{-# OPTIONS_GHC -O2 #-}
{-# LANGUAGE BangPatterns, BinaryLiterals, CPP, DerivingStrategies  #-}
{-# LANGUAGE DerivingVia, FlexibleContexts, FlexibleInstances       #-}
{-# LANGUAGE GeneralizedNewtypeDeriving, KindSignatures, LambdaCase #-}
{-# LANGUAGE MagicHash, MultiParamTypeClasses, MultiWayIf           #-}
{-# LANGUAGE NumericUnderscores, OverloadedStrings, PatternSynonyms #-}
{-# LANGUAGE RankNTypes, RecordWildCards, ScopedTypeVariables       #-}
{-# LANGUAGE StandaloneDeriving, TupleSections, TypeApplications    #-}
{-# LANGUAGE TypeFamilies, TypeInType, UnboxedTuples, ViewPatterns  #-}

import           Control.Applicative
import           Control.Exception
import           Control.Monad
import           Control.Monad.Primitive
import           Control.Monad.Reader
import           Control.Monad.ST
import           Control.Monad.State.Strict
import           Data.Bifunctor
import           Data.Bool
import qualified Data.ByteString               as B
import qualified Data.ByteString.Builder       as B
import qualified Data.ByteString.Char8         as C
import qualified Data.ByteString.Internal      as B
import qualified Data.ByteString.Unsafe        as B
import           Data.Char
import qualified Data.Foldable                 as F
import           Data.Function
import           Data.Functor.Identity
import qualified Data.IntMap.Strict            as IM
import qualified Data.IntSet                   as IS
import qualified Data.List                     as L
import qualified Data.Map.Strict               as M
import           Data.Monoid
import           Data.Ord
import           Data.Primitive
import           Data.Proxy
import           Data.Ratio
import           Data.Semigroup
import qualified Data.Set                      as S
import           Data.Tuple
import qualified Data.Vector                   as V
import qualified Data.Vector.Generic           as G
import qualified Data.Vector.Generic.Mutable   as GM
import qualified Data.Vector.Mutable           as VM
import qualified Data.Vector.Primitive         as P
import qualified Data.Vector.Primitive.Mutable as PM
import qualified Data.Vector.Unboxed           as U
import qualified Data.Vector.Unboxed.Mutable   as UM
import           Debug.Trace
import           Foreign                       hiding (void)
import           GHC.Exts
import           GHC.TypeLits
import qualified System.IO                     as IO
import           Unsafe.Coerce

#define MOD 1000000007

main :: IO ()
main = do
    t <- readLn :: IO Int
    problems <- V.unfoldrN t (runParser parse) <$> C.getContents
    putStr.unlines.map show.V.toList $ V.map (uncurry solve) problems

parse :: Parser (Int, U.Vector (Int, Int, Int))
parse = do
    n <- int
    indices <- gets $ drop n . C.elemIndices '\n'
    bs <- case indices of
        [] -> get <* put ""
        (l:_) -> gets (C.take l) <* modify' (C.drop l)        
    return (n, U.unfoldrN n (runParser $ (,,) <$> int <*> int <*> int) bs)

solve :: Int -> U.Vector (Int, Int, Int) -> Int
solve n klrs = base + greedy ls + greedy rs
  where
    !base = U.sum $ U.map (\(_,l,r)->min l r) klrs
    ls = U.map decode . radixSort64
        . U.map (\(k,l,r) -> encode k (l-r))
        $ U.filter (\(_,l,r)->l>r) klrs
    rs = U.map decode . radixSort64
        . U.map (\(k,l,r) -> encode (n-k) (r-l))
        $ U.filter (\(_,l,r)->l<r) klrs

greedy :: U.Vector (Int, Int) -> Int
greedy kxs = runST $ do
    heap <- newMinBinaryHeap @Int (U.length kxs)
    U.forM_ kxs $ \(k, x) -> do
        sz <- getBinaryHeapSize heap
        if (sz < k)
        then insertBH x heap
        else modifyTopBH (max x) heap
    U.sum <$> freezeInternalVecBH heap

encode :: Int -> Int -> Int
encode k x = unsafeShiftL k 32 .|. x

decode :: Int -> (Int, Int)
decode kx = (k, x)
  where
    !k = unsafeShiftRL kx 32 .&. 0xffffffff
    !x = kx .&. 0xffffffff

radixSort64 :: U.Vector Int -> U.Vector Int
radixSort64 v = F.foldl' step v [0, 16, 32, 48]
  where
    mask k x = fromIntegral $ unsafeShiftR x k .&. 0xffff
    step v k = U.create $ do
        pref <- U.unsafeThaw
            . U.prescanl' (+) 0
            . U.unsafeAccumulate (+) (U.replicate 0x10000 0)
            $ U.map (flip (,) 1 . mask k) v
        res <- UM.unsafeNew $ U.length v
        U.forM_ v $ \x -> do
            let !masked = mask k x
            i <- UM.unsafeRead pref masked
            UM.unsafeWrite pref masked $ i + 1
            UM.unsafeWrite res i x
        return res
{-# INLINE radixSort64 #-}

