{-# LANGUAGE BangPatterns               #-}
{-# LANGUAGE BinaryLiterals             #-}
{-# LANGUAGE CPP                        #-}
{-# LANGUAGE DerivingStrategies         #-}
{-# LANGUAGE DerivingVia                #-}
{-# LANGUAGE FlexibleContexts           #-}
{-# LANGUAGE FlexibleInstances          #-}
{-# LANGUAGE GeneralizedNewtypeDeriving #-}
{-# LANGUAGE LambdaCase                 #-}
{-# LANGUAGE MagicHash                  #-}
{-# LANGUAGE MultiParamTypeClasses      #-}
{-# LANGUAGE MultiWayIf                 #-}
{-# LANGUAGE NumericUnderscores         #-}
{-# LANGUAGE OverloadedStrings          #-}
{-# LANGUAGE RankNTypes                 #-}
{-# LANGUAGE RecordWildCards            #-}
{-# LANGUAGE ScopedTypeVariables        #-}
{-# LANGUAGE StandaloneDeriving         #-}
{-# LANGUAGE TupleSections              #-}
{-# LANGUAGE TypeApplications           #-}
{-# LANGUAGE TypeFamilies               #-}
{-# LANGUAGE TypeInType                 #-}
{-# LANGUAGE UnboxedTuples              #-}
{-# LANGUAGE ViewPatterns               #-}
{- base              -}
import           Control.Arrow
import           Control.Monad
import           Control.Monad.ST
import           Control.Monad.Fix
import           Control.Monad.Identity
import           Data.Bits
import           Data.Bool
import           Data.Char
import qualified Data.Complex                      as C
import qualified Data.Foldable                     as F
import qualified Data.List                         as L
import           Data.IORef
import           Data.Ix
import qualified Data.Maybe                        as M
import           Data.Monoid
import qualified Data.Ord                          as O
import qualified Data.Ratio                        as R
import           Data.Semigroup
import           Data.Word
import           GHC.Exts
import qualified System.IO                         as SysIO
import           Unsafe.Coerce
{- array             -}
import qualified Data.Array                        as Arr
import qualified Data.Array.IO                     as ArrIO
import qualified Data.Array.MArray                 as ArrMA
import qualified Data.Array.ST                     as ArrST
import qualified Data.Array.Unboxed                as ArrU
{- bytestring        -}
import qualified Data.ByteString                   as BS
import qualified Data.ByteString.Builder           as BSB
import qualified Data.ByteString.Char8             as BSC8
import qualified Data.ByteString.Lazy.Char8        as BSLC8
import qualified Data.ByteString.Short             as BSS
import qualified Data.ByteString.Unsafe            as BSU
{- containers        -}
import           Data.IntMap                       (IntMap)
import qualified Data.IntMap                       as IntMap
import           Data.IntSet                       (IntSet)
import qualified Data.IntSet                       as IntSet
import           Data.Map                          (Map)
import qualified Data.Map                          as Map
import           Data.Set                          (Set)
import qualified Data.Set                          as Set
{- deepseq           -}
import           Control.DeepSeq
{- integer-gmp       -}
import qualified GHC.Integer.GMP.Internals         as GMP
import qualified GHC.Integer.Logarithms.Internals  as LOG
{- mtl               -}
import qualified Control.Monad.State               as MState
{- time              -}
import           Data.Time.Clock.POSIX             (getPOSIXTime)
{- vector            -}
import qualified Data.Vector                       as V
import qualified Data.Vector.Fusion.Stream.Monadic as VFSM
import qualified Data.Vector.Generic               as VG
import qualified Data.Vector.Generic.Mutable       as VGM
import qualified Data.Vector.Mutable               as VM
import qualified Data.Vector.Primitive             as VP
import qualified Data.Vector.Primitive.Mutable     as VPM
import qualified Data.Vector.Unboxed               as VU
import qualified Data.Vector.Unboxed.Mutable       as VUM
{- vector-algorithms -}
-- import qualified Data.Vector.Algorithms.Tim        as Tim
-- import qualified Data.Vector.Algorithms.Intro      as Intro

#define MOD 1000000007

-------------------------------------------------------------------------------
-- main
-------------------------------------------------------------------------------
main :: IO ()
main = do
  [n, k] <- map read . words <$> getLine
  bit <- newBIT 2000000
  rep n $ \_ -> do
    w <- parse1
    if w > 0
      then do
        temp1 <- bit -|-! 2000000
        temp2 <- bit -|-! (w - 1)
        when (temp1 - temp2 < k) $ incBIT w 1 bit
      else do
        let w' = abs w
        temp3 <- bit -|-! w'
        temp4 <- bit -|-! (w' - 1)
        when (temp3 - temp4 > 0) $ incBIT w' (-1) bit
  print =<< bit -|-! 2000000

-------------------------------------------------------------------------------
-- BinaryIndexedTree
-------------------------------------------------------------------------------
type BinaryIndexedTree = ArrIO.IOUArray Int Int

newBIT :: Int -> IO BinaryIndexedTree
newBIT n = ArrMA.newListArray (1, n) $ repeat 0

(-|-!) :: BinaryIndexedTree -> Int -> IO Int
(-|-!) bit i = f i 0
  where
    f i acc
      | i < 1 = return acc
      | otherwise = do
          acc' <- (+acc) <$> ArrMA.readArray bit i
          let i' = i - (i .&. (-i))
          f i' acc'

incBIT :: Int -> Int -> BinaryIndexedTree -> IO ()
incBIT i v bit = do
  (_, u) <- ArrMA.getBounds bit
  _func i u v bit
    where
      _func :: (ArrMA.MArray a b f, Ix c, Num b, Num c, Bits c) => c -> c -> b -> a c b -> f ()
      _func z u v bit = when (z <= u) $ do
        ArrMA.writeArray bit z . (+ v) =<< ArrMA.readArray bit z
        _func (z + (z .&. (-z))) u v bit

-------------------------------------------------------------------------------
-- utils
-------------------------------------------------------------------------------
fi :: Int -> Integer
fi = fromIntegral
{-# INLINE fi #-}

fI :: Integer -> Int
fI = fromInteger
{-# INLINE fI #-}

powModInt :: Int -> Int -> Int -> Int
powModInt a b c = fI $ GMP.powModInteger (fi a) (fi b) (fi c)
{-# INLINE powModInt #-}

recipModInt :: Int -> Int -> Int
recipModInt a m = fI $ GMP.recipModInteger (fi a) (fi m)
{-# INLINE recipModInt #-}

infixl 8 .<<., .>>., .>>>.
infixl 6 .^.
(.<<.) :: Bits b => b -> Int -> b
(.<<.) = unsafeShiftL
{-# INLINE (.<<.) #-}

(.>>.) :: Bits b => b -> Int -> b
(.>>.) = unsafeShiftR
{-# INLINE (.>>.) #-}

(.>>>.) :: Int -> Int -> Int
(.>>>.) (I# x#) (I# i#) = I# (uncheckedIShiftRL# x# i#)
{-# INLINE (.>>>.) #-}

(.^.) :: Bits b => b -> b -> b
(.^.) = xor
{-# INLINE (.^.) #-}

stream :: Monad m => Int -> Int -> VFSM.Stream m Int
stream !l !r = VFSM.Stream step l
  where
    step x
      | x < r     = return $ VFSM.Yield x (x + 1)
      | otherwise = return $ VFSM.Done
    {-# INLINE [0] step #-}
{-# INLINE [1] stream #-}

rep :: Monad m => Int -> (Int -> m ()) -> m ()
rep n = flip VFSM.mapM_ (stream 0 n)
{-# INLINE rep #-}

streamR :: Monad m => Int -> Int -> VFSM.Stream m Int
streamR !l !r = VFSM.Stream step (r - 1)
  where
    step x
      | x >= l    = return $ VFSM.Yield x (x - 1)
      | otherwise = return $ VFSM.Done
    {-# INLINE [0] step #-}
{-# INLINE [1] streamR #-}

rev :: Monad m => Int -> (Int -> m ()) -> m ()
rev !n = flip VFSM.mapM_ (streamR 0 n)
{-# INLINE rev #-}

streamStep :: Monad m => Int -> Int -> Int -> VFSM.Stream m Int
streamStep !l !r !d = VFSM.Stream step l
  where
    step x
      | x < r     = return $ VFSM.Yield x (x + d)
      | otherwise = return $ VFSM.Done
    {-# INLINE [0] step #-}
{-# INLINE [1] streamStep #-}

-------------------------------------------------------------------------------
-- input
-------------------------------------------------------------------------------
type Parser a = BSC8.ByteString -> Maybe (a, BSC8.ByteString)
parseInt :: Parser Int
parseInt = fmap (second BSC8.tail) . BSC8.readInt
parseChar :: IO (VU.Vector Char)
parseChar = VU.fromList <$> getLine
parse1 :: IO Int
parse1 = readLn
parse2 :: IO (Int, Int)
parse2 = (\vec -> (vec VU.! 0, vec VU.! 1)) . VU.unfoldrN 2 parseInt <$> BSC8.getLine
parse3 :: IO (Int, Int, Int)
parse3 = (\vec -> (vec VU.! 0, vec VU.! 1, vec VU.! 2)) . VU.unfoldrN 3 parseInt <$> BSC8.getLine
parse4 :: IO (Int, Int, Int, Int)
parse4 = (\vec -> (vec VU.! 0, vec VU.! 1, vec VU.! 2, vec VU.! 3)) . VU.unfoldrN 4 parseInt <$> BSC8.getLine
parseM :: Int -> IO (VU.Vector Int)
parseM m = VU.unfoldrN m parseInt <$> BSC8.getLine
parseN1 :: Int -> IO (VU.Vector Int)
parseN1 n = VU.replicateM n parse1
parseN2 :: Int -> IO (VU.Vector (Int, Int))
parseN2 n = VU.replicate n <$> parse2
parseN3 :: Int -> IO (VU.Vector (Int, Int, Int))
parseN3 n = VU.replicate n <$> parse3
parseN4 :: Int -> IO (VU.Vector (Int ,Int, Int, Int))
parseN4 n = VU.replicate n <$> parse4
parseNM :: Int -> Int -> IO (V.Vector (VU.Vector Int))
parseNM n m = V.replicateM n $ VU.unfoldrN m parseInt <$> BSC8.getLine
parseANBN :: Int -> IO (VU.Vector Int, VU.Vector Int)
parseANBN n = do
  vectup <- VU.replicateM n $ (\vec -> (vec VU.! 0, vec VU.! 1)) . VU.unfoldr (BSC8.readInt . BSC8.dropWhile isSpace) <$> BSC8.getLine
  return $ VU.unzip vectup
parseANBNCN :: Int -> IO (VU.Vector Int, VU.Vector Int, VU.Vector Int)
parseANBNCN n = do
  vectup <- VU.replicateM n $ (\vec -> (vec VU.! 0, vec VU.! 1, vec VU.! 2)) . VU.unfoldr (BSC8.readInt . BSC8.dropWhile isSpace) <$> BSC8.getLine
  return $ VU.unzip3 vectup


