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 ans = 0;

void dfs(int array[], int k, int s){
  if(array[0] == 2){
    int sum = 0;
    for(int i=1; i<=3; i++)
      sum += array[i];
    if(s-k <= sum  &&  sum <= s)
      ans++;
    return;
  }

  for(int i=0; i<=k; i++){
    array[++array[0]] = i;
    dfs(array, k, s);
    array[0]--;
  }
}
int main(){
  int k, s;  scanf("%d %d", &k, &s);
  int array[4] = {0};
  dfs(array, k, s);

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

  return 0;
}
```

Unoptimized Assembly Code:

```assembly
	.file	"temp.c"
	.text
	.globl	ans
	.bss
	.align 4
	.type	ans, @object
	.size	ans, 4
ans:
	.zero	4
	.text
	.globl	dfs
	.type	dfs, @function
dfs:
.LFB0:
	.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	%rdi, -24(%rbp)
	movl	%esi, -28(%rbp)
	movl	%edx, -32(%rbp)
	movq	-24(%rbp), %rax
	movl	(%rax), %eax
	cmpl	$2, %eax
	jne	.L2
	movl	$0, -12(%rbp)
	movl	$1, -8(%rbp)
	jmp	.L3
.L4:
	movl	-8(%rbp), %eax
	cltq
	leaq	0(,%rax,4), %rdx
	movq	-24(%rbp), %rax
	addq	%rdx, %rax
	movl	(%rax), %eax
	addl	%eax, -12(%rbp)
	addl	$1, -8(%rbp)
.L3:
	cmpl	$3, -8(%rbp)
	jle	.L4
	movl	-32(%rbp), %eax
	subl	-28(%rbp), %eax
	cmpl	%eax, -12(%rbp)
	jl	.L9
	movl	-12(%rbp), %eax
	cmpl	-32(%rbp), %eax
	jg	.L9
	movl	ans(%rip), %eax
	addl	$1, %eax
	movl	%eax, ans(%rip)
	jmp	.L9
.L2:
	movl	$0, -4(%rbp)
	jmp	.L7
.L8:
	movq	-24(%rbp), %rax
	movl	(%rax), %eax
	leal	1(%rax), %edx
	movq	-24(%rbp), %rax
	movl	%edx, (%rax)
	movq	-24(%rbp), %rax
	movl	(%rax), %eax
	cltq
	leaq	0(,%rax,4), %rdx
	movq	-24(%rbp), %rax
	addq	%rax, %rdx
	movl	-4(%rbp), %eax
	movl	%eax, (%rdx)
	movl	-32(%rbp), %edx
	movl	-28(%rbp), %ecx
	movq	-24(%rbp), %rax
	movl	%ecx, %esi
	movq	%rax, %rdi
	call	dfs
	movq	-24(%rbp), %rax
	movl	(%rax), %eax
	leal	-1(%rax), %edx
	movq	-24(%rbp), %rax
	movl	%edx, (%rax)
	addl	$1, -4(%rbp)
.L7:
	movl	-4(%rbp), %eax
	cmpl	-28(%rbp), %eax
	jle	.L8
	jmp	.L1
.L9:
	nop
.L1:
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE0:
	.size	dfs, .-dfs
	.section	.rodata
.LC0:
	.string	"%d %d"
.LC1:
	.string	"%d\n"
	.text
	.globl	main
	.type	main, @function
main:
.LFB1:
	.cfi_startproc
	endbr64
	pushq	%rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	movq	%rsp, %rbp
	.cfi_def_cfa_register 6
	subq	$48, %rsp
	movq	%fs:40, %rax
	movq	%rax, -8(%rbp)
	xorl	%eax, %eax
	leaq	-36(%rbp), %rdx
	leaq	-40(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movq	$0, -32(%rbp)
	movq	$0, -24(%rbp)
	movl	-36(%rbp), %edx
	movl	-40(%rbp), %ecx
	leaq	-32(%rbp), %rax
	movl	%ecx, %esi
	movq	%rax, %rdi
	call	dfs
	movl	ans(%rip), %eax
	movl	%eax, %esi
	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	.L12
	call	__stack_chk_fail@PLT
.L12:
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE1:
	.size	main, .-main
	.ident	"GCC: (Ubuntu 11.4.0-1ubuntu1~22.04) 11.4.0"
	.section	.note.GNU-stack,"",@progbits
	.section	.note.gnu.property,"a"
	.align 8
	.long	1f - 0f
	.long	4f - 1f
	.long	5
0:
	.string	"GNU"
1:
	.align 8
	.long	0xc0000002
	.long	3f - 2f
2:
	.long	0x3
3:
	.align 8
4:
```

Only output the optimized assembly code. Do not include any other text. Do not write any comments in the assembly code. Wrap the assembly code in ```assembly``` tags.
user
	.file	"temp.c"
	.text
	.p2align 4
	.globl	dfs
	.type	dfs, @function
dfs:
.LFB23:
	.cfi_startproc
	endbr64
	pushq	%r15
	.cfi_def_cfa_offset 16
	.cfi_offset 15, -16
	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
	movl	%esi, %r12d
	pushq	%rbp
	.cfi_def_cfa_offset 48
	.cfi_offset 6, -48
	pushq	%rbx
	.cfi_def_cfa_offset 56
	.cfi_offset 3, -56
	movq	%rdi, %rbx
	subq	$40, %rsp
	.cfi_def_cfa_offset 96
	movl	(%rdi), %eax
	cmpl	$2, %eax
	je	.L2
	movl	%edx, %r14d
	movl	$0, 16(%rsp)
	subl	%esi, %r14d
	testl	%esi, %esi
	js	.L1
	movl	%r14d, %edi
	movl	%edx, %r14d
	movl	%edi, %r13d
.L3:
	addl	$1, %eax
	movl	16(%rsp), %edi
	movl	$0, 20(%rsp)
	movl	%eax, (%rbx)
	cltq
	movl	%edi, (%rbx,%rax,4)
	movl	(%rbx), %eax
	cmpl	$2, %eax
	je	.L114
	movl	%r14d, %r15d
	movl	%r13d, %r14d
	movl	%r12d, %r13d
.L6:
	addl	$1, %eax
	movl	20(%rsp), %edi
	movl	$0, 24(%rsp)
	movl	%r15d, %ebp
	movl	%eax, (%rbx)
	cltq
	movl	%edi, (%rbx,%rax,4)
	movl	(%rbx), %eax
	cmpl	$2, %eax
	je	.L115
.L8:
	addl	$1, %eax
	movl	24(%rsp), %edi
	xorl	%ecx, %ecx
	movl	%eax, (%rbx)
	cltq
	movl	%edi, (%rbx,%rax,4)
	movl	(%rbx), %eax
	cmpl	$2, %eax
	je	.L116
	movl	%ebp, %edx
	movl	%ecx, %ebp
.L10:
	addl	$1, %eax
	xorl	%r15d, %r15d
	movl	%eax, (%rbx)
	cltq
	movl	%ebp, (%rbx,%rax,4)
	movl	(%rbx), %eax
	cmpl	$2, %eax
	je	.L117
	movl	%ebp, 28(%rsp)
	movl	%edx, %ebp
.L12:
	addl	$1, %eax
	xorl	%ecx, %ecx
	movl	%eax, (%rbx)
	cltq
	movl	%r15d, (%rbx,%rax,4)
	movl	(%rbx), %eax
	cmpl	$2, %eax
	je	.L118
	movl	%ebp, %edx
	movl	%ecx, %ebp
.L14:
	addl	$1, %eax
	xorl	%r12d, %r12d
	movl	%eax, (%rbx)
	cltq
	movl	%ebp, (%rbx,%rax,4)
	movl	(%rbx), %eax
	cmpl	$2, %eax
	je	.L119
.L16:
	addl	$1, %eax
	xorl	%ecx, %ecx
	movl	%eax, (%rbx)
	cltq
	movl	%r12d, (%rbx,%rax,4)
	movl	(%rbx), %eax
	cmpl	$2, %eax
	je	.L120
.L18:
	addl	$1, %eax
	xorl	%r8d, %r8d
	movl	%eax, (%rbx)
	cltq
	movl	%ecx, (%rbx,%rax,4)
	movl	(%rbx), %eax
	cmpl	$2, %eax
	je	.L121
.L20:
	addl	$1, %eax
	movl	%r13d, %esi
	movq	%rbx, %rdi
	movl	%ecx, 12(%rsp)
	movl	%eax, (%rbx)
	cltq
	movl	%r8d, (%rbx,%rax,4)
	movl	%r8d, 8(%rsp)
	movl	%edx, 4(%rsp)
	call	dfs
	movl	8(%rsp), %r8d
	movl	(%rbx), %eax
	movl	4(%rsp), %edx
	movl	12(%rsp), %ecx
	addl	$1, %r8d
	subl	$1, %eax
	cmpl	%r8d, %r13d
	movl	%eax, (%rbx)
	jge	.L20
.L21:
	subl	$1, %eax
	addl	$1, %ecx
	movl	%eax, (%rbx)
	cmpl	%ecx, %r13d
	jge	.L18
.L19:
	subl	$1, %eax
	addl	$1, %r12d
	movl	%eax, (%rbx)
	cmpl	%r12d, %r13d
	jge	.L16
.L17:
	subl	$1, %eax
	addl	$1, %ebp
	movl	%eax, (%rbx)
	cmpl	%ebp, %r13d
	jge	.L14
.L122:
	movl	%edx, %ebp
.L15:
	subl	$1, %eax
	addl	$1, %r15d
	movl	%eax, (%rbx)
	cmpl	%r15d, %r13d
	jge	.L12
	movl	%ebp, %edx
	movl	28(%rsp), %ebp
.L13:
	subl	$1, %eax
	addl	$1, %ebp
	movl	%eax, (%rbx)
	cmpl	%ebp, %r13d
	jge	.L10
	movl	%edx, %ebp
.L11:
	addl	$1, 24(%rsp)
	movl	24(%rsp), %edi
	subl	$1, %eax
	movl	%eax, (%rbx)
	cmpl	%edi, %r13d
	jge	.L8
	movl	%ebp, %r15d
.L9:
	addl	$1, 20(%rsp)
	movl	20(%rsp), %edi
	subl	$1, %eax
	movl	%eax, (%rbx)
	cmpl	%edi, %r13d
	jge	.L6
	movl	%r13d, %r12d
	movl	%r14d, %r13d
	movl	%r15d, %r14d
.L7:
	addl	$1, 16(%rsp)
	movl	16(%rsp), %edi
	subl	$1, %eax
	movl	%eax, (%rbx)
	cmpl	%edi, %r12d
	jge	.L3
.L1:
	addq	$40, %rsp
	.cfi_remember_state
	.cfi_def_cfa_offset 56
	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
	.p2align 4,,10
	.p2align 3
.L121:
	.cfi_restore_state
	movl	8(%rbx), %esi
	addl	4(%rbx), %esi
	addl	12(%rbx), %esi
	cmpl	%esi, %r14d
	jg	.L21
	cmpl	%esi, %edx
	jl	.L21
	addl	$1, ans(%rip)
	movl	(%rbx), %eax
	addl	$1, %ecx
	subl	$1, %eax
	movl	%eax, (%rbx)
	cmpl	%ecx, %r13d
	jge	.L18
	jmp	.L19
	.p2align 4,,10
	.p2align 3
.L120:
	movl	8(%rbx), %ecx
	addl	4(%rbx), %ecx
	addl	12(%rbx), %ecx
	cmpl	%ecx, %r14d
	jg	.L19
	cmpl	%ecx, %edx
	jl	.L19
	addl	$1, ans(%rip)
	movl	(%rbx), %eax
	addl	$1, %r12d
	subl	$1, %eax
	movl	%eax, (%rbx)
	cmpl	%r12d, %r13d
	jge	.L16
	jmp	.L17
.L119:
	movl	8(%rbx), %ecx
	addl	4(%rbx), %ecx
	addl	12(%rbx), %ecx
	cmpl	%ecx, %r14d
	jg	.L17
	cmpl	%ecx, %edx
	jl	.L17
	addl	$1, ans(%rip)
	movl	(%rbx), %eax
	addl	$1, %ebp
	subl	$1, %eax
	movl	%eax, (%rbx)
	cmpl	%ebp, %r13d
	jge	.L14
	jmp	.L122
.L118:
	movl	8(%rbx), %ecx
	addl	4(%rbx), %ecx
	addl	12(%rbx), %ecx
	cmpl	%ecx, %r14d
	jg	.L15
	cmpl	%ecx, %ebp
	jl	.L15
	addl	$1, ans(%rip)
	movl	(%rbx), %eax
	jmp	.L15
.L117:
	movl	8(%rbx), %ecx
	addl	4(%rbx), %ecx
	addl	12(%rbx), %ecx
	cmpl	%ecx, %r14d
	jg	.L13
	cmpl	%ecx, %edx
	jl	.L13
	addl	$1, ans(%rip)
	movl	(%rbx), %eax
	jmp	.L13
.L116:
	movl	8(%rbx), %ecx
	addl	4(%rbx), %ecx
	addl	12(%rbx), %ecx
	cmpl	%ecx, %r14d
	jg	.L11
	cmpl	%ecx, %ebp
	jl	.L11
	addl	$1, ans(%rip)
	movl	(%rbx), %eax
	jmp	.L11
.L115:
	movl	8(%rbx), %ecx
	addl	4(%rbx), %ecx
	addl	12(%rbx), %ecx
	cmpl	%ecx, %r14d
	jg	.L9
	cmpl	%ecx, %r15d
	jl	.L9
	addl	$1, ans(%rip)
	movl	(%rbx), %eax
	jmp	.L9
.L114:
	movl	8(%rbx), %esi
	addl	4(%rbx), %esi
	addl	12(%rbx), %esi
	cmpl	%esi, %r13d
	jg	.L7
	cmpl	%esi, %r14d
	jl	.L7
	addl	$1, ans(%rip)
	movl	(%rbx), %eax
	jmp	.L7
.L2:
	movl	%edx, %ecx
	movl	4(%rdi), %eax
	addl	8(%rdi), %eax
	subl	%esi, %ecx
	addl	12(%rdi), %eax
	cmpl	%eax, %ecx
	jg	.L1
	cmpl	%eax, %edx
	jl	.L1
	addl	$1, ans(%rip)
	jmp	.L1
	.cfi_endproc
.LFE23:
	.size	dfs, .-dfs
	.section	.rodata.str1.1,"aMS",@progbits,1
.LC0:
	.string	"%d %d"
.LC1:
	.string	"%d\n"
	.section	.text.startup,"ax",@progbits
	.p2align 4
	.globl	main
	.type	main, @function
main:
.LFB24:
	.cfi_startproc
	endbr64
	subq	$56, %rsp
	.cfi_def_cfa_offset 64
	leaq	.LC0(%rip), %rdi
	movq	%fs:40, %rax
	movq	%rax, 40(%rsp)
	xorl	%eax, %eax
	leaq	12(%rsp), %rdx
	leaq	8(%rsp), %rsi
	call	__isoc99_scanf@PLT
	movl	12(%rsp), %edx
	movl	8(%rsp), %esi
	leaq	16(%rsp), %rdi
	pxor	%xmm0, %xmm0
	movaps	%xmm0, 16(%rsp)
	call	dfs
	movl	ans(%rip), %edx
	xorl	%eax, %eax
	leaq	.LC1(%rip), %rsi
	movl	$1, %edi
	call	__printf_chk@PLT
	movq	40(%rsp), %rax
	subq	%fs:40, %rax
	jne	.L126
	xorl	%eax, %eax
	addq	$56, %rsp
	.cfi_remember_state
	.cfi_def_cfa_offset 8
	ret
.L126:
	.cfi_restore_state
	call	__stack_chk_fail@PLT
	.cfi_endproc
.LFE24:
	.size	main, .-main
	.globl	ans
	.bss
	.align 4
	.type	ans, @object
	.size	ans, 4
ans:
	.zero	4
	.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	dfs
	.type	dfs, @function
dfs:
.LFB23:
	.cfi_startproc
	endbr64
	pushq	%r15
	.cfi_def_cfa_offset 16
	.cfi_offset 15, -16
	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
	movl	%esi, %r12d
	pushq	%rbp
	.cfi_def_cfa_offset 48
	.cfi_offset 6, -48
	pushq	%rbx
	.cfi_def_cfa_offset 56
	.cfi_offset 3, -56
	movq	%rdi, %rbx
	subq	$40, %rsp
	.cfi_def_cfa_offset 96
	movl	(%rdi), %eax
	cmpl	$2, %eax
	je	.L2
	movl	%edx, %r14d
	movl	$0, 16(%rsp)
	subl	%esi, %r14d
	testl	%esi, %esi
	js	.L1
	movl	%r14d, %edi
	movl	%edx, %r14d
	movl	%edi, %r13d
.L3:
	addl	$1, %eax
	movl	16(%rsp), %edi
	movl	$0, 20(%rsp)
	movl	%eax, (%rbx)
	cltq
	movl	%edi, (%rbx,%rax,4)
	movl	(%rbx), %eax
	cmpl	$2, %eax
	je	.L114
	movl	%r14d, %r15d
	movl	%r13d, %r14d
	movl	%r12d, %r13d
.L6:
	addl	$1, %eax
	movl	20(%rsp), %edi
	movl	$0, 24(%rsp)
	movl	%r15d, %ebp
	movl	%eax, (%rbx)
	cltq
	movl	%edi, (%rbx,%rax,4)
	movl	(%rbx), %eax
	cmpl	$2, %eax
	je	.L115
.L8:
	addl	$1, %eax
	movl	24(%rsp), %edi
	xorl	%ecx, %ecx
	movl	%eax, (%rbx)
	cltq
	movl	%edi, (%rbx,%rax,4)
	movl	(%rbx), %eax
	cmpl	$2, %eax
	je	.L116
	movl	%ebp, %edx
	movl	%ecx, %ebp
.L10:
	addl	$1, %eax
	xorl	%r15d, %r15d
	movl	%eax, (%rbx)
	cltq
	movl	%ebp, (%rbx,%rax,4)
	movl	(%rbx), %eax
	cmpl	$2, %eax
	je	.L117
	movl	%ebp, 28(%rsp)
	movl	%edx, %ebp
.L12:
	addl	$1, %eax
	xorl	%ecx, %ecx
	movl	%eax, (%rbx)
	cltq
	movl	%r15d, (%rbx,%rax,4)
	movl	(%rbx), %eax
	cmpl	$2, %eax
	je	.L118
	movl	%ebp, %edx
	movl	%ecx, %ebp
.L14:
	addl	$1, %eax
	xorl	%r12d, %r12d
	movl	%eax, (%rbx)
	cltq
	movl	%ebp, (%rbx,%rax,4)
	movl	(%rbx), %eax
	cmpl	$2, %eax
	je	.L119
.L16:
	addl	$1, %eax
	xorl	%ecx, %ecx
	movl	%eax, (%rbx)
	cltq
	movl	%r12d, (%rbx,%rax,4)
	movl	(%rbx), %eax
	cmpl	$2, %eax
	je	.L120
.L18:
	addl	$1, %eax
	xorl	%r8d, %r8d
	movl	%eax, (%rbx)
	cltq
	movl	%ecx, (%rbx,%rax,4)
	movl	(%rbx), %eax
	cmpl	$2, %eax
	je	.L121
.L20:
	addl	$1, %eax
	movl	%r13d, %esi
	movq	%rbx, %rdi
	movl	%ecx, 12(%rsp)
	movl	%eax, (%rbx)
	cltq
	movl	%r8d, (%rbx,%rax,4)
	movl	%r8d, 8(%rsp)
	movl	%edx, 4(%rsp)
	call	dfs
	movl	8(%rsp), %r8d
	movl	(%rbx), %eax
	movl	4(%rsp), %edx
	movl	12(%rsp), %ecx
	addl	$1, %r8d
	subl	$1, %eax
	cmpl	%r8d, %r13d
	movl	%eax, (%rbx)
	jge	.L20
.L21:
	subl	$1, %eax
	addl	$1, %ecx
	movl	%eax, (%rbx)
	cmpl	%ecx, %r13d
	jge	.L18
.L19:
	subl	$1, %eax
	addl	$1, %r12d
	movl	%eax, (%rbx)
	cmpl	%r12d, %r13d
	jge	.L16
.L17:
	subl	$1, %eax
	addl	$1, %ebp
	movl	%eax, (%rbx)
	cmpl	%ebp, %r13d
	jge	.L14
.L122:
	movl	%edx, %ebp
.L15:
	subl	$1, %eax
	addl	$1, %r15d
	movl	%eax, (%rbx)
	cmpl	%r15d, %r13d
	jge	.L12
	movl	%ebp, %edx
	movl	28(%rsp), %ebp
.L13:
	subl	$1, %eax
	addl	$1, %ebp
	movl	%eax, (%rbx)
	cmpl	%ebp, %r13d
	jge	.L10
	movl	%edx, %ebp
.L11:
	addl	$1, 24(%rsp)
	movl	24(%rsp), %edi
	subl	$1, %eax
	movl	%eax, (%rbx)
	cmpl	%edi, %r13d
	jge	.L8
	movl	%ebp, %r15d
.L9:
	addl	$1, 20(%rsp)
	movl	20(%rsp), %edi
	subl	$1, %eax
	movl	%eax, (%rbx)
	cmpl	%edi, %r13d
	jge	.L6
	movl	%r13d, %r12d
	movl	%r14d, %r13d
	movl	%r15d, %r14d
.L7:
	addl	$1, 16(%rsp)
	movl	16(%rsp), %edi
	subl	$1, %eax
	movl	%eax, (%rbx)
	cmpl	%edi, %r12d
	jge	.L3
.L1:
	addq	$40, %rsp
	.cfi_remember_state
	.cfi_def_cfa_offset 56
	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
	.p2align 4,,10
	.p2align 3
.L121:
	.cfi_restore_state
	movl	8(%rbx), %esi
	addl	4(%rbx), %esi
	addl	12(%rbx), %esi
	cmpl	%esi, %r14d
	jg	.L21
	cmpl	%esi, %edx
	jl	.L21
	addl	$1, ans(%rip)
	movl	(%rbx), %eax
	addl	$1, %ecx
	subl	$1, %eax
	movl	%eax, (%rbx)
	cmpl	%ecx, %r13d
	jge	.L18
	jmp	.L19
	.p2align 4,,10
	.p2align 3
.L120:
	movl	8(%rbx), %ecx
	addl	4(%rbx), %ecx
	addl	12(%rbx), %ecx
	cmpl	%ecx, %r14d
	jg	.L19
	cmpl	%ecx, %edx
	jl	.L19
	addl	$1, ans(%rip)
	movl	(%rbx), %eax
	addl	$1, %r12d
	subl	$1, %eax
	movl	%eax, (%rbx)
	cmpl	%r12d, %r13d
	jge	.L16
	jmp	.L17
.L119:
	movl	8(%rbx), %ecx
	addl	4(%rbx), %ecx
	addl	12(%rbx), %ecx
	cmpl	%ecx, %r14d
	jg	.L17
	cmpl	%ecx, %edx
	jl	.L17
	addl	$1, ans(%rip)
	movl	(%rbx), %eax
	addl	$1, %ebp
	subl	$1, %eax
	movl	%eax, (%rbx)
	cmpl	%ebp, %r13d
	jge	.L14
	jmp	.L122
.L118:
	movl	8(%rbx), %ecx
	addl	4(%rbx), %ecx
	addl	12(%rbx), %ecx
	cmpl	%ecx, %r14d
	jg	.L15
	cmpl	%ecx, %ebp
	jl	.L15
	addl	$1, ans(%rip)
	movl	(%rbx), %eax
	jmp	.L15
.L117:
	movl	8(%rbx), %ecx
	addl	4(%rbx), %ecx
	addl	12(%rbx), %ecx
	cmpl	%ecx, %r14d
	jg	.L13
	cmpl	%ecx, %edx
	jl	.L13
	addl	$1, ans(%rip)
	movl	(%rbx), %eax
	jmp	.L13
.L116:
	movl	8(%rbx), %ecx
	addl	4(%rbx), %ecx
	addl	12(%rbx), %ecx
	cmpl	%ecx, %r14d
	jg	.L11
	cmpl	%ecx, %ebp
	jl	.L11
	addl	$1, ans(%rip)
	movl	(%rbx), %eax
	jmp	.L11
.L115:
	movl	8(%rbx), %ecx
	addl	4(%rbx), %ecx
	addl	12(%rbx), %ecx
	cmpl	%ecx, %r14d
	jg	.L9
	cmpl	%ecx, %r15d
	jl	.L9
	addl	$1, ans(%rip)
	movl	(%rbx), %eax
	jmp	.L9
.L114:
	movl	8(%rbx), %esi
	addl	4(%rbx), %esi
	addl	12(%rbx), %esi
	cmpl	%esi, %r13d
	jg	.L7
	cmpl	%esi, %r14d
	jl	.L7
	addl	$1, ans(%rip)
	movl	(%rbx), %eax
	jmp	.L7
.L2:
	movl	%edx, %ecx
	movl	4(%rdi), %eax
	addl	8(%rdi), %eax
	subl	%esi, %ecx
	addl	12(%rdi), %eax
	cmpl	%eax, %ecx
	jg	.L1
	cmpl	%eax, %edx
	jl	.L1
	addl	$1, ans(%rip)
	jmp	.L1
	.cfi_endproc
.LFE23:
	.size	dfs, .-dfs
	.section	.rodata.str1.1,"aMS",@progbits,1
.LC0:
	.string	"%d %d"
.LC1:
	.string	"%d\n"
	.section	.text.startup,"ax",@progbits
	.p2align 4
	.globl	main
	.type	main, @function
main:
.LFB24:
	.cfi_startproc
	endbr64
	subq	$56, %rsp
	.cfi_def_cfa_offset 64
	leaq	.LC0(%rip), %rdi
	movq	%fs:40, %rax
	movq	%rax, 40(%rsp)
	xorl	%eax, %eax
	leaq	12(%rsp), %rdx
	leaq	8(%rsp), %rsi
	call	__isoc99_scanf@PLT
	movl	12(%rsp), %edx
	movl	8(%rsp), %esi
	leaq	16(%rsp), %rdi
	pxor	%xmm0, %xmm0
	movaps	%xmm0, 16(%rsp)
	call	dfs
	movl	ans(%rip), %edx
	xorl	%eax, %eax
	leaq	.LC1(%rip), %rsi
	movl	$1, %edi
	call	__printf_chk@PLT
	movq	40(%rsp), %rax
	subq	%fs:40, %rax
	jne	.L126
	xorl	%eax, %eax
	addq	$56, %rsp
	.cfi_remember_state
	.cfi_def_cfa_offset 8
	ret
.L126:
	.cfi_restore_state
	call	__stack_chk_fail@PLT
	.cfi_endproc
.LFE24:
	.size	main, .-main
	.globl	ans
	.bss
	.align 4
	.type	ans, @object
	.size	ans, 4
ans:
	.zero	4
	.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 ans = 0;

void dfs(int array[], int k, int s){
  if(array[0] == 2){
    int sum = 0;
    for(int i=1; i<=3; i++)
      sum += array[i];
    if(s-k <= sum  &&  sum <= s)
      ans++;
    return;
  }

  for(int i=0; i<=k; i++){
    array[++array[0]] = i;
    dfs(array, k, s);
    array[0]--;
  }
}
int main(){
  int k, s;  scanf("%d %d", &k, &s);
  int array[4] = {0};
  dfs(array, k, s);

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

  return 0;
}

3 2
 5 7
 3 3
 4 7
 3 4
 1 7
 2 5
 4 0
 6 7
 17 4

6
 27
 10
 18
 12
 0
 3
 1
 33
 15

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 ans = 0;

void dfs(int array[], int k, int s){
  if(array[0] == 2){
    int sum = 0;
    for(int i=1; i<=3; i++)
      sum += array[i];
    if(s-k <= sum  &&  sum <= s)
      ans++;
    return;
  }

  for(int i=0; i<=k; i++){
    array[++array[0]] = i;
    dfs(array, k, s);
    array[0]--;
  }
}
int main(){
  int k, s;  scanf("%d %d", &k, &s);
  int array[4] = {0};
  dfs(array, k, s);

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

  return 0;
}
```

Unoptimized Assembly Code:

```assembly
	.file	"temp.c"
	.text
	.globl	ans
	.bss
	.align 4
	.type	ans, @object
	.size	ans, 4
ans:
	.zero	4
	.text
	.globl	dfs
	.type	dfs, @function
dfs:
.LFB0:
	.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	%rdi, -24(%rbp)
	movl	%esi, -28(%rbp)
	movl	%edx, -32(%rbp)
	movq	-24(%rbp), %rax
	movl	(%rax), %eax
	cmpl	$2, %eax
	jne	.L2
	movl	$0, -12(%rbp)
	movl	$1, -8(%rbp)
	jmp	.L3
.L4:
	movl	-8(%rbp), %eax
	cltq
	leaq	0(,%rax,4), %rdx
	movq	-24(%rbp), %rax
	addq	%rdx, %rax
	movl	(%rax), %eax
	addl	%eax, -12(%rbp)
	addl	$1, -8(%rbp)
.L3:
	cmpl	$3, -8(%rbp)
	jle	.L4
	movl	-32(%rbp), %eax
	subl	-28(%rbp), %eax
	cmpl	%eax, -12(%rbp)
	jl	.L9
	movl	-12(%rbp), %eax
	cmpl	-32(%rbp), %eax
	jg	.L9
	movl	ans(%rip), %eax
	addl	$1, %eax
	movl	%eax, ans(%rip)
	jmp	.L9
.L2:
	movl	$0, -4(%rbp)
	jmp	.L7
.L8:
	movq	-24(%rbp), %rax
	movl	(%rax), %eax
	leal	1(%rax), %edx
	movq	-24(%rbp), %rax
	movl	%edx, (%rax)
	movq	-24(%rbp), %rax
	movl	(%rax), %eax
	cltq
	leaq	0(,%rax,4), %rdx
	movq	-24(%rbp), %rax
	addq	%rax, %rdx
	movl	-4(%rbp), %eax
	movl	%eax, (%rdx)
	movl	-32(%rbp), %edx
	movl	-28(%rbp), %ecx
	movq	-24(%rbp), %rax
	movl	%ecx, %esi
	movq	%rax, %rdi
	call	dfs
	movq	-24(%rbp), %rax
	movl	(%rax), %eax
	leal	-1(%rax), %edx
	movq	-24(%rbp), %rax
	movl	%edx, (%rax)
	addl	$1, -4(%rbp)
.L7:
	movl	-4(%rbp), %eax
	cmpl	-28(%rbp), %eax
	jle	.L8
	jmp	.L1
.L9:
	nop
.L1:
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE0:
	.size	dfs, .-dfs
	.section	.rodata
.LC0:
	.string	"%d %d"
.LC1:
	.string	"%d\n"
	.text
	.globl	main
	.type	main, @function
main:
.LFB1:
	.cfi_startproc
	endbr64
	pushq	%rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	movq	%rsp, %rbp
	.cfi_def_cfa_register 6
	subq	$48, %rsp
	movq	%fs:40, %rax
	movq	%rax, -8(%rbp)
	xorl	%eax, %eax
	leaq	-36(%rbp), %rdx
	leaq	-40(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movq	$0, -32(%rbp)
	movq	$0, -24(%rbp)
	movl	-36(%rbp), %edx
	movl	-40(%rbp), %ecx
	leaq	-32(%rbp), %rax
	movl	%ecx, %esi
	movq	%rax, %rdi
	call	dfs
	movl	ans(%rip), %eax
	movl	%eax, %esi
	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	.L12
	call	__stack_chk_fail@PLT
.L12:
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE1:
	.size	main, .-main
	.ident	"GCC: (Ubuntu 11.4.0-1ubuntu1~22.04) 11.4.0"
	.section	.note.GNU-stack,"",@progbits
	.section	.note.gnu.property,"a"
	.align 8
	.long	1f - 0f
	.long	4f - 1f
	.long	5
0:
	.string	"GNU"
1:
	.align 8
	.long	0xc0000002
	.long	3f - 2f
2:
	.long	0x3
3:
	.align 8
4:
```

Only output the optimized assembly code. Do not include any other text. Do not write any comments in the assembly code. Wrap the assembly code in ```assembly``` tags.
train
	.file	"temp.c"
	.text
	.globl	ans
	.bss
	.align 4
	.type	ans, @object
	.size	ans, 4
ans:
	.zero	4
	.text
	.globl	dfs
	.type	dfs, @function
dfs:
.LFB0:
	.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	%rdi, -24(%rbp)
	movl	%esi, -28(%rbp)
	movl	%edx, -32(%rbp)
	movq	-24(%rbp), %rax
	movl	(%rax), %eax
	cmpl	$2, %eax
	jne	.L2
	movl	$0, -12(%rbp)
	movl	$1, -8(%rbp)
	jmp	.L3
.L4:
	movl	-8(%rbp), %eax
	cltq
	leaq	0(,%rax,4), %rdx
	movq	-24(%rbp), %rax
	addq	%rdx, %rax
	movl	(%rax), %eax
	addl	%eax, -12(%rbp)
	addl	$1, -8(%rbp)
.L3:
	cmpl	$3, -8(%rbp)
	jle	.L4
	movl	-32(%rbp), %eax
	subl	-28(%rbp), %eax
	cmpl	%eax, -12(%rbp)
	jl	.L9
	movl	-12(%rbp), %eax
	cmpl	-32(%rbp), %eax
	jg	.L9
	movl	ans(%rip), %eax
	addl	$1, %eax
	movl	%eax, ans(%rip)
	jmp	.L9
.L2:
	movl	$0, -4(%rbp)
	jmp	.L7
.L8:
	movq	-24(%rbp), %rax
	movl	(%rax), %eax
	leal	1(%rax), %edx
	movq	-24(%rbp), %rax
	movl	%edx, (%rax)
	movq	-24(%rbp), %rax
	movl	(%rax), %eax
	cltq
	leaq	0(,%rax,4), %rdx
	movq	-24(%rbp), %rax
	addq	%rax, %rdx
	movl	-4(%rbp), %eax
	movl	%eax, (%rdx)
	movl	-32(%rbp), %edx
	movl	-28(%rbp), %ecx
	movq	-24(%rbp), %rax
	movl	%ecx, %esi
	movq	%rax, %rdi
	call	dfs
	movq	-24(%rbp), %rax
	movl	(%rax), %eax
	leal	-1(%rax), %edx
	movq	-24(%rbp), %rax
	movl	%edx, (%rax)
	addl	$1, -4(%rbp)
.L7:
	movl	-4(%rbp), %eax
	cmpl	-28(%rbp), %eax
	jle	.L8
	jmp	.L1
.L9:
	nop
.L1:
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE0:
	.size	dfs, .-dfs
	.section	.rodata
.LC0:
	.string	"%d %d"
.LC1:
	.string	"%d\n"
	.text
	.globl	main
	.type	main, @function
main:
.LFB1:
	.cfi_startproc
	endbr64
	pushq	%rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	movq	%rsp, %rbp
	.cfi_def_cfa_register 6
	subq	$48, %rsp
	movq	%fs:40, %rax
	movq	%rax, -8(%rbp)
	xorl	%eax, %eax
	leaq	-36(%rbp), %rdx
	leaq	-40(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movq	$0, -32(%rbp)
	movq	$0, -24(%rbp)
	movl	-36(%rbp), %edx
	movl	-40(%rbp), %ecx
	leaq	-32(%rbp), %rax
	movl	%ecx, %esi
	movq	%rax, %rdi
	call	dfs
	movl	ans(%rip), %eax
	movl	%eax, %esi
	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	.L12
	call	__stack_chk_fail@PLT
.L12:
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE1:
	.size	main, .-main
	.ident	"GCC: (Ubuntu 11.4.0-1ubuntu1~22.04) 11.4.0"
	.section	.note.GNU-stack,"",@progbits
	.section	.note.gnu.property,"a"
	.align 8
	.long	1f - 0f
	.long	4f - 1f
	.long	5
0:
	.string	"GNU"
1:
	.align 8
	.long	0xc0000002
	.long	3f - 2f
2:
	.long	0x3
3:
	.align 8
4:
