func zeta(_ a: [Zn]) -> [Zn] { var result = a func f(l: Int, r: Int) { guard r - l > 1 else { return } let m = (l + r) / 2 f(l: l, r: m) f(l: m, r: r) for i in 0 ..< (r - l) / 2 { result[m + i] += result[l + i] } } f(l: 0, r: a.count) return result } struct Scanner { private var elements = [String]() private var index = 0 mutating func peek() -> String { while elements.count == index { elements = readLine()!.split(separator: " ").map(String.init) index = 0 } return elements[index] } mutating func next() -> String { let value = peek() index += 1 return value } mutating func nextInt() -> Int { return Int(next())! } mutating func nextInts(_ n: Int) -> [Int] { return (0 ..< n).map { _ in nextInt() } } mutating func nextDouble() -> Double { return Double(next())! } } let MOD = 998244353 struct Zn: CustomStringConvertible { let n: Int init(_ n: Int) { self.n = n } var description: String { String(self.n) } static var zero = Zn(0) static var one = Zn(1) static func + (lhs: Self, rhs: Self) -> Self { let n = lhs.n + rhs.n return Zn(n < MOD ? n : n - MOD) } static func + (lhs: Self, rhs: Int) -> Self { return lhs + Zn(rhs) } static func + (lhs: Int, rhs: Self) -> Self { return Zn(lhs) + rhs } static func - (lhs: Self, rhs: Self) -> Self { let n = lhs.n - rhs.n return Zn(n >= 0 ? n : n + MOD) } static func - (lhs: Self, rhs: Int) -> Self { return lhs - Zn(rhs) } static func - (lhs: Int, rhs: Self) -> Self { return Zn(lhs) - rhs } static func * (lhs: Self, rhs: Self) -> Self { Zn((lhs.n * rhs.n) % MOD) } static func * (lhs: Self, rhs: Int) -> Self { return lhs * Zn(rhs) } static func * (lhs: Int, rhs: Self) -> Self { return Zn(lhs) * rhs } static func / (lhs: Zn, rhs: Zn) -> Self { return lhs * rhs.inverse } static func += (lhs: inout Self, rhs: Self) { lhs = lhs + rhs } static func += (lhs: inout Self, rhs: Int) { lhs = lhs + Zn(rhs) } static func -= (lhs: inout Self, rhs: Self) { lhs = lhs - rhs } static func -= (lhs: inout Self, rhs: Int) { lhs = lhs - Zn(rhs) } static func *= (lhs: inout Self, rhs: Self) { lhs = lhs * rhs } static func *= (lhs: inout Self, rhs: Int) { lhs = lhs * Zn(rhs) } func pow(_ n: Int) -> Self { if n == 0 { return Zn(1) } else if n % 2 == 1 { return self * self.pow(n - 1) } else { return (self * self).pow(n / 2) } } var inverse: Self { self.pow(MOD - 2) } } var scanner = Scanner() let N = scanner.nextInt() let A = scanner.nextInts(1 << N) let sum = Zn(A.reduce(0, +)) let P = A.map { $0 * sum.inverse } let ZP = zeta(P) var answer = Zn(1) let U = (1 << N) - 1 for i in 1 ..< (1 << N) { let v = ZP[U ^ i] / (1 - ZP[U ^ i]) if i.nonzeroBitCount % 2 == 1 { answer += v } else { answer -= v } } print(answer)