type CParser a = MState.StateT BSC8.ByteString Maybe a
runCParser :: CParser a -> BSC8.ByteString -> Maybe (a, BSC8.ByteString)
runCParser = MState.runStateT
{-# INLINE runCParser #-}
int :: CParser Int
int = coerce $ BSC8.readInt . BSC8.dropWhile isSpace
{-# INLINE int #-}
int1 :: CParser Int
int1 = fmap (subtract 1) int
{-# INLINE int1 #-}
char :: CParser Char
char = coerce BSC8.uncons
{-# INLINE char #-}
byte :: CParser Word8
byte = coerce BS.uncons
{-# INLINE byte #-}
skipSpaces :: CParser ()
skipSpaces = MState.modify' (BSC8.dropWhile isSpace)
{-# INLINE skipSpaces #-}


v2BLinesWith :: VG.Vector v t => (t -> BSB.Builder) -> v t -> BSB.Builder
v2BLinesWith showFct = VG.foldr (\ a -> (showFct a <>) . (BSB.char7 '\n' <>)) mempty
{-# INLINE v2BLinesWith #-}
putBuilder :: BSB.Builder -> IO ()
putBuilder = BSB.hPutBuilder SysIO.stdout
{-# INLINE putBuilder #-}

getVUInt :: IO (VU.Vector Int)
getVUInt = VU.unfoldr (BSC8.readInt . BSC8.dropWhile isSpace) <$> BSC8.getLine

-------------------------------------------------------------------------------
-- Mint
-------------------------------------------------------------------------------
modulus :: Num a => a
modulus = MOD
{-# INLINE modulus #-}

infixr 8 ^%
infixl 7 *%, /%
infixl 6 +%, -%

(+%) :: Int -> Int -> Int
(I# x#) +% (I# y#) = case x# +# y# of
  r# -> I# (r# -# ((r# >=# MOD#) *# MOD#))
{-# INLINE (+%) #-}
(-%) :: Int -> Int -> Int
(I# x#) -% (I# y#) = case x# -# y# of
  r# -> I# (r# +# ((r# <# 0#) *# MOD#))
{-# INLINE (-%) #-}
(*%) :: Int -> Int -> Int
(I# x#) *% (I# y#) = case timesWord# (int2Word# x#) (int2Word# y#) of
  z# -> case timesWord2# z# im# of
    (# q#, _ #) -> case minusWord# z# (timesWord# q# m#) of
      v# | isTrue# (geWord# v# m#) -> I# (word2Int# (plusWord# v# m#))
         | otherwise -> I# (word2Int# v#)
  where
    m#  = int2Word# MOD#
    im# = plusWord# (quotWord# 0xffffffffffffffff## m#) 1##
{-# INLINE (*%) #-}
(/%) :: Int -> Int -> Int
(I# x#) /% (I# y#) = go# y# MOD# 1# 0#
  where
    go# a# b# u# v#
      | isTrue# (b# ># 0#) = case a# `quotInt#` b# of
        q# -> go# b# (a# -# (q# *# b#)) v# (u# -# (q# *# v#))
      | otherwise = I# ((x# *# (u# +# MOD#)) `remInt#` MOD#)
{-# INLINE (/%) #-}
(^%) :: Int -> Int -> Int
x ^% n
  | n > 0  = go 1 x n
  | n == 0 = 1
  | otherwise = go 1 (1 /% x) (-n)
  where
    go !acc !y !m
      | m .&. 1 == 0 = go acc (y *% y) (unsafeShiftR m 1)
      | m == 1       = acc *% y
      | otherwise    = go (acc *% y) (y *% y) (unsafeShiftR (m - 1) 1)

newtype Mint = Mint { getMint :: Int }
  deriving newtype (Eq, Ord, Read, Show, Real)

mint :: Integral a => a -> Mint
mint x = fromIntegral $ mod (fromIntegral x) MOD
{-# INLINE mint #-}

mintValidate :: Mint -> Bool
mintValidate (Mint x) = 0 <= x && x < MOD
{-# INLINE mintValidate #-}

instance Bounded Mint where
  minBound = Mint 0
  maxBound = Mint $ modulus - 1

instance Enum Mint where
  toEnum = mint
  fromEnum = coerce

instance Integral Mint where
  quotRem x y = (x / y, x - x / y * y)
  toInteger = coerce (toInteger @Int)

instance Num Mint where
  (+) = coerce (+%)
  (-) = coerce (-%)
  (*) = coerce (*%)
  abs = id
  signum = const (Mint 1)
  fromInteger x = coerce @Int @Mint . fromInteger $ mod x modulus

instance Fractional Mint where
  (/) = coerce (/%)
  fromRational q = fromInteger (R.numerator q) / fromInteger (R.denominator q)

newtype instance VUM.MVector s Mint = MV_Mint (VUM.MVector s Int)
newtype instance VU.Vector Mint = V_Mint (VU.Vector Int)

instance VU.Unbox Mint

instance VGM.MVector VUM.MVector Mint where
  basicLength (MV_Mint v) = VGM.basicLength v
  {-# INLINE basicLength #-}
  basicUnsafeSlice i n (MV_Mint v) = MV_Mint $ VGM.basicUnsafeSlice i n v
  {-# INLINE basicUnsafeSlice #-}
  basicOverlaps (MV_Mint v1) (MV_Mint v2) = VGM.basicOverlaps v1 v2
  {-# INLINE basicOverlaps #-}
  basicUnsafeNew n = MV_Mint `fmap` VGM.basicUnsafeNew n
  {-# INLINE basicUnsafeNew #-}
  basicInitialize (MV_Mint v) = VGM.basicInitialize v
  {-# INLINE basicInitialize #-}
  basicUnsafeReplicate n x = MV_Mint `fmap` VGM.basicUnsafeReplicate n (coerce x)
  {-# INLINE basicUnsafeReplicate #-}
  basicUnsafeRead (MV_Mint v) i = coerce `fmap` VGM.basicUnsafeRead v i
  {-# INLINE basicUnsafeRead #-}
  basicUnsafeWrite (MV_Mint v) i x = VGM.basicUnsafeWrite v i (coerce x)
  {-# INLINE basicUnsafeWrite #-}
  basicClear (MV_Mint v) = VGM.basicClear v
  {-# INLINE basicClear #-}
  basicSet (MV_Mint v) x = VGM.basicSet v (coerce x)
  {-# INLINE basicSet #-}
  basicUnsafeCopy (MV_Mint v1) (MV_Mint v2) = VGM.basicUnsafeCopy v1 v2
  {-# INLINE basicUnsafeCopy #-}
  basicUnsafeMove (MV_Mint v1) (MV_Mint v2) = VGM.basicUnsafeMove v1 v2
  {-# INLINE basicUnsafeMove #-}
  basicUnsafeGrow (MV_Mint v) n = MV_Mint `fmap` VGM.basicUnsafeGrow v n
  {-# INLINE basicUnsafeGrow #-}

instance VG.Vector VU.Vector Mint where
  basicUnsafeFreeze (MV_Mint v) = V_Mint `fmap` VG.basicUnsafeFreeze v
  {-# INLINE basicUnsafeFreeze #-}
  basicUnsafeThaw (V_Mint v) = MV_Mint `fmap` VG.basicUnsafeThaw v
  {-# INLINE basicUnsafeThaw #-}
  basicLength (V_Mint v) = VG.basicLength v
  {-# INLINE basicLength #-}
  basicUnsafeSlice i n (V_Mint v) = V_Mint $ VG.basicUnsafeSlice i n v
  {-# INLINE basicUnsafeSlice #-}
  basicUnsafeIndexM (V_Mint v) i = coerce `fmap` VG.basicUnsafeIndexM v i
  {-# INLINE basicUnsafeIndexM #-}
  basicUnsafeCopy (MV_Mint mv) (V_Mint v) = VG.basicUnsafeCopy mv v
  elemseq _ = seq
  {-# INLINE elemseq #-}