Problem p02608 (C++) — buggy submission, verdict: Time Limit Exceeded

#include <algorithm>
#include <fstream>
#include <iostream>
#include <math.h>
#include <sstream>
#include <string>
#include <vector>
using namespace std;
typedef long long ll;
typedef long double ld;

int ceil(int a, int m) {
  // division of a and m
  if (a % m == 0) {
    return a / m;
  } else {
    return a / m + 1;
  }
}

vector<int> sort(vector<int> arr) {
  sort(arr.begin(), arr.end());
  return arr;
}

ifstream fin("main.txt");

int main() {

  char nl = '\\n';
  /*
  For array arr use the following preamble to sort
  int diff = sizeof(arr)/sizeof(arr[0]);
  sort(arr, arr + diff);

  */

  int n;
  cin >> n;

  int arr[10002] = {
      0,   0,  0,   0,  0,   1,  0,   0,  0,   0,  3,   0,  0,   0, 0,   0,
      3,   3,  0,   0,  0,   0,  0,   1,  6,   0,  3,   0,  0,   0, 0,   0,
      3,   3,  6,   0,  0,   3,  0,   0,  0,   0,  3,   3,  6,   0, 6,   0,
      0,   0,  3,   0,  0,   1,  6,   0,  6,   6,  0,   0,  6,   0, 0,   0,
      0,   3,  3,   3,  6,   0,  6,   3,  6,   0,  0,   0,  6,   0, 0,   0,
      3,   3,  9,   0,  6,   3,  6,   0,  3,   6,  0,   0,  0,   0, 6,   1,
      6,   0,  6,   6,  0,   3,  12,  0,  6,   0,  0,   3,  6,   0, 0,   0,
      3,   3,  12,  0,  6,   3,  6,   0,  3,   6,  9,   0,  6,   0, 0,   0,
      3,   6,  3,   3,  6,   0,  6,   3,  12,  0,  3,   6,  6,   0, 6,   0,
      6,   3,  6,   0,  0,   1,  6,   3,  12,  6,  0,   0,  12,  0, 6,   0,
      6,   6,  12,  0,  0,   6,  0,   0,  6,   0,  12,  3,  6,   0, 6,   3,
      9,   6,  3,   6,  6,   0,  6,   0,  6,   0,  15,  6,  0,   0, 6,   0,
      3,   3,  12,  0,  12,  6,  6,   0,  3,   6,  6,   3,  12,  0, 6,   0,
      9,   6,  0,   0,  6,   3,  12,  1,  6,   6,  6,   6,  0,   0, 18,  0,
      12,  0,  3,   6,  12,  0,  0,   6,  3,   6,  12,  0,  12,  0, 0,   0,
      9,   3,  9,   6,  12,  3,  12,  0,  3,   6,  6,   0,  12,  0, 12,  0,
      9,   9,  0,   0,  6,   3,  6,   3,  12,  6,  9,   3,  6,   0, 12,  3,
      6,   3,  9,   6,  12,  6,  6,   0,  6,   0,  9,   6,  6,   0, 12,  3,
      6,   0,  9,   6,  6,   1,  6,   0,  21,  12, 6,   0,  12,  0, 12,  0,
      0,   6,  15,  6,  0,   6,  12,  0,  12,  0,  12,  0,  0,   0, 12,  0,
      12,  12, 3,   3,  18,  3,  6,   3,  6,   6,  9,   9,  18,  0, 6,   0,
      12,  0,  9,   6,  0,   3,  12,  3,  6,   6,  12,  6,  6,   0, 0,   0,
      15,  3,  18,  3,  18,  3,  12,  6,  3,   6,  9,   0,  12,  0, 12,  0,
      18,  12, 0,   0,  12,  3,  6,   0,  6,   6,  9,   6,  0,   0, 18,  1,
      18,  3,  12,  6,  6,   6,  12,  0,  15,  6,  12,  6,  18,  0, 0,   6,
      0,   9,  12,  0,  18,  0,  6,   3,  12,  0,  12,  12, 0,   0, 12,  0,
      3,   6,  12,  6,  18,  9,  18,  0,  9,   6,  18,  0,  6,   0, 6,   3,
      27,  6,  6,   6,  6,   3,  6,   0,  12,  6,  9,   0,  6,   0, 18,  0,
      9,   9,  15,  3,  12,  6,  6,   3,  9,   6,  12,  12, 18,  0, 18,  0,
      6,   6,  21,  6,  0,   0,  6,   3,  15,  6,  12,  6,  18,  0, 0,   0,
      12,  6,  6,   3,  6,   4,  18,  6,  12,  6,  3,   9,  30,  0, 18,  0,
      6,   6,  12,  6,  6,   9,  12,  0,  18,  6,  18,  0,  6,   0, 12,  0,
      6,   12, 6,   3,  18,  0,  6,   6,  6,   6,  15,  3,  24,  0, 6,   3,
      18,  0,  12,  6,  12,  6,  24,  0,  15,  18, 9,   6,  0,   0, 18,  3,
      6,   0,  15,  12, 12,  6,  6,   0,  18,  0,  6,   3,  12,  0, 12,  6,
      6,   9,  9,   6,  24,  3,  24,  0,  9,   12, 6,   6,  12,  0, 12,  0,
      21,  9,  15,  6,  12,  3,  18,  3,  12,  6,  12,  6,  0,   0, 12,  0,
      12,  6,  24,  0,  6,   12, 6,   1,  9,   6,  12,  6,  24,  0, 18,  3,
      12,  6,  6,   12, 24,  0,  12,  6,  15,  6,  18,  0,  18,  0, 0,   0,
      18,  9,  21,  12, 0,   6,  18,  0,  9,   6,  6,   6,  12,  0, 12,  0,
      9,   9,  27,  6,  6,   3,  18,  6,  21,  6,  6,   12, 12,  0, 12,  0,
      24,  12, 0,   0,  24,  3,  24,  6,  12,  12, 18,  0,  0,   0, 12,  0,
      18,  3,  15,  6,  12,  9,  6,   0,  15,  6,  9,   12, 24,  0, 12,  3,
      6,   6,  21,  6,  18,  3,  18,  0,  21,  12, 15,  6,  6,   0, 12,  3,
      12,  9,  18,  9,  12,  6,  6,   6,  24,  0,  18,  3,  24,  0, 6,   6,
      0,   6,  9,   6,  6,   4,  30,  0,  18,  12, 9,   6,  24,  0, 18,  0,
      9,   12, 21,  6,  6,   12, 12,  0,  18,  0,  21,  15, 12,  0, 12,  6,
      12,  12, 18,  0,  18,  0,  6,   0,  9,   12, 18,  6,  30,  0, 0,   0,
      24,  6,  9,   3,  12,  6,  30,  3,  6,   12, 6,   12, 12,  0, 36,  0,
      6,   3,  27,  12, 12,  6,  6,   6,  24,  0,  12,  6,  12,  0, 18,  0,
      18,  15, 18,  3,  18,  6,  12,  6,  6,   12, 3,   6,  6,   0, 12,  3,
      39,  3,  12,  12, 12,  3,  18,  0,  21,  12, 21,  6,  18,  0, 12,  0,
      9,   9,  12,  9,  24,  9,  12,  6,  12,  6,  33,  0,  6,   0, 18,  0,
      9,   15, 12,  6,  24,  6,  6,   3,  15,  6,  15,  12, 18,  0, 18,  1,
      18,  6,  12,  6,  6,   0,  24,  6,  24,  12, 18,  6,  24,  0, 6,   6,
      12,  15, 24,  0,  24,  6,  6,   0,  18,  0,  15,  18, 12,  0, 24,  0,
      12,  6,  12,  12, 18,  6,  24,  0,  0,   6,  24,  3,  12,  0, 12,  6,
      30,  9,  6,   12, 24,  12, 12,  0,  15,  18, 12,  0,  18,  0, 24,  6,
      15,  6,  18,  3,  18,  3,  12,  6,  24,  12, 12,  12, 6,   0, 36,  0,
      18,  3,  6,   12, 6,   9,  12,  0,  3,   12, 36,  0,  30,  0, 12,  0,
      18,  6,  12,  9,  12,  6,  24,  3,  18,  12, 15,  9,  24,  0, 18,  6,
      18,  9,  18,  12, 6,   6,  24,  3,  24,  0,  12,  12, 12,  0, 6,   0,
      27,  12, 18,  3,  30,  3,  18,  6,  0,   12, 15,  6,  18,  0, 24,  0,
      9,   6,  9,   12, 18,  7,  24,  0,  24,  12, 15,  12, 24,  0, 24,  0,
      6,   9,  30,  9,  6,   6,  0,   9,  33,  12, 36,  0,  12,  0, 18,  0,
      6,   21, 12,  6,  36,  6,  0,   3,  18,  6,  12,  6,  24,  0, 12,  3,
      24,  6,  9,   12, 6,   6,  30,  6,  18,  12, 9,   9,  12,  0, 30,  3,
      18,  3,  27,  6,  30,  12, 12,  0,  24,  0,  27,  12, 6,   0, 24,  3,
      18,  18, 9,   6,  18,  0,  12,  3,  33,  18, 12,  9,  6,   0, 12,  6,
      30,  0,  24,  12, 12,  0,  30,  6,  6,   6,  0,   6,  24,  0, 12,  0,
      18,  15, 33,  6,  30,  15, 18,  0,  9,   12, 24,  9,  12,  0, 18,  6,
      27,  18, 15,  6,  18,  3,  24,  0,  6,   6,  36,  12, 18,  0, 12,  3,
      30,  3,  12,  6,  12,  15, 6,   0,  18,  12, 15,  9,  30,  0, 18,  6,
      12,  12, 18,  6,  6,   3,  24,  1,  27,  12, 18,  6,  18,  0, 24,  0,
      18,  15, 15,  21, 30,  6,  12,  12, 18,  0,  30,  6,  24,  0, 6,   0,
      18,  6,  36,  12, 6,   6,  36,  0,  6,   12, 12,  12, 24,  0, 30,  0,
      9,   6,  18,  0,  18,  12, 12,  6,  24,  6,  9,   15, 12,  0, 12,  6,
      30,  9,  18,  0,  42,  3,  18,  6,  12,  18, 33,  12, 12,  0, 18,  0,
      21,  12, 12,  12, 24,  6,  30,  0,  27,  18, 6,   12, 6,   0, 24,  0,
      18,  15, 30,  0,  18,  12, 6,   0,  21,  6,  21,  12, 24,  0, 30,  0,
      6,   6,  6,   12, 24,  0,  30,  12, 9,   12, 21,  3,  24,  0, 12,  3,
      21,  18, 9,   18, 18,  6,  30,  3,  42,  6,  21,  6,  30,  0, 6,   3,
      24,  9,  36,  6,  6,   9,  12,  6,  18,  12, 33,  9,  12,  0, 24,  9,
      9,   6,  3,   18, 36,  6,  18,  0,  24,  6,  6,   6,  18,  0, 12,  0,
      30,  3,  39,  12, 12,  7,  18,  0,  15,  18, 18,  9,  36,  0, 24,  6,
      6,   18, 30,  0,  18,  9,  18,  3,  24,  6,  21,  12, 24,  0, 30,  3,
      33,  24, 12,  6,  18,  6,  6,   6,  18,  6,  18,  12, 18,  0, 24,  6,
      36,  3,  18,  6,  0,   12, 30,  0,  9,   24, 18,  0,  24,  0, 18,  0,
      0,   12, 30,  15, 30,  6,  18,  3,  30,  0,  24,  18, 12,  0, 36,  3,
      24,  12, 15,  18, 18,  6,  24,  3,  24,  12, 18,  12, 24,  0, 0,   6,
      39,  6,  24,  3,  18,  3,  42,  6,  12,  12, 15,  9,  30,  0, 12,  0,
      18,  6,  18,  12, 24,  15, 12,  0,  12,  12, 30,  12, 12,  0, 18,  0,
      15,  15, 18,  18, 30,  3,  24,  12, 9,   6,  48,  0,  18,  0, 30,  0,
      21,  6,  12,  12, 24,  12, 18,  3,  48,  24, 6,   6,  18,  0, 36,  0,
      12,  15, 27,  6,  12,  12, 18,  6,  27,  6,  12,  9,  18,  0, 24,  6,
      18,  18, 21,  0,  36,  0,  12,  0,  18,  12, 21,  18, 24,  0, 12,  1,
      18,  9,  21,  18, 6,   9,  42,  3,  36,  12, 12,  12, 30,  0, 12,  6,
      21,  12, 36,  6,  24,  9,  12,  6,  12,  12, 24,  12, 18,  0, 42,  0,
      15,  6,  15,  15, 42,  6,  30,  6,  12,  12, 18,  12, 18,  0, 6,   6,
      36,  0,  30,  18, 6,   0,  6,   0,  30,  18, 18,  0,  42,  0, 18,  6,
      15,  18, 24,  0,  12,  6,  36,  9,  33,  12, 12,  12, 18,  0, 36,  0,
      21,  21, 15,  18, 18,  15, 18,  0,  18,  6,  42,  6,  24,  0, 18,  3,
      42,  6,  18,  12, 12,  12, 18,  0,  15,  12, 18,  12, 36,  0, 30,  12,
      3,   21, 18,  0,  30,  6,  24,  0,  27,  12, 18,  12, 6,   0, 12,  0,
      36,  15, 15,  3,  36,  12, 18,  6,  30,  6,  33,  12, 12,  0, 12,  6,
      24,  6,  54,  18, 12,  3,  36,  9,  9,   12, 12,  18, 36,  0, 6,   0,
      21,  15, 27,  9,  24,  12, 30,  6,  24,  6,  27,  18, 12,  0, 30,  0,
      21,  12, 18,  6,  30,  0,  18,  0,  21,  18, 21,  6,  30,  0, 24,  3,
      6,   6,  15,  27, 12,  10, 42,  6,  36,  12, 12,  6,  24,  0, 24,  6,
      12,  12, 48,  6,  18,  12, 0,   3,  51,  6,  30,  6,  24,  0, 24,  0,
      30,  21, 15,  12, 24,  9,  18,  6,  18,  12, 30,  9,  24,  0, 18,  0,
      27,  18, 9,   6,  18,  9,  54,  0,  18,  24, 21,  18, 12,  0, 24,  0,
      12,  0,  30,  9,  30,  12, 6,   9,  24,  6,  15,  15, 18,  0, 30,  3,
      33,  18, 21,  12, 42,  3,  30,  6,  6,   24, 27,  6,  12,  0, 24,  3,
      42,  6,  42,  9,  12,  6,  18,  6,  24,  12, 12,  12, 54,  0, 6,   12,
      18,  6,  18,  18, 30,  12, 30,  0,  18,  0,  27,  18, 24,  0, 18,  0,
      15,  24, 21,  6,  24,  3,  36,  6,  6,   6,  45,  21, 18,  0, 18,  6,
      33,  3,  18,  0,  24,  15, 30,  0,  30,  24, 12,  6,  36,  0, 24,  3,
      21,  24, 18,  15, 30,  3,  12,  6,  42,  12, 12,  12, 6,   0, 54,  6,
      30,  15, 24,  18, 24,  6,  12,  0,  9,   6,  30,  0,  48,  0, 24,  0,
      15,  12, 39,  12, 24,  6,  24,  6,  15,  30, 12,  6,  24,  0, 24,  3,
      24,  12, 24,  6,  6,   18, 12,  4,  54,  6,  21,  18, 18,  0, 36,  6,
      24,  9,  30,  12, 24,  9,  36,  6,  12,  18, 42,  3,  30,  0, 6,   9,
      21,  6,  12,  30, 30,  6,  30,  0,  27,  12, 9,   18, 30,  0, 36,  0,
      18,  9,  42,  6,  24,  12, 0,   6,  51,  12, 24,  12, 12,  0, 18,  6,
      12,  18, 6,   6,  36,  3,  54,  9,  18,  6,  27,  12, 18,  0, 30,  0,
      39,  9,  18,  18, 12,  9,  30,  6,  21,  12, 27,  18, 24,  0, 12,  0,
      42,  18, 42,  6,  24,  15, 18,  0,  24,  12, 45,  12, 6,   0, 54,  0,
      15,  21, 6,   6,  30,  6,  18,  12, 24,  18, 30,  6,  36,  0, 12,  3,
      24,  12, 18,  18, 18,  12, 24,  0,  33,  12, 27,  6,  42,  0, 18,  6,
      9,   15, 30,  6,  30,  6,  12,  6,  18,  6,  33,  15, 30,  0, 36,  3,
      27,  21, 33,  24, 30,  9,  24,  0,  12,  18, 33,  6,  6,   0, 18,  3,
      57,  12, 24,  18, 30,  9,  18,  0,  18,  12, 27,  12, 36,  0, 36,  6,
      12,  6,  27,  12, 30,  9,  24,  6,  39,  18, 12,  24, 12,  0, 30,  0,
      30,  6,  15,  15, 18,  3,  24,  18, 9,   12, 30,  9,  30,  0, 18,  6,
      42,  18, 30,  0,  6,   10, 48,  0,  24,  12, 12,  18, 48,  0, 30,  3,
      30,  15, 18,  6,  24,  18, 18,  0,  42,  6,  36,  15, 24,  0, 42,  12,
      21,  24, 12,  12, 24,  0,  12,  6,  18,  18, 60,  6,  30,  0, 12,  0,
      24,  0,  12,  18, 30,  15, 42,  0,  33,  30, 6,   6,  12,  0, 42,  3,
      27,  6,  33,  12, 36,  12, 18,  0,  30,  6,  18,  12, 12,  0, 18,  6,
      15,  27, 27,  6,  42,  6,  36,  9,  18,  30, 33,  9,  30,  0, 6,   6,
      54,  6,  36,  24, 24,  0,  30,  3,  12,  6,  21,  24, 30,  0, 24,  0,
      24,  12, 42,  9,  42,  21, 12,  12, 27,  12, 27,  6,  12,  0, 48,  6,
      12,  18, 12,  12, 36,  6,  30,  0,  24,  0,  42,  12, 12,  0, 36,  0,
      24,  15, 21,  21, 18,  6,  12,  9,  36,  18, 18,  15, 42,  0, 18,  6,
      9,   18, 48,  12, 30,  9,  24,  3,  33,  6,  18,  18, 18,  0, 36,  3,
      54,  24, 3,   12, 36,  9,  36,  6,  30,  12, 36,  12, 24,  0, 18,  6,
      24,  6,  42,  0,  24,  18, 18,  0,  9,   30, 39,  12, 42,  0, 36,  0,
      12,  12, 21,  12, 18,  12, 24,  6,  45,  6,  18,  24, 18,  0, 36,  0,
      42,  15, 18,  6,  24,  6,  12,  12, 18,  12, 30,  6,  18,  0, 30,  1,
      30,  9,  57,  9,  12,  9,  48,  6,  21,  24, 18,  12, 66,  0, 18,  6,
      9,   24, 24,  24, 30,  12, 18,  0,  48,  6,  24,  18, 18,  0, 24,  3,
      27,  18, 24,  12, 36,  6,  48,  6,  15,  18, 42,  6,  24,  0, 12,  12,
      36,  6,  6,   24, 12,  3,  48,  0,  48,  18, 0,   12, 18,  0, 36,  6,
      18,  9,  54,  15, 12,  12, 6,   6,  39,  6,  24,  18, 42,  0, 30,  0,
      33,  18, 24,  18, 18,  9,  18,  0,  15,  18, 54,  0,  36,  0, 24,  0,
      48,  24, 15,  18, 18,  12, 42,  9,  24,  12, 36,  21, 30,  0, 36,  12,
      24,  3,  30,  0,  48,  15, 12,  6,  15,  18, 18,  18, 24,  0, 30,  0,
      24,  24, 18,  9,  72,  0,  30,  6,  21,  18, 30,  6,  24,  0, 0,   6,
      24,  18, 42,  12, 6,   15, 36,  0,  30,  18, 30,  12, 24,  0, 6,   0,
      18,  12, 54,  9,  36,  9,  36,  9,  30,  6,  27,  27, 24,  0, 54,  6,
      21,  18, 21,  6,  36,  15, 36,  3,  30,  12, 6,   18, 30,  0, 18,  6,
      54,  0,  30,  21, 36,  9,  30,  6,  30,  24, 24,  6,  30,  0, 36,  12,
      9,   24, 24,  12, 18,  9,  30,  0,  48,  12, 24,  12, 12,  0, 48,  0,
      18,  12, 24,  24, 30,  6,  18,  12, 21,  12, 24,  0,  66,  0, 12,  0,
      30,  9,  24,  24, 18,  13, 42,  3,  18,  18, 27,  24, 24,  0, 30,  6,
      15,  18, 39,  12, 12,  9,  36,  12, 54,  12, 42,  18, 6,   0, 36,  0,
      51,  18, 12,  0,  66,  12, 24,  0,  6,   24, 51,  12, 24,  0, 24,  0,
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      12,  57, 51,  18, 78,  6,  102, 12, 30,  24, 48,  27, 36,  0, 30,  12,
      126, 6,  27,  36, 30,  18, 66,  0,  60,  30, 48,  36, 48,  0, 24,  6,
      39,  24, 96,  12, 90,  33, 36,  6,  39,  6,  90,  27, 36,  0, 60,  12,
      45,  42, 30,  30, 72,  12, 36,  9,  39,  36, 69,  24, 48,  0, 36,  6,
      66,  15, 72,  39, 36,  27, 54,  18, 57,  30, 42,  12, 60,  0, 84,  24,
      36,  27, 72,  12, 48,  21, 60,  0,  51,  30, 27,  30, 90,  0, 78,  0,
      42,  57, 12,  30, 48,  18, 42,  6,  48,  24, 90,  15, 42,  0, 12,  15,
      84,  24, 72,  18, 48,  21, 66,  3,  54,  42, 30,  24, 48,  0, 36,  18,
      27,  12, 42,  9,  108, 18, 36,  12, 96,  24, 21,  30, 24,  0, 96,  9,
      54,  18, 75,  30, 54,  18, 36,  0,  39,  18, 84,  18, 42,  0, 24,  6,
      54,  18, 57,  42, 24,  9,  84,  18, 48,  42, 27,  30, 78,  0, 60,  0,
      30,  48, 36,  6,  30,  36, 6,   10, 78,  12, 51,  48, 48,  0, 90,  0,
      75,  9,  42,  24, 48,  15, 72,  12, 33,  42, 108, 12, 54,  0, 54,  18,
      51,  42, 36,  48, 48,  12, 72,  0,  42,  18, 45,  30, 66,  0, 78,  3,
      36,  15, 78,  30, 30,  30, 30,  15, 102, 12, 54,  18, 30,  0, 36,  6,
      81,  48, 12,  24, 108, 6,  78,  18, 24,  36, 33,  18, 30,  0, 30,  0,
      108, 21, 54,  42, 18,  18, 90,  6,  30,  48, 69,  36, 48,  0, 24,  15,
      24,  15, 84,  24, 114, 6,  30,  0,  48,  6,  60,  42, 24,  0, 102, 12,
      42,  42, 27,  21, 78,  9,  42,  24, 51,  24, 42,  12, 48,  0, 60,  12,
      66,  6,  42,  24, 30,  24, 42,  0,  78,  24, 54,  12, 66,  0, 30,  6,
      24,  51, 99,  18, 60,  24, 42,  18, 54,  6,  45,  60, 36,  0, 54,  6,
      39,  39, 39,  30, 66,  18, 72,  0,  51,  24, 102, 12, 54,  0, 24,  0,
      102, 12, 48,  24, 42,  36, 60,  0,  12,  48, 18,  12, 54,  0, 84,  18,
      39,  9,  84,  30, 66,  18, 48,  15, 72,  48, 39,  42, 48,  0, 60,  0,
      84,  30, 45,  33, 54,  6,  54,  30, 33,  30, 90,  6,  54,  0, 24,  6,
      72,  27, 78,  12, 24,  15, 66,  0,  54,  36, 21,  42, 114, 0, 60,  3,
      30,  33, 54,  27, 30,  33, 60,  6,  54,  12, 48,  33, 36,  0, 42,  12,
      45,  39, 24,  36, 96,  18, 24,  12, 33,  18, 99,  18, 66,  0, 36,  0,
      51,  24, 30,  30, 36,  15, 84,  6,  102, 48, 48,  18, 60,  0, 72,  12,
      36,  42, 60,  12, 24,  21, 30,  0,  54,  18, 60,  18, 42,  0, 66,  6,
      24,  24, 54,  15, 78,  12, 42,  27, 27,  30, 51,  27, 78,  0, 48,  6,
      120, 27, 48,  42, 24,  12, 54,  6,  54,  24, 48,  36, 66,  0, 78,  9,
      57,  21, 48,  18, 54,  33, 24,  30, 84,  18, 45,  33, 30,  0, 126, 9,
      36,  30, 27,  30, 66,  18, 54,  0,  36,  42, 48,  6,  42,  0, 54,  6,
      57,  12, 84,  54, 48,  6,  60,  6,  63,  18, 42,  36, 78,  0, 24,  24,
      33,  24, 105, 24, 66,  27, 48,  0,  48,  30, 60,  30, 54,  0, 42,  3,
      75,  48, 24,  12, 66,  12, 96,  6,  30,  12, 87,  21, 36,  0, 30,  24,
      69,  12, 57,  30, 48,  24, 54,  0,  42,  54, 24,  24, 72,  0, 60,  0,
      48,  24, 69,  24, 42,  18, 36,  12, 66,  24, 36,  42, 18,  0, 78,  9,
      48,  36, 42,  42, 36,  12, 36,  21, 78,  18, 48,  12, 102, 0, 18,  12,
      54,  24, 45,  27, 42,  13, 108, 12, 39,  24, 42,  27, 102, 0, 60,  6,
      39,  24, 54,  12, 54,  24, 24,  0,  114, 24, 63,  48, 30,  0, 48,  6,
      69,  36, 18,  12, 72,  6,  48,  18, 33,  54, 117, 12, 42,  0, 66,  12,
      48,  6,  54,  36, 42,  21, 102, 6,  48,  54, 33,  30, 48,  0, 72,  0,
      30,  24, 75,  24, 84,  30, 30,  0,  72,  18, 30,  42, 54,  0, 60,  12,
      36,  45, 42,  12, 96,  6,  66,  0,  12,  36, 78,  36, 42,  0, 36,  0,
      78,  24, 48,  24, 18,  30, 90,  15, 96,  18, 27,  21, 54,  0, 24,  21,
      48,  27, 84,  18, 48,  42, 36,  6,  66,  12, 108, 12, 42,  0, 48,  9,
      27,  60, 21,  36, 84,  6,  36,  18, 42,  18, 54,  18, 60,  0, 60,  15,
      72,  9,  99,  42, 12,  12, 60,  0,  57,  42, 18,  18, 78,  0, 42,  6,
      36,  36, 63,  9,  42,  15, 30,  18, 78,  6,  24,  48, 42,  0, 102, 12,
      75,  45, 42,  30, 84,  24, 66,  9,  24,  30, 90,  24, 42,  0, 24,  3,
      84,  21, 84,  33, 66,  24, 36,  6,  36,  48, 51,  18, 72,  0, 66,  18,
      54,  30, 24,  18, 48,  18, 30,  0,  102, 12, 45,  36, 24,  0, 102, 3,
      42,  15, 42,  54, 54,  21, 66,  24, 66,  30, 102, 3,  66,  0, 48,  12,
      24,  30, 45,  36, 54,  6,  78,  9,  48,  24, 39,  36, 96,  0, 66,  6,
      27,  27, 60,  30, 18,  30, 48,  12, 90,  24, 60,  36, 6,   0, 42,  12,
      78,  36, 36,  24, 114, 6,  60,  0,  18,  6,  69,  18, 84,  0, 36,  6,
      48,  6,  39,  24, 42,  24, 54,  6,  72,  48, 36,  42, 60,  0, 48,  0,
      36,  18, 138, 24, 30,  30, 42,  18, 75,  18, 48,  18, 24,  0, 78,  0,
      78,  57, 60,  9,  48,  9,  36,  30, 30,  42, 42,  39, 84,  0, 24,  12,
      87,  27, 30,  42, 24,  24, 90,  0,  36,  24, 60,  36, 84,  0, 42,  0,
      30,  21, 87,  12, 72,  24, 42,  12, 60,  30, 72,  21, 60,  0, 96,  12,
      30,  42, 39,  18, 66,  12, 84,  12, 63,  42, 42,  24, 42,  0, 18,  6,
      78,  15, 75,  45, 54,  12, 54,  6,  84,  30, 30,  18, 54,  0, 42,  24,
      39,  27, 96,  18, 42,  21, 48,  0,  54,  18, 33,  36, 66,  0, 84,  0,
      75,  48, 30,  42, 54,  12, 54,  15, 42,  30, 96,  18, 42,  0, 18,  6,
      123, 15, 48,  24, 48,  39, 42,  6,  21,  54, 45,  12, 60,  0, 90,  12,
      30,  36, 45,  18, 72,  21, 78,  12, 30,  12, 60,  30, 18,  0, 78,  6,
      60,  36, 33,  18, 60,  12, 30,  0,  60,  18, 90,  30, 54,  0, 36,  1,
      78,  27, 84,  30, 18,  15, 102, 9,  27,  30, 24,  57, 90,  0, 42,  9,
      48,  42, 42,  12, 72,  27, 48,  9,  108, 18, 48,  48, 18,  0, 84,  6,
      66,  24, 48,  21, 114, 6,  78,  24, 30,  30, 42,  18, 60,  0, 18,  12,
      63,  9,  51,  66, 48,  15, 54,  0,  66,  60, 36,  18, 48,  0, 66,  6,
      36,  30, 96,  9,  36,  30, 30,  24, 93,  24, 72,  24, 66,  0, 60,  24,
      48,  30, 24,  30, 72,  6,  60,  12, 30,  12, 93,  18, 72,  0, 30,  0,
      81,  30, 36,  48, 36,  30, 90,  6,  54,  24, 57,  24, 36,  0, 54,  18,
      36,  24, 78,  18, 72,  33, 12,  0,  51,  30, 48,  24, 42,  0, 90,  3,
      78,  30, 30,  27, 138, 6,  30,  18, 36,  24, 75,  24, 12,  0, 54,  12,
      42,  18, 84,  36, 30,  18, 66,  6,  45,  36, 36,  48, 114, 0, 24,  6,
      30,  21, 108, 15, 48,  18, 36,  18, 57,  24, 63,  42, 54,  0, 78,  6,
      81,  36, 18,  24, 42,  18, 120, 0,  24,  24, 66,  12, 54,  0, 48,  12,
      66,  18, 42,  36, 48,  18, 72,  6,  48,  48, 33,  6,  102, 0, 54,  24,
      39,  54, 60,  12, 90,  18, 36,  3,  111, 24, 51,  48, 42,  0, 90,  0,
      45,  36, 54,  48, 54,  24, 18,  18, 51,  18, 72,  0,  54,  0, 18,  12,
      54,  36, 57,  18, 42,  18, 120, 0,  63,  42, 27,  36, 48,  0, 54,  6,
      39,  30, 81,  18, 72,  33, 54,  9,  72,  12, 54,  54, 24,  0, 54,  15,
      75,  24, 60,  12, 78,  6,  30,  12, 39,  54, 72,  6,  54,  0, 72,  6,
      78,  12, 54,  39, 30,  15, 48,  6,  57,  48, 18,  24, 90,  0, 90,  18,
      42,  24, 39,  42, 24,  30, 42,  0,  84,  6,  66,  30, 30,  0, 30,  0,
      27,  42, 39,  33, 90,  24, 84,  18, 51,  36, 69,  24, 54,  0, 42,  18,
      87,  33, 51,  18, 42,  9,  126, 9,  84,  36, 66,  18, 54,  0, 36,  0,
      66,  12, 48,  15, 54,  30, 18,  18, 60,  18, 96,  54, 42,  0, 102, 0,
      27,  36, 30,  36, 108, 15, 54,  0,  24,  36, 60,  24, 66,  0, 30,  0,
      54,  15, 75,  48, 36,  18, 48,  24, 36,  36, 54,  15, 108, 0, 84,  18};

  for (int i = 1; i <= n; i++) {
    cout << nl << arr[i - 1];
  }
}

Error: TLE

Fixed submission:

#include <algorithm>
#include <fstream>
#include <iostream>
#include <math.h>
#include <sstream>
#include <string>
#include <vector>
using namespace std;
typedef long long ll;
typedef long double ld;

int ceil(int a, int m) {
  // division of a and m
  if (a % m == 0) {
    return a / m;
  } else {
    return a / m + 1;
  }
}

vector<int> sort(vector<int> arr) {
  sort(arr.begin(), arr.end());
  return arr;
}

int main() {

  char nl = '\\n';
  /*
  For array arr use the following preamble to sort
  int diff = sizeof(arr)/sizeof(arr[0]);
  sort(arr, arr + diff);

  */
  int counter = 0;
  int n;
  cin >> n;
  vector<ll> ins;
  for (int x = 1; x <= sqrt(n); x++) {
    for (int y = 1; y <= sqrt(n); y++) {
      for (int z = 1; z <= sqrt(n); z++) {
        ll term = x * x + y * y + z * z + x * y + x * z + y * z;
        ins.push_back(term);
      }
    }
  }
  for (int i = 1; i <= n; i++) {
    counter = 0;
    for (ll k : ins) {
      if (i == k)
        counter++;
    }
    cout << nl << counter;
  }
}