This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
using namespace std;
#define int long long
#define ll long long
#define ii pair<ll,ll>
#define fi first
#define se second
#define endl '\n'
#define puf push_front
#define pof pop_front
#define pub push_back
#define pob pop_back
#define lb lower_bound
#define ub upper_bound
#define rep(x,s,e) for (auto x=(s)-((s)>(e));x!=(e)-((s)>(e));(s)<(e)?x++:x--)
#define all(x) (x).begin(),(x).end()
#define sz(x) (int) (x).size()
mt19937 rng(chrono::system_clock::now().time_since_epoch().count());
int k,n,s;
int arr[20005];
int pre[20005];
string ac[51];
int memo[2][20005];
int ver[51][20005];
int pp[51];
struct node{
int table[15][20005];
void init(int v[20005]){
int n=k+1;
rep(x,0,n) table[0][x]=v[x];
int layer=0;
n--;
while (n>0){
rep(x,0,n)
table[layer+1][x]=min(table[layer][x],table[layer][x+(1<<layer)]);
layer++;
n-=1<<layer;
}
}
int query(int i,int j){
int len=j-i+1;
int layer=31-__builtin_clz(len);
return min(table[layer][i],table[layer][j-(1<<layer)+1]);
}
} root[51];
signed main(){
cin.tie(0);
cout.tie(0);
cin.sync_with_stdio(false);
cin>>n>>k>>s;
rep(x,1,k+1) cin>>arr[x];
rep(x,1,k+1) pre[x]=pre[x-1]+arr[x];
rep(x,0,n) cin>>ac[x];
rep(x,0,n) ac[x]="$"+ac[x];
memset(memo,63,sizeof(memo));
int a=0,b=1;
memo[a][0]=0;
rep(zzz,0,s){
memset(memo[b],63,sizeof(memo[b]));
rep(x,0,n+1){
rep(y,0,k+1) ver[x][y]=memo[a][y]-x*pre[y];
root[x].init(ver[x]);
}
rep(x,0,n) pp[x]=0;
rep(x,1,k+1){
rep(y,0,n) if (ac[y][x]=='0') pp[y]=x;
vector<int> imp={0,x};
rep(y,0,n) imp.pub(pp[y]);
sort(all(imp));
reverse(all(imp));
//cout<<"debug: "; for (auto it:imp) cout<<it<<" "; cout<<endl;
int best=1e18;
int curr=0;
rep(y,0,n+1){
if (imp[y]!=imp[y+1]){
//cout<<"debug2: "<<n-y<<" "<<imp[y+1]<<" "<<imp[y]-1<<endl;
//cout<<root[n-y].query(imp[y+1],imp[y]-1)<<endl;
best=min(best,root[n-y].query(imp[y+1],imp[y]-1)+curr);
}
curr-=pre[x];
}
best+=n*pre[x];
memo[b][x]=best;
}
swap(a,b);
//rep(x,0,k+1) cout<<memo[a][x]<<" "; cout<<endl;
cout<<memo[a][k]<<endl;
}
}
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