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 MAX_N = 50;
const int MAX_T = 50000;
const int MAX_S = 50;
const long long INF = 1e15;
bool solved[MAX_N][MAX_T + 1];
int points[MAX_T + 1], last0[MAX_N][MAX_T + 1], add[MAX_T + 1];
long long dp[MAX_T + 1][MAX_S + 1], minFunc[MAX_T + 1][MAX_N + 1];
int main() {
int n, t, s;
cin >> n >> t >> s;
for ( int i = 1; i <= t; i++ ) {
cin >> points[i];
points[i] += points[i - 1];
}
for ( int j = 0; j < n; j++ ) {
for ( int i = 1; i <= t; i++ ) {
char ch;
cin >> ch;
solved[j][i] = ch - '0';
last0[j][i] = (!solved[j][i] ? i : last0[j][i - 1]);
}
}
for ( int i = 0; i <= t; i++ ) {
for ( int k = 0; k <= s; k++ )
dp[i][k] = INF;
}
dp[0][0] = 0;
for ( int k = 1; k <= s; k++ ) {
for ( int i = 0; i <= t; i++ ) {
for ( int c = 0; c <= n; c++ )
minFunc[i][c] = min( (i == 0 ? INF : minFunc[i - 1][c]), dp[i][k - 1] - c * points[i] );
}
for ( int i = 1; i <= t; i++ ) {
vector<int> pos;
pos.push_back( i );
for ( int j = 0; j < n; j++ ) {
if ( last0[j][i] != 0 ) {
pos.push_back( last0[j][i] );
add[last0[j][i]]++;
}
}
sort( pos.begin(), pos.end() );
pos.resize( unique( pos.begin(), pos.end() ) - pos.begin() );
reverse( pos.begin(), pos.end() );
int c = n;
for ( int j: pos ) {
c -= add[j];
add[j] = 0;
dp[i][k] = min( dp[i][k], minFunc[j - 1][c] + (long long)c * points[i] );
}
}
}
for ( int k = 1; k <= s; k++ )
cout << dp[t][k] << "\n";
return 0;
}
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