user: Converte this assembly snippet into its equivalent C code:

```asm
<main>:
  endbr64
  push   %r15
  mov    $0xa,%esi
  mov    $0x1,%edi
  push   %r14
  push   %r13
  mov    $0x1,%r13d
  push   %r12
  xor    %r12d,%r12d
  push   %rbp
  push   %rbx
  sub    $0x18,%rsp
  call   <vector@plt>
  mov    $0xa,%esi
  mov    $0x1,%edi
  mov    %rax,%r14
  call   <vector@plt>
  lea    D126(%rip),%rdi
  mov    %rax,%rbx
  mov    %rax,0x8(%rsp)
  call   <puts@plt>
  lea    D39(%rip),%rdi
  lea    0x4(%rbx),%rbp
  call   <puts@plt>
  lea    D35(%rip),%rcx
  xor    %eax,%eax
  lea    D50(%rip),%rdx
  lea    D54(%rip),%rsi
  lea    D114(%rip),%rdi
  call   <printf@plt>
  lea    0x4(%r14),%rbx
  jmp    L11
  nopl   0x0(%rax)
L0:
  pxor   %xmm0,%xmm0
  pxor   %xmm1,%xmm1
  xor    %esi,%esi
  mov    $0x2,%eax
  lea    D59(%rip),%rdi
  cvtss2sd (%rbx),%xmm0
  cvtss2sd 0x0(%rbp),%xmm1
  mov    $0x1,%r12d
  call   <printf@plt>
L56:
  add    $0x1,%r13d
  add    $0x4,%rbp
  add    $0x4,%rbx
  cmp    $0xb,%r13d
  je     L32
L11:
  pxor   %xmm0,%xmm0
  pxor   %xmm1,%xmm1
  mov    %rbp,%rcx
  mov    %rbx,%rdx
  cvtsi2sd %r13d,%xmm0
  mulsd  D110(%rip),%xmm0
  mov    D31(%rip),%rax
  mov    $0x6,%esi
  lea    D81(%rip),%rdi
  cvtsd2ss %xmm0,%xmm1
  xorpd  D53(%rip),%xmm0
  movss  %xmm1,0x0(%rbp)
  cvtsd2ss %xmm0,%xmm0
  movss  %xmm0,(%rbx)
  movq   %rax,%xmm0
  call   <qroot@plt>
  test   %r12d,%r12d
  je     L0
  movl   $0x0,0x4(%rsp)
  mov    $0x1,%r15d
  jmp    L7
  nopw   0x0(%rax,%rax,1)
L83:
  add    $0x1,%r15
  cmp    %r15d,%r12d
  jl     L62
L7:
  movss  (%rbx),%xmm0
  subss  (%r14,%r15,4),%xmm0
  call   <fabs@plt>
  movsd  D25(%rip),%xmm2
  comisd %xmm0,%xmm2
  jbe    L83
  mov    0x8(%rsp),%rax
  movss  0x0(%rbp),%xmm0
  subss  (%rax,%r15,4),%xmm0
  call   <fabs@plt>
  movsd  D25(%rip),%xmm3
  mov    $0x1,%eax
  ucomisd %xmm0,%xmm3
  cmovbe 0x4(%rsp),%eax
  add    $0x1,%r15
  mov    %eax,0x4(%rsp)
  cmp    %r15d,%r12d
  jge    L7
L62:
  mov    0x4(%rsp),%eax
  test   %eax,%eax
  jne    L56
  mov    %r12d,%esi
  pxor   %xmm0,%xmm0
  pxor   %xmm1,%xmm1
  mov    $0x2,%eax
  lea    D59(%rip),%rdi
  cvtss2sd (%rbx),%xmm0
  cvtss2sd 0x0(%rbp),%xmm1
  add    $0x1,%r12d
  call   <printf@plt>
  jmp    L56
  nopl   0x0(%rax,%rax,1)
L32:
  mov    0x8(%rsp),%rdi
  mov    $0xa,%edx
  mov    $0x1,%esi
  call   <free_vector@plt>
  mov    %r14,%rdi
  mov    $0xa,%edx
  mov    $0x1,%esi
  call   <free_vector@plt>
  add    $0x18,%rsp
  xor    %eax,%eax
  pop    %rbx
  pop    %rbp
  pop    %r12
  pop    %r13
  pop    %r14
  pop    %r15
  ret
```

tool_calls: name: unpack_data
arguments: tag: D126
data_type: string
name: unpack_data
arguments: tag: D39
data_type: string
name: unpack_data
arguments: tag: D35
data_type: string
name: unpack_data
arguments: tag: D50
data_type: string
name: unpack_data
arguments: tag: D54
data_type: string
name: unpack_data
arguments: tag: D114
data_type: string
name: unpack_data
arguments: tag: D59
data_type: string
name: unpack_data
arguments: tag: D110
data_type: f64
name: unpack_data
arguments: tag: D31
data_type: byte[8]
name: unpack_data
arguments: tag: D53
data_type: byte[16]
name: unpack_data
arguments: tag: D25
data_type: byte[8]

tool: D126: 
P(x)=x^6-6x^5+16x^4-24x^3+25x^2-18x+10

tool: D39: Quadratic factors x^2+bx+c


tool: D35: c

tool: D50: b

tool: D54: factor

tool: D114: %6s %10s %12s 



tool: D59: %4d %15.6f %12.6f


tool: D110: 0.5

tool: {"D31": [0x8d,0xed,0xb5,0xa0,0xf7,0xc6,0xb0,0x3e]}

tool: {"D53": [0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x80,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00]}

tool: {"D25": [0xf1,0x68,0xe3,0x88,0xb5,0xf8,0xe4,0x3e]}

assistant: ```c
int main(void) {
  int i, j, nflag, nroot = 0;
  static float p[6 + 1] = {10.0, -18.0, 25.0, -24.0, 16.0, -6.0, 1.0};
  float *b, *c;
  b = vector(1, 10);
  c = vector(1, 10);
  printf("\nP(x)=x^6-6x^5+16x^4-24x^3+25x^2-18x+10\n");
  printf("Quadratic factors x^2+bx+c\n\n");
  printf("%6s %10s %12s \n\n", "factor", "b", "c");
  for (i = 1; i <= 10; i++) {
    c[i] = 0.5 * i;
    b[i] = -0.5 * i;
    qroot(p, 6, &b[i], &c[i], 1.0e-6);
    if (nroot == 0) {
      printf("%4d %15.6f %12.6f\n", nroot, b[i], c[i]);
      nroot = 1;
    } else {
      nflag = 0;
      for (j = 1; j <= nroot; j++)
        if ((fabs(b[i] - b[j]) < 1.0e-5) && (fabs(c[i] - c[j]) < 1.0e-5))
          nflag = 1;
      if (nflag == 0) {
        printf("%4d %15.6f %12.6f\n", nroot, b[i], c[i]);
        ++nroot;
      }
    }
  }
  free_vector(c, 1, 10);
  free_vector(b, 1, 10);
  return 0;
}
```