Given the following C code and unoptimized assembly code, your task is to generate highly optimized x86-64 assembly code.
C Code:

```c
#include <stdio.h>

int main(){
	int i,N,K,ans=1,cnt=0,len=0;
	char S[100001];
	scanf("%d",&N);
	scanf("%d",&K);
	scanf("%s",S);
 
	for(i=0;i<N;++i){
		if(S[i]=='0'){
			if(i==0 || S[i-1]=='1'){
				cnt++;
			}
		}
		if(cnt>K){
			while(S[len]=='1'){
				len++;
			}
			while(S[len]=='0'){
				len++;
			}
			cnt--;
		}
		if(ans<i-len+1)ans=i-len+1;
	}


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

Unoptimized Assembly Code:

```assembly
	.file	"temp.c"
	.text
	.section	.rodata
.LC0:
	.string	"%d"
.LC1:
	.string	"%s"
.LC2:
	.string	"%d\n"
	.text
	.globl	main
	.type	main, @function
main:
.LFB0:
	.cfi_startproc
	endbr64
	pushq	%rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	movq	%rsp, %rbp
	.cfi_def_cfa_register 6
	leaq	-98304(%rsp), %r11
.LPSRL0:
	subq	$4096, %rsp
	orq	$0, (%rsp)
	cmpq	%r11, %rsp
	jne	.LPSRL0
	subq	$1744, %rsp
	movq	%fs:40, %rax
	movq	%rax, -8(%rbp)
	xorl	%eax, %eax
	movl	$1, -100028(%rbp)
	movl	$0, -100024(%rbp)
	movl	$0, -100020(%rbp)
	leaq	-100040(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	leaq	-100036(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	leaq	-100016(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC1(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movl	$0, -100032(%rbp)
	jmp	.L2
.L11:
	movl	-100032(%rbp), %eax
	cltq
	movzbl	-100016(%rbp,%rax), %eax
	cmpb	$48, %al
	jne	.L3
	cmpl	$0, -100032(%rbp)
	je	.L4
	movl	-100032(%rbp), %eax
	subl	$1, %eax
	cltq
	movzbl	-100016(%rbp,%rax), %eax
	cmpb	$49, %al
	jne	.L3
.L4:
	addl	$1, -100024(%rbp)
.L3:
	movl	-100036(%rbp), %eax
	cmpl	%eax, -100024(%rbp)
	jle	.L5
	jmp	.L6
.L7:
	addl	$1, -100020(%rbp)
.L6:
	movl	-100020(%rbp), %eax
	cltq
	movzbl	-100016(%rbp,%rax), %eax
	cmpb	$49, %al
	je	.L7
	jmp	.L8
.L9:
	addl	$1, -100020(%rbp)
.L8:
	movl	-100020(%rbp), %eax
	cltq
	movzbl	-100016(%rbp,%rax), %eax
	cmpb	$48, %al
	je	.L9
	subl	$1, -100024(%rbp)
.L5:
	movl	-100032(%rbp), %eax
	subl	-100020(%rbp), %eax
	cmpl	%eax, -100028(%rbp)
	jg	.L10
	movl	-100032(%rbp), %eax
	subl	-100020(%rbp), %eax
	addl	$1, %eax
	movl	%eax, -100028(%rbp)
.L10:
	addl	$1, -100032(%rbp)
.L2:
	movl	-100040(%rbp), %eax
	cmpl	%eax, -100032(%rbp)
	jl	.L11
	movl	-100028(%rbp), %eax
	movl	%eax, %esi
	leaq	.LC2(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	printf@PLT
	movl	$0, %eax
	movq	-8(%rbp), %rdx
	subq	%fs:40, %rdx
	je	.L13
	call	__stack_chk_fail@PLT
.L13:
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE0:
	.size	main, .-main
	.ident	"GCC: (Ubuntu 11.4.0-1ubuntu1~22.04) 11.4.0"
	.section	.note.GNU-stack,"",@progbits
	.section	.note.gnu.property,"a"
	.align 8
	.long	1f - 0f
	.long	4f - 1f
	.long	5
0:
	.string	"GNU"
1:
	.align 8
	.long	0xc0000002
	.long	3f - 2f
2:
	.long	0x3
3:
	.align 8
4:
```

Only output the optimized assembly code. Do not include any other text. Do not write any comments in the assembly code. Wrap the assembly code in ```assembly``` tags.
user
	.file	"temp.c"
	.text
	.section	.rodata.str1.1,"aMS",@progbits,1
.LC0:
	.string	"%d"
.LC1:
	.string	"%s"
.LC2:
	.string	"%d\n"
	.section	.text.startup,"ax",@progbits
	.p2align 4
	.globl	main
	.type	main, @function
main:
.LFB23:
	.cfi_startproc
	endbr64
	pushq	%rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	pushq	%rbx
	.cfi_def_cfa_offset 24
	.cfi_offset 3, -24
	leaq	-98304(%rsp), %r11
	.cfi_def_cfa 11, 98328
.LPSRL0:
	subq	$4096, %rsp
	orq	$0, (%rsp)
	cmpq	%r11, %rsp
	jne	.LPSRL0
	.cfi_def_cfa_register 7
	subq	$1736, %rsp
	.cfi_def_cfa_offset 100064
	leaq	.LC0(%rip), %rbp
	movq	%rbp, %rdi
	movq	%fs:40, %rax
	movq	%rax, 100024(%rsp)
	xorl	%eax, %eax
	leaq	8(%rsp), %rsi
	call	__isoc99_scanf@PLT
	leaq	12(%rsp), %rsi
	movq	%rbp, %rdi
	xorl	%eax, %eax
	call	__isoc99_scanf@PLT
	leaq	16(%rsp), %rsi
	leaq	.LC1(%rip), %rdi
	xorl	%eax, %eax
	call	__isoc99_scanf@PLT
	movl	8(%rsp), %r11d
	testl	%r11d, %r11d
	jle	.L13
	leaq	15(%rsp), %rsi
	movl	12(%rsp), %ebx
	xorl	%edx, %edx
	xorl	%r10d, %r10d
	movq	%rsi, %r8
	movl	$1, %r9d
	xorl	%edi, %edi
	jmp	.L11
	.p2align 4,,10
	.p2align 3
.L3:
	cmpl	%r10d, %ebx
	jl	.L23
.L5:
	movl	%edi, %eax
	subl	%edx, %eax
	cmpl	%r9d, %eax
	leal	1(%rax), %ecx
	cmovge	%ecx, %r9d
	addl	$1, %edi
	addq	$1, %r8
	cmpl	%r11d, %edi
	je	.L2
.L11:
	cmpb	$48, 1(%r8)
	jne	.L3
	testl	%edi, %edi
	je	.L4
	cmpb	$49, (%r8)
	jne	.L3
.L4:
	addl	$1, %r10d
	cmpl	%r10d, %ebx
	jge	.L5
.L23:
	movslq	%edx, %rax
	movzbl	16(%rsp,%rax), %ecx
	cmpb	$49, %cl
	jne	.L6
	addl	$1, %edx
	movslq	%edx, %rax
	.p2align 4,,10
	.p2align 3
.L7:
	movl	%eax, %edx
	addq	$1, %rax
	movzbl	(%rsi,%rax), %ecx
	cmpb	$49, %cl
	je	.L7
.L6:
	cmpb	$48, %cl
	jne	.L8
	addl	$1, %edx
	movslq	%edx, %rax
	.p2align 4,,10
	.p2align 3
.L9:
	movl	%eax, %edx
	addq	$1, %rax
	cmpb	$48, (%rsi,%rax)
	je	.L9
.L8:
	subl	$1, %r10d
	jmp	.L5
.L13:
	movl	$1, %r9d
	.p2align 4,,10
	.p2align 3
.L2:
	xorl	%eax, %eax
	movl	%r9d, %edx
	movl	$1, %edi
	leaq	.LC2(%rip), %rsi
	call	__printf_chk@PLT
	movq	100024(%rsp), %rax
	subq	%fs:40, %rax
	jne	.L24
	addq	$100040, %rsp
	.cfi_remember_state
	.cfi_def_cfa_offset 24
	xorl	%eax, %eax
	popq	%rbx
	.cfi_def_cfa_offset 16
	popq	%rbp
	.cfi_def_cfa_offset 8
	ret
.L24:
	.cfi_restore_state
	call	__stack_chk_fail@PLT
	.cfi_endproc
.LFE23:
	.size	main, .-main
	.ident	"GCC: (Ubuntu 11.4.0-1ubuntu1~22.04) 11.4.0"
	.section	.note.GNU-stack,"",@progbits
	.section	.note.gnu.property,"a"
	.align 8
	.long	1f - 0f
	.long	4f - 1f
	.long	5
0:
	.string	"GNU"
1:
	.align 8
	.long	0xc0000002
	.long	3f - 2f
2:
	.long	0x3
3:
	.align 8
4:

rule
	.file	"temp.c"
	.text
	.section	.rodata.str1.1,"aMS",@progbits,1
.LC0:
	.string	"%d"
.LC1:
	.string	"%s"
.LC2:
	.string	"%d\n"
	.section	.text.startup,"ax",@progbits
	.p2align 4
	.globl	main
	.type	main, @function
main:
.LFB23:
	.cfi_startproc
	endbr64
	pushq	%rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	pushq	%rbx
	.cfi_def_cfa_offset 24
	.cfi_offset 3, -24
	leaq	-98304(%rsp), %r11
	.cfi_def_cfa 11, 98328
.LPSRL0:
	subq	$4096, %rsp
	orq	$0, (%rsp)
	cmpq	%r11, %rsp
	jne	.LPSRL0
	.cfi_def_cfa_register 7
	subq	$1736, %rsp
	.cfi_def_cfa_offset 100064
	leaq	.LC0(%rip), %rbp
	movq	%rbp, %rdi
	movq	%fs:40, %rax
	movq	%rax, 100024(%rsp)
	xorl	%eax, %eax
	leaq	8(%rsp), %rsi
	call	__isoc99_scanf@PLT
	leaq	12(%rsp), %rsi
	movq	%rbp, %rdi
	xorl	%eax, %eax
	call	__isoc99_scanf@PLT
	leaq	16(%rsp), %rsi
	leaq	.LC1(%rip), %rdi
	xorl	%eax, %eax
	call	__isoc99_scanf@PLT
	movl	8(%rsp), %r11d
	testl	%r11d, %r11d
	jle	.L13
	leaq	15(%rsp), %rsi
	movl	12(%rsp), %ebx
	xorl	%edx, %edx
	xorl	%r10d, %r10d
	movq	%rsi, %r8
	movl	$1, %r9d
	xorl	%edi, %edi
	jmp	.L11
	.p2align 4,,10
	.p2align 3
.L3:
	cmpl	%r10d, %ebx
	jl	.L23
.L5:
	movl	%edi, %eax
	subl	%edx, %eax
	cmpl	%r9d, %eax
	leal	1(%rax), %ecx
	cmovge	%ecx, %r9d
	addl	$1, %edi
	addq	$1, %r8
	cmpl	%r11d, %edi
	je	.L2
.L11:
	cmpb	$48, 1(%r8)
	jne	.L3
	testl	%edi, %edi
	je	.L4
	cmpb	$49, (%r8)
	jne	.L3
.L4:
	addl	$1, %r10d
	cmpl	%r10d, %ebx
	jge	.L5
.L23:
	movslq	%edx, %rax
	movzbl	16(%rsp,%rax), %ecx
	cmpb	$49, %cl
	jne	.L6
	addl	$1, %edx
	movslq	%edx, %rax
	.p2align 4,,10
	.p2align 3
.L7:
	movl	%eax, %edx
	addq	$1, %rax
	movzbl	(%rsi,%rax), %ecx
	cmpb	$49, %cl
	je	.L7
.L6:
	cmpb	$48, %cl
	jne	.L8
	addl	$1, %edx
	movslq	%edx, %rax
	.p2align 4,,10
	.p2align 3
.L9:
	movl	%eax, %edx
	addq	$1, %rax
	cmpb	$48, (%rsi,%rax)
	je	.L9
.L8:
	subl	$1, %r10d
	jmp	.L5
.L13:
	movl	$1, %r9d
	.p2align 4,,10
	.p2align 3
.L2:
	xorl	%eax, %eax
	movl	%r9d, %edx
	movl	$1, %edi
	leaq	.LC2(%rip), %rsi
	call	__printf_chk@PLT
	movq	100024(%rsp), %rax
	subq	%fs:40, %rax
	jne	.L24
	addq	$100040, %rsp
	.cfi_remember_state
	.cfi_def_cfa_offset 24
	xorl	%eax, %eax
	popq	%rbx
	.cfi_def_cfa_offset 16
	popq	%rbp
	.cfi_def_cfa_offset 8
	ret
.L24:
	.cfi_restore_state
	call	__stack_chk_fail@PLT
	.cfi_endproc
.LFE23:
	.size	main, .-main
	.ident	"GCC: (Ubuntu 11.4.0-1ubuntu1~22.04) 11.4.0"
	.section	.note.GNU-stack,"",@progbits
	.section	.note.gnu.property,"a"
	.align 8
	.long	1f - 0f
	.long	4f - 1f
	.long	5
0:
	.string	"GNU"
1:
	.align 8
	.long	0xc0000002
	.long	3f - 2f
2:
	.long	0x3
3:
	.align 8
4:

#include <stdio.h>

int main(){
	int i,N,K,ans=1,cnt=0,len=0;
	char S[100001];
	scanf("%d",&N);
	scanf("%d",&K);
	scanf("%s",S);
 
	for(i=0;i<N;++i){
		if(S[i]=='0'){
			if(i==0 || S[i-1]=='1'){
				cnt++;
			}
		}
		if(cnt>K){
			while(S[len]=='1'){
				len++;
			}
			while(S[len]=='0'){
				len++;
			}
			cnt--;
		}
		if(ans<i-len+1)ans=i-len+1;
	}


	printf("%d\n",ans);
}
5 1
00000
 5 1
11010
 14 2
11101010110111
 5 0
11000
 5 1
01010
 1 1
0
 14 2
11101010110101
 14 2
11101000110111
 14 2
11101000111111
 14 1
11101010110111

5
 4
 8
 2
 3
 1
 7
 10
 14
 6

Given the following C code and unoptimized assembly code, your task is to generate highly optimized x86-64 assembly code.
C Code:

```c
#include <stdio.h>

int main(){
	int i,N,K,ans=1,cnt=0,len=0;
	char S[100001];
	scanf("%d",&N);
	scanf("%d",&K);
	scanf("%s",S);
 
	for(i=0;i<N;++i){
		if(S[i]=='0'){
			if(i==0 || S[i-1]=='1'){
				cnt++;
			}
		}
		if(cnt>K){
			while(S[len]=='1'){
				len++;
			}
			while(S[len]=='0'){
				len++;
			}
			cnt--;
		}
		if(ans<i-len+1)ans=i-len+1;
	}


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

Unoptimized Assembly Code:

```assembly
	.file	"temp.c"
	.text
	.section	.rodata
.LC0:
	.string	"%d"
.LC1:
	.string	"%s"
.LC2:
	.string	"%d\n"
	.text
	.globl	main
	.type	main, @function
main:
.LFB0:
	.cfi_startproc
	endbr64
	pushq	%rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	movq	%rsp, %rbp
	.cfi_def_cfa_register 6
	leaq	-98304(%rsp), %r11
.LPSRL0:
	subq	$4096, %rsp
	orq	$0, (%rsp)
	cmpq	%r11, %rsp
	jne	.LPSRL0
	subq	$1744, %rsp
	movq	%fs:40, %rax
	movq	%rax, -8(%rbp)
	xorl	%eax, %eax
	movl	$1, -100028(%rbp)
	movl	$0, -100024(%rbp)
	movl	$0, -100020(%rbp)
	leaq	-100040(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	leaq	-100036(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	leaq	-100016(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC1(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movl	$0, -100032(%rbp)
	jmp	.L2
.L11:
	movl	-100032(%rbp), %eax
	cltq
	movzbl	-100016(%rbp,%rax), %eax
	cmpb	$48, %al
	jne	.L3
	cmpl	$0, -100032(%rbp)
	je	.L4
	movl	-100032(%rbp), %eax
	subl	$1, %eax
	cltq
	movzbl	-100016(%rbp,%rax), %eax
	cmpb	$49, %al
	jne	.L3
.L4:
	addl	$1, -100024(%rbp)
.L3:
	movl	-100036(%rbp), %eax
	cmpl	%eax, -100024(%rbp)
	jle	.L5
	jmp	.L6
.L7:
	addl	$1, -100020(%rbp)
.L6:
	movl	-100020(%rbp), %eax
	cltq
	movzbl	-100016(%rbp,%rax), %eax
	cmpb	$49, %al
	je	.L7
	jmp	.L8
.L9:
	addl	$1, -100020(%rbp)
.L8:
	movl	-100020(%rbp), %eax
	cltq
	movzbl	-100016(%rbp,%rax), %eax
	cmpb	$48, %al
	je	.L9
	subl	$1, -100024(%rbp)
.L5:
	movl	-100032(%rbp), %eax
	subl	-100020(%rbp), %eax
	cmpl	%eax, -100028(%rbp)
	jg	.L10
	movl	-100032(%rbp), %eax
	subl	-100020(%rbp), %eax
	addl	$1, %eax
	movl	%eax, -100028(%rbp)
.L10:
	addl	$1, -100032(%rbp)
.L2:
	movl	-100040(%rbp), %eax
	cmpl	%eax, -100032(%rbp)
	jl	.L11
	movl	-100028(%rbp), %eax
	movl	%eax, %esi
	leaq	.LC2(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	printf@PLT
	movl	$0, %eax
	movq	-8(%rbp), %rdx
	subq	%fs:40, %rdx
	je	.L13
	call	__stack_chk_fail@PLT
.L13:
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE0:
	.size	main, .-main
	.ident	"GCC: (Ubuntu 11.4.0-1ubuntu1~22.04) 11.4.0"
	.section	.note.GNU-stack,"",@progbits
	.section	.note.gnu.property,"a"
	.align 8
	.long	1f - 0f
	.long	4f - 1f
	.long	5
0:
	.string	"GNU"
1:
	.align 8
	.long	0xc0000002
	.long	3f - 2f
2:
	.long	0x3
3:
	.align 8
4:
```

Only output the optimized assembly code. Do not include any other text. Do not write any comments in the assembly code. Wrap the assembly code in ```assembly``` tags.
val
	.file	"temp.c"
	.text
	.section	.rodata
.LC0:
	.string	"%d"
.LC1:
	.string	"%s"
.LC2:
	.string	"%d\n"
	.text
	.globl	main
	.type	main, @function
main:
.LFB0:
	.cfi_startproc
	endbr64
	pushq	%rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	movq	%rsp, %rbp
	.cfi_def_cfa_register 6
	leaq	-98304(%rsp), %r11
.LPSRL0:
	subq	$4096, %rsp
	orq	$0, (%rsp)
	cmpq	%r11, %rsp
	jne	.LPSRL0
	subq	$1744, %rsp
	movq	%fs:40, %rax
	movq	%rax, -8(%rbp)
	xorl	%eax, %eax
	movl	$1, -100028(%rbp)
	movl	$0, -100024(%rbp)
	movl	$0, -100020(%rbp)
	leaq	-100040(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	leaq	-100036(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	leaq	-100016(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC1(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movl	$0, -100032(%rbp)
	jmp	.L2
.L11:
	movl	-100032(%rbp), %eax
	cltq
	movzbl	-100016(%rbp,%rax), %eax
	cmpb	$48, %al
	jne	.L3
	cmpl	$0, -100032(%rbp)
	je	.L4
	movl	-100032(%rbp), %eax
	subl	$1, %eax
	cltq
	movzbl	-100016(%rbp,%rax), %eax
	cmpb	$49, %al
	jne	.L3
.L4:
	addl	$1, -100024(%rbp)
.L3:
	movl	-100036(%rbp), %eax
	cmpl	%eax, -100024(%rbp)
	jle	.L5
	jmp	.L6
.L7:
	addl	$1, -100020(%rbp)
.L6:
	movl	-100020(%rbp), %eax
	cltq
	movzbl	-100016(%rbp,%rax), %eax
	cmpb	$49, %al
	je	.L7
	jmp	.L8
.L9:
	addl	$1, -100020(%rbp)
.L8:
	movl	-100020(%rbp), %eax
	cltq
	movzbl	-100016(%rbp,%rax), %eax
	cmpb	$48, %al
	je	.L9
	subl	$1, -100024(%rbp)
.L5:
	movl	-100032(%rbp), %eax
	subl	-100020(%rbp), %eax
	cmpl	%eax, -100028(%rbp)
	jg	.L10
	movl	-100032(%rbp), %eax
	subl	-100020(%rbp), %eax
	addl	$1, %eax
	movl	%eax, -100028(%rbp)
.L10:
	addl	$1, -100032(%rbp)
.L2:
	movl	-100040(%rbp), %eax
	cmpl	%eax, -100032(%rbp)
	jl	.L11
	movl	-100028(%rbp), %eax
	movl	%eax, %esi
	leaq	.LC2(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	printf@PLT
	movl	$0, %eax
	movq	-8(%rbp), %rdx
	subq	%fs:40, %rdx
	je	.L13
	call	__stack_chk_fail@PLT
.L13:
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE0:
	.size	main, .-main
	.ident	"GCC: (Ubuntu 11.4.0-1ubuntu1~22.04) 11.4.0"
	.section	.note.GNU-stack,"",@progbits
	.section	.note.gnu.property,"a"
	.align 8
	.long	1f - 0f
	.long	4f - 1f
	.long	5
0:
	.string	"GNU"
1:
	.align 8
	.long	0xc0000002
	.long	3f - 2f
2:
	.long	0x3
3:
	.align 8
4:
