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 ary[10010];
int isPrime(int n){
	int i;
	if(ary[n]==2){
		return 0;
	}
	else if(ary[n]==1){
		return 1;
	}
	if(n % 2 == 0){
		ary[n]=2;
		return 0;
	}
	for(i = 3; i * i <= n; i += 2)
		if(n % i == 0){
			ary[n]=2;
			return 0;
		}
	ary[n]=1;
	return 1;
}

int main(){
	int n;
	int i,j;
	ary[0]=2;
	ary[1]=2;
	ary[2]=1;
	int c;
	for(;scanf("%d",&n)!=EOF;){
		c=0;
		for(i=1;i<=n;i++){
			if(isPrime(i)&&isPrime(n-i+1))c++;
		}
		printf("%d\n",c);

	}



	return 0;
}```

Unoptimized Assembly Code:

```assembly
	.file	"temp.c"
	.text
	.globl	ary
	.bss
	.align 32
	.type	ary, @object
	.size	ary, 40040
ary:
	.zero	40040
	.text
	.globl	isPrime
	.type	isPrime, @function
isPrime:
.LFB0:
	.cfi_startproc
	endbr64
	pushq	%rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	movq	%rsp, %rbp
	.cfi_def_cfa_register 6
	movl	%edi, -20(%rbp)
	movl	-20(%rbp), %eax
	cltq
	leaq	0(,%rax,4), %rdx
	leaq	ary(%rip), %rax
	movl	(%rdx,%rax), %eax
	cmpl	$2, %eax
	jne	.L2
	movl	$0, %eax
	jmp	.L3
.L2:
	movl	-20(%rbp), %eax
	cltq
	leaq	0(,%rax,4), %rdx
	leaq	ary(%rip), %rax
	movl	(%rdx,%rax), %eax
	cmpl	$1, %eax
	jne	.L4
	movl	$1, %eax
	jmp	.L3
.L4:
	movl	-20(%rbp), %eax
	andl	$1, %eax
	testl	%eax, %eax
	jne	.L5
	movl	-20(%rbp), %eax
	cltq
	leaq	0(,%rax,4), %rdx
	leaq	ary(%rip), %rax
	movl	$2, (%rdx,%rax)
	movl	$0, %eax
	jmp	.L3
.L5:
	movl	$3, -4(%rbp)
	jmp	.L6
.L8:
	movl	-20(%rbp), %eax
	cltd
	idivl	-4(%rbp)
	movl	%edx, %eax
	testl	%eax, %eax
	jne	.L7
	movl	-20(%rbp), %eax
	cltq
	leaq	0(,%rax,4), %rdx
	leaq	ary(%rip), %rax
	movl	$2, (%rdx,%rax)
	movl	$0, %eax
	jmp	.L3
.L7:
	addl	$2, -4(%rbp)
.L6:
	movl	-4(%rbp), %eax
	imull	%eax, %eax
	cmpl	%eax, -20(%rbp)
	jge	.L8
	movl	-20(%rbp), %eax
	cltq
	leaq	0(,%rax,4), %rdx
	leaq	ary(%rip), %rax
	movl	$1, (%rdx,%rax)
	movl	$1, %eax
.L3:
	popq	%rbp
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE0:
	.size	isPrime, .-isPrime
	.section	.rodata
.LC0:
	.string	"%d\n"
.LC1:
	.string	"%d"
	.text
	.globl	main
	.type	main, @function
main:
.LFB1:
	.cfi_startproc
	endbr64
	pushq	%rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	movq	%rsp, %rbp
	.cfi_def_cfa_register 6
	subq	$32, %rsp
	movq	%fs:40, %rax
	movq	%rax, -8(%rbp)
	xorl	%eax, %eax
	movl	$2, ary(%rip)
	movl	$2, 4+ary(%rip)
	movl	$1, 8+ary(%rip)
	jmp	.L10
.L14:
	movl	$0, -12(%rbp)
	movl	$1, -16(%rbp)
	jmp	.L11
.L13:
	movl	-16(%rbp), %eax
	movl	%eax, %edi
	call	isPrime
	testl	%eax, %eax
	je	.L12
	movl	-20(%rbp), %eax
	subl	-16(%rbp), %eax
	addl	$1, %eax
	movl	%eax, %edi
	call	isPrime
	testl	%eax, %eax
	je	.L12
	addl	$1, -12(%rbp)
.L12:
	addl	$1, -16(%rbp)
.L11:
	movl	-20(%rbp), %eax
	cmpl	%eax, -16(%rbp)
	jle	.L13
	movl	-12(%rbp), %eax
	movl	%eax, %esi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	printf@PLT
.L10:
	leaq	-20(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC1(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	cmpl	$-1, %eax
	jne	.L14
	movl	$0, %eax
	movq	-8(%rbp), %rdx
	subq	%fs:40, %rdx
	je	.L16
	call	__stack_chk_fail@PLT
.L16:
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE1:
	.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
	.p2align 4
	.globl	isPrime
	.type	isPrime, @function
isPrime:
.LFB23:
	.cfi_startproc
	endbr64
	leaq	ary(%rip), %rsi
	movslq	%edi, %r8
	movl	(%rsi,%r8,4), %eax
	cmpl	$2, %eax
	je	.L7
	cmpl	$1, %eax
	je	.L1
	testb	$1, %dil
	je	.L3
	cmpl	$8, %edi
	jle	.L4
	imull	$-1431655765, %edi, %eax
	movl	$3, %ecx
	addl	$715827882, %eax
	cmpl	$1431655764, %eax
	ja	.L5
	jmp	.L3
	.p2align 4,,10
	.p2align 3
.L6:
	movl	%edi, %eax
	cltd
	idivl	%ecx
	testl	%edx, %edx
	je	.L3
.L5:
	addl	$2, %ecx
	movl	%ecx, %eax
	imull	%ecx, %eax
	cmpl	%eax, %edi
	jge	.L6
.L4:
	movl	$1, (%rsi,%r8,4)
	movl	$1, %eax
	ret
	.p2align 4,,10
	.p2align 3
.L7:
	xorl	%eax, %eax
.L1:
	ret
	.p2align 4,,10
	.p2align 3
.L3:
	movl	$2, (%rsi,%r8,4)
	xorl	%eax, %eax
	ret
	.cfi_endproc
.LFE23:
	.size	isPrime, .-isPrime
	.section	.rodata.str1.1,"aMS",@progbits,1
.LC1:
	.string	"%d\n"
.LC2:
	.string	"%d"
	.section	.text.startup,"ax",@progbits
	.p2align 4
	.globl	main
	.type	main, @function
main:
.LFB24:
	.cfi_startproc
	endbr64
	pushq	%r14
	.cfi_def_cfa_offset 16
	.cfi_offset 14, -16
	pushq	%r13
	.cfi_def_cfa_offset 24
	.cfi_offset 13, -24
	leaq	ary(%rip), %r13
	pushq	%r12
	.cfi_def_cfa_offset 32
	.cfi_offset 12, -32
	leaq	.LC1(%rip), %r12
	pushq	%rbp
	.cfi_def_cfa_offset 40
	.cfi_offset 6, -40
	pushq	%rbx
	.cfi_def_cfa_offset 48
	.cfi_offset 3, -48
	leaq	.LC2(%rip), %rbx
	subq	$16, %rsp
	.cfi_def_cfa_offset 64
	movq	%fs:40, %rax
	movq	%rax, 8(%rsp)
	xorl	%eax, %eax
	movq	.LC0(%rip), %rax
	leaq	4(%rsp), %rbp
	movl	$1, 8+ary(%rip)
	movq	%rax, ary(%rip)
	.p2align 4,,10
	.p2align 3
.L21:
	xorl	%eax, %eax
	movq	%rbp, %rsi
	movq	%rbx, %rdi
