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 <string.h>
#include <math.h>
#define MOD1 1000000007
#define MOD2 998244353
#define LIMIT1 200002
#define LIMIT2 500002
typedef long long ll;
typedef long double ld;
#define rep(i,n) for(i=0;i<n;i++)
#define max(a,b) ((a)>(b) ? (a) : (b))
#define min(a,b) ((a)<(b) ? (a) : (b))
#define zt(a,b) (max((a),(b))-min((a),(b)))
ll gcd(ll a,ll b){return b?gcd(b,a%b):a;}
ll nPr(int n,int r){ll i,result=1;rep(i,r){result*=(ll)(n-i);}return result;}
ll nCr(int n,int r){ll i,result=1; rep(i,min(r,n-r)){result*=(ll)(n-i);result/=(ll)(i+1);}return result;}
#define fact(n) nPr((int)(n),(int)(n))
#define nHr(n,r) nCr((int)((n)+(r)+1),(int)(r))
#define sankaku(x) (((x)*((x)+1))/2)
int dx[8]={1,0,-1,0,1,-1,-1,1};
int dy[8]={0,1,0,-1,1,1,-1,-1};
int upint(const void *a, const void *b) { return *(int *)a < *(int *)b ? -1 : *(int *)a > *(int *)b ? 1 : 0; }
int downint(const void *a, const void *b) { return *(int *)a < *(int *)b ? 1 : *(int *)a > *(int *)b ? -1 : 0; }
int upchar(const void* left, const void* right) {return strcmp((char *)left,(char *)right);}
int downchar(const void* left, const void* right) {return strcmp((char *)right,(char *)left);}
ll modpow(ll a, ll n, ll mod) {
  ll res = 1;
  while (n > 0) {
    if (n & 1) res = res * a % mod;
    a = a * a % mod;
    n >>= 1;
  }
  return res;
}
void initialize(){
    
}
int main(void){
  initialize();
  ll n,m,i,j,k,result=0,tmp=0,start=0;
  char s[LIMIT1];
  int u[LIMIT2]={0};
  int cc[2020]={0};
  
  scanf("%s",s);
  n=strlen(s);
  for(i=n-1;i>=0;i--){
    //tmp=1;
    tmp=modpow(10,n-1-i,2019);
    tmp*=(int)(s[i]-'0');
    if(i<n-1) tmp+=u[i+1];
    tmp%=2019;
    u[i]=tmp;
    cc[u[i]]++;
  }
  //qsort(u,n,sizeof(int),upint);
  result=cc[0];
  for(i=0;i<2019;i++){
    if(cc[i]>=2) result+=nCr(cc[i],2);
  }
  //rep(i,n) printf("%d ",u[i]);
  //printf("\n");
  printf("%lld",result);
  return 0;
}
 ```

Unoptimized Assembly Code:

```assembly
	.file	"temp.c"
	.text
	.globl	gcd
	.type	gcd, @function
gcd:
.LFB6:
	.cfi_startproc
	endbr64
	pushq	%rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	movq	%rsp, %rbp
	.cfi_def_cfa_register 6
	subq	$16, %rsp
	movq	%rdi, -8(%rbp)
	movq	%rsi, -16(%rbp)
	cmpq	$0, -16(%rbp)
	je	.L2
	movq	-8(%rbp), %rax
	cqto
	idivq	-16(%rbp)
	movq	-16(%rbp), %rax
	movq	%rdx, %rsi
	movq	%rax, %rdi
	call	gcd
	jmp	.L4
.L2:
	movq	-8(%rbp), %rax
.L4:
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE6:
	.size	gcd, .-gcd
	.globl	nPr
	.type	nPr, @function
nPr:
.LFB7:
	.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	%esi, -24(%rbp)
	movq	$1, -8(%rbp)
	movq	$0, -16(%rbp)
	jmp	.L6
.L7:
	movl	-20(%rbp), %eax
	cltq
	subq	-16(%rbp), %rax
	movq	-8(%rbp), %rdx
	imulq	%rdx, %rax
	movq	%rax, -8(%rbp)
	addq	$1, -16(%rbp)
.L6:
	movl	-24(%rbp), %eax
	cltq
	cmpq	%rax, -16(%rbp)
	jl	.L7
	movq	-8(%rbp), %rax
	popq	%rbp
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE7:
	.size	nPr, .-nPr
	.globl	nCr
	.type	nCr, @function
nCr:
.LFB8:
	.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	%esi, -24(%rbp)
	movq	$1, -8(%rbp)
	movq	$0, -16(%rbp)
	jmp	.L10
.L11:
	movl	-20(%rbp), %eax
	cltq
	subq	-16(%rbp), %rax
	movq	-8(%rbp), %rdx
	imulq	%rdx, %rax
	movq	%rax, -8(%rbp)
	movq	-16(%rbp), %rax
	leaq	1(%rax), %rcx
	movq	-8(%rbp), %rax
	cqto
	idivq	%rcx
	movq	%rax, -8(%rbp)
	addq	$1, -16(%rbp)
.L10:
	movl	-20(%rbp), %eax
	subl	-24(%rbp), %eax
	movl	%eax, %edx
	movl	-24(%rbp), %eax
	cmpl	%eax, %edx
	cmovle	%edx, %eax
	cltq
	cmpq	%rax, -16(%rbp)
	jl	.L11
	movq	-8(%rbp), %rax
	popq	%rbp
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE8:
	.size	nCr, .-nCr
	.globl	dx
	.data
	.align 32
	.type	dx, @object
	.size	dx, 32
dx:
	.long	1
	.long	0
	.long	-1
	.long	0
	.long	1
	.long	-1
	.long	-1
	.long	1
	.globl	dy
	.align 32
	.type	dy, @object
	.size	dy, 32
dy:
	.long	0
	.long	1
	.long	0
	.long	-1
	.long	1
	.long	1
	.long	-1
	.long	-1
	.text
	.globl	upint
	.type	upint, @function
upint:
.LFB9:
	.cfi_startproc
	endbr64
	pushq	%rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	movq	%rsp, %rbp
	.cfi_def_cfa_register 6
	movq	%rdi, -8(%rbp)
	movq	%rsi, -16(%rbp)
	movq	-8(%rbp), %rax
	movl	(%rax), %edx
	movq	-16(%rbp), %rax
	movl	(%rax), %eax
	cmpl	%eax, %edx
	jl	.L14
	movq	-8(%rbp), %rax
	movl	(%rax), %edx
	movq	-16(%rbp), %rax
	movl	(%rax), %eax
	cmpl	%eax, %edx
	setg	%al
	movzbl	%al, %eax
	jmp	.L16
.L14:
	movl	$-1, %eax
.L16:
	popq	%rbp
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE9:
	.size	upint, .-upint
	.globl	downint
	.type	downint, @function
downint:
.LFB10:
	.cfi_startproc
	endbr64
	pushq	%rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	movq	%rsp, %rbp
	.cfi_def_cfa_register 6
	movq	%rdi, -8(%rbp)
	movq	%rsi, -16(%rbp)
	movq	-8(%rbp), %rax
	movl	(%rax), %edx
	movq	-16(%rbp), %rax
	movl	(%rax), %eax
	cmpl	%eax, %edx
	jl	.L18
	movq	-8(%rbp), %rax
	movl	(%rax), %edx
	movq	-16(%rbp), %rax
	movl	(%rax), %eax
	cmpl	%eax, %edx
	jle	.L19
	movl	$-1, %eax
	jmp	.L22
.L19:
	movl	$0, %eax
	jmp	.L22
.L18:
	movl	$1, %eax
.L22:
	popq	%rbp
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE10:
	.size	downint, .-downint
	.globl	upchar
	.type	upchar, @function
upchar:
.LFB11:
	.cfi_startproc
	endbr64
	pushq	%rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	movq	%rsp, %rbp
	.cfi_def_cfa_register 6
	subq	$16, %rsp
	movq	%rdi, -8(%rbp)
	movq	%rsi, -16(%rbp)
	movq	-16(%rbp), %rdx
	movq	-8(%rbp), %rax
	movq	%rdx, %rsi
	movq	%rax, %rdi
	call	strcmp@PLT
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE11:
	.size	upchar, .-upchar
	.globl	downchar
	.type	downchar, @function
downchar:
.LFB12:
	.cfi_startproc
	endbr64
	pushq	%rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	movq	%rsp, %rbp
	.cfi_def_cfa_register 6
	subq	$16, %rsp
	movq	%rdi, -8(%rbp)
	movq	%rsi, -16(%rbp)
	movq	-8(%rbp), %rdx
	movq	-16(%rbp), %rax
	movq	%rdx, %rsi
	movq	%rax, %rdi
	call	strcmp@PLT
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE12:
	.size	downchar, .-downchar
	.globl	modpow
	.type	modpow, @function
modpow:
.LFB13:
	.cfi_startproc
	endbr64
	pushq	%rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	movq	%rsp, %rbp
	.cfi_def_cfa_register 6
	movq	%rdi, -24(%rbp)
	movq	%rsi, -32(%rbp)
	movq	%rdx, -40(%rbp)
	movq	$1, -8(%rbp)
	jmp	.L28
.L30:
	movq	-32(%rbp), %rax
	andl	$1, %eax
	testq	%rax, %rax
	je	.L29
	movq	-8(%rbp), %rax
	imulq	-24(%rbp), %rax
	cqto
	idivq	-40(%rbp)
	movq	%rdx, -8(%rbp)
.L29:
	movq	-24(%rbp), %rax
	imulq	%rax, %rax
	cqto
	idivq	-40(%rbp)
	movq	%rdx, -24(%rbp)
	sarq	-32(%rbp)
.L28:
	cmpq	$0, -32(%rbp)
	jg	.L30
	movq	-8(%rbp), %rax
	popq	%rbp
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE13:
	.size	modpow, .-modpow
	.globl	initialize
	.type	initialize, @function
initialize:
.LFB14:
	.cfi_startproc
	endbr64
	pushq	%rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	movq	%rsp, %rbp
	.cfi_def_cfa_register 6
	nop
	popq	%rbp
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE14:
	.size	initialize, .-initialize
	.section	.rodata
.LC0:
	.string	"%s"
.LC1:
	.string	"%lld"
	.text
	.globl	main
	.type	main, @function
main:
.LFB15:
	.cfi_startproc
	endbr64
	pushq	%rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	movq	%rsp, %rbp
	.cfi_def_cfa_register 6
	leaq	-2207744(%rsp), %r11
.LPSRL0:
	subq	$4096, %rsp
	orq	$0, (%rsp)
	cmpq	%r11, %rsp
	jne	.LPSRL0
	subq	$416, %rsp
	movq	%fs:40, %rax
	movq	%rax, -8(%rbp)
	xorl	%eax, %eax
	movl	$0, %eax
	call	initialize
	movq	$0, -2208144(%rbp)
	movq	$0, -2208136(%rbp)
	movq	$0, -2208128(%rbp)
	leaq	-2200032(%rbp), %rax
	movl	$2000008, %edx
	movl	$0, %esi
	movq	%rax, %rdi
	call	memset@PLT
	leaq	-2208112(%rbp), %rdx
	movl	$0, %eax
	movl	$1010, %ecx
	movq	%rdx, %rdi
	rep stosq
	leaq	-200016(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	leaq	-200016(%rbp), %rax
	movq	%rax, %rdi
	call	strlen@PLT
	movq	%rax, -2208120(%rbp)
	movq	-2208120(%rbp), %rax
	subq	$1, %rax
	movq	%rax, -2208152(%rbp)
	jmp	.L34
.L36:
	movq	-2208120(%rbp), %rax
	subq	$1, %rax
	subq	-2208152(%rbp), %rax
	movl	$2019, %edx
	movq	%rax, %rsi
	movl	$10, %edi
	call	modpow
	movq	%rax, -2208136(%rbp)
	leaq	-200016(%rbp), %rdx
	movq	-2208152(%rbp), %rax
	addq	%rdx, %rax
	movzbl	(%rax), %eax
	movsbl	%al, %eax
	subl	$48, %eax
	cltq
	movq	-2208136(%rbp), %rdx
	imulq	%rdx, %rax
	movq	%rax, -2208136(%rbp)
	movq	-2208120(%rbp), %rax
	subq	$1, %rax
	cmpq	%rax, -2208152(%rbp)
	jge	.L35
	movq	-2208152(%rbp), %rax
	addq	$1, %rax
	movl	-2200032(%rbp,%rax,4), %eax
	cltq
	addq	%rax, -2208136(%rbp)
.L35:
	movq	-2208136(%rbp), %rcx
	movabsq	$-9090891705468550697, %rdx
	movq	%rcx, %rax
	imulq	%rdx
	leaq	(%rdx,%rcx), %rax
	sarq	$10, %rax
	movq	%rcx, %rdx
	sarq	$63, %rdx
	subq	%rdx, %rax
	imulq	$2019, %rax, %rdx
	movq	%rcx, %rax
	subq	%rdx, %rax
	movq	%rax, -2208136(%rbp)
	movq	-2208136(%rbp), %rax
	movl	%eax, %edx
	movq	-2208152(%rbp), %rax
	movl	%edx, -2200032(%rbp,%rax,4)
	movq	-2208152(%rbp), %rax
	movl	-2200032(%rbp,%rax,4), %eax
	movslq	%eax, %rdx
	movl	-2208112(%rbp,%rdx,4), %edx
	addl	$1, %edx
	cltq
	movl	%edx, -2208112(%rbp,%rax,4)
	subq	$1, -2208152(%rbp)
.L34:
	cmpq	$0, -2208152(%rbp)
	jns	.L36
	movl	-2208112(%rbp), %eax
	cltq
	movq	%rax, -2208144(%rbp)
	movq	$0, -2208152(%rbp)
	jmp	.L37
.L39:
	movq	-2208152(%rbp), %rax
	movl	-2208112(%rbp,%rax,4), %eax
	cmpl	$1, %eax
	jle	.L38
	movq	-2208152(%rbp), %rax
	movl	-2208112(%rbp,%rax,4), %eax
	movl	$2, %esi
	movl	%eax, %edi
	call	nCr
	addq	%rax, -2208144(%rbp)
.L38:
	addq	$1, -2208152(%rbp)
.L37:
	cmpq	$2018, -2208152(%rbp)
	jle	.L39
	movq	-2208144(%rbp), %rax
	movq	%rax, %rsi
	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	.L41
	call	__stack_chk_fail@PLT
.L41:
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE15:
	.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	gcd
	.type	gcd, @function
gcd:
.LFB51:
	.cfi_startproc
	endbr64
	movq	%rdi, %rax
	movq	%rsi, %r8
	testq	%rsi, %rsi
	jne	.L3
	jmp	.L7
	.p2align 4,,10
	.p2align 3
.L5:
	movq	%rdx, %r8
.L3:
	cqto
	idivq	%r8
	movq	%r8, %rax
	testq	%rdx, %rdx
	jne	.L5
	movq	%r8, %rax
	ret
	.p2align 4,,10
	.p2align 3
.L7:
	movq	%rdi, %r8
	movq	%r8, %rax
	ret
	.cfi_endproc
.LFE51:
	.size	gcd, .-gcd
	.p2align 4
	.globl	nPr
	.type	nPr, @function
nPr:
.LFB52:
	.cfi_startproc
	endbr64
	testl	%esi, %esi
	jle	.L11
	movslq	%edi, %rdi
	movslq	%esi, %rsi
	movl	$1, %eax
	movq	%rdi, %rdx
	subq	%rsi, %rdx
	.p2align 4,,10
	.p2align 3
.L10:
	imulq	%rdi, %rax
	subq	$1, %rdi
	cmpq	%rdx, %rdi
	jne	.L10
	ret
	.p2align 4,,10
	.p2align 3
.L11:
	movl	$1, %eax
	ret
	.cfi_endproc
.LFE52:
	.size	nPr, .-nPr
	.p2align 4
	.globl	nCr
	.type	nCr, @function
nCr:
.LFB53:
	.cfi_startproc
	endbr64
	movl	%edi, %r8d
	subl	%esi, %r8d
	cmpl	%esi, %r8d
	cmovg	%esi, %r8d
	testl	%r8d, %r8d
	jle	.L16
	movslq	%edi, %rdi
	movslq	%r8d, %r8
	movl	$1, %ecx
	movl	$1, %eax
	leaq	1(%rdi), %rsi
	.p2align 4,,10
	.p2align 3
.L15:
	movq	%rsi, %rdx
	subq	%rcx, %rdx
	imulq	%rdx, %rax
	cqto
	idivq	%rcx
	movq	%rcx, %rdx
	addq	$1, %rcx
	cmpq	%rdx, %r8
	jne	.L15
	ret
	.p2align 4,,10
	.p2align 3
.L16:
	movl	$1, %eax
	ret
	.cfi_endproc
.LFE53:
	.size	nCr, .-nCr
	.p2align 4
	.globl	upint
	.type	upint, @function
upint:
.LFB54:
	.cfi_startproc
	endbr64
	movl	(%rsi), %eax
	cmpl	%eax, (%rdi)
	movl	$-1, %edx
	setg	%al
	movzbl	%al, %eax
	cmovl	%edx, %eax
	ret
	.cfi_endproc
.LFE54:
	.size	upint, .-upint
	.p2align 4
	.globl	downint
	.type	downint, @function
downint:
.LFB55:
	.cfi_startproc
	endbr64
	movl	(%rsi), %edx
	movl	$1, %eax
	cmpl	%edx, (%rdi)
	jl	.L21
	setg	%al
	movzbl	%al, %eax
	negl	%eax
.L21:
	ret
	.cfi_endproc
.LFE55:
	.size	downint, .-downint
	.p2align 4
	.globl	upchar
	.type	upchar, @function
upchar:
.LFB56:
	.cfi_startproc
	endbr64
	jmp	strcmp@PLT
	.cfi_endproc
.LFE56:
	.size	upchar, .-upchar
	.p2align 4
	.globl	downchar
	.type	downchar, @function
downchar:
.LFB57:
	.cfi_startproc
	endbr64
	movq	%rdi, %r8
	movq	%rsi, %rdi
	movq	%r8, %rsi
	jmp	strcmp@PLT
	.cfi_endproc
.LFE57:
	.size	downchar, .-downchar
	.p2align 4
	.globl	modpow
	.type	modpow, @function
modpow:
.LFB58:
	.cfi_startproc
	endbr64
	movq	%rdx, %rcx
	movl	$1, %r8d
	testq	%rsi, %rsi
	jle	.L26
	.p2align 4,,10
	.p2align 3
.L29:
	testb	$1, %sil
	je	.L28
	movq	%r8, %rax
	imulq	%rdi, %rax
	cqto
	idivq	%rcx
	movq	%rdx, %r8
.L28:
	imulq	%rdi, %rdi
	movq	%rdi, %rax
	cqto
	idivq	%rcx
	sarq	%rsi
	movq	%rdx, %rdi
	jne	.L29
.L26:
	movq	%r8, %rax
	ret
	.cfi_endproc
.LFE58:
	.size	modpow, .-modpow
	.p2align 4
	.globl	initialize
	.type	initialize, @function
initialize:
.LFB59:
	.cfi_startproc
	endbr64
	ret
	.cfi_endproc
.LFE59:
	.size	initialize, .-initialize
	.section	.rodata.str1.1,"aMS",@progbits,1
.LC0:
	.string	"%s"
.LC1:
	.string	"%lld"
	.section	.text.startup,"ax",@progbits
	.p2align 4
	.globl	main
	.type	main, @function
main:
.LFB60:
	.cfi_startproc
	endbr64
	pushq	%r12
	.cfi_def_cfa_offset 16
	.cfi_offset 12, -16
	pushq	%rbp
	.cfi_def_cfa_offset 24
	.cfi_offset 6, -24
	pushq	%rbx
	.cfi_def_cfa_offset 32
	.cfi_offset 3, -32
	leaq	-2207744(%rsp), %r11
	.cfi_def_cfa 11, 2207776
.LPSRL0:
	subq	$4096, %rsp
	orq	$0, (%rsp)
	cmpq	%r11, %rsp
	jne	.LPSRL0
	.cfi_def_cfa_register 7
	subq	$368, %rsp
	.cfi_def_cfa_offset 2208144
	movl	$2000008, %edx
	xorl	%esi, %esi
	leaq	8080(%rsp), %rbx
	leaq	2008096(%rsp), %rbp
	movq	%fs:40, %rax
	movq	%rax, 2208104(%rsp)
	xorl	%eax, %eax
	movq	%rbx, %rdi
	call	memset@PLT
	xorl	%eax, %eax
	movq	%rsp, %rdi
	movl	$1010, %ecx
	rep stosq
	movq	%rbp, %rsi
	leaq	.LC0(%rip), %rdi
	call	__isoc99_scanf@PLT
	movq	%rbp, %rdi
	call	strlen@PLT
	leaq	-1(%rax), %r12
	cmpq	$-1, %r12
	je	.L47
	movq	%r12, %r10
	movl	$1, %r11d
	movl	$1, %esi
	movabsq	$-9090891705468550697, %r9
	.p2align 4,,10
	.p2align 3
.L37:
	movsbl	0(%rbp,%r10), %ecx
	subl	$48, %ecx
	movslq	%ecx, %rcx
	imulq	%rsi, %rcx
	cmpq	%r10, %r12
	jle	.L41
	movslq	4(%rbx,%r10,4), %rax
	addq	%rax, %rcx
.L41:
	movq	%rcx, %rax
	imulq	%r9
	leaq	(%rdx,%rcx), %rax
	movq	%rcx, %rdx
	sarq	$10, %rax
	sarq	$63, %rdx
	subq	%rdx, %rax
	imulq	$2019, %rax, %rax
	subq	%rax, %rcx
	movl	%ecx, (%rbx,%r10,4)
	movslq	%ecx, %rcx
	addl	$1, (%rsp,%rcx,4)
	subq	$1, %r10
	jb	.L47
	movq	%r11, %r8
	movl	$1, %esi
	movl	$10, %ecx
	.p2align 4,,10
	.p2align 3
.L40:
	testb	$1, %r8b
	je	.L39
	imulq	%rcx, %rsi
	movq	%rsi, %rax
	movq	%rsi, %rdi
	imulq	%r9
	movq	%rdi, %rax
	sarq	$63, %rax
	leaq	(%rdx,%rsi), %rsi
	sarq	$10, %rsi
	subq	%rax, %rsi
	imulq	$2019, %rsi, %rax
	movq	%rdi, %rsi
	subq	%rax, %rsi
.L39:
	movq	%rcx, %rdi
	imulq	%rcx, %rdi
	movq	%rdi, %rax
	mulq	%r9
	shrq	$10, %rdx
	imulq	$2019, %rdx, %rax
	subq	%rax, %rdi
	sarq	%r8
	movq	%rdi, %rcx
	jne	.L40
	addq	$1, %r11
	jmp	.L37
.L47:
	movslq	(%rsp), %r8
	leaq	4(%rsp), %rax
	leaq	8076(%rsp), %rsi
	movq	%r8, %rdx
	jmp	.L38
	.p2align 4,,10
	.p2align 3
.L42:
	cmpq	%rax, %rsi
	je	.L45
.L59:
	movl	(%rax), %edx
	addq	$4, %rax
.L38:
	cmpl	$1, %edx
	jle	.L42
	cmpl	$2, %edx
	je	.L50
	movslq	%edx, %rcx
	cmpl	$3, %edx
	jle	.L43
	leaq	-1(%rcx), %rdx
	imulq	%rdx, %rcx
	sarq	%rcx
.L43:
	addq	%rcx, %r8
	cmpq	%rax, %rsi
	jne	.L59
.L45:
	xorl	%eax, %eax
	movq	%r8, %rdx
	movl	$1, %edi
	leaq	.LC1(%rip), %rsi
	call	__printf_chk@PLT
	movq	2208104(%rsp), %rax
	subq	%fs:40, %rax
	jne	.L60
	addq	$2208112, %rsp
	.cfi_remember_state
	.cfi_def_cfa_offset 32
	xorl	%eax, %eax
	popq	%rbx
	.cfi_def_cfa_offset 24
	popq	%rbp
	.cfi_def_cfa_offset 16
	popq	%r12
	.cfi_def_cfa_offset 8
	ret
	.p2align 4,,10
	.p2align 3
.L50:
	.cfi_restore_state
	movl	$1, %ecx
	jmp	.L43
.L60:
	call	__stack_chk_fail@PLT
	.cfi_endproc
.LFE60:
	.size	main, .-main
	.globl	dy
	.data
	.align 32
	.type	dy, @object
	.size	dy, 32
dy:
	.long	0
	.long	1
	.long	0
	.long	-1
	.long	1
	.long	1
	.long	-1
	.long	-1
	.globl	dx
	.align 32
	.type	dx, @object
	.size	dx, 32
dx:
	.long	1
	.long	0
	.long	-1
	.long	0
	.long	1
	.long	-1
	.long	-1
	.long	1
	.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	gcd
	.type	gcd, @function
gcd:
.LFB51:
	.cfi_startproc
	endbr64
	movq	%rdi, %rax
	movq	%rsi, %r8
	testq	%rsi, %rsi
	jne	.L3
	jmp	.L7
	.p2align 4,,10
	.p2align 3
.L5:
	movq	%rdx, %r8
.L3:
	cqto
	idivq	%r8
	movq	%r8, %rax
	testq	%rdx, %rdx
	jne	.L5
	movq	%r8, %rax
	ret
	.p2align 4,,10
	.p2align 3
.L7:
	movq	%rdi, %r8
	movq	%r8, %rax
	ret
	.cfi_endproc
.LFE51:
	.size	gcd, .-gcd
	.p2align 4
	.globl	nPr
	.type	nPr, @function
nPr:
.LFB52:
	.cfi_startproc
	endbr64
	testl	%esi, %esi
	jle	.L11
	movslq	%edi, %rdi
	movslq	%esi, %rsi
	movl	$1, %eax
	movq	%rdi, %rdx
	subq	%rsi, %rdx
	.p2align 4,,10
	.p2align 3
.L10:
	imulq	%rdi, %rax
	subq	$1, %rdi
	cmpq	%rdx, %rdi
	jne	.L10
	ret
	.p2align 4,,10
	.p2align 3
.L11:
	movl	$1, %eax
	ret
	.cfi_endproc
.LFE52:
	.size	nPr, .-nPr
	.p2align 4
	.globl	nCr
	.type	nCr, @function
nCr:
.LFB53:
	.cfi_startproc
	endbr64
	movl	%edi, %r8d
	subl	%esi, %r8d
	cmpl	%esi, %r8d
	cmovg	%esi, %r8d
	testl	%r8d, %r8d
	jle	.L16
	movslq	%edi, %rdi
	movslq	%r8d, %r8
	movl	$1, %ecx
	movl	$1, %eax
	leaq	1(%rdi), %rsi
	.p2align 4,,10
	.p2align 3
.L15:
	movq	%rsi, %rdx
	subq	%rcx, %rdx
	imulq	%rdx, %rax
	cqto
	idivq	%rcx
	movq	%rcx, %rdx
	addq	$1, %rcx
	cmpq	%rdx, %r8
	jne	.L15
	ret
	.p2align 4,,10
	.p2align 3
.L16:
	movl	$1, %eax
	ret
	.cfi_endproc
.LFE53:
	.size	nCr, .-nCr
	.p2align 4
	.globl	upint
	.type	upint, @function
upint:
.LFB54:
	.cfi_startproc
	endbr64
	movl	(%rsi), %eax
	cmpl	%eax, (%rdi)
	movl	$-1, %edx
	setg	%al
	movzbl	%al, %eax
	cmovl	%edx, %eax
	ret
	.cfi_endproc
.LFE54:
	.size	upint, .-upint
	.p2align 4
	.globl	downint
	.type	downint, @function
downint:
.LFB55:
	.cfi_startproc
	endbr64
	movl	(%rsi), %edx
	movl	$1, %eax
	cmpl	%edx, (%rdi)
	jl	.L21
	setg	%al
	movzbl	%al, %eax
	negl	%eax
.L21:
	ret
	.cfi_endproc
.LFE55:
	.size	downint, .-downint
	.p2align 4
	.globl	upchar
	.type	upchar, @function
upchar:
.LFB56:
	.cfi_startproc
	endbr64
	jmp	strcmp@PLT
	.cfi_endproc
.LFE56:
	.size	upchar, .-upchar
	.p2align 4
	.globl	downchar
	.type	downchar, @function
downchar:
.LFB57:
	.cfi_startproc
	endbr64
	movq	%rdi, %r8
	movq	%rsi, %rdi
	movq	%r8, %rsi
	jmp	strcmp@PLT
	.cfi_endproc
.LFE57:
	.size	downchar, .-downchar
	.p2align 4
	.globl	modpow
	.type	modpow, @function
modpow:
.LFB58:
	.cfi_startproc
	endbr64
	movq	%rdx, %rcx
	movl	$1, %r8d
	testq	%rsi, %rsi
	jle	.L26
	.p2align 4,,10
	.p2align 3
.L29:
	testb	$1, %sil
	je	.L28
	movq	%r8, %rax
	imulq	%rdi, %rax
	cqto
	idivq	%rcx
	movq	%rdx, %r8
.L28:
	imulq	%rdi, %rdi
	movq	%rdi, %rax
	cqto
	idivq	%rcx
	sarq	%rsi
	movq	%rdx, %rdi
	jne	.L29
.L26:
	movq	%r8, %rax
	ret
	.cfi_endproc
.LFE58:
	.size	modpow, .-modpow
	.p2align 4
	.globl	initialize
	.type	initialize, @function
initialize:
.LFB59:
	.cfi_startproc
	endbr64
	ret
	.cfi_endproc
.LFE59:
	.size	initialize, .-initialize
	.section	.rodata.str1.1,"aMS",@progbits,1
.LC0:
	.string	"%s"
.LC1:
	.string	"%lld"
	.section	.text.startup,"ax",@progbits
	.p2align 4
	.globl	main
	.type	main, @function
main:
.LFB60:
	.cfi_startproc
	endbr64
	pushq	%r12
	.cfi_def_cfa_offset 16
	.cfi_offset 12, -16
	pushq	%rbp
	.cfi_def_cfa_offset 24
	.cfi_offset 6, -24
	pushq	%rbx
	.cfi_def_cfa_offset 32
	.cfi_offset 3, -32
	leaq	-2207744(%rsp), %r11
	.cfi_def_cfa 11, 2207776
.LPSRL0:
	subq	$4096, %rsp
	orq	$0, (%rsp)
	cmpq	%r11, %rsp
	jne	.LPSRL0
	.cfi_def_cfa_register 7
	subq	$368, %rsp
	.cfi_def_cfa_offset 2208144
	movl	$2000008, %edx
	xorl	%esi, %esi
	leaq	8080(%rsp), %rbx
	leaq	2008096(%rsp), %rbp
	movq	%fs:40, %rax
	movq	%rax, 2208104(%rsp)
	xorl	%eax, %eax
	movq	%rbx, %rdi
	call	memset@PLT
	xorl	%eax, %eax
	movq	%rsp, %rdi
	movl	$1010, %ecx
	rep stosq
	movq	%rbp, %rsi
	leaq	.LC0(%rip), %rdi
	call	__isoc99_scanf@PLT
	movq	%rbp, %rdi
	call	strlen@PLT
	leaq	-1(%rax), %r12
	cmpq	$-1, %r12
	je	.L47
	movq	%r12, %r10
	movl	$1, %r11d
	movl	$1, %esi
	movabsq	$-9090891705468550697, %r9
	.p2align 4,,10
	.p2align 3
.L37:
	movsbl	0(%rbp,%r10), %ecx
	subl	$48, %ecx
	movslq	%ecx, %rcx
	imulq	%rsi, %rcx
	cmpq	%r10, %r12
	jle	.L41
	movslq	4(%rbx,%r10,4), %rax
	addq	%rax, %rcx
.L41:
	movq	%rcx, %rax
	imulq	%r9
	leaq	(%rdx,%rcx), %rax
	movq	%rcx, %rdx
	sarq	$10, %rax
	sarq	$63, %rdx
	subq	%rdx, %rax
	imulq	$2019, %rax, %rax
	subq	%rax, %rcx
	movl	%ecx, (%rbx,%r10,4)
	movslq	%ecx, %rcx
	addl	$1, (%rsp,%rcx,4)
	subq	$1, %r10
	jb	.L47
	movq	%r11, %r8
	movl	$1, %esi
	movl	$10, %ecx
	.p2align 4,,10
	.p2align 3
.L40:
	testb	$1, %r8b
	je	.L39
	imulq	%rcx, %rsi
	movq	%rsi, %rax
	movq	%rsi, %rdi
	imulq	%r9
	movq	%rdi, %rax
	sarq	$63, %rax
	leaq	(%rdx,%rsi), %rsi
	sarq	$10, %rsi
	subq	%rax, %rsi
	imulq	$2019, %rsi, %rax
	movq	%rdi, %rsi
	subq	%rax, %rsi
.L39:
	movq	%rcx, %rdi
	imulq	%rcx, %rdi
	movq	%rdi, %rax
	mulq	%r9
	shrq	$10, %rdx
	imulq	$2019, %rdx, %rax
	subq	%rax, %rdi
	sarq	%r8
	movq	%rdi, %rcx
	jne	.L40
	addq	$1, %r11
	jmp	.L37
.L47:
	movslq	(%rsp), %r8
	leaq	4(%rsp), %rax
	leaq	8076(%rsp), %rsi
	movq	%r8, %rdx
	jmp	.L38
	.p2align 4,,10
	.p2align 3
.L42:
	cmpq	%rax, %rsi
	je	.L45
.L59:
	movl	(%rax), %edx
	addq	$4, %rax
.L38:
	cmpl	$1, %edx
	jle	.L42
	cmpl	$2, %edx
	je	.L50
	movslq	%edx, %rcx
	cmpl	$3, %edx
	jle	.L43
	leaq	-1(%rcx), %rdx
	imulq	%rdx, %rcx
	sarq	%rcx
.L43:
	addq	%rcx, %r8
	cmpq	%rax, %rsi
	jne	.L59
.L45:
	xorl	%eax, %eax
	movq	%r8, %rdx
	movl	$1, %edi
	leaq	.LC1(%rip), %rsi
	call	__printf_chk@PLT
	movq	2208104(%rsp), %rax
	subq	%fs:40, %rax
	jne	.L60
	addq	$2208112, %rsp
	.cfi_remember_state
	.cfi_def_cfa_offset 32
	xorl	%eax, %eax
	popq	%rbx
	.cfi_def_cfa_offset 24
	popq	%rbp
	.cfi_def_cfa_offset 16
	popq	%r12
	.cfi_def_cfa_offset 8
	ret
	.p2align 4,,10
	.p2align 3
.L50:
	.cfi_restore_state
	movl	$1, %ecx
	jmp	.L43
.L60:
	call	__stack_chk_fail@PLT
	.cfi_endproc
.LFE60:
	.size	main, .-main
	.globl	dy
	.data
	.align 32
	.type	dy, @object
	.size	dy, 32
dy:
	.long	0
	.long	1
	.long	0
	.long	-1
	.long	1
	.long	1
	.long	-1
	.long	-1
	.globl	dx
	.align 32
	.type	dx, @object
	.size	dx, 32
dx:
	.long	1
	.long	0
	.long	-1
	.long	0
	.long	1
	.long	-1
	.long	-1
	.long	1
	.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 <string.h>
#include <math.h>
#define MOD1 1000000007
#define MOD2 998244353
#define LIMIT1 200002
#define LIMIT2 500002
typedef long long ll;
typedef long double ld;
#define rep(i,n) for(i=0;i<n;i++)
#define max(a,b) ((a)>(b) ? (a) : (b))
#define min(a,b) ((a)<(b) ? (a) : (b))
#define zt(a,b) (max((a),(b))-min((a),(b)))
ll gcd(ll a,ll b){return b?gcd(b,a%b):a;}
ll nPr(int n,int r){ll i,result=1;rep(i,r){result*=(ll)(n-i);}return result;}
ll nCr(int n,int r){ll i,result=1; rep(i,min(r,n-r)){result*=(ll)(n-i);result/=(ll)(i+1);}return result;}
#define fact(n) nPr((int)(n),(int)(n))
#define nHr(n,r) nCr((int)((n)+(r)+1),(int)(r))
#define sankaku(x) (((x)*((x)+1))/2)
int dx[8]={1,0,-1,0,1,-1,-1,1};
int dy[8]={0,1,0,-1,1,1,-1,-1};
int upint(const void *a, const void *b) { return *(int *)a < *(int *)b ? -1 : *(int *)a > *(int *)b ? 1 : 0; }
int downint(const void *a, const void *b) { return *(int *)a < *(int *)b ? 1 : *(int *)a > *(int *)b ? -1 : 0; }
int upchar(const void* left, const void* right) {return strcmp((char *)left,(char *)right);}
int downchar(const void* left, const void* right) {return strcmp((char *)right,(char *)left);}
ll modpow(ll a, ll n, ll mod) {
  ll res = 1;
  while (n > 0) {
    if (n & 1) res = res * a % mod;
    a = a * a % mod;
    n >>= 1;
  }
  return res;
}
void initialize(){
    
}
int main(void){
  initialize();
  ll n,m,i,j,k,result=0,tmp=0,start=0;
  char s[LIMIT1];
  int u[LIMIT2]={0};
  int cc[2020]={0};
  
  scanf("%s",s);
  n=strlen(s);
  for(i=n-1;i>=0;i--){
    //tmp=1;
    tmp=modpow(10,n-1-i,2019);
    tmp*=(int)(s[i]-'0');
    if(i<n-1) tmp+=u[i+1];
    tmp%=2019;
    u[i]=tmp;
    cc[u[i]]++;
  }
  //qsort(u,n,sizeof(int),upint);
  result=cc[0];
  for(i=0;i<2019;i++){
    if(cc[i]>=2) result+=nCr(cc[i],2);
  }
  //rep(i,n) printf("%d ",u[i]);
  //printf("\n");
  printf("%lld",result);
  return 0;
}
 
3054417607960
 218
 8160152899489
 7932848001410
 6806479110
 9600282290
 649171600089
 3000732030
 4123972862
 5345763557347

3 0 1 5 2 4 6 8 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>
#include <stdlib.h>
#include <string.h>
#include <math.h>
#define MOD1 1000000007
#define MOD2 998244353
#define LIMIT1 200002
#define LIMIT2 500002
typedef long long ll;
typedef long double ld;
#define rep(i,n) for(i=0;i<n;i++)
#define max(a,b) ((a)>(b) ? (a) : (b))
#define min(a,b) ((a)<(b) ? (a) : (b))
#define zt(a,b) (max((a),(b))-min((a),(b)))
ll gcd(ll a,ll b){return b?gcd(b,a%b):a;}
ll nPr(int n,int r){ll i,result=1;rep(i,r){result*=(ll)(n-i);}return result;}
ll nCr(int n,int r){ll i,result=1; rep(i,min(r,n-r)){result*=(ll)(n-i);result/=(ll)(i+1);}return result;}
#define fact(n) nPr((int)(n),(int)(n))
#define nHr(n,r) nCr((int)((n)+(r)+1),(int)(r))
#define sankaku(x) (((x)*((x)+1))/2)
int dx[8]={1,0,-1,0,1,-1,-1,1};
int dy[8]={0,1,0,-1,1,1,-1,-1};
int upint(const void *a, const void *b) { return *(int *)a < *(int *)b ? -1 : *(int *)a > *(int *)b ? 1 : 0; }
int downint(const void *a, const void *b) { return *(int *)a < *(int *)b ? 1 : *(int *)a > *(int *)b ? -1 : 0; }
int upchar(const void* left, const void* right) {return strcmp((char *)left,(char *)right);}
int downchar(const void* left, const void* right) {return strcmp((char *)right,(char *)left);}
ll modpow(ll a, ll n, ll mod) {
  ll res = 1;
  while (n > 0) {
    if (n & 1) res = res * a % mod;
    a = a * a % mod;
    n >>= 1;
  }
  return res;
}
void initialize(){
    
}
int main(void){
  initialize();
  ll n,m,i,j,k,result=0,tmp=0,start=0;
  char s[LIMIT1];
  int u[LIMIT2]={0};
  int cc[2020]={0};
  
  scanf("%s",s);
  n=strlen(s);
  for(i=n-1;i>=0;i--){
    //tmp=1;
    tmp=modpow(10,n-1-i,2019);
    tmp*=(int)(s[i]-'0');
    if(i<n-1) tmp+=u[i+1];
    tmp%=2019;
    u[i]=tmp;
    cc[u[i]]++;
  }
  //qsort(u,n,sizeof(int),upint);
  result=cc[0];
  for(i=0;i<2019;i++){
    if(cc[i]>=2) result+=nCr(cc[i],2);
  }
  //rep(i,n) printf("%d ",u[i]);
  //printf("\n");
  printf("%lld",result);
  return 0;
}
 ```

Unoptimized Assembly Code:

```assembly
	.file	"temp.c"
	.text
	.globl	gcd
	.type	gcd, @function
gcd:
.LFB6:
	.cfi_startproc
	endbr64
	pushq	%rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	movq	%rsp, %rbp
	.cfi_def_cfa_register 6
	subq	$16, %rsp
	movq	%rdi, -8(%rbp)
	movq	%rsi, -16(%rbp)
	cmpq	$0, -16(%rbp)
	je	.L2
	movq	-8(%rbp), %rax
	cqto
	idivq	-16(%rbp)
	movq	-16(%rbp), %rax
	movq	%rdx, %rsi
	movq	%rax, %rdi
	call	gcd
	jmp	.L4
.L2:
	movq	-8(%rbp), %rax
.L4:
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE6:
	.size	gcd, .-gcd
	.globl	nPr
	.type	nPr, @function
nPr:
.LFB7:
	.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	%esi, -24(%rbp)
	movq	$1, -8(%rbp)
	movq	$0, -16(%rbp)
	jmp	.L6
.L7:
	movl	-20(%rbp), %eax
	cltq
	subq	-16(%rbp), %rax
	movq	-8(%rbp), %rdx
	imulq	%rdx, %rax
	movq	%rax, -8(%rbp)
	addq	$1, -16(%rbp)
.L6:
	movl	-24(%rbp), %eax
	cltq
	cmpq	%rax, -16(%rbp)
	jl	.L7
	movq	-8(%rbp), %rax
	popq	%rbp
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE7:
	.size	nPr, .-nPr
	.globl	nCr
	.type	nCr, @function
nCr:
.LFB8:
	.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	%esi, -24(%rbp)
	movq	$1, -8(%rbp)
	movq	$0, -16(%rbp)
	jmp	.L10
.L11:
	movl	-20(%rbp), %eax
	cltq
	subq	-16(%rbp), %rax
	movq	-8(%rbp), %rdx
	imulq	%rdx, %rax
	movq	%rax, -8(%rbp)
	movq	-16(%rbp), %rax
	leaq	1(%rax), %rcx
	movq	-8(%rbp), %rax
	cqto
	idivq	%rcx
	movq	%rax, -8(%rbp)
	addq	$1, -16(%rbp)
.L10:
	movl	-20(%rbp), %eax
	subl	-24(%rbp), %eax
	movl	%eax, %edx
	movl	-24(%rbp), %eax
	cmpl	%eax, %edx
	cmovle	%edx, %eax
	cltq
	cmpq	%rax, -16(%rbp)
	jl	.L11
	movq	-8(%rbp), %rax
	popq	%rbp
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE8:
	.size	nCr, .-nCr
	.globl	dx
	.data
	.align 32
	.type	dx, @object
	.size	dx, 32
dx:
	.long	1
	.long	0
	.long	-1
	.long	0
	.long	1
	.long	-1
	.long	-1
	.long	1
	.globl	dy
	.align 32
	.type	dy, @object
	.size	dy, 32
dy:
	.long	0
	.long	1
	.long	0
	.long	-1
	.long	1
	.long	1
	.long	-1
	.long	-1
	.text
	.globl	upint
	.type	upint, @function
upint:
.LFB9:
	.cfi_startproc
	endbr64
	pushq	%rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	movq	%rsp, %rbp
	.cfi_def_cfa_register 6
	movq	%rdi, -8(%rbp)
	movq	%rsi, -16(%rbp)
	movq	-8(%rbp), %rax
	movl	(%rax), %edx
	movq	-16(%rbp), %rax
	movl	(%rax), %eax
	cmpl	%eax, %edx
	jl	.L14
	movq	-8(%rbp), %rax
	movl	(%rax), %edx
	movq	-16(%rbp), %rax
	movl	(%rax), %eax
	cmpl	%eax, %edx
	setg	%al
	movzbl	%al, %eax
	jmp	.L16
.L14:
	movl	$-1, %eax
.L16:
	popq	%rbp
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE9:
	.size	upint, .-upint
	.globl	downint
	.type	downint, @function
downint:
.LFB10:
	.cfi_startproc
	endbr64
	pushq	%rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	movq	%rsp, %rbp
	.cfi_def_cfa_register 6
	movq	%rdi, -8(%rbp)
	movq	%rsi, -16(%rbp)
	movq	-8(%rbp), %rax
	movl	(%rax), %edx
	movq	-16(%rbp), %rax
	movl	(%rax), %eax
	cmpl	%eax, %edx
	jl	.L18
	movq	-8(%rbp), %rax
	movl	(%rax), %edx
	movq	-16(%rbp), %rax
	movl	(%rax), %eax
	cmpl	%eax, %edx
	jle	.L19
	movl	$-1, %eax
	jmp	.L22
.L19:
	movl	$0, %eax
	jmp	.L22
.L18:
	movl	$1, %eax
.L22:
	popq	%rbp
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE10:
	.size	downint, .-downint
	.globl	upchar
	.type	upchar, @function
upchar:
.LFB11:
	.cfi_startproc
	endbr64
	pushq	%rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	movq	%rsp, %rbp
	.cfi_def_cfa_register 6
	subq	$16, %rsp
	movq	%rdi, -8(%rbp)
	movq	%rsi, -16(%rbp)
	movq	-16(%rbp), %rdx
	movq	-8(%rbp), %rax
	movq	%rdx, %rsi
	movq	%rax, %rdi
	call	strcmp@PLT
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE11:
	.size	upchar, .-upchar
	.globl	downchar
	.type	downchar, @function
downchar:
.LFB12:
	.cfi_startproc
	endbr64
	pushq	%rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	movq	%rsp, %rbp
	.cfi_def_cfa_register 6
	subq	$16, %rsp
	movq	%rdi, -8(%rbp)
	movq	%rsi, -16(%rbp)
	movq	-8(%rbp), %rdx
	movq	-16(%rbp), %rax
	movq	%rdx, %rsi
	movq	%rax, %rdi
	call	strcmp@PLT
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE12:
	.size	downchar, .-downchar
	.globl	modpow
	.type	modpow, @function
modpow:
.LFB13:
	.cfi_startproc
	endbr64
	pushq	%rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	movq	%rsp, %rbp
	.cfi_def_cfa_register 6
	movq	%rdi, -24(%rbp)
	movq	%rsi, -32(%rbp)
	movq	%rdx, -40(%rbp)
	movq	$1, -8(%rbp)
	jmp	.L28
.L30:
	movq	-32(%rbp), %rax
	andl	$1, %eax
	testq	%rax, %rax
	je	.L29
	movq	-8(%rbp), %rax
	imulq	-24(%rbp), %rax
	cqto
	idivq	-40(%rbp)
	movq	%rdx, -8(%rbp)
.L29:
	movq	-24(%rbp), %rax
	imulq	%rax, %rax
	cqto
	idivq	-40(%rbp)
	movq	%rdx, -24(%rbp)
	sarq	-32(%rbp)
.L28:
	cmpq	$0, -32(%rbp)
	jg	.L30
	movq	-8(%rbp), %rax
	popq	%rbp
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE13:
	.size	modpow, .-modpow
	.globl	initialize
	.type	initialize, @function
initialize:
.LFB14:
	.cfi_startproc
	endbr64
	pushq	%rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	movq	%rsp, %rbp
	.cfi_def_cfa_register 6
	nop
	popq	%rbp
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE14:
	.size	initialize, .-initialize
	.section	.rodata
.LC0:
	.string	"%s"
.LC1:
	.string	"%lld"
	.text
	.globl	main
	.type	main, @function
main:
.LFB15:
	.cfi_startproc
	endbr64
	pushq	%rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	movq	%rsp, %rbp
	.cfi_def_cfa_register 6
	leaq	-2207744(%rsp), %r11
.LPSRL0:
	subq	$4096, %rsp
	orq	$0, (%rsp)
	cmpq	%r11, %rsp
	jne	.LPSRL0
	subq	$416, %rsp
	movq	%fs:40, %rax
	movq	%rax, -8(%rbp)
	xorl	%eax, %eax
	movl	$0, %eax
	call	initialize
	movq	$0, -2208144(%rbp)
	movq	$0, -2208136(%rbp)
	movq	$0, -2208128(%rbp)
	leaq	-2200032(%rbp), %rax
	movl	$2000008, %edx
	movl	$0, %esi
	movq	%rax, %rdi
	call	memset@PLT
	leaq	-2208112(%rbp), %rdx
	movl	$0, %eax
	movl	$1010, %ecx
	movq	%rdx, %rdi
	rep stosq
	leaq	-200016(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	leaq	-200016(%rbp), %rax
	movq	%rax, %rdi
	call	strlen@PLT
	movq	%rax, -2208120(%rbp)
	movq	-2208120(%rbp), %rax
	subq	$1, %rax
	movq	%rax, -2208152(%rbp)
	jmp	.L34
.L36:
	movq	-2208120(%rbp), %rax
	subq	$1, %rax
	subq	-2208152(%rbp), %rax
	movl	$2019, %edx
	movq	%rax, %rsi
	movl	$10, %edi
	call	modpow
	movq	%rax, -2208136(%rbp)
	leaq	-200016(%rbp), %rdx
	movq	-2208152(%rbp), %rax
	addq	%rdx, %rax
	movzbl	(%rax), %eax
	movsbl	%al, %eax
	subl	$48, %eax
	cltq
	movq	-2208136(%rbp), %rdx
	imulq	%rdx, %rax
	movq	%rax, -2208136(%rbp)
	movq	-2208120(%rbp), %rax
	subq	$1, %rax
	cmpq	%rax, -2208152(%rbp)
	jge	.L35
	movq	-2208152(%rbp), %rax
	addq	$1, %rax
	movl	-2200032(%rbp,%rax,4), %eax
	cltq
	addq	%rax, -2208136(%rbp)
.L35:
	movq	-2208136(%rbp), %rcx
	movabsq	$-9090891705468550697, %rdx
	movq	%rcx, %rax
	imulq	%rdx
	leaq	(%rdx,%rcx), %rax
	sarq	$10, %rax
	movq	%rcx, %rdx
	sarq	$63, %rdx
	subq	%rdx, %rax
	imulq	$2019, %rax, %rdx
	movq	%rcx, %rax
	subq	%rdx, %rax
	movq	%rax, -2208136(%rbp)
	movq	-2208136(%rbp), %rax
	movl	%eax, %edx
	movq	-2208152(%rbp), %rax
	movl	%edx, -2200032(%rbp,%rax,4)
	movq	-2208152(%rbp), %rax
	movl	-2200032(%rbp,%rax,4), %eax
	movslq	%eax, %rdx
	movl	-2208112(%rbp,%rdx,4), %edx
	addl	$1, %edx
	cltq
	movl	%edx, -2208112(%rbp,%rax,4)
	subq	$1, -2208152(%rbp)
.L34:
	cmpq	$0, -2208152(%rbp)
	jns	.L36
	movl	-2208112(%rbp), %eax
	cltq
	movq	%rax, -2208144(%rbp)
	movq	$0, -2208152(%rbp)
	jmp	.L37
.L39:
	movq	-2208152(%rbp), %rax
	movl	-2208112(%rbp,%rax,4), %eax
	cmpl	$1, %eax
	jle	.L38
	movq	-2208152(%rbp), %rax
	movl	-2208112(%rbp,%rax,4), %eax
	movl	$2, %esi
	movl	%eax, %edi
	call	nCr
	addq	%rax, -2208144(%rbp)
.L38:
	addq	$1, -2208152(%rbp)
.L37:
	cmpq	$2018, -2208152(%rbp)
	jle	.L39
	movq	-2208144(%rbp), %rax
	movq	%rax, %rsi
	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	.L41
	call	__stack_chk_fail@PLT
.L41:
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE15:
	.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	gcd
	.type	gcd, @function
gcd:
.LFB6:
	.cfi_startproc
	endbr64
	pushq	%rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	movq	%rsp, %rbp
	.cfi_def_cfa_register 6
	subq	$16, %rsp
	movq	%rdi, -8(%rbp)
	movq	%rsi, -16(%rbp)
	cmpq	$0, -16(%rbp)
	je	.L2
	movq	-8(%rbp), %rax
	cqto
	idivq	-16(%rbp)
	movq	-16(%rbp), %rax
	movq	%rdx, %rsi
	movq	%rax, %rdi
	call	gcd
	jmp	.L4
.L2:
	movq	-8(%rbp), %rax
.L4:
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE6:
	.size	gcd, .-gcd
	.globl	nPr
	.type	nPr, @function
nPr:
.LFB7:
	.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	%esi, -24(%rbp)
	movq	$1, -8(%rbp)
	movq	$0, -16(%rbp)
	jmp	.L6
.L7:
	movl	-20(%rbp), %eax
	cltq
	subq	-16(%rbp), %rax
	movq	-8(%rbp), %rdx
	imulq	%rdx, %rax
	movq	%rax, -8(%rbp)
	addq	$1, -16(%rbp)
.L6:
	movl	-24(%rbp), %eax
	cltq
	cmpq	%rax, -16(%rbp)
	jl	.L7
	movq	-8(%rbp), %rax
	popq	%rbp
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE7:
	.size	nPr, .-nPr
	.globl	nCr
	.type	nCr, @function
nCr:
.LFB8:
	.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	%esi, -24(%rbp)
	movq	$1, -8(%rbp)
	movq	$0, -16(%rbp)
	jmp	.L10
.L11:
	movl	-20(%rbp), %eax
	cltq
	subq	-16(%rbp), %rax
	movq	-8(%rbp), %rdx
	imulq	%rdx, %rax
	movq	%rax, -8(%rbp)
	movq	-16(%rbp), %rax
	leaq	1(%rax), %rcx
	movq	-8(%rbp), %rax
	cqto
	idivq	%rcx
	movq	%rax, -8(%rbp)
	addq	$1, -16(%rbp)
.L10:
	movl	-20(%rbp), %eax
	subl	-24(%rbp), %eax
	movl	%eax, %edx
	movl	-24(%rbp), %eax
	cmpl	%eax, %edx
	cmovle	%edx, %eax
	cltq
	cmpq	%rax, -16(%rbp)
	jl	.L11
	movq	-8(%rbp), %rax
	popq	%rbp
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE8:
	.size	nCr, .-nCr
	.globl	dx
	.data
	.align 32
	.type	dx, @object
	.size	dx, 32
dx:
	.long	1
	.long	0
	.long	-1
	.long	0
	.long	1
	.long	-1
	.long	-1
	.long	1
	.globl	dy
	.align 32
	.type	dy, @object
	.size	dy, 32
dy:
	.long	0
	.long	1
	.long	0
	.long	-1
	.long	1
	.long	1
	.long	-1
	.long	-1
	.text
	.globl	upint
	.type	upint, @function
upint:
.LFB9:
	.cfi_startproc
	endbr64
	pushq	%rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	movq	%rsp, %rbp
	.cfi_def_cfa_register 6
	movq	%rdi, -8(%rbp)
	movq	%rsi, -16(%rbp)
	movq	-8(%rbp), %rax
	movl	(%rax), %edx
	movq	-16(%rbp), %rax
	movl	(%rax), %eax
	cmpl	%eax, %edx
	jl	.L14
	movq	-8(%rbp), %rax
	movl	(%rax), %edx
	movq	-16(%rbp), %rax
	movl	(%rax), %eax
	cmpl	%eax, %edx
	setg	%al
	movzbl	%al, %eax
	jmp	.L16
.L14:
	movl	$-1, %eax
.L16:
	popq	%rbp
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE9:
	.size	upint, .-upint
	.globl	downint
	.type	downint, @function
downint:
.LFB10:
	.cfi_startproc
	endbr64
	pushq	%rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	movq	%rsp, %rbp
	.cfi_def_cfa_register 6
	movq	%rdi, -8(%rbp)
	movq	%rsi, -16(%rbp)
	movq	-8(%rbp), %rax
	movl	(%rax), %edx
	movq	-16(%rbp), %rax
	movl	(%rax), %eax
	cmpl	%eax, %edx
	jl	.L18
	movq	-8(%rbp), %rax
	movl	(%rax), %edx
	movq	-16(%rbp), %rax
	movl	(%rax), %eax
	cmpl	%eax, %edx
	jle	.L19
	movl	$-1, %eax
	jmp	.L22
.L19:
	movl	$0, %eax
	jmp	.L22
.L18:
	movl	$1, %eax
.L22:
	popq	%rbp
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE10:
	.size	downint, .-downint
	.globl	upchar
	.type	upchar, @function
upchar:
.LFB11:
	.cfi_startproc
	endbr64
	pushq	%rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	movq	%rsp, %rbp
	.cfi_def_cfa_register 6
	subq	$16, %rsp
	movq	%rdi, -8(%rbp)
	movq	%rsi, -16(%rbp)
	movq	-16(%rbp), %rdx
	movq	-8(%rbp), %rax
	movq	%rdx, %rsi
	movq	%rax, %rdi
	call	strcmp@PLT
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE11:
	.size	upchar, .-upchar
	.globl	downchar
	.type	downchar, @function
downchar:
.LFB12:
	.cfi_startproc
	endbr64
	pushq	%rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	movq	%rsp, %rbp
	.cfi_def_cfa_register 6
	subq	$16, %rsp
	movq	%rdi, -8(%rbp)
	movq	%rsi, -16(%rbp)
	movq	-8(%rbp), %rdx
	movq	-16(%rbp), %rax
	movq	%rdx, %rsi
	movq	%rax, %rdi
	call	strcmp@PLT
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE12:
	.size	downchar, .-downchar
	.globl	modpow
	.type	modpow, @function
modpow:
.LFB13:
	.cfi_startproc
	endbr64
	pushq	%rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	movq	%rsp, %rbp
	.cfi_def_cfa_register 6
	movq	%rdi, -24(%rbp)
	movq	%rsi, -32(%rbp)
	movq	%rdx, -40(%rbp)
	movq	$1, -8(%rbp)
	jmp	.L28
.L30:
	movq	-32(%rbp), %rax
	andl	$1, %eax
	testq	%rax, %rax
	je	.L29
	movq	-8(%rbp), %rax
	imulq	-24(%rbp), %rax
	cqto
	idivq	-40(%rbp)
	movq	%rdx, -8(%rbp)
.L29:
	movq	-24(%rbp), %rax
	imulq	%rax, %rax
	cqto
	idivq	-40(%rbp)
	movq	%rdx, -24(%rbp)
	sarq	-32(%rbp)
.L28:
	cmpq	$0, -32(%rbp)
	jg	.L30
	movq	-8(%rbp), %rax
	popq	%rbp
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE13:
	.size	modpow, .-modpow
	.globl	initialize
	.type	initialize, @function
initialize:
.LFB14:
	.cfi_startproc
	endbr64
	pushq	%rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	movq	%rsp, %rbp
	.cfi_def_cfa_register 6
	nop
	popq	%rbp
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE14:
	.size	initialize, .-initialize
	.section	.rodata
.LC0:
	.string	"%s"
.LC1:
	.string	"%lld"
	.text
	.globl	main
	.type	main, @function
main:
.LFB15:
	.cfi_startproc
	endbr64
	pushq	%rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	movq	%rsp, %rbp
	.cfi_def_cfa_register 6
	leaq	-2207744(%rsp), %r11
.LPSRL0:
	subq	$4096, %rsp
	orq	$0, (%rsp)
	cmpq	%r11, %rsp
	jne	.LPSRL0
	subq	$416, %rsp
	movq	%fs:40, %rax
	movq	%rax, -8(%rbp)
	xorl	%eax, %eax
	movl	$0, %eax
	call	initialize
	movq	$0, -2208144(%rbp)
	movq	$0, -2208136(%rbp)
	movq	$0, -2208128(%rbp)
	leaq	-2200032(%rbp), %rax
	movl	$2000008, %edx
	movl	$0, %esi
	movq	%rax, %rdi
	call	memset@PLT
	leaq	-2208112(%rbp), %rdx
	movl	$0, %eax
	movl	$1010, %ecx
	movq	%rdx, %rdi
	rep stosq
	leaq	-200016(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	leaq	-200016(%rbp), %rax
	movq	%rax, %rdi
	call	strlen@PLT
	movq	%rax, -2208120(%rbp)
	movq	-2208120(%rbp), %rax
	subq	$1, %rax
	movq	%rax, -2208152(%rbp)
	jmp	.L34
.L36:
	movq	-2208120(%rbp), %rax
	subq	$1, %rax
	subq	-2208152(%rbp), %rax
	movl	$2019, %edx
	movq	%rax, %rsi
	movl	$10, %edi
	call	modpow
	movq	%rax, -2208136(%rbp)
	leaq	-200016(%rbp), %rdx
	movq	-2208152(%rbp), %rax
	addq	%rdx, %rax
	movzbl	(%rax), %eax
	movsbl	%al, %eax
	subl	$48, %eax
	cltq
	movq	-2208136(%rbp), %rdx
	imulq	%rdx, %rax
	movq	%rax, -2208136(%rbp)
	movq	-2208120(%rbp), %rax
	subq	$1, %rax
	cmpq	%rax, -2208152(%rbp)
	jge	.L35
	movq	-2208152(%rbp), %rax
	addq	$1, %rax
	movl	-2200032(%rbp,%rax,4), %eax
	cltq
	addq	%rax, -2208136(%rbp)
.L35:
	movq	-2208136(%rbp), %rcx
	movabsq	$-9090891705468550697, %rdx
	movq	%rcx, %rax
	imulq	%rdx
	leaq	(%rdx,%rcx), %rax
	sarq	$10, %rax
	movq	%rcx, %rdx
	sarq	$63, %rdx
	subq	%rdx, %rax
	imulq	$2019, %rax, %rdx
	movq	%rcx, %rax
	subq	%rdx, %rax
	movq	%rax, -2208136(%rbp)
	movq	-2208136(%rbp), %rax
	movl	%eax, %edx
	movq	-2208152(%rbp), %rax
	movl	%edx, -2200032(%rbp,%rax,4)
	movq	-2208152(%rbp), %rax
	movl	-2200032(%rbp,%rax,4), %eax
	movslq	%eax, %rdx
	movl	-2208112(%rbp,%rdx,4), %edx
	addl	$1, %edx
	cltq
	movl	%edx, -2208112(%rbp,%rax,4)
	subq	$1, -2208152(%rbp)
.L34:
	cmpq	$0, -2208152(%rbp)
	jns	.L36
	movl	-2208112(%rbp), %eax
	cltq
	movq	%rax, -2208144(%rbp)
	movq	$0, -2208152(%rbp)
	jmp	.L37
.L39:
	movq	-2208152(%rbp), %rax
	movl	-2208112(%rbp,%rax,4), %eax
	cmpl	$1, %eax
	jle	.L38
	movq	-2208152(%rbp), %rax
	movl	-2208112(%rbp,%rax,4), %eax
	movl	$2, %esi
	movl	%eax, %edi
	call	nCr
	addq	%rax, -2208144(%rbp)
.L38:
	addq	$1, -2208152(%rbp)
.L37:
	cmpq	$2018, -2208152(%rbp)
	jle	.L39
	movq	-2208144(%rbp), %rax
	movq	%rax, %rsi
	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	.L41
	call	__stack_chk_fail@PLT
.L41:
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE15:
	.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:
