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,D,X[20][20],S=0;
  scanf("%d %d",&N,&D);
  for(int i=1;i<=N;i++){
    for(int j=1;j<=D;j++){
      scanf("%d",&X[i][j]);
    }
  }
  int d,p;
  for(int i=1;i<N;i++){
    for(int j=i+1;j<=N;j++){
      d=0;
      for(int k=1;k<=D;k++){
        d+=(X[i][k]-X[j][k])*(X[i][k]-X[j][k]);
      }
      p=0;
      while(p*p<d) p++;
      if(p*p==d) S++;
    }
  }
  printf("%d\n",S);
  return 0;
}```

Unoptimized Assembly Code:

```assembly
	.file	"temp.c"
	.text
	.section	.rodata
.LC0:
	.string	"%d %d"
.LC1:
	.string	"%d"
.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	$1664, %rsp
	movq	%fs:40, %rax
	movq	%rax, -8(%rbp)
	xorl	%eax, %eax
	movl	$0, -1648(%rbp)
	leaq	-1652(%rbp), %rdx
	leaq	-1656(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movl	$1, -1644(%rbp)
	jmp	.L2
.L5:
	movl	$1, -1640(%rbp)
	jmp	.L3
.L4:
	leaq	-1616(%rbp), %rcx
	movl	-1640(%rbp), %eax
	movslq	%eax, %rsi
	movl	-1644(%rbp), %eax
	movslq	%eax, %rdx
	movq	%rdx, %rax
	salq	$2, %rax
	addq	%rdx, %rax
	salq	$2, %rax
	addq	%rsi, %rax
	salq	$2, %rax
	addq	%rcx, %rax
	movq	%rax, %rsi
	leaq	.LC1(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	addl	$1, -1640(%rbp)
.L3:
	movl	-1652(%rbp), %eax
	cmpl	%eax, -1640(%rbp)
	jle	.L4
	addl	$1, -1644(%rbp)
.L2:
	movl	-1656(%rbp), %eax
	cmpl	%eax, -1644(%rbp)
	jle	.L5
	movl	$1, -1628(%rbp)
	jmp	.L6
.L14:
	movl	-1628(%rbp), %eax
	addl	$1, %eax
	movl	%eax, -1624(%rbp)
	jmp	.L7
.L13:
	movl	$0, -1636(%rbp)
	movl	$1, -1620(%rbp)
	jmp	.L8
.L9:
	movl	-1620(%rbp), %eax
	movslq	%eax, %rcx
	movl	-1628(%rbp), %eax
	movslq	%eax, %rdx
	movq	%rdx, %rax
	salq	$2, %rax
	addq	%rdx, %rax
	salq	$2, %rax
	addq	%rcx, %rax
	movl	-1616(%rbp,%rax,4), %ecx
	movl	-1620(%rbp), %eax
	movslq	%eax, %rsi
	movl	-1624(%rbp), %eax
	movslq	%eax, %rdx
	movq	%rdx, %rax
	salq	$2, %rax
	addq	%rdx, %rax
	salq	$2, %rax
	addq	%rsi, %rax
	movl	-1616(%rbp,%rax,4), %eax
	movl	%ecx, %esi
	subl	%eax, %esi
	movl	-1620(%rbp), %eax
	movslq	%eax, %rcx
	movl	-1628(%rbp), %eax
	movslq	%eax, %rdx
	movq	%rdx, %rax
	salq	$2, %rax
	addq	%rdx, %rax
	salq	$2, %rax
	addq	%rcx, %rax
	movl	-1616(%rbp,%rax,4), %ecx
	movl	-1620(%rbp), %eax
	movslq	%eax, %rdi
	movl	-1624(%rbp), %eax
	movslq	%eax, %rdx
	movq	%rdx, %rax
	salq	$2, %rax
	addq	%rdx, %rax
	salq	$2, %rax
	addq	%rdi, %rax
	movl	-1616(%rbp,%rax,4), %edx
	movl	%ecx, %eax
	subl	%edx, %eax
	imull	%esi, %eax
	addl	%eax, -1636(%rbp)
	addl	$1, -1620(%rbp)
.L8:
	movl	-1652(%rbp), %eax
	cmpl	%eax, -1620(%rbp)
	jle	.L9
	movl	$0, -1632(%rbp)
	jmp	.L10
.L11:
	addl	$1, -1632(%rbp)
.L10:
	movl	-1632(%rbp), %eax
	imull	%eax, %eax
	cmpl	%eax, -1636(%rbp)
	jg	.L11
	movl	-1632(%rbp), %eax
	imull	%eax, %eax
	cmpl	%eax, -1636(%rbp)
	jne	.L12
	addl	$1, -1648(%rbp)
.L12:
	addl	$1, -1624(%rbp)
.L7:
	movl	-1656(%rbp), %eax
	cmpl	%eax, -1624(%rbp)
	jle	.L13
	addl	$1, -1628(%rbp)
.L6:
	movl	-1656(%rbp), %eax
	cmpl	%eax, -1628(%rbp)
	jl	.L14
	movl	-1648(%rbp), %eax
	movl	%eax, %esi
	leaq	.LC2(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	printf@PLT
	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
.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 %d"
.LC1:
	.string	"%d"
.LC2:
	.string	"%d\n"
	.section	.text.startup,"ax",@progbits
	.p2align 4
	.globl	main
	.type	main, @function
main:
.LFB23:
	.cfi_startproc
	endbr64
	pushq	%r15
	.cfi_def_cfa_offset 16
	.cfi_offset 15, -16
	leaq	.LC0(%rip), %rdi
	pushq	%r14
	.cfi_def_cfa_offset 24
	.cfi_offset 14, -24
	pushq	%r13
	.cfi_def_cfa_offset 32
	.cfi_offset 13, -32
	pushq	%r12
	.cfi_def_cfa_offset 40
	.cfi_offset 12, -40
	pushq	%rbp
	.cfi_def_cfa_offset 48
	.cfi_offset 6, -48
	pushq	%rbx
	.cfi_def_cfa_offset 56
	.cfi_offset 3, -56
	subq	$1656, %rsp
	.cfi_def_cfa_offset 1712
	movq	%fs:40, %rax
	movq	%rax, 1640(%rsp)
	xorl	%eax, %eax
	leaq	28(%rsp), %rdx
	leaq	24(%rsp), %rsi
	call	__isoc99_scanf@PLT
	movl	24(%rsp), %eax
	testl	%eax, %eax
	jle	.L23
	movl	28(%rsp), %ecx
	leaq	116(%rsp), %r13
	movl	$1, %r12d
	leaq	.LC1(%rip), %rbp
	testl	%ecx, %ecx
	jle	.L41
	.p2align 4,,10
	.p2align 3
.L24:
	movq	%r13, %r14
	movl	$1, %ebx
	.p2align 4,,10
	.p2align 3
.L4:
	movq	%r14, %rsi
	movq	%rbp, %rdi
	xorl	%eax, %eax
	addl	$1, %ebx
	call	__isoc99_scanf@PLT
	movl	28(%rsp), %ecx
	addq	$4, %r14
	cmpl	%ebx, %ecx
	jge	.L4
	movl	24(%rsp), %eax
	addl	$1, %r12d
	cmpl	%r12d, %eax
	jl	.L42
	addq	$80, %r13
	testl	%ecx, %ecx
	jg	.L24
.L41:
	movl	%eax, 12(%rsp)
	cmpl	%r12d, %eax
	jle	.L6
.L7:
	movl	%ecx, %r13d
	movl	12(%rsp), %edi
	movl	%ecx, %ebx
	leal	-1(%rcx), %r12d
	andl	$-4, %r13d
	leaq	196(%rsp), %r10
	shrl	$2, %ebx
	xorl	%r14d, %r14d
	leal	1(%r13), %eax
	leal	1(%rdi), %ebp
	movl	%eax, 4(%rsp)
	movl	$1, %eax
	leal	1(%rax), %r9d
	movl	%r9d, 8(%rsp)
	cmpl	12(%rsp), %r9d
	jg	.L9
	.p2align 4,,10
	.p2align 3
.L43:
	leaq	(%rax,%rax,4), %r11
	movq	%r10, %rdi
	salq	$2, %r11
	.p2align 4,,10
	.p2align 3
.L10:
	testl	%ecx, %ecx
	jle	.L19
	cmpl	$2, %r12d
	jbe	.L25
	movdqu	-80(%r10), %xmm1
	movdqu	(%rdi), %xmm3
	psubd	%xmm3, %xmm1
	movdqa	%xmm1, %xmm0
	pmuludq	%xmm1, %xmm0
	psrlq	$32, %xmm1
	pmuludq	%xmm1, %xmm1
	pshufd	$8, %xmm0, %xmm0
	pshufd	$8, %xmm1, %xmm1
	punpckldq	%xmm1, %xmm0
	cmpl	$1, %ebx
	jbe	.L12
	movdqu	-64(%r10), %xmm1
	movdqu	16(%rdi), %xmm4
	psubd	%xmm4, %xmm1
	movdqa	%xmm1, %xmm2
	pmuludq	%xmm1, %xmm2
	psrlq	$32, %xmm1
	pmuludq	%xmm1, %xmm1
	pshufd	$8, %xmm2, %xmm2
	pshufd	$8, %xmm1, %xmm1
	punpckldq	%xmm1, %xmm2
	paddd	%xmm2, %xmm0
	cmpl	$2, %ebx
	je	.L12
	movdqu	-48(%r10), %xmm1
	movdqu	32(%rdi), %xmm5
	psubd	%xmm5, %xmm1
	movdqa	%xmm1, %xmm2
	pmuludq	%xmm1, %xmm2
	psrlq	$32, %xmm1
	pmuludq	%xmm1, %xmm1
	pshufd	$8, %xmm2, %xmm2
	pshufd	$8, %xmm1, %xmm1
	punpckldq	%xmm1, %xmm2
	paddd	%xmm2, %xmm0
	cmpl	$3, %ebx
	je	.L12
	movdqu	-32(%r10), %xmm1
	movdqu	48(%rdi), %xmm6
	psubd	%xmm6, %xmm1
	movdqa	%xmm1, %xmm2
	pmuludq	%xmm1, %xmm2
	psrlq	$32, %xmm1
	pmuludq	%xmm1, %xmm1
	pshufd	$8, %xmm2, %xmm2
	pshufd	$8, %xmm1, %xmm1
	punpckldq	%xmm1, %xmm2
	paddd	%xmm2, %xmm0
.L12:
	movdqa	%xmm0, %xmm1
	psrldq	$8, %xmm1
	paddd	%xmm1, %xmm0
	movdqa	%xmm0, %xmm1
	psrldq	$4, %xmm1
	paddd	%xmm1, %xmm0
	movd	%xmm0, %eax
	cmpl	%ecx, %r13d
	je	.L13
	movl	4(%rsp), %edx
.L11:
	movslq	%r9d, %r8
	movslq	%edx, %r15
	leaq	(%r8,%r8,4), %r8
	leaq	(%r11,%r15), %rsi
	salq	$2, %r8
	movl	32(%rsp,%rsi,4), %esi
	addq	%r8, %r15
	subl	32(%rsp,%r15,4), %esi
	imull	%esi, %esi
	addl	%esi, %eax
	leal	1(%rdx), %esi
	cmpl	%ecx, %esi
	jg	.L13
	movslq	%esi, %rsi
	addl	$2, %edx
	leaq	(%r11,%rsi), %r15
	addq	%r8, %rsi
	movl	32(%rsp,%r15,4), %r15d
	subl	32(%rsp,%rsi,4), %r15d
	imull	%r15d, %r15d
	addl	%r15d, %eax
	cmpl	%edx, %ecx
	jl	.L13
	movslq	%edx, %rdx
	addq	%rdx, %r8
	leaq	(%r11,%rdx), %rsi
	movl	32(%rsp,%rsi,4), %edx
	subl	32(%rsp,%r8,4), %edx
	imull	%edx, %edx
	addl	%edx, %eax
.L13:
	testl	%eax, %eax
	jle	.L26
	xorl	%edx, %edx
	.p2align 4,,10
	.p2align 3
.L15:
	addl	$1, %edx
	movl	%edx, %esi
	imull	%edx, %esi
	cmpl	%eax, %esi
	jl	.L15
.L14:
	cmpl	%eax, %esi
	je	.L19
.L16:
	addl	$1, %r9d
	addq	$80, %rdi
	cmpl	%ebp, %r9d
	jne	.L10
	movl	12(%rsp), %edi
	addq	$80, %r10
	cmpl	%edi, 8(%rsp)
	je	.L2
.L21:
	movslq	8(%rsp), %rax
	leal	1(%rax), %r9d
	movl	%r9d, 8(%rsp)
	cmpl	12(%rsp), %r9d
	jle	.L43
.L9:
	addq	$80, %r10
	jmp	.L21
	.p2align 4,,10
	.p2align 3
.L19:
	addl	$1, %r14d
	jmp	.L16
.L25:
	movl	$1, %edx
	xorl	%eax, %eax
	jmp	.L11
.L26:
	xorl	%esi, %esi
	jmp	.L14
.L42:
	movl	%eax, 12(%rsp)
.L6:
	cmpl	$1, 12(%rsp)
	jg	.L7
.L23:
	xorl	%r14d, %r14d
.L2:
	xorl	%eax, %eax
	movl	%r14d, %edx
	movl	$1, %edi
	leaq	.LC2(%rip), %rsi
	call	__printf_chk@PLT
	movq	1640(%rsp), %rax
	subq	%fs:40, %rax
	jne	.L44
	addq	$1656, %rsp
	.cfi_remember_state
	.cfi_def_cfa_offset 56
	xorl	%eax, %eax
	popq	%rbx
	.cfi_def_cfa_offset 48
	popq	%rbp
	.cfi_def_cfa_offset 40
	popq	%r12
	.cfi_def_cfa_offset 32
	popq	%r13
	.cfi_def_cfa_offset 24
	popq	%r14
	.cfi_def_cfa_offset 16
	popq	%r15
	.cfi_def_cfa_offset 8
	ret
.L44:
	.cfi_restore_state
	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 %d"
.LC1:
	.string	"%d"
.LC2:
	.string	"%d\n"
	.section	.text.startup,"ax",@progbits
	.p2align 4
	.globl	main
	.type	main, @function
main:
.LFB23:
	.cfi_startproc
	endbr64
	pushq	%r15
	.cfi_def_cfa_offset 16
	.cfi_offset 15, -16
	leaq	.LC0(%rip), %rdi
	pushq	%r14
	.cfi_def_cfa_offset 24
	.cfi_offset 14, -24
	pushq	%r13
	.cfi_def_cfa_offset 32
	.cfi_offset 13, -32
	pushq	%r12
	.cfi_def_cfa_offset 40
	.cfi_offset 12, -40
	pushq	%rbp
	.cfi_def_cfa_offset 48
	.cfi_offset 6, -48
	pushq	%rbx
	.cfi_def_cfa_offset 56
	.cfi_offset 3, -56
	subq	$1656, %rsp
	.cfi_def_cfa_offset 1712
	movq	%fs:40, %rax
	movq	%rax, 1640(%rsp)
	xorl	%eax, %eax
	leaq	28(%rsp), %rdx
	leaq	24(%rsp), %rsi
	call	__isoc99_scanf@PLT
	movl	24(%rsp), %eax
	testl	%eax, %eax
	jle	.L23
	movl	28(%rsp), %ecx
	leaq	116(%rsp), %r13
	movl	$1, %r12d
	leaq	.LC1(%rip), %rbp
	testl	%ecx, %ecx
	jle	.L41
	.p2align 4,,10
	.p2align 3
.L24:
	movq	%r13, %r14
	movl	$1, %ebx
	.p2align 4,,10
	.p2align 3
.L4:
	movq	%r14, %rsi
	movq	%rbp, %rdi
	xorl	%eax, %eax
	addl	$1, %ebx
	call	__isoc99_scanf@PLT
	movl	28(%rsp), %ecx
	addq	$4, %r14
	cmpl	%ebx, %ecx
	jge	.L4
	movl	24(%rsp), %eax
	addl	$1, %r12d
	cmpl	%r12d, %eax
	jl	.L42
	addq	$80, %r13
	testl	%ecx, %ecx
	jg	.L24
.L41:
	movl	%eax, 12(%rsp)
	cmpl	%r12d, %eax
	jle	.L6
.L7:
	movl	%ecx, %r13d
	movl	12(%rsp), %edi
	movl	%ecx, %ebx
	leal	-1(%rcx), %r12d
	andl	$-4, %r13d
	leaq	196(%rsp), %r10
	shrl	$2, %ebx
	xorl	%r14d, %r14d
	leal	1(%r13), %eax
	leal	1(%rdi), %ebp
	movl	%eax, 4(%rsp)
	movl	$1, %eax
	leal	1(%rax), %r9d
	movl	%r9d, 8(%rsp)
	cmpl	12(%rsp), %r9d
	jg	.L9
	.p2align 4,,10
	.p2align 3
.L43:
	leaq	(%rax,%rax,4), %r11
	movq	%r10, %rdi
	salq	$2, %r11
	.p2align 4,,10
	.p2align 3
.L10:
	testl	%ecx, %ecx
	jle	.L19
	cmpl	$2, %r12d
	jbe	.L25
	movdqu	-80(%r10), %xmm1
	movdqu	(%rdi), %xmm3
	psubd	%xmm3, %xmm1
	movdqa	%xmm1, %xmm0
	pmuludq	%xmm1, %xmm0
	psrlq	$32, %xmm1
	pmuludq	%xmm1, %xmm1
	pshufd	$8, %xmm0, %xmm0
	pshufd	$8, %xmm1, %xmm1
	punpckldq	%xmm1, %xmm0
	cmpl	$1, %ebx
	jbe	.L12
	movdqu	-64(%r10), %xmm1
	movdqu	16(%rdi), %xmm4
	psubd	%xmm4, %xmm1
	movdqa	%xmm1, %xmm2
	pmuludq	%xmm1, %xmm2
	psrlq	$32, %xmm1
	pmuludq	%xmm1, %xmm1
	pshufd	$8, %xmm2, %xmm2
	pshufd	$8, %xmm1, %xmm1
	punpckldq	%xmm1, %xmm2
	paddd	%xmm2, %xmm0
	cmpl	$2, %ebx
	je	.L12
	movdqu	-48(%r10), %xmm1
	movdqu	32(%rdi), %xmm5
	psubd	%xmm5, %xmm1
	movdqa	%xmm1, %xmm2
	pmuludq	%xmm1, %xmm2
	psrlq	$32, %xmm1
	pmuludq	%xmm1, %xmm1
	pshufd	$8, %xmm2, %xmm2
	pshufd	$8, %xmm1, %xmm1
	punpckldq	%xmm1, %xmm2
	paddd	%xmm2, %xmm0
	cmpl	$3, %ebx
	je	.L12
	movdqu	-32(%r10), %xmm1
	movdqu	48(%rdi), %xmm6
	psubd	%xmm6, %xmm1
	movdqa	%xmm1, %xmm2
	pmuludq	%xmm1, %xmm2
	psrlq	$32, %xmm1
	pmuludq	%xmm1, %xmm1
	pshufd	$8, %xmm2, %xmm2
	pshufd	$8, %xmm1, %xmm1
	punpckldq	%xmm1, %xmm2
	paddd	%xmm2, %xmm0
.L12:
	movdqa	%xmm0, %xmm1
	psrldq	$8, %xmm1
	paddd	%xmm1, %xmm0
	movdqa	%xmm0, %xmm1
	psrldq	$4, %xmm1
	paddd	%xmm1, %xmm0
	movd	%xmm0, %eax
	cmpl	%ecx, %r13d
	je	.L13
	movl	4(%rsp), %edx
.L11:
	movslq	%r9d, %r8
	movslq	%edx, %r15
	leaq	(%r8,%r8,4), %r8
	leaq	(%r11,%r15), %rsi
	salq	$2, %r8
	movl	32(%rsp,%rsi,4), %esi
	addq	%r8, %r15
	subl	32(%rsp,%r15,4), %esi
	imull	%esi, %esi
	addl	%esi, %eax
	leal	1(%rdx), %esi
	cmpl	%ecx, %esi
	jg	.L13
	movslq	%esi, %rsi
	addl	$2, %edx
	leaq	(%r11,%rsi), %r15
	addq	%r8, %rsi
	movl	32(%rsp,%r15,4), %r15d
	subl	32(%rsp,%rsi,4), %r15d
	imull	%r15d, %r15d
	addl	%r15d, %eax
	cmpl	%edx, %ecx
	jl	.L13
	movslq	%edx, %rdx
	addq	%rdx, %r8
	leaq	(%r11,%rdx), %rsi
	movl	32(%rsp,%rsi,4), %edx
	subl	32(%rsp,%r8,4), %edx
	imull	%edx, %edx
	addl	%edx, %eax
.L13:
	testl	%eax, %eax
	jle	.L26
	xorl	%edx, %edx
	.p2align 4,,10
	.p2align 3
.L15:
	addl	$1, %edx
	movl	%edx, %esi
	imull	%edx, %esi
	cmpl	%eax, %esi
	jl	.L15
.L14:
	cmpl	%eax, %esi
	je	.L19
.L16:
	addl	$1, %r9d
	addq	$80, %rdi
	cmpl	%ebp, %r9d
	jne	.L10
	movl	12(%rsp), %edi
	addq	$80, %r10
	cmpl	%edi, 8(%rsp)
	je	.L2
.L21:
	movslq	8(%rsp), %rax
	leal	1(%rax), %r9d
	movl	%r9d, 8(%rsp)
	cmpl	12(%rsp), %r9d
	jle	.L43
.L9:
	addq	$80, %r10
	jmp	.L21
	.p2align 4,,10
	.p2align 3
.L19:
	addl	$1, %r14d
	jmp	.L16
.L25:
	movl	$1, %edx
	xorl	%eax, %eax
	jmp	.L11
.L26:
	xorl	%esi, %esi
	jmp	.L14
.L42:
	movl	%eax, 12(%rsp)
.L6:
	cmpl	$1, 12(%rsp)
	jg	.L7
.L23:
	xorl	%r14d, %r14d
.L2:
	xorl	%eax, %eax
	movl	%r14d, %edx
	movl	$1, %edi
	leaq	.LC2(%rip), %rsi
	call	__printf_chk@PLT
	movq	1640(%rsp), %rax
	subq	%fs:40, %rax
	jne	.L44
	addq	$1656, %rsp
	.cfi_remember_state
	.cfi_def_cfa_offset 56
	xorl	%eax, %eax
	popq	%rbx
	.cfi_def_cfa_offset 48
	popq	%rbp
	.cfi_def_cfa_offset 40
	popq	%r12
	.cfi_def_cfa_offset 32
	popq	%r13
	.cfi_def_cfa_offset 24
	popq	%r14
	.cfi_def_cfa_offset 16
	popq	%r15
	.cfi_def_cfa_offset 8
	ret
.L44:
	.cfi_restore_state
	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,D,X[20][20],S=0;
  scanf("%d %d",&N,&D);
  for(int i=1;i<=N;i++){
    for(int j=1;j<=D;j++){
      scanf("%d",&X[i][j]);
    }
  }
  int d,p;
  for(int i=1;i<N;i++){
    for(int j=i+1;j<=N;j++){
      d=0;
      for(int k=1;k<=D;k++){
        d+=(X[i][k]-X[j][k])*(X[i][k]-X[j][k]);
      }
      p=0;
      while(p*p<d) p++;
      if(p*p==d) S++;
    }
  }
  printf("%d\n",S);
  return 0;
}
3 4
-3 7 8 2
-12 1 10 2
-2 8 9 0
 1 1
1
2
3
4
5
 5 1
0
2
3
4
5
 3 2
1 8
5 5
-2 8
 3 2
1 4
5 5
-2 8
 3 4
-3 7 8 2
-12 1 10 2
-2 8 13 0
 3 2
2 4
5 5
-2 8
 0 1
1
2
3
4
5
 3 4
-3 7 8 2
-18 1 10 2
-2 8 13 0
 3 2
0 4
5 5
-2 8

1
 0
 10
 2
 1
 1
 0
 0
 0
 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,D,X[20][20],S=0;
  scanf("%d %d",&N,&D);
  for(int i=1;i<=N;i++){
    for(int j=1;j<=D;j++){
      scanf("%d",&X[i][j]);
    }
  }
  int d,p;
  for(int i=1;i<N;i++){
    for(int j=i+1;j<=N;j++){
      d=0;
      for(int k=1;k<=D;k++){
        d+=(X[i][k]-X[j][k])*(X[i][k]-X[j][k]);
      }
      p=0;
      while(p*p<d) p++;
      if(p*p==d) S++;
    }
  }
  printf("%d\n",S);
  return 0;
}```

Unoptimized Assembly Code:

```assembly
	.file	"temp.c"
	.text
	.section	.rodata
.LC0:
	.string	"%d %d"
.LC1:
	.string	"%d"
.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	$1664, %rsp
	movq	%fs:40, %rax
	movq	%rax, -8(%rbp)
	xorl	%eax, %eax
	movl	$0, -1648(%rbp)
	leaq	-1652(%rbp), %rdx
	leaq	-1656(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movl	$1, -1644(%rbp)
	jmp	.L2
.L5:
	movl	$1, -1640(%rbp)
	jmp	.L3
.L4:
	leaq	-1616(%rbp), %rcx
	movl	-1640(%rbp), %eax
	movslq	%eax, %rsi
	movl	-1644(%rbp), %eax
	movslq	%eax, %rdx
	movq	%rdx, %rax
	salq	$2, %rax
	addq	%rdx, %rax
	salq	$2, %rax
	addq	%rsi, %rax
	salq	$2, %rax
	addq	%rcx, %rax
	movq	%rax, %rsi
	leaq	.LC1(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	addl	$1, -1640(%rbp)
.L3:
	movl	-1652(%rbp), %eax
	cmpl	%eax, -1640(%rbp)
	jle	.L4
	addl	$1, -1644(%rbp)
.L2:
	movl	-1656(%rbp), %eax
	cmpl	%eax, -1644(%rbp)
	jle	.L5
	movl	$1, -1628(%rbp)
	jmp	.L6
.L14:
	movl	-1628(%rbp), %eax
	addl	$1, %eax
	movl	%eax, -1624(%rbp)
	jmp	.L7
.L13:
	movl	$0, -1636(%rbp)
	movl	$1, -1620(%rbp)
	jmp	.L8
.L9:
	movl	-1620(%rbp), %eax
	movslq	%eax, %rcx
	movl	-1628(%rbp), %eax
	movslq	%eax, %rdx
	movq	%rdx, %rax
	salq	$2, %rax
	addq	%rdx, %rax
	salq	$2, %rax
	addq	%rcx, %rax
	movl	-1616(%rbp,%rax,4), %ecx
	movl	-1620(%rbp), %eax
	movslq	%eax, %rsi
	movl	-1624(%rbp), %eax
	movslq	%eax, %rdx
	movq	%rdx, %rax
	salq	$2, %rax
	addq	%rdx, %rax
	salq	$2, %rax
	addq	%rsi, %rax
	movl	-1616(%rbp,%rax,4), %eax
	movl	%ecx, %esi
	subl	%eax, %esi
	movl	-1620(%rbp), %eax
	movslq	%eax, %rcx
	movl	-1628(%rbp), %eax
	movslq	%eax, %rdx
	movq	%rdx, %rax
	salq	$2, %rax
	addq	%rdx, %rax
	salq	$2, %rax
	addq	%rcx, %rax
	movl	-1616(%rbp,%rax,4), %ecx
	movl	-1620(%rbp), %eax
	movslq	%eax, %rdi
	movl	-1624(%rbp), %eax
	movslq	%eax, %rdx
	movq	%rdx, %rax
	salq	$2, %rax
	addq	%rdx, %rax
	salq	$2, %rax
	addq	%rdi, %rax
	movl	-1616(%rbp,%rax,4), %edx
	movl	%ecx, %eax
	subl	%edx, %eax
	imull	%esi, %eax
	addl	%eax, -1636(%rbp)
	addl	$1, -1620(%rbp)
.L8:
	movl	-1652(%rbp), %eax
	cmpl	%eax, -1620(%rbp)
	jle	.L9
	movl	$0, -1632(%rbp)
	jmp	.L10
.L11:
	addl	$1, -1632(%rbp)
.L10:
	movl	-1632(%rbp), %eax
	imull	%eax, %eax
	cmpl	%eax, -1636(%rbp)
	jg	.L11
	movl	-1632(%rbp), %eax
	imull	%eax, %eax
	cmpl	%eax, -1636(%rbp)
	jne	.L12
	addl	$1, -1648(%rbp)
.L12:
	addl	$1, -1624(%rbp)
.L7:
	movl	-1656(%rbp), %eax
	cmpl	%eax, -1624(%rbp)
	jle	.L13
	addl	$1, -1628(%rbp)
.L6:
	movl	-1656(%rbp), %eax
	cmpl	%eax, -1628(%rbp)
	jl	.L14
	movl	-1648(%rbp), %eax
	movl	%eax, %esi
	leaq	.LC2(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	printf@PLT
	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
.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 %d"
.LC1:
	.string	"%d"
.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	$1664, %rsp
	movq	%fs:40, %rax
	movq	%rax, -8(%rbp)
	xorl	%eax, %eax
	movl	$0, -1648(%rbp)
	leaq	-1652(%rbp), %rdx
	leaq	-1656(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movl	$1, -1644(%rbp)
	jmp	.L2
.L5:
	movl	$1, -1640(%rbp)
	jmp	.L3
.L4:
	leaq	-1616(%rbp), %rcx
	movl	-1640(%rbp), %eax
	movslq	%eax, %rsi
	movl	-1644(%rbp), %eax
	movslq	%eax, %rdx
	movq	%rdx, %rax
	salq	$2, %rax
	addq	%rdx, %rax
	salq	$2, %rax
	addq	%rsi, %rax
	salq	$2, %rax
	addq	%rcx, %rax
	movq	%rax, %rsi
	leaq	.LC1(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	addl	$1, -1640(%rbp)
.L3:
	movl	-1652(%rbp), %eax
	cmpl	%eax, -1640(%rbp)
	jle	.L4
	addl	$1, -1644(%rbp)
.L2:
	movl	-1656(%rbp), %eax
	cmpl	%eax, -1644(%rbp)
	jle	.L5
	movl	$1, -1628(%rbp)
	jmp	.L6
.L14:
	movl	-1628(%rbp), %eax
	addl	$1, %eax
	movl	%eax, -1624(%rbp)
	jmp	.L7
.L13:
	movl	$0, -1636(%rbp)
	movl	$1, -1620(%rbp)
	jmp	.L8
.L9:
	movl	-1620(%rbp), %eax
	movslq	%eax, %rcx
	movl	-1628(%rbp), %eax
	movslq	%eax, %rdx
	movq	%rdx, %rax
	salq	$2, %rax
	addq	%rdx, %rax
	salq	$2, %rax
	addq	%rcx, %rax
	movl	-1616(%rbp,%rax,4), %ecx
	movl	-1620(%rbp), %eax
	movslq	%eax, %rsi
	movl	-1624(%rbp), %eax
	movslq	%eax, %rdx
	movq	%rdx, %rax
	salq	$2, %rax
	addq	%rdx, %rax
	salq	$2, %rax
	addq	%rsi, %rax
	movl	-1616(%rbp,%rax,4), %eax
	movl	%ecx, %esi
	subl	%eax, %esi
	movl	-1620(%rbp), %eax
	movslq	%eax, %rcx
	movl	-1628(%rbp), %eax
	movslq	%eax, %rdx
	movq	%rdx, %rax
	salq	$2, %rax
	addq	%rdx, %rax
	salq	$2, %rax
	addq	%rcx, %rax
	movl	-1616(%rbp,%rax,4), %ecx
	movl	-1620(%rbp), %eax
	movslq	%eax, %rdi
	movl	-1624(%rbp), %eax
	movslq	%eax, %rdx
	movq	%rdx, %rax
	salq	$2, %rax
	addq	%rdx, %rax
	salq	$2, %rax
	addq	%rdi, %rax
	movl	-1616(%rbp,%rax,4), %edx
	movl	%ecx, %eax
	subl	%edx, %eax
	imull	%esi, %eax
	addl	%eax, -1636(%rbp)
	addl	$1, -1620(%rbp)
.L8:
	movl	-1652(%rbp), %eax
	cmpl	%eax, -1620(%rbp)
	jle	.L9
	movl	$0, -1632(%rbp)
	jmp	.L10
.L11:
	addl	$1, -1632(%rbp)
.L10:
	movl	-1632(%rbp), %eax
	imull	%eax, %eax
	cmpl	%eax, -1636(%rbp)
	jg	.L11
	movl	-1632(%rbp), %eax
	imull	%eax, %eax
	cmpl	%eax, -1636(%rbp)
	jne	.L12
	addl	$1, -1648(%rbp)
.L12:
	addl	$1, -1624(%rbp)
.L7:
	movl	-1656(%rbp), %eax
	cmpl	%eax, -1624(%rbp)
	jle	.L13
	addl	$1, -1628(%rbp)
.L6:
	movl	-1656(%rbp), %eax
	cmpl	%eax, -1628(%rbp)
	jl	.L14
	movl	-1648(%rbp), %eax
	movl	%eax, %esi
	leaq	.LC2(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	printf@PLT
	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
.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:
