title: Sequences Given Length Every Element Equal Twice Previous 1
signature: function sequences_given_length_every_element_equal_twice_previous_1(m, n)
test_code: 
  
  -- SOLUTION CODE
  -- ============================================
  PLACEHOLDER_CODE_BODY
  
  -- TESTING CODE 
  -- ============================================
  function isCorrect(actual, expected)
      if type(expected) ~= type(actual) then
          return false
      end
      
      if type(expected) == 'table' then
          for k,v_expected in pairs(expected) do
              
              if actual[k] == nil then
                  return false
              end
              local v_actual = actual[k]
              if not isCorrect(v_actual, v_expected) then
                  return false
              end
              actual[k]=nil
          end
      
          if next(actual) then 
              return false
          end
          return true
      else
          return actual == expected
      end
  end
  
  function validateSolution(actual, expected)
      return isCorrect(actual,expected)
  end
  
  function driver(m, n, expected)
      local exec_result;
      local status, error_msg = pcall(function () 
          exec_result=PLACEHOLDER_FN_NAME(m, n) 
      end)
      if status then
          if validateSolution(exec_result,expected) then
              return "PASSED"
          end
          return "FAILED"
      else
          return string.format("ERROR=%s",string.gsub(error_msg,".*:[%d]+: ",""))
      end
  end
      
  function main()
      result = driver(10, 4, 4)
      print(string.format("TEST-0...%s",result))
  
      result = driver(5, 2, 6)
      print(string.format("TEST-1...%s",result))
  
      result = driver(2, 8, 0)
      print(string.format("TEST-2...%s",result))
  
      result = driver(83, 7, 330)
      print(string.format("TEST-3...%s",result))
  
      result = driver(91, 0, 0)
      print(string.format("TEST-4...%s",result))
  
      result = driver(18, 53, 0)
      print(string.format("TEST-5...%s",result))
  
      result = driver(83, 41, 0)
      print(string.format("TEST-6...%s",result))
  
      result = driver(98, 53, 0)
      print(string.format("TEST-7...%s",result))
  
      result = driver(43, 37, 0)
      print(string.format("TEST-8...%s",result))
  
      result = driver(31, 20, 0)
      print(string.format("TEST-9...%s",result))
  
  end
  
  main()
source_py: def sequences_given_length_every_element_equal_twice_previous_1(m, n):
      T = [[0 for i in range((n + 1))] for i in range((m + 1))]
      for i in range((m + 1)):
          for j in range((n + 1)):
              if ((i == 0) or (j == 0)):
                  T[i][j] = 0
              elif (i < j):
                  T[i][j] = 0
              elif (j == 1):
                  T[i][j] = i
              else:
                  T[i][j] = (T[(i - 1)][j] + T[(i // 2)][(j - 1)])
      return T[m][n]
source_cpp: int sequences_given_length_every_element_equal_twice_previous_1(int m, int n) {
    int T [ m + 1 ] [ n + 1 ];
    for ( int i = 0;
    i < m + 1;
    i ++ ) {
      for ( int j = 0;
      j < n + 1;
      j ++ ) {
        if ( i == 0 || j == 0 ) T [ i ] [ j ] = 0;
        else if ( i < j ) T [ i ] [ j ] = 0;
        else if ( j == 1 ) T [ i ] [ j ] = i;
        else T [ i ] [ j ] = T [ i - 1 ] [ j ] + T [ i / 2 ] [ j - 1 ];
      }
    }
    return T [ m ] [ n ];
  }