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

```c
i;y;z;main(a){for(;~scanf("%d",&a);)i++?a%2?z--:a%4?y++:z++:0;puts((!y&&z>-2||y&&z+1)?"Yes":"No");}```

Unoptimized Assembly Code:

```assembly
	.file	"temp.c"
	.text
	.globl	i
	.bss
	.align 4
	.type	i, @object
	.size	i, 4
i:
	.zero	4
	.globl	y
	.align 4
	.type	y, @object
	.size	y, 4
y:
	.zero	4
	.globl	z
	.align 4
	.type	z, @object
	.size	z, 4
z:
	.zero	4
	.section	.rodata
.LC0:
	.string	"%d"
.LC1:
	.string	"Yes"
.LC2:
	.string	"No"
	.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
	subq	$16, %rsp
	movl	%edi, -4(%rbp)
	jmp	.L2
.L8:
	movl	i(%rip), %eax
	leal	1(%rax), %edx
	movl	%edx, i(%rip)
	testl	%eax, %eax
	je	.L2
	movl	-4(%rbp), %eax
	andl	$1, %eax
	testl	%eax, %eax
	je	.L4
	movl	z(%rip), %eax
	subl	$1, %eax
	movl	%eax, z(%rip)
	jmp	.L2
.L4:
	movl	-4(%rbp), %eax
	andl	$3, %eax
	testl	%eax, %eax
	je	.L6
	movl	y(%rip), %eax
	addl	$1, %eax
	movl	%eax, y(%rip)
	jmp	.L2
.L6:
	movl	z(%rip), %eax
	addl	$1, %eax
	movl	%eax, z(%rip)
.L2:
	leaq	-4(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	scanf@PLT
	cmpl	$-1, %eax
	jne	.L8
	movl	y(%rip), %eax
	testl	%eax, %eax
	jne	.L9
	movl	z(%rip), %eax
	cmpl	$-1, %eax
	jge	.L10
.L9:
	movl	y(%rip), %eax
	testl	%eax, %eax
	je	.L11
	movl	z(%rip), %eax
	cmpl	$-1, %eax
	je	.L11
.L10:
	leaq	.LC1(%rip), %rax
	jmp	.L12
.L11:
	leaq	.LC2(%rip), %rax
.L12:
	movq	%rax, %rdi
	call	puts@PLT
	movl	$0, %eax
	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	"No"
.LC1:
	.string	"Yes"
.LC2:
	.string	"%d"
	.section	.text.startup,"ax",@progbits
	.p2align 4
	.globl	main
	.type	main, @function
main:
.LFB0:
	.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	.LC2(%rip), %rbx
	subq	$24, %rsp
	.cfi_def_cfa_offset 48
	movl	%edi, 12(%rsp)
	leaq	12(%rsp), %rbp
	jmp	.L3
	.p2align 4,,10
	.p2align 3
.L7:
	movl	i(%rip), %eax
	leal	1(%rax), %edx
	movl	%edx, i(%rip)
	testl	%eax, %eax
	jne	.L16
.L3:
	xorl	%eax, %eax
	movq	%rbp, %rsi
	movq	%rbx, %rdi
	call	scanf@PLT
	cmpl	$-1, %eax
	jne	.L7
	movl	y(%rip), %edx
	movl	z(%rip), %eax
	testl	%edx, %edx
	je	.L17
	addl	$1, %eax
	leaq	.LC0(%rip), %rdi
	leaq	.LC1(%rip), %rax
	cmovne	%rax, %rdi
.L9:
	call	puts@PLT
	addq	$24, %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
	.p2align 4,,10
	.p2align 3
.L16:
	.cfi_restore_state
	movl	12(%rsp), %eax
	testb	$1, %al
	jne	.L18
	testb	$3, %al
	je	.L6
	addl	$1, y(%rip)
	jmp	.L3
.L17:
	addl	$1, %eax
	leaq	.LC0(%rip), %rdi
	leaq	.LC1(%rip), %rax
	cmovge	%rax, %rdi
	jmp	.L9
.L18:
	subl	$1, z(%rip)
	jmp	.L3
.L6:
	addl	$1, z(%rip)
	jmp	.L3
	.cfi_endproc
.LFE0:
	.size	main, .-main
	.globl	z
	.bss
	.align 4
	.type	z, @object
	.size	z, 4
z:
	.zero	4
	.globl	y
	.align 4
	.type	y, @object
	.size	y, 4
y:
	.zero	4
	.globl	i
	.align 4
	.type	i, @object
	.size	i, 4
i:
	.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
	.section	.rodata.str1.1,"aMS",@progbits,1
.LC0:
	.string	"No"
.LC1:
	.string	"Yes"
.LC2:
	.string	"%d"
	.section	.text.startup,"ax",@progbits
	.p2align 4
	.globl	main
	.type	main, @function
main:
.LFB0:
	.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	.LC2(%rip), %rbx
	subq	$24, %rsp
	.cfi_def_cfa_offset 48
	movl	%edi, 12(%rsp)
	leaq	12(%rsp), %rbp
	jmp	.L3
	.p2align 4,,10
	.p2align 3
.L7:
	movl	i(%rip), %eax
	leal	1(%rax), %edx
	movl	%edx, i(%rip)
	testl	%eax, %eax
	jne	.L16
.L3:
	xorl	%eax, %eax
	movq	%rbp, %rsi
	movq	%rbx, %rdi
	call	scanf@PLT
	cmpl	$-1, %eax
	jne	.L7
	movl	y(%rip), %edx
	movl	z(%rip), %eax
	testl	%edx, %edx
	je	.L17
	addl	$1, %eax
	leaq	.LC0(%rip), %rdi
	leaq	.LC1(%rip), %rax
	cmovne	%rax, %rdi
.L9:
	call	puts@PLT
	addq	$24, %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
	.p2align 4,,10
	.p2align 3
.L16:
	.cfi_restore_state
	movl	12(%rsp), %eax
	testb	$1, %al
	jne	.L18
	testb	$3, %al
	je	.L6
	addl	$1, y(%rip)
	jmp	.L3
.L17:
	addl	$1, %eax
	leaq	.LC0(%rip), %rdi
	leaq	.LC1(%rip), %rax
	cmovge	%rax, %rdi
	jmp	.L9
.L18:
	subl	$1, z(%rip)
	jmp	.L3
.L6:
	addl	$1, z(%rip)
	jmp	.L3
	.cfi_endproc
.LFE0:
	.size	main, .-main
	.globl	z
	.bss
	.align 4
	.type	z, @object
	.size	z, 4
z:
	.zero	4
	.globl	y
	.align 4
	.type	y, @object
	.size	y, 4
y:
	.zero	4
	.globl	i
	.align 4
	.type	i, @object
	.size	i, 4
i:
	.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:

i;y;z;main(a){for(;~scanf("%d",&a);)i++?a%2?z--:a%4?y++:z++:0;puts((!y&&z>-2||y&&z+1)?"Yes":"No");}
3
1 10 100

Yes

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

```c
i;y;z;main(a){for(;~scanf("%d",&a);)i++?a%2?z--:a%4?y++:z++:0;puts((!y&&z>-2||y&&z+1)?"Yes":"No");}```

Unoptimized Assembly Code:

```assembly
	.file	"temp.c"
	.text
	.globl	i
	.bss
	.align 4
	.type	i, @object
	.size	i, 4
i:
	.zero	4
	.globl	y
	.align 4
	.type	y, @object
	.size	y, 4
y:
	.zero	4
	.globl	z
	.align 4
	.type	z, @object
	.size	z, 4
z:
	.zero	4
	.section	.rodata
.LC0:
	.string	"%d"
.LC1:
	.string	"Yes"
.LC2:
	.string	"No"
	.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
	subq	$16, %rsp
	movl	%edi, -4(%rbp)
	jmp	.L2
.L8:
	movl	i(%rip), %eax
	leal	1(%rax), %edx
	movl	%edx, i(%rip)
	testl	%eax, %eax
	je	.L2
	movl	-4(%rbp), %eax
	andl	$1, %eax
	testl	%eax, %eax
	je	.L4
	movl	z(%rip), %eax
	subl	$1, %eax
	movl	%eax, z(%rip)
	jmp	.L2
.L4:
	movl	-4(%rbp), %eax
	andl	$3, %eax
	testl	%eax, %eax
	je	.L6
	movl	y(%rip), %eax
	addl	$1, %eax
	movl	%eax, y(%rip)
	jmp	.L2
.L6:
	movl	z(%rip), %eax
	addl	$1, %eax
	movl	%eax, z(%rip)
.L2:
	leaq	-4(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	scanf@PLT
	cmpl	$-1, %eax
	jne	.L8
	movl	y(%rip), %eax
	testl	%eax, %eax
	jne	.L9
	movl	z(%rip), %eax
	cmpl	$-1, %eax
	jge	.L10
.L9:
	movl	y(%rip), %eax
	testl	%eax, %eax
	je	.L11
	movl	z(%rip), %eax
	cmpl	$-1, %eax
	je	.L11
.L10:
	leaq	.LC1(%rip), %rax
	jmp	.L12
.L11:
	leaq	.LC2(%rip), %rax
.L12:
	movq	%rax, %rdi
	call	puts@PLT
	movl	$0, %eax
	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.
train
	.file	"temp.c"
	.text
	.globl	i
	.bss
	.align 4
	.type	i, @object
	.size	i, 4
i:
	.zero	4
	.globl	y
	.align 4
	.type	y, @object
	.size	y, 4
y:
	.zero	4
	.globl	z
	.align 4
	.type	z, @object
	.size	z, 4
z:
	.zero	4
	.section	.rodata
.LC0:
	.string	"%d"
.LC1:
	.string	"Yes"
.LC2:
	.string	"No"
	.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
	subq	$16, %rsp
	movl	%edi, -4(%rbp)
	jmp	.L2
.L8:
	movl	i(%rip), %eax
	leal	1(%rax), %edx
	movl	%edx, i(%rip)
	testl	%eax, %eax
	je	.L2
	movl	-4(%rbp), %eax
	andl	$1, %eax
	testl	%eax, %eax
	je	.L4
	movl	z(%rip), %eax
	subl	$1, %eax
	movl	%eax, z(%rip)
	jmp	.L2
.L4:
	movl	-4(%rbp), %eax
	andl	$3, %eax
	testl	%eax, %eax
	je	.L6
	movl	y(%rip), %eax
	addl	$1, %eax
	movl	%eax, y(%rip)
	jmp	.L2
.L6:
	movl	z(%rip), %eax
	addl	$1, %eax
	movl	%eax, z(%rip)
.L2:
	leaq	-4(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	scanf@PLT
	cmpl	$-1, %eax
	jne	.L8
	movl	y(%rip), %eax
	testl	%eax, %eax
	jne	.L9
	movl	z(%rip), %eax
	cmpl	$-1, %eax
	jge	.L10
.L9:
	movl	y(%rip), %eax
	testl	%eax, %eax
	je	.L11
	movl	z(%rip), %eax
	cmpl	$-1, %eax
	je	.L11
.L10:
	leaq	.LC1(%rip), %rax
	jmp	.L12
.L11:
	leaq	.LC2(%rip), %rax
.L12:
	movq	%rax, %rdi
	call	puts@PLT
	movl	$0, %eax
	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:
