private static BigInteger partitions ( int n , int k ) {
  BigInteger [ ] [ ] table = new BigInteger [ n + 1 ] [ n + 1 ] ;
  for ( int i = 0 ;
  i <= n ;
  i ++ ) {
    for ( int j = n ;
    j >= 0 ;
    j -- ) {
      if ( j == i ) table [ i ] [ j ] = BigInteger . ONE ;
      else if ( j > i ) table [ i ] [ j ] = BigInteger . ZERO ;
      else if ( j == 0 ) table [ i ] [ j ] = table [ i ] [ j + 1 ] ;
      else table [ i ] [ j ] = table [ i ] [ j + 1 ] . add ( table [ i - j ] [ j ] ) ;
    }
  }
  return table [ n ] [ k ] ;
}

private static BigInteger partitions ( int n , int k ) { BigInteger [ ] [ ] table = new BigInteger [ n + 1 ] [ n + 1 ] ; for ( int i = 0 ; i <= n ; i ++ ) { for ( int j = n ; j >= 0 ; j -- ) { if ( j == i ) table [ i ] [ j ] = BigInteger . ONE ; else if ( j > i ) table [ i ] [ j ] = BigInteger . ZERO ; else if ( j == 0 ) table [ i ] [ j ] = table [ i ] [ j + 1 ] ; else table [ i ] [ j ] = table [ i ] [ j + 1 ] . add ( table [ i - j ] [ j ] ) ; } } return table [ n ] [ k ] ; }
(method_declaration (modifiers) type: (type_identifier) name: (identifier) parameters: (formal_parameters (formal_parameter type: (integral_type) name: (identifier)) (formal_parameter type: (integral_type) name: (identifier))) body: (block (local_variable_declaration type: (array_type element: (type_identifier) dimensions: (dimensions)) declarator: (variable_declarator name: (identifier) value: (array_creation_expression type: (type_identifier) dimensions: (dimensions_expr (binary_expression left: (identifier) right: (decimal_integer_literal))) dimensions: (dimensions_expr (binary_expression left: (identifier) right: (decimal_integer_literal)))))) (for_statement init: (local_variable_declaration type: (integral_type) declarator: (variable_declarator name: (identifier) value: (decimal_integer_literal))) condition: (binary_expression left: (identifier) right: (identifier)) update: (update_expression (identifier)) body: (block (for_statement init: (local_variable_declaration type: (integral_type) declarator: (variable_declarator name: (identifier) value: (identifier))) condition: (binary_expression left: (identifier) right: (decimal_integer_literal)) update: (update_expression (identifier)) body: (block (if_statement condition: (parenthesized_expression (binary_expression left: (identifier) right: (identifier))) consequence: (expression_statement (assignment_expression left: (array_access array: (array_access array: (identifier) index: (identifier)) index: (identifier)) right: (field_access object: (identifier) field: (identifier)))) alternative: (if_statement condition: (parenthesized_expression (binary_expression left: (identifier) right: (identifier))) consequence: (expression_statement (assignment_expression left: (array_access array: (array_access array: (identifier) index: (identifier)) index: (identifier)) right: (field_access object: (identifier) field: (identifier)))) alternative: (if_statement condition: (parenthesized_expression (binary_expression left: (identifier) right: (decimal_integer_literal))) consequence: (expression_statement (assignment_expression left: (array_access array: (array_access array: (identifier) index: (identifier)) index: (identifier)) right: (array_access array: (array_access array: (identifier) index: (identifier)) index: (binary_expression left: (identifier) right: (decimal_integer_literal))))) alternative: (expression_statement (assignment_expression left: (array_access array: (array_access array: (identifier) index: (identifier)) index: (identifier)) right: (method_invocation object: (array_access array: (array_access array: (identifier) index: (identifier)) index: (binary_expression left: (identifier) right: (decimal_integer_literal))) name: (identifier) arguments: (argument_list (array_access array: (array_access array: (identifier) index: (binary_expression left: (identifier) right: (identifier))) index: (identifier))))))))))))) (return_statement (array_access array: (array_access array: (identifier) index: (identifier)) index: (identifier)))))