oj.uz

Submission #825450

# Submission time Handle Problem Language Result Execution time Memory
825450 2023-08-14T20:33:07 Z grogu Chorus (JOI23_chorus) C++14
87 / 100
 2058 ms 17208 KB 
#define here cerr<<"===========================================\n"
#define dbg(x) cerr<<#x<<": "<<x<<endl;
#include <bits/stdc++.h>
#define ld double
#define ll int64_t
#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 100005
ll n,k;
ll a[2*maxn];
ll c[maxn];
ll ps[maxn];
ll sz = 0;
ll dp[maxn];
struct line{
    ll n,k,cnti;
    line(){n = llinf;k = 0;cnti = 0;}
    line(ll n_,ll k_,ll cnti_){n = n_,k = k_,cnti = cnti_;}
    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);
}
bool cmp(line f,line g,ll i){
    if(f(i)==g(i)){
        return f.cnti>g.cnti;
    }
    return f(i)<g(i);
}
line mini(line f,line g,ll i){
    if(cmp(f,g,i)) return f;
    return g;
}
void upd(ll v,ll tl,ll tr,line f){
    line g = t[v];
    if(tl==tr){
        if(cmp(f,g,tl)) t[v] = f;
        return;
    }
    ll mid = (tl+tr)/2;
    if(cmp(g,f,tl)) swap(f,g);
    if(cmp(f,g,mid)){t[v] = f;upd(rs[v],mid+1,tr,g);}
    else{t[v] = g;upd(ls[v],tl,mid,f);}
}
line get(ll v,ll tl,ll tr,ll i){
    if(tl==tr) return t[v];
    ll mid = (tl+tr)/2;
    if(i<=mid) return mini(get(ls[v],tl,mid,i),t[v],i);
    return mini(get(rs[v],mid+1,tr,i),t[v],i);
}
ll cnt[maxn];
ll check(ll x){
    multiset<pll> s;
    init(root,1,n);
    ll e = 1;
    s.insert({0,0});
    dp[0] = 0;
    cnt[0] = 0;
    for(ll i = 1;i<=n;i++){
        while(e<=i&&c[e]<i){
            s.erase(s.find({dp[e-1],-cnt[e-1]}));
            line f(ps[e-1]+dp[e-1],-e,cnt[e-1]);
            upd(root,1,n,f);
            e++;
        }
        dp[i] = llinf*2; cnt[i] = 0;
        if(si(s)){
            dp[i] = (*s.begin()).fi + x;
            cnt[i] = -(*s.begin()).sc + 1;
        }
        line f = get(root,1,n,i);
        if(f(i) - ps[e-1] + e*i + x < dp[i]){
            dp[i] = f(i) - ps[e-1] + e*i + x;
            cnt[i] = f.cnti+1;
        }else if(f(i) - ps[e-1] + e*i + x == dp[i]&&f.cnti+1>cnt[i]){
            cnt[i] = f.cnti+1;
            dbg(i);
        }
        s.insert({dp[i],-cnt[i]});
    }
    return cnt[n];
}
ll bs(){
    ll l = 0,r = llinf/10,mid,rez = 0;
    while(l<=r){
        mid = (l+r)/2;
        ll e = check(mid);
        if(e<k){
            r = mid-1;
        }else{
            rez = mid;
            l = mid+1;
        }
    }
    check(rez);
    return dp[n]-k*rez;
}
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];
    //for(ll i = 0;i<=n;i++) ceri(dp[i],0,k);
    cout<<bs()<<endl;
	return (0-0);
}
/**
5 2
AABABABBAB

10 9
BBBBBBBBBBAAAAAAAAAA

10 4
ABAAABBBAAABBBAABBAB


**/

Subtask #1
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 4948 KB Output is correct
2 Correct 2 ms 4948 KB Output is correct
3 Correct 2 ms 4948 KB Output is correct
4 Correct 2 ms 4948 KB Output is correct
5 Correct 2 ms 4948 KB Output is correct
6 Correct 2 ms 4948 KB Output is correct
7 Correct 2 ms 4948 KB Output is correct
8 Correct 2 ms 4948 KB Output is correct
9 Correct 2 ms 4948 KB Output is correct
10 Correct 2 ms 5016 KB Output is correct
11 Correct 2 ms 4948 KB Output is correct
12 Correct 2 ms 4948 KB Output is correct
13 Correct 2 ms 4948 KB Output is correct
14 Correct 2 ms 4948 KB Output is correct
15 Correct 2 ms 4948 KB Output is correct
16 Correct 2 ms 4948 KB Output is correct

Subtask #2
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 4948 KB Output is correct
2 Correct 2 ms 4948 KB Output is correct
3 Correct 2 ms 4948 KB Output is correct
4 Correct 2 ms 4948 KB Output is correct
5 Correct 2 ms 4948 KB Output is correct
6 Correct 2 ms 4948 KB Output is correct
7 Correct 2 ms 4948 KB Output is correct
8 Correct 2 ms 4948 KB Output is correct
9 Correct 2 ms 4948 KB Output is correct
10 Correct 2 ms 5016 KB Output is correct
11 Correct 2 ms 4948 KB Output is correct
12 Correct 2 ms 4948 KB Output is correct
13 Correct 2 ms 4948 KB Output is correct
14 Correct 2 ms 4948 KB Output is correct
15 Correct 2 ms 4948 KB Output is correct
16 Correct 2 ms 4948 KB Output is correct
17 Correct 4 ms 4948 KB Output is correct
18 Correct 12 ms 5204 KB Output is correct
19 Correct 9 ms 5076 KB Output is correct
20 Correct 7 ms 5076 KB Output is correct
21 Correct 7 ms 5076 KB Output is correct
22 Correct 7 ms 5092 KB Output is correct
23 Correct 7 ms 5076 KB Output is correct
24 Correct 8 ms 5104 KB Output is correct
25 Correct 7 ms 5076 KB Output is correct
26 Correct 7 ms 5076 KB Output is correct
27 Correct 8 ms 5100 KB Output is correct
28 Correct 8 ms 5076 KB Output is correct

Subtask #3
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 4948 KB Output is correct
2 Correct 2 ms 4948 KB Output is correct
3 Correct 2 ms 4948 KB Output is correct
4 Correct 2 ms 4948 KB Output is correct
5 Correct 2 ms 4948 KB Output is correct
6 Correct 2 ms 4948 KB Output is correct
7 Correct 2 ms 4948 KB Output is correct
8 Correct 2 ms 4948 KB Output is correct
9 Correct 2 ms 4948 KB Output is correct
10 Correct 2 ms 5016 KB Output is correct
11 Correct 2 ms 4948 KB Output is correct
12 Correct 2 ms 4948 KB Output is correct
13 Correct 2 ms 4948 KB Output is correct
14 Correct 2 ms 4948 KB Output is correct
15 Correct 2 ms 4948 KB Output is correct
16 Correct 2 ms 4948 KB Output is correct
17 Correct 4 ms 4948 KB Output is correct
18 Correct 12 ms 5204 KB Output is correct
19 Correct 9 ms 5076 KB Output is correct
20 Correct 7 ms 5076 KB Output is correct
21 Correct 7 ms 5076 KB Output is correct
22 Correct 7 ms 5092 KB Output is correct
23 Correct 7 ms 5076 KB Output is correct
24 Correct 8 ms 5104 KB Output is correct
25 Correct 7 ms 5076 KB Output is correct
26 Correct 7 ms 5076 KB Output is correct
27 Correct 8 ms 5100 KB Output is correct
28 Correct 8 ms 5076 KB Output is correct
29 Correct 68 ms 5460 KB Output is correct
30 Correct 89 ms 5476 KB Output is correct
31 Correct 94 ms 5472 KB Output is correct
32 Correct 67 ms 5432 KB Output is correct
33 Correct 67 ms 5428 KB Output is correct
34 Correct 75 ms 5428 KB Output is correct
35 Correct 74 ms 5432 KB Output is correct
36 Correct 90 ms 5468 KB Output is correct
37 Correct 84 ms 5468 KB Output is correct
38 Correct 68 ms 5472 KB Output is correct
39 Correct 74 ms 5472 KB Output is correct
40 Correct 76 ms 5472 KB Output is correct
41 Correct 76 ms 5472 KB Output is correct
42 Correct 76 ms 5588 KB Output is correct

Subtask #4
26.0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 4948 KB Output is correct
2 Correct 2 ms 4948 KB Output is correct
3 Correct 2 ms 4948 KB Output is correct
4 Correct 2 ms 4948 KB Output is correct
5 Correct 2 ms 4948 KB Output is correct
6 Correct 2 ms 4948 KB Output is correct
7 Correct 2 ms 4948 KB Output is correct
8 Correct 2 ms 4948 KB Output is correct
9 Correct 2 ms 4948 KB Output is correct
10 Correct 2 ms 5016 KB Output is correct
11 Correct 2 ms 4948 KB Output is correct
12 Correct 2 ms 4948 KB Output is correct
13 Correct 2 ms 4948 KB Output is correct
14 Correct 2 ms 4948 KB Output is correct
15 Correct 2 ms 4948 KB Output is correct
16 Correct 2 ms 4948 KB Output is correct
17 Correct 4 ms 4948 KB Output is correct
18 Correct 12 ms 5204 KB Output is correct
19 Correct 9 ms 5076 KB Output is correct
20 Correct 7 ms 5076 KB Output is correct
21 Correct 7 ms 5076 KB Output is correct
22 Correct 7 ms 5092 KB Output is correct
23 Correct 7 ms 5076 KB Output is correct
24 Correct 8 ms 5104 KB Output is correct
25 Correct 7 ms 5076 KB Output is correct
26 Correct 7 ms 5076 KB Output is correct
27 Correct 8 ms 5100 KB Output is correct
28 Correct 8 ms 5076 KB Output is correct
29 Correct 68 ms 5460 KB Output is correct
30 Correct 89 ms 5476 KB Output is correct
31 Correct 94 ms 5472 KB Output is correct
32 Correct 67 ms 5432 KB Output is correct
33 Correct 67 ms 5428 KB Output is correct
34 Correct 75 ms 5428 KB Output is correct
35 Correct 74 ms 5432 KB Output is correct
36 Correct 90 ms 5468 KB Output is correct
37 Correct 84 ms 5468 KB Output is correct
38 Correct 68 ms 5472 KB Output is correct
39 Correct 74 ms 5472 KB Output is correct
40 Correct 76 ms 5472 KB Output is correct
41 Correct 76 ms 5472 KB Output is correct
42 Correct 76 ms 5588 KB Output is correct
43 Correct 1176 ms 10084 KB Output is correct
44 Correct 2053 ms 13268 KB Output is correct
45 Correct 2056 ms 13344 KB Output is correct
46 Correct 1646 ms 12504 KB Output is correct
47 Correct 1623 ms 12536 KB Output is correct
48 Correct 1543 ms 12504 KB Output is correct
49 Correct 1550 ms 12580 KB Output is correct
50 Correct 2005 ms 13284 KB Output is correct
51 Correct 2058 ms 13348 KB Output is correct
52 Correct 1633 ms 13344 KB Output is correct
53 Correct 1606 ms 13272 KB Output is correct
54 Correct 1868 ms 13272 KB Output is correct

Subtask #5
0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 4948 KB Output is correct
2 Correct 2 ms 4948 KB Output is correct
3 Correct 2 ms 4948 KB Output is correct
4 Correct 2 ms 4948 KB Output is correct
5 Correct 2 ms 4948 KB Output is correct
6 Correct 2 ms 4948 KB Output is correct
7 Correct 2 ms 4948 KB Output is correct
8 Correct 2 ms 4948 KB Output is correct
9 Correct 2 ms 4948 KB Output is correct
10 Correct 2 ms 5016 KB Output is correct
11 Correct 2 ms 4948 KB Output is correct
12 Correct 2 ms 4948 KB Output is correct
13 Correct 2 ms 4948 KB Output is correct
14 Correct 2 ms 4948 KB Output is correct
15 Correct 2 ms 4948 KB Output is correct
16 Correct 2 ms 4948 KB Output is correct
17 Correct 4 ms 4948 KB Output is correct
18 Correct 12 ms 5204 KB Output is correct
19 Correct 9 ms 5076 KB Output is correct
20 Correct 7 ms 5076 KB Output is correct
21 Correct 7 ms 5076 KB Output is correct
22 Correct 7 ms 5092 KB Output is correct
23 Correct 7 ms 5076 KB Output is correct
24 Correct 8 ms 5104 KB Output is correct
25 Correct 7 ms 5076 KB Output is correct
26 Correct 7 ms 5076 KB Output is correct
27 Correct 8 ms 5100 KB Output is correct
28 Correct 8 ms 5076 KB Output is correct
29 Correct 68 ms 5460 KB Output is correct
30 Correct 89 ms 5476 KB Output is correct
31 Correct 94 ms 5472 KB Output is correct
32 Correct 67 ms 5432 KB Output is correct
33 Correct 67 ms 5428 KB Output is correct
34 Correct 75 ms 5428 KB Output is correct
35 Correct 74 ms 5432 KB Output is correct
36 Correct 90 ms 5468 KB Output is correct
37 Correct 84 ms 5468 KB Output is correct
38 Correct 68 ms 5472 KB Output is correct
39 Correct 74 ms 5472 KB Output is correct
40 Correct 76 ms 5472 KB Output is correct
41 Correct 76 ms 5472 KB Output is correct
42 Correct 76 ms 5588 KB Output is correct
43 Correct 1176 ms 10084 KB Output is correct
44 Correct 2053 ms 13268 KB Output is correct
45 Correct 2056 ms 13344 KB Output is correct
46 Correct 1646 ms 12504 KB Output is correct
47 Correct 1623 ms 12536 KB Output is correct
48 Correct 1543 ms 12504 KB Output is correct
49 Correct 1550 ms 12580 KB Output is correct
50 Correct 2005 ms 13284 KB Output is correct
51 Correct 2058 ms 13348 KB Output is correct
52 Correct 1633 ms 13344 KB Output is correct
53 Correct 1606 ms 13272 KB Output is correct
54 Correct 1868 ms 13272 KB Output is correct
55 Runtime error 13 ms 17208 KB Execution killed with signal 11
56 Halted 0 ms 0 KB -