	call	__isoc99_scanf@PLT
	cmpl	$-1, %eax
	je	.L50
	movl	4(%rsp), %edi
	xorl	%r9d, %r9d
	testl	%edi, %edi
	jle	.L52
	movl	$8, %r11d
	leaq	4+ary(%rip), %r10
	movl	%edi, %r8d
	movl	$1, %esi
	cmpl	%r11d, %edi
	cmovle	%edi, %r11d
	xorl	%r9d, %r9d
	.p2align 4,,10
	.p2align 3
.L32:
	movl	(%r10), %eax
	cmpl	$2, %eax
	je	.L22
	cmpl	$1, %eax
	je	.L23
	testb	$1, %sil
	je	.L94
	movl	$1, (%r10)
.L23:
	movslq	%r8d, %r14
	movl	0(%r13,%r14,4), %eax
	cmpl	$2, %eax
	je	.L22
	cmpl	$1, %eax
	je	.L25
	testb	$1, %r8b
	je	.L28
	cmpl	$8, %r8d
	jle	.L27
	imull	$-1431655765, %r8d, %eax
	addl	$715827882, %eax
	cmpl	$1431655764, %eax
	jbe	.L28
	movl	$3, %ecx
	jmp	.L29
	.p2align 4,,10
	.p2align 3
.L30:
	movl	%r8d, %eax
	cltd
	idivl	%ecx
	testl	%edx, %edx
	je	.L28
.L29:
	addl	$2, %ecx
	movl	%ecx, %eax
	imull	%ecx, %eax
	cmpl	%eax, %r8d
	jge	.L30
.L27:
	movl	$1, 0(%r13,%r14,4)
.L25:
	addl	$1, %r9d
.L22:
	addl	$1, %esi
	addq	$4, %r10
	subl	$1, %r8d
	cmpl	%r11d, %esi
	jle	.L32
	cmpl	%edi, %esi
	jg	.L52
	movslq	%esi, %rax
	addl	$1, %edi
	leaq	0(%r13,%rax,4), %r8
	subl	%esi, %edi
	.p2align 4,,10
	.p2align 3
.L48:
	movl	(%r8), %eax
	cmpl	$2, %eax
	je	.L33
	cmpl	$1, %eax
	je	.L34
	testb	$1, %sil
	je	.L35
	imull	$-1431655765, %esi, %eax
	movl	$3, %ecx
	cmpl	$1431655765, %eax
	ja	.L37
	jmp	.L35
	.p2align 4,,10
	.p2align 3
.L95:
	movl	%esi, %eax
	cltd
	idivl	%ecx
	testl	%edx, %edx
	je	.L35
.L37:
	addl	$2, %ecx
	movl	%ecx, %eax
	imull	%ecx, %eax
	cmpl	%eax, %esi
	jge	.L95
	movl	$1, (%r8)
.L34:
	movslq	%edi, %r10
	movl	0(%r13,%r10,4), %eax
	cmpl	$2, %eax
	je	.L33
	cmpl	$1, %eax
	je	.L40
	testb	$1, %dil
	je	.L41
	cmpl	$8, %edi
	jle	.L45
	imull	$-1431655765, %edi, %eax
	movl	$3, %ecx
	addl	$715827882, %eax
	cmpl	$1431655764, %eax
	ja	.L43
	jmp	.L46
	.p2align 4,,10
	.p2align 3
.L96:
	movl	%edi, %eax
	cltd
	idivl	%ecx
	testl	%edx, %edx
	je	.L46
.L43:
	addl	$2, %ecx
	movl	%ecx, %eax
	imull	%ecx, %eax
	cmpl	%eax, %edi
	jge	.L96
.L45:
	movl	$1, 0(%r13,%r10,4)
.L40:
	addl	$1, %r9d
	.p2align 4,,10
	.p2align 3
.L33:
	addl	$1, %esi
	addq	$4, %r8
	subl	$1, %edi
	jne	.L48
.L52:
	movl	%r9d, %edx
	movq	%r12, %rsi
	movl	$1, %edi
	xorl	%eax, %eax
	call	__printf_chk@PLT
	jmp	.L21
	.p2align 4,,10
	.p2align 3
.L35:
	movl	$2, (%r8)
	jmp	.L33
	.p2align 4,,10
	.p2align 3
.L94:
	movl	$2, (%r10)
	jmp	.L22
	.p2align 4,,10
	.p2align 3
.L28:
	movl	$2, 0(%r13,%r14,4)
	jmp	.L22
	.p2align 4,,10
	.p2align 3
