#pragma region template
#pragma GCC optimize("Ofast")
#include <bits/stdc++.h>
using namespace std;

using ll = long long;
using ld = long double;
using vi = vector<int>;
using vll = vector<ll>;
using pi = pair<int, int>;
using pll = pair<ll, ll>;

#define overload2(a, b, c, ...) c
#define overload3(a, b, c, d, ...) d
#define overload4(a, b, c, d, e, ...) e
#define overload5(a, b, c, d, e, f, ...) f

#define TYPE1(T) template <typename T>
#define TYPE2(T, U) template <typename T, typename U>
#define TYPE(...) overload2(__VA_ARGS__, TYPE2, TYPE1)(__VA_ARGS__)
#define TYPES1(T) template <typename... T>
#define TYPES2(H, T) template <typename H, typename... T>
#define TYPES(...) overload2(__VA_ARGS__, TYPES2, TYPES1)(__VA_ARGS__)

#define REP4(i, s, n, d) for (int i = (s); i < (n); i += (d))
#define REP3(i, s, n) REP4(i, s, n, 1)
#define REP2(i, n) REP3(i, 0, n)
#define REP1(n) REP2(tomato, n)
#define REP(...) overload4(__VA_ARGS__, REP4, REP3, REP2, REP1)(__VA_ARGS__)

#define RREP4(i, n, s, d) for (int i = (n)-1; i >= (s); i -= (d))
#define RREP3(i, n, s) RREP4(i, n, s, 1)
#define RREP2(i, n) RREP3(i, n, 0)
#define RREP1(n) RREP2(tomato, n)
#define RREP(...)                                                              \
  overload4(__VA_ARGS__, RREP4, RREP3, RREP2, RREP1)(__VA_ARGS__)

#define FOR4(a, b, c, d, v) for (auto [a, b, c, d] : v)
#define FOR3(a, b, c, v) for (auto [a, b, c] : v)
#define FOR2(a, b, v) for (auto [a, b] : v)
#define FOR1(a, v) for (auto a : v)
#define FOR(...) overload5(__VA_ARGS__, FOR4, FOR3, FOR2, FOR1)(__VA_ARGS__)

#define AFOR4(a, b, c, d, v) for (auto &[a, b, c, d] : v)
#define AFOR3(a, b, c, v) for (auto &[a, b, c] : v)
#define AFOR2(a, b, v) for (auto &[a, b] : v)
#define AFOR1(a, v) for (auto &a : v)
#define AFOR(...)                                                              \
  overload5(__VA_ARGS__, AFOR4, AFOR3, AFOR2, AFOR1)(__VA_ARGS__)

#define CFOR4(a, b, c, d, v) for (const auto &[a, b, c, d] : v)
#define CFOR3(a, b, c, v) for (const auto &[a, b, c] : v)
#define CFOR2(a, b, v) for (const auto &[a, b] : v)
#define CFOR1(a, v) for (const auto &a : v)
#define CFOR(...)                                                              \
  overload5(__VA_ARGS__, CFOR4, CFOR3, CFOR2, CFOR1)(__VA_ARGS__)

#define PFOR(v)                                                                \
  for (bool f = true; (f ? exchange(f, false) : next_permutation(ALL(v)));)

#define ALL(v) v.begin(), v.end()
#define RALL(v) v.rbegin(), v.rend()
#define SORT(v) sort(ALL(v))
#define RSORT(v) sort(RALL(v))
#define REVERSE(v) reverse(ALL(v))
#define UNIQUE(v) SORT(v), v.erase(unique(ALL(v)), v.end())
#define SZ(v) int(v.size())
#define MAX(v) *max_element(ALL(v))
#define MIN(v) *min_element(ALL(v))
template <typename T>
conditional_t<is_same_v<T, int>, ll, T> SUM(const vector<T> &v) {
  return accumulate(ALL(v), conditional_t<is_same_v<T, int>, ll, T>(0));
}

TYPES(T) void input(T &...a) { (cin >> ... >> a); }
#define DECLARE(T, ...)                                                        \
  T __VA_ARGS__;                                                               \
  input(__VA_ARGS__);
#define INT(...) DECLARE(int, __VA_ARGS__)
#define STR(...) DECLARE(string, __VA_ARGS__)
#define LL(...) DECLARE(long long, __VA_ARGS__)
#define CHR(...) DECLARE(char, __VA_ARGS__)
#define DBL(...) DECLARE(double, __VA_ARGS__)
#define VI(n, v)                                                               \
  vi v(n);                                                                     \
  cin >> v;
#define VLL(n, v)                                                              \
  vll v(n);                                                                    \
  cin >> v;
#define VS(n, s)                                                               \
  vector<string> s(n);                                                         \
  cin >> s;

TYPE(T) istream &operator>>(istream &is, vector<T> &v) {
  for (auto &a : v)
    cin >> a;
  return is;
}
TYPE(T) ostream &operator<<(ostream &os, const vector<T> &v) {
  if (&os == &cerr)
    os << "[";
  REP (i, v.size()) {
    os << v[i];
    if (i + 1 < v.size())
      os << (&os == &cerr ? "," : " ");
  }
  if (&os == &cerr)
    os << "]";
  return os;
}
TYPE(T, S) istream &operator>>(istream &is, pair<T, S> &p) {
  cin >> p.first >> p.second;
  return is;
}

#ifdef __DEBUG
#include <debug>
#else
#define debug(...) void(0)
#endif

void print() { cout << '\n'; }
TYPES(T, Ts) void print(const T &a, const Ts &...b) {
  cout << a;
  (cout << ... << (cout << ' ', b));
  cout << '\n';
}

TYPE(T) using pq = priority_queue<T>;
TYPE(T) using pqg = priority_queue<T, vector<T>, greater<T>>;
TYPE(T) T pick(queue<T> &que) {
  assert(que.size());
  T a = que.front();
  que.pop();
  return a;
}
TYPE(T) T pick(pq<T> &que) {
  assert(que.size());
  T a = que.top();
  que.pop();
  return a;
}
TYPE(T) T pick(pqg<T> &que) {
  assert(que.size());
  T a = que.top();
  que.pop();
  return a;
}
TYPE(T) T pick(stack<T> &sta) {
  assert(sta.size());
  T a = sta.top();
  sta.pop();
  return a;
}
TYPE(T) void clear(T &v) { v = decltype(v)(); }

string YES(bool f = true) { return (f ? "YES" : "NO"); }
string Yes(bool f = true) { return (f ? "Yes" : "No"); }
string yes(bool f = true) { return (f ? "yes" : "no"); }

constexpr int INF = 1e9 + 7;
constexpr ll LINF = ll(1e18) + 7;
constexpr ld EPS = 1e-10;

vi iota(int n) {
  vi a(n);
  iota(ALL(a), 0);
  return a;
}
TYPE(T) vector<pair<T, int>> query_sort(const vector<T> &v) {
  vector<pair<T, int>> res(v.size());
  REP (i, v.size())
    res[i] = {v[i], i};
  SORT(res);
  return res;
}
TYPE(T) void add(vector<T> &v, T a = 1) {
  AFOR (p, v)
    p += a;
}
TYPE(T) T rev(T a) {
  REVERSE(a);
  return a;
}
TYPE(T) void fin(T a) {
  cout << a << '\n';
  exit(0);
}
TYPE(T) bool chmax(T &a, T b) { return (a < b && (a = b, true)); }
TYPE(T) bool chmin(T &a, T b) { return (a > b && (a = b, true)); }
TYPES(T, Ns) auto make_vector(T x, int n, Ns... ns) {
  if constexpr (sizeof...(ns) == 0)
    return vector<T>(n, x);
  else
    return vector(n, make_vector<T>(x, ns...));
}
bool in(const ll S, const int a) { return (S >> a) & 1; }
int popcount(const ll S) { return __builtin_popcountll(S); }
int digit(char c) { return (c >= '0' and c <= '9' ? c - '0' : -1); }
ll sqrtll(ll a) {
  for (ll b = sqrt(a); b * b <= a; b++)
    if (b * b == a)
      return b;
  for (ll b = sqrt(a); b >= 0 and b * b >= a; b--)
    if (b * b == a)
      return b;
  return -1;
}
#pragma endregion template

#include <atcoder/convolution>
#include <atcoder/modint>
using namespace atcoder;
using mint = modint998244353;
namespace atcoder {
ostream &operator<<(ostream &os, mint a) {
  os << a.val();
  return os;
}
istream &operator>>(istream &is, mint &a) {
  long long b;
  is >> b;
  a = b;
  return is;
}
} // namespace atcoder
template<typename MINT>
class MintUtility{
  vector<MINT> fact_={MINT::raw(1)};
  vector<MINT> inv_fact_{MINT::raw(1)};
  int S=1;//今のサイズ

  void extend(const int n){
    if(n<S)return;
    const int preS=S;
    do{S<<=1;}while(S<=n);

    fact_.resize(S);
    for(int i=preS;i<S;i++)fact_[i]=fact_[i-1]*MINT::raw(i);

    inv_fact_.resize(S);
    inv_fact_.back()=fact_.back().inv();
    for(int i=S-1;i>preS;i--)inv_fact_[i-1]=inv_fact_[i]*MINT::raw(i);
  }
public:
  MINT fact(const int n){
    assert(n>=0);
    extend(n);
    return fact_[n];
  }
  MINT inv_fact(const int n){
    assert(n>=0);
    extend(n);
    return inv_fact_[n];
  }
  MINT nCk(const int n,const int k){
    if(k<0||n<k)return MINT::raw(0);
    extend(n);
    return fact_[n] * inv_fact_[k] * inv_fact_[n - k];
  }
  MINT nPk(const int n,const int k){
    if(k<0||n<k)return MINT::raw(0);
    extend(n);
    return fact_[n] * inv_fact_[n-k];
  }
  MINT nHk(const int n,const int k){
    return (n==0 and k==0?1:nCk(n+k-1,k));
  }
};

namespace bitwise{
  static int log2(int N){
    int n=__builtin_ffs(N)-1;
    assert((1<<n)==N);
    return n;
  }
  static bool in(int S,int a){ return (S>>a)&1; }
}
#define REP_(i,n) for(int i=0;i<(n);i++)
struct BitwiseAnd{
  template<typename T>
  static void zeta(vector<T>& A){
    int n=bitwise::log2(A.size());
    REP_(k,n)REP_(S,1<<n)if(!bitwise::in(S,k))A[S]+=A[S^(1<<k)];
  }
  template<typename T>
  static void mobius(vector<T>& A){
    int n=bitwise::log2(A.size());
    REP_(k,n)REP_(S,1<<n)if(!bitwise::in(S,k))A[S]-=A[S^(1<<k)];
  }
  template<typename T>
  static vector<T> convolution(vector<T> A,vector<T> B){
    assert(A.size()==B.size());
    zeta(A);
    zeta(B);
    REP_(i,A.size())A[i]*=B[i];
    mobius(A);
    return A;
  }
};
#undef REP_
#define REP_(i,n) for(int i=0;i<(n);i++)
struct BitwiseOr{
  template<typename T>
  static void zeta(vector<T>& A){
    int n=bitwise::log2(A.size());
    REP_(k,n)REP_(S,1<<n)if(bitwise::in(S,k))A[S]+=A[S^(1<<k)];
  }
  template<typename T>
  static void mobius(vector<T>& A){
    int n=bitwise::log2(A.size());
    REP_(k,n)REP_(S,1<<n)if(bitwise::in(S,k))A[S]-=A[S^(1<<k)];
  }
  template<typename T>
  static vector<T> convolution(vector<T> A,vector<T> B){
    assert(A.size()==B.size());
    zeta(A);
    zeta(B);
    REP_(i,A.size())A[i]*=B[i];
    mobius(A);
    return A;
  }
};
#undef REP_
MintUtility<mint> M;

int main() {
  ios::sync_with_stdio(false);
  cin.tie(nullptr);

  INT(n, m, k);
  vector<ll> a(n + 1, 0);
  for (int l = k; l <= n; l++) {
    a[l] = 1;
    for (int i = k; i < l; i++)
      a[l] -= M.nCk(l, i).val() * a[i];
  }

  vector<ll> v(1 << n, 0);
  REP (m) {
    STR(s);
    v[std::stoi(s, nullptr, 2)]++;
  }

  BitwiseAnd::zeta(v);

  REP (S, 1 << n)
    v[S] *= a[popcount(S)];

  BitwiseOr::zeta(v);

  vector<int> ans(m + 1, n);
  REP (S, 1 << n)
    chmin(ans[v[S]], popcount(S));
  RREP (i, m)
    chmin(ans[i], ans[i + 1]);
  REP (i, 1, m + 1)
    cout << ans[i] << '\n';
}