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

```asm
<main>:
  endbr64
  push   %rbp
  mov    %rsp,%rbp
  push   %r15
  push   %r14
  lea    -0x3c(%rbp),%rsi
  push   %r13
  push   %r12
  lea    D31(%rip),%r12
  push   %rbx
  mov    %r12,%rdi
  sub    $0xd8,%rsp
  mov    %fs:0x28,%rax
  mov    %rax,-0x38(%rbp)
  xor    %eax,%eax
  mov    %rsp,-0xb8(%rbp)
  call   <scanf@plt>
  movslq -0x3c(%rbp),%rdx
  mov    %rsp,%rsi
  mov    %edx,-0x54(%rbp)
  lea    0xf(,%rdx,4),%rdx
  mov    %rdx,%rdi
  mov    %rdx,%rcx
  and    $0xfffffffffffff000,%rdi
  and    $0xfffffffffffffff0,%rcx
  sub    %rdi,%rsi
  cmp    %rsi,%rsp
  je     L490
L571:
  sub    $0x1000,%rsp
  orq    $0x0,0xff8(%rsp)
  cmp    %rsi,%rsp
  jne    L571
L490:
  and    $0xfff,%ecx
  sub    %rcx,%rsp
  test   %rcx,%rcx
  jne    L241
L206:
  lea    0x3(%rsp),%rcx
  mov    %rsp,%rsi
  mov    %rcx,%r14
  and    $0xfffffffffffffffc,%rcx
  mov    %rcx,-0x68(%rbp)
  mov    %rdx,%rcx
  and    $0xfffffffffffff000,%rdx
  shr    $0x2,%r14
  and    $0xfffffffffffffff0,%rcx
  sub    %rdx,%rsi
L196:
  cmp    %rsi,%rsp
  je     L668
  sub    $0x1000,%rsp
  orq    $0x0,0xff8(%rsp)
  jmp    L196
L241:
  orq    $0x0,-0x8(%rsp,%rcx,1)
  jmp    L206
L668:
  mov    %rcx,%rdx
  and    $0xfff,%edx
  sub    %rdx,%rsp
  test   %rdx,%rdx
  jne    L293
L622:
  lea    0x3(%rsp),%rbx
  mov    %rbx,%rdx
  and    $0xfffffffffffffffc,%rbx
  shr    $0x2,%rdx
  cmpl   $0x0,-0x54(%rbp)
  mov    %rdx,-0x48(%rbp)
  jle    L751
  mov    -0x68(%rbp),%r13
  xor    %r15d,%r15d
L488:
  mov    %r13,%rsi
  mov    %r12,%rdi
  xor    %eax,%eax
  add    $0x1,%r15d
  call   <scanf@plt>
  mov    -0x3c(%rbp),%edx
  add    $0x4,%r13
  cmp    %r15d,%edx
  jg     L488
  mov    %edx,-0x54(%rbp)
L751:
  test   %eax,%eax
  js     L87
  cmpl   $0x1,-0x54(%rbp)
  je     L19
  mov    -0x54(%rbp),%eax
  cmp    $0x2,%eax
  je     L253
  cmp    $0x3,%eax
  jne    L134
  pxor   %xmm1,%xmm1
  cvtsi2sdl 0x0(,%r14,4),%xmm1
  mulsd  D139(%rip),%xmm1
  movapd %xmm1,%xmm0
  movsd  %xmm1,-0x50(%rbp)
  call   <ceil@plt>
  movsd  -0x50(%rbp),%xmm1
  movq   %xmm0,%r12
  movapd %xmm1,%xmm0
  call   <floor@plt>
  pxor   %xmm1,%xmm1
  cvttsd2si %xmm0,%eax
  cvtsi2sd %eax,%xmm1
  mulsd  D139(%rip),%xmm1
  movapd %xmm1,%xmm0
  movsd  %xmm1,-0x50(%rbp)
  call   <floor@plt>
  mov    -0x48(%rbp),%r15
  movsd  -0x50(%rbp),%xmm1
  movapd %xmm0,%xmm2
  movq   %r12,%xmm0
  unpcklpd %xmm2,%xmm0
  cvttpd2dq %xmm0,%xmm0
  movq   %xmm0,0x0(,%r15,4)
  movapd %xmm1,%xmm0
  call   <ceil@plt>
  cvttsd2si %xmm0,%eax
  mov    %eax,0x8(,%r15,4)
L614:
  xor    %r12d,%r12d
  lea    D135(%rip),%r13
L491:
  mov    (%rbx,%r12,4),%esi
  mov    %r13,%rdi
  xor    %eax,%eax
  add    $0x1,%r12
  call   <printf@plt>
  cmp    %r12d,-0x3c(%rbp)
  jg     L491
L301:
  mov    -0xb8(%rbp),%rsp
  xor    %eax,%eax
L652:
  mov    -0x38(%rbp),%rdx
  sub    %fs:0x28,%rdx
  jne    L417
  lea    -0x28(%rbp),%rsp
  pop    %rbx
  pop    %r12
  pop    %r13
  pop    %r14
  pop    %r15
  pop    %rbp
  ret
L134:
  jle    L9
  mov    -0x54(%rbp),%eax
  mov    %rsp,-0xc0(%rbp)
  mov    %rsp,%rcx
  add    $0x1,%eax
  movslq %eax,%rdx
  mov    %eax,-0x88(%rbp)
  lea    0x0(,%rdx,8),%r15
  mov    %rdx,-0x60(%rbp)
  lea    -0x8(%r15),%rax
  imul   %rdx,%rax
  add    $0xf,%rax
  mov    %rax,%rdx
  and    $0xfffffffffffff000,%rax
  and    $0xfffffffffffffff0,%rdx
  sub    %rax,%rcx
L767:
  cmp    %rcx,%rsp
  je     L52
  sub    $0x1000,%rsp
  orq    $0x0,0xff8(%rsp)
  jmp    L767
L253:
  pxor   %xmm1,%xmm1
  cvtsi2sdl 0x0(,%r14,4),%xmm1
  mulsd  D139(%rip),%xmm1
  movapd %xmm1,%xmm0
  movsd  %xmm1,-0x50(%rbp)
  call   <ceil@plt>
  movsd  -0x50(%rbp),%xmm1
  movq   %xmm0,%r12
  movapd %xmm1,%xmm0
  call   <floor@plt>
  mov    -0x48(%rbp),%rax
  movapd %xmm0,%xmm1
  movq   %r12,%xmm0
  unpcklpd %xmm1,%xmm0
  cvttpd2dq %xmm0,%xmm0
  movq   %xmm0,0x0(,%rax,4)
  jmp    L614
L19:
  mov    0x0(,%r14,4),%eax
  mov    -0x48(%rbp),%rdx
  mov    %eax,0x0(,%rdx,4)
  jmp    L614
L87:
  or     $0xffffffff,%eax
L41:
  mov    -0xb8(%rbp),%rsp
  jmp    L652
L52:
  mov    %rdx,%rax
  and    $0xfff,%eax
  sub    %rax,%rsp
  test   %rax,%rax
  jne    L365
L737:
  movslq -0x54(%rbp),%rsi
  mov    -0x60(%rbp),%r11
  mov    %rsp,%r9
  xor    %edx,%edx
  mov    %r9,-0x50(%rbp)
  lea    -0x1(%rsi),%ecx
  lea    0x1(%r11),%r8
  movslq %ecx,%rdi
  jmp    L596
  cs nopw 0x0(%rax,%rax,1)
L264:
  imul   %r11,%rbx
  lea    -0x1(%rdx),%r12d
  movslq %r12d,%r12
  add    %rbx,%r12
  mov    %r14,(%r9,%r12,8)
  cmp    %edx,%ecx
  je     L675
L91:
  mov    %rax,%rbx
  movslq %r10d,%r10
  imul   %r11,%rbx
  add    %rbx,%r10
  mov    D104(%rip),%rbx
  mov    %rbx,(%r9,%r10,8)
L220:
  mov    -0x68(%rbp),%rbx
  pxor   %xmm0,%xmm0
  imul   %r11,%rax
  cvtsi2sdl (%rbx,%rdx,4),%xmm0
  add    $0x1,%rdx
  add    %rsi,%rax
  movsd  %xmm0,(%r9,%rax,8)
  cmp    %rsi,%rdx
  je     L290
L596:
  movslq %edx,%rbx
  mov    %r8,%r10
  mov    D104(%rip),%r14
  movslq %edx,%rax
  imul   %rbx,%r10
  mov    %r14,(%r9,%r10,8)
  lea    0x1(%rdx),%r10d
  test   %rdx,%rdx
  jne    L264
  mov    %r14,(%r9,%rdi,8)
  jmp    L91
L9:
  cmpl   $0x0,-0x54(%rbp)
  jle    L301
  jmp    L614
L675:
  mov    %r14,(%r9,%rbx,8)
  movslq %ecx,%rax
  jmp    L220
L290:
  mov    -0x88(%rbp),%ecx
  mov    -0x50(%rbp),%rsi
  lea    0x8(,%rdx,8),%rax
  shl    $0x3,%rdx
  mov    %rax,-0xa0(%rbp)
  mov    %ecx,%eax
  and    $0xfffffffe,%ecx
  mov    %rsi,-0xd0(%rbp)
  shr    %eax
  mov    %ecx,-0x84(%rbp)
  shl    $0x4,%rax
  mov    %rdx,-0xd8(%rbp)
  mov    %rax,-0xa8(%rbp)
  mov    %rsi,%rax
  add    %rdx,%rsi
  mov    %rax,-0x80(%rbp)
  lea    0xf(%r15),%rax
  mov    %rsi,-0xc8(%rbp)
  mov    %rax,%rsi
  and    $0xfffffffffffff000,%rax
  and    $0xfffffffffffffff0,%rsi
  movq   $0x0,-0x98(%rbp)
  movq   $0x0,-0xb0(%rbp)
  movq   $0x0,-0x90(%rbp)
  movl   $0x0,-0x58(%rbp)
  movq   $0x0,-0x70(%rbp)
  mov    %rsi,-0xe8(%rbp)
  mov    %rax,-0xf0(%rbp)
L661:
  mov    -0x90(%rbp),%rsi
  mov    -0x50(%rbp),%rcx
  pxor   %xmm7,%xmm7
  movslq %esi,%rax
  imul   -0x60(%rbp),%rax
  add    -0x70(%rbp),%rax
  mov    %esi,-0xdc(%rbp)
  ucomisd (%rcx,%rax,8),%xmm7
  mov    %esi,-0x78(%rbp)
  jp     L101
  mov    %esi,-0x48(%rbp)
  lea    D81(%rip),%r12
  jne    L101
  nopw   0x0(%rax,%rax,1)
L727:
  addl   $0x1,-0x48(%rbp)
  mov    -0x48(%rbp),%eax
  cmp    %eax,-0x54(%rbp)
  je     L442
L742:
  mov    -0x3c(%rbp),%eax
  mov    -0x50(%rbp),%rbx
  xor    %r13d,%r13d
  test   %eax,%eax
  jle    L413
  cs nopw 0x0(%rax,%rax,1)
L461:
  xor    %r14d,%r14d
  nopl   0x0(%rax,%rax,1)
L549:
  movsd  (%rbx,%r14,8),%xmm0
  mov    %r12,%rdi
  mov    $0x1,%eax
  add    $0x1,%r14
  call   <printf@plt>
  cmp    %r14d,-0x3c(%rbp)
  jge    L549
  mov    $0xa,%edi
  add    $0x1,%r13d
  add    %r15,%rbx
  call   <putchar@plt>
  cmp    %r13d,-0x3c(%rbp)
  jg     L461
L413:
  movslq -0x48(%rbp),%rbx
  mov    -0x60(%rbp),%rax
  lea    D57(%rip),%rdi
  mov    -0x50(%rbp),%rcx
  mov    -0x78(%rbp),%edx
  imul   %rbx,%rax
  add    -0x70(%rbp),%rax
  mov    %rbx,%rsi
  movsd  (%rcx,%rax,8),%xmm0
  mov    $0x1,%eax
  movsd  %xmm0,-0x68(%rbp)
  call   <printf@plt>
  mov    $0xa,%edi
  call   <putchar@plt>
  movsd  -0x68(%rbp),%xmm0
  pxor   %xmm3,%xmm3
  ucomisd %xmm3,%xmm0
  jp     L516
  je     L727
L516:
  mov    $0xa,%edi
  mov    %rsp,%r12
  call   <putchar@plt>
  mov    %rsp,%rax
  sub    -0xf0(%rbp),%rax
L120:
  cmp    %rax,%rsp
  je     L235
  sub    $0x1000,%rsp
  orq    $0x0,0xff8(%rsp)
  jmp    L120
  nopw   0x0(%rax,%rax,1)
L442:
  mov    -0x58(%rbp),%ecx
  lea    0x1(%rcx),%eax
  cmp    %ecx,-0x54(%rbp)
  je     L542
  mov    -0x78(%rbp),%esi
  mov    %eax,-0x58(%rbp)
  cltq
  mov    %rax,-0x70(%rbp)
  mov    %esi,-0x48(%rbp)
  jmp    L742
L542:
  mov    $0xa,%edi
  call   <putchar@plt>
L618:
  mov    $0xa,%edi
  xor    %r12d,%r12d
  lea    D81(%rip),%rbx
  call   <putchar@plt>
  cmpl   $0x0,-0x3c(%rbp)
  mov    -0xd0(%rbp),%r14
  jle    L777
L11:
  xor    %r13d,%r13d
L605:
  movsd  (%r14,%r13,8),%xmm0
  mov    %rbx,%rdi
  mov    $0x1,%eax
  add    $0x1,%r13
  call   <printf@plt>
  cmp    %r13d,-0x3c(%rbp)
  jge    L605
  mov    $0xa,%edi
  add    $0x1,%r12d
  add    %r15,%r14
  call   <putchar@plt>
  movslq -0x3c(%rbp),%rax
  cmp    %r12d,%eax
  jg     L11
  test   %eax,%eax
  jle    L777
  xor    %ebx,%ebx
  lea    D27(%rip),%r12
L251:
  movslq %ebx,%rdx
  imul   -0x60(%rbp),%rdx
  mov    -0x50(%rbp),%rsi
  mov    %r12,%rdi
  add    $0x1,%ebx
  add    %rdx,%rax
  movsd  (%rsi,%rax,8),%xmm0
  mov    $0x1,%eax
  call   <printf@plt>
  movslq -0x3c(%rbp),%rax
  cmp    %ebx,%eax
  jg     L251
L777:
  xor    %eax,%eax
  mov    -0xc0(%rbp),%rsp
  jmp    L41
L101:
  movslq -0x78(%rbp),%rbx
  jmp    L516
L235:
  mov    -0xe8(%rbp),%rax
  and    $0xfff,%eax
  sub    %rax,%rsp
  test   %rax,%rax
  je     L636
  orq    $0x0,-0x8(%rsp,%rax,1)
L636:
  mov    -0x60(%rbp),%r13
  mov    -0x50(%rbp),%rax
  mov    %rsp,%rcx
  mov    -0xa0(%rbp),%rdx
  mov    %rcx,%rdi
  imul   %rbx,%r13
  shl    $0x3,%r13
  lea    (%rax,%r13,1),%r14
  mov    %r14,%rsi
  call   <memcpy@plt>
  mov    -0x98(%rbp),%rsi
  mov    %rax,%rcx
  lea    0x10(%rsi),%rax
  cmp    %rax,%r13
  jge    L595
  add    $0x10,%r13
  cmp    %rsi,%r13
  jg     L205
L595:
  mov    -0x80(%rbp),%rdx
  xor    %eax,%eax
L721:
  movupd (%rdx,%rax,1),%xmm4
  movupd (%rcx,%rax,1),%xmm5
  movups %xmm4,(%r14,%rax,1)
  movups %xmm5,(%rdx,%rax,1)
  add    $0x10,%rax
  cmp    -0xa8(%rbp),%rax
  jne    L721
  mov    -0x84(%rbp),%edx
  cmp    %edx,-0x88(%rbp)
  je     L581
  mov    -0x60(%rbp),%r8
  movslq -0x78(%rbp),%rax
  mov    %rbx,%rdi
  movslq -0x84(%rbp),%rdx
  mov    -0x50(%rbp),%r9
  mov    %r8,%rsi
  imul   %r8,%rdi
  imul   %rax,%rsi
  add    %rdx,%rdi
  add    %rdx,%rsi
  movsd  (%r9,%rsi,8),%xmm0
  movsd  %xmm0,(%r9,%rdi,8)
  movsd  (%rcx,%rdx,8),%xmm0
  movsd  %xmm0,(%r9,%rsi,8)
L7:
  mov    -0x60(%rbp),%rdx
  mov    -0x50(%rbp),%rcx
  pxor   %xmm6,%xmm6
  imul   %rax,%rdx
  add    -0x70(%rbp),%rdx
  movsd  (%rcx,%rdx,8),%xmm1
  ucomisd %xmm6,%xmm1
  jp     L295
  jne    L295
L325:
  mov    -0xc8(%rbp),%rcx
  imul   -0x60(%rbp),%rax
  xor    %edi,%edi
  xor    %esi,%esi
  mov    -0x70(%rbp),%rdx
  mov    -0x80(%rbp),%r14
  mov    %r12,-0x48(%rbp)
  lea    0x8(%rcx),%rbx
  mov    -0x98(%rbp),%rcx
  movslq -0x84(%rbp),%r8
  mov    -0xb0(%rbp),%r9
  mov    -0x50(%rbp),%r11
  mov    %rbx,-0x68(%rbp)
  lea    0x8(,%rdx,8),%r10
  lea    0x8(%rcx),%r13
  mov    %rdx,%rbx
  lea    (%r8,%rax,1),%rcx
  mov    %r13,-0x78(%rbp)
  mov    -0x60(%rbp),%r13
L61:
  cmp    -0x90(%rbp),%esi
  je     L486
  mov    -0xa0(%rbp),%rax
  lea    (%rdi,%rax,1),%rdx
  lea    -0x8(%r10),%rax
  cmp    %rax,%rdx
  setle  %dl
  cmp    %rdi,%r10
  setle  %al
  or     %dl,%al
  je     L288
  cmp    %rdi,-0x78(%rbp)
  je     L288
  movslq %esi,%rdx
  lea    (%r11,%rdi,1),%r12
  mov    %rdx,%rax
  mov    %rdx,-0xf8(%rbp)
  mov    -0xa8(%rbp),%rdx
  imul   %r13,%rax
  add    %rbx,%rax
  movsd  (%r11,%rax,8),%xmm2
  xor    %eax,%eax
  unpcklpd %xmm2,%xmm2
L658:
  movupd (%r14,%rax,1),%xmm1
  movupd (%r12,%rax,1),%xmm0
  mulpd  %xmm2,%xmm1
  subpd  %xmm1,%xmm0
  movups %xmm0,(%r12,%rax,1)
  add    $0x10,%rax
  cmp    %rdx,%rax
  jne    L658
  mov    -0xf8(%rbp),%rdx
  mov    -0x84(%rbp),%r12d
  cmp    %r12d,-0x88(%rbp)
  je     L486
  imul   %r13,%rdx
  movsd  (%r11,%rcx,8),%xmm1
  lea    (%r8,%rdx,1),%rax
  add    %rbx,%rdx
  mulsd  (%r11,%rdx,8),%xmm1
  movsd  (%r11,%rax,8),%xmm0
  subsd  %xmm1,%xmm0
  movsd  %xmm0,(%r11,%rax,8)
L486:
  add    $0x1,%esi
  sub    %r13,%r9
  add    %r15,%rdi
  add    %r15,%r10
  cmp    %esi,-0x54(%rbp)
  jne    L61
  mov    -0x48(%rbp),%r12
  mov    -0xdc(%rbp),%eax
  mov    -0x60(%rbp),%rsi
  addq   $0x1,-0x90(%rbp)
  add    %rsi,-0xb0(%rbp)
  mov    %r12,%rsp
  add    $0x1,%eax
  add    %r15,-0x98(%rbp)
  add    %r15,-0x80(%rbp)
  cmp    %eax,-0x54(%rbp)
  jle    L618
  mov    -0x58(%rbp),%ecx
  cmp    %ecx,-0x88(%rbp)
  jg     L661
  jmp    L618
L288:
  mov    -0x68(%rbp),%rdx
  lea    (%r11,%rdi,1),%rax
  lea    (%rdx,%rdi,1),%r12
  movslq %esi,%rdx
  imul   %r13,%rdx
  add    %rbx,%rdx
L776:
  movsd  (%rax,%r9,8),%xmm1
  mulsd  (%r11,%rdx,8),%xmm1
  add    $0x8,%rax
  movsd  -0x8(%rax),%xmm0
  subsd  %xmm1,%xmm0
  movsd  %xmm0,-0x8(%rax)
  cmp    %rax,%r12
  jne    L776
  jmp    L486
L295:
  mov    -0xb0(%rbp),%rsi
  mov    -0x70(%rbp),%rdx
  mov    -0x98(%rbp),%rdi
  mov    -0xa0(%rbp),%rcx
  lea    0x1(%rsi,%rdx,1),%rdx
  shl    $0x3,%rdx
  add    %rdi,%rcx
  lea    -0x8(%rdx),%rsi
  cmp    %rcx,%rsi
  jge    L164
  cmp    %rdi,%rdx
  jg     L450
L164:
  movsd  D104(%rip),%xmm0
  mov    -0xa8(%rbp),%rcx
  mov    -0x80(%rbp),%rdx
  divsd  %xmm1,%xmm0
  add    %rdx,%rcx
  unpcklpd %xmm0,%xmm0
L194:
  movupd (%rdx),%xmm1
  add    $0x10,%rdx
  mulpd  %xmm0,%xmm1
  movups %xmm1,-0x10(%rdx)
  cmp    %rcx,%rdx
  jne    L194
  mov    -0x84(%rbp),%esi
  cmp    %esi,-0x88(%rbp)
  je     L325
  mov    -0x60(%rbp),%rcx
  movslq %esi,%rdx
  mov    -0x50(%rbp),%rsi
  movsd  D104(%rip),%xmm0
  imul   %rax,%rcx
  add    %rcx,%rdx
  add    -0x70(%rbp),%rcx
  divsd  (%rsi,%rcx,8),%xmm0
  mulsd  (%rsi,%rdx,8),%xmm0
  movsd  %xmm0,(%rsi,%rdx,8)
  jmp    L325
L205:
  mov    -0xd8(%rbp),%rax
  mov    %rbx,%rdx
  sub    -0x90(%rbp),%rdx
  imul   -0x60(%rbp),%rdx
  lea    0x8(%rcx,%rax,1),%rsi
  mov    -0x80(%rbp),%rax
L590:
  movsd  (%rax),%xmm0
  add    $0x8,%rcx
  movsd  %xmm0,(%rax,%rdx,8)
  movsd  -0x8(%rcx),%xmm0
  add    $0x8,%rax
  movsd  %xmm0,-0x8(%rax)
  cmp    %rsi,%rcx
  jne    L590
L581:
  movslq -0x78(%rbp),%rax
  jmp    L7
L293:
  orq    $0x0,-0x8(%rsp,%rdx,1)
  jmp    L622
L450:
  mov    -0x60(%rbp),%rcx
  mov    -0x80(%rbp),%rdx
  xor    %esi,%esi
  imul   %rax,%rcx
  add    -0x70(%rbp),%rcx
L686:
  mov    -0x50(%rbp),%rdi
  movsd  D104(%rip),%xmm0
  add    $0x8,%rdx
  divsd  (%rdi,%rcx,8),%xmm0
  mulsd  -0x8(%rdx),%xmm0
  mov    %esi,%edi
  add    $0x1,%esi
  movsd  %xmm0,-0x8(%rdx)
  cmp    %edi,-0x54(%rbp)
  jne    L686
  jmp    L325
L365:
  orq    $0x0,-0x8(%rsp,%rax,1)
  jmp    L737
L417:
  call   <__stack_chk_fail@plt>
```

tool_calls: name: disassemble_data
arguments: data_tag: D31
type: string
name: disassemble_data
arguments: data_tag: D139
type: byte[8]
name: disassemble_data
arguments: data_tag: D135
type: string
name: disassemble_data
arguments: data_tag: D104
type: byte[8]
name: disassemble_data
arguments: data_tag: D81
type: string
name: disassemble_data
arguments: data_tag: D57
type: string
name: disassemble_data
arguments: data_tag: D27
type: string

tool: D31: %d

tool: {"D139": [0x00,0x00,0x00,0x00,0x00,0x00,0xe0,0x3f]}

tool: D135: %d


tool: {"D104": [0x00,0x00,0x00,0x00,0x00,0x00,0xf0,0x3f]}

tool: D81: %.0f 

tool: D57: %d, %d, %.0f


tool: D27: %.0f


assistant: ```c
int main(void) {
  int n, err, tmp;
  err = scanf("%d", &n);
  int ring[n];
  int ans[n];
  for (int i = 0; i < n; i++) {
    err = scanf("%d", &ring[i]);
  }
  if (err < 0) {
    return -1;
  }
  if (n == 1) {
    ans[0] = ring[0];
  }
  if (n == 2) {
    ans[0] = (int)ceil((double)ring[0] / 2);
    ans[1] = (int)floor((double)ring[0] / 2);
  }
  if (n == 3) {
    ans[0] = (int)ceil((double)ring[0] / 2);
    tmp = (int)floor((double)ring[0] / 2);
    ans[1] = (int)floor((double)tmp / 2);
    ans[2] = (int)ceil((double)tmp / 2);
  }
  if (n < 4) {
    for (int i = 0; i < n; i++) {
      printf("%d\n", ans[i]);
    }
  } else {
    double matrix[n][n + 1];
    for (int i = 0; i < n; i++) {
      matrix[i][i] = 1;
      if (i == 0) {
        matrix[i][n - 1] = 1;
      } else {
        matrix[i][i - 1] = 1;
      }
      if (i == n - 1) {
        matrix[i][0] = 1;
      } else {
        matrix[i][i + 1] = 1;
      }
      matrix[i][n] = ring[i];
    }
    int lead = 0;
    int rowCount = n;
    int colCount = n + 1;
    int i;
    int quit = 0;
    for (int row = 0; row < rowCount && !quit; row++) {
      if (colCount <= lead) {
        quit = 1;
        break;
      }
      i = row;
      while (!quit && matrix[i][lead] == 0) {
        i++;
        if (rowCount == i) {
          i = row;
          lead++;
          if (colCount == lead) {
            quit = 1;
            break;
          }
        }
        for (int i = 0; i < n; i++) {
          for (int j = 0; j < n + 1; j++) {
            printf("%.0f ", matrix[i][j]);
          }
          printf("\n");
        }
        printf("%d, %d, %.0f\n", i, row, matrix[i][lead]);
        printf("\n");
      }
      printf("\n");
      if (!quit) {
        double swap[colCount];
        for (int c1 = 0; c1 < colCount; c1++) {
          swap[c1] = matrix[i][c1];
        }
        for (int c1 = 0; c1 < colCount; c1++) {
          matrix[i][c1] = matrix[row][c1];
          matrix[row][c1] = swap[c1];
        }
        if (matrix[row][lead] != 0) {
          for (int c1 = 0; c1 < colCount; c1++) {
            matrix[row][c1] *= (1.0f / matrix[row][lead]);
          }
        }
        for (i = 0; i < rowCount; i++) {
          if (i != row) {
            for (int c1 = 0; c1 < colCount; c1++) {
              matrix[i][c1] -= (matrix[i][lead]) * matrix[row][c1];
            }
          }
        }
      }
    }
    printf("\n");
    for (int i = 0; i < n; i++) {
      for (int j = 0; j < n + 1; j++) {
        printf("%.0f ", matrix[i][j]);
      }
      printf("\n");
    }
    for (int i = 0; i < n; i++) {
      printf("%.0f\n", matrix[i][n]);
    }
    return 0;
  }
}
```