//pragma e cel mai op
//de la tle cu 1.5 secunde
//la aprox 1.25 secunde pe cel mai naspa test
#include <iostream>
#include <algorithm>
#pragma GCC target ("avx2")
#pragma GCC optimize ("O3")
#pragma GCC optimize ("unroll-loops")
using namespace std;
int n, t, s;
int points[20005];
int sp[20005];
string st[55];
int results[20005];
int dp[3][20005];
int rmq[55][20][20005];
int last_zero[55][20005];
int temp[55];
int INF = 2e9 + 1;
int query(int st, int dr, int cnt)
{
if(st > dr)
{
swap(st, dr);
}
int l = 31 - __builtin_clz(dr - st + 1);
return min(rmq[cnt][l][st],
rmq[cnt][l][dr - (1 << l) + 1]);
}
signed main()
{
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
cout.tie(nullptr);
cin>>n>>t>>s;
for(int i = 1; i<=t; i++)
{
cin>>points[i];
sp[i] = sp[i - 1] + points[i];
}
for(int i = 1; i<=n; i++)
{
cin>>st[i];
st[i] = '$' + st[i];
int last = 0;
for(int j = 1; j<=t; j++)
{
if(st[i][j] == '0')
{
last = j;
}
last_zero[i][j] = last;
}
}
for(int i = 0; i<=t; i++)
{
dp[0][i] = INF;
}
dp[0][0] = 0;
int sw = 1;
for(int sub = 1; sub<=s; sub++)
{
for(int i = 0; i<=t; i++)
{
dp[sw][i] = INF;
}
for(int cnt = 0; cnt<=n; cnt++)
{
for(int i = 0; i<=t; i++)
{
rmq[cnt][0][i] = dp[1 - sw][i] - cnt * sp[i];
}
for(int k = 1; (1 << k) <= t + 1; k++)
{
for(int i = 0; i + (1 << k) - 1 <= t; i++)
{
rmq[cnt][k][i] = min(rmq[cnt][k - 1][i], rmq[cnt][k - 1][i + (1 << (k - 1))]);
}
}
}
for(int i = 1; i<=t; i++)
{
for(int j = 1; j<=n; j++)
{
temp[j] = last_zero[j][i];
}
sort(temp + 1, temp + n + 1);
reverse(temp + 1, temp + n + 1);
temp[n + 1] = 0;
int ind = 1;
if(temp[1] != i)
{
int left = temp[1] + 1;
dp[sw][i] = min(dp[sw][i], query(left - 1, i - 1, n) + n * sp[i]);
// cout<<left<<" "<<i<<'\n';
}
while(ind <= n)
{
if(temp[ind] == 0)
{
break;
}
int j = ind + 1;
while(j <= n && temp[ind] == temp[j])
{
j++;
}
j--;
int left = temp[j + 1] + 1;
dp[sw][i] = min(dp[sw][i], query(left - 1, temp[j] - 1, n - j) + (n - j) * sp[i]);
// cout<<left<<" "<<temp[j]<<'\n';
ind = j + 1;
}
// cout<<'\n';
// cout<<dp[sw][i]<<" ";
}
// cout<<'\n';
cout<<dp[sw][t]<<'\n';
sw = 1 - sw;
}
return 0;
}
