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

```c
// AOJ 2331: A Way to Invite Friends
// 2017.10.4 bal4u@uu

#include <stdio.h>
#include <stdlib.h>

#define MAX 100001
int tbl[MAX];

int main()
{
	int n, a, b, i, sum, ans;

	scanf("%d", &n);
	for (i = 0; i < n; i++)	{
		scanf("%d%d", &a, &b); a--, b--;
		tbl[a]++, tbl[b+1]--;
	}
	sum = ans = 0;
	for (i = 0; i <= MAX; i++) {
		sum += tbl[i];
		if (sum >= i) ans = i;
	}
	printf("%d\n", ans);
	return 0;
}```

Unoptimized Assembly Code:

```assembly
	.file	"temp.c"
	.text
	.globl	tbl
	.bss
	.align 32
	.type	tbl, @object
	.size	tbl, 400004
tbl:
	.zero	400004
	.section	.rodata
.LC0:
	.string	"%d"
.LC1:
	.string	"%d%d"
.LC2:
	.string	"%d\n"
	.text
	.globl	main
	.type	main, @function
main:
.LFB6:
	.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
	leaq	-32(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movl	$0, -20(%rbp)
	jmp	.L2
.L3:
	leaq	-24(%rbp), %rdx
	leaq	-28(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC1(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movl	-28(%rbp), %eax
	subl	$1, %eax
	movl	%eax, -28(%rbp)
	movl	-24(%rbp), %eax
	subl	$1, %eax
	movl	%eax, -24(%rbp)
	movl	-28(%rbp), %eax
	movslq	%eax, %rdx
	leaq	0(,%rdx,4), %rcx
	leaq	tbl(%rip), %rdx
	movl	(%rcx,%rdx), %edx
	leal	1(%rdx), %ecx
	cltq
	leaq	0(,%rax,4), %rdx
	leaq	tbl(%rip), %rax
	movl	%ecx, (%rdx,%rax)
	movl	-24(%rbp), %eax
	addl	$1, %eax
	movslq	%eax, %rdx
	leaq	0(,%rdx,4), %rcx
	leaq	tbl(%rip), %rdx
	movl	(%rcx,%rdx), %edx
	leal	-1(%rdx), %ecx
	cltq
	leaq	0(,%rax,4), %rdx
	leaq	tbl(%rip), %rax
	movl	%ecx, (%rdx,%rax)
	addl	$1, -20(%rbp)
.L2:
	movl	-32(%rbp), %eax
	cmpl	%eax, -20(%rbp)
	jl	.L3
	movl	$0, -12(%rbp)
	movl	-12(%rbp), %eax
	movl	%eax, -16(%rbp)
	movl	$0, -20(%rbp)
	jmp	.L4
.L6:
	movl	-20(%rbp), %eax
	cltq
	leaq	0(,%rax,4), %rdx
	leaq	tbl(%rip), %rax
	movl	(%rdx,%rax), %eax
	addl	%eax, -16(%rbp)
	movl	-16(%rbp), %eax
	cmpl	-20(%rbp), %eax
	jl	.L5
	movl	-20(%rbp), %eax
	movl	%eax, -12(%rbp)
.L5:
	addl	$1, -20(%rbp)
.L4:
	cmpl	$100001, -20(%rbp)
	jle	.L6
	movl	-12(%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	.L8
	call	__stack_chk_fail@PLT
.L8:
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE6:
	.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	"%d%d"
.LC2:
	.string	"%d\n"
	.section	.text.startup,"ax",@progbits
	.p2align 4
	.globl	main
	.type	main, @function
main:
.LFB39:
	.cfi_startproc
	endbr64
	pushq	%r14
	.cfi_def_cfa_offset 16
	.cfi_offset 14, -16
	leaq	.LC0(%rip), %rdi
	pushq	%r13
	.cfi_def_cfa_offset 24
	.cfi_offset 13, -24
	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	tbl(%rip), %rbx
	subq	$32, %rsp
	.cfi_def_cfa_offset 80
	movq	%fs:40, %rax
	movq	%rax, 24(%rsp)
