#include <iostream>
using namespace std;

// file: pow2.cpp
// while loops, functions, width
// while loops
// example for creating a math table

int pow(int num, int exp)
// precondition: reasonable int num and
//   small positive int exp
// postcondition: returns num^exp
{
   int prod = 1, i = 0;

   while (i < exp)
   {
      prod *= num;
      i++;
   }
   return prod;
}

int main()
{
   int size, j = 0;

   cout << "Specify table size (be modest!): ";
   cin >> size;
   cout << "  N  N^2   N^3    N^4     N^5       N^6" << endl;
   while ( j < size)
   {
      j++;
      cout.width(3);
      cout << j ;
      cout.width(5);
      cout << pow(j, 2);
      cout.width(6);
      cout << pow(j, 3);
      cout.width(7);
      cout << pow(j, 4);
      cout.width(8);
      cout << pow(j, 5);
      cout.width(10);
      cout << pow(j, 6) << endl;
   }
   return 0;
}

/*

prompt> pow2
Specify table size (be modest!): 20
  N  N^2   N^3    N^4     N^5       N^6
  1    1     1      1       1         1
  2    4     8     16      32        64
  3    9    27     81     243       729
  4   16    64    256    1024      4096
  5   25   125    625    3125     15625
  6   36   216   1296    7776     46656
  7   49   343   2401   16807    117649
  8   64   512   4096   32768    262144
  9   81   729   6561   59049    531441
 10  100  1000  10000  100000   1000000
 11  121  1331  14641  161051   1771561
 12  144  1728  20736  248832   2985984
 13  169  2197  28561  371293   4826809
 14  196  2744  38416  537824   7529536
 15  225  3375  50625  759375  11390625
 16  256  4096  65536 1048576  16777216
 17  289  4913  83521 1419857  24137569
 18  324  5832 104976 1889568  34012224
 19  361  6859 130321 2476099  47045881
 20  400  8000 160000 3200000  64000000

*/