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>
#define F0R(i, a) for (int i = 0; i < (a); i++)
#define FOR(i, a, b) for (int i = (a); i < (b); i++)
#define ROF(i, a, b) for (int i = (b) - 1; i >= (a); i--)
#define PB push_back
using namespace std;
typedef vector<int> vi;
typedef long long ll;
#define MAXN 50
#define MAXT 20000
#define MAXS 50
int n, t, s;
ll pref[MAXT];
int numsolved[MAXT];
ll dp[MAXT + 1][MAXN + 1];
vi bestIdx[MAXS + 1];
bool solved[MAXN][MAXT];
void upd(ll& a, ll b) { a = min(a, b); }
ll cost(int prevcases, int newcases) {
ll amt = pref[newcases - 1] - (prevcases == 0 ? 0 : pref[prevcases - 1]);
return amt * numsolved[prevcases];
}
void read() {
ios::sync_with_stdio(false);
cin.tie(0);
cin >> n >> t >> s;
F0R(i, t) cin >> pref[i];
FOR(i, 1, t) {
pref[i] += pref[i - 1];
}
F0R(i, n) {
F0R(j, t) {
char c;
cin >> c;
solved[i][j] = (c == '1');
}
}
}
int main() {
read();
F0R(i, t + 1) F0R(j, s + 1) dp[i][j] = 1e10;
dp[0][0] = 0;
F0R(i, t) numsolved[i] = n;
F0R(i, s + 1) {
bestIdx[i] = vi(n + 1, -1);
bestIdx[i][n] = 0;
}
FOR(numtests, 1, t + 1) {
int i = numtests - 1;
int recalcp = numtests - 1;
int clearp = n + 1;
vi toprocess;
F0R(cont, n) if (!solved[cont][i]) {
int lastmissed = i - 1;
while (lastmissed >= 0 && solved[cont][lastmissed]) {
lastmissed--;
}
toprocess.PB(lastmissed + 1);
recalcp = min(recalcp, lastmissed + 1);
clearp = min(clearp, numsolved[lastmissed + 1]);
}
for (const int k : toprocess) {
FOR(j, k, numtests) numsolved[j]--;
}
F0R(numgroups, s + 1) {
FOR(numsolves, clearp, n + 1) bestIdx[numgroups][numsolves] = -1;
FOR(numprevtests, recalcp, numtests) {
int ns = numsolved[numprevtests];
int bi = bestIdx[numgroups][ns];
if (bi == -1 ||
dp[numprevtests][numgroups] + cost(numprevtests, numtests) <
dp[bi][numgroups] + cost(bi, numtests)) {
bestIdx[numgroups][ns] = numprevtests;
}
}
}
ROF(numgroups, 1, s + 1) {
F0R(cnt, n + 1) if (bestIdx[numgroups - 1][cnt] != -1) {
int previ = bestIdx[numgroups - 1][cnt];
upd(dp[numtests][numgroups], dp[previ][numgroups - 1] +
cost(previ, numtests));
}
}
}
FOR(j, 1, s + 1) {
cout << dp[t][j] << "\n";
}
}
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