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

```asm
<f>:
  endbr64
  lea    -0x1(%rdi),%ecx
  cmp    $0x1,%ecx
  jbe    L480
  cmp    $0x3,%edi
  je     L613
  push   %r15
  mov    %ecx,%esi
  push   %r14
  push   %r13
  push   %r12
  push   %rbp
  push   %rbx
  sub    $0x68,%rsp
  movl   $0x1,0x24(%rsp)
  movl   $0x0,0xc(%rsp)
  cmp    $0x2,%esi
  je     L281
L640:
  cmp    $0x3,%esi
  je     L102
  lea    -0x2(%rsi),%eax
  movl   $0x0,0x10(%rsp)
  mov    %eax,0x20(%rsp)
  mov    0x20(%rsp),%eax
  movl   $0x1,0x28(%rsp)
  mov    %esi,0x38(%rsp)
  cmp    $0x1,%eax
  je     L397
L536:
  cmp    $0x2,%eax
  je     L520
  mov    %eax,%r10d
  movl   $0x0,0x14(%rsp)
  movl   $0x1,0x2c(%rsp)
  cmp    $0x2,%r10d
  je     L2
L246:
  cmp    $0x3,%r10d
  je     L303
  lea    -0x2(%r10),%r11d
  movl   $0x0,0x18(%rsp)
  movl   $0x1,0x30(%rsp)
  mov    %r10d,0x3c(%rsp)
  cmp    $0x1,%r11d
  je     L72
L76:
  cmp    $0x2,%r11d
  je     L23
  mov    %r11d,%r9d
  movl   $0x0,0x1c(%rsp)
  movl   $0x1,0x34(%rsp)
  mov    %r11d,0x40(%rsp)
  cmp    $0x2,%r9d
  je     L596
L178:
  cmp    $0x3,%r9d
  je     L609
  lea    -0x2(%r9),%r14d
  xor    %r10d,%r10d
  mov    $0x1,%ecx
  cmp    $0x1,%r14d
  je     L255
L133:
  cmp    $0x2,%r14d
  je     L95
  xor    %r15d,%r15d
  mov    $0x1,%ebx
  mov    %r14d,%r13d
  mov    %r14d,%r8d
  mov    %r15d,%esi
  mov    %ebx,%r15d
  cmp    $0x2,%r13d
  je     L146
L602:
  cmp    $0x3,%r13d
  je     L227
  mov    %r15d,%edi
  mov    %r13d,%eax
  lea    -0x2(%r13),%r12d
  mov    %esi,%r15d
  mov    %r10d,%r13d
  xor    %ebx,%ebx
  mov    $0x1,%ebp
  mov    %eax,%r10d
  mov    %edi,%esi
  cmp    $0x1,%r12d
  je     L220
L272:
  cmp    $0x2,%r12d
  je     L321
  mov    %r12d,%edi
  mov    $0x1,%edx
  mov    %ebp,0x44(%rsp)
  xor    %r14d,%r14d
  mov    %r12d,0x48(%rsp)
  mov    %edx,%ebp
  mov    %ebx,%r12d
  mov    %edi,%ebx
L62:
  mov    %ebx,%edi
  mov    %r10d,0x5c(%rsp)
  sub    $0x3,%ebx
  mov    %r8d,0x58(%rsp)
  mov    %r9d,0x54(%rsp)
  mov    %esi,0x50(%rsp)
  mov    %ecx,0x4c(%rsp)
  call   <f>
  mov    0x4c(%rsp),%ecx
  mov    0x50(%rsp),%esi
  imul   %ebp,%eax
  mov    0x54(%rsp),%r9d
  mov    0x58(%rsp),%r8d
  mov    0x5c(%rsp),%r10d
  mov    %eax,%edi
  mov    %ebp,%eax
  neg    %ebp
  cmp    $0x1,%ebx
  lea    (%r14,%rdi,2),%r14d
  jbe    L359
  cmp    $0x2,%ebx
  jne    L62
  mov    %r12d,%ebx
  neg    %eax
  mov    0x44(%rsp),%ebp
  mov    0x48(%rsp),%r12d
  lea    (%r14,%rax,4),%eax
L241:
  imul   %ebp,%eax
  mov    %ebp,%edx
  neg    %edx
  lea    (%rbx,%rax,2),%ebx
  lea    -0x2(%r12),%eax
  cmp    $0x1,%eax
  jbe    L343
  sub    $0x3,%r12d
  cmp    $0x1,%r12d
  je     L318
  mov    %edx,%ebp
  cmp    $0x1,%r12d
  jne    L272
L220:
  mov    $0x2,%eax
  jmp    L241
L343:
  mov    %r10d,%eax
  mov    %esi,%edi
  mov    %r13d,%r10d
  mov    %r15d,%esi
  mov    %eax,%r13d
  mov    %edi,%r15d
  lea    (%rbx,%rdx,2),%eax
  nopl   (%rax)
L106:
  imul   %r15d,%eax
  mov    %r15d,%edx
  sub    $0x3,%r13d
  neg    %edx
  lea    (%rsi,%rax,2),%esi
  cmp    $0x1,%r13d
  jbe    L426
  cmp    $0x2,%r13d
  je     L429
  mov    %edx,%r15d
  cmp    $0x2,%r13d
  jne    L602
L146:
  mov    $0x2,%eax
  jmp    L106
L227:
  mov    %r15d,%ebx
  lea    (%rsi,%r15,8),%eax
  mov    %r8d,%r14d
  neg    %ebx
  lea    (%rax,%rbx,2),%eax
L243:
  imul   %ecx,%eax
  mov    %ecx,%edx
  neg    %edx
  lea    (%r10,%rax,2),%r10d
  lea    -0x2(%r14),%eax
  cmp    $0x1,%eax
  jbe    L208
  sub    $0x3,%r14d
  cmp    $0x1,%r14d
  je     L201
  mov    %edx,%ecx
  cmp    $0x1,%r14d
  jne    L133
L255:
  mov    $0x2,%eax
  jmp    L243
L429:
  mov    %r8d,%r14d
  lea    (%rsi,%rdx,4),%eax
  jmp    L243
L95:
  mov    %ecx,%ebp
  lea    (%r10,%rcx,8),%eax
  neg    %ebp
  lea    (%rax,%rbp,2),%eax
L348:
  mov    0x34(%rsp),%edi
  mov    0x1c(%rsp),%esi
  sub    $0x3,%r9d
  imul   %edi,%eax
  mov    %edi,%edx
  neg    %edx
  lea    (%rsi,%rax,2),%eax
  mov    %eax,0x1c(%rsp)
  cmp    $0x1,%r9d
  jbe    L467
  cmp    $0x2,%r9d
  je     L89
  mov    %edx,0x34(%rsp)
  cmp    $0x2,%r9d
  jne    L178
L596:
  mov    $0x2,%eax
  jmp    L348
L201:
  lea    (%r10,%rdx,4),%eax
  jmp    L348
L426:
  mov    %r8d,%r14d
  lea    (%rsi,%rdx,2),%eax
  jmp    L243
  nopl   0x0(%rax,%rax,1)
L359:
  neg    %eax
  mov    %r12d,%ebx
  mov    0x44(%rsp),%ebp
  mov    0x48(%rsp),%r12d
  lea    (%r14,%rax,2),%eax
  jmp    L241
L89:
  mov    0x1c(%rsp),%eax
  mov    0x40(%rsp),%r11d
  lea    (%rax,%rdx,4),%eax
L69:
  mov    0x30(%rsp),%edi
  imul   %edi,%eax
  mov    %edi,%edx
  mov    0x18(%rsp),%edi
  neg    %edx
  lea    (%rdi,%rax,2),%eax
  mov    %eax,0x18(%rsp)
  lea    -0x2(%r11),%eax
  cmp    $0x1,%eax
  jbe    L647
  sub    $0x3,%r11d
  cmp    $0x1,%r11d
  je     L122
  mov    %edx,0x30(%rsp)
  cmp    $0x1,%r11d
  jne    L76
L72:
  mov    $0x2,%eax
  jmp    L69
L609:
  mov    0x34(%rsp),%eax
  mov    0x1c(%rsp),%ecx
  mov    0x40(%rsp),%r11d
  lea    (%rcx,%rax,8),%edx
  neg    %eax
  lea    (%rdx,%rax,2),%eax
  jmp    L69
L208:
  lea    (%r10,%rdx,2),%eax
  jmp    L348
  nopl   0x0(%rax)
L321:
  mov    %r10d,%eax
  mov    %esi,%edi
  mov    %r13d,%r10d
  mov    %r15d,%esi
  mov    %eax,%r13d
  lea    (%rbx,%rbp,8),%eax
  neg    %ebp
  mov    %edi,%r15d
  lea    (%rax,%rbp,2),%eax
  jmp    L106
  xchg   %ax,%ax
L318:
  mov    %r10d,%eax
  mov    %esi,%edi
  mov    %r13d,%r10d
  mov    %r15d,%esi
  mov    %eax,%r13d
  mov    %edi,%r15d
  lea    (%rbx,%rdx,4),%eax
  jmp    L106
L23:
  mov    0x30(%rsp),%eax
  mov    0x18(%rsp),%edi
  mov    0x3c(%rsp),%r10d
  lea    (%rdi,%rax,8),%edx
  neg    %eax
  lea    (%rdx,%rax,2),%eax
L430:
  mov    0x2c(%rsp),%edi
  mov    0x14(%rsp),%esi
  sub    $0x3,%r10d
  imul   %edi,%eax
  mov    %edi,%edx
  neg    %edx
  lea    (%rsi,%rax,2),%eax
  mov    %eax,0x14(%rsp)
  cmp    $0x1,%r10d
  jbe    L193
  cmp    $0x2,%r10d
  je     L235
  mov    %edx,0x2c(%rsp)
  cmp    $0x2,%r10d
  jne    L246
L2:
  mov    $0x2,%eax
  jmp    L430
L122:
  mov    0x18(%rsp),%eax
  mov    0x3c(%rsp),%r10d
  lea    (%rax,%rdx,4),%eax
  jmp    L430
L467:
  mov    0x40(%rsp),%r11d
  lea    (%rax,%rdx,2),%eax
  jmp    L69
L647:
  mov    0x18(%rsp),%eax
  mov    0x3c(%rsp),%r10d
  lea    (%rax,%rdx,2),%eax
  jmp    L430
L235:
  mov    0x14(%rsp),%eax
  lea    (%rax,%rdx,4),%eax
L105:
  mov    0x28(%rsp),%edi
  mov    0x10(%rsp),%ebx
  imul   %edi,%eax
  mov    %edi,%edx
  neg    %edx
  lea    (%rbx,%rax,2),%eax
  mov    %eax,0x10(%rsp)
  mov    0x20(%rsp),%eax
  sub    $0x2,%eax
  cmp    $0x1,%eax
  jbe    L91
  subl   $0x3,0x20(%rsp)
  mov    0x20(%rsp),%eax
  cmp    $0x1,%eax
  je     L44
  mov    0x20(%rsp),%eax
  mov    %edx,0x28(%rsp)
  cmp    $0x1,%eax
  jne    L536
L397:
  mov    $0x2,%eax
  jmp    L105
L193:
  lea    (%rax,%rdx,2),%eax
  jmp    L105
L44:
  mov    0x10(%rsp),%eax
  mov    0x38(%rsp),%esi
  lea    (%rax,%rdx,4),%eax
L581:
  mov    0x24(%rsp),%edi
  sub    $0x3,%esi
  imul   %edi,%eax
  mov    %edi,%edx
  mov    0xc(%rsp),%edi
  neg    %edx
  lea    (%rdi,%rax,2),%eax
  mov    %eax,0xc(%rsp)
  cmp    $0x1,%esi
  jbe    L668
  cmp    $0x2,%esi
  je     L28
  mov    %edx,0x24(%rsp)
  cmp    $0x2,%esi
  jne    L640
L281:
  mov    $0x2,%eax
  jmp    L581
  nopl   0x0(%rax)
L303:
  mov    0x2c(%rsp),%eax
  mov    0x14(%rsp),%esi
  lea    (%rsi,%rax,8),%edx
  neg    %eax
  lea    (%rdx,%rax,2),%eax
  jmp    L105
L520:
  mov    0x28(%rsp),%eax
  mov    0x10(%rsp),%ebx
  mov    0x38(%rsp),%esi
  lea    (%rbx,%rax,8),%edx
  neg    %eax
  lea    (%rdx,%rax,2),%eax
  jmp    L581
L28:
  mov    0xc(%rsp),%eax
  lea    (%rax,%rdx,4),%eax
L491:
  add    $0x68,%rsp
  pop    %rbx
  pop    %rbp
  pop    %r12
  pop    %r13
  pop    %r14
  pop    %r15
  ret
L102:
  mov    0x24(%rsp),%eax
  mov    0xc(%rsp),%ecx
  add    $0x68,%rsp
  pop    %rbx
  pop    %rbp
  lea    (%rcx,%rax,8),%edx
  neg    %eax
  pop    %r12
  pop    %r13
  lea    (%rdx,%rax,2),%eax
  pop    %r14
  pop    %r15
  ret
L480:
  mov    $0x2,%eax
  ret
L613:
  mov    $0x4,%eax
  ret
L91:
  mov    0x10(%rsp),%eax
  mov    0x38(%rsp),%esi
  lea    (%rax,%rdx,2),%eax
  jmp    L581
L668:
  lea    (%rax,%rdx,2),%eax
  jmp    L491
```

assistant: ```c
uint64_t f(uint32_t n) {
  if (n == 1 || n == 2)
    return 2;
  else if (n == 3)
    return 4;
  else
    return (2 * f(n - 1) - f(n - 3));
}
```