#include "bits/stdc++.h"
#define int long long
using namespace std;
const int INF = 2e9;
const int T = 2e4 + 4;
int seg[T * 2];
int lazy[T * 2];
void build (int nd, int l, int r, vector<int>& v) {
if (l == r) {
if (l) {
seg[nd] = v[l - 1];
} else {
seg[nd] = INF;
}
return;
}
int mid = (l + r) >> 1;
int rs = nd + ((mid - l + 1) << 1);
build(nd + 1, l, mid, v);
build(rs, mid + 1, r, v);
seg[nd] = min(seg[nd + 1], seg[rs]);
}
void push (int nd, int l, int r) {
if (!lazy[nd]) {
return;
}
seg[nd] += lazy[nd];
if (l != r) {
int mid = (l + r) >> 1;
int rs = nd + ((mid - l + 1) << 1);
lazy[nd + 1] += lazy[nd];
lazy[rs] += lazy[nd];
}
lazy[nd] = 0;
}
void upd (int nd, int l, int r, int s, int e, int v) {
push(nd, l, r);
if (l >= s && r <= e) {//problem here
lazy[nd] = v;
push(nd, l, r);
return;
}
int mid = (l + r) >> 1;
int rs = nd + ((mid - l + 1) << 1);
if (mid >= e) {
upd(nd + 1, l, mid, s, e, v);
push(rs, mid + 1, r);
} else {
if (mid < s) {
upd(rs, mid + 1, r, s, e, v);
push(nd + 1, l, mid);
} else {
upd(rs, mid + 1, r, s, e, v);
upd(nd + 1, l, mid, s, e, v);
}
}
seg[nd] = min(seg[nd + 1], seg[rs]);
}
int qry (int nd, int l, int r, int s, int e) {
push(nd, l, r);
if (l >= s && r <= e) {
return seg[nd];
}
int mid = (l + r) >> 1;
int rs = nd + ((mid - l + 1) << 1);
if (mid >= e) {
return qry(nd + 1, l, mid, s, e);
} else {
if (mid < s) {
return qry(rs, mid + 1, r, s, e);
} else {
return min(qry(nd + 1, l, mid, s, e), qry(rs, mid + 1, r, s, e));
}
}
}
void debug (int nd, int l, int r) {
push(nd, l, r);
if (l == r) {
cout << l << ' ' << r << ' ' << seg[nd] << '\n';
return;
}
int mid = (l + r) >> 1;
int rs = nd + ((mid - l + 1) << 1);
debug(nd + 1, l, mid);
debug(rs, mid + 1, r);
cout << l << ' ' << r << ' ' << seg[nd] << '\n';
}
signed main() {
ios::sync_with_stdio(false);
cin.tie(nullptr);
int n, t, s;
cin >> n >> t >> s;
vector<int> pts(t + 1);
for (int i = 1; i <= t; ++i) {
cin >> pts[i];
}
vector<string> b(n);
for (int i = 0; i < n; ++i) {
cin >> b[i];
b[i] = '#' + b[i];
}
vector<vector<pair<int, int>>> last_till(t + 1);
vector<vector<int>> last(n, vector<int> (t + 1));
for (int i = 1; i <= t; ++i) {
vector<int> tmp;
for (int j = 0; j < n; ++j) {
if (b[j][i] == '0') {
last[j][i] = i;
} else {
last[j][i] = last[j][i - 1];
}
tmp.push_back(last[j][i]);
}
sort(tmp.begin(), tmp.end(), greater<int>());
for (int j = 0; j < (int) tmp.size(); ++j) {
int k = j;
while (k + 1 < (int) tmp.size() && tmp[k + 1] == tmp[j]) {
k++;
}
last_till[i].emplace_back(tmp[j], k - j + 1);
j = k;
}
}
vector<int> dp(t + 1, INF);
dp[0] = 0;
upd(0, 0, t, 0, t, INF);
upd(0, 0, t, 0, 1, -INF);
for (int k = 1; k <= s; ++k) {
vector<int> ndp(t + 1, INF);
for (int i = k; i <= t; ++i) {
int r = i;
int working = n;
for (auto [l, f] : last_till[i]) {
if (l + 1 <= r) {
upd(0, 0, t, l + 1, r, pts[i] * working);
}
working -= f;
r = l;
}
for (int j = 0; j < n; ++j) {
if (b[j][i] == '0') {
int sum = 0;
for (int l = i - 1; l > last[j][i - 1]; --l) {//this is already fast (t * n * s)
sum += pts[l];
upd(0, 0, t, l, l, -sum);
}
}
}
ndp[i] = qry(0, 0, t, 1, i);
}
swap(dp, ndp);
build(0, 0, t, dp);
fill(lazy, lazy + T * 2, 0);
cout << dp[t] << '\n';
}
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
596 KB |
Output is correct |
2 |
Correct |
1 ms |
596 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
152 ms |
1264 KB |
Output is correct |
2 |
Correct |
148 ms |
1240 KB |
Output is correct |
3 |
Correct |
155 ms |
1364 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
857 ms |
3772 KB |
Output is correct |
2 |
Correct |
1307 ms |
5240 KB |
Output is correct |
3 |
Execution timed out |
2005 ms |
6828 KB |
Time limit exceeded |
4 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
596 KB |
Output is correct |
2 |
Correct |
1 ms |
596 KB |
Output is correct |
3 |
Correct |
152 ms |
1264 KB |
Output is correct |
4 |
Correct |
148 ms |
1240 KB |
Output is correct |
5 |
Correct |
155 ms |
1364 KB |
Output is correct |
6 |
Correct |
857 ms |
3772 KB |
Output is correct |
7 |
Correct |
1307 ms |
5240 KB |
Output is correct |
8 |
Execution timed out |
2005 ms |
6828 KB |
Time limit exceeded |
9 |
Halted |
0 ms |
0 KB |
- |