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 dp[1000001];
void solve() {
	int i;
	for(i = 0; i < 1000001; ++ i) dp[i] = 0;
	dp[1] = 1;
	for(i = 0; i <= 500000; ++ i) {
		if(i * 2 < 1000001) dp[i * 2] = dp[i];
		if(i * 3 < 1000001) dp[i * 3] = dp[i];
		if(i * 5 < 1000001) dp[i * 5] = dp[i];
	}
}
int main() {
	int i, sum, M, N;
	solve();
	while(1) {
		scanf("%d", &M);
		if(M == 0) break;
		scanf("%d", &N);
		sum = 0;
		for(i = M; i <= N; ++ i) sum += dp[i];
		printf("%d\n", sum);
	}
	return 0;
}```

Unoptimized Assembly Code:

```assembly
	.file	"temp.c"
	.text
	.globl	dp
	.bss
	.align 32
	.type	dp, @object
	.size	dp, 4000004
dp:
	.zero	4000004
	.text
	.globl	solve
	.type	solve, @function
solve:
.LFB0:
	.cfi_startproc
	endbr64
	pushq	%rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	movq	%rsp, %rbp
	.cfi_def_cfa_register 6
	movl	$0, -4(%rbp)
	jmp	.L2
.L3:
	movl	-4(%rbp), %eax
	cltq
	leaq	0(,%rax,4), %rdx
	leaq	dp(%rip), %rax
	movl	$0, (%rdx,%rax)
	addl	$1, -4(%rbp)
.L2:
	cmpl	$1000000, -4(%rbp)
	jle	.L3
	movl	$1, 4+dp(%rip)
	movl	$0, -4(%rbp)
	jmp	.L4
.L8:
	movl	-4(%rbp), %eax
	addl	%eax, %eax
	cmpl	$1000000, %eax
	jg	.L5
	movl	-4(%rbp), %eax
	leal	(%rax,%rax), %ecx
	movl	-4(%rbp), %eax
	cltq
	leaq	0(,%rax,4), %rdx
	leaq	dp(%rip), %rax
	movl	(%rdx,%rax), %eax
	movslq	%ecx, %rdx
	leaq	0(,%rdx,4), %rcx
	leaq	dp(%rip), %rdx
	movl	%eax, (%rcx,%rdx)
.L5:
	movl	-4(%rbp), %edx
	movl	%edx, %eax
	addl	%eax, %eax
	addl	%edx, %eax
	cmpl	$1000000, %eax
	jg	.L6
	movl	-4(%rbp), %edx
	movl	%edx, %eax
	addl	%eax, %eax
	leal	(%rax,%rdx), %ecx
	movl	-4(%rbp), %eax
	cltq
	leaq	0(,%rax,4), %rdx
	leaq	dp(%rip), %rax
	movl	(%rdx,%rax), %eax
	movslq	%ecx, %rdx
	leaq	0(,%rdx,4), %rcx
	leaq	dp(%rip), %rdx
	movl	%eax, (%rcx,%rdx)
.L6:
	movl	-4(%rbp), %edx
	movl	%edx, %eax
	sall	$2, %eax
	addl	%edx, %eax
	cmpl	$1000000, %eax
	jg	.L7
	movl	-4(%rbp), %edx
	movl	%edx, %eax
	sall	$2, %eax
	leal	(%rax,%rdx), %ecx
	movl	-4(%rbp), %eax
	cltq
	leaq	0(,%rax,4), %rdx
	leaq	dp(%rip), %rax
	movl	(%rdx,%rax), %eax
	movslq	%ecx, %rdx
	leaq	0(,%rdx,4), %rcx
	leaq	dp(%rip), %rdx
	movl	%eax, (%rcx,%rdx)
.L7:
	addl	$1, -4(%rbp)
.L4:
	cmpl	$500000, -4(%rbp)
	jle	.L8
	nop
	nop
	popq	%rbp
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE0:
	.size	solve, .-solve
	.section	.rodata
.LC0:
	.string	"%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	$32, %rsp
	movq	%fs:40, %rax
	movq	%rax, -8(%rbp)
	xorl	%eax, %eax
	movl	$0, %eax
	call	solve
.L14:
	leaq	-24(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movl	-24(%rbp), %eax
	testl	%eax, %eax
	je	.L18
	leaq	-20(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movl	$0, -12(%rbp)
	movl	-24(%rbp), %eax
	movl	%eax, -16(%rbp)
	jmp	.L12
.L13:
	movl	-16(%rbp), %eax
	cltq
	leaq	0(,%rax,4), %rdx
	leaq	dp(%rip), %rax
	movl	(%rdx,%rax), %eax
	addl	%eax, -12(%rbp)
	addl	$1, -16(%rbp)
.L12:
	movl	-20(%rbp), %eax
	cmpl	%eax, -16(%rbp)
	jle	.L13
	movl	-12(%rbp), %eax
	movl	%eax, %esi
	leaq	.LC1(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	printf@PLT
	jmp	.L14
.L18:
	nop
	movl	$0, %eax
	movq	-8(%rbp), %rdx
	subq	%fs:40, %rdx
	je	.L16
	call	__stack_chk_fail@PLT
.L16:
	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	solve
	.type	solve, @function
solve:
.LFB23:
	.cfi_startproc
	endbr64
	leaq	dp(%rip), %rcx
	movl	$4000004, %edx
	xorl	%esi, %esi
	subq	$8, %rsp
	.cfi_def_cfa_offset 16
	movq	%rcx, %rdi
	call	memset@PLT
	movl	$1, 4+dp(%rip)
	movq	%rax, %rcx
	movq	%rax, %rdx
	movq	%rax, %rsi
	xorl	%eax, %eax
	.p2align 4,,10
	.p2align 3
.L4:
	movl	(%rsi,%rax,4), %r8d
	leal	(%rax,%rax,2), %r9d
	movl	%eax, %edi
	movl	%r8d, (%rsi,%rax,8)
	cmpl	$1000000, %r9d
	ja	.L2
	movl	%r8d, (%rcx)
.L2:
	leal	(%rdi,%rdi,4), %edi
	cmpl	$1000000, %edi
	ja	.L3
	movl	(%rsi,%rax,4), %edi
	movl	%edi, (%rdx)
.L3:
	addq	$1, %rax
	addq	$20, %rdx
	addq	$12, %rcx
	cmpq	$500001, %rax
	jne	.L4
	addq	$8, %rsp
	.cfi_def_cfa_offset 8
	ret
	.cfi_endproc
.LFE23:
	.size	solve, .-solve
	.section	.rodata.str1.1,"aMS",@progbits,1
.LC0:
	.string	"%d"
.LC1:
	.string	"%d\n"
	.section	.text.startup,"ax",@progbits
	.p2align 4
	.globl	main
	.type	main, @function
main:
.LFB24:
	.cfi_startproc
	endbr64
	pushq	%r14
	.cfi_def_cfa_offset 16
	.cfi_offset 14, -16
	pushq	%r13
	.cfi_def_cfa_offset 24
	.cfi_offset 13, -24
	leaq	.LC1(%rip), %r13
	pushq	%r12
	.cfi_def_cfa_offset 32
	.cfi_offset 12, -32
	pushq	%rbp
	.cfi_def_cfa_offset 40
	.cfi_offset 6, -40
	leaq	.LC0(%rip), %rbp
	pushq	%rbx
	.cfi_def_cfa_offset 48
	.cfi_offset 3, -48
	leaq	dp(%rip), %rbx
	subq	$16, %rsp
	.cfi_def_cfa_offset 64
	movq	%fs:40, %rax
	movq	%rax, 8(%rsp)
	xorl	%eax, %eax
	movq	%rsp, %r12
	leaq	4(%rsp), %r14
	call	solve
	.p2align 4,,10
	.p2align 3
.L15:
	movq	%r12, %rsi
	movq	%rbp, %rdi
	xorl	%eax, %eax
	call	__isoc99_scanf@PLT
	movl	(%rsp), %eax
	testl	%eax, %eax
	je	.L9
	movq	%rbp, %rdi
	movq	%r14, %rsi
	xorl	%eax, %eax
	call	__isoc99_scanf@PLT
	movl	(%rsp), %ecx
	movl	4(%rsp), %edi
	cmpl	%edi, %ecx
	jg	.L17
	movl	%edi, %eax
	subl	%ecx, %eax
	leal	1(%rax), %r8d
	cmpl	$2, %eax
	jbe	.L18
	movslq	%ecx, %rax
	pxor	%xmm0, %xmm0
	leaq	(%rbx,%rax,4), %rdx
	movl	%r8d, %eax
	shrl	$2, %eax
	leal	-1(%rax), %esi
	leaq	16(%rdx), %rax
	salq	$4, %rsi
	addq	%rax, %rsi
	jmp	.L12
	.p2align 4,,10
	.p2align 3
.L22:
	addq	$16, %rax
.L12:
	movdqu	(%rdx), %xmm1
	movq	%rax, %rdx
	paddd	%xmm1, %xmm0
	cmpq	%rsi, %rax
	jne	.L22
	movdqa	%xmm0, %xmm1
	movl	%r8d, %eax
	psrldq	$8, %xmm1
	andl	$-4, %eax
	paddd	%xmm1, %xmm0
	addl	%eax, %ecx
	movdqa	%xmm0, %xmm1
	psrldq	$4, %xmm1
	paddd	%xmm1, %xmm0
	movd	%xmm0, %edx
	cmpl	%eax, %r8d
	je	.L10
.L11:
	movslq	%ecx, %rax
	addl	(%rbx,%rax,4), %edx
	leal	1(%rcx), %eax
	cmpl	%edi, %eax
	jg	.L10
	cltq
	addl	$2, %ecx
	addl	(%rbx,%rax,4), %edx
	cmpl	%ecx, %edi
	jl	.L10
	movslq	%ecx, %rcx
	addl	(%rbx,%rcx,4), %edx
.L10:
	movq	%r13, %rsi
	movl	$1, %edi
	xorl	%eax, %eax
	call	__printf_chk@PLT
	jmp	.L15
	.p2align 4,,10
	.p2align 3
.L9:
	movq	8(%rsp), %rax
	subq	%fs:40, %rax
	jne	.L23
	addq	$16, %rsp
	.cfi_remember_state
	.cfi_def_cfa_offset 48
	xorl	%eax, %eax
	popq	%rbx
	.cfi_def_cfa_offset 40
	popq	%rbp
	.cfi_def_cfa_offset 32
	popq	%r12
	.cfi_def_cfa_offset 24
	popq	%r13
	.cfi_def_cfa_offset 16
	popq	%r14
	.cfi_def_cfa_offset 8
	ret
	.p2align 4,,10
	.p2align 3
.L17:
	.cfi_restore_state
	xorl	%edx, %edx
	jmp	.L10
.L18:
	xorl	%edx, %edx
	jmp	.L11
.L23:
	call	__stack_chk_fail@PLT
	.cfi_endproc
.LFE24:
	.size	main, .-main
	.globl	dp
	.bss
	.align 32
	.type	dp, @object
	.size	dp, 4000004
dp:
	.zero	4000004
	.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	solve
	.type	solve, @function
solve:
.LFB23:
	.cfi_startproc
	endbr64
	leaq	dp(%rip), %rcx
	movl	$4000004, %edx
	xorl	%esi, %esi
	subq	$8, %rsp
	.cfi_def_cfa_offset 16
	movq	%rcx, %rdi
	call	memset@PLT
	movl	$1, 4+dp(%rip)
	movq	%rax, %rcx
	movq	%rax, %rdx
	movq	%rax, %rsi
	xorl	%eax, %eax
	.p2align 4,,10
	.p2align 3
.L4:
	movl	(%rsi,%rax,4), %r8d
	leal	(%rax,%rax,2), %r9d
	movl	%eax, %edi
	movl	%r8d, (%rsi,%rax,8)
	cmpl	$1000000, %r9d
	ja	.L2
	movl	%r8d, (%rcx)
.L2:
	leal	(%rdi,%rdi,4), %edi
	cmpl	$1000000, %edi
	ja	.L3
	movl	(%rsi,%rax,4), %edi
	movl	%edi, (%rdx)
.L3:
	addq	$1, %rax
	addq	$20, %rdx
	addq	$12, %rcx
	cmpq	$500001, %rax
	jne	.L4
	addq	$8, %rsp
	.cfi_def_cfa_offset 8
	ret
	.cfi_endproc
.LFE23:
	.size	solve, .-solve
	.section	.rodata.str1.1,"aMS",@progbits,1
.LC0:
	.string	"%d"
.LC1:
	.string	"%d\n"
	.section	.text.startup,"ax",@progbits
	.p2align 4
	.globl	main
	.type	main, @function
main:
.LFB24:
	.cfi_startproc
	endbr64
	pushq	%r14
	.cfi_def_cfa_offset 16
	.cfi_offset 14, -16
	pushq	%r13
	.cfi_def_cfa_offset 24
	.cfi_offset 13, -24
	leaq	.LC1(%rip), %r13
	pushq	%r12
	.cfi_def_cfa_offset 32
	.cfi_offset 12, -32
	pushq	%rbp
	.cfi_def_cfa_offset 40
	.cfi_offset 6, -40
	leaq	.LC0(%rip), %rbp
	pushq	%rbx
	.cfi_def_cfa_offset 48
	.cfi_offset 3, -48
	leaq	dp(%rip), %rbx
	subq	$16, %rsp
	.cfi_def_cfa_offset 64
	movq	%fs:40, %rax
	movq	%rax, 8(%rsp)
	xorl	%eax, %eax
	movq	%rsp, %r12
	leaq	4(%rsp), %r14
	call	solve
	.p2align 4,,10
	.p2align 3
.L15:
	movq	%r12, %rsi
	movq	%rbp, %rdi
	xorl	%eax, %eax
	call	__isoc99_scanf@PLT
	movl	(%rsp), %eax
	testl	%eax, %eax
	je	.L9
	movq	%rbp, %rdi
	movq	%r14, %rsi
	xorl	%eax, %eax
	call	__isoc99_scanf@PLT
	movl	(%rsp), %ecx
	movl	4(%rsp), %edi
	cmpl	%edi, %ecx
	jg	.L17
	movl	%edi, %eax
	subl	%ecx, %eax
	leal	1(%rax), %r8d
	cmpl	$2, %eax
	jbe	.L18
	movslq	%ecx, %rax
	pxor	%xmm0, %xmm0
	leaq	(%rbx,%rax,4), %rdx
	movl	%r8d, %eax
	shrl	$2, %eax
	leal	-1(%rax), %esi
	leaq	16(%rdx), %rax
	salq	$4, %rsi
	addq	%rax, %rsi
	jmp	.L12
	.p2align 4,,10
	.p2align 3
.L22:
	addq	$16, %rax
.L12:
	movdqu	(%rdx), %xmm1
	movq	%rax, %rdx
	paddd	%xmm1, %xmm0
	cmpq	%rsi, %rax
	jne	.L22
	movdqa	%xmm0, %xmm1
	movl	%r8d, %eax
	psrldq	$8, %xmm1
	andl	$-4, %eax
	paddd	%xmm1, %xmm0
	addl	%eax, %ecx
	movdqa	%xmm0, %xmm1
	psrldq	$4, %xmm1
	paddd	%xmm1, %xmm0
	movd	%xmm0, %edx
	cmpl	%eax, %r8d
	je	.L10
.L11:
	movslq	%ecx, %rax
	addl	(%rbx,%rax,4), %edx
	leal	1(%rcx), %eax
	cmpl	%edi, %eax
	jg	.L10
	cltq
	addl	$2, %ecx
	addl	(%rbx,%rax,4), %edx
	cmpl	%ecx, %edi
	jl	.L10
	movslq	%ecx, %rcx
	addl	(%rbx,%rcx,4), %edx
.L10:
	movq	%r13, %rsi
	movl	$1, %edi
	xorl	%eax, %eax
	call	__printf_chk@PLT
	jmp	.L15
	.p2align 4,,10
	.p2align 3
.L9:
	movq	8(%rsp), %rax
	subq	%fs:40, %rax
	jne	.L23
	addq	$16, %rsp
	.cfi_remember_state
	.cfi_def_cfa_offset 48
	xorl	%eax, %eax
	popq	%rbx
	.cfi_def_cfa_offset 40
	popq	%rbp
	.cfi_def_cfa_offset 32
	popq	%r12
	.cfi_def_cfa_offset 24
	popq	%r13
	.cfi_def_cfa_offset 16
	popq	%r14
	.cfi_def_cfa_offset 8
	ret
	.p2align 4,,10
	.p2align 3
.L17:
	.cfi_restore_state
	xorl	%edx, %edx
	jmp	.L10
.L18:
	xorl	%edx, %edx
	jmp	.L11
.L23:
	call	__stack_chk_fail@PLT
	.cfi_endproc
.LFE24:
	.size	main, .-main
	.globl	dp
	.bss
	.align 32
	.type	dp, @object
	.size	dp, 4000004
dp:
	.zero	4000004
	.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 dp[1000001];
void solve() {
	int i;
	for(i = 0; i < 1000001; ++ i) dp[i] = 0;
	dp[1] = 1;
	for(i = 0; i <= 500000; ++ i) {
		if(i * 2 < 1000001) dp[i * 2] = dp[i];
		if(i * 3 < 1000001) dp[i * 3] = dp[i];
		if(i * 5 < 1000001) dp[i * 5] = dp[i];
	}
}
int main() {
	int i, sum, M, N;
	solve();
	while(1) {
		scanf("%d", &M);
		if(M == 0) break;
		scanf("%d", &N);
		sum = 0;
		for(i = M; i <= N; ++ i) sum += dp[i];
		printf("%d\n", sum);
	}
	return 0;
}
3 8
2 27
1 86
0
 3 9
2 27
1 86
0
 3 8
1 35
1 86
0
 5 8
2 27
1 86
0
 3 9
4 27
1 86
0
 3 9
6 27
1 86
0
 3 9
6 31
1 86
0
 3 6
6 31
1 86
0
 3 6
6 9
1 86
0
 3 6
8 9
1 86
0

5
16
31
 6
16
31
 5
19
31
 3
16
31
 6
14
31
 6
12
31
 6
13
31
 4
13
31
 4
3
31
 4
2
31

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 dp[1000001];
void solve() {
	int i;
	for(i = 0; i < 1000001; ++ i) dp[i] = 0;
	dp[1] = 1;
	for(i = 0; i <= 500000; ++ i) {
		if(i * 2 < 1000001) dp[i * 2] = dp[i];
		if(i * 3 < 1000001) dp[i * 3] = dp[i];
		if(i * 5 < 1000001) dp[i * 5] = dp[i];
	}
}
int main() {
	int i, sum, M, N;
	solve();
	while(1) {
		scanf("%d", &M);
		if(M == 0) break;
		scanf("%d", &N);
		sum = 0;
		for(i = M; i <= N; ++ i) sum += dp[i];
		printf("%d\n", sum);
	}
	return 0;
}```

Unoptimized Assembly Code:

```assembly
	.file	"temp.c"
	.text
	.globl	dp
	.bss
	.align 32
	.type	dp, @object
	.size	dp, 4000004
dp:
	.zero	4000004
	.text
	.globl	solve
	.type	solve, @function
solve:
.LFB0:
	.cfi_startproc
	endbr64
	pushq	%rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	movq	%rsp, %rbp
	.cfi_def_cfa_register 6
	movl	$0, -4(%rbp)
	jmp	.L2
.L3:
	movl	-4(%rbp), %eax
	cltq
	leaq	0(,%rax,4), %rdx
	leaq	dp(%rip), %rax
	movl	$0, (%rdx,%rax)
	addl	$1, -4(%rbp)
.L2:
	cmpl	$1000000, -4(%rbp)
	jle	.L3
	movl	$1, 4+dp(%rip)
	movl	$0, -4(%rbp)
	jmp	.L4
.L8:
	movl	-4(%rbp), %eax
	addl	%eax, %eax
	cmpl	$1000000, %eax
	jg	.L5
	movl	-4(%rbp), %eax
	leal	(%rax,%rax), %ecx
	movl	-4(%rbp), %eax
	cltq
	leaq	0(,%rax,4), %rdx
	leaq	dp(%rip), %rax
	movl	(%rdx,%rax), %eax
	movslq	%ecx, %rdx
	leaq	0(,%rdx,4), %rcx
	leaq	dp(%rip), %rdx
	movl	%eax, (%rcx,%rdx)
.L5:
	movl	-4(%rbp), %edx
	movl	%edx, %eax
	addl	%eax, %eax
	addl	%edx, %eax
	cmpl	$1000000, %eax
	jg	.L6
	movl	-4(%rbp), %edx
	movl	%edx, %eax
	addl	%eax, %eax
	leal	(%rax,%rdx), %ecx
	movl	-4(%rbp), %eax
	cltq
	leaq	0(,%rax,4), %rdx
	leaq	dp(%rip), %rax
	movl	(%rdx,%rax), %eax
	movslq	%ecx, %rdx
	leaq	0(,%rdx,4), %rcx
	leaq	dp(%rip), %rdx
	movl	%eax, (%rcx,%rdx)
.L6:
	movl	-4(%rbp), %edx
	movl	%edx, %eax
	sall	$2, %eax
	addl	%edx, %eax
	cmpl	$1000000, %eax
	jg	.L7
	movl	-4(%rbp), %edx
	movl	%edx, %eax
	sall	$2, %eax
	leal	(%rax,%rdx), %ecx
	movl	-4(%rbp), %eax
	cltq
	leaq	0(,%rax,4), %rdx
	leaq	dp(%rip), %rax
	movl	(%rdx,%rax), %eax
	movslq	%ecx, %rdx
	leaq	0(,%rdx,4), %rcx
	leaq	dp(%rip), %rdx
	movl	%eax, (%rcx,%rdx)
.L7:
	addl	$1, -4(%rbp)
.L4:
	cmpl	$500000, -4(%rbp)
	jle	.L8
	nop
	nop
	popq	%rbp
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE0:
	.size	solve, .-solve
	.section	.rodata
.LC0:
	.string	"%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	$32, %rsp
	movq	%fs:40, %rax
	movq	%rax, -8(%rbp)
	xorl	%eax, %eax
	movl	$0, %eax
	call	solve
.L14:
	leaq	-24(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movl	-24(%rbp), %eax
	testl	%eax, %eax
	je	.L18
	leaq	-20(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movl	$0, -12(%rbp)
	movl	-24(%rbp), %eax
	movl	%eax, -16(%rbp)
	jmp	.L12
.L13:
	movl	-16(%rbp), %eax
	cltq
	leaq	0(,%rax,4), %rdx
	leaq	dp(%rip), %rax
	movl	(%rdx,%rax), %eax
	addl	%eax, -12(%rbp)
	addl	$1, -16(%rbp)
.L12:
	movl	-20(%rbp), %eax
	cmpl	%eax, -16(%rbp)
	jle	.L13
	movl	-12(%rbp), %eax
	movl	%eax, %esi
	leaq	.LC1(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	printf@PLT
	jmp	.L14
.L18:
	nop
	movl	$0, %eax
	movq	-8(%rbp), %rdx
	subq	%fs:40, %rdx
	je	.L16
	call	__stack_chk_fail@PLT
.L16:
	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	dp
	.bss
	.align 32
	.type	dp, @object
	.size	dp, 4000004
dp:
	.zero	4000004
	.text
	.globl	solve
	.type	solve, @function
solve:
.LFB0:
	.cfi_startproc
	endbr64
	pushq	%rbp
	.cfi_def_cfa_offset 16
	.cfi_offset 6, -16
	movq	%rsp, %rbp
	.cfi_def_cfa_register 6
	movl	$0, -4(%rbp)
	jmp	.L2
.L3:
	movl	-4(%rbp), %eax
	cltq
	leaq	0(,%rax,4), %rdx
	leaq	dp(%rip), %rax
	movl	$0, (%rdx,%rax)
	addl	$1, -4(%rbp)
.L2:
	cmpl	$1000000, -4(%rbp)
	jle	.L3
	movl	$1, 4+dp(%rip)
	movl	$0, -4(%rbp)
	jmp	.L4
.L8:
	movl	-4(%rbp), %eax
	addl	%eax, %eax
	cmpl	$1000000, %eax
	jg	.L5
	movl	-4(%rbp), %eax
	leal	(%rax,%rax), %ecx
	movl	-4(%rbp), %eax
	cltq
	leaq	0(,%rax,4), %rdx
	leaq	dp(%rip), %rax
	movl	(%rdx,%rax), %eax
	movslq	%ecx, %rdx
	leaq	0(,%rdx,4), %rcx
	leaq	dp(%rip), %rdx
	movl	%eax, (%rcx,%rdx)
.L5:
	movl	-4(%rbp), %edx
	movl	%edx, %eax
	addl	%eax, %eax
	addl	%edx, %eax
	cmpl	$1000000, %eax
	jg	.L6
	movl	-4(%rbp), %edx
	movl	%edx, %eax
	addl	%eax, %eax
	leal	(%rax,%rdx), %ecx
	movl	-4(%rbp), %eax
	cltq
	leaq	0(,%rax,4), %rdx
	leaq	dp(%rip), %rax
	movl	(%rdx,%rax), %eax
	movslq	%ecx, %rdx
	leaq	0(,%rdx,4), %rcx
	leaq	dp(%rip), %rdx
	movl	%eax, (%rcx,%rdx)
.L6:
	movl	-4(%rbp), %edx
	movl	%edx, %eax
	sall	$2, %eax
	addl	%edx, %eax
	cmpl	$1000000, %eax
	jg	.L7
	movl	-4(%rbp), %edx
	movl	%edx, %eax
	sall	$2, %eax
	leal	(%rax,%rdx), %ecx
	movl	-4(%rbp), %eax
	cltq
	leaq	0(,%rax,4), %rdx
	leaq	dp(%rip), %rax
	movl	(%rdx,%rax), %eax
	movslq	%ecx, %rdx
	leaq	0(,%rdx,4), %rcx
	leaq	dp(%rip), %rdx
	movl	%eax, (%rcx,%rdx)
.L7:
	addl	$1, -4(%rbp)
.L4:
	cmpl	$500000, -4(%rbp)
	jle	.L8
	nop
	nop
	popq	%rbp
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE0:
	.size	solve, .-solve
	.section	.rodata
.LC0:
	.string	"%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	$32, %rsp
	movq	%fs:40, %rax
	movq	%rax, -8(%rbp)
	xorl	%eax, %eax
	movl	$0, %eax
	call	solve
.L14:
	leaq	-24(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movl	-24(%rbp), %eax
	testl	%eax, %eax
	je	.L18
	leaq	-20(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movl	$0, -12(%rbp)
	movl	-24(%rbp), %eax
	movl	%eax, -16(%rbp)
	jmp	.L12
.L13:
	movl	-16(%rbp), %eax
	cltq
	leaq	0(,%rax,4), %rdx
	leaq	dp(%rip), %rax
	movl	(%rdx,%rax), %eax
	addl	%eax, -12(%rbp)
	addl	$1, -16(%rbp)
.L12:
	movl	-20(%rbp), %eax
	cmpl	%eax, -16(%rbp)
	jle	.L13
	movl	-12(%rbp), %eax
	movl	%eax, %esi
	leaq	.LC1(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	printf@PLT
	jmp	.L14
.L18:
	nop
	movl	$0, %eax
	movq	-8(%rbp), %rdx
	subq	%fs:40, %rdx
	je	.L16
	call	__stack_chk_fail@PLT
.L16:
	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:
