{-# LANGUAGE BangPatterns #-} {-# LANGUAGE BinaryLiterals #-} {-# LANGUAGE CPP #-} {-# LANGUAGE DefaultSignatures #-} {-# LANGUAGE FlexibleInstances #-} {-# LANGUAGE LambdaCase #-} {-# LANGUAGE MagicHash #-} {-# LANGUAGE MultiParamTypeClasses #-} {-# LANGUAGE MultiWayIf #-} {-# LANGUAGE NumericUnderscores #-} {-# LANGUAGE OverloadedStrings #-} {-# LANGUAGE RankNTypes #-} {-# LANGUAGE TupleSections #-} {-# LANGUAGE TypeApplications #-} {-# LANGUAGE TypeFamilies #-} {-# LANGUAGE UndecidableInstances #-} {-# LANGUAGE UnboxedTuples #-} {-# LANGUAGE ViewPatterns #-} import Control.Monad import Control.Monad.Cont import Control.Monad.State import Data.Bits import Data.Char import Data.Coerce import Data.Int import Data.Word import GHC.Exts import System.IO import Unsafe.Coerce import qualified Data.ByteString as BS import qualified Data.ByteString.Builder as BSB import qualified Data.ByteString.Char8 as BSC8 import qualified GHC.Integer.GMP.Internals as GMP import qualified Data.Vector.Fusion.Stream.Monadic as VFSM import qualified Data.Vector.Generic as VG import qualified Data.Vector.Unboxed as VU main :: IO () main = do [a, b] <- map (read @Int) . words <$> getLine print $ a * b `mod` 1_000_000_007 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 (.^.) #-} clz :: FiniteBits fb => fb -> Int clz = countLeadingZeros {-# INLINE clz #-} ctz :: FiniteBits fb => fb -> Int ctz = countTrailingZeros {-# INLINE ctz #-} encode32x2 :: Int -> Int -> Int encode32x2 x y = x .<<. 32 .|. y {-# INLINE encode32x2 #-} decode32x2 :: Int -> (Int, Int) decode32x2 xy = let !x = xy .>>>. 32 !y = xy .&. 0xffffffff in (x, y) {-# INLINE decode32x2 #-} ceilPow2 :: Int -> Int ceilPow2 n | n > 1 = (-1) .>>>. (clz (n - 1)) + 1 | otherwise = 1 {-# INLINE ceilPow2 #-} floorPow2 :: Int -> Int floorPow2 n | n >= 1 = 1 .<<. (63 - (clz n)) | otherwise = 0 {-# INLINE floorPow2 #-} fi :: Int -> Integer fi = fromIntegral {-# INLINE fi #-} fI :: Integer -> Int fI = fromInteger {-# INLINE fI #-} fid :: Int -> Double fid = fromIntegral {-# INLINE fid #-} fif :: Int -> Float fif = fromIntegral {-# INLINE fif #-} powModInt :: Int -> Int -> Int -> Int powModInt a n mo = fI $ GMP.powModInteger (fi a) (fi n) (fi mo) recipModInt :: Int -> Int -> Int recipModInt a mo = fI $ GMP.recipModInteger (fi a) (fi mo) floorSqrt :: Int -> Int floorSqrt = floor . sqrt . fromIntegral floorLog2 :: Int -> Int floorLog2 x = fromIntegral $ y `unsafeShiftR` 52 - 1023 where y :: Word64 y = unsafeCoerce (fromIntegral x :: Double) -- for 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 #-} withBreak :: ((r -> ContT r IO b) -> ContT r IO r) -> IO r withBreak = flip runContT pure . callCC {-# INLINE withBreak #-} -- input type CParser a = StateT BSC8.ByteString Maybe a runCParser :: CParser a -> BSC8.ByteString -> Maybe (a, BSC8.ByteString) runCParser = 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 = modify' (BSC8.dropWhile isSpace) {-# INLINE skipSpaces #-} seqInput :: Int -> IO (VU.Vector Int) seqInput n = VU.unfoldrN n (runCParser int) <$> BSC8.getLine {-# INLINE seqInput #-} parseN1 :: Int -> IO (VU.Vector Int) parseN1 n = VU.unfoldrN n (runCParser int) <$> BSC8.getContents {-# INLINE parseN1 #-} parseN2 :: Int -> IO (VU.Vector (Int, Int)) parseN2 n = VU.unfoldrN n (runCParser $ (,) <$> int <*> int) <$> BSC8.getContents {-# INLINE parseN2 #-} parseN3 :: Int -> IO (VU.Vector (Int, Int, Int)) parseN3 n = VU.unfoldrN n (runCParser $ (,,) <$> int <*> int <*> int) <$> BSC8.getContents {-# INLINE parseN3 #-} parseN4 :: Int -> IO (VU.Vector (Int, Int, Int, Int)) parseN4 n = VU.unfoldrN n (runCParser $ (,,,) <$> int <*> int <*> int <*> int) <$> BSC8.getContents {-# INLINE parseN4 #-} parseN5 :: Int -> IO (VU.Vector (Int, Int, Int, Int, Int)) parseN5 n = VU.unfoldrN n (runCParser $ (,,,,) <$> int <*> int <*> int <*> int <*> int) <$> BSC8.getContents {-# INLINE parseN5 #-} parseANBN :: Int -> IO (VU.Vector Int, VU.Vector Int) parseANBN n = VU.unzip . VU.unfoldrN n (runCParser $ (,) <$> int <*> int) <$> BSC8.getContents {-# INLINE parseANBN #-} parseANBNCN :: Int -> IO (VU.Vector Int, VU.Vector Int, VU.Vector Int) parseANBNCN n = VU.unzip3 . VU.unfoldrN n (runCParser $ (,,) <$> int <*> int <*> int) <$> BSC8.getContents {-# INLINE parseANBNCN #-} type Query5 = (Int, Int, Int, Int, Int) query5Parser :: CParser Query5 query5Parser = do skipSpaces t <- char case t of '0' -> (,,,,) 0 <$> int <*> int <*> int <*> int _ -> (,,,,) 1 <$> int <*> int <*> pure 0 <*> pure 0 parseQ5 :: Int -> IO (VU.Vector Query5) parseQ5 n = VU.unfoldrN n (runCParser query5Parser) <$> BSC8.getContents {-# INLINE parseQ5 #-} -- output class ShowAsBuilder a where showAsBuilder :: a -> BSB.Builder default showAsBuilder :: (Show a) => a -> BSB.Builder showAsBuilder = BSB.string8 . show instance ShowAsBuilder Int where showAsBuilder = BSB.intDec {-# INLINE showAsBuilder #-} instance ShowAsBuilder Int8 where showAsBuilder = BSB.int8Dec {-# INLINE showAsBuilder #-} instance ShowAsBuilder Int16 where showAsBuilder = BSB.int16Dec {-# INLINE showAsBuilder #-} instance ShowAsBuilder Int32 where showAsBuilder = BSB.int32Dec {-# INLINE showAsBuilder #-} instance ShowAsBuilder Int64 where showAsBuilder = BSB.int64Dec {-# INLINE showAsBuilder #-} instance ShowAsBuilder Word8 where showAsBuilder = BSB.word8Dec {-# INLINE showAsBuilder #-} instance ShowAsBuilder Word16 where showAsBuilder = BSB.word16Dec {-# INLINE showAsBuilder #-} instance ShowAsBuilder Word32 where showAsBuilder = BSB.word32Dec {-# INLINE showAsBuilder #-} instance ShowAsBuilder Word64 where showAsBuilder = BSB.word64Dec {-# INLINE showAsBuilder #-} instance ShowAsBuilder Integer where showAsBuilder = BSB.integerDec {-# INLINE showAsBuilder #-} instance ShowAsBuilder Float where showAsBuilder = BSB.floatDec {-# INLINE showAsBuilder #-} instance ShowAsBuilder Double where showAsBuilder = BSB.doubleDec {-# INLINE showAsBuilder #-} instance (ShowAsBuilder a, VG.Vector v a) => ShowAsBuilder (v a) where showAsBuilder = v2BSpcSep putBuilder :: BSB.Builder -> IO () putBuilder = BSB.hPutBuilder stdout {-# INLINE putBuilder #-} printVecInLines :: (VG.Vector v a, ShowAsBuilder a) => v a -> IO () printVecInLines = putBuilder . v2BLines {-# INLINE printVecInLines #-} printVecInSpcSepLn :: (VG.Vector v a, ShowAsBuilder a) => v a -> IO () printVecInSpcSepLn = putBuilder . v2BSpcSepLn {-# INLINE printVecInSpcSepLn #-} v2BSpcSepLn :: (VG.Vector v a, ShowAsBuilder a) => v a -> BSB.Builder v2BSpcSepLn = v2BSpcSepLnWith showAsBuilder {-# INLINE v2BSpcSepLn #-} v2BSpcSep :: (VG.Vector v a, ShowAsBuilder a) => v a -> BSB.Builder v2BSpcSep = v2BSpcSepWith showAsBuilder {-# INLINE v2BSpcSep #-} v2BConcat:: (VG.Vector v a, ShowAsBuilder a) => v a -> BSB.Builder v2BConcat = v2BConcatWith showAsBuilder {-# INLINE v2BConcat #-} v2BLines:: (VG.Vector v a, ShowAsBuilder a) => v a -> BSB.Builder v2BLines = v2BLinesWith showAsBuilder {-# INLINE v2BLines #-} v2BSpcSepLnWith :: VG.Vector v a => (a -> BSB.Builder) -> v a -> BSB.Builder v2BSpcSepLnWith = v2BSpcSepPostfWith "\n" {-# INLINE v2BSpcSepLnWith #-} v2BSpcSepWith :: VG.Vector v a => (a -> BSB.Builder) -> v a -> BSB.Builder v2BSpcSepWith = v2BSpcSepPostfWith "" {-# INLINE v2BSpcSepWith #-} v2BConcatWith :: VG.Vector v a => (a -> BSB.Builder) -> v a -> BSB.Builder v2BConcatWith showFct = VG.foldr ((<>) . showFct) mempty {-# INLINE v2BConcatWith #-} v2BLinesWith :: VG.Vector v a => (a -> BSB.Builder) -> v a -> BSB.Builder v2BLinesWith showFct = VG.foldr (\a -> (showFct a <>) . (BSB.char7 '\n' <>)) mempty {-# INLINE v2BLinesWith #-} v2BSpcSepPostf :: (VG.Vector v a, ShowAsBuilder a) => BS.ByteString -- ^ postfix -> v a -> BSB.Builder v2BSpcSepPostf = (`v2BSpcSepPostfWith` showAsBuilder) {-# INLINE v2BSpcSepPostf #-} v2BSpcSepPostfWith :: VG.Vector v a => BS.ByteString -- ^ postfix -> (a -> BSB.Builder) -- ^ show function -> v a -> BSB.Builder v2BSpcSepPostfWith = vecToBuilder "" " " {-# INLINE v2BSpcSepPostfWith #-} vecToBuilder :: VG.Vector v a => BS.ByteString -- ^ prefix -> BS.ByteString -- ^ separator -> BS.ByteString -- ^ postfix -> (a -> BSB.Builder) -- ^ show function -> v a -> BSB.Builder vecToBuilder !prefix !separator !postfix = vecToBuilder_ (BSB.byteString prefix) (BSB.byteString separator) (BSB.byteString postfix) {-# INLINE vecToBuilder #-} vecToBuilder_ :: VG.Vector v a => BSB.Builder -- ^ prefix -> BSB.Builder -- ^ separator -> BSB.Builder -- ^ postfix -> (a -> BSB.Builder) -- ^ show function -> v a -> BSB.Builder vecToBuilder_ !prefix !separator !postfix showFct vec = prefix <> VG.foldr (\a rest !prefx -> prefx <> (showFct a <> rest separator)) (const postfix) vec mempty {-# INLINE vecToBuilder_ #-}