public static void main ( String [ ] args ) {
  Scanner sc = new Scanner ( System . in ) ;
  int n = sc . nextInt ( ) ;
  int a = sc . nextInt ( ) ;
  int [ ] num = new int [ n + 1 ] ;
  long ans = 0 ;
  long [ ] [ ] [ ] dp = new long [ n + 1 ] [ n + 1 ] [ n * a + 1 ] ;
  num [ 0 ] = 1000000007 ;
  for ( int i = 1 ;
  i <= n ;
  i ++ ) {
    num [ i ] = sc . nextInt ( ) ;
  }
  for ( int i = 0 ;
  i <= n ;
  i ++ ) {
    for ( int j = 0 ;
    j <= i ;
    j ++ ) {
      for ( int k = 0 ;
      k <= n * a ;
      k ++ ) {
        if ( i == 0 && j == 0 && k == 0 ) {
          dp [ i ] [ j ] [ k ] = 1 ;
        }
        else if ( i >= 1 && k < num [ i ] ) {
          dp [ i ] [ j ] [ k ] = dp [ i - 1 ] [ j ] [ k ] ;
        }
        else if ( i >= 1 && j >= 1 && k >= num [ i ] ) {
          dp [ i ] [ j ] [ k ] = dp [ i - 1 ] [ j ] [ k ] + dp [ i - 1 ] [ j - 1 ] [ k - num [ i ] ] ;
        }
        else {
          dp [ i ] [ j ] [ k ] = 0 ;
        }
      }
    }
  }
  for ( int i = 1 ;
  i <= n ;
  i ++ ) {
    ans += dp [ n ] [ i ] [ i * a ] ;
  }
  System . out . println ( ans ) ;
  sc . close ( ) ;
}

public static void main ( String [ ] args ) { Scanner sc = new Scanner ( System . in ) ; int n = sc . nextInt ( ) ; int a = sc . nextInt ( ) ; int [ ] num = new int [ n + 1 ] ; long ans = 0 ; long [ ] [ ] [ ] dp = new long [ n + 1 ] [ n + 1 ] [ n * a + 1 ] ; num [ 0 ] = 1000000007 ; for ( int i = 1 ; i <= n ; i ++ ) { num [ i ] = sc . nextInt ( ) ; } for ( int i = 0 ; i <= n ; i ++ ) { for ( int j = 0 ; j <= i ; j ++ ) { for ( int k = 0 ; k <= n * a ; k ++ ) { if ( i == 0 && j == 0 && k == 0 ) { dp [ i ] [ j ] [ k ] = 1 ; } else if ( i >= 1 && k < num [ i ] ) { dp [ i ] [ j ] [ k ] = dp [ i - 1 ] [ j ] [ k ] ; } else if ( i >= 1 && j >= 1 && k >= num [ i ] ) { dp [ i ] [ j ] [ k ] = dp [ i - 1 ] [ j ] [ k ] + dp [ i - 1 ] [ j - 1 ] [ k - num [ i ] ] ; } else { dp [ i ] [ j ] [ k ] = 0 ; } } } } for ( int i = 1 ; i <= n ; i ++ ) { ans += dp [ n ] [ i ] [ i * a ] ; } System . out . println ( ans ) ; sc . close ( ) ; }
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name: (identifier) value: (array_creation_expression type: (integral_type) dimensions: (dimensions_expr (binary_expression left: (identifier) right: (decimal_integer_literal)))))) (local_variable_declaration type: (integral_type) declarator: (variable_declarator name: (identifier) value: (decimal_integer_literal))) (local_variable_declaration type: (array_type element: (integral_type) dimensions: (dimensions)) declarator: (variable_declarator name: (identifier) value: (array_creation_expression type: (integral_type) dimensions: (dimensions_expr (binary_expression left: (identifier) right: (decimal_integer_literal))) dimensions: (dimensions_expr (binary_expression left: (identifier) right: (decimal_integer_literal))) dimensions: (dimensions_expr (binary_expression left: (binary_expression left: (identifier) right: (identifier)) right: (decimal_integer_literal)))))) (expression_statement (assignment_expression left: (array_access array: (identifier) index: (decimal_integer_literal)) 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 (expression_statement (assignment_expression left: (array_access array: (identifier) index: (identifier)) right: (method_invocation object: (identifier) name: (identifier) arguments: (argument_list)))))) (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: (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: (decimal_integer_literal))) condition: (binary_expression left: (identifier) right: (binary_expression left: (identifier) right: (identifier))) update: (update_expression (identifier)) body: (block (if_statement condition: (parenthesized_expression (binary_expression left: (binary_expression left: (binary_expression left: (identifier) right: (decimal_integer_literal)) right: (binary_expression left: (identifier) right: (decimal_integer_literal))) right: (binary_expression left: (identifier) right: (decimal_integer_literal)))) consequence: (block (expression_statement (assignment_expression left: (array_access array: (array_access array: (array_access array: (identifier) index: (identifier)) index: (identifier)) index: (identifier)) right: (decimal_integer_literal)))) alternative: (if_statement condition: (parenthesized_expression (binary_expression left: (binary_expression left: (identifier) right: (decimal_integer_literal)) right: (binary_expression left: (identifier) right: (array_access array: (identifier) index: (identifier))))) consequence: (block (expression_statement (assignment_expression left: (array_access array: (array_access array: (array_access array: (identifier) index: (identifier)) index: (identifier)) index: (identifier)) right: (array_access array: (array_access array: (array_access array: (identifier) index: (binary_expression left: (identifier) right: (decimal_integer_literal))) index: (identifier)) index: (identifier))))) alternative: (if_statement condition: (parenthesized_expression (binary_expression left: (binary_expression left: (binary_expression left: (identifier) right: (decimal_integer_literal)) right: (binary_expression left: (identifier) right: (decimal_integer_literal))) right: (binary_expression left: (identifier) right: (array_access array: (identifier) index: (identifier))))) consequence: (block (expression_statement (assignment_expression left: (array_access array: (array_access array: (array_access array: (identifier) index: (identifier)) index: (identifier)) index: (identifier)) right: (binary_expression left: (array_access array: (array_access array: (array_access array: (identifier) index: (binary_expression left: (identifier) right: (decimal_integer_literal))) index: (identifier)) index: (identifier)) right: (array_access array: (array_access array: (array_access array: (identifier) index: (binary_expression left: (identifier) right: (decimal_integer_literal))) index: (binary_expression left: (identifier) right: (decimal_integer_literal))) index: (binary_expression left: (identifier) right: (array_access array: (identifier) index: (identifier)))))))) alternative: (block (expression_statement (assignment_expression left: (array_access array: (array_access array: (array_access array: (identifier) index: (identifier)) index: (identifier)) index: (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 (expression_statement (assignment_expression left: (identifier) right: (array_access array: (array_access array: (array_access array: (identifier) index: (identifier)) index: (identifier)) index: (binary_expression left: (identifier) right: (identifier))))))) (expression_statement (method_invocation object: (field_access object: (identifier) field: (identifier)) name: (identifier) arguments: (argument_list (identifier)))) (expression_statement (method_invocation object: (identifier) name: (identifier) arguments: (argument_list)))))