.L41:
	movl	$2, 0(%r13,%r10,4)
	jmp	.L33
	.p2align 4,,10
	.p2align 3
.L46:
	movl	$2, 0(%r13,%r10,4)
	addl	$1, %esi
	addq	$4, %r8
	subl	$1, %edi
	jmp	.L48
.L50:
	movq	8(%rsp), %rax
	subq	%fs:40, %rax
	jne	.L97
	addq	$16, %rsp
	.cfi_remember_state
	.cfi_def_cfa_offset 48
	xorl	%eax, %eax
	popq	%rbx
	.cfi_def_cfa_offset 40
	popq	%rbp
	.cfi_def_cfa_offset 32
	popq	%r12
	.cfi_def_cfa_offset 24
	popq	%r13
	.cfi_def_cfa_offset 16
	popq	%r14
	.cfi_def_cfa_offset 8
	ret
.L97:
	.cfi_restore_state
	call	__stack_chk_fail@PLT
	.cfi_endproc
.LFE24:
	.size	main, .-main
	.globl	ary
	.bss
	.align 32
	.type	ary, @object
	.size	ary, 40040
ary:
	.zero	40040
	.section	.rodata.cst8,"aM",@progbits,8
	.align 8
.LC0:
	.long	2
	.long	2
	.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	isPrime
	.type	isPrime, @function
isPrime:
.LFB23:
	.cfi_startproc
	endbr64
	leaq	ary(%rip), %rsi
	movslq	%edi, %r8
	movl	(%rsi,%r8,4), %eax
	cmpl	$2, %eax
	je	.L7
	cmpl	$1, %eax
	je	.L1
	testb	$1, %dil
	je	.L3
	cmpl	$8, %edi
	jle	.L4
	imull	$-1431655765, %edi, %eax
	movl	$3, %ecx
	addl	$715827882, %eax
	cmpl	$1431655764, %eax
	ja	.L5
	jmp	.L3
	.p2align 4,,10
	.p2align 3
.L6:
	movl	%edi, %eax
	cltd
	idivl	%ecx
	testl	%edx, %edx
	je	.L3
.L5:
	addl	$2, %ecx
	movl	%ecx, %eax
	imull	%ecx, %eax
	cmpl	%eax, %edi
	jge	.L6
.L4:
	movl	$1, (%rsi,%r8,4)
	movl	$1, %eax
	ret
	.p2align 4,,10
	.p2align 3
.L7:
	xorl	%eax, %eax
.L1:
	ret
	.p2align 4,,10
	.p2align 3
.L3:
	movl	$2, (%rsi,%r8,4)
	xorl	%eax, %eax
	ret
	.cfi_endproc
.LFE23:
	.size	isPrime, .-isPrime
	.section	.rodata.str1.1,"aMS",@progbits,1
.LC1:
	.string	"%d\n"
.LC2:
	.string	"%d"
	.section	.text.startup,"ax",@progbits
	.p2align 4
	.globl	main
	.type	main, @function
main:
.LFB24:
	.cfi_startproc
	endbr64
	pushq	%r14
	.cfi_def_cfa_offset 16
	.cfi_offset 14, -16
	pushq	%r13
	.cfi_def_cfa_offset 24
	.cfi_offset 13, -24
	leaq	ary(%rip), %r13
	pushq	%r12
	.cfi_def_cfa_offset 32
	.cfi_offset 12, -32
	leaq	.LC1(%rip), %r12
	pushq	%rbp
	.cfi_def_cfa_offset 40
	.cfi_offset 6, -40
	pushq	%rbx
	.cfi_def_cfa_offset 48
	.cfi_offset 3, -48
	leaq	.LC2(%rip), %rbx
	subq	$16, %rsp
	.cfi_def_cfa_offset 64
	movq	%fs:40, %rax
	movq	%rax, 8(%rsp)
	xorl	%eax, %eax
	movq	.LC0(%rip), %rax
	leaq	4(%rsp), %rbp
	movl	$1, 8+ary(%rip)
	movq	%rax, ary(%rip)
	.p2align 4,,10
	.p2align 3
.L21:
	xorl	%eax, %eax
	movq	%rbp, %rsi
	movq	%rbx, %rdi
	call	__isoc99_scanf@PLT
	cmpl	$-1, %eax
	je	.L50
	movl	4(%rsp), %edi
	xorl	%r9d, %r9d
	testl	%edi, %edi
	jle	.L52
	movl	$8, %r11d
	leaq	4+ary(%rip), %r10
	movl	%edi, %r8d
	movl	$1, %esi
	cmpl	%r11d, %edi
	cmovle	%edi, %r11d
	xorl	%r9d, %r9d
	.p2align 4,,10
	.p2align 3
.L32:
	movl	(%r10), %eax
	cmpl	$2, %eax
	je	.L22
	cmpl	$1, %eax
	je	.L23
	testb	$1, %sil
	je	.L94
	movl	$1, (%r10)
.L23:
	movslq	%r8d, %r14
	movl	0(%r13,%r14,4), %eax
	cmpl	$2, %eax
	je	.L22
	cmpl	$1, %eax
	je	.L25
	testb	$1, %r8b
	je	.L28
	cmpl	$8, %r8d
	jle	.L27
	imull	$-1431655765, %r8d, %eax
	addl	$715827882, %eax
	cmpl	$1431655764, %eax
	jbe	.L28
	movl	$3, %ecx
	jmp	.L29
	.p2align 4,,10
	.p2align 3
.L30:
	movl	%r8d, %eax
	cltd
	idivl	%ecx
	testl	%edx, %edx
	je	.L28
.L29:
	addl	$2, %ecx
	movl	%ecx, %eax
	imull	%ecx, %eax
	cmpl	%eax, %r8d
	jge	.L30
.L27:
	movl	$1, 0(%r13,%r14,4)
.L25:
	addl	$1, %r9d
.L22:
	addl	$1, %esi
	addq	$4, %r10
	subl	$1, %r8d
	cmpl	%r11d, %esi
	jle	.L32
	cmpl	%edi, %esi
	jg	.L52
	movslq	%esi, %rax
	addl	$1, %edi
	leaq	0(%r13,%rax,4), %r8
	subl	%esi, %edi
	.p2align 4,,10
	.p2align 3
.L48:
	movl	(%r8), %eax
	cmpl	$2, %eax
	je	.L33
	cmpl	$1, %eax
	je	.L34
	testb	$1, %sil
	je	.L35
	imull	$-1431655765, %esi, %eax
	movl	$3, %ecx
	cmpl	$1431655765, %eax
	ja	.L37
	jmp	.L35
	.p2align 4,,10
	.p2align 3
.L95:
	movl	%esi, %eax
	cltd
	idivl	%ecx
	testl	%edx, %edx
	je	.L35
.L37:
	addl	$2, %ecx
	movl	%ecx, %eax
	imull	%ecx, %eax
	cmpl	%eax, %esi
	jge	.L95
	movl	$1, (%r8)
.L34:
	movslq	%edi, %r10
	movl	0(%r13,%r10,4), %eax
	cmpl	$2, %eax
	je	.L33
	cmpl	$1, %eax
	je	.L40
	testb	$1, %dil
	je	.L41
	cmpl	$8, %edi
	jle	.L45
	imull	$-1431655765, %edi, %eax
	movl	$3, %ecx
	addl	$715827882, %eax
	cmpl	$1431655764, %eax
	ja	.L43
	jmp	.L46
	.p2align 4,,10
	.p2align 3
.L96:
	movl	%edi, %eax
	cltd
	idivl	%ecx
	testl	%edx, %edx
	je	.L46
.L43:
	addl	$2, %ecx
	movl	%ecx, %eax
	imull	%ecx, %eax
	cmpl	%eax, %edi
	jge	.L96
.L45:
	movl	$1, 0(%r13,%r10,4)
.L40:
	addl	$1, %r9d
	.p2align 4,,10
	.p2align 3
.L33:
	addl	$1, %esi
	addq	$4, %r8
	subl	$1, %edi
	jne	.L48
.L52:
	movl	%r9d, %edx
	movq	%r12, %rsi
	movl	$1, %edi
	xorl	%eax, %eax
	call	__printf_chk@PLT
	jmp	.L21
	.p2align 4,,10
	.p2align 3
.L35:
	movl	$2, (%r8)
	jmp	.L33
	.p2align 4,,10
	.p2align 3
.L94:
	movl	$2, (%r10)
	jmp	.L22
	.p2align 4,,10
	.p2align 3
.L28:
	movl	$2, 0(%r13,%r14,4)
	jmp	.L22
	.p2align 4,,10
	.p2align 3
.L41:
	movl	$2, 0(%r13,%r10,4)
	jmp	.L33
	.p2align 4,,10
	.p2align 3
.L46:
	movl	$2, 0(%r13,%r10,4)
	addl	$1, %esi
	addq	$4, %r8
	subl	$1, %edi
	jmp	.L48
.L50:
	movq	8(%rsp), %rax
	subq	%fs:40, %rax
	jne	.L97
	addq	$16, %rsp
	.cfi_remember_state
	.cfi_def_cfa_offset 48
	xorl	%eax, %eax
	popq	%rbx
	.cfi_def_cfa_offset 40
	popq	%rbp
	.cfi_def_cfa_offset 32
	popq	%r12
	.cfi_def_cfa_offset 24
	popq	%r13
	.cfi_def_cfa_offset 16
	popq	%r14
	.cfi_def_cfa_offset 8
	ret
.L97:
	.cfi_restore_state
	call	__stack_chk_fail@PLT
	.cfi_endproc
.LFE24:
	.size	main, .-main
	.globl	ary
	.bss
	.align 32
	.type	ary, @object
	.size	ary, 40040
ary:
	.zero	40040
	.section	.rodata.cst8,"aM",@progbits,8
	.align 8
.LC0:
	.long	2
	.long	2
	.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 ary[10010];
int isPrime(int n){
	int i;
	if(ary[n]==2){
		return 0;
	}
	else if(ary[n]==1){
		return 1;
	}
	if(n % 2 == 0){
		ary[n]=2;
		return 0;
	}
	for(i = 3; i * i <= n; i += 2)
		if(n % i == 0){
			ary[n]=2;
			return 0;
		}
	ary[n]=1;
	return 1;
}

int main(){
	int n;
	int i,j;
	ary[0]=2;
	ary[1]=2;
	ary[2]=1;
	int c;
	for(;scanf("%d",&n)!=EOF;){
		c=0;
		for(i=1;i<=n;i++){
			if(isPrime(i)&&isPrime(n-i+1))c++;
		}
		printf("%d\n",c);

	}



	return 0;
}
1
8
7
51
 1
10
7
51
 1
10
7
65
 1
12
7
115
 1
12
9
115
 1
12
9
15
 1
26
9
15
 1
26
11
15
 1
26
11
20
 1
27
11
20

0
2
2
6
 0
0
2
6
 0
0
2
12
 0
2
2
12
 0
2
3
12
 0
2
3
4
 0
0
3
4
 0
0
2
4
 0
0
2
2
 0
4
2
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 ary[10010];
int isPrime(int n){
	int i;
	if(ary[n]==2){
		return 0;
	}
	else if(ary[n]==1){
		return 1;
	}
	if(n % 2 == 0){
		ary[n]=2;
		return 0;
	}
	for(i = 3; i * i <= n; i += 2)
		if(n % i == 0){
			ary[n]=2;
			return 0;
		}
	ary[n]=1;
	return 1;
}

int main(){
	int n;
	int i,j;
	ary[0]=2;
	ary[1]=2;
	ary[2]=1;
	int c;
	for(;scanf("%d",&n)!=EOF;){
		c=0;
		for(i=1;i<=n;i++){
			if(isPrime(i)&&isPrime(n-i+1))c++;
		}
		printf("%d\n",c);

	}



	return 0;
}```

Unoptimized Assembly Code:

```assembly
	.file	"temp.c"
	.text
	.globl	ary
	.bss
	.align 32
	.type	ary, @object
	.size	ary, 40040
ary:
	.zero	40040
	.text
	.globl	isPrime
	.type	isPrime, @function
isPrime:
.LFB0:
	.cfi_startproc
	endbr64
	pushq	%rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	movq	%rsp, %rbp
	.cfi_def_cfa_register 6
	movl	%edi, -20(%rbp)
	movl	-20(%rbp), %eax
	cltq
	leaq	0(,%rax,4), %rdx
	leaq	ary(%rip), %rax
	movl	(%rdx,%rax), %eax
	cmpl	$2, %eax
	jne	.L2
	movl	$0, %eax
	jmp	.L3
.L2:
	movl	-20(%rbp), %eax
	cltq
	leaq	0(,%rax,4), %rdx
	leaq	ary(%rip), %rax
	movl	(%rdx,%rax), %eax
	cmpl	$1, %eax
	jne	.L4
	movl	$1, %eax
	jmp	.L3
.L4:
	movl	-20(%rbp), %eax
	andl	$1, %eax
	testl	%eax, %eax
	jne	.L5
	movl	-20(%rbp), %eax
	cltq
	leaq	0(,%rax,4), %rdx
	leaq	ary(%rip), %rax
	movl	$2, (%rdx,%rax)
	movl	$0, %eax
	jmp	.L3
.L5:
	movl	$3, -4(%rbp)
	jmp	.L6
.L8:
	movl	-20(%rbp), %eax
	cltd
	idivl	-4(%rbp)
	movl	%edx, %eax
	testl	%eax, %eax
	jne	.L7
	movl	-20(%rbp), %eax
	cltq
	leaq	0(,%rax,4), %rdx
	leaq	ary(%rip), %rax
	movl	$2, (%rdx,%rax)
	movl	$0, %eax
	jmp	.L3
.L7:
	addl	$2, -4(%rbp)
.L6:
	movl	-4(%rbp), %eax
	imull	%eax, %eax
	cmpl	%eax, -20(%rbp)
	jge	.L8
	movl	-20(%rbp), %eax
	cltq
	leaq	0(,%rax,4), %rdx
	leaq	ary(%rip), %rax
	movl	$1, (%rdx,%rax)
	movl	$1, %eax
.L3:
	popq	%rbp
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE0:
	.size	isPrime, .-isPrime
	.section	.rodata
.LC0:
	.string	"%d\n"
.LC1:
	.string	"%d"
	.text
	.globl	main
	.type	main, @function
main:
.LFB1:
	.cfi_startproc
	endbr64
	pushq	%rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	movq	%rsp, %rbp
	.cfi_def_cfa_register 6
	subq	$32, %rsp
	movq	%fs:40, %rax
	movq	%rax, -8(%rbp)
	xorl	%eax, %eax
	movl	$2, ary(%rip)
	movl	$2, 4+ary(%rip)
	movl	$1, 8+ary(%rip)
	jmp	.L10
.L14:
	movl	$0, -12(%rbp)
	movl	$1, -16(%rbp)
	jmp	.L11
.L13:
	movl	-16(%rbp), %eax
	movl	%eax, %edi
	call	isPrime
	testl	%eax, %eax
	je	.L12
	movl	-20(%rbp), %eax
	subl	-16(%rbp), %eax
	addl	$1, %eax
	movl	%eax, %edi
	call	isPrime
	testl	%eax, %eax
	je	.L12
	addl	$1, -12(%rbp)
.L12:
	addl	$1, -16(%rbp)
.L11:
	movl	-20(%rbp), %eax
	cmpl	%eax, -16(%rbp)
	jle	.L13
	movl	-12(%rbp), %eax
	movl	%eax, %esi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	printf@PLT
.L10:
	leaq	-20(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC1(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	cmpl	$-1, %eax
	jne	.L14
	movl	$0, %eax
	movq	-8(%rbp), %rdx
	subq	%fs:40, %rdx
	je	.L16
	call	__stack_chk_fail@PLT
.L16:
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE1:
	.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	ary
	.bss
	.align 32
	.type	ary, @object
	.size	ary, 40040
ary:
	.zero	40040
	.text
	.globl	isPrime
	.type	isPrime, @function
isPrime:
.LFB0:
	.cfi_startproc
	endbr64
	pushq	%rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	movq	%rsp, %rbp
	.cfi_def_cfa_register 6
	movl	%edi, -20(%rbp)
	movl	-20(%rbp), %eax
	cltq
	leaq	0(,%rax,4), %rdx
	leaq	ary(%rip), %rax
	movl	(%rdx,%rax), %eax
	cmpl	$2, %eax
	jne	.L2
	movl	$0, %eax
	jmp	.L3
.L2:
	movl	-20(%rbp), %eax
	cltq
	leaq	0(,%rax,4), %rdx
	leaq	ary(%rip), %rax
	movl	(%rdx,%rax), %eax
	cmpl	$1, %eax
	jne	.L4
	movl	$1, %eax
	jmp	.L3
.L4:
	movl	-20(%rbp), %eax
	andl	$1, %eax
	testl	%eax, %eax
	jne	.L5
	movl	-20(%rbp), %eax
	cltq
	leaq	0(,%rax,4), %rdx
	leaq	ary(%rip), %rax
	movl	$2, (%rdx,%rax)
	movl	$0, %eax
	jmp	.L3
.L5:
	movl	$3, -4(%rbp)
	jmp	.L6
.L8:
	movl	-20(%rbp), %eax
	cltd
	idivl	-4(%rbp)
	movl	%edx, %eax
	testl	%eax, %eax
	jne	.L7
	movl	-20(%rbp), %eax
	cltq
	leaq	0(,%rax,4), %rdx
	leaq	ary(%rip), %rax
	movl	$2, (%rdx,%rax)
	movl	$0, %eax
	jmp	.L3
.L7:
	addl	$2, -4(%rbp)
.L6:
	movl	-4(%rbp), %eax
	imull	%eax, %eax
	cmpl	%eax, -20(%rbp)
	jge	.L8
	movl	-20(%rbp), %eax
	cltq
	leaq	0(,%rax,4), %rdx
	leaq	ary(%rip), %rax
	movl	$1, (%rdx,%rax)
	movl	$1, %eax
.L3:
	popq	%rbp
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE0:
	.size	isPrime, .-isPrime
	.section	.rodata
.LC0:
	.string	"%d\n"
.LC1:
	.string	"%d"
	.text
	.globl	main
	.type	main, @function
main:
.LFB1:
	.cfi_startproc
	endbr64
	pushq	%rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	movq	%rsp, %rbp
	.cfi_def_cfa_register 6
	subq	$32, %rsp
	movq	%fs:40, %rax
	movq	%rax, -8(%rbp)
	xorl	%eax, %eax
	movl	$2, ary(%rip)
	movl	$2, 4+ary(%rip)
	movl	$1, 8+ary(%rip)
	jmp	.L10
.L14:
	movl	$0, -12(%rbp)
	movl	$1, -16(%rbp)
	jmp	.L11
.L13:
	movl	-16(%rbp), %eax
	movl	%eax, %edi
	call	isPrime
	testl	%eax, %eax
	je	.L12
	movl	-20(%rbp), %eax
	subl	-16(%rbp), %eax
	addl	$1, %eax
	movl	%eax, %edi
	call	isPrime
	testl	%eax, %eax
	je	.L12
	addl	$1, -12(%rbp)
.L12:
	addl	$1, -16(%rbp)
.L11:
	movl	-20(%rbp), %eax
	cmpl	%eax, -16(%rbp)
	jle	.L13
	movl	-12(%rbp), %eax
	movl	%eax, %esi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	printf@PLT
.L10:
	leaq	-20(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC1(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	cmpl	$-1, %eax
	jne	.L14
	movl	$0, %eax
	movq	-8(%rbp), %rdx
	subq	%fs:40, %rdx
	je	.L16
	call	__stack_chk_fail@PLT
.L16:
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE1:
	.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:
