user: Demonstrate the C code that generates the assembly output below:

```asm
<backtrackSubsets>:
  endbr64
  push   %r15
  mov    %rdi,%r15
  push   %r14
  mov    %edx,%r14d
  push   %r13
  push   %r12
  push   %rbp
  push   %rbx
  sub    $0xd8,%rsp
  mov    %esi,0xc8(%rsp)
  cmp    %edx,%esi
  je     L99
  lea    0x1(%rsi),%eax
  mov    %edx,(%rsp)
  cltq
  mov    %rax,0x58(%rsp)
  lea    -0x2(%rdx),%eax
  mov    %eax,0x70(%rsp)
  sub    %esi,%eax
  mov    %eax,0x60(%rsp)
  lea    -0x1(%rdx),%eax
  mov    %eax,0x64(%rsp)
L115:
  mov    0x58(%rsp),%rax
  mov    0x60(%rsp),%ecx
  movl   $0x0,-0x4(%r15,%rax,4)
  mov    %eax,0xac(%rsp)
  cmp    $0xffffffff,%ecx
  je     L117
  add    $0x1,%rax
  lea    -0x1(%rcx),%edi
  mov    %rax,0xb0(%rsp)
  mov    %edi,0x9c(%rsp)
  mov    %edi,0x54(%rsp)
  mov    %rax,0x48(%rsp)
L87:
  mov    0x48(%rsp),%rax
  mov    0x54(%rsp),%edi
  movl   $0x0,-0x4(%r15,%rax,4)
  mov    %eax,0xa8(%rsp)
  cmp    $0xffffffff,%edi
  je     L109
  add    $0x1,%rax
  lea    -0x1(%rdi),%edx
  mov    %rax,0xa0(%rsp)
  mov    %edx,0x8c(%rsp)
  mov    %edx,0x50(%rsp)
  mov    %rax,0x40(%rsp)
L164:
  mov    0x40(%rsp),%rax
  mov    0x50(%rsp),%edx
  movl   $0x0,-0x4(%r15,%rax,4)
  mov    %eax,0x98(%rsp)
  cmp    $0xffffffff,%edx
  je     L146
  add    $0x1,%rax
  lea    -0x1(%rdx),%ecx
  mov    %r15,%r12
  mov    %rax,0x90(%rsp)
  mov    %ecx,0x7c(%rsp)
  mov    %ecx,0x3c(%rsp)
  mov    %rax,0x30(%rsp)
L36:
  mov    0x30(%rsp),%rax
  mov    0x3c(%rsp),%esi
  movl   $0x0,-0x4(%r12,%rax,4)
  mov    %eax,0x88(%rsp)
  cmp    $0xffffffff,%esi
  je     L172
  lea    0x1(%rax),%r13
  lea    -0x1(%rsi),%eax
  mov    %r12,%rbx
  mov    %r13,0x80(%rsp)
  mov    %eax,%r15d
  mov    %eax,0x78(%rsp)
L105:
  movl   $0x0,-0x4(%rbx,%r13,4)
  mov    %r13d,0x28(%rsp)
  cmp    $0xffffffff,%r15d
  je     L8
  lea    0x1(%r13),%rbp
  mov    (%rsp),%r14d
  mov    %r15d,0x2c(%rsp)
  mov    %rbp,0x18(%rsp)
  sub    %r13d,%r14d
  mov    %r13,0x20(%rsp)
  mov    %r14d,%r13d
L129:
  movl   $0x0,-0x4(%rbx,%rbp,4)
  mov    %ebp,0x38(%rsp)
  cmp    $0x1,%r13d
  je     L128
  lea    -0x3(%r13),%eax
  lea    0x1(%rbp),%rcx
  mov    %eax,0x8(%rsp)
  lea    -0x1(%r13),%r15d
  lea    0x2(%rbp),%eax
  mov    %rcx,%r14
  mov    %rcx,0x10(%rsp)
  mov    %eax,0xc(%rsp)
  mov    %r15d,0x4(%rsp)
L148:
  cmpl   $0xffffffff,0x8(%rsp)
  mov    %r14d,0x74(%rsp)