-------------------------------------------------------------------------------
-- Utils
-------------------------------------------------------------------------------
rep :: Monad m => Int -> (Int -> m ()) -> m ()
rep !n = U.forM_ $ U.generate n id
{-# INLINE rep #-}
rev :: Monad m => Int -> (Int -> m ()) -> m ()
rev !n = U.forM_ $ U.iterateN n (subtract 1) (n - 1)
{-# INLINE rev #-}
infixl 8 `shiftRL`, `unsafeShiftRL`
shiftRL = unsafeShiftRL
{-# INLINE shiftRL #-}
unsafeShiftRL (I# x#) (I# i#) = I# (uncheckedIShiftRL# x# i#)
{-# INLINE unsafeShiftRL #-}
type Parser a = StateT C.ByteString Maybe a
runParser :: Parser a -> C.ByteString -> Maybe (a, C.ByteString)
runParser = runStateT
{-# INLINE runParser #-}
int :: Parser Int
int = coerce $ C.readInt . C.dropWhile isSpace
{-# INLINE int #-}
int1 :: Parser Int
int1 = fmap (subtract 1) int
{-# INLINE int1 #-}
char :: Parser Char
char = coerce C.uncons
{-# INLINE char #-}
byte :: Parser Word8
byte = coerce B.uncons
{-# INLINE byte #-}
-------------------------------------------------------------------------------
-- Data.Heap.Binary
-------------------------------------------------------------------------------
data BinaryHeap (f :: * -> *) s a = BinaryHeap{priorityBH :: a -> f a, intVarsBH :: !(UM.MVector s Int), internalVecBH :: !(UM.MVector s a)}
_sizeBH :: Int
_sizeBH = 0
{-# INLINE _sizeBH #-}
type MinBinaryHeap s a = BinaryHeap Identity s a
type MaxBinaryHeap s a = BinaryHeap Down s a
newBinaryHeap :: (U.Unbox a, PrimMonad m) => (a -> f a) -> Int -> m (BinaryHeap f (PrimState m) a)
newBinaryHeap prio n = BinaryHeap prio <$> UM.replicate 1 0 <*> UM.unsafeNew n
newMinBinaryHeap :: (U.Unbox a, PrimMonad m) => Int -> m (MinBinaryHeap (PrimState m) a)
newMinBinaryHeap = newBinaryHeap Identity
newMaxBinaryHeap :: (U.Unbox a, PrimMonad m) => Int -> m (MaxBinaryHeap (PrimState m) a)
newMaxBinaryHeap = newBinaryHeap Down
getBinaryHeapSize :: (PrimMonad m) => BinaryHeap f (PrimState m) a -> m Int
getBinaryHeapSize BinaryHeap{..} = UM.unsafeRead intVarsBH _sizeBH
{-# INLINE getBinaryHeapSize #-}
siftUpBy :: (U.Unbox a, PrimMonad m) => (a -> a -> Ordering) -> Int -> UM.MVector (PrimState m) a -> m ()
siftUpBy cmp k vec = do { x <- UM.unsafeRead vec k; flip fix k $ \ loop !i -> if i > 0 then do { let { parent = (i - 1) `unsafeShiftR` 1}; p <- UM.unsafeRead vec parent; case cmp p x of { GT -> UM.unsafeWrite vec i p >> loop parent; _ -> UM.unsafeWrite vec i x}} else UM.unsafeWrite vec 0 x}
{-# INLINE siftUpBy #-}
siftDownBy :: (U.Unbox a, PrimMonad m) => (a -> a -> Ordering) -> Int -> UM.MVector (PrimState m) a -> m ()
siftDownBy cmp k vec = do { x <- UM.unsafeRead vec k; let { !n = UM.length vec}; flip fix k $ \ loop !i -> do { let { l = unsafeShiftL i 1 .|. 1}; let { r = l + 1}; if n <= l then UM.unsafeWrite vec i x else do { vl <- UM.unsafeRead vec l; if r < n then do { vr <- UM.unsafeRead vec r; case cmp vr vl of { LT -> case cmp x vr of { GT -> UM.unsafeWrite vec i vr >> loop r; _ -> UM.unsafeWrite vec i x}; _ -> case cmp x vl of { GT -> UM.unsafeWrite vec i vl >> loop l; _ -> UM.unsafeWrite vec i x}}} else case cmp x vl of { GT -> UM.unsafeWrite vec i vl >> loop l; _ -> UM.unsafeWrite vec i x}}}}
{-# INLINE siftDownBy #-}
heapifyBy :: (U.Unbox a, PrimMonad m) => (a -> a -> Ordering) -> UM.MVector (PrimState m) a -> m ()
heapifyBy cmp vec = do { rev (UM.length vec `quot` 2) $ \ i -> do { siftDownBy cmp i vec}}
{-# INLINE heapifyBy #-}
class OrdVia f a where { compareVia :: (a -> f a) -> a -> a -> Ordering}
instance (Ord a) => OrdVia Identity a where { compareVia _ = coerce (compare :: Identity a -> Identity a -> Ordering); {-# INLINE compareVia #-}}
instance (Ord a) => OrdVia Down a where { compareVia _ = coerce (compare :: Down a -> Down a -> Ordering); {-# INLINE compareVia #-}}
buildBinaryHeapVia :: (OrdVia f a, U.Unbox a, PrimMonad m) => (a -> f a) -> U.Vector a -> m (BinaryHeap f (PrimState m) a)
buildBinaryHeapVia ~priorityBH vec = do { intVarsBH <- UM.replicate 1 $ U.length vec; internalVecBH <- U.thaw vec; heapifyBy (compareVia priorityBH) internalVecBH; return $! BinaryHeap{..}}
{-# INLINE buildBinaryHeapVia #-}
buildMinBinaryHeap :: (Ord a, U.Unbox a, PrimMonad m) => U.Vector a -> m (BinaryHeap Identity (PrimState m) a)
buildMinBinaryHeap = buildBinaryHeapVia Identity
{-# INLINE buildMinBinaryHeap #-}
buildMaxBinaryHeap :: (Ord a, U.Unbox a, PrimMonad m) => U.Vector a -> m (BinaryHeap Down (PrimState m) a)
buildMaxBinaryHeap = buildBinaryHeapVia Down
{-# INLINE buildMaxBinaryHeap #-}
unsafeViewBH :: (U.Unbox a, PrimMonad m) => BinaryHeap f (PrimState m) a -> m a
unsafeViewBH BinaryHeap{..} = UM.unsafeRead internalVecBH 0
{-# INLINE unsafeViewBH #-}
viewBH :: (U.Unbox a, PrimMonad m) => BinaryHeap f (PrimState m) a -> m (Maybe a)
viewBH bh = do { size <- getBinaryHeapSize bh; if size > 0 then Just <$!> unsafeViewBH bh else return $! Nothing}
{-# INLINE viewBH #-}
insertBH :: (OrdVia f a, U.Unbox a, PrimMonad m) => a -> BinaryHeap f (PrimState m) a -> m ()
insertBH x BinaryHeap{..} = do { size <- UM.unsafeRead intVarsBH _sizeBH; UM.unsafeWrite intVarsBH _sizeBH (size + 1); UM.unsafeWrite internalVecBH size x; siftUpBy (compareVia priorityBH) size internalVecBH}
{-# INLINE insertBH #-}
unsafeDeleteBH :: (OrdVia f a, U.Unbox a, PrimMonad m) => BinaryHeap f (PrimState m) a -> m ()
unsafeDeleteBH BinaryHeap{..} = do { size' <- subtract 1 <$!> UM.unsafeRead intVarsBH _sizeBH; UM.unsafeWrite intVarsBH _sizeBH size'; UM.unsafeSwap internalVecBH 0 size'; siftDownBy (compareVia priorityBH) 0 (UM.unsafeTake size' internalVecBH)}
{-# INLINE unsafeDeleteBH #-}
modifyTopBH :: (OrdVia f a, U.Unbox a, PrimMonad m) => (a -> a) -> BinaryHeap f (PrimState m) a -> m ()
modifyTopBH f BinaryHeap{..} = do { UM.unsafeModify internalVecBH f 0; size <- UM.unsafeRead intVarsBH _sizeBH; siftDownBy (compareVia priorityBH) 0 (UM.unsafeTake size internalVecBH)}
{-# INLINE modifyTopBH #-}
deleteFindTopBH :: (Ord a, U.Unbox a, PrimMonad m) => MinBinaryHeap (PrimState m) a -> m (Maybe a)
deleteFindTopBH bh = do { size <- getBinaryHeapSize bh; if size > 0 then do { !top <- unsafeViewBH bh <* unsafeDeleteBH bh; return $ Just top} else return Nothing}
{-# INLINE deleteFindTopBH #-}
clearBH :: (PrimMonad m) => BinaryHeap f (PrimState m) a -> m ()
clearBH BinaryHeap{..} = UM.unsafeWrite intVarsBH 0 0
freezeInternalVecBH :: (U.Unbox a, PrimMonad m) => BinaryHeap f (PrimState m) a -> m (U.Vector a)
freezeInternalVecBH BinaryHeap{..} = do { size <- UM.unsafeRead intVarsBH _sizeBH; U.unsafeFreeze (UM.unsafeTake size internalVecBH)}
