#include<bits/stdc++.h>
using namespace std;
#define int long long
#define fi first
#define se second
#define pb push_back
#define mp make_pair
#define foru(i, l, r) for(int i = l; i <= r; i++)
#define ford(i, r, l) for(int i = r; i >= l; i--)
#define eb emplace_back
typedef pair<int, int> ii;
typedef pair<ii, int> iii;
typedef pair<ii, ii> iiii;
const int N = 2e4 + 5, MAXN = 1e7 + 5;
const long long oo = 1e18 + 7, mod = 1e9 + 7;
int t, n, s, a[N];
int pref[N];
int nxt[55][N];
vector<int> vc[N];
int f[N], g[N], cnt[N];
int mx[N];
void process(){
cin >> n >> t >> s;
for(int i = 1; i <= t; i++) cin >> a[i];
for(int i = 1; i <= t; i++) pref[i] = (pref[i - 1] + a[i]);
for(int i = 1; i <= n; i++){
for(int j = 1; j <= t; j++){
char x;
cin >> x;
if(x == '0') nxt[i][j] = j;
else nxt[i][j] = oo;
}
if(nxt[i][t] != oo) vc[nxt[i][t]].pb(t);
for(int j = t - 1; j >= 1; j--){
nxt[i][j] = min(nxt[i][j], nxt[i][j + 1]);
if(nxt[i][j] != oo) vc[nxt[i][j]].pb(j);
}
}
//for(int i = 1; i <= t; i++) sort(vc[i].begin(), vc[i].end());
g[0] = 0;
for(int i = 1; i <= t; i++) g[i] = -oo;
//cout << pref[t] * n - g[t] << "\n";
for(int i = 1; i <= s; i++){
for(int j = 0; j <= t; j++) cnt[j] = 0;
for(int j = 0; j <= t; j++){
f[j] = g[j];
g[j] = -oo;
}
for(int j = 0; j <= n; j++) mx[j] = -oo;
for(int j = 1; j <= t; j++){
mx[0] = max(mx[0], f[j - 1]);
//cout << mx[0] << "\n";
for(auto it : vc[j]){
cnt[it]++;
assert(cnt[it] <= n);
mx[cnt[it]] = max(mx[cnt[it]], f[it - 1] - pref[it - 1] * cnt[it]);
//mx = max(mx, f[it - 1] + cnt[it] *)
}
for(int k = 0; k <= n; k++) g[j] = max(g[j], mx[k] + pref[j] * k);
//cout << i << " " << j << " " << g[j] << "\n";
}
//dnc(1, t, 0, t - 1);
//for(int j = 0; j <= t; j++) cout << g[j] << " ";
//cout << "\n";
cout << pref[t] * n - g[t] << "\n";
}
}
signed main(){
ios_base::sync_with_stdio(0);
#ifdef nqm
freopen("input.inp", "r", stdin);
freopen("output.out", "w", stdout);
#endif
#ifndef nqm
#endif
process();
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
716 KB |
Output is correct |
2 |
Correct |
1 ms |
972 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
8 ms |
1484 KB |
Output is correct |
2 |
Correct |
8 ms |
1356 KB |
Output is correct |
3 |
Correct |
8 ms |
1504 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
36 ms |
3020 KB |
Output is correct |
2 |
Correct |
52 ms |
3900 KB |
Output is correct |
3 |
Correct |
76 ms |
4920 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
716 KB |
Output is correct |
2 |
Correct |
1 ms |
972 KB |
Output is correct |
3 |
Correct |
8 ms |
1484 KB |
Output is correct |
4 |
Correct |
8 ms |
1356 KB |
Output is correct |
5 |
Correct |
8 ms |
1504 KB |
Output is correct |
6 |
Correct |
36 ms |
3020 KB |
Output is correct |
7 |
Correct |
52 ms |
3900 KB |
Output is correct |
8 |
Correct |
76 ms |
4920 KB |
Output is correct |
9 |
Correct |
103 ms |
7056 KB |
Output is correct |
10 |
Correct |
143 ms |
9184 KB |
Output is correct |
11 |
Correct |
325 ms |
18756 KB |
Output is correct |
12 |
Correct |
349 ms |
19092 KB |
Output is correct |
13 |
Correct |
358 ms |
19476 KB |
Output is correct |
14 |
Correct |
362 ms |
19512 KB |
Output is correct |
15 |
Correct |
360 ms |
19652 KB |
Output is correct |