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 a,b,n,i;
   
   
   while(scanf("%d %d",&a,&b)!=EOF){
       n=a+b;
       
       for(i=0;n>0;i++)
            n/=10;
            
            printf("%d\n",i);
       }
     return(0);
}

```

Unoptimized Assembly Code:

```assembly
	.file	"temp.c"
	.text
	.section	.rodata
.LC0:
	.string	"%d\n"
.LC1:
	.string	"%d %d"
	.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	$32, %rsp
	movq	%fs:40, %rax
	movq	%rax, -8(%rbp)
	xorl	%eax, %eax
	jmp	.L2
.L5:
	movl	-24(%rbp), %edx
	movl	-20(%rbp), %eax
	addl	%edx, %eax
	movl	%eax, -16(%rbp)
	movl	$0, -12(%rbp)
	jmp	.L3
.L4:
	movl	-16(%rbp), %eax
	movslq	%eax, %rdx
	imulq	$1717986919, %rdx, %rdx
	shrq	$32, %rdx
	sarl	$2, %edx
	sarl	$31, %eax
	movl	%eax, %ecx
	movl	%edx, %eax
	subl	%ecx, %eax
	movl	%eax, -16(%rbp)
	addl	$1, -12(%rbp)
.L3:
	cmpl	$0, -16(%rbp)
	jg	.L4
	movl	-12(%rbp), %eax
	movl	%eax, %esi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	printf@PLT
.L2:
	leaq	-20(%rbp), %rdx
	leaq	-24(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC1(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	cmpl	$-1, %eax
	jne	.L5
	movl	$0, %eax
	movq	-8(%rbp), %rdx
	subq	%fs:40, %rdx
	je	.L7
	call	__stack_chk_fail@PLT
.L7:
	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\n"
.LC1:
	.string	"%d %d"
	.section	.text.startup,"ax",@progbits
	.p2align 4
	.globl	main
	.type	main, @function
main:
.LFB23:
	.cfi_startproc
	endbr64
	pushq	%r14
	.cfi_def_cfa_offset 16
	.cfi_offset 14, -16
	movl	$3435973837, %r14d
	pushq	%r13
	.cfi_def_cfa_offset 24
	.cfi_offset 13, -24
	leaq	.LC0(%rip), %r13
	pushq	%r12
	.cfi_def_cfa_offset 32
	.cfi_offset 12, -32
	pushq	%rbp
	.cfi_def_cfa_offset 40
	.cfi_offset 6, -40
	pushq	%rbx
	.cfi_def_cfa_offset 48
	.cfi_offset 3, -48
	leaq	.LC1(%rip), %rbx
	subq	$16, %rsp
	.cfi_def_cfa_offset 64
	movq	%fs:40, %rax
	movq	%rax, 8(%rsp)
	xorl	%eax, %eax
	leaq	4(%rsp), %r12
	movq	%rsp, %rbp
	.p2align 4,,10
	.p2align 3
.L2:
	xorl	%eax, %eax
	movq	%r12, %rdx
	movq	%rbp, %rsi
	movq	%rbx, %rdi
	call	__isoc99_scanf@PLT
	cmpl	$-1, %eax
	je	.L11
	movl	4(%rsp), %eax
	addl	(%rsp), %eax
	xorl	%r8d, %r8d
	testl	%eax, %eax
	jle	.L3
	.p2align 4,,10
	.p2align 3
.L4:
	movl	%eax, %eax
	addl	$1, %r8d
	movq	%rax, %rdx
	imulq	%r14, %rax
	shrq	$35, %rax
	cmpl	$9, %edx
	jg	.L4
.L3:
	movl	%r8d, %edx
	movq	%r13, %rsi
	movl	$1, %edi
	xorl	%eax, %eax
	call	__printf_chk@PLT
	jmp	.L2
	.p2align 4,,10
	.p2align 3
.L11:
	movq	8(%rsp), %rax
	subq	%fs:40, %rax
	jne	.L12
	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
.L12:
	.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\n"
.LC1:
	.string	"%d %d"
	.section	.text.startup,"ax",@progbits
	.p2align 4
	.globl	main
	.type	main, @function
main:
.LFB23:
	.cfi_startproc
	endbr64
	pushq	%r14
	.cfi_def_cfa_offset 16
	.cfi_offset 14, -16
	movl	$3435973837, %r14d
	pushq	%r13
	.cfi_def_cfa_offset 24
	.cfi_offset 13, -24
	leaq	.LC0(%rip), %r13
	pushq	%r12
	.cfi_def_cfa_offset 32
	.cfi_offset 12, -32
	pushq	%rbp
	.cfi_def_cfa_offset 40
	.cfi_offset 6, -40
	pushq	%rbx
	.cfi_def_cfa_offset 48
	.cfi_offset 3, -48
	leaq	.LC1(%rip), %rbx
	subq	$16, %rsp
	.cfi_def_cfa_offset 64
	movq	%fs:40, %rax
	movq	%rax, 8(%rsp)
	xorl	%eax, %eax
	leaq	4(%rsp), %r12
	movq	%rsp, %rbp
	.p2align 4,,10
	.p2align 3
.L2:
	xorl	%eax, %eax
	movq	%r12, %rdx
	movq	%rbp, %rsi
	movq	%rbx, %rdi
	call	__isoc99_scanf@PLT
	cmpl	$-1, %eax
	je	.L11
	movl	4(%rsp), %eax
	addl	(%rsp), %eax
	xorl	%r8d, %r8d
	testl	%eax, %eax
	jle	.L3
	.p2align 4,,10
	.p2align 3
.L4:
	movl	%eax, %eax
	addl	$1, %r8d
	movq	%rax, %rdx
	imulq	%r14, %rax
	shrq	$35, %rax
	cmpl	$9, %edx
	jg	.L4
.L3:
	movl	%r8d, %edx
	movq	%r13, %rsi
	movl	$1, %edi
	xorl	%eax, %eax
	call	__printf_chk@PLT
	jmp	.L2
	.p2align 4,,10
	.p2align 3
.L11:
	movq	8(%rsp), %rax
	subq	%fs:40, %rax
	jne	.L12
	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
.L12:
	.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 a,b,n,i;
   
   
   while(scanf("%d %d",&a,&b)!=EOF){
       n=a+b;
       
       for(i=0;n>0;i++)
            n/=10;
            
            printf("%d\n",i);
       }
     return(0);
}


4 7
1 99
1000 999
 10 10
2 36
1000 25
 10 10
2 3
1000 6
 0 1
2 3
1001 6
 0 0
3 0
0101 6
 1 1
5 0
0001 6
 1 1
5 0
0001 9
 2 0
13 1
1011 4
 2 0
13 1
0011 4
 0 -1
0 0
0010 7

2
3
4
 2
2
4
 2
1
4
 1
1
4
 0
1
3
 1
1
1
 1
1
2
 1
2
4
 1
2
2
 0
0
2

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 a,b,n,i;
   
   
   while(scanf("%d %d",&a,&b)!=EOF){
       n=a+b;
       
       for(i=0;n>0;i++)
            n/=10;
            
            printf("%d\n",i);
       }
     return(0);
}

```

Unoptimized Assembly Code:

```assembly
	.file	"temp.c"
	.text
	.section	.rodata
.LC0:
	.string	"%d\n"
.LC1:
	.string	"%d %d"
	.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	$32, %rsp
	movq	%fs:40, %rax
	movq	%rax, -8(%rbp)
	xorl	%eax, %eax
	jmp	.L2
.L5:
	movl	-24(%rbp), %edx
	movl	-20(%rbp), %eax
	addl	%edx, %eax
	movl	%eax, -16(%rbp)
	movl	$0, -12(%rbp)
	jmp	.L3
.L4:
	movl	-16(%rbp), %eax
	movslq	%eax, %rdx
	imulq	$1717986919, %rdx, %rdx
	shrq	$32, %rdx
	sarl	$2, %edx
	sarl	$31, %eax
	movl	%eax, %ecx
	movl	%edx, %eax
	subl	%ecx, %eax
	movl	%eax, -16(%rbp)
	addl	$1, -12(%rbp)
.L3:
	cmpl	$0, -16(%rbp)
	jg	.L4
	movl	-12(%rbp), %eax
	movl	%eax, %esi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	printf@PLT
.L2:
	leaq	-20(%rbp), %rdx
	leaq	-24(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC1(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	cmpl	$-1, %eax
	jne	.L5
	movl	$0, %eax
	movq	-8(%rbp), %rdx
	subq	%fs:40, %rdx
	je	.L7
	call	__stack_chk_fail@PLT
.L7:
	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
	.section	.rodata
.LC0:
	.string	"%d\n"
.LC1:
	.string	"%d %d"
	.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	$32, %rsp
	movq	%fs:40, %rax
	movq	%rax, -8(%rbp)
	xorl	%eax, %eax
	jmp	.L2
.L5:
	movl	-24(%rbp), %edx
	movl	-20(%rbp), %eax
	addl	%edx, %eax
	movl	%eax, -16(%rbp)
	movl	$0, -12(%rbp)
	jmp	.L3
.L4:
	movl	-16(%rbp), %eax
	movslq	%eax, %rdx
	imulq	$1717986919, %rdx, %rdx
	shrq	$32, %rdx
	sarl	$2, %edx
	sarl	$31, %eax
	movl	%eax, %ecx
	movl	%edx, %eax
	subl	%ecx, %eax
	movl	%eax, -16(%rbp)
	addl	$1, -12(%rbp)
.L3:
	cmpl	$0, -16(%rbp)
	jg	.L4
	movl	-12(%rbp), %eax
	movl	%eax, %esi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	printf@PLT
.L2:
	leaq	-20(%rbp), %rdx
	leaq	-24(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC1(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	cmpl	$-1, %eax
	jne	.L5
	movl	$0, %eax
	movq	-8(%rbp), %rdx
	subq	%fs:40, %rdx
	je	.L7
	call	__stack_chk_fail@PLT
.L7:
	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:
