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

```asm
<main>:
  endbr64
  push   %r13
  push   %r12
  push   %rbp
  push   %rbx
  lea    -0xea000(%rsp),%r11
L102:
  sub    $0x1000,%rsp
  orq    $0x0,(%rsp)
  cmp    %r11,%rsp
  jne    L102
  sub    $0x638,%rsp
  mov    $0xea618,%edx
  xor    %esi,%esi
  mov    %fs:0x28,%rax
  mov    %rax,0xea628(%rsp)
  xor    %eax,%eax
  lea    0x10(%rsp),%rbx
  mov    %rbx,%rdi
  call   <memset@plt>
  lea    0xea610(%rsp),%rcx
  movabs $0x100000001,%rdx
  nopl   0x0(%rax,%rax,1)
L248:
  mov    %rdx,(%rax)
  add    $0x30,%rax
  mov    %rdx,-0x18(%rax)
  cmp    %rax,%rcx
  jne    L248
  mov    D22(%rip),%rax
  mov    $0x2,%ebp
  mov    %rax,0xea610(%rsp)
L83:
  mov    D23(%rip),%rax
  movq   %rax,%xmm0
  call   <sqrt@plt>
  cmp    %eax,%ebp
  jg     L85
  mov    %ebp,%edi
  imul   %ebp,%edi
  cmp    $0x9c40,%edi
  jg     L272
  movslq %edi,%rax
  mov    %rbx,%rsi
  lea    (%rax,%rax,2),%rax
  lea    (%rbx,%rax,8),%rax
  jmp    L216
  nopl   0x0(%rax)
L101:
  cmp    $0x1,%edx
  jle    L232
  mov    0x8(%rax),%ecx
  cmp    $0x3b9ac9ff,%ecx
  jle    L308
  cmp    $0x2,%edx
  je     L223
L316:
  movslq %ecx,%rdx
  mov    %ecx,%r8d
  imul   $0x44b82fa1,%rdx,%rdx
  sar    $0x1f,%r8d
  sar    $0x3c,%rdx
  sub    %r8d,%edx
  imul   $0x3b9aca00,%edx,%r8d
  add    0xc(%rax),%edx
  movd   %edx,%xmm2
  mov    (%rax),%edx
  sub    %r8d,%ecx
  movd   %ecx,%xmm0
  punpckldq %xmm2,%xmm0
  movq   %xmm0,0x8(%rax)
L308:
  cmp    $0x2,%edx
  jle    L232
  mov    0xc(%rax),%ecx
  cmp    $0x3b9ac9ff,%ecx
  jle    L137
  cmp    $0x3,%edx
  jne    L263
  movl   $0x4,(%rax)
L263:
  movslq %ecx,%rdx
  mov    %ecx,%r8d
  imul   $0x44b82fa1,%rdx,%rdx
  sar    $0x1f,%r8d
  sar    $0x3c,%rdx
  sub    %r8d,%edx
  imul   $0x3b9aca00,%edx,%r8d
  add    0x10(%rax),%edx
  movd   %edx,%xmm3
  mov    (%rax),%edx
  sub    %r8d,%ecx
  movd   %ecx,%xmm0
  punpckldq %xmm3,%xmm0
  movq   %xmm0,0xc(%rax)
L137:
  cmp    $0x3,%edx
  jle    L232
  mov    0x10(%rax),%ecx
  cmp    $0x3b9ac9ff,%ecx
  jle    L232
  cmp    $0x4,%edx
  jne    L36
  movl   $0x5,(%rax)
L36:
  movslq %ecx,%rdx
  mov    %ecx,%r8d
  imul   $0x44b82fa1,%rdx,%rdx
  sar    $0x1f,%r8d
  sar    $0x3c,%rdx
  sub    %r8d,%edx
  imul   $0x3b9aca00,%edx,%r8d
  add    0x14(%rax),%edx
  movd   %edx,%xmm4
  sub    %r8d,%ecx
  movd   %ecx,%xmm0
  punpckldq %xmm4,%xmm0
  movq   %xmm0,0x10(%rax)
L232:
  add    $0x1,%edi
  add    $0x18,%rsi
  add    $0x18,%rax
  cmp    $0x9c41,%edi
  je     L272
L216:
  mov    (%rsi),%edx
  mov    (%rax),%ecx
  cmp    %ecx,%edx
  cmovl  %ecx,%edx
  mov    %edx,(%rax)
  test   %edx,%edx
  jle    L232
  mov    0x4(%rsi),%ecx
  add    0x4(%rax),%ecx
  mov    %ecx,0x4(%rax)
  cmp    $0x1,%edx
  je     L135
  mov    0x8(%rsi),%r8d
  add    %r8d,0x8(%rax)
  cmp    $0x2,%edx
  je     L196
  mov    0xc(%rsi),%r8d
  add    %r8d,0xc(%rax)
  cmp    $0x3,%edx
  je     L228
  mov    0x10(%rsi),%r8d
  add    %r8d,0x10(%rax)
  cmp    $0x4,%edx
  je     L228
  mov    0x14(%rsi),%r8d
  add    %r8d,0x14(%rax)
L228:
  cmp    $0x3b9ac9ff,%ecx
  jle    L101
L296:
  movslq %ecx,%rdx
  mov    %ecx,%r8d
  imul   $0x44b82fa1,%rdx,%rdx
  sar    $0x1f,%r8d
  sar    $0x3c,%rdx
  sub    %r8d,%edx
  imul   $0x3b9aca00,%edx,%r8d
  add    0x8(%rax),%edx
  movd   %edx,%xmm1
  mov    (%rax),%edx
  sub    %r8d,%ecx
  movd   %ecx,%xmm0
  punpckldq %xmm1,%xmm0
  movq   %xmm0,0x4(%rax)
  jmp    L101
  nopl   (%rax)
L135:
  cmp    $0x3b9ac9ff,%ecx
  jle    L232
  movl   $0x2,(%rax)
  jmp    L296
  nopl   0x0(%rax)
L272:
  add    $0x1,%ebp
  jmp    L83
L196:
  cmp    $0x3b9ac9ff,%ecx
  jg     L296
  mov    0x8(%rax),%ecx
  cmp    $0x3b9ac9ff,%ecx
  jle    L232
L223:
  movl   $0x3,(%rax)
  jmp    L316
L85:
  lea    D1(%rip),%r12
  lea    0x8(%rsp),%rsi
  mov    %r12,%rdi
  lea    0xc(%rsp),%r13
  lea    D7(%rip),%rbp
  call   <scanf@plt>
  mov    0x8(%rsp),%eax
  lea    -0x1(%rax),%edx
  mov    %edx,0x8(%rsp)
  test   %eax,%eax
  je     L175
  nopl   (%rax)
L270:
  mov    %r13,%rsi
  mov    %r12,%rdi
  call   <scanf@plt>
  movslq 0xc(%rsp),%rax
  mov    %r12,%rdi
  lea    (%rax,%rax,2),%rax
  movslq 0x10(%rsp,%rax,8),%rdx
  lea    (%rdx,%rax,2),%rax
  mov    %rdx,%rbx
  mov    0x10(%rsp,%rax,4),%esi
  sub    $0x1,%ebx
  xor    %eax,%eax
  call   <printf@plt>
  test   %ebx,%ebx
  jle    L327
  nopl   (%rax)
L56:
  movslq 0xc(%rsp),%rax
  movslq %ebx,%rdx
  mov    $0x9,%esi
  mov    %rbp,%rdi
  lea    (%rax,%rax,2),%rax
  lea    (%rdx,%rax,2),%rax
  mov    0x10(%rsp,%rax,4),%edx
  xor    %eax,%eax
  call   <printf@plt>
  sub    $0x1,%ebx
  jne    L56
L327:
  mov    $0xa,%edi
  call   <putchar@plt>
  mov    0x8(%rsp),%eax
  lea    -0x1(%rax),%edx
  mov    %edx,0x8(%rsp)
  test   %eax,%eax
  jne    L270
L175:
  mov    0xea628(%rsp),%rax
  sub    %fs:0x28,%rax
  jne    L195
  add    $0xea638,%rsp
  xor    %eax,%eax
  pop    %rbx
  pop    %rbp
  pop    %r12
  pop    %r13
  ret
L195:
  call   <__stack_chk_fail@plt>
```

tool_calls: name: extract_symbolic_data
arguments: tag: D22
datatype: byte[8]
name: extract_symbolic_data
arguments: tag: D23
datatype: byte[8]
name: extract_symbolic_data
arguments: tag: D1
datatype: string
name: extract_symbolic_data
arguments: tag: D7
datatype: string

tool: {"D22": [0x01,0x00,0x00,0x00,0x01,0x00,0x00,0x00]}

tool: {"D23": [0x00,0x00,0x00,0x00,0x00,0x88,0xe3,0x40]}

tool: D1: %d

tool: D7: %0*d

assistant: ```c
int main(void) {
  int i, j, jj, k, T, N, DP[40000 + 1][6] = {0};
  for (i = 0; i <= 40000; i++)
    DP[i][0] = DP[i][1] = 1;
  for (j = 2; j <= (int)sqrt((double)40000); j++) {
    jj = j * j;
    for (i = jj; i <= 40000; i++) {
      DP[i][0] = ((DP[i][0]) > (DP[i - jj][0]) ? (DP[i][0]) : (DP[i - jj][0]));
      for (k = 1; k <= DP[i][0]; k++) {
        DP[i][k] += DP[i - jj][k];
      }
      for (k = 1; k <= DP[i][0]; k++) {
        if (DP[i][k] >= 1000000000) {
          if (k == DP[i][0]) {
            DP[i][0]++;
          }
          DP[i][k + 1] += DP[i][k] / 1000000000;
          DP[i][k] %= 1000000000;
        }
      }
    }
  }
  scanf("%d", &T);
  while (T--) {
    scanf("%d", &N);
    i = DP[N][0];
    printf("%d", DP[N][i]);
    while (--i > 0)
      printf("%0*d", 9, DP[N][i]);
    putchar('\n');
  }
  return 0;
}
```