#include namespace { #pragma GCC diagnostic ignored "-Wunused-function" #include #pragma GCC diagnostic warning "-Wunused-function" using namespace std; using namespace atcoder; #define rep(i,n) for(int i = 0; i < (int)(n); i++) #define rrep(i,n) for(int i = (int)(n) - 1; i >= 0; i--) #define all(x) begin(x), end(x) #define rall(x) rbegin(x), rend(x) template bool chmax(T& a, const T& b) { if (a < b) { a = b; return true; } else return false; } template bool chmin(T& a, const T& b) { if (b < a) { a = b; return true; } else return false; } using ll = long long; using P = pair; using VI = vector; using VVI = vector; using VL = vector; using VVL = vector; ll d1[1 << 24]; // ll d2[1 << 24]; } int main() { ios::sync_with_stdio(false); cin.tie(0); int n, m, k; cin >> n >> m >> k; rep(_, m) { string s; cin >> s; int x = 0; rep(i, n) x |= (s[i] - '0') << i; d1[x]++; } rep(i, n) rep(s, 1 << n) if (s >> i & 1) d1[s ^ (1 << i)] += d1[s]; // rep(s, 1 << n) cout << d1[s] << ' '; // cout << endl; rep(s, 1 << n) { int pc = popcount(1U * s); if (pc > k) { d1[s] = -(pc - 1) * d1[s]; } if (pc < k) d1[s] = 0; } // rep(s, 1 << n) cout << d1[s] << ' '; // cout << endl; rep(i, n) rep(s, 1 << n) if (s >> i & 1) d1[s] += d1[s ^ (1 << i)]; // rep(s, 1 << n) cout << d1[s] << ' '; // cout << endl; VI ans(m + 1, m); rep(s, 1 << n) { int pc = popcount(1U * s); if (pc >= k) chmin(ans[d1[s]], pc); } rrep(i, m) chmin(ans[i], ans[i+1]); for (int i = 1; i <= m; i++) { cout << ans[i] << '\n'; } }