	xorl	%eax, %eax
	leaq	12(%rsp), %rsi
	call	__isoc99_scanf@PLT
	movl	12(%rsp), %eax
	testl	%eax, %eax
	jle	.L2
	xorl	%r14d, %r14d
	leaq	20(%rsp), %r13
	leaq	16(%rsp), %r12
	leaq	.LC1(%rip), %rbp
	.p2align 4,,10
	.p2align 3
.L3:
	movq	%r13, %rdx
	movq	%r12, %rsi
	movq	%rbp, %rdi
	xorl	%eax, %eax
	call	__isoc99_scanf@PLT
	movl	16(%rsp), %eax
	movl	20(%rsp), %edx
	addl	$1, %r14d
	subl	$1, %eax
	leal	-1(%rdx), %ecx
	movl	%eax, 16(%rsp)
	cltq
	addl	$1, (%rbx,%rax,4)
	movslq	%edx, %rax
	subl	$1, (%rbx,%rax,4)
	movl	%ecx, 20(%rsp)
	cmpl	%r14d, 12(%rsp)
	jg	.L3
.L2:
	xorl	%eax, %eax
	xorl	%r8d, %r8d
	xorl	%edx, %edx
	.p2align 4,,10
	.p2align 3
.L5:
	addl	(%rbx,%rax,4), %edx
	cmpl	%eax, %edx
	cmovge	%eax, %r8d
	addq	$1, %rax
	cmpq	$100002, %rax
	jne	.L5
	xorl	%eax, %eax
	movl	%r8d, %edx
	movl	$1, %edi
	leaq	.LC2(%rip), %rsi
	call	__printf_chk@PLT
	movq	24(%rsp), %rax
	subq	%fs:40, %rax
	jne	.L12
	addq	$32, %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
.LFE39:
	.size	main, .-main
	.globl	tbl
	.bss
	.align 32
	.type	tbl, @object
	.size	tbl, 400004
tbl:
	.zero	400004
	.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	"%d%d"
.LC2:
	.string	"%d\n"
	.section	.text.startup,"ax",@progbits
	.p2align 4
	.globl	main
	.type	main, @function
main:
.LFB39:
	.cfi_startproc
	endbr64
	pushq	%r14
	.cfi_def_cfa_offset 16
	.cfi_offset 14, -16
	leaq	.LC0(%rip), %rdi
	pushq	%r13
	.cfi_def_cfa_offset 24
	.cfi_offset 13, -24
	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	tbl(%rip), %rbx
	subq	$32, %rsp
	.cfi_def_cfa_offset 80
	movq	%fs:40, %rax
	movq	%rax, 24(%rsp)
	xorl	%eax, %eax
	leaq	12(%rsp), %rsi
	call	__isoc99_scanf@PLT
	movl	12(%rsp), %eax
	testl	%eax, %eax
	jle	.L2
	xorl	%r14d, %r14d
	leaq	20(%rsp), %r13
	leaq	16(%rsp), %r12
	leaq	.LC1(%rip), %rbp
	.p2align 4,,10
	.p2align 3
.L3:
	movq	%r13, %rdx
	movq	%r12, %rsi
	movq	%rbp, %rdi
	xorl	%eax, %eax
	call	__isoc99_scanf@PLT
	movl	16(%rsp), %eax
	movl	20(%rsp), %edx
	addl	$1, %r14d
	subl	$1, %eax
	leal	-1(%rdx), %ecx
	movl	%eax, 16(%rsp)
	cltq
	addl	$1, (%rbx,%rax,4)
	movslq	%edx, %rax
	subl	$1, (%rbx,%rax,4)
	movl	%ecx, 20(%rsp)
	cmpl	%r14d, 12(%rsp)
	jg	.L3
.L2:
	xorl	%eax, %eax
	xorl	%r8d, %r8d
	xorl	%edx, %edx
	.p2align 4,,10
	.p2align 3
.L5:
	addl	(%rbx,%rax,4), %edx
	cmpl	%eax, %edx
	cmovge	%eax, %r8d
	addq	$1, %rax
	cmpq	$100002, %rax
	jne	.L5
	xorl	%eax, %eax
	movl	%r8d, %edx
	movl	$1, %edi
	leaq	.LC2(%rip), %rsi
	call	__printf_chk@PLT
	movq	24(%rsp), %rax
	subq	%fs:40, %rax
	jne	.L12
	addq	$32, %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
.LFE39:
	.size	main, .-main
	.globl	tbl
	.bss
	.align 32
	.type	tbl, @object
	.size	tbl, 400004
tbl:
	.zero	400004
	.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:

// AOJ 2331: A Way to Invite Friends
// 2017.10.4 bal4u@uu

#include <stdio.h>
#include <stdlib.h>

#define MAX 100001
int tbl[MAX];

int main()
{
	int n, a, b, i, sum, ans;

	scanf("%d", &n);
	for (i = 0; i < n; i++)	{
		scanf("%d%d", &a, &b); a--, b--;
		tbl[a]++, tbl[b+1]--;
	}
	sum = ans = 0;
	for (i = 0; i <= MAX; i++) {
		sum += tbl[i];
		if (sum >= i) ans = i;
	}
	printf("%d\n", ans);
	return 0;
}
5
8 100001
14 100001
12 100001
8 100001
3 100001
 4
2 5
4 7
2 4
5 6
 6
2 9
4 8
6 7
6 6
5 4
2 100001
 4
2 1
4 7
2 4
5 6
 5
8 100001
7 100001
12 100001
3 100001
3 100001
 6
2 9
2 8
6 7
6 6
5 4
2 100001
 6
4 9
2 8
6 7
6 6
5 4
2 100001
 5
6 100001
7 100001
12 100001
8 100001
3 100001
 4
2 2
4 7
2 4
3 6
 4
2 6
4 7
2 4
5 6

0
 3
 5
 1
 2
 5
 5
 0
 3
 3

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

```c
// AOJ 2331: A Way to Invite Friends
// 2017.10.4 bal4u@uu

#include <stdio.h>
#include <stdlib.h>

#define MAX 100001
int tbl[MAX];

int main()
{
	int n, a, b, i, sum, ans;

	scanf("%d", &n);
	for (i = 0; i < n; i++)	{
		scanf("%d%d", &a, &b); a--, b--;
		tbl[a]++, tbl[b+1]--;
	}
	sum = ans = 0;
	for (i = 0; i <= MAX; i++) {
		sum += tbl[i];
		if (sum >= i) ans = i;
	}
	printf("%d\n", ans);
	return 0;
}```

Unoptimized Assembly Code:

```assembly
	.file	"temp.c"
	.text
	.globl	tbl
	.bss
	.align 32
	.type	tbl, @object
	.size	tbl, 400004
tbl:
	.zero	400004
	.section	.rodata
.LC0:
	.string	"%d"
.LC1:
	.string	"%d%d"
.LC2:
	.string	"%d\n"
	.text
	.globl	main
	.type	main, @function
main:
.LFB6:
	.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
	leaq	-32(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movl	$0, -20(%rbp)
	jmp	.L2
.L3:
	leaq	-24(%rbp), %rdx
	leaq	-28(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC1(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movl	-28(%rbp), %eax
	subl	$1, %eax
	movl	%eax, -28(%rbp)
	movl	-24(%rbp), %eax
	subl	$1, %eax
	movl	%eax, -24(%rbp)
	movl	-28(%rbp), %eax
	movslq	%eax, %rdx
	leaq	0(,%rdx,4), %rcx
	leaq	tbl(%rip), %rdx
	movl	(%rcx,%rdx), %edx
	leal	1(%rdx), %ecx
	cltq
	leaq	0(,%rax,4), %rdx
	leaq	tbl(%rip), %rax
	movl	%ecx, (%rdx,%rax)
	movl	-24(%rbp), %eax
	addl	$1, %eax
	movslq	%eax, %rdx
	leaq	0(,%rdx,4), %rcx
	leaq	tbl(%rip), %rdx
	movl	(%rcx,%rdx), %edx
	leal	-1(%rdx), %ecx
	cltq
	leaq	0(,%rax,4), %rdx
	leaq	tbl(%rip), %rax
	movl	%ecx, (%rdx,%rax)
	addl	$1, -20(%rbp)
.L2:
	movl	-32(%rbp), %eax
	cmpl	%eax, -20(%rbp)
	jl	.L3
	movl	$0, -12(%rbp)
	movl	-12(%rbp), %eax
	movl	%eax, -16(%rbp)
	movl	$0, -20(%rbp)
	jmp	.L4
.L6:
	movl	-20(%rbp), %eax
	cltq
	leaq	0(,%rax,4), %rdx
	leaq	tbl(%rip), %rax
	movl	(%rdx,%rax), %eax
	addl	%eax, -16(%rbp)
	movl	-16(%rbp), %eax
	cmpl	-20(%rbp), %eax
	jl	.L5
	movl	-20(%rbp), %eax
	movl	%eax, -12(%rbp)
.L5:
	addl	$1, -20(%rbp)
.L4:
	cmpl	$100001, -20(%rbp)
	jle	.L6
	movl	-12(%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	.L8
	call	__stack_chk_fail@PLT
.L8:
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE6:
	.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	tbl
	.bss
	.align 32
	.type	tbl, @object
	.size	tbl, 400004
tbl:
	.zero	400004
	.section	.rodata
.LC0:
	.string	"%d"
.LC1:
	.string	"%d%d"
.LC2:
	.string	"%d\n"
	.text
	.globl	main
	.type	main, @function
main:
.LFB6:
	.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
	leaq	-32(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movl	$0, -20(%rbp)
	jmp	.L2
.L3:
	leaq	-24(%rbp), %rdx
	leaq	-28(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC1(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movl	-28(%rbp), %eax
	subl	$1, %eax
	movl	%eax, -28(%rbp)
	movl	-24(%rbp), %eax
	subl	$1, %eax
	movl	%eax, -24(%rbp)
	movl	-28(%rbp), %eax
	movslq	%eax, %rdx
	leaq	0(,%rdx,4), %rcx
	leaq	tbl(%rip), %rdx
	movl	(%rcx,%rdx), %edx
	leal	1(%rdx), %ecx
	cltq
	leaq	0(,%rax,4), %rdx
	leaq	tbl(%rip), %rax
	movl	%ecx, (%rdx,%rax)
	movl	-24(%rbp), %eax
	addl	$1, %eax
	movslq	%eax, %rdx
	leaq	0(,%rdx,4), %rcx
	leaq	tbl(%rip), %rdx
	movl	(%rcx,%rdx), %edx
	leal	-1(%rdx), %ecx
	cltq
	leaq	0(,%rax,4), %rdx
	leaq	tbl(%rip), %rax
	movl	%ecx, (%rdx,%rax)
	addl	$1, -20(%rbp)
.L2:
	movl	-32(%rbp), %eax
	cmpl	%eax, -20(%rbp)
	jl	.L3
	movl	$0, -12(%rbp)
	movl	-12(%rbp), %eax
	movl	%eax, -16(%rbp)
	movl	$0, -20(%rbp)
	jmp	.L4
.L6:
	movl	-20(%rbp), %eax
	cltq
	leaq	0(,%rax,4), %rdx
	leaq	tbl(%rip), %rax
	movl	(%rdx,%rax), %eax
	addl	%eax, -16(%rbp)
	movl	-16(%rbp), %eax
	cmpl	-20(%rbp), %eax
	jl	.L5
	movl	-20(%rbp), %eax
	movl	%eax, -12(%rbp)
.L5:
	addl	$1, -20(%rbp)
.L4:
	cmpl	$100001, -20(%rbp)
	jle	.L6
	movl	-12(%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	.L8
	call	__stack_chk_fail@PLT
.L8:
	leave
	.cfi_def_cfa 7, 8
	ret
	.cfi_endproc
.LFE6:
	.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:
