
	movq	%r13, %rdi
	movq	%fs:40, %rax
	movq	%rax, 400024(%rsp)
	xorl	%eax, %eax
	leaq	12(%rsp), %rsi
	call	__isoc99_scanf@PLT
	movl	12(%rsp), %eax
	testl	%eax, %eax
	jle	.L2
	leaq	16(%rsp), %r12
	xorl	%ebx, %ebx
	movq	%r12, %rbp
	.p2align 4,,10
	.p2align 3
.L3:
	movq	%rbp, %rsi
	movq	%r13, %rdi
	xorl	%eax, %eax
	addl	$1, %ebx
	call	__isoc99_scanf@PLT
	movl	12(%rsp), %eax
	addq	$4, %rbp
	cmpl	%ebx, %eax
	jg	.L3
	testl	%eax, %eax
	jle	.L2
	movl	(%r12), %ecx
	subl	$1, %eax
	leaq	4(%r12), %rdi
	xorl	%r9d, %r9d
	leaq	(%rdi,%rax,4), %r10
	cmpl	$1, %ecx
	jle	.L7
	.p2align 4,,10
	.p2align 3
.L16:
	movslq	%ecx, %rax
	movl	%ecx, %edx
	imulq	$1431655766, %rax, %rax
	sarl	$31, %edx
	shrq	$32, %rax
	subl	%edx, %eax
	leal	(%rax,%rax,2), %edx
	movl	%ecx, %eax
	subl	%edx, %eax
	cmpl	$1, %eax
	je	.L5
	movl	$5, %r8d
	movl	$1, %esi
.L9:
	addl	$1, %esi
	movl	%esi, %eax
	imull	%esi, %eax
	cmpl	%ecx, %eax
	jge	.L7
	movl	%ecx, %eax
	cltd
	idivl	%r8d
	addl	$2, %r8d
	cmpl	%esi, %edx
	jne	.L9
.L5:
	movq	%rdi, %r12
	cmpq	%r10, %rdi
	je	.L8
.L17:
	movl	(%r12), %ecx
	addq	$4, %rdi
	cmpl	$1, %ecx
	jg	.L16
.L7:
	addl	$1, %r9d
	movq	%rdi, %r12
	cmpq	%r10, %rdi
	jne	.L17
.L8:
	xorl	%eax, %eax
	movl	%r9d, %edx
	movl	$1, %edi
	leaq	.LC1(%rip), %rsi
	call	__printf_chk@PLT
	movq	400024(%rsp), %rax
	subq	%fs:40, %rax
	jne	.L18
	addq	$400040, %rsp
	.cfi_remember_state
	.cfi_def_cfa_offset 40
	xorl	%eax, %eax
	popq	%rbx
	.cfi_def_cfa_offset 32
	popq	%rbp
	.cfi_def_cfa_offset 24
	popq	%r12
	.cfi_def_cfa_offset 16
	popq	%r13
	.cfi_def_cfa_offset 8
	ret
.L2:
	.cfi_restore_state
	xorl	%r9d, %r9d
	jmp	.L8
.L18:
	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()
{
	int N;
	int square[100000];
	int err=0;
	int flag;
	int i;
	
	scanf("%d",&N);
	
	for(i=0;i<N;i++)scanf("%d",&square[i]);
	
	for(i=0;i<N;i++)
	{
		int x;
		flag=0;
		for(x=1;x*x<square[i];x++)
		{
			if(square[i]%(2*x+1)-x)continue;
			{flag++;break;}
		}
		if(flag==0)err++;
	}
	printf("%d\n",err);
	return 0;
}
enoN
 10
4
7
9
10
12
13
20
17
19
20
 10
8
7
8
10
12
13
20
17
19
20
 10
8
0
8
10
12
13
20
17
19
20
 10
8
0
18
10
0
13
20
17
19
2
 10
8
0
18
10
0
13
3
3
19
3
 10
2
0
18
13
0
5
5
5
4
3
 emoN
 10
4
7
8
10
12
13
20
17
19
20
 fmoN

0
 3
 4
 5
 6
 7
 8
 0
 3
 0

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()
{
	int N;
	int square[100000];
	int err=0;
	int flag;
	int i;
	
	scanf("%d",&N);
	
	for(i=0;i<N;i++)scanf("%d",&square[i]);
	
	for(i=0;i<N;i++)
	{
		int x;
		flag=0;
		for(x=1;x*x<square[i];x++)
		{
			if(square[i]%(2*x+1)-x)continue;
			{flag++;break;}
		}
		if(flag==0)err++;
	}
	printf("%d\n",err);
	return 0;
}```

Unoptimized Assembly Code:

```assembly
	.file	"temp.c"
	.text
	.section	.rodata
.LC0:
	.string	"%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
	leaq	-397312(%rsp), %r11
.LPSRL0:
	subq	$4096, %rsp
	orq	$0, (%rsp)
	cmpq	%r11, %rsp
	jne	.LPSRL0
	subq	$2736, %rsp
	movq	%fs:40, %rax
	movq	%rax, -8(%rbp)
	xorl	%eax, %eax
	movl	$0, -400032(%rbp)
	leaq	-400036(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movl	$0, -400024(%rbp)
	jmp	.L2
.L3:
	leaq	-400016(%rbp), %rdx
	movl	-400024(%rbp), %eax
	cltq
	salq	$2, %rax
	addq	%rdx, %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	addl	$1, -400024(%rbp)
.L2:
	movl	-400036(%rbp), %eax
	cmpl	%eax, -400024(%rbp)
	jl	.L3
	movl	$0, -400024(%rbp)
	jmp	.L4
.L11:
	movl	$0, -400028(%rbp)
	movl	$1, -400020(%rbp)
	jmp	.L5
.L9:
	movl	-400024(%rbp), %eax
	cltq
	movl	-400016(%rbp,%rax,4), %eax
	movl	-400020(%rbp), %edx
	addl	%edx, %edx
	leal	1(%rdx), %ecx
	cltd
	idivl	%ecx
	movl	%edx, %eax
	cmpl	%eax, -400020(%rbp)
	jne	.L15
	addl	$1, -400028(%rbp)
	jmp	.L8
.L15:
	nop
	addl	$1, -400020(%rbp)
.L5:
	movl	-400020(%rbp), %eax
	imull	%eax, %eax
	movl	%eax, %edx
	movl	-400024(%rbp), %eax
	cltq
	movl	-400016(%rbp,%rax,4), %eax
	cmpl	%eax, %edx
	jl	.L9
.L8:
	cmpl	$0, -400028(%rbp)
	jne	.L10
	addl	$1, -400032(%rbp)
.L10:
	addl	$1, -400024(%rbp)
.L4:
	movl	-400036(%rbp), %eax
	cmpl	%eax, -400024(%rbp)
	jl	.L11
	movl	-400032(%rbp), %eax
	movl	%eax, %esi
	leaq	.LC1(%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
.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"
.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
	leaq	-397312(%rsp), %r11
.LPSRL0:
	subq	$4096, %rsp
	orq	$0, (%rsp)
	cmpq	%r11, %rsp
	jne	.LPSRL0
	subq	$2736, %rsp
	movq	%fs:40, %rax
	movq	%rax, -8(%rbp)
	xorl	%eax, %eax
	movl	$0, -400032(%rbp)
	leaq	-400036(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movl	$0, -400024(%rbp)
	jmp	.L2
.L3:
	leaq	-400016(%rbp), %rdx
	movl	-400024(%rbp), %eax
	cltq
	salq	$2, %rax
	addq	%rdx, %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	addl	$1, -400024(%rbp)
.L2:
	movl	-400036(%rbp), %eax
	cmpl	%eax, -400024(%rbp)
	jl	.L3
	movl	$0, -400024(%rbp)
	jmp	.L4
.L11:
	movl	$0, -400028(%rbp)
	movl	$1, -400020(%rbp)
	jmp	.L5
.L9:
	movl	-400024(%rbp), %eax
	cltq
	movl	-400016(%rbp,%rax,4), %eax
	movl	-400020(%rbp), %edx
	addl	%edx, %edx
	leal	1(%rdx), %ecx
	cltd
	idivl	%ecx
	movl	%edx, %eax
	cmpl	%eax, -400020(%rbp)
	jne	.L15
	addl	$1, -400028(%rbp)
	jmp	.L8
.L15:
	nop
	addl	$1, -400020(%rbp)
.L5:
	movl	-400020(%rbp), %eax
	imull	%eax, %eax
	movl	%eax, %edx
	movl	-400024(%rbp), %eax
	cltq
	movl	-400016(%rbp,%rax,4), %eax
	cmpl	%eax, %edx
	jl	.L9
.L8:
	cmpl	$0, -400028(%rbp)
	jne	.L10
	addl	$1, -400032(%rbp)
.L10:
	addl	$1, -400024(%rbp)
.L4:
	movl	-400036(%rbp), %eax
	cmpl	%eax, -400024(%rbp)
	jl	.L11
	movl	-400032(%rbp), %eax
	movl	%eax, %esi
	leaq	.LC1(%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
.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:
