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 <stdlib.h>

int max(int a,int b){
  if(a > b){
    return a;
  }
  return b;
}

int main(void){
  int N;
  scanf("%d",&N);

  int x[N],y[N];
  for (int i = 0; i < N; i++) {
    scanf("%d%d",&x[i],&y[i]);
  }

  int ans = 0;
  for (int i = 0; i < N; i++) {
    for (int j = 0; j < N; j++) {
      if(i == j) continue;
      int p = x[i]-x[j];
      int q = y[i]-y[j];
      int cnt = 0;
      for (int a = 0; a < N; a++) {
        for (int b = 0; b < N; b++) {
          if(a == b) continue;
          if(x[a]-x[b] == p && y[a]-y[b] == q) cnt++;
        }
      }
      ans = max(ans,cnt);
    }
  }

  printf("%d\n",N-ans);

  return 0;
}```

Unoptimized Assembly Code:

```assembly
	.file	"temp.c"
	.text
	.globl	max
	.type	max, @function
max:
.LFB6:
	.cfi_startproc
	endbr64
	pushq	%rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	movq	%rsp, %rbp
	.cfi_def_cfa_register 6
	movl	%edi, -4(%rbp)
	movl	%esi, -8(%rbp)
	movl	-4(%rbp), %eax
	cmpl	-8(%rbp), %eax
	jle	.L2
	movl	-4(%rbp), %eax
	jmp	.L3
.L2:
	movl	-8(%rbp), %eax
.L3:
	popq	%rbp
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE6:
	.size	max, .-max
	.section	.rodata
.LC0:
	.string	"%d"
.LC1:
	.string	"%d%d"
.LC2:
	.string	"%d\n"
	.text
	.globl	main
	.type	main, @function
main:
.LFB7:
	.cfi_startproc
	endbr64
	pushq	%rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	movq	%rsp, %rbp
	.cfi_def_cfa_register 6
	pushq	%r15
	pushq	%r14
	pushq	%r13
	pushq	%r12
	pushq	%rbx
	subq	$120, %rsp
	.cfi_offset 15, -24
	.cfi_offset 14, -32
	.cfi_offset 13, -40
	.cfi_offset 12, -48
	.cfi_offset 3, -56
	movq	%fs:40, %rax
	movq	%rax, -56(%rbp)
	xorl	%eax, %eax
	movq	%rsp, %rax
	movq	%rax, %rbx
	leaq	-128(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movl	-128(%rbp), %eax
	movslq	%eax, %rdx
	subq	$1, %rdx
	movq	%rdx, -88(%rbp)
	movslq	%eax, %rdx
	movq	%rdx, -144(%rbp)
	movq	$0, -136(%rbp)
	movslq	%eax, %rdx
	movq	%rdx, -160(%rbp)
	movq	$0, -152(%rbp)
	cltq
	leaq	0(,%rax,4), %rdx
	movl	$16, %eax
	subq	$1, %rax
	addq	%rdx, %rax
	movl	$16, %esi
	movl	$0, %edx
	divq	%rsi
	imulq	$16, %rax, %rax
	movq	%rax, %rcx
	andq	$-4096, %rcx
	movq	%rsp, %rdx
	subq	%rcx, %rdx
.L5:
	cmpq	%rdx, %rsp
	je	.L6
	subq	$4096, %rsp
	orq	$0, 4088(%rsp)
	jmp	.L5
.L6:
	movq	%rax, %rdx
	andl	$4095, %edx
	subq	%rdx, %rsp
	movq	%rax, %rdx
	andl	$4095, %edx
	testq	%rdx, %rdx
	je	.L7
	andl	$4095, %eax
	subq	$8, %rax
	addq	%rsp, %rax
	orq	$0, (%rax)
.L7:
	movq	%rsp, %rax
	addq	$3, %rax
	shrq	$2, %rax
	salq	$2, %rax
	movq	%rax, -80(%rbp)
	movl	-128(%rbp), %eax
	movslq	%eax, %rdx
	subq	$1, %rdx
	movq	%rdx, -72(%rbp)
	movslq	%eax, %rdx
	movq	%rdx, %r14
	movl	$0, %r15d
	movslq	%eax, %rdx
	movq	%rdx, %r12
	movl	$0, %r13d
	cltq
	leaq	0(,%rax,4), %rdx
	movl	$16, %eax
	subq	$1, %rax
	addq	%rdx, %rax
	movl	$16, %edi
	movl	$0, %edx
	divq	%rdi
	imulq	$16, %rax, %rax
	movq	%rax, %rcx
	andq	$-4096, %rcx
	movq	%rsp, %rdx
	subq	%rcx, %rdx
.L8:
	cmpq	%rdx, %rsp
	je	.L9
	subq	$4096, %rsp
	orq	$0, 4088(%rsp)
	jmp	.L8
.L9:
	movq	%rax, %rdx
	andl	$4095, %edx
	subq	%rdx, %rsp
	movq	%rax, %rdx
	andl	$4095, %edx
	testq	%rdx, %rdx
	je	.L10
	andl	$4095, %eax
	subq	$8, %rax
	addq	%rsp, %rax
	orq	$0, (%rax)
.L10:
	movq	%rsp, %rax
	addq	$3, %rax
	shrq	$2, %rax
	salq	$2, %rax
	movq	%rax, -64(%rbp)
	movl	$0, -124(%rbp)
	jmp	.L11
.L12:
	movl	-124(%rbp), %eax
	cltq
	leaq	0(,%rax,4), %rdx
	movq	-64(%rbp), %rax
	addq	%rax, %rdx
	movl	-124(%rbp), %eax
	cltq
	leaq	0(,%rax,4), %rcx
	movq	-80(%rbp), %rax
	addq	%rcx, %rax
	movq	%rax, %rsi
	leaq	.LC1(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	addl	$1, -124(%rbp)
.L11:
	movl	-128(%rbp), %eax
	cmpl	%eax, -124(%rbp)
	jl	.L12
	movl	$0, -120(%rbp)
	movl	$0, -116(%rbp)
	jmp	.L13
.L24:
	movl	$0, -112(%rbp)
	jmp	.L14
.L23:
	movl	-116(%rbp), %eax
	cmpl	-112(%rbp), %eax
	je	.L27
	movq	-80(%rbp), %rax
	movl	-116(%rbp), %edx
	movslq	%edx, %rdx
	movl	(%rax,%rdx,4), %ecx
	movq	-80(%rbp), %rax
	movl	-112(%rbp), %edx
	movslq	%edx, %rdx
	movl	(%rax,%rdx,4), %edx
	movl	%ecx, %eax
	subl	%edx, %eax
	movl	%eax, -96(%rbp)
	movq	-64(%rbp), %rax
	movl	-116(%rbp), %edx
	movslq	%edx, %rdx
	movl	(%rax,%rdx,4), %ecx
	movq	-64(%rbp), %rax
	movl	-112(%rbp), %edx
	movslq	%edx, %rdx
	movl	(%rax,%rdx,4), %edx
	movl	%ecx, %eax
	subl	%edx, %eax
	movl	%eax, -92(%rbp)
	movl	$0, -108(%rbp)
	movl	$0, -104(%rbp)
	jmp	.L17
.L22:
	movl	$0, -100(%rbp)
	jmp	.L18
.L21:
	movl	-104(%rbp), %eax
	cmpl	-100(%rbp), %eax
	je	.L28
	movq	-80(%rbp), %rax
	movl	-104(%rbp), %edx
	movslq	%edx, %rdx
	movl	(%rax,%rdx,4), %ecx
	movq	-80(%rbp), %rax
	movl	-100(%rbp), %edx
	movslq	%edx, %rdx
	movl	(%rax,%rdx,4), %edx
	movl	%ecx, %eax
	subl	%edx, %eax
	cmpl	%eax, -96(%rbp)
	jne	.L20
	movq	-64(%rbp), %rax
	movl	-104(%rbp), %edx
	movslq	%edx, %rdx
	movl	(%rax,%rdx,4), %ecx
	movq	-64(%rbp), %rax
	movl	-100(%rbp), %edx
	movslq	%edx, %rdx
	movl	(%rax,%rdx,4), %edx
	movl	%ecx, %eax
	subl	%edx, %eax
	cmpl	%eax, -92(%rbp)
	jne	.L20
	addl	$1, -108(%rbp)
	jmp	.L20
.L28:
	nop
.L20:
	addl	$1, -100(%rbp)
.L18:
	movl	-128(%rbp), %eax
	cmpl	%eax, -100(%rbp)
	jl	.L21
	addl	$1, -104(%rbp)
.L17:
	movl	-128(%rbp), %eax
	cmpl	%eax, -104(%rbp)
	jl	.L22
	movl	-108(%rbp), %edx
	movl	-120(%rbp), %eax
	movl	%edx, %esi
	movl	%eax, %edi
	call	max
	movl	%eax, -120(%rbp)
	jmp	.L16
.L27:
	nop
.L16:
	addl	$1, -112(%rbp)
.L14:
	movl	-128(%rbp), %eax
	cmpl	%eax, -112(%rbp)
	jl	.L23
	addl	$1, -116(%rbp)
.L13:
	movl	-128(%rbp), %eax
	cmpl	%eax, -116(%rbp)
	jl	.L24
	movl	-128(%rbp), %eax
	subl	-120(%rbp), %eax
	movl	%eax, %esi
	leaq	.LC2(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	printf@PLT
	movl	$0, %eax
	movq	%rbx, %rsp
	movq	-56(%rbp), %rdx
	subq	%fs:40, %rdx
	je	.L26
	call	__stack_chk_fail@PLT
.L26:
	leaq	-40(%rbp), %rsp
	popq	%rbx
	popq	%r12
	popq	%r13
	popq	%r14
	popq	%r15
	popq	%rbp
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE7:
	.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	max
	.type	max, @function
max:
.LFB39:
	.cfi_startproc
	endbr64
	cmpl	%esi, %edi
	movl	%esi, %eax
	cmovge	%edi, %eax
	ret
	.cfi_endproc
.LFE39:
	.size	max, .-max
	.section	.rodata.str1.1,"aMS",@progbits,1
.LC0:
	.string	"%d"
.LC1:
	.string	"%d%d"
.LC2:
	.string	"%d\n"
	.section	.text.startup,"ax",@progbits
	.p2align 4
	.globl	main
	.type	main, @function
main:
.LFB40:
	.cfi_startproc
	endbr64
	pushq	%rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	leaq	.LC0(%rip), %rdi
	movq	%rsp, %rbp
	.cfi_def_cfa_register 6
	pushq	%r15
	pushq	%r14
	leaq	-60(%rbp), %rsi
	pushq	%r13
	pushq	%r12
	pushq	%rbx
	subq	$40, %rsp
	.cfi_offset 15, -24
	.cfi_offset 14, -32
	.cfi_offset 13, -40
	.cfi_offset 12, -48
	.cfi_offset 3, -56
	movq	%fs:40, %rax
	movq	%rax, -56(%rbp)
	xorl	%eax, %eax
	call	__isoc99_scanf@PLT
	movslq	-60(%rbp), %rax
	movq	%rsp, %rcx
	movq	%rax, %r14
	leaq	15(,%rax,4), %rax
	movq	%rax, %rsi
	movq	%rax, %rdx
	andq	$-4096, %rsi
	andq	$-16, %rdx
	subq	%rsi, %rcx
	cmpq	%rcx, %rsp
	je	.L5
.L33:
	subq	$4096, %rsp
	orq	$0, 4088(%rsp)
	cmpq	%rcx, %rsp
	jne	.L33
.L5:
	andl	$4095, %edx
	subq	%rdx, %rsp
	testq	%rdx, %rdx
	jne	.L34
.L6:
	movq	%rax, %rdx
	movq	%rsp, %rcx
	andq	$-4096, %rax
	movq	%rsp, %rbx
	andq	$-16, %rdx
	subq	%rax, %rcx
.L7:
	cmpq	%rcx, %rsp
	je	.L8
	subq	$4096, %rsp
	orq	$0, 4088(%rsp)
	jmp	.L7
.L34:
	orq	$0, -8(%rsp,%rdx)
	jmp	.L6
.L8:
	movq	%rdx, %rax
	andl	$4095, %eax
	subq	%rax, %rsp
	testq	%rax, %rax
	jne	.L35
.L9:
	movq	%rsp, %r12
	testl	%r14d, %r14d
	jle	.L21
	movq	%rbx, %rcx
	movq	%r12, %r15
	leaq	.LC1(%rip), %rdi
	xorl	%r13d, %r13d
.L11:
	movq	%r15, %rdx
	movq	%rcx, %rsi
	xorl	%eax, %eax
	movq	%rcx, -72(%rbp)
	call	__isoc99_scanf@PLT
	movl	-60(%rbp), %r14d
	movq	-72(%rbp), %rcx
	addl	$1, %r13d
	addq	$4, %r15
	leaq	.LC1(%rip), %rdi
	addq	$4, %rcx
	cmpl	%r13d, %r14d
	jg	.L11
	testl	%r14d, %r14d
	jle	.L21
	movslq	%r14d, %rsi
	xorl	%r11d, %r11d
	xorl	%r13d, %r13d
.L18:
	xorl	%r10d, %r10d
	.p2align 4,,10
	.p2align 3
.L17:
	cmpl	%r10d, %r11d
	je	.L12
	movl	(%rbx,%r11,4), %edi
	movl	(%r12,%r11,4), %r9d
	xorl	%ecx, %ecx
	xorl	%r8d, %r8d
	subl	(%rbx,%r10,4), %edi
	subl	(%r12,%r10,4), %r9d
	.p2align 4,,10
	.p2align 3
.L13:
	xorl	%eax, %eax
	.p2align 4,,10
	.p2align 3
.L15:
	cmpl	%eax, %ecx
	je	.L14
	movl	(%rbx,%rcx,4), %edx
	subl	(%rbx,%rax,4), %edx
	cmpl	%edi, %edx
	jne	.L14
	movl	(%r12,%rcx,4), %edx
	subl	(%r12,%rax,4), %edx
	cmpl	%r9d, %edx
	sete	%dl
	movzbl	%dl, %edx
	addl	%edx, %r8d
.L14:
	addq	$1, %rax
	cmpq	%rsi, %rax
	jne	.L15
	addq	$1, %rcx
	cmpq	%rsi, %rcx
	jne	.L13
	cmpl	%r8d, %r13d
	cmovl	%r8d, %r13d
.L12:
	addq	$1, %r10
	cmpq	%r10, %rsi
	jne	.L17
	addq	$1, %r11
	cmpq	%r11, %rsi
	jne	.L18
.L10:
	movl	%r14d, %edx
	xorl	%eax, %eax
	movl	$1, %edi
	subl	%r13d, %edx
	leaq	.LC2(%rip), %rsi
	call	__printf_chk@PLT
	movq	-56(%rbp), %rax
	subq	%fs:40, %rax
	jne	.L36
	leaq	-40(%rbp), %rsp
	xorl	%eax, %eax
	popq	%rbx
	popq	%r12
	popq	%r13
	popq	%r14
	popq	%r15
	popq	%rbp
	.cfi_remember_state
	.cfi_def_cfa 7, 8
	ret
.L21:
	.cfi_restore_state
	xorl	%r13d, %r13d
	jmp	.L10
.L35:
	orq	$0, -8(%rsp,%rax)
	jmp	.L9
.L36:
	call	__stack_chk_fail@PLT
	.cfi_endproc
.LFE40:
	.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
	.p2align 4
	.globl	max
	.type	max, @function
max:
.LFB39:
	.cfi_startproc
	endbr64
	cmpl	%esi, %edi
	movl	%esi, %eax
	cmovge	%edi, %eax
	ret
	.cfi_endproc
.LFE39:
	.size	max, .-max
	.section	.rodata.str1.1,"aMS",@progbits,1
.LC0:
	.string	"%d"
.LC1:
	.string	"%d%d"
.LC2:
	.string	"%d\n"
	.section	.text.startup,"ax",@progbits
	.p2align 4
	.globl	main
	.type	main, @function
main:
.LFB40:
	.cfi_startproc
	endbr64
	pushq	%rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	leaq	.LC0(%rip), %rdi
	movq	%rsp, %rbp
	.cfi_def_cfa_register 6
	pushq	%r15
	pushq	%r14
	leaq	-60(%rbp), %rsi
	pushq	%r13
	pushq	%r12
	pushq	%rbx
	subq	$40, %rsp
	.cfi_offset 15, -24
	.cfi_offset 14, -32
	.cfi_offset 13, -40
	.cfi_offset 12, -48
	.cfi_offset 3, -56
	movq	%fs:40, %rax
	movq	%rax, -56(%rbp)
	xorl	%eax, %eax
	call	__isoc99_scanf@PLT
	movslq	-60(%rbp), %rax
	movq	%rsp, %rcx
	movq	%rax, %r14
	leaq	15(,%rax,4), %rax
	movq	%rax, %rsi
	movq	%rax, %rdx
	andq	$-4096, %rsi
	andq	$-16, %rdx
	subq	%rsi, %rcx
	cmpq	%rcx, %rsp
	je	.L5
.L33:
	subq	$4096, %rsp
	orq	$0, 4088(%rsp)
	cmpq	%rcx, %rsp
	jne	.L33
.L5:
	andl	$4095, %edx
	subq	%rdx, %rsp
	testq	%rdx, %rdx
	jne	.L34
.L6:
	movq	%rax, %rdx
	movq	%rsp, %rcx
	andq	$-4096, %rax
	movq	%rsp, %rbx
	andq	$-16, %rdx
	subq	%rax, %rcx
.L7:
	cmpq	%rcx, %rsp
	je	.L8
	subq	$4096, %rsp
	orq	$0, 4088(%rsp)
	jmp	.L7
.L34:
	orq	$0, -8(%rsp,%rdx)
	jmp	.L6
.L8:
	movq	%rdx, %rax
	andl	$4095, %eax
	subq	%rax, %rsp
	testq	%rax, %rax
	jne	.L35
.L9:
	movq	%rsp, %r12
	testl	%r14d, %r14d
	jle	.L21
	movq	%rbx, %rcx
	movq	%r12, %r15
	leaq	.LC1(%rip), %rdi
	xorl	%r13d, %r13d
.L11:
	movq	%r15, %rdx
	movq	%rcx, %rsi
	xorl	%eax, %eax
	movq	%rcx, -72(%rbp)
	call	__isoc99_scanf@PLT
	movl	-60(%rbp), %r14d
	movq	-72(%rbp), %rcx
	addl	$1, %r13d
	addq	$4, %r15
	leaq	.LC1(%rip), %rdi
	addq	$4, %rcx
	cmpl	%r13d, %r14d
	jg	.L11
	testl	%r14d, %r14d
	jle	.L21
	movslq	%r14d, %rsi
	xorl	%r11d, %r11d
	xorl	%r13d, %r13d
.L18:
	xorl	%r10d, %r10d
	.p2align 4,,10
	.p2align 3
.L17:
	cmpl	%r10d, %r11d
	je	.L12
	movl	(%rbx,%r11,4), %edi
	movl	(%r12,%r11,4), %r9d
	xorl	%ecx, %ecx
	xorl	%r8d, %r8d
	subl	(%rbx,%r10,4), %edi
	subl	(%r12,%r10,4), %r9d
	.p2align 4,,10
	.p2align 3
.L13:
	xorl	%eax, %eax
	.p2align 4,,10
	.p2align 3
.L15:
	cmpl	%eax, %ecx
	je	.L14
	movl	(%rbx,%rcx,4), %edx
	subl	(%rbx,%rax,4), %edx
	cmpl	%edi, %edx
	jne	.L14
	movl	(%r12,%rcx,4), %edx
	subl	(%r12,%rax,4), %edx
	cmpl	%r9d, %edx
	sete	%dl
	movzbl	%dl, %edx
	addl	%edx, %r8d
.L14:
	addq	$1, %rax
	cmpq	%rsi, %rax
	jne	.L15
	addq	$1, %rcx
	cmpq	%rsi, %rcx
	jne	.L13
	cmpl	%r8d, %r13d
	cmovl	%r8d, %r13d
.L12:
	addq	$1, %r10
	cmpq	%r10, %rsi
	jne	.L17
	addq	$1, %r11
	cmpq	%r11, %rsi
	jne	.L18
.L10:
	movl	%r14d, %edx
	xorl	%eax, %eax
	movl	$1, %edi
	subl	%r13d, %edx
	leaq	.LC2(%rip), %rsi
	call	__printf_chk@PLT
	movq	-56(%rbp), %rax
	subq	%fs:40, %rax
	jne	.L36
	leaq	-40(%rbp), %rsp
	xorl	%eax, %eax
	popq	%rbx
	popq	%r12
	popq	%r13
	popq	%r14
	popq	%r15
	popq	%rbp
	.cfi_remember_state
	.cfi_def_cfa 7, 8
	ret
.L21:
	.cfi_restore_state
	xorl	%r13d, %r13d
	jmp	.L10
.L35:
	orq	$0, -8(%rsp,%rax)
	jmp	.L9
.L36:
	call	__stack_chk_fail@PLT
	.cfi_endproc
.LFE40:
	.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>
#include <stdlib.h>

int max(int a,int b){
  if(a > b){
    return a;
  }
  return b;
}

int main(void){
  int N;
  scanf("%d",&N);

  int x[N],y[N];
  for (int i = 0; i < N; i++) {
    scanf("%d%d",&x[i],&y[i]);
  }

  int ans = 0;
  for (int i = 0; i < N; i++) {
    for (int j = 0; j < N; j++) {
      if(i == j) continue;
      int p = x[i]-x[j];
      int q = y[i]-y[j];
      int cnt = 0;
      for (int a = 0; a < N; a++) {
        for (int b = 0; b < N; b++) {
          if(a == b) continue;
          if(x[a]-x[b] == p && y[a]-y[b] == q) cnt++;
        }
      }
      ans = max(ans,cnt);
    }
  }

  printf("%d\n",N-ans);

  return 0;
}
3
1 4
4 6
11 8
 2
1 2
2 2
 4
1 1
1 4
2 1
2 2
 3
1 4
4 6
11 3
 3
0 4
4 6
11 3
 3
-1 4
4 6
11 3
 3
-2 4
4 6
11 3
 3
-2 4
5 6
11 3
 3
-2 4
5 6
11 4
 3
-1 4
5 6
11 4

2
 1
 3
 2
 2
 2
 2
 2
 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>
#include <stdlib.h>

int max(int a,int b){
  if(a > b){
    return a;
  }
  return b;
}

int main(void){
  int N;
  scanf("%d",&N);

  int x[N],y[N];
  for (int i = 0; i < N; i++) {
    scanf("%d%d",&x[i],&y[i]);
  }

  int ans = 0;
  for (int i = 0; i < N; i++) {
    for (int j = 0; j < N; j++) {
      if(i == j) continue;
      int p = x[i]-x[j];
      int q = y[i]-y[j];
      int cnt = 0;
      for (int a = 0; a < N; a++) {
        for (int b = 0; b < N; b++) {
          if(a == b) continue;
          if(x[a]-x[b] == p && y[a]-y[b] == q) cnt++;
        }
      }
      ans = max(ans,cnt);
    }
  }

  printf("%d\n",N-ans);

  return 0;
}```

Unoptimized Assembly Code:

```assembly
	.file	"temp.c"
	.text
	.globl	max
	.type	max, @function
max:
.LFB6:
	.cfi_startproc
	endbr64
	pushq	%rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	movq	%rsp, %rbp
	.cfi_def_cfa_register 6
	movl	%edi, -4(%rbp)
	movl	%esi, -8(%rbp)
	movl	-4(%rbp), %eax
	cmpl	-8(%rbp), %eax
	jle	.L2
	movl	-4(%rbp), %eax
	jmp	.L3
.L2:
	movl	-8(%rbp), %eax
.L3:
	popq	%rbp
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE6:
	.size	max, .-max
	.section	.rodata
.LC0:
	.string	"%d"
.LC1:
	.string	"%d%d"
.LC2:
	.string	"%d\n"
	.text
	.globl	main
	.type	main, @function
main:
.LFB7:
	.cfi_startproc
	endbr64
	pushq	%rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	movq	%rsp, %rbp
	.cfi_def_cfa_register 6
	pushq	%r15
	pushq	%r14
	pushq	%r13
	pushq	%r12
	pushq	%rbx
	subq	$120, %rsp
	.cfi_offset 15, -24
	.cfi_offset 14, -32
	.cfi_offset 13, -40
	.cfi_offset 12, -48
	.cfi_offset 3, -56
	movq	%fs:40, %rax
	movq	%rax, -56(%rbp)
	xorl	%eax, %eax
	movq	%rsp, %rax
	movq	%rax, %rbx
	leaq	-128(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movl	-128(%rbp), %eax
	movslq	%eax, %rdx
	subq	$1, %rdx
	movq	%rdx, -88(%rbp)
	movslq	%eax, %rdx
	movq	%rdx, -144(%rbp)
	movq	$0, -136(%rbp)
	movslq	%eax, %rdx
	movq	%rdx, -160(%rbp)
	movq	$0, -152(%rbp)
	cltq
	leaq	0(,%rax,4), %rdx
	movl	$16, %eax
	subq	$1, %rax
	addq	%rdx, %rax
	movl	$16, %esi
	movl	$0, %edx
	divq	%rsi
	imulq	$16, %rax, %rax
	movq	%rax, %rcx
	andq	$-4096, %rcx
	movq	%rsp, %rdx
	subq	%rcx, %rdx
.L5:
	cmpq	%rdx, %rsp
	je	.L6
	subq	$4096, %rsp
	orq	$0, 4088(%rsp)
	jmp	.L5
.L6:
	movq	%rax, %rdx
	andl	$4095, %edx
	subq	%rdx, %rsp
	movq	%rax, %rdx
	andl	$4095, %edx
	testq	%rdx, %rdx
	je	.L7
	andl	$4095, %eax
	subq	$8, %rax
	addq	%rsp, %rax
	orq	$0, (%rax)
.L7:
	movq	%rsp, %rax
	addq	$3, %rax
	shrq	$2, %rax
	salq	$2, %rax
	movq	%rax, -80(%rbp)
	movl	-128(%rbp), %eax
	movslq	%eax, %rdx
	subq	$1, %rdx
	movq	%rdx, -72(%rbp)
	movslq	%eax, %rdx
	movq	%rdx, %r14
	movl	$0, %r15d
	movslq	%eax, %rdx
	movq	%rdx, %r12
	movl	$0, %r13d
	cltq
	leaq	0(,%rax,4), %rdx
	movl	$16, %eax
	subq	$1, %rax
	addq	%rdx, %rax
	movl	$16, %edi
	movl	$0, %edx
	divq	%rdi
	imulq	$16, %rax, %rax
	movq	%rax, %rcx
	andq	$-4096, %rcx
	movq	%rsp, %rdx
	subq	%rcx, %rdx
.L8:
	cmpq	%rdx, %rsp
	je	.L9
	subq	$4096, %rsp
	orq	$0, 4088(%rsp)
	jmp	.L8
.L9:
	movq	%rax, %rdx
	andl	$4095, %edx
	subq	%rdx, %rsp
	movq	%rax, %rdx
	andl	$4095, %edx
	testq	%rdx, %rdx
	je	.L10
	andl	$4095, %eax
	subq	$8, %rax
	addq	%rsp, %rax
	orq	$0, (%rax)
.L10:
	movq	%rsp, %rax
	addq	$3, %rax
	shrq	$2, %rax
	salq	$2, %rax
	movq	%rax, -64(%rbp)
	movl	$0, -124(%rbp)
	jmp	.L11
.L12:
	movl	-124(%rbp), %eax
	cltq
	leaq	0(,%rax,4), %rdx
	movq	-64(%rbp), %rax
	addq	%rax, %rdx
	movl	-124(%rbp), %eax
	cltq
	leaq	0(,%rax,4), %rcx
	movq	-80(%rbp), %rax
	addq	%rcx, %rax
	movq	%rax, %rsi
	leaq	.LC1(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	addl	$1, -124(%rbp)
.L11:
	movl	-128(%rbp), %eax
	cmpl	%eax, -124(%rbp)
	jl	.L12
	movl	$0, -120(%rbp)
	movl	$0, -116(%rbp)
	jmp	.L13
.L24:
	movl	$0, -112(%rbp)
	jmp	.L14
.L23:
	movl	-116(%rbp), %eax
	cmpl	-112(%rbp), %eax
	je	.L27
	movq	-80(%rbp), %rax
	movl	-116(%rbp), %edx
	movslq	%edx, %rdx
	movl	(%rax,%rdx,4), %ecx
	movq	-80(%rbp), %rax
	movl	-112(%rbp), %edx
	movslq	%edx, %rdx
	movl	(%rax,%rdx,4), %edx
	movl	%ecx, %eax
	subl	%edx, %eax
	movl	%eax, -96(%rbp)
	movq	-64(%rbp), %rax
	movl	-116(%rbp), %edx
	movslq	%edx, %rdx
	movl	(%rax,%rdx,4), %ecx
	movq	-64(%rbp), %rax
	movl	-112(%rbp), %edx
	movslq	%edx, %rdx
	movl	(%rax,%rdx,4), %edx
	movl	%ecx, %eax
	subl	%edx, %eax
	movl	%eax, -92(%rbp)
	movl	$0, -108(%rbp)
	movl	$0, -104(%rbp)
	jmp	.L17
.L22:
	movl	$0, -100(%rbp)
	jmp	.L18
.L21:
	movl	-104(%rbp), %eax
	cmpl	-100(%rbp), %eax
	je	.L28
	movq	-80(%rbp), %rax
	movl	-104(%rbp), %edx
	movslq	%edx, %rdx
	movl	(%rax,%rdx,4), %ecx
	movq	-80(%rbp), %rax
	movl	-100(%rbp), %edx
	movslq	%edx, %rdx
	movl	(%rax,%rdx,4), %edx
	movl	%ecx, %eax
	subl	%edx, %eax
	cmpl	%eax, -96(%rbp)
	jne	.L20
	movq	-64(%rbp), %rax
	movl	-104(%rbp), %edx
	movslq	%edx, %rdx
	movl	(%rax,%rdx,4), %ecx
	movq	-64(%rbp), %rax
	movl	-100(%rbp), %edx
	movslq	%edx, %rdx
	movl	(%rax,%rdx,4), %edx
	movl	%ecx, %eax
	subl	%edx, %eax
	cmpl	%eax, -92(%rbp)
	jne	.L20
	addl	$1, -108(%rbp)
	jmp	.L20
.L28:
	nop
.L20:
	addl	$1, -100(%rbp)
.L18:
	movl	-128(%rbp), %eax
	cmpl	%eax, -100(%rbp)
	jl	.L21
	addl	$1, -104(%rbp)
.L17:
	movl	-128(%rbp), %eax
	cmpl	%eax, -104(%rbp)
	jl	.L22
	movl	-108(%rbp), %edx
	movl	-120(%rbp), %eax
	movl	%edx, %esi
	movl	%eax, %edi
	call	max
	movl	%eax, -120(%rbp)
	jmp	.L16
.L27:
	nop
.L16:
	addl	$1, -112(%rbp)
.L14:
	movl	-128(%rbp), %eax
	cmpl	%eax, -112(%rbp)
	jl	.L23
	addl	$1, -116(%rbp)
.L13:
	movl	-128(%rbp), %eax
	cmpl	%eax, -116(%rbp)
	jl	.L24
	movl	-128(%rbp), %eax
	subl	-120(%rbp), %eax
	movl	%eax, %esi
	leaq	.LC2(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	printf@PLT
	movl	$0, %eax
	movq	%rbx, %rsp
	movq	-56(%rbp), %rdx
	subq	%fs:40, %rdx
	je	.L26
	call	__stack_chk_fail@PLT
.L26:
	leaq	-40(%rbp), %rsp
	popq	%rbx
	popq	%r12
	popq	%r13
	popq	%r14
	popq	%r15
	popq	%rbp
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE7:
	.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	max
	.type	max, @function
max:
.LFB6:
	.cfi_startproc
	endbr64
	pushq	%rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	movq	%rsp, %rbp
	.cfi_def_cfa_register 6
	movl	%edi, -4(%rbp)
	movl	%esi, -8(%rbp)
	movl	-4(%rbp), %eax
	cmpl	-8(%rbp), %eax
	jle	.L2
	movl	-4(%rbp), %eax
	jmp	.L3
.L2:
	movl	-8(%rbp), %eax
.L3:
	popq	%rbp
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE6:
	.size	max, .-max
	.section	.rodata
.LC0:
	.string	"%d"
.LC1:
	.string	"%d%d"
.LC2:
	.string	"%d\n"
	.text
	.globl	main
	.type	main, @function
main:
.LFB7:
	.cfi_startproc
	endbr64
	pushq	%rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	movq	%rsp, %rbp
	.cfi_def_cfa_register 6
	pushq	%r15
	pushq	%r14
	pushq	%r13
	pushq	%r12
	pushq	%rbx
	subq	$120, %rsp
	.cfi_offset 15, -24
	.cfi_offset 14, -32
	.cfi_offset 13, -40
	.cfi_offset 12, -48
	.cfi_offset 3, -56
	movq	%fs:40, %rax
	movq	%rax, -56(%rbp)
	xorl	%eax, %eax
	movq	%rsp, %rax
	movq	%rax, %rbx
	leaq	-128(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movl	-128(%rbp), %eax
	movslq	%eax, %rdx
	subq	$1, %rdx
	movq	%rdx, -88(%rbp)
	movslq	%eax, %rdx
	movq	%rdx, -144(%rbp)
	movq	$0, -136(%rbp)
	movslq	%eax, %rdx
	movq	%rdx, -160(%rbp)
	movq	$0, -152(%rbp)
	cltq
	leaq	0(,%rax,4), %rdx
	movl	$16, %eax
	subq	$1, %rax
	addq	%rdx, %rax
	movl	$16, %esi
	movl	$0, %edx
	divq	%rsi
	imulq	$16, %rax, %rax
	movq	%rax, %rcx
	andq	$-4096, %rcx
	movq	%rsp, %rdx
	subq	%rcx, %rdx
.L5:
	cmpq	%rdx, %rsp
	je	.L6
	subq	$4096, %rsp
	orq	$0, 4088(%rsp)
	jmp	.L5
.L6:
	movq	%rax, %rdx
	andl	$4095, %edx
	subq	%rdx, %rsp
	movq	%rax, %rdx
	andl	$4095, %edx
	testq	%rdx, %rdx
	je	.L7
	andl	$4095, %eax
	subq	$8, %rax
	addq	%rsp, %rax
	orq	$0, (%rax)
.L7:
	movq	%rsp, %rax
	addq	$3, %rax
	shrq	$2, %rax
	salq	$2, %rax
	movq	%rax, -80(%rbp)
	movl	-128(%rbp), %eax
	movslq	%eax, %rdx
	subq	$1, %rdx
	movq	%rdx, -72(%rbp)
	movslq	%eax, %rdx
	movq	%rdx, %r14
	movl	$0, %r15d
	movslq	%eax, %rdx
	movq	%rdx, %r12
	movl	$0, %r13d
	cltq
	leaq	0(,%rax,4), %rdx
	movl	$16, %eax
	subq	$1, %rax
	addq	%rdx, %rax
	movl	$16, %edi
	movl	$0, %edx
	divq	%rdi
	imulq	$16, %rax, %rax
	movq	%rax, %rcx
	andq	$-4096, %rcx
	movq	%rsp, %rdx
	subq	%rcx, %rdx
.L8:
	cmpq	%rdx, %rsp
	je	.L9
	subq	$4096, %rsp
	orq	$0, 4088(%rsp)
	jmp	.L8
.L9:
	movq	%rax, %rdx
	andl	$4095, %edx
	subq	%rdx, %rsp
	movq	%rax, %rdx
	andl	$4095, %edx
	testq	%rdx, %rdx
	je	.L10
	andl	$4095, %eax
	subq	$8, %rax
	addq	%rsp, %rax
	orq	$0, (%rax)
.L10:
	movq	%rsp, %rax
	addq	$3, %rax
	shrq	$2, %rax
	salq	$2, %rax
	movq	%rax, -64(%rbp)
	movl	$0, -124(%rbp)
	jmp	.L11
.L12:
	movl	-124(%rbp), %eax
	cltq
	leaq	0(,%rax,4), %rdx
	movq	-64(%rbp), %rax
	addq	%rax, %rdx
	movl	-124(%rbp), %eax
	cltq
	leaq	0(,%rax,4), %rcx
	movq	-80(%rbp), %rax
	addq	%rcx, %rax
	movq	%rax, %rsi
	leaq	.LC1(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	addl	$1, -124(%rbp)
.L11:
	movl	-128(%rbp), %eax
	cmpl	%eax, -124(%rbp)
	jl	.L12
	movl	$0, -120(%rbp)
	movl	$0, -116(%rbp)
	jmp	.L13
.L24:
	movl	$0, -112(%rbp)
	jmp	.L14
.L23:
	movl	-116(%rbp), %eax
	cmpl	-112(%rbp), %eax
	je	.L27
	movq	-80(%rbp), %rax
	movl	-116(%rbp), %edx
	movslq	%edx, %rdx
	movl	(%rax,%rdx,4), %ecx
	movq	-80(%rbp), %rax
	movl	-112(%rbp), %edx
	movslq	%edx, %rdx
	movl	(%rax,%rdx,4), %edx
	movl	%ecx, %eax
	subl	%edx, %eax
	movl	%eax, -96(%rbp)
	movq	-64(%rbp), %rax
	movl	-116(%rbp), %edx
	movslq	%edx, %rdx
	movl	(%rax,%rdx,4), %ecx
	movq	-64(%rbp), %rax
	movl	-112(%rbp), %edx
	movslq	%edx, %rdx
	movl	(%rax,%rdx,4), %edx
	movl	%ecx, %eax
	subl	%edx, %eax
	movl	%eax, -92(%rbp)
	movl	$0, -108(%rbp)
	movl	$0, -104(%rbp)
	jmp	.L17
.L22:
	movl	$0, -100(%rbp)
	jmp	.L18
.L21:
	movl	-104(%rbp), %eax
	cmpl	-100(%rbp), %eax
	je	.L28
	movq	-80(%rbp), %rax
	movl	-104(%rbp), %edx
	movslq	%edx, %rdx
	movl	(%rax,%rdx,4), %ecx
	movq	-80(%rbp), %rax
	movl	-100(%rbp), %edx
	movslq	%edx, %rdx
	movl	(%rax,%rdx,4), %edx
	movl	%ecx, %eax
	subl	%edx, %eax
	cmpl	%eax, -96(%rbp)
	jne	.L20
	movq	-64(%rbp), %rax
	movl	-104(%rbp), %edx
	movslq	%edx, %rdx
	movl	(%rax,%rdx,4), %ecx
	movq	-64(%rbp), %rax
	movl	-100(%rbp), %edx
	movslq	%edx, %rdx
	movl	(%rax,%rdx,4), %edx
	movl	%ecx, %eax
	subl	%edx, %eax
	cmpl	%eax, -92(%rbp)
	jne	.L20
	addl	$1, -108(%rbp)
	jmp	.L20
.L28:
	nop
.L20:
	addl	$1, -100(%rbp)
.L18:
	movl	-128(%rbp), %eax
	cmpl	%eax, -100(%rbp)
	jl	.L21
	addl	$1, -104(%rbp)
.L17:
	movl	-128(%rbp), %eax
	cmpl	%eax, -104(%rbp)
	jl	.L22
	movl	-108(%rbp), %edx
	movl	-120(%rbp), %eax
	movl	%edx, %esi
	movl	%eax, %edi
	call	max
	movl	%eax, -120(%rbp)
	jmp	.L16
.L27:
	nop
.L16:
	addl	$1, -112(%rbp)
.L14:
	movl	-128(%rbp), %eax
	cmpl	%eax, -112(%rbp)
	jl	.L23
	addl	$1, -116(%rbp)
.L13:
	movl	-128(%rbp), %eax
	cmpl	%eax, -116(%rbp)
	jl	.L24
	movl	-128(%rbp), %eax
	subl	-120(%rbp), %eax
	movl	%eax, %esi
	leaq	.LC2(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	printf@PLT
	movl	$0, %eax
	movq	%rbx, %rsp
	movq	-56(%rbp), %rdx
	subq	%fs:40, %rdx
	je	.L26
	call	__stack_chk_fail@PLT
.L26:
	leaq	-40(%rbp), %rsp
	popq	%rbx
	popq	%r12
	popq	%r13
	popq	%r14
	popq	%r15
	popq	%rbp
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE7:
	.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:
