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;
const int tmax = 2e4;
const int nmax = 50;
const int oo = INT_MAX;
int n,t,s;
int p[tmax + 5];
int sp[tmax + 5];
char sc[nmax + 5][tmax + 5];
int l[nmax + 5];
int dp[tmax + 5][nmax + 5];
vector<int> vl[tmax + 5];
deque<int> d[nmax + 5];
int last_dr[nmax + 5];
int get_val(int i, int k, int nr)
{
if(dp[i - 1][k - 1] == oo)
{
return oo;
}
return dp[i - 1][k - 1] - nr * sp[i - 1];
}
int get_min(int nr, int k, int st, int dr)
{
for(int i=last_dr[nr]+1;i<=dr;i++)
{
while(!d[nr].empty() && get_val(i,k,nr) < get_val(d[nr].back(),k,nr))
{
d[nr].pop_back();
}
d[nr].push_back(i);
}
while(!d[nr].empty() && d[nr].front() < st)
{
d[nr].pop_back();
}
last_dr[nr] = dr;
if(d[nr].empty())
{
return oo;
}
return get_val(d[nr].front(),k,nr);
}
int main()
{
ios::sync_with_stdio(false);
cin.tie(0);
#ifdef home
freopen("nr.in","r",stdin);
freopen("nr.out","w",stdout);
#endif // home
cin>>n>>t>>s;
for(int i=1; i<=t; i++)
{
cin>>p[i];
sp[i] = sp[i - 1] + p[i];
}
for(int i=1; i<=n; i++)
{
for(int j=1; j<=t; j++)
{
cin>>sc[i][j];
}
}
for(int i=0; i<=t; i++)
{
for(int k=0; k<=s; k++)
{
dp[i][k] = oo;
}
}
for(int i=1; i<=t; i++)
{
for(int j=1; j<=n; j++)
{
if(sc[j][i] == '0')
{
l[j] = i;
}
vl[i].push_back(l[j]);
}
sort(vl[i].begin(),vl[i].end());
vl[i].push_back(i);
}
dp[0][0] = 0;
for(int k=1; k<=s; k++)
{
for(int nr=0;nr<=n;nr++)
{
d[nr].clear();
last_dr[nr] = 0;
}
for(int i=k; i<=t; i++)
{
int last = 0;
for(int nr=0; nr<=n; nr++)
{
int val = get_min(nr, k, last + 1, vl[i][nr]);
if(val != oo)
{
val = val + nr * sp[i];
}
dp[i][k] = min(dp[i][k], val);
last = vl[i][nr];
}
}
}
for(int k=1; k<=s; k++)
{
cout<<dp[t][k]<<'\n';
}
return 0;
}
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