  movl   $0x0,-0x4(%rbx,%r14,4)
  je     L25
  mov    0xc(%rsp),%r12d
  mov    %rbp,0x68(%rsp)
  mov    %r12d,%ebp
  mov    %r14,%r12
  movl   $0x0,(%rbx,%r12,4)
  cmp    (%rsp),%ebp
  je     L12
L35:
  mov    0x70(%rsp),%edx
  lea    0x2(%r12),%rax
  mov    %r12d,%r8d
  sub    %r12d,%edx
  lea    0x3(%r12,%rdx,1),%r9
L173:
  movl   $0x0,-0x4(%rbx,%rax,4)
  mov    (%rsp),%edx
  mov    %eax,%esi
  mov    %rbx,%rdi
  mov    %r8d,0xcc(%rsp)
  mov    %r9,0xc0(%rsp)
  mov    %rax,0xb8(%rsp)
  call   <backtrackSubsets>
  mov    0xb8(%rsp),%rax
  mov    0xc0(%rsp),%r9
  mov    0xcc(%rsp),%r8d
  movl   $0x1,-0x4(%rbx,%rax,4)
  add    $0x1,%rax
  cmp    %r9,%rax
  jne    L173
  mov    0x64(%rsp),%eax
  mov    %rbx,%rdi
  lea    (%rax,%rbp,1),%esi
  add    $0x1,%ebp
  sub    %r8d,%esi
  call   <printSubset@plt>
  movl   $0x1,(%rbx,%r12,4)
  add    $0x1,%r12
  movl   $0x0,(%rbx,%r12,4)
  cmp    (%rsp),%ebp
  jne    L35
L12:
  subl   $0x1,0x4(%rsp)
  mov    0x8(%rsp),%eax
  mov    %rbx,%rdi
  mov    0x4(%rsp),%ecx
  mov    0x74(%rsp),%r12d
  add    %r14,%rax
  mov    0x68(%rsp),%rbp
  add    %ecx,%r12d
  lea    (%rbx,%rax,4),%rdx
  mov    %r12d,%esi
  mov    %rdx,0x68(%rsp)
  call   <printSubset@plt>
  mov    0x68(%rsp),%rdx
  mov    %r12d,%esi
  mov    %rbx,%rdi
  movl   $0x1,(%rdx)
  call   <printSubset@plt>
  subl   $0x1,0x8(%rsp)
  movl   $0x1,-0x4(%rbx,%r14,4)
  add    $0x1,%r14
  addl   $0x1,0xc(%rsp)
  jmp    L148
L128:
  mov    0x20(%rsp),%r13
  mov    0x2c(%rsp),%eax
  mov    %rbx,%rdi
  mov    %rax,%r15
  add    %r13,%rax
  lea    (%rbx,%rax,4),%r12
  mov    0x28(%rsp),%eax
  lea    0x1(%r15,%rax,1),%ebp
  sub    $0x1,%r15d
  mov    %ebp,%esi
  call   <printSubset@plt>
  movl   $0x1,(%r12)
  mov    %ebp,%esi
  mov    %rbx,%rdi
  call   <printSubset@plt>
  movl   $0x1,-0x4(%rbx,%r13,4)
  mov    0x18(%rsp),%r13
  jmp    L105
L25:
  mov    0x38(%rsp),%r12d
  lea    -0x2(%r13),%eax
  mov    %rbx,%rdi
  mov    %r15d,%r13d
  add    %rbp,%rax
  add    %r15d,%r12d
  lea    (%rbx,%rax,4),%r14
  mov    %r12d,%esi
  call   <printSubset@plt>
  movl   $0x1,(%r14)
  mov    %r12d,%esi
  mov    %rbx,%rdi
  call   <printSubset@plt>
  movl   $0x1,-0x4(%rbx,%rbp,4)
  mov    0x10(%rsp),%rbp
  jmp    L129
L8:
  mov    0x3c(%rsp),%eax
  mov    0x30(%rsp),%r14
  mov    %rbx,%r12
  mov    %rax,%rdi
  add    %r14,%rax
  lea    (%rbx,%rax,4),%rbx
  mov    0x88(%rsp),%eax
  lea    0x1(%rdi,%rax,1),%ebp
  mov    %r12,%rdi
  mov    %ebp,%esi
  call   <printSubset@plt>
  movl   $0x1,(%rbx)
  mov    %ebp,%esi
  mov    %r12,%rdi
  call   <printSubset@plt>
  mov    0x78(%rsp),%eax
  movl   $0x1,-0x4(%r12,%r14,4)
  mov    %eax,0x3c(%rsp)
  mov    0x80(%rsp),%rax
  mov    %rax,0x30(%rsp)
  jmp    L36
L172:
  mov    0x50(%rsp),%eax
  mov    0x40(%rsp),%r14
  mov    %r12,%rdi
  mov    %r12,%r15
  mov    %rax,%rsi
  add    %r14,%rax
  lea    (%r12,%rax,4),%rbx
  mov    0x98(%rsp),%eax
  lea    0x1(%rsi,%rax,1),%ebp
  mov    %ebp,%esi
  call   <printSubset@plt>
  movl   $0x1,(%rbx)
  mov    %ebp,%esi
  mov    %r12,%rdi
  call   <printSubset@plt>
  mov    0x7c(%rsp),%eax
  movl   $0x1,-0x4(%r12,%r14,4)
  mov    %eax,0x50(%rsp)
  mov    0x90(%rsp),%rax
  mov    %rax,0x40(%rsp)
  jmp    L164
L146:
  mov    0x54(%rsp),%eax
  mov    0x48(%rsp),%r14
  mov    %r15,%rdi
  mov    %rax,%rdx
  add    %r14,%rax
  lea    (%r15,%rax,4),%rbx
  mov    0xa8(%rsp),%eax
  lea    0x1(%rdx,%rax,1),%ebp
  mov    %ebp,%esi
  call   <printSubset@plt>
  movl   $0x1,(%rbx)
  mov    %ebp,%esi
  mov    %r15,%rdi
  call   <printSubset@plt>
  mov    0x8c(%rsp),%eax
  movl   $0x1,-0x4(%r15,%r14,4)
  mov    %eax,0x54(%rsp)
  mov    0xa0(%rsp),%rax
  mov    %rax,0x48(%rsp)
  jmp    L87
L109:
  mov    0x60(%rsp),%eax
  mov    0x58(%rsp),%r14
  mov    %r15,%rdi
  mov    %rax,%rcx
  add    %r14,%rax
  lea    (%r15,%rax,4),%rbx
  mov    0xac(%rsp),%eax
  lea    0x1(%rcx,%rax,1),%ebp
  mov    %ebp,%esi
  call   <printSubset@plt>
  movl   $0x1,(%rbx)
  mov    %ebp,%esi
  mov    %r15,%rdi
  call   <printSubset@plt>
  mov    0x9c(%rsp),%eax
  movl   $0x1,-0x4(%r15,%r14,4)
  mov    %eax,0x60(%rsp)
  mov    0xb0(%rsp),%rax
  mov    %rax,0x58(%rsp)
  jmp    L115
L117:
  movslq 0xc8(%rsp),%rdx
  mov    0x64(%rsp),%eax
  mov    %r15,%rdi
  mov    (%rsp),%r14d
  sub    %edx,%eax
  add    %rdx,%rax
  mov    %r14d,%esi
  lea    (%r15,%rax,4),%rbx
  call   <printSubset@plt>
  movl   $0x1,(%rbx)
L99:
  add    $0xd8,%rsp
  mov    %r14d,%esi
  mov    %r15,%rdi
  pop    %rbx
  pop    %rbp
  pop    %r12
  pop    %r13
  pop    %r14
  pop    %r15
  jmp    1050 <printSubset@plt>
```

assistant: ```c
void backtrackSubsets(int A[], int k, int n) {
  if (k == n) {
    printSubset(A, k);
  } else {
    A[k] = 0;
    backtrackSubsets(A, k + 1, n);
    A[k] = 1;
    backtrackSubsets(A, k + 1, n);
  }
}
```