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

```asm
<path>:
  endbr64
  lea    -0x2(%rsi),%r10d
  cmp    %r10d,%edi
  je     L616
  lea    -0x1(%rsi),%r9d
  mov    %edi,%eax
  cmp    %r9d,%edi
  je     L311
  cmp    %edi,%esi
  jle    L664
  push   %r15
  lea    0x2(%rdi),%edx
  add    $0x1,%eax
  xor    %r8d,%r8d
  push   %r14
  mov    %r9d,%ecx
  mov    %r8d,%r9d
  mov    %r10d,%r8d
  push   %r13
  push   %r12
  push   %rbp
  push   %rbx
  sub    $0x88,%rsp
  mov    %edx,0x14(%rsp)
  mov    %eax,0x10(%rsp)
L413:
  cmp    %r8d,0x10(%rsp)
  je     L440
  cmp    %ecx,0x10(%rsp)
  je     L519
  cmp    %esi,0x10(%rsp)
  jge    L330
  mov    0x14(%rsp),%edi
  mov    %r9d,0x2c(%rsp)
  xor    %r10d,%r10d
  mov    %ecx,%r11d
  mov    %r10d,%edx
  mov    %r8d,%r10d
  lea    0x1(%rdi),%eax
  mov    %edi,0x18(%rsp)
  mov    %eax,0x4(%rsp)
  mov    %esi,%eax
  sub    %edi,%eax
  and    $0xfffffffe,%eax
  lea    0x3(%rdi,%rax,1),%eax
  mov    %eax,0x48(%rsp)
L595:
  cmp    %r10d,0x18(%rsp)
  je     L224
  cmp    %r11d,0x18(%rsp)
  je     L294
  cmp    0x18(%rsp),%esi
  jle    L164
  mov    0x4(%rsp),%edi
  mov    %edx,0x30(%rsp)
  xor    %ecx,%ecx
  mov    %ecx,%r9d
  lea    0x1(%rdi),%eax
  mov    %edi,0x1c(%rsp)
  mov    %eax,0x8(%rsp)
  mov    %esi,%eax
  sub    %edi,%eax
  and    $0xfffffffe,%eax
  lea    0x3(%rdi,%rax,1),%eax
  mov    %eax,0x4c(%rsp)
L805:
  cmp    %r10d,0x1c(%rsp)
  je     L861
  cmp    %r11d,0x1c(%rsp)
  je     L450
  cmp    0x1c(%rsp),%esi
  jle    L687
  mov    0x8(%rsp),%ebx
  xor    %r8d,%r8d
  mov    %r9d,0x34(%rsp)
  mov    %r10d,%r9d
  mov    %r8d,%r10d
  lea    0x1(%rbx),%eax
  mov    %ebx,0x20(%rsp)
  mov    %eax,0xc(%rsp)
  mov    %esi,%eax
  sub    %ebx,%eax
  and    $0xfffffffe,%eax
  lea    0x3(%rbx,%rax,1),%eax
  mov    %eax,0x50(%rsp)
L744:
  cmp    0x20(%rsp),%r9d
  je     L778
  cmp    0x20(%rsp),%r11d
  je     L340
  cmp    0x20(%rsp),%esi
  jle    L161
  mov    0xc(%rsp),%edx
  mov    %esi,%eax
  xor    %r8d,%r8d
  mov    %r10d,0x38(%rsp)
  mov    %r11d,%r14d
  mov    %r9d,%r15d
  mov    %r8d,%r11d
  sub    %edx,%eax
  mov    %edx,0x24(%rsp)
  lea    0x1(%rdx),%ecx
  and    $0xfffffffe,%eax
  mov    %ecx,%r10d
  lea    0x3(%rdx,%rax,1),%eax
  mov    %eax,0x54(%rsp)
L26:
  cmp    0x24(%rsp),%r15d
  je     L740
  cmp    0x24(%rsp),%r14d
  je     L121
  cmp    0x24(%rsp),%esi
  jle    L356
  mov    %esi,%eax
  mov    %r10d,0x28(%rsp)
  lea    0x1(%r10),%r9d
  mov    %r15d,%r8d
  sub    %r10d,%eax
  mov    %r11d,0x3c(%rsp)
  mov    %r14d,%r15d
  xor    %ebp,%ebp
  and    $0xfffffffe,%eax
  mov    %r10d,0x40(%rsp)
  mov    %r9d,%r14d
  lea    0x3(%r10,%rax,1),%eax
  mov    %eax,0x58(%rsp)
L211:
  cmp    0x28(%rsp),%r8d
  je     L517
  cmp    0x28(%rsp),%r15d
  je     L209
  cmp    0x28(%rsp),%esi
  jle    L604
  mov    %esi,%eax
  lea    0x1(%r14),%r11d
  mov    %r14d,%ecx
  mov    %r14d,%r10d
  sub    %r14d,%eax
  xor    %r12d,%r12d
  mov    %ebp,%r9d
  and    $0xfffffffe,%eax
  lea    0x3(%r14,%rax,1),%eax
  mov    %r15d,%r14d
  mov    %eax,0x5c(%rsp)
L52:
  cmp    %ecx,%r8d
  je     L634
  cmp    %ecx,%r14d
  je     L184
  cmp    %ecx,%esi
  jle    L644
  mov    %esi,%eax
  lea    0x1(%r11),%edx
  mov    %r11d,%r13d
  xor    %ebx,%ebx
  sub    %r11d,%eax
  mov    %edx,%ebp
  mov    %r12d,%edx
  and    $0xfffffffe,%eax
  lea    0x2(%r11,%rax,1),%eax
  mov    %eax,0x44(%rsp)
L299:
  mov    %r13d,%r12d
  cmp    %r13d,%r8d
  je     L717
  cmp    %r13d,%r14d
  je     L264
  cmp    %r13d,%esi
  jle    L598
  mov    %esi,%eax
  xor    %r15d,%r15d
  sub    %ebp,%eax
  and    $0xfffffffe,%eax
  lea    0x2(%r13,%rax,1),%eax
  mov    %eax,0x60(%rsp)
L351:
  lea    0x1(%r12),%edi
  mov    %r11d,0x7c(%rsp)
  add    $0x2,%r12d
  mov    %ecx,0x78(%rsp)
  mov    %r10d,0x74(%rsp)
  mov    %edx,0x70(%rsp)
  mov    %r9d,0x6c(%rsp)
  mov    %r8d,0x68(%rsp)
  mov    %esi,0x64(%rsp)
  call   <path>
  mov    0x68(%rsp),%r8d
  mov    0x64(%rsp),%esi
  add    %eax,%r15d
  mov    0x6c(%rsp),%r9d
  mov    0x70(%rsp),%edx
  cmp    %r12d,%r8d
  mov    0x74(%rsp),%r10d
  mov    0x78(%rsp),%ecx
  mov    0x7c(%rsp),%r11d
  je     L868
  cmp    %r12d,%r14d
  je     L109
  cmp    0x60(%rsp),%r12d
  jne    L351
  add    %r15d,%ebx
L598:
  cmp    %ebp,%r8d
  je     L188
L359:
  cmp    %ebp,%r14d
  je     L810
  add    $0x2,%ebp
  add    $0x2,%r13d
  cmp    %r13d,0x44(%rsp)
  jne    L299
  mov    %edx,%r12d
  add    %ebx,%r12d
L644:
  cmp    %r11d,%r8d
  je     L796
L763:
  cmp    %r11d,%r14d
  je     L741
  add    $0x2,%r11d
  add    $0x2,%ecx
  cmp    %r11d,0x5c(%rsp)
  jne    L52
  mov    %r9d,%ebp
  mov    %r14d,%r15d
  mov    %r10d,%r14d
  add    %r12d,%ebp
L604:
  cmp    %r14d,%r8d
  je     L879
L282:
  cmp    %r14d,%r15d
  je     L719
  addl   $0x2,0x28(%rsp)
  add    $0x2,%r14d
  cmp    %r14d,0x58(%rsp)
  jne    L211
  mov    0x3c(%rsp),%r11d
  mov    0x40(%rsp),%r10d
  mov    %r15d,%r14d
  mov    %r8d,%r15d
  add    %ebp,%r11d
L356:
  cmp    %r10d,%r15d
  je     L374
L472:
  cmp    %r10d,%r14d
  je     L213
  addl   $0x2,0x24(%rsp)
  add    $0x2,%r10d
  cmp    %r10d,0x54(%rsp)
  jne    L26
  mov    0x38(%rsp),%r10d
  mov    %r11d,%r8d
  mov    %r15d,%r9d
  mov    %r14d,%r11d
  add    %r8d,%r10d
L161:
  cmp    0xc(%rsp),%r9d
  je     L335
L656:
  cmp    0xc(%rsp),%r11d
  je     L129
  addl   $0x2,0xc(%rsp)
  mov    0xc(%rsp),%eax
  addl   $0x2,0x20(%rsp)
  cmp    %eax,0x50(%rsp)
  jne    L744
  mov    %r10d,%r8d
  mov    %r9d,%r10d
  mov    0x34(%rsp),%r9d
  add    %r8d,%r9d
L687:
  cmp    0x8(%rsp),%r10d
  je     L186
L563:
  cmp    0x8(%rsp),%r11d
  je     L482
  addl   $0x2,0x8(%rsp)
  mov    0x8(%rsp),%eax
  addl   $0x2,0x1c(%rsp)
  cmp    %eax,0x4c(%rsp)
  jne    L805
  mov    0x30(%rsp),%edx
  add    %r9d,%edx
L164:
  cmp    0x4(%rsp),%r10d
  je     L39
L690:
  cmp    0x4(%rsp),%r11d
  je     L35
  addl   $0x2,0x4(%rsp)
  mov    0x4(%rsp),%eax
  addl   $0x2,0x18(%rsp)
  cmp    %eax,0x48(%rsp)
  jne    L595
  mov    0x2c(%rsp),%r9d
  mov    %r11d,%ecx
  mov    %r10d,%r8d
  add    %edx,%r9d
L330:
  mov    0x14(%rsp),%edi
  mov    %edi,%eax
  cmp    %edi,%r8d
  je     L444
L884:
  cmp    0x14(%rsp),%ecx
  je     L145
  addl   $0x2,0x14(%rsp)
  addl   $0x2,0x10(%rsp)
  cmp    %eax,%esi
  jg     L413
  mov    %r9d,%r8d
L15:
  add    $0x88,%rsp
  mov    %r8d,%eax
  pop    %rbx
  pop    %rbp
  pop    %r12
  pop    %r13
  pop    %r14
  pop    %r15
  ret
  cs nopw 0x0(%rax,%rax,1)
L264:
  add    $0x1,%ebx
  cmp    %ebp,%r8d
  jne    L359
  nopl   0x0(%rax)
L188:
  lea    0x2(%rbx,%rdx,1),%r12d
  cmp    %r11d,%r8d
  jne    L763
L796:
  mov    %r14d,%r15d
  mov    %r10d,%r14d
  lea    0x2(%r9,%r12,1),%ebp
  cmp    %r14d,%r8d
  jne    L282
L879:
  mov    0x3c(%rsp),%r11d
  mov    0x40(%rsp),%r10d
  mov    %r15d,%r14d
  mov    %r8d,%r15d
  lea    0x2(%rbp,%r11,1),%r11d
  cmp    %r10d,%r15d
  jne    L472
L374:
  mov    0x38(%rsp),%r10d
  mov    %r11d,%r8d
  mov    %r15d,%r9d
  mov    %r14d,%r11d
  lea    0x2(%r10,%r8,1),%r10d
  cmp    0xc(%rsp),%r9d
  jne    L656
L335:
  mov    %r10d,%r8d
  mov    %r9d,%r10d
  mov    0x34(%rsp),%r9d
  lea    0x2(%r8,%r9,1),%r9d
  cmp    0x8(%rsp),%r10d
  jne    L563
L186:
  mov    0x30(%rsp),%edx
  lea    0x2(%rdx,%r9,1),%edx
  cmp    0x4(%rsp),%r10d
  jne    L690
L39:
  mov    0x2c(%rsp),%r9d
  mov    0x14(%rsp),%edi
  mov    %r10d,%r8d
  mov    %r11d,%ecx
  lea    0x2(%rdx,%r9,1),%r9d
  mov    %edi,%eax
  cmp    %edi,%r8d
  jne    L884
L444:
  mov    %r9d,%r8d
  add    $0x2,%r8d
  jmp    L15
  nopl   0x0(%rax,%rax,1)
L810:
  lea    0x1(%rbx,%rdx,1),%r12d
  jmp    L644
L634:
  add    $0x2,%r12d
  jmp    L644
L741:
  mov    %r14d,%r15d
  lea    0x1(%r9,%r12,1),%ebp
  mov    %r10d,%r14d
  jmp    L604
L184:
  add    $0x1,%r12d
  jmp    L644
  nopl   0x0(%rax)
L109:
  lea    0x1(%rbx,%r15,1),%ebx
  jmp    L598
L517:
  add    $0x2,%ebp
  jmp    L604
L209:
  add    $0x1,%ebp
  jmp    L604
L719:
  mov    0x3c(%rsp),%r11d
  mov    %r15d,%r14d
  mov    0x40(%rsp),%r10d
  mov    %r8d,%r15d
  lea    0x1(%rbp,%r11,1),%r11d
  jmp    L356
  nopl   0x0(%rax)
L868:
  lea    0x2(%rbx,%r15,1),%ebx
  jmp    L598
  nopw   0x0(%rax,%rax,1)
L717:
  add    $0x2,%ebx
  jmp    L598
L740:
  add    $0x2,%r11d
  jmp    L356
L121:
  add    $0x1,%r11d
  jmp    L356
L213:
  mov    0x38(%rsp),%r10d
  mov    %r11d,%r8d
  mov    %r15d,%r9d
  mov    %r14d,%r11d
  lea    0x1(%r10,%r8,1),%r10d
  jmp    L161
L340:
  add    $0x1,%r10d
  jmp    L161
L129:
  mov    %r10d,%r8d
  mov    %r9d,%r10d
  mov    0x34(%rsp),%r9d
  lea    0x1(%r8,%r9,1),%r9d
  jmp    L687
L778:
  add    $0x2,%r10d
  jmp    L161
L224:
  add    $0x2,%edx
  jmp    L164
L482:
  mov    0x30(%rsp),%edx
  lea    0x1(%rdx,%r9,1),%edx
  jmp    L164
L450:
  add    $0x1,%r9d
  jmp    L687
L861:
  add    $0x2,%r9d
  jmp    L687
L294:
  add    $0x1,%edx
  jmp    L164
L35:
  mov    0x2c(%rsp),%r9d
  mov    %r11d,%ecx
  mov    %r10d,%r8d
  lea    0x1(%rdx,%r9,1),%r9d
  jmp    L330
L145:
  mov    %r9d,%r8d
  add    $0x1,%r8d
  jmp    L15
L519:
  add    $0x1,%r9d
  jmp    L330
L440:
  add    $0x2,%r9d
  jmp    L330
L616:
  mov    $0x2,%r8d
L111:
  mov    %r8d,%eax
  ret
L311:
  mov    $0x1,%r8d
  jmp    L111
L664:
  xor    %r8d,%r8d
  jmp    L111
```

assistant: ```c
int path(int i, int j) {
  if (i == j - 2) {
    return 2;
  }
  if (i == j - 1) {
    return 1;
  }
  if (i >= j) {
    return 0;
  }
  return path(i + 1, j) + path(i + 2, j);
}
```