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>
#include <math.h>
#include <string.h>

int main() {
    int l, r;
    int width;
    int min = 2019;

    scanf("%d %d", &l, &r);
    width = r - l;
    r %= 2019;
    l %= 2019;
    if (l +width >= 2019) printf("0");
    else {
        for (int i = l; i < r; i++) {
            for (int j = i+1; j <= r; j++) {
                if (min > i* j % 2019)min = i * j % 2019;
            }
        }
        printf("%d", min);
    }   
    return 0;
}```

Unoptimized Assembly Code:

```assembly
	.file	"temp.c"
	.text
	.section	.rodata
.LC0:
	.string	"%d %d"
.LC1:
	.string	"%d"
	.text
	.globl	main
	.type	main, @function
main:
.LFB6:
	.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	$2019, -24(%rbp)
	leaq	-28(%rbp), %rdx
	leaq	-32(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movl	-28(%rbp), %eax
	movl	-32(%rbp), %edx
	subl	%edx, %eax
	movl	%eax, -12(%rbp)
	movl	-28(%rbp), %eax
	movslq	%eax, %rdx
	imulq	$-2116638167, %rdx, %rdx
	shrq	$32, %rdx
	addl	%eax, %edx
	sarl	$10, %edx
	movl	%eax, %ecx
	sarl	$31, %ecx
	subl	%ecx, %edx
	imull	$2019, %edx, %ecx
	subl	%ecx, %eax
	movl	%eax, %edx
	movl	%edx, -28(%rbp)
	movl	-32(%rbp), %eax
	movslq	%eax, %rdx
	imulq	$-2116638167, %rdx, %rdx
	shrq	$32, %rdx
	addl	%eax, %edx
	sarl	$10, %edx
	movl	%eax, %ecx
	sarl	$31, %ecx
	subl	%ecx, %edx
	imull	$2019, %edx, %ecx
	subl	%ecx, %eax
	movl	%eax, %edx
	movl	%edx, -32(%rbp)
	movl	-32(%rbp), %edx
	movl	-12(%rbp), %eax
	addl	%edx, %eax
	cmpl	$2018, %eax
	jle	.L2
	movl	$48, %edi
	call	putchar@PLT
	jmp	.L3
.L2:
	movl	-32(%rbp), %eax
	movl	%eax, -20(%rbp)
	jmp	.L4
.L8:
	movl	-20(%rbp), %eax
	addl	$1, %eax
	movl	%eax, -16(%rbp)
	jmp	.L5
.L7:
	movl	-20(%rbp), %eax
	imull	-16(%rbp), %eax
	movslq	%eax, %rdx
	imulq	$-2116638167, %rdx, %rdx
	shrq	$32, %rdx
	addl	%eax, %edx
	sarl	$10, %edx
	movl	%eax, %ecx
	sarl	$31, %ecx
	subl	%ecx, %edx
	imull	$2019, %edx, %ecx
	subl	%ecx, %eax
	movl	%eax, %edx
	cmpl	%edx, -24(%rbp)
	jle	.L6
	movl	-20(%rbp), %eax
	imull	-16(%rbp), %eax
	movslq	%eax, %rdx
	imulq	$-2116638167, %rdx, %rdx
	shrq	$32, %rdx
	addl	%eax, %edx
	sarl	$10, %edx
	movl	%eax, %ecx
	sarl	$31, %ecx
	subl	%ecx, %edx
	movl	%edx, -24(%rbp)
	movl	-24(%rbp), %edx
	imull	$2019, %edx, %edx
	subl	%edx, %eax
	movl	%eax, -24(%rbp)
.L6:
	addl	$1, -16(%rbp)
.L5:
	movl	-28(%rbp), %eax
	cmpl	%eax, -16(%rbp)
	jle	.L7
	addl	$1, -20(%rbp)
.L4:
	movl	-28(%rbp), %eax
	cmpl	%eax, -20(%rbp)
	jl	.L8
	movl	-24(%rbp), %eax
	movl	%eax, %esi
	leaq	.LC1(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	printf@PLT
.L3:
	movl	$0, %eax
	movq	-8(%rbp), %rdx
	subq	%fs:40, %rdx
	je	.L10
	call	__stack_chk_fail@PLT
.L10:
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE6:
	.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"
.LC3:
	.string	"%d"
	.section	.text.startup,"ax",@progbits
	.p2align 4
	.globl	main
	.type	main, @function
main:
.LFB51:
	.cfi_startproc
	endbr64
	subq	$24, %rsp
	.cfi_def_cfa_offset 32
	leaq	.LC0(%rip), %rdi
	movq	%fs:40, %rax
	movq	%rax, 8(%rsp)
	xorl	%eax, %eax
	leaq	4(%rsp), %rdx
	movq	%rsp, %rsi
	call	__isoc99_scanf@PLT
	movslq	4(%rsp), %rsi
	movl	(%rsp), %edx
	movq	%rsi, %rax
	imulq	$-2116638167, %rsi, %rsi
	movl	%edx, %edi
	movl	%eax, %ecx
	sarl	$31, %edi
	sarl	$31, %ecx
	shrq	$32, %rsi
	addl	%eax, %esi
	sarl	$10, %esi
	subl	%ecx, %esi
	imull	$2019, %esi, %ecx
	movl	%eax, %esi
	subl	%edx, %eax
	subl	%ecx, %esi
	movslq	%edx, %rcx
	imulq	$-2116638167, %rcx, %rcx
	movl	%esi, 4(%rsp)
	shrq	$32, %rcx
	addl	%edx, %ecx
	sarl	$10, %ecx
	subl	%edi, %ecx
	imull	$2019, %ecx, %edi
	movl	%edx, %ecx
	subl	%edi, %ecx
	addl	%ecx, %eax
	movl	%ecx, (%rsp)
	cmpl	$2018, %eax
	jg	.L2
	movl	%esi, %r8d
	movl	$2019, %edx
	subl	%ecx, %r8d
	cmpl	%ecx, %esi
	jle	.L4
	movdqa	.LC2(%rip), %xmm4
	pxor	%xmm6, %xmm6
	leal	1(%rcx), %edi
	movdqa	.LC1(%rip), %xmm10
	movdqa	%xmm6, %xmm7
	pcmpgtd	%xmm4, %xmm7
	cmpl	%edi, %esi
	jl	.L6
	.p2align 4,,10
	.p2align 3
.L21:
	movl	%esi, %eax
	subl	%edi, %eax
	cmpl	$2, %eax
	jbe	.L14
	movd	%edx, %xmm5
	leal	3(%rcx), %edx
	leal	2(%rcx), %eax
	movl	%r8d, %r9d
	movd	%edx, %xmm0
	leal	4(%rcx), %edx
	pshufd	$0, %xmm5, %xmm3
	shrl	$2, %r9d
	movd	%edx, %xmm5
	movd	%eax, %xmm2
	xorl	%eax, %eax
	punpckldq	%xmm5, %xmm0
	movd	%edi, %xmm5
	punpckldq	%xmm2, %xmm5
	movd	%ecx, %xmm2
	pshufd	$0, %xmm2, %xmm8
	punpcklqdq	%xmm0, %xmm5
	movdqa	%xmm8, %xmm9
	psrlq	$32, %xmm9
	.p2align 4,,10
	.p2align 3
.L8:
	movdqa	%xmm5, %xmm0
	movdqa	%xmm6, %xmm11
	movdqa	%xmm7, %xmm12
	addl	$1, %eax
	movdqa	%xmm0, %xmm2
	psrlq	$32, %xmm0
	paddd	%xmm10, %xmm5
	pmuludq	%xmm8, %xmm2
	pmuludq	%xmm9, %xmm0
	pshufd	$8, %xmm2, %xmm2
	pshufd	$8, %xmm0, %xmm0
	punpckldq	%xmm0, %xmm2
	movdqa	%xmm2, %xmm1
	punpckldq	%xmm2, %xmm1
	pcmpgtd	%xmm1, %xmm11
	pmuludq	%xmm1, %xmm12
	movdqa	%xmm1, %xmm0
	pmuludq	%xmm4, %xmm0
	movdqa	%xmm2, %xmm1
	punpckhdq	%xmm2, %xmm1
	pmuludq	%xmm4, %xmm11
	paddq	%xmm12, %xmm11
	movdqa	%xmm7, %xmm12
	psllq	$32, %xmm11
	pmuludq	%xmm1, %xmm12
	paddq	%xmm11, %xmm0
	movdqa	%xmm6, %xmm11
	pcmpgtd	%xmm1, %xmm11
	pmuludq	%xmm4, %xmm1
	pmuludq	%xmm4, %xmm11
	paddq	%xmm12, %xmm11
	psllq	$32, %xmm11
	paddq	%xmm11, %xmm1
	shufps	$221, %xmm1, %xmm0
	movdqa	%xmm2, %xmm1
	paddd	%xmm2, %xmm0
	psrad	$31, %xmm1
	psrad	$10, %xmm0
	psubd	%xmm1, %xmm0
	movdqa	%xmm0, %xmm1
	pslld	$6, %xmm1
	psubd	%xmm0, %xmm1
	pslld	$3, %xmm1
	paddd	%xmm0, %xmm1
	pslld	$2, %xmm1
	psubd	%xmm0, %xmm1
	psubd	%xmm1, %xmm2
	movdqa	%xmm2, %xmm0
	pcmpgtd	%xmm3, %xmm0
	pand	%xmm0, %xmm3
	pandn	%xmm2, %xmm0
	por	%xmm0, %xmm3
	cmpl	%eax, %r9d
	jne	.L8
	movdqa	%xmm3, %xmm1
	movl	%r8d, %eax
	psrldq	$8, %xmm1
	andl	$-4, %eax
	movdqa	%xmm1, %xmm0
	leal	(%rax,%rdi), %r9d
	pcmpgtd	%xmm3, %xmm0
	pand	%xmm0, %xmm3
	pandn	%xmm1, %xmm0
	por	%xmm3, %xmm0
	movdqa	%xmm0, %xmm2
	psrldq	$4, %xmm2
	movdqa	%xmm2, %xmm1
	pcmpgtd	%xmm0, %xmm1
	pand	%xmm1, %xmm0
	pandn	%xmm2, %xmm1
	por	%xmm0, %xmm1
	movd	%xmm1, %edx
	cmpl	%r8d, %eax
	je	.L11
.L7:
	movl	%ecx, %r10d
	imull	%r9d, %r10d
	movslq	%r10d, %rax
	movl	%r10d, %r11d
	imulq	$-2116638167, %rax, %rax
	sarl	$31, %r11d
	shrq	$32, %rax
	addl	%r10d, %eax
	sarl	$10, %eax
	subl	%r11d, %eax
	movl	%r10d, %r11d
	imull	$2019, %eax, %eax
	subl	%eax, %r11d
	leal	1(%r9), %eax
	cmpl	%r11d, %edx
	cmovg	%r11d, %edx
	cmpl	%eax, %esi
	jl	.L11
	addl	%ecx, %r10d
	movslq	%r10d, %rax
	movl	%r10d, %r11d
	imulq	$-2116638167, %rax, %rax
	sarl	$31, %r11d
	shrq	$32, %rax
	addl	%r10d, %eax
	sarl	$10, %eax
	subl	%r11d, %eax
	movl	%r10d, %r11d
	imull	$2019, %eax, %eax
	subl	%eax, %r11d
	cmpl	%r11d, %edx
	cmovg	%r11d, %edx
	addl	$2, %r9d
	cmpl	%r9d, %esi
	jl	.L11
	leal	(%r10,%rcx), %eax
	movslq	%eax, %rcx
	movl	%eax, %r9d
	imulq	$-2116638167, %rcx, %rcx
	sarl	$31, %r9d
	shrq	$32, %rcx
	addl	%eax, %ecx
	sarl	$10, %ecx
	subl	%r9d, %ecx
	imull	$2019, %ecx, %ecx
	subl	%ecx, %eax
	cmpl	%eax, %edx
	cmovg	%eax, %edx
.L11:
	subl	$1, %r8d
	cmpl	%edi, %esi
	je	.L4
	movl	%edi, %ecx
.L22:
	leal	1(%rcx), %edi
	cmpl	%edi, %esi
	jge	.L21
.L6:
	subl	$1, %r8d
	movl	%edi, %ecx
	jmp	.L22
	.p2align 4,,10
	.p2align 3
.L4:
	leaq	.LC3(%rip), %rsi
	movl	$1, %edi
	xorl	%eax, %eax
	call	__printf_chk@PLT
.L5:
	movq	8(%rsp), %rax
	subq	%fs:40, %rax
	jne	.L23
	xorl	%eax, %eax
	addq	$24, %rsp
	.cfi_remember_state
	.cfi_def_cfa_offset 8
	ret
.L14:
	.cfi_restore_state
	movl	%edi, %r9d
	jmp	.L7
.L2:
	movl	$48, %edi
	call	putchar@PLT
	jmp	.L5
.L23:
	call	__stack_chk_fail@PLT
	.cfi_endproc
.LFE51:
	.size	main, .-main
	.section	.rodata.cst16,"aM",@progbits,16
	.align 16
.LC1:
	.long	4
	.long	4
	.long	4
	.long	4
	.align 16
.LC2:
	.long	-2116638167
	.long	-2116638167
	.long	-2116638167
	.long	-2116638167
	.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"
.LC3:
	.string	"%d"
	.section	.text.startup,"ax",@progbits
	.p2align 4
	.globl	main
	.type	main, @function
main:
.LFB51:
	.cfi_startproc
	endbr64
	subq	$24, %rsp
	.cfi_def_cfa_offset 32
	leaq	.LC0(%rip), %rdi
	movq	%fs:40, %rax
	movq	%rax, 8(%rsp)
	xorl	%eax, %eax
	leaq	4(%rsp), %rdx
	movq	%rsp, %rsi
	call	__isoc99_scanf@PLT
	movslq	4(%rsp), %rsi
	movl	(%rsp), %edx
	movq	%rsi, %rax
	imulq	$-2116638167, %rsi, %rsi
	movl	%edx, %edi
	movl	%eax, %ecx
	sarl	$31, %edi
	sarl	$31, %ecx
	shrq	$32, %rsi
	addl	%eax, %esi
	sarl	$10, %esi
	subl	%ecx, %esi
	imull	$2019, %esi, %ecx
	movl	%eax, %esi
	subl	%edx, %eax
	subl	%ecx, %esi
	movslq	%edx, %rcx
	imulq	$-2116638167, %rcx, %rcx
	movl	%esi, 4(%rsp)
	shrq	$32, %rcx
	addl	%edx, %ecx
	sarl	$10, %ecx
	subl	%edi, %ecx
	imull	$2019, %ecx, %edi
	movl	%edx, %ecx
	subl	%edi, %ecx
	addl	%ecx, %eax
	movl	%ecx, (%rsp)
	cmpl	$2018, %eax
	jg	.L2
	movl	%esi, %r8d
	movl	$2019, %edx
	subl	%ecx, %r8d
	cmpl	%ecx, %esi
	jle	.L4
	movdqa	.LC2(%rip), %xmm4
	pxor	%xmm6, %xmm6
	leal	1(%rcx), %edi
	movdqa	.LC1(%rip), %xmm10
	movdqa	%xmm6, %xmm7
	pcmpgtd	%xmm4, %xmm7
	cmpl	%edi, %esi
	jl	.L6
	.p2align 4,,10
	.p2align 3
.L21:
	movl	%esi, %eax
	subl	%edi, %eax
	cmpl	$2, %eax
	jbe	.L14
	movd	%edx, %xmm5
	leal	3(%rcx), %edx
	leal	2(%rcx), %eax
	movl	%r8d, %r9d
	movd	%edx, %xmm0
	leal	4(%rcx), %edx
	pshufd	$0, %xmm5, %xmm3
	shrl	$2, %r9d
	movd	%edx, %xmm5
	movd	%eax, %xmm2
	xorl	%eax, %eax
	punpckldq	%xmm5, %xmm0
	movd	%edi, %xmm5
	punpckldq	%xmm2, %xmm5
	movd	%ecx, %xmm2
	pshufd	$0, %xmm2, %xmm8
	punpcklqdq	%xmm0, %xmm5
	movdqa	%xmm8, %xmm9
	psrlq	$32, %xmm9
	.p2align 4,,10
	.p2align 3
.L8:
	movdqa	%xmm5, %xmm0
	movdqa	%xmm6, %xmm11
	movdqa	%xmm7, %xmm12
	addl	$1, %eax
	movdqa	%xmm0, %xmm2
	psrlq	$32, %xmm0
	paddd	%xmm10, %xmm5
	pmuludq	%xmm8, %xmm2
	pmuludq	%xmm9, %xmm0
	pshufd	$8, %xmm2, %xmm2
	pshufd	$8, %xmm0, %xmm0
	punpckldq	%xmm0, %xmm2
	movdqa	%xmm2, %xmm1
	punpckldq	%xmm2, %xmm1
	pcmpgtd	%xmm1, %xmm11
	pmuludq	%xmm1, %xmm12
	movdqa	%xmm1, %xmm0
	pmuludq	%xmm4, %xmm0
	movdqa	%xmm2, %xmm1
	punpckhdq	%xmm2, %xmm1
	pmuludq	%xmm4, %xmm11
	paddq	%xmm12, %xmm11
	movdqa	%xmm7, %xmm12
	psllq	$32, %xmm11
	pmuludq	%xmm1, %xmm12
	paddq	%xmm11, %xmm0
	movdqa	%xmm6, %xmm11
	pcmpgtd	%xmm1, %xmm11
	pmuludq	%xmm4, %xmm1
	pmuludq	%xmm4, %xmm11
	paddq	%xmm12, %xmm11
	psllq	$32, %xmm11
	paddq	%xmm11, %xmm1
	shufps	$221, %xmm1, %xmm0
	movdqa	%xmm2, %xmm1
	paddd	%xmm2, %xmm0
	psrad	$31, %xmm1
	psrad	$10, %xmm0
	psubd	%xmm1, %xmm0
	movdqa	%xmm0, %xmm1
	pslld	$6, %xmm1
	psubd	%xmm0, %xmm1
	pslld	$3, %xmm1
	paddd	%xmm0, %xmm1
	pslld	$2, %xmm1
	psubd	%xmm0, %xmm1
	psubd	%xmm1, %xmm2
	movdqa	%xmm2, %xmm0
	pcmpgtd	%xmm3, %xmm0
	pand	%xmm0, %xmm3
	pandn	%xmm2, %xmm0
	por	%xmm0, %xmm3
	cmpl	%eax, %r9d
	jne	.L8
	movdqa	%xmm3, %xmm1
	movl	%r8d, %eax
	psrldq	$8, %xmm1
	andl	$-4, %eax
	movdqa	%xmm1, %xmm0
	leal	(%rax,%rdi), %r9d
	pcmpgtd	%xmm3, %xmm0
	pand	%xmm0, %xmm3
	pandn	%xmm1, %xmm0
	por	%xmm3, %xmm0
	movdqa	%xmm0, %xmm2
	psrldq	$4, %xmm2
	movdqa	%xmm2, %xmm1
	pcmpgtd	%xmm0, %xmm1
	pand	%xmm1, %xmm0
	pandn	%xmm2, %xmm1
	por	%xmm0, %xmm1
	movd	%xmm1, %edx
	cmpl	%r8d, %eax
	je	.L11
.L7:
	movl	%ecx, %r10d
	imull	%r9d, %r10d
	movslq	%r10d, %rax
	movl	%r10d, %r11d
	imulq	$-2116638167, %rax, %rax
	sarl	$31, %r11d
	shrq	$32, %rax
	addl	%r10d, %eax
	sarl	$10, %eax
	subl	%r11d, %eax
	movl	%r10d, %r11d
	imull	$2019, %eax, %eax
	subl	%eax, %r11d
	leal	1(%r9), %eax
	cmpl	%r11d, %edx
	cmovg	%r11d, %edx
	cmpl	%eax, %esi
	jl	.L11
	addl	%ecx, %r10d
	movslq	%r10d, %rax
	movl	%r10d, %r11d
	imulq	$-2116638167, %rax, %rax
	sarl	$31, %r11d
	shrq	$32, %rax
	addl	%r10d, %eax
	sarl	$10, %eax
	subl	%r11d, %eax
	movl	%r10d, %r11d
	imull	$2019, %eax, %eax
	subl	%eax, %r11d
	cmpl	%r11d, %edx
	cmovg	%r11d, %edx
	addl	$2, %r9d
	cmpl	%r9d, %esi
	jl	.L11
	leal	(%r10,%rcx), %eax
	movslq	%eax, %rcx
	movl	%eax, %r9d
	imulq	$-2116638167, %rcx, %rcx
	sarl	$31, %r9d
	shrq	$32, %rcx
	addl	%eax, %ecx
	sarl	$10, %ecx
	subl	%r9d, %ecx
	imull	$2019, %ecx, %ecx
	subl	%ecx, %eax
	cmpl	%eax, %edx
	cmovg	%eax, %edx
.L11:
	subl	$1, %r8d
	cmpl	%edi, %esi
	je	.L4
	movl	%edi, %ecx
.L22:
	leal	1(%rcx), %edi
	cmpl	%edi, %esi
	jge	.L21
.L6:
	subl	$1, %r8d
	movl	%edi, %ecx
	jmp	.L22
	.p2align 4,,10
	.p2align 3
.L4:
	leaq	.LC3(%rip), %rsi
	movl	$1, %edi
	xorl	%eax, %eax
	call	__printf_chk@PLT
.L5:
	movq	8(%rsp), %rax
	subq	%fs:40, %rax
	jne	.L23
	xorl	%eax, %eax
	addq	$24, %rsp
	.cfi_remember_state
	.cfi_def_cfa_offset 8
	ret
.L14:
	.cfi_restore_state
	movl	%edi, %r9d
	jmp	.L7
.L2:
	movl	$48, %edi
	call	putchar@PLT
	jmp	.L5
.L23:
	call	__stack_chk_fail@PLT
	.cfi_endproc
.LFE51:
	.size	main, .-main
	.section	.rodata.cst16,"aM",@progbits,16
	.align 16
.LC1:
	.long	4
	.long	4
	.long	4
	.long	4
	.align 16
.LC2:
	.long	-2116638167
	.long	-2116638167
	.long	-2116638167
	.long	-2116638167
	.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>
#include <math.h>
#include <string.h>

int main() {
    int l, r;
    int width;
    int min = 2019;

    scanf("%d %d", &l, &r);
    width = r - l;
    r %= 2019;
    l %= 2019;
    if (l +width >= 2019) printf("0");
    else {
        for (int i = l; i < r; i++) {
            for (int j = i+1; j <= r; j++) {
                if (min > i* j % 2019)min = i * j % 2019;
            }
        }
        printf("%d", min);
    }   
    return 0;
}
3 5
 4 10
 2020 3053
 1 5
 8 10
 2845 3053
 2 5
 6 8
 5 12
 9 10

12 20 0 2 72 1 6 42 30 90
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>
#include <math.h>
#include <string.h>

int main() {
    int l, r;
    int width;
    int min = 2019;

    scanf("%d %d", &l, &r);
    width = r - l;
    r %= 2019;
    l %= 2019;
    if (l +width >= 2019) printf("0");
    else {
        for (int i = l; i < r; i++) {
            for (int j = i+1; j <= r; j++) {
                if (min > i* j % 2019)min = i * j % 2019;
            }
        }
        printf("%d", min);
    }   
    return 0;
}```

Unoptimized Assembly Code:

```assembly
	.file	"temp.c"
	.text
	.section	.rodata
.LC0:
	.string	"%d %d"
.LC1:
	.string	"%d"
	.text
	.globl	main
	.type	main, @function
main:
.LFB6:
	.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	$2019, -24(%rbp)
	leaq	-28(%rbp), %rdx
	leaq	-32(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movl	-28(%rbp), %eax
	movl	-32(%rbp), %edx
	subl	%edx, %eax
	movl	%eax, -12(%rbp)
	movl	-28(%rbp), %eax
	movslq	%eax, %rdx
	imulq	$-2116638167, %rdx, %rdx
	shrq	$32, %rdx
	addl	%eax, %edx
	sarl	$10, %edx
	movl	%eax, %ecx
	sarl	$31, %ecx
	subl	%ecx, %edx
	imull	$2019, %edx, %ecx
	subl	%ecx, %eax
	movl	%eax, %edx
	movl	%edx, -28(%rbp)
	movl	-32(%rbp), %eax
	movslq	%eax, %rdx
	imulq	$-2116638167, %rdx, %rdx
	shrq	$32, %rdx
	addl	%eax, %edx
	sarl	$10, %edx
	movl	%eax, %ecx
	sarl	$31, %ecx
	subl	%ecx, %edx
	imull	$2019, %edx, %ecx
	subl	%ecx, %eax
	movl	%eax, %edx
	movl	%edx, -32(%rbp)
	movl	-32(%rbp), %edx
	movl	-12(%rbp), %eax
	addl	%edx, %eax
	cmpl	$2018, %eax
	jle	.L2
	movl	$48, %edi
	call	putchar@PLT
	jmp	.L3
.L2:
	movl	-32(%rbp), %eax
	movl	%eax, -20(%rbp)
	jmp	.L4
.L8:
	movl	-20(%rbp), %eax
	addl	$1, %eax
	movl	%eax, -16(%rbp)
	jmp	.L5
.L7:
	movl	-20(%rbp), %eax
	imull	-16(%rbp), %eax
	movslq	%eax, %rdx
	imulq	$-2116638167, %rdx, %rdx
	shrq	$32, %rdx
	addl	%eax, %edx
	sarl	$10, %edx
	movl	%eax, %ecx
	sarl	$31, %ecx
	subl	%ecx, %edx
	imull	$2019, %edx, %ecx
	subl	%ecx, %eax
	movl	%eax, %edx
	cmpl	%edx, -24(%rbp)
	jle	.L6
	movl	-20(%rbp), %eax
	imull	-16(%rbp), %eax
	movslq	%eax, %rdx
	imulq	$-2116638167, %rdx, %rdx
	shrq	$32, %rdx
	addl	%eax, %edx
	sarl	$10, %edx
	movl	%eax, %ecx
	sarl	$31, %ecx
	subl	%ecx, %edx
	movl	%edx, -24(%rbp)
	movl	-24(%rbp), %edx
	imull	$2019, %edx, %edx
	subl	%edx, %eax
	movl	%eax, -24(%rbp)
.L6:
	addl	$1, -16(%rbp)
.L5:
	movl	-28(%rbp), %eax
	cmpl	%eax, -16(%rbp)
	jle	.L7
	addl	$1, -20(%rbp)
.L4:
	movl	-28(%rbp), %eax
	cmpl	%eax, -20(%rbp)
	jl	.L8
	movl	-24(%rbp), %eax
	movl	%eax, %esi
	leaq	.LC1(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	printf@PLT
.L3:
	movl	$0, %eax
	movq	-8(%rbp), %rdx
	subq	%fs:40, %rdx
	je	.L10
	call	__stack_chk_fail@PLT
.L10:
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE6:
	.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"
	.text
	.globl	main
	.type	main, @function
main:
.LFB6:
	.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	$2019, -24(%rbp)
	leaq	-28(%rbp), %rdx
	leaq	-32(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movl	-28(%rbp), %eax
	movl	-32(%rbp), %edx
	subl	%edx, %eax
	movl	%eax, -12(%rbp)
	movl	-28(%rbp), %eax
	movslq	%eax, %rdx
	imulq	$-2116638167, %rdx, %rdx
	shrq	$32, %rdx
	addl	%eax, %edx
	sarl	$10, %edx
	movl	%eax, %ecx
	sarl	$31, %ecx
	subl	%ecx, %edx
	imull	$2019, %edx, %ecx
	subl	%ecx, %eax
	movl	%eax, %edx
	movl	%edx, -28(%rbp)
	movl	-32(%rbp), %eax
	movslq	%eax, %rdx
	imulq	$-2116638167, %rdx, %rdx
	shrq	$32, %rdx
	addl	%eax, %edx
	sarl	$10, %edx
	movl	%eax, %ecx
	sarl	$31, %ecx
	subl	%ecx, %edx
	imull	$2019, %edx, %ecx
	subl	%ecx, %eax
	movl	%eax, %edx
	movl	%edx, -32(%rbp)
	movl	-32(%rbp), %edx
	movl	-12(%rbp), %eax
	addl	%edx, %eax
	cmpl	$2018, %eax
	jle	.L2
	movl	$48, %edi
	call	putchar@PLT
	jmp	.L3
.L2:
	movl	-32(%rbp), %eax
	movl	%eax, -20(%rbp)
	jmp	.L4
.L8:
	movl	-20(%rbp), %eax
	addl	$1, %eax
	movl	%eax, -16(%rbp)
	jmp	.L5
.L7:
	movl	-20(%rbp), %eax
	imull	-16(%rbp), %eax
	movslq	%eax, %rdx
	imulq	$-2116638167, %rdx, %rdx
	shrq	$32, %rdx
	addl	%eax, %edx
	sarl	$10, %edx
	movl	%eax, %ecx
	sarl	$31, %ecx
	subl	%ecx, %edx
	imull	$2019, %edx, %ecx
	subl	%ecx, %eax
	movl	%eax, %edx
	cmpl	%edx, -24(%rbp)
	jle	.L6
	movl	-20(%rbp), %eax
	imull	-16(%rbp), %eax
	movslq	%eax, %rdx
	imulq	$-2116638167, %rdx, %rdx
	shrq	$32, %rdx
	addl	%eax, %edx
	sarl	$10, %edx
	movl	%eax, %ecx
	sarl	$31, %ecx
	subl	%ecx, %edx
	movl	%edx, -24(%rbp)
	movl	-24(%rbp), %edx
	imull	$2019, %edx, %edx
	subl	%edx, %eax
	movl	%eax, -24(%rbp)
.L6:
	addl	$1, -16(%rbp)
.L5:
	movl	-28(%rbp), %eax
	cmpl	%eax, -16(%rbp)
	jle	.L7
	addl	$1, -20(%rbp)
.L4:
	movl	-28(%rbp), %eax
	cmpl	%eax, -20(%rbp)
	jl	.L8
	movl	-24(%rbp), %eax
	movl	%eax, %esi
	leaq	.LC1(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	printf@PLT
.L3:
	movl	$0, %eax
	movq	-8(%rbp), %rdx
	subq	%fs:40, %rdx
	je	.L10
	call	__stack_chk_fail@PLT
.L10:
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE6:
	.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:
