// Om Namah Shivaya
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace std;
using namespace __gnu_pbds;
template<typename T> using Tree = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
typedef long long int ll;
typedef long double ld;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
#define fastio ios_base::sync_with_stdio(false); cin.tie(NULL)
#define pb push_back
#define endl '\n'
#define sz(a) a.size()
#define setbits(x) __builtin_popcountll(x)
#define ff first
#define ss second
#define conts continue
#define ceil2(x, y) ((x + y - 1) / (y))
#define all(a) a.begin(), a.end()
#define rall(a) a.rbegin(), a.rend()
#define yes cout << "Yes" << endl
#define no cout << "No" << endl
#define rep(i, n) for(int i = 0; i < n; ++i)
#define rep1(i, n) for(int i = 1; i <= n; ++i)
#define rev(i, s, e) for(int i = s; i >= e; --i)
#define trav(i, a) for(auto &i : a)
template<typename T>
void amin(T &a, T b) {
a = min(a, b);
}
template<typename T>
void amax(T &a, T b) {
a = max(a, b);
}
#ifdef LOCAL
#include "debug.h"
#else
#define debug(x) 42
#endif
/*
*/
const int MOD = 1e9 + 7;
const int N = 1e5 + 5;
const int inf1 = int(1e9) + 5;
const ll inf2 = ll(1e18) + 5;
void solve(int test_case)
{
ll n, t, s; cin >> n >> t >> s;
vector<ll> a(t + 5);
rep1(i, t) cin >> a[i];
vector<ll> p(t + 5);
rep1(i, t) p[i] = p[i - 1] + a[i];
ll b[n + 5][t + 5];
rep1(i, n) {
rep1(j, t) {
char ch; cin >> ch;
b[i][j] = ch - '0';
}
}
ll prev_bad[n + 5][t + 5];
memset(prev_bad, -1, sizeof prev_bad);
rep1(i, n) {
rep1(j, t) {
if (!b[i][j]) {
prev_bad[i][j] = j;
}
else {
prev_bad[i][j] = prev_bad[i][j - 1];
}
}
}
vector<ll> changes[t + 5];
rep1(i, t) {
rep1(j, n) {
ll pos = prev_bad[j][i];
if (pos != -1) {
changes[i].pb(pos - 1);
}
}
sort(rall(changes[i]));
}
vector<ll> dp1(t + 5, inf2), dp2(t + 5, inf2);
dp1[0] = 0;
ll prefmn[t + 5][n + 5];
rep1(iter, s) {
memset(prefmn, 0x10, sizeof prefmn);
rep(i, t + 1) {
rep(g, n + 1) {
ll val = dp1[i] - g * p[i];
if (i) prefmn[i][g] = min(prefmn[i - 1][g], val);
else prefmn[i][g] = val;
}
}
rep1(i, t) {
auto change = changes[i];
ll g = n;
amin(dp2[i], g * p[i] + prefmn[i - 1][g]);
trav(pos, change) {
g--;
ll val = g * p[i] + prefmn[pos][g];
amin(dp2[i], val);
}
}
ll ans = dp2[t];
cout << ans << endl;
dp1 = dp2;
fill(all(dp2), inf2);
}
}
int main()
{
fastio;
int t = 1;
// cin >> t;
rep1(i, t) {
solve(i);
}
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
9 ms |
1248 KB |
Output is correct |
2 |
Correct |
6 ms |
1108 KB |
Output is correct |
3 |
Correct |
7 ms |
1236 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
30 ms |
4436 KB |
Output is correct |
2 |
Correct |
39 ms |
5904 KB |
Output is correct |
3 |
Correct |
53 ms |
7756 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
9 ms |
1248 KB |
Output is correct |
4 |
Correct |
6 ms |
1108 KB |
Output is correct |
5 |
Correct |
7 ms |
1236 KB |
Output is correct |
6 |
Correct |
30 ms |
4436 KB |
Output is correct |
7 |
Correct |
39 ms |
5904 KB |
Output is correct |
8 |
Correct |
53 ms |
7756 KB |
Output is correct |
9 |
Correct |
77 ms |
12200 KB |
Output is correct |
10 |
Correct |
145 ms |
16120 KB |
Output is correct |
11 |
Correct |
300 ms |
36472 KB |
Output is correct |
12 |
Correct |
315 ms |
37252 KB |
Output is correct |
13 |
Correct |
344 ms |
37420 KB |
Output is correct |
14 |
Correct |
317 ms |
37516 KB |
Output is correct |
15 |
Correct |
334 ms |
37520 KB |
Output is correct |