user: Please show me the C implementation that matches the assembly code listed below:

```asm
<newton>:
  endbr64
  test   %edi,%edi
  je     L251
  cmp    %esi,%edi
  je     L251
  xor    %edx,%edx
  test   %esi,%esi
  cmovns %esi,%edx
  cmp    %edi,%edx
  jge    L247
  test   %esi,%esi
  jle    L247
  push   %r15
  lea    0x1(%rsi),%eax
  mov    %esi,%r8d
  push   %r14
  push   %r13
  push   %r12
  push   %rbp
  push   %rbx
  sub    $0x88,%rsp
  mov    %edi,(%rsp)
  mov    %eax,0x68(%rsp)
  movl   $0x0,0xc(%rsp)
L570:
  mov    (%rsp),%eax
  mov    %eax,%r9d
  sub    $0x1,%eax
  mov    %eax,(%rsp)
  cmp    %r9d,%r8d
  je     L612
  cmp    $0x1,%r8d
  jle    L350
  cmp    %r9d,%r8d
  jge    L350
  lea    -0x2(%r8),%r11d
  lea    -0x2(%r9),%r10d
  mov    %r9d,0x48(%rsp)
  mov    %r8d,%ecx
  lea    -0x1(%r8),%eax
  mov    %r11d,%r9d
  mov    %r10d,%r11d
  movl   $0x0,0x10(%rsp)
  mov    %eax,0x6c(%rsp)
  cmp    %r9d,%r11d
  je     L392
L81:
  test   %r9d,%r9d
  jle    L271
  cmp    %r9d,%r11d
  jle    L271
  lea    -0x3(%rcx),%eax
  movl   $0x0,0x14(%rsp)
  mov    %r11d,%edx
  mov    %eax,0x44(%rsp)
  mov    %r9d,0x4(%rsp)
  mov    %r11d,0x4c(%rsp)
L514:
  mov    0x44(%rsp),%eax
  sub    $0x1,%edx
  cmp    %eax,%edx
  je     L482
  jle    L50
  test   %eax,%eax
  jle    L50
  lea    -0x4(%rcx),%r11d
  mov    %edx,0x50(%rsp)
  mov    %edx,%ebx
  mov    %ecx,%r14d
  movl   $0x0,0x1c(%rsp)
  mov    %r11d,%edx
L443:
  sub    $0x1,%ebx
  cmp    %edx,%ebx
  je     L480
  test   %edx,%edx
  jle    L502
  cmp    %edx,%ebx
  jle    L502
  movl   $0x0,0x18(%rsp)
  lea    -0x5(%r14),%r9d
  mov    %ebx,%r13d
  mov    %ebx,0x54(%rsp)
  mov    %edx,0x8(%rsp)
L111:
  sub    $0x1,%r13d
  cmp    %r9d,%r13d
  je     L475
  jle    L532
  test   %r9d,%r9d
  jle    L532
  lea    -0x6(%r14),%r15d
  mov    %r13d,%ebx
  mov    %r13d,%r11d
  mov    %r14d,%r10d
  movl   $0x0,0x20(%rsp)
L245:
  sub    $0x1,%ebx
  cmp    %r15d,%ebx
  je     L67
  jle    L179
  test   %r15d,%r15d
  jle    L179
  lea    -0x7(%r10),%r14d
  xor    %r13d,%r13d
  mov    %r15d,%ecx
  mov    %ebx,%ebp
  mov    %ebx,%r8d
  mov    %r13d,%edx
  mov    %r14d,%r15d
L141:
  sub    $0x1,%ebp
  cmp    %r15d,%ebp
  je     L363
  jle    L204
  test   %r15d,%r15d
  jle    L204
  mov    %r10d,%eax
  lea    -0x8(%r10),%r14d
  mov    %ebp,%r12d
  mov    %ebp,%r10d
