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>
#include <string.h>
#include <stdlib.h>
#include <stdbool.h>
#include <math.h>

int main(void){

    int K, S;

    scanf("%d%d", &K, &S);

    int ans = 0;

    for(int i = 0; i <= K; i++){
        if(i > S){
            break;
        }
        for(int j = 0; j <= K; j++){
            if(i + j > S){
                break;
            }
            if(S - i - j >= 0 && S - i - j <= K){
                ans++;
            }
        }
    }

    printf("%d\n", ans);

    return 0;
}```

Unoptimized Assembly Code:

```assembly
	.file	"temp.c"
	.text
	.section	.rodata
.LC0:
	.string	"%d%d"
.LC1:
	.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	-24(%rbp), %rdx
	leaq	-28(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movl	$0, -20(%rbp)
	movl	$0, -16(%rbp)
	jmp	.L2
.L10:
	movl	-24(%rbp), %eax
	cmpl	%eax, -16(%rbp)
	jg	.L13
	movl	$0, -12(%rbp)
	jmp	.L5
.L9:
	movl	-16(%rbp), %edx
	movl	-12(%rbp), %eax
	addl	%eax, %edx
	movl	-24(%rbp), %eax
	cmpl	%eax, %edx
	jg	.L14
	movl	-24(%rbp), %eax
	subl	-16(%rbp), %eax
	subl	-12(%rbp), %eax
	testl	%eax, %eax
	js	.L8
	movl	-24(%rbp), %eax
	subl	-16(%rbp), %eax
	subl	-12(%rbp), %eax
	movl	%eax, %edx
	movl	-28(%rbp), %eax
	cmpl	%eax, %edx
	jg	.L8
	addl	$1, -20(%rbp)
.L8:
	addl	$1, -12(%rbp)
.L5:
	movl	-28(%rbp), %eax
	cmpl	%eax, -12(%rbp)
	jle	.L9
	jmp	.L7
.L14:
	nop
.L7:
	addl	$1, -16(%rbp)
.L2:
	movl	-28(%rbp), %eax
	cmpl	%eax, -16(%rbp)
	jle	.L10
	jmp	.L4
.L13:
	nop
.L4:
	movl	-20(%rbp), %eax
	movl	%eax, %esi
	leaq	.LC1(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	printf@PLT
	movl	$0, %eax
	movq	-8(%rbp), %rdx
	subq	%fs:40, %rdx
	je	.L12
	call	__stack_chk_fail@PLT
.L12:
	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%d"
.LC1:
	.string	"%d\n"
	.section	.text.startup,"ax",@progbits
	.p2align 4
	.globl	main
	.type	main, @function
main:
.LFB51:
	.cfi_startproc
	endbr64
	subq	$24, %rsp
	.cfi_def_cfa_offset 32
	leaq	.LC0(%rip), %rdi
	movq	%fs:40, %rax
	movq	%rax, 8(%rsp)
	xorl	%eax, %eax
	leaq	4(%rsp), %rdx
	movq	%rsp, %rsi
	call	__isoc99_scanf@PLT
	movl	(%rsp), %ecx
	testl	%ecx, %ecx
	js	.L9
	movl	4(%rsp), %edi
	xorl	%r10d, %r10d
	xorl	%r8d, %r8d
	movl	%edi, %r11d
	.p2align 4,,10
	.p2align 3
.L7:
	cmpl	%r10d, %edi
	jl	.L2
	movl	%r11d, %eax
	leal	1(%r11), %esi
	leal	(%r10,%r11), %r9d
	jmp	.L3
	.p2align 4,,10
	.p2align 3
.L6:
	subl	$1, %eax
	movl	%r9d, %edx
	subl	%eax, %edx
	cmpl	%edx, %edi
	jl	.L4
.L3:
	cmpl	%ecx, %eax
	jg	.L5
	movl	%eax, %edx
	notl	%edx
	shrl	$31, %edx
	cmpb	$1, %dl
	sbbl	$-1, %r8d
.L5:
	movl	%esi, %edx
	subl	%eax, %edx
	cmpl	%edx, %ecx
	jge	.L6
.L4:
	addl	$1, %r10d
	subl	$1, %r11d
	cmpl	%ecx, %r10d
	jle	.L7
.L2:
	xorl	%eax, %eax
	movl	%r8d, %edx
	movl	$1, %edi
	leaq	.LC1(%rip), %rsi
	call	__printf_chk@PLT
	movq	8(%rsp), %rax
	subq	%fs:40, %rax
	jne	.L16
	xorl	%eax, %eax
	addq	$24, %rsp
	.cfi_remember_state
	.cfi_def_cfa_offset 8
	ret
.L9:
	.cfi_restore_state
	xorl	%r8d, %r8d
	jmp	.L2
.L16:
	call	__stack_chk_fail@PLT
	.cfi_endproc
.LFE51:
	.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%d"
.LC1:
	.string	"%d\n"
	.section	.text.startup,"ax",@progbits
	.p2align 4
	.globl	main
	.type	main, @function
main:
.LFB51:
	.cfi_startproc
	endbr64
	subq	$24, %rsp
	.cfi_def_cfa_offset 32
	leaq	.LC0(%rip), %rdi
	movq	%fs:40, %rax
	movq	%rax, 8(%rsp)
	xorl	%eax, %eax
	leaq	4(%rsp), %rdx
	movq	%rsp, %rsi
	call	__isoc99_scanf@PLT
	movl	(%rsp), %ecx
	testl	%ecx, %ecx
	js	.L9
	movl	4(%rsp), %edi
	xorl	%r10d, %r10d
	xorl	%r8d, %r8d
	movl	%edi, %r11d
	.p2align 4,,10
	.p2align 3
.L7:
	cmpl	%r10d, %edi
	jl	.L2
	movl	%r11d, %eax
	leal	1(%r11), %esi
	leal	(%r10,%r11), %r9d
	jmp	.L3
	.p2align 4,,10
	.p2align 3
.L6:
	subl	$1, %eax
	movl	%r9d, %edx
	subl	%eax, %edx
	cmpl	%edx, %edi
	jl	.L4
.L3:
	cmpl	%ecx, %eax
	jg	.L5
	movl	%eax, %edx
	notl	%edx
	shrl	$31, %edx
	cmpb	$1, %dl
	sbbl	$-1, %r8d
.L5:
	movl	%esi, %edx
	subl	%eax, %edx
	cmpl	%edx, %ecx
	jge	.L6
.L4:
	addl	$1, %r10d
	subl	$1, %r11d
	cmpl	%ecx, %r10d
	jle	.L7
.L2:
	xorl	%eax, %eax
	movl	%r8d, %edx
	movl	$1, %edi
	leaq	.LC1(%rip), %rsi
	call	__printf_chk@PLT
	movq	8(%rsp), %rax
	subq	%fs:40, %rax
	jne	.L16
	xorl	%eax, %eax
	addq	$24, %rsp
	.cfi_remember_state
	.cfi_def_cfa_offset 8
	ret
.L9:
	.cfi_restore_state
	xorl	%r8d, %r8d
	jmp	.L2
.L16:
	call	__stack_chk_fail@PLT
	.cfi_endproc
.LFE51:
	.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>
#include <string.h>
#include <stdlib.h>
#include <stdbool.h>
#include <math.h>

int main(void){

    int K, S;

    scanf("%d%d", &K, &S);

    int ans = 0;

    for(int i = 0; i <= K; i++){
        if(i > S){
            break;
        }
        for(int j = 0; j <= K; j++){
            if(i + j > S){
                break;
            }
            if(S - i - j >= 0 && S - i - j <= K){
                ans++;
            }
        }
    }

    printf("%d\n", ans);

    return 0;
}
3 2
 5 7
 3 3
 4 7
 3 4
 1 7
 2 5
 4 0
 6 7
 17 4

6
 27
 10
 18
 12
 0
 3
 1
 33
 15

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>
#include <string.h>
#include <stdlib.h>
#include <stdbool.h>
#include <math.h>

int main(void){

    int K, S;

    scanf("%d%d", &K, &S);

    int ans = 0;

    for(int i = 0; i <= K; i++){
        if(i > S){
            break;
        }
        for(int j = 0; j <= K; j++){
            if(i + j > S){
                break;
            }
            if(S - i - j >= 0 && S - i - j <= K){
                ans++;
            }
        }
    }

    printf("%d\n", ans);

    return 0;
}```

Unoptimized Assembly Code:

```assembly
	.file	"temp.c"
	.text
	.section	.rodata
.LC0:
	.string	"%d%d"
.LC1:
	.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	-24(%rbp), %rdx
	leaq	-28(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movl	$0, -20(%rbp)
	movl	$0, -16(%rbp)
	jmp	.L2
.L10:
	movl	-24(%rbp), %eax
	cmpl	%eax, -16(%rbp)
	jg	.L13
	movl	$0, -12(%rbp)
	jmp	.L5
.L9:
	movl	-16(%rbp), %edx
	movl	-12(%rbp), %eax
	addl	%eax, %edx
	movl	-24(%rbp), %eax
	cmpl	%eax, %edx
	jg	.L14
	movl	-24(%rbp), %eax
	subl	-16(%rbp), %eax
	subl	-12(%rbp), %eax
	testl	%eax, %eax
	js	.L8
	movl	-24(%rbp), %eax
	subl	-16(%rbp), %eax
	subl	-12(%rbp), %eax
	movl	%eax, %edx
	movl	-28(%rbp), %eax
	cmpl	%eax, %edx
	jg	.L8
	addl	$1, -20(%rbp)
.L8:
	addl	$1, -12(%rbp)
.L5:
	movl	-28(%rbp), %eax
	cmpl	%eax, -12(%rbp)
	jle	.L9
	jmp	.L7
.L14:
	nop
.L7:
	addl	$1, -16(%rbp)
.L2:
	movl	-28(%rbp), %eax
	cmpl	%eax, -16(%rbp)
	jle	.L10
	jmp	.L4
.L13:
	nop
.L4:
	movl	-20(%rbp), %eax
	movl	%eax, %esi
	leaq	.LC1(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	printf@PLT
	movl	$0, %eax
	movq	-8(%rbp), %rdx
	subq	%fs:40, %rdx
	je	.L12
	call	__stack_chk_fail@PLT
.L12:
	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
	.section	.rodata
.LC0:
	.string	"%d%d"
.LC1:
	.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	-24(%rbp), %rdx
	leaq	-28(%rbp), %rax
	movq	%rax, %rsi
	leaq	.LC0(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	__isoc99_scanf@PLT
	movl	$0, -20(%rbp)
	movl	$0, -16(%rbp)
	jmp	.L2
.L10:
	movl	-24(%rbp), %eax
	cmpl	%eax, -16(%rbp)
	jg	.L13
	movl	$0, -12(%rbp)
	jmp	.L5
.L9:
	movl	-16(%rbp), %edx
	movl	-12(%rbp), %eax
	addl	%eax, %edx
	movl	-24(%rbp), %eax
	cmpl	%eax, %edx
	jg	.L14
	movl	-24(%rbp), %eax
	subl	-16(%rbp), %eax
	subl	-12(%rbp), %eax
	testl	%eax, %eax
	js	.L8
	movl	-24(%rbp), %eax
	subl	-16(%rbp), %eax
	subl	-12(%rbp), %eax
	movl	%eax, %edx
	movl	-28(%rbp), %eax
	cmpl	%eax, %edx
	jg	.L8
	addl	$1, -20(%rbp)
.L8:
	addl	$1, -12(%rbp)
.L5:
	movl	-28(%rbp), %eax
	cmpl	%eax, -12(%rbp)
	jle	.L9
	jmp	.L7
.L14:
	nop
.L7:
	addl	$1, -16(%rbp)
.L2:
	movl	-28(%rbp), %eax
	cmpl	%eax, -16(%rbp)
	jle	.L10
	jmp	.L4
.L13:
	nop
.L4:
	movl	-20(%rbp), %eax
	movl	%eax, %esi
	leaq	.LC1(%rip), %rax
	movq	%rax, %rdi
	movl	$0, %eax
	call	printf@PLT
	movl	$0, %eax
	movq	-8(%rbp), %rdx
	subq	%fs:40, %rdx
	je	.L12
	call	__stack_chk_fail@PLT
.L12:
	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:
