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 dfs(int s,int i,int depth){
	int j,res=0;
	if(s==0)return 1;
	if(depth==4)return 0;
	for(;i*i<=s;i++){
		res += dfs(s-i*i,i,depth+1);
	}
	return res;
}
int main(){
	int n;
	while(scanf("%d",&n),n){
		printf("%d\n",dfs(n,1,0));
	}
	return 0;
}```

Unoptimized Assembly Code:

```assembly
	.file	"temp.c"
	.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
	movl	%edi, -20(%rbp)
	movl	%esi, -24(%rbp)
	movl	%edx, -28(%rbp)
	movl	$0, -4(%rbp)
	cmpl	$0, -20(%rbp)
	jne	.L2
	movl	$1, %eax
	jmp	.L3
.L2:
	cmpl	$4, -28(%rbp)
	jne	.L5
	movl	$0, %eax
	jmp	.L3
.L6:
	movl	-28(%rbp), %eax
	leal	1(%rax), %edx
	movl	-24(%rbp), %eax
	imull	%eax, %eax
	movl	%eax, %esi
	movl	-20(%rbp), %eax
	subl	%esi, %eax
	movl	%eax, %ecx
	movl	-24(%rbp), %eax
	movl	%eax, %esi
	movl	%ecx, %edi
	call	dfs
	addl	%eax, -4(%rbp)
	addl	$1, -24(%rbp)
.L5:
	movl	-24(%rbp), %eax
	imull	%eax, %eax
	cmpl	%eax, -20(%rbp)
	jge	.L6
	movl	-4(%rbp), %eax
.L3:
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE0:
	.size	dfs, .-dfs
	.section	.rodata
.LC0:
	.string	"%d\n"
.LC1:
	.string	"%d"
	.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	$16, %rsp
	movq	%fs:40, %rax
	movq	%rax, -8(%rbp)
	xorl	%eax, %eax
	jmp	.L8
.L9:
	movl	-12(%rbp), %eax
	movl	$0, %edx
	movl	$1, %esi
	movl	%eax, %edi
	call	dfs
	movl	%eax, %esi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	printf@PLT
.L8:
	leaq	-12(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC1(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movl	-12(%rbp), %eax
	testl	%eax, %eax
	jne	.L9
	movl	$0, %eax
	movq	-8(%rbp), %rdx
	subq	%fs:40, %rdx
	je	.L11
	call	__stack_chk_fail@PLT
.L11:
	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
	.type	dfs.part.0, @function
dfs.part.0:
.LFB25:
	.cfi_startproc
	pushq	%r15
	.cfi_def_cfa_offset 16
	.cfi_offset 15, -16
	movl	%esi, %eax
	pushq	%r14
	.cfi_def_cfa_offset 24
	.cfi_offset 14, -24
	imull	%esi, %eax
	pushq	%r13
	.cfi_def_cfa_offset 32
	.cfi_offset 13, -32
	pushq	%r12
	.cfi_def_cfa_offset 40
	.cfi_offset 12, -40
	pushq	%rbp
	.cfi_def_cfa_offset 48
	.cfi_offset 6, -48
	pushq	%rbx
	.cfi_def_cfa_offset 56
	.cfi_offset 3, -56
	subq	$56, %rsp
	.cfi_def_cfa_offset 112
	movl	%edi, 4(%rsp)
	movl	$0, 12(%rsp)
	cmpl	%eax, %edi
	jl	.L1
	movl	%edx, %r11d
	movl	%esi, %r9d
	leal	5(%rdx), %edx
.L20:
	movl	4(%rsp), %ecx
	subl	%eax, %ecx
	je	.L3
	cmpl	$3, %r11d
	je	.L4
	movl	%r9d, %eax
	imull	%r9d, %eax
	cmpl	%ecx, %eax
	jg	.L4
	movl	$0, 8(%rsp)
	movl	%r9d, %r8d
	movl	%ecx, %r10d
	movl	%r9d, 16(%rsp)
.L19:
	movl	%r10d, %r15d
	subl	%eax, %r15d
	je	.L5
	cmpl	$2, %r11d
	je	.L6
	movl	%r8d, %eax
	imull	%r8d, %eax
	cmpl	%eax, %r15d
	jl	.L6
	movl	%r8d, %r13d
	xorl	%r9d, %r9d
	movl	%r15d, %ecx
.L18:
	movl	%ecx, %r12d
	subl	%eax, %r12d
	je	.L7
	cmpl	$1, %r11d
	je	.L8
	movl	%r13d, %eax
	imull	%r13d, %eax
	cmpl	%r12d, %eax
	jg	.L8
	movl	%r13d, %ebp
	xorl	%r15d, %r15d
.L17:
	movl	%r12d, %ebx
	subl	%eax, %ebx
	je	.L9
	testl	%r11d, %r11d
	je	.L10
	movl	%ebp, %eax
	imull	%ebp, %eax
	cmpl	%eax, %ebx
	jl	.L10
	movl	%ebp, %esi
	xorl	%r14d, %r14d
	cmpl	$4, %edx
	je	.L11
.L14:
	movl	%ebx, %edi
	subl	%eax, %edi
	je	.L43
	movl	%r11d, 44(%rsp)
	movl	%r9d, 40(%rsp)
	movl	%r8d, 36(%rsp)
	movl	%ecx, 32(%rsp)
	movl	%r10d, 28(%rsp)
	movl	%edx, 24(%rsp)
	movl	%esi, 20(%rsp)
	call	dfs.part.0
	movl	44(%rsp), %r11d
	movl	40(%rsp), %r9d
	movl	36(%rsp), %r8d
	movl	32(%rsp), %ecx
	addl	%eax, %r14d
	movl	28(%rsp), %r10d
	movl	24(%rsp), %edx
	movl	20(%rsp), %esi
	.p2align 4,,10
	.p2align 3
.L13:
	addl	$1, %esi
	movl	%esi, %eax
	imull	%esi, %eax
	cmpl	%eax, %ebx
	jge	.L14
.L15:
	addl	%r14d, %r15d
.L10:
	addl	$1, %ebp
	movl	%ebp, %eax
	imull	%ebp, %eax
	cmpl	%eax, %r12d
	jge	.L17
	addl	%r15d, %r9d
.L8:
	addl	$1, %r13d
	movl	%r13d, %eax
	imull	%r13d, %eax
	cmpl	%eax, %ecx
	jge	.L18
	addl	%r9d, 8(%rsp)
.L6:
	addl	$1, %r8d
	movl	%r8d, %eax
	imull	%r8d, %eax
	cmpl	%eax, %r10d
	jge	.L19
	movl	8(%rsp), %ecx
	addl	%ecx, 12(%rsp)
	movl	16(%rsp), %r9d
.L4:
	addl	$1, %r9d
	movl	%r9d, %eax
	imull	%r9d, %eax
	cmpl	%eax, 4(%rsp)
	jge	.L20
.L1:
	movl	12(%rsp), %eax
	addq	$56, %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
.L11:
	.cfi_restore_state
	cmpl	%eax, %ebx
	sete	%al
	addl	$1, %esi
	movzbl	%al, %eax
	addl	%eax, %r14d
	movl	%esi, %eax
	imull	%esi, %eax
	cmpl	%eax, %ebx
	jge	.L11
	jmp	.L15
	.p2align 4,,10
	.p2align 3
.L43:
	addl	$1, %r14d
	jmp	.L13
	.p2align 4,,10
	.p2align 3
.L9:
	addl	$1, %r15d
	jmp	.L10
	.p2align 4,,10
	.p2align 3
.L7:
	addl	$1, %r9d
	jmp	.L8
	.p2align 4,,10
	.p2align 3
.L5:
	addl	$1, 8(%rsp)
	jmp	.L6
	.p2align 4,,10
	.p2align 3
.L3:
	addl	$1, 12(%rsp)
	jmp	.L4
	.cfi_endproc
.LFE25:
	.size	dfs.part.0, .-dfs.part.0
	.p2align 4
	.globl	dfs
	.type	dfs, @function
dfs:
.LFB23:
	.cfi_startproc
	endbr64
	testl	%edi, %edi
	je	.L46
	cmpl	$4, %edx
	je	.L47
	jmp	dfs.part.0
	.p2align 4,,10
	.p2align 3
.L46:
	movl	$1, %eax
	ret
	.p2align 4,,10
	.p2align 3
.L47:
	xorl	%eax, %eax
	ret
	.cfi_endproc
.LFE23:
	.size	dfs, .-dfs
	.section	.rodata.str1.1,"aMS",@progbits,1
.LC0:
	.string	"%d\n"
.LC1:
	.string	"%d"
	.section	.text.startup,"ax",@progbits
	.p2align 4
	.globl	main
	.type	main, @function
main:
.LFB24:
	.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
	pushq	%rbp
	.cfi_def_cfa_offset 48
	.cfi_offset 6, -48
	pushq	%rbx
	.cfi_def_cfa_offset 56
	.cfi_offset 3, -56
	subq	$40, %rsp
	.cfi_def_cfa_offset 96
	movq	%fs:40, %rax
	movq	%rax, 24(%rsp)
	xorl	%eax, %eax
	leaq	20(%rsp), %rax
	movq	%rax, 8(%rsp)
	.p2align 4,,10
	.p2align 3
.L49:
	movq	8(%rsp), %rsi
	leaq	.LC1(%rip), %rdi
	xorl	%eax, %eax
	call	__isoc99_scanf@PLT
	movl	20(%rsp), %ebp
	testl	%ebp, %ebp
	je	.L54
	movl	$0, %r12d
	movl	$1, %r15d
	movl	$1, %eax
	jle	.L55
.L53:
	movl	%ebp, %r14d
	subl	%eax, %r14d
	je	.L50
	movl	%r15d, %eax
	imull	%r15d, %eax
	cmpl	%eax, %r14d
	jl	.L51
	movl	%r15d, %ebx
	xorl	%r13d, %r13d
.L52:
	movl	%r14d, %edi
	movl	%ebx, %esi
	movl	$2, %edx
	addl	$1, %ebx
	subl	%eax, %edi
	call	dfs
	addl	%eax, %r13d
	movl	%ebx, %eax
	imull	%ebx, %eax
	cmpl	%eax, %r14d
	jge	.L52
	addl	%r13d, %r12d
.L51:
	addl	$1, %r15d
	movl	%r15d, %eax
	imull	%r15d, %eax
	cmpl	%eax, %ebp
	jge	.L53
.L55:
	movl	%r12d, %edx
	leaq	.LC0(%rip), %rsi
	movl	$1, %edi
	xorl	%eax, %eax
	call	__printf_chk@PLT
	jmp	.L49
	.p2align 4,,10
	.p2align 3
.L50:
	addl	$1, %r12d
	jmp	.L51
	.p2align 4,,10
	.p2align 3
.L54:
	movq	24(%rsp), %rax
	subq	%fs:40, %rax
	jne	.L61
	addq	$40, %rsp
	.cfi_remember_state
	.cfi_def_cfa_offset 56
	xorl	%eax, %eax
	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
.L61:
	.cfi_restore_state
	call	__stack_chk_fail@PLT
	.cfi_endproc
.LFE24:
	.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
	.p2align 4
	.type	dfs.part.0, @function
dfs.part.0:
.LFB25:
	.cfi_startproc
	pushq	%r15
	.cfi_def_cfa_offset 16
	.cfi_offset 15, -16
	movl	%esi, %eax
	pushq	%r14
	.cfi_def_cfa_offset 24
	.cfi_offset 14, -24
	imull	%esi, %eax
	pushq	%r13
	.cfi_def_cfa_offset 32
	.cfi_offset 13, -32
	pushq	%r12
	.cfi_def_cfa_offset 40
	.cfi_offset 12, -40
	pushq	%rbp
	.cfi_def_cfa_offset 48
	.cfi_offset 6, -48
	pushq	%rbx
	.cfi_def_cfa_offset 56
	.cfi_offset 3, -56
	subq	$56, %rsp
	.cfi_def_cfa_offset 112
	movl	%edi, 4(%rsp)
	movl	$0, 12(%rsp)
	cmpl	%eax, %edi
	jl	.L1
	movl	%edx, %r11d
	movl	%esi, %r9d
	leal	5(%rdx), %edx
.L20:
	movl	4(%rsp), %ecx
	subl	%eax, %ecx
	je	.L3
	cmpl	$3, %r11d
	je	.L4
	movl	%r9d, %eax
	imull	%r9d, %eax
	cmpl	%ecx, %eax
	jg	.L4
	movl	$0, 8(%rsp)
	movl	%r9d, %r8d
	movl	%ecx, %r10d
	movl	%r9d, 16(%rsp)
.L19:
	movl	%r10d, %r15d
	subl	%eax, %r15d
	je	.L5
	cmpl	$2, %r11d
	je	.L6
	movl	%r8d, %eax
	imull	%r8d, %eax
	cmpl	%eax, %r15d
	jl	.L6
	movl	%r8d, %r13d
	xorl	%r9d, %r9d
	movl	%r15d, %ecx
.L18:
	movl	%ecx, %r12d
	subl	%eax, %r12d
	je	.L7
	cmpl	$1, %r11d
	je	.L8
	movl	%r13d, %eax
	imull	%r13d, %eax
	cmpl	%r12d, %eax
	jg	.L8
	movl	%r13d, %ebp
	xorl	%r15d, %r15d
.L17:
	movl	%r12d, %ebx
	subl	%eax, %ebx
	je	.L9
	testl	%r11d, %r11d
	je	.L10
	movl	%ebp, %eax
	imull	%ebp, %eax
	cmpl	%eax, %ebx
	jl	.L10
	movl	%ebp, %esi
	xorl	%r14d, %r14d
	cmpl	$4, %edx
	je	.L11
.L14:
	movl	%ebx, %edi
	subl	%eax, %edi
	je	.L43
	movl	%r11d, 44(%rsp)
	movl	%r9d, 40(%rsp)
	movl	%r8d, 36(%rsp)
	movl	%ecx, 32(%rsp)
	movl	%r10d, 28(%rsp)
	movl	%edx, 24(%rsp)
	movl	%esi, 20(%rsp)
	call	dfs.part.0
	movl	44(%rsp), %r11d
	movl	40(%rsp), %r9d
	movl	36(%rsp), %r8d
	movl	32(%rsp), %ecx
	addl	%eax, %r14d
	movl	28(%rsp), %r10d
	movl	24(%rsp), %edx
	movl	20(%rsp), %esi
	.p2align 4,,10
	.p2align 3
.L13:
	addl	$1, %esi
	movl	%esi, %eax
	imull	%esi, %eax
	cmpl	%eax, %ebx
	jge	.L14
.L15:
	addl	%r14d, %r15d
.L10:
	addl	$1, %ebp
	movl	%ebp, %eax
	imull	%ebp, %eax
	cmpl	%eax, %r12d
	jge	.L17
	addl	%r15d, %r9d
.L8:
	addl	$1, %r13d
	movl	%r13d, %eax
	imull	%r13d, %eax
	cmpl	%eax, %ecx
	jge	.L18
	addl	%r9d, 8(%rsp)
.L6:
	addl	$1, %r8d
	movl	%r8d, %eax
	imull	%r8d, %eax
	cmpl	%eax, %r10d
	jge	.L19
	movl	8(%rsp), %ecx
	addl	%ecx, 12(%rsp)
	movl	16(%rsp), %r9d
.L4:
	addl	$1, %r9d
	movl	%r9d, %eax
	imull	%r9d, %eax
	cmpl	%eax, 4(%rsp)
	jge	.L20
.L1:
	movl	12(%rsp), %eax
	addq	$56, %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
.L11:
	.cfi_restore_state
	cmpl	%eax, %ebx
	sete	%al
	addl	$1, %esi
	movzbl	%al, %eax
	addl	%eax, %r14d
	movl	%esi, %eax
	imull	%esi, %eax
	cmpl	%eax, %ebx
	jge	.L11
	jmp	.L15
	.p2align 4,,10
	.p2align 3
.L43:
	addl	$1, %r14d
	jmp	.L13
	.p2align 4,,10
	.p2align 3
.L9:
	addl	$1, %r15d
	jmp	.L10
	.p2align 4,,10
	.p2align 3
.L7:
	addl	$1, %r9d
	jmp	.L8
	.p2align 4,,10
	.p2align 3
.L5:
	addl	$1, 8(%rsp)
	jmp	.L6
	.p2align 4,,10
	.p2align 3
.L3:
	addl	$1, 12(%rsp)
	jmp	.L4
	.cfi_endproc
.LFE25:
	.size	dfs.part.0, .-dfs.part.0
	.p2align 4
	.globl	dfs
	.type	dfs, @function
dfs:
.LFB23:
	.cfi_startproc
	endbr64
	testl	%edi, %edi
	je	.L46
	cmpl	$4, %edx
	je	.L47
	jmp	dfs.part.0
	.p2align 4,,10
	.p2align 3
.L46:
	movl	$1, %eax
	ret
	.p2align 4,,10
	.p2align 3
.L47:
	xorl	%eax, %eax
	ret
	.cfi_endproc
.LFE23:
	.size	dfs, .-dfs
	.section	.rodata.str1.1,"aMS",@progbits,1
.LC0:
	.string	"%d\n"
.LC1:
	.string	"%d"
	.section	.text.startup,"ax",@progbits
	.p2align 4
	.globl	main
	.type	main, @function
main:
.LFB24:
	.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
	pushq	%rbp
	.cfi_def_cfa_offset 48
	.cfi_offset 6, -48
	pushq	%rbx
	.cfi_def_cfa_offset 56
	.cfi_offset 3, -56
	subq	$40, %rsp
	.cfi_def_cfa_offset 96
	movq	%fs:40, %rax
	movq	%rax, 24(%rsp)
	xorl	%eax, %eax
	leaq	20(%rsp), %rax
	movq	%rax, 8(%rsp)
	.p2align 4,,10
	.p2align 3
.L49:
	movq	8(%rsp), %rsi
	leaq	.LC1(%rip), %rdi
	xorl	%eax, %eax
	call	__isoc99_scanf@PLT
	movl	20(%rsp), %ebp
	testl	%ebp, %ebp
	je	.L54
	movl	$0, %r12d
	movl	$1, %r15d
	movl	$1, %eax
	jle	.L55
.L53:
	movl	%ebp, %r14d
	subl	%eax, %r14d
	je	.L50
	movl	%r15d, %eax
	imull	%r15d, %eax
	cmpl	%eax, %r14d
	jl	.L51
	movl	%r15d, %ebx
	xorl	%r13d, %r13d
.L52:
	movl	%r14d, %edi
	movl	%ebx, %esi
	movl	$2, %edx
	addl	$1, %ebx
	subl	%eax, %edi
	call	dfs
	addl	%eax, %r13d
	movl	%ebx, %eax
	imull	%ebx, %eax
	cmpl	%eax, %r14d
	jge	.L52
	addl	%r13d, %r12d
.L51:
	addl	$1, %r15d
	movl	%r15d, %eax
	imull	%r15d, %eax
	cmpl	%eax, %ebp
	jge	.L53
.L55:
	movl	%r12d, %edx
	leaq	.LC0(%rip), %rsi
	movl	$1, %edi
	xorl	%eax, %eax
	call	__printf_chk@PLT
	jmp	.L49
	.p2align 4,,10
	.p2align 3
.L50:
	addl	$1, %r12d
	jmp	.L51
	.p2align 4,,10
	.p2align 3
.L54:
	movq	24(%rsp), %rax
	subq	%fs:40, %rax
	jne	.L61
	addq	$40, %rsp
	.cfi_remember_state
	.cfi_def_cfa_offset 56
	xorl	%eax, %eax
	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
.L61:
	.cfi_restore_state
	call	__stack_chk_fail@PLT
	.cfi_endproc
.LFE24:
	.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 dfs(int s,int i,int depth){
	int j,res=0;
	if(s==0)return 1;
	if(depth==4)return 0;
	for(;i*i<=s;i++){
		res += dfs(s-i*i,i,depth+1);
	}
	return res;
}
int main(){
	int n;
	while(scanf("%d",&n),n){
		printf("%d\n",dfs(n,1,0));
	}
	return 0;
}
1
8
2003
211
20007
0
 1
0
2003
211
20007
0
 1
1
762
0
34403
0
 1
25
2003
170
20007
0
 1
8
2003
211
20858
0
 1
1
1704
211
20007
0
 1
14
2003
170
20007
0
 1
8
1621
211
20858
0
 1
1
1704
312
20007
0
 1
12
1621
211
20858
0

1
1
48
7
738
 1
 1
1
41
 1
3
48
11
738
 1
1
48
7
699
 1
1
24
7
738
 1
1
48
11
738
 1
1
42
7
699
 1
1
24
4
738
 1
2
42
7
699

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 dfs(int s,int i,int depth){
	int j,res=0;
	if(s==0)return 1;
	if(depth==4)return 0;
	for(;i*i<=s;i++){
		res += dfs(s-i*i,i,depth+1);
	}
	return res;
}
int main(){
	int n;
	while(scanf("%d",&n),n){
		printf("%d\n",dfs(n,1,0));
	}
	return 0;
}```

Unoptimized Assembly Code:

```assembly
	.file	"temp.c"
	.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
	movl	%edi, -20(%rbp)
	movl	%esi, -24(%rbp)
	movl	%edx, -28(%rbp)
	movl	$0, -4(%rbp)
	cmpl	$0, -20(%rbp)
	jne	.L2
	movl	$1, %eax
	jmp	.L3
.L2:
	cmpl	$4, -28(%rbp)
	jne	.L5
	movl	$0, %eax
	jmp	.L3
.L6:
	movl	-28(%rbp), %eax
	leal	1(%rax), %edx
	movl	-24(%rbp), %eax
	imull	%eax, %eax
	movl	%eax, %esi
	movl	-20(%rbp), %eax
	subl	%esi, %eax
	movl	%eax, %ecx
	movl	-24(%rbp), %eax
	movl	%eax, %esi
	movl	%ecx, %edi
	call	dfs
	addl	%eax, -4(%rbp)
	addl	$1, -24(%rbp)
.L5:
	movl	-24(%rbp), %eax
	imull	%eax, %eax
	cmpl	%eax, -20(%rbp)
	jge	.L6
	movl	-4(%rbp), %eax
.L3:
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE0:
	.size	dfs, .-dfs
	.section	.rodata
.LC0:
	.string	"%d\n"
.LC1:
	.string	"%d"
	.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	$16, %rsp
	movq	%fs:40, %rax
	movq	%rax, -8(%rbp)
	xorl	%eax, %eax
	jmp	.L8
.L9:
	movl	-12(%rbp), %eax
	movl	$0, %edx
	movl	$1, %esi
	movl	%eax, %edi
	call	dfs
	movl	%eax, %esi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	printf@PLT
.L8:
	leaq	-12(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC1(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movl	-12(%rbp), %eax
	testl	%eax, %eax
	jne	.L9
	movl	$0, %eax
	movq	-8(%rbp), %rdx
	subq	%fs:40, %rdx
	je	.L11
	call	__stack_chk_fail@PLT
.L11:
	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	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
	movl	%edi, -20(%rbp)
	movl	%esi, -24(%rbp)
	movl	%edx, -28(%rbp)
	movl	$0, -4(%rbp)
	cmpl	$0, -20(%rbp)
	jne	.L2
	movl	$1, %eax
	jmp	.L3
.L2:
	cmpl	$4, -28(%rbp)
	jne	.L5
	movl	$0, %eax
	jmp	.L3
.L6:
	movl	-28(%rbp), %eax
	leal	1(%rax), %edx
	movl	-24(%rbp), %eax
	imull	%eax, %eax
	movl	%eax, %esi
	movl	-20(%rbp), %eax
	subl	%esi, %eax
	movl	%eax, %ecx
	movl	-24(%rbp), %eax
	movl	%eax, %esi
	movl	%ecx, %edi
	call	dfs
	addl	%eax, -4(%rbp)
	addl	$1, -24(%rbp)
.L5:
	movl	-24(%rbp), %eax
	imull	%eax, %eax
	cmpl	%eax, -20(%rbp)
	jge	.L6
	movl	-4(%rbp), %eax
.L3:
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE0:
	.size	dfs, .-dfs
	.section	.rodata
.LC0:
	.string	"%d\n"
.LC1:
	.string	"%d"
	.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	$16, %rsp
	movq	%fs:40, %rax
	movq	%rax, -8(%rbp)
	xorl	%eax, %eax
	jmp	.L8
.L9:
	movl	-12(%rbp), %eax
	movl	$0, %edx
	movl	$1, %esi
	movl	%eax, %edi
	call	dfs
	movl	%eax, %esi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	printf@PLT
.L8:
	leaq	-12(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC1(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movl	-12(%rbp), %eax
	testl	%eax, %eax
	jne	.L9
	movl	$0, %eax
	movq	-8(%rbp), %rdx
	subq	%fs:40, %rdx
	je	.L11
	call	__stack_chk_fail@PLT
.L11:
	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:
