oj.uz

Submission #963062

# Submission time Handle Problem Language Result Execution time Memory
963062 2024-04-14T12:41:42 Z RaresFelix Chorus (JOI23_chorus) C++17
87 / 100
 7000 ms 47616 KB 
#include <bits/stdc++.h>
//#pragma GCC optimize("O3")
//#pragma GCC target("avx,avx2,fma")

#define sz(x) int((x).size())
#define all(x) (x).begin(), (x).end()
#define rall(x) (x).rbegin(), (x).rend()

using namespace std;
using ll = long long;
using ld = long double;  // or double, if TL is tight
using str = string; 
using ii = pair<int, int>;
using pl = pair<ll, ll>;
using vi = vector<int>;
using vll = vector<ll>;

const ll INF = 1e18;

struct CHT {
    int p = 0;
    vector<pair<ll, ll> > V;
    void insert(ll a, ll b) { /// ax + b
        //a va scadea mereu
        while(V.size() > 1) {
            auto [a1, b1] = V.end()[-1];
            auto [a2, b2] = V.end()[-2];
            if((b2 - b) * (a1 - a2) <= (b2 - b1) * (a - a2)) {
                V.pop_back();
                p = min(p, int(V.size()) - 1);
            }
            else break;
        }
        V.push_back({a, b});
    }

    ll query(ll x) {
        if(V.empty()) return INF;
        ll re = INF;
        auto eval = [&](int i) -> ll {
            return V[i].first * x + V[i].second;
        };
        while(p + 1 < V.size() && eval(p + 1) < eval(p)) ++p;
        return min(eval(p), INF);
    }
};

int main() {
    cin.tie(0);
    ios_base::sync_with_stdio(0);

    int n, k;
    cin >> n >> k;

    string s0, s;
    cin >> s0;
    ll re0 = 0;
    int nrB = 0, sum = 0;
    for(auto it : s0) {
        if(it == 'A') {
            ++sum;
            s += 'A';
            re0 += nrB;
            if(nrB && sum) {
                s += 'B';
                --nrB;
                --sum;
            }
        } else {
            if(sum) {
                s += 'B';
                --sum;
            } else {
                ++nrB;
            }
        }
    }

    vll A, P(n + 1);
    vll SA;
    P[0] = -1;
    for(auto it : s) {
        if(it == 'A'){
            A.push_back(nrB);
            if(SA.empty())
                SA.push_back(A.back());
            else
                SA.push_back(A.back() + SA.back());
        } 
        else {
            ++nrB;
            P[nrB] = (int)A.size() - 1;
        }
    }
    vll SAP(n);
    for(int i = 0; i < n; ++i) {
        SAP[i] = 0;
        if(P[i] != -1) SAP[i] = SA[P[i]];
    }

    auto cost = [&](ll st, ll dr) {
        return st * P[st] - SAP[st] + SA[dr] - st * dr;
    };


    auto t = [&](ll lambda) {
        ll re = - lambda * k;
        vll DP(n, INF);

        CHT Sol;

        for(int i = 0; i < n; ++i) {
            DP[i] = cost(0, i) + lambda;
            if(i)
                Sol.insert(-i, i * P[i] - SAP[i] + DP[i - 1]);
            DP[i] = min(DP[i], lambda + SA[i] + Sol.query(i));
        }

        return DP[n - 1] + re;
    };

    ll st = 0, dr = 1e12, mij;

    ll re = 0;
    for(int i = 0; i <= 200; ++i) {
        ll m1 = (2 * st + dr) / 3, v1 = t(m1);
        ll m2 = (st + 2 * dr) / 3, v2 = t(m2);
        re = max(re, v1);
        re = max(re, v2);
        if(st == dr) break;
        if(v1 > v2) dr = m2;
        else st = m1;
    }


    cout << re0 + re << "\n";
    return 0;
}

Compilation message

chorus.cpp: In member function 'll CHT::query(ll)':
chorus.cpp:43:21: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<long long int, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   43 |         while(p + 1 < V.size() && eval(p + 1) < eval(p)) ++p;
      |               ~~~~~~^~~~~~~~~~
chorus.cpp:39:12: warning: unused variable 're' [-Wunused-variable]
   39 |         ll re = INF;
      |            ^~
chorus.cpp: In function 'int main()':
chorus.cpp:122:27: warning: unused variable 'mij' [-Wunused-variable]
  122 |     ll st = 0, dr = 1e12, mij;
      |                           ^~~

Subtask #1
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 1 ms 500 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 1 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct

Subtask #2
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 1 ms 500 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 1 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
18 Correct 4 ms 348 KB Output is correct
19 Correct 3 ms 344 KB Output is correct
20 Correct 3 ms 348 KB Output is correct
21 Correct 3 ms 348 KB Output is correct
22 Correct 4 ms 500 KB Output is correct
23 Correct 4 ms 344 KB Output is correct
24 Correct 3 ms 348 KB Output is correct
25 Correct 3 ms 348 KB Output is correct
26 Correct 5 ms 504 KB Output is correct
27 Correct 4 ms 600 KB Output is correct
28 Correct 3 ms 344 KB Output is correct

Subtask #3
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 1 ms 500 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 1 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
18 Correct 4 ms 348 KB Output is correct
19 Correct 3 ms 344 KB Output is correct
20 Correct 3 ms 348 KB Output is correct
21 Correct 3 ms 348 KB Output is correct
22 Correct 4 ms 500 KB Output is correct
23 Correct 4 ms 344 KB Output is correct
24 Correct 3 ms 348 KB Output is correct
25 Correct 3 ms 348 KB Output is correct
26 Correct 5 ms 504 KB Output is correct
27 Correct 4 ms 600 KB Output is correct
28 Correct 3 ms 344 KB Output is correct
29 Correct 34 ms 924 KB Output is correct
30 Correct 36 ms 684 KB Output is correct
31 Correct 36 ms 604 KB Output is correct
32 Correct 37 ms 924 KB Output is correct
33 Correct 36 ms 928 KB Output is correct
34 Correct 42 ms 928 KB Output is correct
35 Correct 42 ms 928 KB Output is correct
36 Correct 34 ms 836 KB Output is correct
37 Correct 36 ms 604 KB Output is correct
38 Correct 46 ms 924 KB Output is correct
39 Correct 35 ms 920 KB Output is correct
40 Correct 30 ms 604 KB Output is correct
41 Correct 31 ms 604 KB Output is correct
42 Correct 30 ms 756 KB Output is correct

Subtask #4
26.0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 1 ms 500 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 1 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
18 Correct 4 ms 348 KB Output is correct
19 Correct 3 ms 344 KB Output is correct
20 Correct 3 ms 348 KB Output is correct
21 Correct 3 ms 348 KB Output is correct
22 Correct 4 ms 500 KB Output is correct
23 Correct 4 ms 344 KB Output is correct
24 Correct 3 ms 348 KB Output is correct
25 Correct 3 ms 348 KB Output is correct
26 Correct 5 ms 504 KB Output is correct
27 Correct 4 ms 600 KB Output is correct
28 Correct 3 ms 344 KB Output is correct
29 Correct 34 ms 924 KB Output is correct
30 Correct 36 ms 684 KB Output is correct
31 Correct 36 ms 604 KB Output is correct
32 Correct 37 ms 924 KB Output is correct
33 Correct 36 ms 928 KB Output is correct
34 Correct 42 ms 928 KB Output is correct
35 Correct 42 ms 928 KB Output is correct
36 Correct 34 ms 836 KB Output is correct
37 Correct 36 ms 604 KB Output is correct
38 Correct 46 ms 924 KB Output is correct
39 Correct 35 ms 920 KB Output is correct
40 Correct 30 ms 604 KB Output is correct
41 Correct 31 ms 604 KB Output is correct
42 Correct 30 ms 756 KB Output is correct
43 Correct 530 ms 5004 KB Output is correct
44 Correct 870 ms 8520 KB Output is correct
45 Correct 903 ms 8240 KB Output is correct
46 Correct 917 ms 8748 KB Output is correct
47 Correct 815 ms 9220 KB Output is correct
48 Correct 883 ms 9176 KB Output is correct
49 Correct 1033 ms 8864 KB Output is correct
50 Correct 867 ms 8264 KB Output is correct
51 Correct 845 ms 8288 KB Output is correct
52 Correct 1010 ms 8904 KB Output is correct
53 Correct 998 ms 8716 KB Output is correct
54 Correct 868 ms 9096 KB Output is correct

Subtask #5
0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 1 ms 500 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 1 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
18 Correct 4 ms 348 KB Output is correct
19 Correct 3 ms 344 KB Output is correct
20 Correct 3 ms 348 KB Output is correct
21 Correct 3 ms 348 KB Output is correct
22 Correct 4 ms 500 KB Output is correct
23 Correct 4 ms 344 KB Output is correct
24 Correct 3 ms 348 KB Output is correct
25 Correct 3 ms 348 KB Output is correct
26 Correct 5 ms 504 KB Output is correct
27 Correct 4 ms 600 KB Output is correct
28 Correct 3 ms 344 KB Output is correct
29 Correct 34 ms 924 KB Output is correct
30 Correct 36 ms 684 KB Output is correct
31 Correct 36 ms 604 KB Output is correct
32 Correct 37 ms 924 KB Output is correct
33 Correct 36 ms 928 KB Output is correct
34 Correct 42 ms 928 KB Output is correct
35 Correct 42 ms 928 KB Output is correct
36 Correct 34 ms 836 KB Output is correct
37 Correct 36 ms 604 KB Output is correct
38 Correct 46 ms 924 KB Output is correct
39 Correct 35 ms 920 KB Output is correct
40 Correct 30 ms 604 KB Output is correct
41 Correct 31 ms 604 KB Output is correct
42 Correct 30 ms 756 KB Output is correct
43 Correct 530 ms 5004 KB Output is correct
44 Correct 870 ms 8520 KB Output is correct
45 Correct 903 ms 8240 KB Output is correct
46 Correct 917 ms 8748 KB Output is correct
47 Correct 815 ms 9220 KB Output is correct
48 Correct 883 ms 9176 KB Output is correct
49 Correct 1033 ms 8864 KB Output is correct
50 Correct 867 ms 8264 KB Output is correct
51 Correct 845 ms 8288 KB Output is correct
52 Correct 1010 ms 8904 KB Output is correct
53 Correct 998 ms 8716 KB Output is correct
54 Correct 868 ms 9096 KB Output is correct
55 Execution timed out 7066 ms 47616 KB Time limit exceeded
56 Halted 0 ms 0 KB -