  xor    %r13d,%r13d
  mov    %eax,%ebp
L632:
  sub    $0x1,%r12d
  cmp    %r14d,%r12d
  je     L214
  jle    L31
  test   %r14d,%r14d
  jle    L31
  mov    %r12d,0x58(%rsp)
  lea    -0x9(%rbp),%esi
  mov    %r12d,%edi
  xor    %ebx,%ebx
  mov    %r13d,0x5c(%rsp)
  mov    %r8d,%r12d
  mov    %r10d,%r13d
  mov    %r15d,0x60(%rsp)
  mov    %edx,%r15d
  mov    %ebp,0x64(%rsp)
  mov    %r11d,%ebp
L385:
  sub    $0x1,%edi
  mov    %ecx,0x7c(%rsp)
  mov    %r9d,0x78(%rsp)
  mov    %esi,0x74(%rsp)
  mov    %edi,0x70(%rsp)
  call   <newton>
  mov    0x70(%rsp),%edi
  mov    0x74(%rsp),%esi
  add    %eax,%ebx
  mov    0x78(%rsp),%r9d
  mov    0x7c(%rsp),%ecx
  cmp    %r14d,%edi
  je     L216
  jg     L385
  mov    %ebp,%r11d
  mov    %r12d,%r8d
  mov    %r13d,%r10d
  mov    %r15d,%edx
  mov    0x58(%rsp),%r12d
  mov    0x5c(%rsp),%r13d
  mov    0x60(%rsp),%r15d
  mov    0x64(%rsp),%ebp
L31:
  add    0x40(%rsp),%r13d
  cmp    %r15d,%r12d
  je     L416
L433:
  jg     L632
  mov    %ebp,%eax
  mov    %r10d,%ebp
  mov    %eax,%r10d
L204:
  add    0x34(%rsp),%edx
  cmp    %ecx,%ebp
  je     L235
  jg     L141
  mov    %r8d,%ebx
  mov    %ecx,%r15d
L179:
  mov    0x30(%rsp),%esi
  add    %esi,0x20(%rsp)
  cmp    %r9d,%ebx
  je     L398
L596:
  jg     L245
  mov    %r11d,%r13d
  mov    %r10d,%r14d
L532:
  mov    0x2c(%rsp),%esi
  add    %esi,0x18(%rsp)
  cmp    0x8(%rsp),%r13d
  je     L618
L309:
  jg     L111
  mov    0x54(%rsp),%ebx
  mov    0x8(%rsp),%edx
L502:
  mov    0x28(%rsp),%edi
  add    %edi,0x1c(%rsp)
  cmp    0x44(%rsp),%ebx
  je     L592
L262:
  jg     L443
  mov    0x50(%rsp),%edx
  mov    %r14d,%ecx
L50:
  mov    0x3c(%rsp),%esi
  add    %esi,0x14(%rsp)
  cmp    0x4(%rsp),%edx
  je     L459
L24:
  jg     L514
  mov    0x4(%rsp),%r9d
  mov    0x4c(%rsp),%r11d
L271:
  mov    0x38(%rsp),%edi
  add    %edi,0x10(%rsp)
  cmp    %r11d,0x6c(%rsp)
  je     L25
L72:
  lea    0x1(%r11),%edx
  lea    -0x1(%r11),%eax
  cmp    %edx,%ecx
  jge    L296
  mov    %eax,%r11d
  cmp    %r9d,%r11d
  jne    L81
L392:
  movl   $0x1,0x38(%rsp)
  mov    0x38(%rsp),%edi
  add    %edi,0x10(%rsp)
  cmp    %r11d,0x6c(%rsp)
  jne    L72
L25:
  mov    0x10(%rsp),%eax
  mov    0x48(%rsp),%r9d
  mov    %ecx,%r8d
  add    $0x1,%eax
  mov    %eax,0x24(%rsp)
  mov    0x24(%rsp),%esi
  add    %esi,0xc(%rsp)
  cmp    %r9d,0x68(%rsp)
  jne    L90
L582:
  mov    0xc(%rsp),%eax
  add    $0x1,%eax
L74:
  add    $0x88,%rsp
  pop    %rbx
  pop    %rbp
  pop    %r12
  pop    %r13
  pop    %r14
  pop    %r15
  ret
L235:
  lea    0x1(%rdx),%eax
  mov    %r8d,%ebx
  mov    %ecx,%r15d
  mov    %eax,0x30(%rsp)
  mov    0x30(%rsp),%esi
  add    %esi,0x20(%rsp)
  cmp    %r9d,%ebx
  jne    L596
L398:
  mov    0x20(%rsp),%eax
  mov    %r11d,%r13d
  mov    %r10d,%r14d
  add    $0x1,%eax
  mov    %eax,0x2c(%rsp)
  mov    0x2c(%rsp),%esi
  add    %esi,0x18(%rsp)
  cmp    0x8(%rsp),%r13d
  jne    L309
L618:
  mov    0x18(%rsp),%eax
  mov    0x54(%rsp),%ebx
  mov    0x8(%rsp),%edx
  add    $0x1,%eax
  mov    %eax,0x28(%rsp)
  mov    0x28(%rsp),%edi
  add    %edi,0x1c(%rsp)
  cmp    0x44(%rsp),%ebx
  jne    L262
L592:
  mov    0x1c(%rsp),%eax
  mov    0x50(%rsp),%edx
  mov    %r14d,%ecx
  add    $0x1,%eax
  mov    %eax,0x3c(%rsp)
  mov    0x3c(%rsp),%esi
  add    %esi,0x14(%rsp)
  cmp    0x4(%rsp),%edx
  jne    L24
L459:
  mov    0x14(%rsp),%eax
  mov    0x4(%rsp),%r9d
  mov    0x4c(%rsp),%r11d
  add    $0x1,%eax
  mov    %eax,0x38(%rsp)
  jmp    L271
L363:
  movl   $0x1,0x34(%rsp)
  jmp    L204
L67:
  movl   $0x1,0x30(%rsp)
  jmp    L179
  nopl   0x0(%rax,%rax,1)
L216:
  mov    %r12d,%r8d
  mov    %r15d,%edx
  mov    0x58(%rsp),%r12d
  mov    0x60(%rsp),%r15d
  lea    0x1(%rbx),%eax
  mov    %ebp,%r11d
  mov    %r13d,%r10d
  mov    0x64(%rsp),%ebp
  mov    %eax,0x40(%rsp)
  mov    0x5c(%rsp),%r13d
  add    0x40(%rsp),%r13d
  cmp    %r15d,%r12d
  jne    L433
L416:
  mov    %ebp,%eax
  mov    %r10d,%ebp
  mov    %eax,%r10d
  lea    0x1(%r13),%eax
  mov    %eax,0x34(%rsp)
  jmp    L204
  nopl   0x0(%rax)
L214:
  movl   $0x1,0x40(%rsp)
  jmp    L31
L475:
  movl   $0x1,0x2c(%rsp)
  jmp    L532
L480:
  movl   $0x1,0x28(%rsp)
  jmp    L502
L482:
  movl   $0x1,0x3c(%rsp)
  jmp    L50
L296:
  mov    0x48(%rsp),%r9d
  mov    %ecx,%r8d
L350:
  mov    0x24(%rsp),%esi
  add    %esi,0xc(%rsp)
  cmp    %r9d,0x68(%rsp)
  je     L582
L90:
  cmp    (%rsp),%r8d
  jl     L570
  jmp    L74
L612:
  movl   $0x1,0x24(%rsp)
  jmp    L350
L251:
  mov    $0x1,%eax
  ret
L247:
  ret
```

assistant: ```c
newton(int n, int k) {
  if (n == 0 || n == k) {
    return 1;
  }
  if (n > 0 && k > 0 && n > k) {
    return newton(n - 1, k - 1) + newton(n - 1, k);
  }
}
```