{-# LANGUAGE FlexibleContexts #-}
{-# LANGUAGE GeneralizedNewtypeDeriving #-}
{-# LANGUAGE Rank2Types #-}
{-# LANGUAGE BinaryLiterals #-}
{-# LANGUAGE BangPatterns #-}

-- Default Imports

import Control.Monad
import Control.Monad.ST
import Control.Monad.Trans.Class

import qualified Control.Monad.Reader as Reader
import Control.Monad.Reader (Reader, ReaderT, runReader, runReaderT)

import qualified Data.Array.MArray as MArray
import qualified Data.Array.ST as STArray
import Data.Array.ST (STArray, STUArray, runSTArray, runSTUArray)
import Data.Ix (Ix)

import qualified Data.Bits as Bits
import Data.Bits ((.&.), (.|.))

import qualified Data.ByteString.Char8 as BS
import Data.ByteString.Char8 (ByteString)

import qualified Data.Char as Char
import qualified Data.List as List
import qualified Data.Map.Strict as Map
import Data.Map.Strict (Map)
import qualified Data.Maybe as Maybe
import qualified Data.Set as Set
import Data.Set (Set)

import qualified Data.Vector as Vector
import qualified Data.Vector.Generic as GVector
import qualified Data.Vector.Mutable as MVector
import Data.Vector.Mutable (STVector)
import qualified Data.Vector.Unboxed as UVector

import Numeric

import Debug.Trace
-- ----------

-- Custom Import Here


-- ----------

-- Default Definitions

type Vector = Vector.Vector
-- type GVector = GVector.Vector
type UVector = UVector.Vector

readIntToList :: ByteString -> [Int]
readIntToList = List.unfoldr (fmap (second $ BS.dropWhile Char.isSpace) . BS.readInt)

readToList :: Read a => ByteString -> [a]
readToList = List.unfoldr $ fmap (mapTaken . mapRemain) . span' (not . Char.isSpace)
	where
		mapTaken  = first $ read . BS.unpack
		mapRemain = second $ BS.dropWhile Char.isSpace
		span' pred s
			| BS.null taken = Nothing
			| otherwise     = Just (taken, remain')
			where
				(taken, remain) = BS.span pred s
				remain' = BS.dropWhile Char.isSpace remain

readToListN :: Read a => Int -> ByteString -> [a]
readToListN n = take n . readToList

readIntToVector :: ByteString -> Vector Int
readIntToVector = Vector.unfoldr (fmap stripRemain . BS.readInt)
	where stripRemain = second $ BS.dropWhile Char.isSpace

readIntToUVector :: ByteString -> UVector.Vector Int
readIntToUVector = UVector.unfoldr (fmap stripRemain . BS.readInt)
	where stripRemain = second $ BS.dropWhile Char.isSpace

readIntToVectorN :: Int -> ByteString -> Vector.Vector Int
readIntToVectorN n = Vector.unfoldrN n (fmap stripRemain . BS.readInt)
	where stripRemain = second $ BS.dropWhile Char.isSpace

readIntToUVectorN :: Int -> ByteString -> UVector.Vector Int
readIntToUVectorN n = UVector.unfoldrN n (fmap stripRemain . BS.readInt)
	where stripRemain = second $ BS.dropWhile Char.isSpace


first :: (a -> a') -> (a, b) -> (a', b)
first f (a, b) = (f a, b)

second :: (b -> b') -> (a, b) -> (a, b')
second f (a, b) = (a, f b)

average :: Fractional a => [a] -> a
average xs = sum xs / (fromIntegral . length) xs

-- ----------

perm :: Int -> [[Bool]]
perm n = forM [1..n] $ \_ -> [True, False]

mergeBlock :: [[Int]] -> [Bool] -> (Int, [[Int]])
mergeBlock ss [] = (0, ss)
mergeBlock (s1:s2:s') (p:p') = if p
	then mergeBlock (zipWith (+) s1 s2 : s') p'
	else first (+ 1) $ second (s1 :) $ mergeBlock (s2:s') p'

test' :: Int -> Vector (Vector Int) -> Vector Int -> Int
test' k field sums
	| Vector.null $ Vector.head field = 0
	| check = 9999999999999
	| otherwise =  if needSeparate
		then 1 + test' k field (Vector.replicate n 0)
		else test' k nextField nextSums
	where
		n = Vector.length sums
		check = k < (maximum $ fmap Vector.head field)
		nextSums = Vector.zipWith (+) sums $ fmap Vector.head field
		needSeparate = k < maximum nextSums
		nextField = fmap Vector.tail field

test :: Int -> (Int, [[Int]]) -> Int
test k (k', field) = k' + (test' k field' $ Vector.replicate n 0)
	where
		field' = Vector.fromList (map Vector.fromList field)
		n = length field
-- test _ _ = 0

main :: IO ()
main = do
	[h, w, k] <- readIntToList <$> BS.getLine
	field <- replicateM h $ map Char.digitToInt <$> getLine
	-- print field
	-- print $ perm (h - 1)
	let hCandidates = mergeBlock field <$> perm (h - 1)
	-- print $ hCandidates
	print $ minimum $ map (test k) $ hCandidates


Measured memory_bytes: 3452