oj.uz

Submission #825386

# Submission time Handle Problem Language Result Execution time Memory
825386 2023-08-14T19:12:27 Z grogu Chorus (JOI23_chorus) C++14
61 / 100
 5067 ms 216964 KB 
#define here cerr<<"===========================================\n"
#define dbg(x) cerr<<#x<<": "<<x<<endl;
#include <bits/stdc++.h>
#define ld double
#define ll long long
#define ull unsigned long long
#define llinf 100000000000000000LL // 10^17
#define iinf 2000000000 // 2*10^9
#define pb push_back
#define eb emplace_back
#define popb pop_back
#define fi first
#define sc second
#define endl '\n'
#define pii pair<int,int>
#define pll pair<ll,ll>
#define pld pair<ld,ld>
#define all(a) a.begin(),a.end()
#define ceri(a,l,r) {cerr<<#a<<": ";for(ll i_ = l;i_<=r;i_++) cerr<<a[i_]<< " ";cerr<<endl;}
#define cer(a) {cerr<<#a<<": ";for(ll x_ : a) cerr<<x_<< " ";cerr<<endl;}
#define si(a) (ll)(a.size())
using namespace std;


#define maxn 10005
ll n,k;
ll a[maxn];
ll c[maxn];
ll ps[maxn];
ll sz = 0;
ll dp[maxn][maxn];
struct line{
    ll n,k;
    line(){n = llinf;k = 0;}
    line(ll n_,ll k_){n = n_,k = k_;}
    ll operator()(ll x){
        return k*x+n;
    }
};
line t[2*maxn];
ll ls[2*maxn],rs[2*maxn],tsz = 0,root = 0;
void init(ll &v,ll tl,ll tr){
    if(!v) v = ++tsz;
    t[v] = line();
    if(tl==tr) return;
    ll mid = (tl+tr)/2;
    init(ls[v],tl,mid);
    init(rs[v],mid+1,tr);
}
void upd(ll v,ll tl,ll tr,line f){
    line g = t[v];
    if(tl==tr){
        if(f(tl)<g(tl)) t[v] = f;
        return;
    }
    ll mid = (tl+tr)/2;
    if(f(tl)>g(tl)) swap(f,g);
    if(f(mid)<=g(mid)){t[v] = f;upd(rs[v],mid+1,tr,g);}
    else{t[v] = g;upd(ls[v],tl,mid,f);}
}
ll get(ll v,ll tl,ll tr,ll i){
    if(tl==tr) return t[v](i);
    ll mid = (tl+tr)/2;
    if(i<=mid) return min(get(ls[v],tl,mid,i),t[v](i));
    return min(get(rs[v],mid+1,tr,i),t[v](i));
}
int main(){
	ios_base::sync_with_stdio(false);cerr.tie(0);cout.tie(0);cin.tie(0);
    cin >> n >> k;
    string s; cin >> s;
    for(ll i = 1;i<=2*n;i++){
        if(s[i-1]=='A') a[i] = 1;
    }
    ll b = 0;
    for(ll i = 2*n;i>=1;i--){
        if(a[i]==1){
            c[++sz] = b;
        }else b++;
    }
    for(ll i = 1;i<=n;i++) ps[i] = ps[i-1] + c[i];
    dp[0][0] = 0;
    for(ll i = 1;i<=n;i++) dp[i][0] = dp[0][i] = llinf;
    ll e = 0;
    for(ll j = 1;j<=k;j++){
        multiset<ll> s;
        init(root,1,n);
        e = 1;
        s.insert(dp[0][j-1]);
        for(ll i = 1;i<=n;i++){
            while(e<=i&&c[e]<=i){
                s.erase(s.find(dp[e-1][j-1]));
                line f(ps[e-1]+dp[e-1][j-1],-e);
                upd(root,1,n,f);
                e++;
            }
            dp[i][j] = llinf;
            if(si(s)) dp[i][j] = *s.begin();
            dp[i][j] = min(dp[i][j],get(root,1,n,i) - ps[e-1] + e*i);
            s.insert(dp[i][j-1]);
        }
    }
    //for(ll i = 0;i<=n;i++) ceri(dp[i],0,k);
    cout<<dp[n][k]<<endl;
	return (0-0);
}
/**
5 2
AABABABBAB

**/

Subtask #1
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 596 KB Output is correct
2 Correct 1 ms 596 KB Output is correct
3 Correct 0 ms 596 KB Output is correct
4 Correct 0 ms 596 KB Output is correct
5 Correct 0 ms 596 KB Output is correct
6 Correct 1 ms 596 KB Output is correct
7 Correct 0 ms 596 KB Output is correct
8 Correct 0 ms 596 KB Output is correct
9 Correct 0 ms 596 KB Output is correct
10 Correct 0 ms 596 KB Output is correct
11 Correct 0 ms 596 KB Output is correct
12 Correct 0 ms 596 KB Output is correct
13 Correct 0 ms 596 KB Output is correct
14 Correct 0 ms 596 KB Output is correct
15 Correct 0 ms 596 KB Output is correct
16 Correct 1 ms 596 KB Output is correct

Subtask #2
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 596 KB Output is correct
2 Correct 1 ms 596 KB Output is correct
3 Correct 0 ms 596 KB Output is correct
4 Correct 0 ms 596 KB Output is correct
5 Correct 0 ms 596 KB Output is correct
6 Correct 1 ms 596 KB Output is correct
7 Correct 0 ms 596 KB Output is correct
8 Correct 0 ms 596 KB Output is correct
9 Correct 0 ms 596 KB Output is correct
10 Correct 0 ms 596 KB Output is correct
11 Correct 0 ms 596 KB Output is correct
12 Correct 0 ms 596 KB Output is correct
13 Correct 0 ms 596 KB Output is correct
14 Correct 0 ms 596 KB Output is correct
15 Correct 0 ms 596 KB Output is correct
16 Correct 1 ms 596 KB Output is correct
17 Correct 2 ms 1492 KB Output is correct
18 Correct 9 ms 3028 KB Output is correct
19 Correct 27 ms 3796 KB Output is correct
20 Correct 1 ms 2644 KB Output is correct
21 Correct 1 ms 2644 KB Output is correct
22 Correct 29 ms 4676 KB Output is correct
23 Correct 30 ms 4692 KB Output is correct
24 Correct 2 ms 2772 KB Output is correct
25 Correct 32 ms 4680 KB Output is correct
26 Correct 28 ms 4292 KB Output is correct
27 Correct 13 ms 3328 KB Output is correct
28 Correct 13 ms 3412 KB Output is correct

Subtask #3
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 596 KB Output is correct
2 Correct 1 ms 596 KB Output is correct
3 Correct 0 ms 596 KB Output is correct
4 Correct 0 ms 596 KB Output is correct
5 Correct 0 ms 596 KB Output is correct
6 Correct 1 ms 596 KB Output is correct
7 Correct 0 ms 596 KB Output is correct
8 Correct 0 ms 596 KB Output is correct
9 Correct 0 ms 596 KB Output is correct
10 Correct 0 ms 596 KB Output is correct
11 Correct 0 ms 596 KB Output is correct
12 Correct 0 ms 596 KB Output is correct
13 Correct 0 ms 596 KB Output is correct
14 Correct 0 ms 596 KB Output is correct
15 Correct 0 ms 596 KB Output is correct
16 Correct 1 ms 596 KB Output is correct
17 Correct 2 ms 1492 KB Output is correct
18 Correct 9 ms 3028 KB Output is correct
19 Correct 27 ms 3796 KB Output is correct
20 Correct 1 ms 2644 KB Output is correct
21 Correct 1 ms 2644 KB Output is correct
22 Correct 29 ms 4676 KB Output is correct
23 Correct 30 ms 4692 KB Output is correct
24 Correct 2 ms 2772 KB Output is correct
25 Correct 32 ms 4680 KB Output is correct
26 Correct 28 ms 4292 KB Output is correct
27 Correct 13 ms 3328 KB Output is correct
28 Correct 13 ms 3412 KB Output is correct
29 Correct 1989 ms 100016 KB Output is correct
30 Correct 5067 ms 190980 KB Output is correct
31 Correct 1329 ms 61976 KB Output is correct
32 Correct 9 ms 21772 KB Output is correct
33 Correct 10 ms 21716 KB Output is correct
34 Correct 4223 ms 216964 KB Output is correct
35 Correct 4246 ms 216964 KB Output is correct
36 Correct 20 ms 22160 KB Output is correct
37 Correct 1049 ms 60788 KB Output is correct
38 Correct 3884 ms 183412 KB Output is correct
39 Correct 2365 ms 114664 KB Output is correct
40 Correct 1681 ms 86920 KB Output is correct
41 Correct 1674 ms 86832 KB Output is correct
42 Correct 2013 ms 86836 KB Output is correct

Subtask #4
0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 596 KB Output is correct
2 Correct 1 ms 596 KB Output is correct
3 Correct 0 ms 596 KB Output is correct
4 Correct 0 ms 596 KB Output is correct
5 Correct 0 ms 596 KB Output is correct
6 Correct 1 ms 596 KB Output is correct
7 Correct 0 ms 596 KB Output is correct
8 Correct 0 ms 596 KB Output is correct
9 Correct 0 ms 596 KB Output is correct
10 Correct 0 ms 596 KB Output is correct
11 Correct 0 ms 596 KB Output is correct
12 Correct 0 ms 596 KB Output is correct
13 Correct 0 ms 596 KB Output is correct
14 Correct 0 ms 596 KB Output is correct
15 Correct 0 ms 596 KB Output is correct
16 Correct 1 ms 596 KB Output is correct
17 Correct 2 ms 1492 KB Output is correct
18 Correct 9 ms 3028 KB Output is correct
19 Correct 27 ms 3796 KB Output is correct
20 Correct 1 ms 2644 KB Output is correct
21 Correct 1 ms 2644 KB Output is correct
22 Correct 29 ms 4676 KB Output is correct
23 Correct 30 ms 4692 KB Output is correct
24 Correct 2 ms 2772 KB Output is correct
25 Correct 32 ms 4680 KB Output is correct
26 Correct 28 ms 4292 KB Output is correct
27 Correct 13 ms 3328 KB Output is correct
28 Correct 13 ms 3412 KB Output is correct
29 Correct 1989 ms 100016 KB Output is correct
30 Correct 5067 ms 190980 KB Output is correct
31 Correct 1329 ms 61976 KB Output is correct
32 Correct 9 ms 21772 KB Output is correct
33 Correct 10 ms 21716 KB Output is correct
34 Correct 4223 ms 216964 KB Output is correct
35 Correct 4246 ms 216964 KB Output is correct
36 Correct 20 ms 22160 KB Output is correct
37 Correct 1049 ms 60788 KB Output is correct
38 Correct 3884 ms 183412 KB Output is correct
39 Correct 2365 ms 114664 KB Output is correct
40 Correct 1681 ms 86920 KB Output is correct
41 Correct 1674 ms 86832 KB Output is correct
42 Correct 2013 ms 86836 KB Output is correct
43 Runtime error 11 ms 1364 KB Execution killed with signal 11
44 Halted 0 ms 0 KB -

Subtask #5
0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 596 KB Output is correct
2 Correct 1 ms 596 KB Output is correct
3 Correct 0 ms 596 KB Output is correct
4 Correct 0 ms 596 KB Output is correct
5 Correct 0 ms 596 KB Output is correct
6 Correct 1 ms 596 KB Output is correct
7 Correct 0 ms 596 KB Output is correct
8 Correct 0 ms 596 KB Output is correct
9 Correct 0 ms 596 KB Output is correct
10 Correct 0 ms 596 KB Output is correct
11 Correct 0 ms 596 KB Output is correct
12 Correct 0 ms 596 KB Output is correct
13 Correct 0 ms 596 KB Output is correct
14 Correct 0 ms 596 KB Output is correct
15 Correct 0 ms 596 KB Output is correct
16 Correct 1 ms 596 KB Output is correct
17 Correct 2 ms 1492 KB Output is correct
18 Correct 9 ms 3028 KB Output is correct
19 Correct 27 ms 3796 KB Output is correct
20 Correct 1 ms 2644 KB Output is correct
21 Correct 1 ms 2644 KB Output is correct
22 Correct 29 ms 4676 KB Output is correct
23 Correct 30 ms 4692 KB Output is correct
24 Correct 2 ms 2772 KB Output is correct
25 Correct 32 ms 4680 KB Output is correct
26 Correct 28 ms 4292 KB Output is correct
27 Correct 13 ms 3328 KB Output is correct
28 Correct 13 ms 3412 KB Output is correct
29 Correct 1989 ms 100016 KB Output is correct
30 Correct 5067 ms 190980 KB Output is correct
31 Correct 1329 ms 61976 KB Output is correct
32 Correct 9 ms 21772 KB Output is correct
33 Correct 10 ms 21716 KB Output is correct
34 Correct 4223 ms 216964 KB Output is correct
35 Correct 4246 ms 216964 KB Output is correct
36 Correct 20 ms 22160 KB Output is correct
37 Correct 1049 ms 60788 KB Output is correct
38 Correct 3884 ms 183412 KB Output is correct
39 Correct 2365 ms 114664 KB Output is correct
40 Correct 1681 ms 86920 KB Output is correct
41 Correct 1674 ms 86832 KB Output is correct
42 Correct 2013 ms 86836 KB Output is correct
43 Runtime error 11 ms 1364 KB Execution killed with signal 11
44 Halted 0 ms 0 KB -