-- https://github.com/minoki/my-atcoder-solutions
{-# LANGUAGE BangPatterns #-}
{-# LANGUAGE MultiParamTypeClasses #-}
{-# LANGUAGE TypeFamilies #-}
import Data.Char (isSpace)
import Data.Int (Int64)
import Data.Bits
import Data.List (unfoldr)
import Data.Coerce
import Control.Monad
import qualified Data.Vector as V
import qualified Data.Vector.Unboxed as U
import qualified Data.Vector.Unboxed.Mutable as UM
import qualified Data.ByteString.Char8 as BS
---
import qualified Data.Vector.Generic
import qualified Data.Vector.Generic.Mutable

main = do
  n <- readLn -- 1 <= n <= 21
  xs <- V.replicateM n $ do
    U.toList . U.map fst . U.filter (\(_,v) -> v == 1) . U.indexed . U.unfoldrN n (BS.readInt . BS.dropWhile isSpace) <$> BS.getLine
  let result :: U.Vector N
      result = U.create $ do
        vec <- UM.replicate (2^n) invalidN
        UM.write vec 0 1
        -- loop i y: i 番目以降の男性の集合と女性の集合 y に関して、組み合わせの数を計算する。
        --           y に関しては、 Int をビットの集合とみなす。
        -- Invariant: i + popCount y == n
        -- loop :: Int -> Int -> ST s N
        let loop !i !y | i == n = return 1
            loop !i !y = do
              -- x, y: 相手が決まっていない男性、女性の集合
              z <- UM.read vec y
              if z /= invalidN
                then return z
                else do s <- foldM (\x a -> (x +) <$> a) 0
                             [ loop (i + 1) (clearBit y j)
                             | j <- xs V.! i
                             , testBit y j
                             ]
                        UM.write vec y s
                        return s
        loop 0 (2^n-1)
        return vec
  -- print result
  print $ result U.! (2^n-1)

---

modulo :: Int64
modulo = 10^9+7
addMod, subMod, mulMod :: Int64 -> Int64 -> Int64
addMod !x !y | x + y >= modulo = x + y - modulo
             | otherwise = x + y
subMod !x !y | x >= y = x - y
             | otherwise = x - y + modulo
mulMod !x !y = (x * y) `rem` modulo

newtype N = N { unwrapN :: Int64 } deriving (Eq)
instance Show N where
  show (N x) = show x
instance Num N where
  (+) = coerce addMod
  (-) = coerce subMod
  (*) = coerce mulMod
  fromInteger n = N (fromInteger (n `mod` fromIntegral modulo))
  abs = undefined; signum = undefined
invalidN = N modulo

---

newtype instance UM.MVector s N = MV_N (UM.MVector s Int64)
newtype instance U.Vector N = V_N (U.Vector Int64)

instance Data.Vector.Generic.Mutable.MVector UM.MVector N where -- needs MultiParamTypeClasses here
  basicLength (MV_N mv) = Data.Vector.Generic.Mutable.basicLength mv
  basicUnsafeSlice i l (MV_N mv) = MV_N (Data.Vector.Generic.Mutable.basicUnsafeSlice i l mv)
  basicOverlaps (MV_N mv) (MV_N mv') = Data.Vector.Generic.Mutable.basicOverlaps mv mv'
  basicUnsafeNew l = MV_N <$> Data.Vector.Generic.Mutable.basicUnsafeNew l
  basicInitialize (MV_N mv) = Data.Vector.Generic.Mutable.basicInitialize mv
  basicUnsafeReplicate i x = MV_N <$> Data.Vector.Generic.Mutable.basicUnsafeReplicate i (coerce x)
  basicUnsafeRead (MV_N mv) i = coerce <$> Data.Vector.Generic.Mutable.basicUnsafeRead mv i
  basicUnsafeWrite (MV_N mv) i x = Data.Vector.Generic.Mutable.basicUnsafeWrite mv i (coerce x)
  basicClear (MV_N mv) = Data.Vector.Generic.Mutable.basicClear mv
  basicSet (MV_N mv) x = Data.Vector.Generic.Mutable.basicSet mv (coerce x)
  basicUnsafeCopy (MV_N mv) (MV_N mv') = Data.Vector.Generic.Mutable.basicUnsafeCopy mv mv'
  basicUnsafeMove (MV_N mv) (MV_N mv') = Data.Vector.Generic.Mutable.basicUnsafeMove mv mv'
  basicUnsafeGrow (MV_N mv) n = MV_N <$> Data.Vector.Generic.Mutable.basicUnsafeGrow mv n

instance Data.Vector.Generic.Vector U.Vector N where -- needs MultiParamTypeClasses here
  basicUnsafeFreeze (MV_N mv) = V_N <$> Data.Vector.Generic.basicUnsafeFreeze mv
  basicUnsafeThaw (V_N v) = MV_N <$> Data.Vector.Generic.basicUnsafeThaw v
  basicLength (V_N v) = Data.Vector.Generic.basicLength v
  basicUnsafeSlice i l (V_N v) = V_N (Data.Vector.Generic.basicUnsafeSlice i l v)
  basicUnsafeIndexM (V_N v) i = coerce <$> Data.Vector.Generic.basicUnsafeIndexM v i
  basicUnsafeCopy (MV_N mv) (V_N v) = Data.Vector.Generic.basicUnsafeCopy mv v
  elemseq (V_N v) x y = Data.Vector.Generic.elemseq v (coerce x) y

instance U.Unbox N


Measured memory_bytes: 18940