#include <bits/stdc++.h>
using namespace std;
const int N = 2e4+30;
int gh[57][57];
int pref[55][N];
vector<int> v;
int n, s, t;
long long dis[N][55];
int r(int l, int r){
int ans=0;
for(int i=0; i<n; i++){
int val=pref[i][r];
if(l>0) val-=pref[i][l-1];
if(val==r-l+1) ans++;
}
return ans;
}
long long calc(int ri, int l, int f, long long kac){
if(l<=t && f <= s && ri <t){
if(dis[l][f]==(long long)1e10) return (long long)1e10;
long long h = dis[l][f];
long long gh = v[ri];
if(l) gh-=v[l-1];
return h+kac*gh;
}
return (long long) 1e10;
};
void solve(){
cin >> n >> t >> s;
v.resize(t);
for(int i=0; i<=t; i++){
for(int l=0; l<=s; l++){
dis[i][l] = 1e10;
}
}
for(auto &i: v) cin >> i;
vector<string> se(n);
for(auto &i: se){
cin >> i;
}
for(int i=0; i<n; i++){
if(se[i][0]=='1') pref[i][0]++;
for(int l=1; l<t; l++){
pref[i][l] = pref[i][l-1] + se[i][l]-'0';
}
}
for(int i=1; i<t; i++) v[i] += v[i-1];
int h=0;
for(int i=0; i<55; i++){
for(int l=0; l<55; l++){
gh[i][l]=-1;
}
}
// assert((h < 55*t));
gh[0][0]=0;
dis[0][0]=0;
vector<int> val(t, n);
vector<int> last(t, -1);
for(int i=0; i<=t; i++){
//hah;
for(int j=0; j<50; j++){
for(int el=0; el<=50; el++){
if(gh[j][el]!=-1){
if(i!=0)
dis[i][j+1] = min(dis[i][j+1], calc(i-1, gh[j][el], j, val[gh[j][el]]));
}
}
}
val[i]=n;
for(int l=0; l<n; l++){
if(se[l][i]=='0'){
for(int j=i; j>last[l]; j--){
val[j]--;
}
last[l] = i;
}
}
if(i!=t)
for(int l=0; l<n; l++){
if(se[l][i]=='0'){
for(int j=i-1; j>=0; j--){
if(se[l][j]=='0') break;
int el = val[j];// kaç tane
for(int k=0; k<s; k++){
if(gh[k][el]==-1) gh[k][el]=j;
else{
int tel = val[gh[k][el]];
int val_new = calc(i, j, k, el);
int val_old = calc(i, gh[k][el], k, tel);
if(val_new < val_old){
gh[k][el] = j;
}
}
}
}
}
}
int el = val[i]; // kaç tane
for(int k=0; k<s; k++){
if(gh[k][el]==-1) gh[k][el]=i;
else{
int tel = r(gh[k][el], i);
int val_new = calc(i, i, k, el);
int val_old = calc(i, gh[k][el], k, tel);
if(val_new < val_old){
gh[k][el] = i;
}
}
}
}
for(int i=1; i<=s; i++) cout<<dis[t][i]<<"\n";
}
signed main(){
ios_base::sync_with_stdio(false);
cin.tie(0);
/*freopen("popeala.in", "r", stdin);
freopen("popeala.out", "w", stdout);
*/
solve();
cerr<<clock()/1000.0;
}
