#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
#include <ext/pb_ds/priority_queue.hpp>
using namespace std;using namespace __gnu_pbds;
template<class C>constexpr int sz(const C&c){return int(c.size());}
using ll=long long;using ld=long double;using uint=unsigned int;using ull=unsigned long long;
using pii=std::pair<int,int>;using pll=std::pair<ll,ll>;using pill=std::pair<int,ll>;using plli=std::pair<ll,int>;using pdd=std::pair<double,double>;using pld=std::pair<ld,ld>;
#if __SIZEOF_INT128__
    using i128=__int128_t;using ui128=__uint128_t;using pi128=std::pair<i128,i128>;
#endif
constexpr const char nl='\n',sp=' ';constexpr const int INT_INF=0x3f3f3f3f;constexpr const ll LL_INF=0x3f3f3f3f3f3f3f3f;
constexpr const double D_INF=std::numeric_limits<double>::infinity();constexpr const ld LD_INF=std::numeric_limits<ld>::infinity();
template<class T,class...Args>std::unique_ptr<T>_make_unique(Args&&...args){return std::unique_ptr<T>(new T(std::forward<Args>(args)...));}
template<class T,class...Args>std::shared_ptr<T>_make_shared(Args&&...args){return std::shared_ptr<T>(new T(std::forward<Args>(args)...));}
#define make_unique _make_unique
#define make_shared _make_shared
std::seed_seq seq{
    (uint64_t)std::chrono::duration_cast<std::chrono::nanoseconds>(std::chrono::steady_clock::now().time_since_epoch()).count(),
    (uint64_t)__builtin_ia32_rdtsc(),(uint64_t)(uintptr_t)make_unique<char>().get()
};
std::mt19937 rng(seq);std::mt19937_64 rng64(seq);const std::size_t RANDOM=std::uniform_int_distribution<std::size_t>(0,std::numeric_limits<std::size_t>::max())(rng64);
template<class T,class H=std::hash<T>>struct rand_hash{
    static uint64_t splitmix64(uint64_t x){x+=0x9e3779b97f4a7c15;x=(x^(x>>30))*0xbf58476d1ce4e5b9;x=(x^(x>>27))*0x94d049bb133111eb;return x^(x>>31);}
    std::size_t operator()(const T&x)const{return splitmix64(H{}(x)+RANDOM);}
};
template<class K,class H=rand_hash<K>,class...Ts>using hashset=__gnu_pbds::gp_hash_table<K,__gnu_pbds::null_type,H,Ts...>;
template<class K,class V,class H=rand_hash<K>,class...Ts>using hashmap=__gnu_pbds::gp_hash_table<K,V,H,Ts...>;
template<class K,class C=std::less<K>,class...Ts>using treeset=__gnu_pbds::tree<K,__gnu_pbds::null_type,C,__gnu_pbds::rb_tree_tag,__gnu_pbds::tree_order_statistics_node_update,Ts...>;
template<class K,class V,class C=std::less<K>,class...Ts>using treemap=__gnu_pbds::tree<K,V,C,__gnu_pbds::rb_tree_tag,__gnu_pbds::tree_order_statistics_node_update,Ts...>;
template<class K,class H=rand_hash<K>,class...Ts>using uset=std::unordered_set<K,H,Ts...>;
template<class K,class V,class H=rand_hash<K>,class...Ts>using umap=std::unordered_map<K,V,H,Ts...>;
template<class T>using minpq=std::priority_queue<T,std::vector<T>,std::greater<T>>;template<class T>using maxpq=std::priority_queue<T,std::vector<T>,std::less<T>>;
template<class T>using minpairingheap=__gnu_pbds::priority_queue<T,std::greater<T>,__gnu_pbds::pairing_heap_tag>;
template<class T>using maxpairingheap=__gnu_pbds::priority_queue<T,std::less<T>,__gnu_pbds::pairing_heap_tag>;
template<class T1,class T2,class H1=rand_hash<T1>,class H2=rand_hash<T2>>struct pair_hash{
    std::size_t operator()(const std::pair<T1,T2>&p)const{return 31*H1{}(p.first)+H2{}(p.second);}
};
template<class T>struct is_iterator{
    template<class U,typename std::enable_if<!std::is_convertible<U,const char*>::value,int>::type=0>constexpr static auto has_indirection(int)->decltype(*std::declval<U>(),bool()){return true;}
    template<class>constexpr static bool has_indirection(long){return false;}constexpr static bool value=has_indirection<T>(0);
};

#define INTERACTIVE_INPUT 0
constexpr const int _bufferSize=1<<16,_maxNumLength=128;
char _inputBuffer[_bufferSize+1],*_inputPtr=_inputBuffer,_outputBuffer[_bufferSize],_c,_last=-1,_sign,*_tempInputBuf=nullptr,_numBuf[_maxNumLength],_tempOutputBuf[_maxNumLength],_fill=' ';
FILE*_input=stdin,*_output=stdout,*_error=stderr;const char*_delimiter=" ";int _cur,_outputPtr=0,_numPtr=0,_precision=9,_width=0,_tempOutputPtr=0,_cnt;ull _precisionBase=1000000000;
#ifdef _WIN32
    #define getchar_unlocked getchar
    #define fread_unlocked fread
    #define fwrite_unlocked fwrite
#endif
#if INTERACTIVE_INPUT
    char _getchar(){return _last=getchar_unlocked();}
    char _getcharskipr(){while(_getchar()=='\r');return _last;}
#else
    char _getchar(){return _last=*_inputPtr?*_inputPtr++:(_inputBuffer[fread_unlocked(_inputPtr=_inputBuffer,1,_bufferSize,_input)]='\0',*_inputPtr++);}
    char _getcharskipr(){while(_getchar()=='\r');return _last;}
#endif
template<class I>void _readSigned(I&x){while((x=_getchar())<=' ');if((_sign=x=='-'))x=_getchar();for(x-='0';(_c=_getchar())>='0';x=x*10+_c-'0');if(_sign)x=-x;}
template<class UI>void _readUnsigned(UI&x){while((x=_getchar())<=' ');for(x-='0';(_c=_getchar())>='0';x=x*10+_c-'0');}
template<class F>void _readFloatingPoint(F&x){
    for(x=0;(_c=_getchar())<=' ';);
    if((_sign=_c=='-'))_c=_getchar();
    if(_c>='0')for(x=_c-'0';(_c=_getchar())>='0';x=x*10+_c-'0');
    if(_c=='.')for(F _div=1.0;(_c=_getchar())>='0';x+=(_c-'0')/(_div*=10));
    if(_sign)x=-x;
}
void setLength(int x){if(_tempInputBuf)delete[](_tempInputBuf);_tempInputBuf=new char[x+1];}
template<class I>typename std::enable_if<std::is_integral<I>::value&&std::is_signed<I>::value>::type read(I&x){_readSigned(x);}
template<class UI>typename std::enable_if<std::is_integral<UI>::value&&std::is_unsigned<UI>::value>::type read(UI&x){_readUnsignedSigned(x);}
#if __SIZEOF_INT128__
    void read(i128&x){_readSigned(x);}void read(ui128&x){_readUnsigned(x);}
#endif
template<class F>typename std::enable_if<std::is_floating_point<F>::value>::type read(F&x){_readFloatingPoint(x);}
void read(char&x){while((x=_getchar())<=' ');}void read(char*x){_cur=0;do{_c=_getchar();}while(_c<=' ');do{x[_cur++]=_c;}while((_c=_getchar())>' ');x[_cur]='\0';}
void readln(char*x){if(_last=='\r')_getcharskipr();for(_cur=0;(_c=_getcharskipr())!='\n'&&_c;x[_cur++]=_c);x[_cur]='\0';}
void read(std::string&x){if(!_tempInputBuf)assert(0);read(_tempInputBuf);x=std::string(_tempInputBuf,_cur);}
void readln(std::string &x){if(!_tempInputBuf)assert(0);readln(_tempInputBuf);x=std::string(_tempInputBuf,_cur);}
template<class T>typename std::enable_if<is_iterator<typename T::iterator>::value>::type read(T&x);
template<class T1,class T2>void read(std::pair<T1,T2>&x){read(x.first);read(x.second);}template<class T>void read(std::complex<T>&x){T _re,_im;read(_re);read(_im);x.real(_re);x.imag(_im);}
template<class T>typename std::enable_if<is_iterator<typename T::iterator>::value>::type read(T&x);template<class T,class...Ts>void read(T&x,Ts&&...xs);
template<class It>typename std::enable_if<is_iterator<It>::value>::type read(It st,It en){for(It _i=st;_i!=en;_i++)read(*_i);}
template<class It,class...Ts>typename std::enable_if<is_iterator<It>::value>::type read(It st,It en,Ts&&...xs){read(st,en);read(std::forward<Ts>(xs)...);}
template<class T>typename std::enable_if<is_iterator<typename T::iterator>::value>::type read(T&x){for(auto&&_i:x)read(_i);}
template<class T,class...Ts>void read(T&x,Ts&&...xs){read(x);read(std::forward<Ts>(xs)...);}
void setInput(FILE*file){*(_inputPtr=_inputBuffer)=0;_input=file;}void setInput(const std::string&s){*(_inputPtr=_inputBuffer)=0;_input=fopen(s.c_str(),"r");}
int _flushBuf(){fwrite_unlocked(_outputBuffer,1,_outputPtr,_output);return _outputPtr=0;}void flush(){_flushBuf();fflush(_output);}
int _putchar(char x){return _outputBuffer[_outputPtr==_bufferSize?_flushBuf():_outputPtr]=x,_outputPtr++;}
void _writeTempBuf(char x){_tempOutputBuf[_tempOutputPtr++]=x;}void _writeOutput(){for(int _i=0;_i<_tempOutputPtr;_putchar(_tempOutputBuf[_i++]));_tempOutputPtr=0;}
void _fillBuf(int x){for(int _i=0;_i<x;_i++)_putchar(_fill);}void _flushNumBuf(){for(;_numPtr;_writeTempBuf(_numBuf[--_numPtr]));}
void _flushTempBuf(){int _tempLen=_tempOutputPtr;_fillBuf(_width-_tempLen);_writeOutput();_fillBuf(-_width-_tempLen);}
void setPrecision(int x){_precision=x;_precisionBase=1;for(int _i=0;_i<x;_i++,_precisionBase*=10);}void setWidth(int x){_width=x;}void setFill(char x){_fill=x;}
void setDelimiter(const char*x){_delimiter=x;}void setDelimiter(const std::string&x){_delimiter=x.c_str();}
void writeDelimiter(){for(const char*_p=_delimiter;*_p;_putchar(*_p++));}
template<class T>void _writeNum(const T&x,int digits){_cnt=0;for(T _y=x;_y;_y/=10,_cnt++)_numBuf[_numPtr++]='0'+_y%10;for(;_cnt<digits;_cnt++)_numBuf[_numPtr++]='0';_flushNumBuf();}
template<class F>void _writeFloatingPoint(const F&x){ull _I=ull(x);ull _F=(x-_I)*_precisionBase+F(0.5);if(_F>=_precisionBase){_I++;_F=0;}_writeNum(_I,1);_writeTempBuf('.');_writeNum(_F,_precision);}
void write(const bool&x){if(x)_writeTempBuf('1');else _writeTempBuf('0');_flushTempBuf();}void write(const char&x){_writeTempBuf(x);_flushTempBuf();}
void write(const char*x){int _slen=strlen(x);_fillBuf(_width-_slen);for(const char*_p=x;*_p;_putchar(*_p++));_fillBuf(-_width-_slen);}
void write(const std::string&x){_fillBuf(_width-int(x.length()));for(int _i=0;_i<int(x.length());_putchar(x[_i++]));_fillBuf(-_width-int(x.length()));}
template<class I>typename std::enable_if<std::is_integral<I>::value&&std::is_signed<I>::value>::type write(const I&x){
    using UI=typename std::make_unsigned<I>::type;if(x<0){_writeTempBuf('-');_writeNum(UI(-x),1);}else{_writeNum(UI(x),1);}_flushTempBuf();
}
template<class UI>typename std::enable_if<std::is_integral<UI>::value&&std::is_unsigned<UI>::value>::type write(const UI&x){_writeNum(x,1);_flushTempBuf();}
template<class F>typename std::enable_if<std::is_floating_point<F>::value>::type write(const F&x){
    if(std::isnan(x)){write("NaN");}else if(std::isinf(x)){write("Inf");}else if(x<0){_writeTempBuf('-');_writeFloatingPoint(-x);}else{_writeFloatingPoint(x);}_flushTempBuf();
}
#if __SIZEOF_INT128__
    void write(const i128&x){if(x<0){_writeTempBuf('-');_writeNum(ui128(-x),1);}else{_writeNum(ui128(x),1);}_flushTempBuf();}void write(const ui128&x){_writeNum(x,1);_flushTempBuf();}
#endif
template<class T>typename std::enable_if<is_iterator<typename T::iterator>::value>::type write(const T&x);
template<class T1,class T2>void write(const std::pair<T1,T2>&x){write(x.first);writeDelimiter();write(x.second);}
template<class T>void write(const std::complex<T>&x){write(x.real());writeDelimiter();write(x.imag());}
template<class T>typename std::enable_if<is_iterator<typename T::iterator>::value>::type write(const T&x);template<class T,class...Ts>void write(const T&x,Ts&&...xs);
template<class It>typename std::enable_if<is_iterator<It>::value>::type write(It st,It en){bool _first=1;for(It _i=st;_i!=en;_i++){if(_first)_first=0;else writeDelimiter();write(*_i);}}
template<class It,class...Ts>typename std::enable_if<is_iterator<It>::value>::type write(It st,It en,Ts&&...xs){write(st,en);writeDelimiter();write(std::forward<Ts>(xs)...);}
template<class T>typename std::enable_if<is_iterator<typename T::iterator>::value>::type write(const T&x){bool _first=1;for(auto&&_i:x){if(_first)_first=0;else writeDelimiter();write(_i);}}
template<class T,class...Ts>void write(const T&x,Ts&&...xs){write(x);writeDelimiter();write(std::forward<Ts>(xs)...);}
void writeln(){_putchar('\n');}template<class...Ts>void writeln(Ts&&...xs){write(std::forward<Ts>(xs)...);_putchar('\n');}
class IOManager{public:~IOManager(){flush();if(_tempInputBuf)delete[](_tempInputBuf);}};std::unique_ptr<IOManager>iomanager=make_unique<IOManager>();
void setOutput(FILE*file){flush();_output=file;}void setOutput(const std::string&s){flush();_output=fopen(s.c_str(),"w");}
template<class...Ts>void debug(Ts&&...xs){FILE*_temp=_output;setOutput(_error);write(std::forward<Ts>(xs)...);setOutput(_temp);}
template<class...Ts>void debugln(Ts&&...xs){FILE*_temp=_output;setOutput(_error);writeln(std::forward<Ts>(xs)...);setOutput(_temp);}
void setError(FILE*file){flush();_error=file;}void setError(const std::string&s){flush();_error=fopen(s.c_str(),"w");}

const int MAXH = 12, MAXW = 1005;

int H, W, K;
string S[MAXH];

int main() {
    // setInput("in.txt");
    // setOutput("out.txt");
    // setError("err.txt");
    setLength(MAXW);
    read(H, W, K);
    read(S, S + H);
    int mn = INT_INF;
    for (int mask = 0; mask < (1 << (H - 1)); mask++) {
        vector<vector<int>> splits;
        int last = 0;
        for (int i = 0; i < H - 1; i++) if ((mask >> i) & 1) {
            splits.emplace_back();
            for (int j = last; j <= i; j++) splits.back().push_back(j);
            last = i + 1;
        }
        splits.emplace_back();
        for (int j = last; j < H; j++) splits.back().push_back(j);
        int cuts = sz(splits) - 1;
        bool good = true;
        vector<int> tot(sz(splits), 0);
        for (int j = 0; j < W; j++) {
            bool needCut = false;
            for (int s = 0; s < sz(splits); s++) {
                int add = 0;
                for (int i : splits[s]) add += S[i][j] - '0';
                if (tot[s] + add > K) needCut = true;
            }
            if (needCut) {
                if (j == 0) {
                    good = false;
                    break;
                }
                fill(tot.begin(), tot.end(), 0);
                cuts++;
            }
            for (int s = 0; s < sz(splits); s++) {
                int add = 0;
                for (int i : splits[s]) add += S[i][j] - '0';
                tot[s] += add;
            }
        }
        if (good) mn = min(mn, cuts);
    }
    writeln(mn);
    return 0;
}


Measured memory_bytes: 256