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

```asm
<main>:
  endbr64
  push   %r15
  push   %r14
  push   %r13
  push   %r12
  push   %rbp
  push   %rbx
  sub    $0x78,%rsp
  mov    %fs:0x28,%rax
  mov    %rax,0x68(%rsp)
  movabs $0x200000001,%rax
  lea    0x20(%rsp),%rbx
  lea    0x1c(%rsp),%r12
  movl   $0x0,0x1c(%rsp)
  mov    %r12,%rsi
  mov    %rbx,%rdi
  mov    %rax,0x20(%rsp)
  movabs $0x400000003,%rax
  mov    %rax,0x28(%rsp)
  movabs $0x600000005,%rax
  mov    %rax,0x30(%rsp)
  movabs $0x800000007,%rax
  mov    %rax,0x38(%rsp)
  movabs $0xa00000009,%rax
  mov    %rax,0x40(%rsp)
  movabs $0xc0000000b,%rax
  mov    %rax,0x48(%rsp)
  movabs $0xe0000000d,%rax
  mov    %rax,0x50(%rsp)
  movabs $0x100000000f,%rax
  mov    %rax,0x58(%rsp)
  call   <get_2_tupples@plt>
  lea    0x60(%rsp),%rcx
  xor    %edx,%edx
  mov    %rax,%rbp
  mov    %rbx,%rax
  nopw   0x0(%rax,%rax,1)
L20:
  add    (%rax),%edx
  add    $0x4,%rax
  cmp    %rcx,%rax
  jne    L20
  test   %edx,%edx
  lea    0x3(%rdx),%r14d
  lea    D19(%rip),%rdi
  cmovns %edx,%r14d
  lea    D14(%rip),%r15
  sar    $0x2,%r14d
  mov    %r14d,%esi
  call   <printf@plt>
  mov    $0x2,%esi
  mov    %r15,%rdi
  call   <printf@plt>
  mov    0x1c(%rsp),%esi
  mov    $0x2,%edx
  mov    %rbp,%rdi
  call   <display_tupples@plt>
  mov    $0x2,%ecx
L11:
  mov    0x1c(%rsp),%edx
  mov    %r12,%r9
  mov    %r14d,%r8d
  mov    %rbp,%rsi
  mov    %rbp,%r13
  mov    %rbx,%rdi
  mov    %ecx,0xc(%rsp)
  call   <get_next_size_tupples@plt>
  mov    %r13,%rdi
  mov    %rax,%rbp
  call   <free@plt>
  mov    0xc(%rsp),%ecx
  mov    %r15,%rdi
  lea    0x1(%rcx),%r13d
  mov    %r13d,%esi
  call   <printf@plt>
  mov    0x1c(%rsp),%esi
  mov    %r13d,%edx
  mov    %rbp,%rdi
  call   <display_tupples@plt>
  mov    $0x3,%ecx
  cmp    $0x4,%r13d
  jne    L11
  mov    0x1c(%rsp),%esi
  mov    $0x4,%ecx
  mov    $0x4,%edx
  mov    %rbp,%rdi
  call   <get_all_solutions@plt>
  test   %rbp,%rbp
  je     L10
  mov    %rbp,%rdi
  call   <free@plt>
L10:
  mov    0x68(%rsp),%rax
  sub    %fs:0x28,%rax
  jne    L19
  add    $0x78,%rsp
  xor    %eax,%eax
  pop    %rbx
  pop    %rbp
  pop    %r12
  pop    %r13
  pop    %r14
  pop    %r15
  ret
L19:
  call   <__stack_chk_fail@plt>
```

tool_calls: name: extract_symbolic_data
arguments: data_tag: D19
data_type: string
name: extract_symbolic_data
arguments: data_tag: D14
data_type: string

tool: D19: Sum = %d


tool: D14: Cardinality = %d


assistant: ```c
int main() {
  int seq[16] = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16};
  int tupple_array_size = 0;
  int cardinality = 2;
  int *tupples_n = get_2_tupples(seq, &tupple_array_size);
  int *tupples_nplus1 = NULL;
  int *final_tupples = NULL;
  int sum = 0;
  int final_cardinality = 4;
  int num_tupples_in_sol = 4;
  int seq_sz = sizeof(seq) / sizeof(seq[0]);
  for (int i = 0; i < seq_sz; i++) {
    sum += seq[i];
  }
  sum /= final_cardinality;
  printf("Sum = %d\n", sum);
  printf("Cardinality = %d\n", cardinality);
  display_tupples(tupples_n, tupple_array_size, cardinality);
  while (cardinality != final_cardinality) {
    tupples_nplus1 = get_next_size_tupples(seq, tupples_n, tupple_array_size, cardinality, sum, &tupple_array_size);
    free(tupples_n);
    tupples_n = tupples_nplus1;
    cardinality++;
    printf("Cardinality = %d\n", cardinality);
    display_tupples(tupples_n, tupple_array_size, cardinality);
  }
  get_all_solutions(tupples_nplus1, tupple_array_size, final_cardinality, num_tupples_in_sol);
  if (tupples_nplus1) {
    free(tupples_nplus1);
  }
}
```