oj.uz

Submission #767568

# Submission time Handle Problem Language Result Execution time Memory
767568 2023-06-26T21:02:07 Z PurpleCrayon Chorus (JOI23_chorus) C++17
61 / 100
 429 ms 2032 KB 
#include <bits/stdc++.h>
using namespace std;
 
#define sz(v) int(v.size())
#define ar array
typedef long long ll;
const int N = 5e3+10, MOD = 1e9+7;
const ll INF = 1e18+10;
 
int n, K, small[N];
ll ps[N], l_use[N];
vector<int> one, two;
 
// min CHT with
//  - slopes decreasing
//  - query x increasing
 
 
struct Line {
    ll m, b;
    ll calc(ll x) {
        return m * x + b;
    }
};
 
struct CHT {
    deque<Line> lines;
 
    void add(ll m, ll b) {
        while (sz(lines) >= 2) {
            auto A = lines.end()[-2];
            auto B = lines.end()[-1];

            if ((b - A.b) * (A.m - B.m) <= (B.b - A.b) * (A.m - m)) lines.pop_back();
            else break;
        }
        lines.push_back({m, b});
    }
 
    ll qry(ll x) {
        while (sz(lines) >= 2 && lines[0].calc(x) >= lines[1].calc(x)) {
            lines.pop_front();
        }
 
        return lines[0].calc(x);
    }
};
 
void solve() {
    cin >> n >> K;
    for (int i = 0; i < 2 * n; i++) {
        char c; cin >> c;
        if (c == 'A') one.push_back(i);
        else two.push_back(i);
    }
 
    for (int i = 0; i < n; i++) {
        small[i] = lower_bound(two.begin(), two.end(), one[i]) - two.begin();
    }
 
    for (int i = 0; i < n; i++) {
        ps[i] = small[i] + (i ? ps[i-1] : 0);
    }

    auto calc_sum = [&](int L, int R) {
        return (long long) (L + R) * (R - L + 1) / 2;
    };

    for (int i = 0; i < n; i++) {
        l_use[i] = -(i ? ps[i-1] : 0);

        for (int j = i; j < n; j++) {
            if (small[j] < i) {
                l_use[i] -= small[j] - i;
            }
        }

        /*
        int use = lower_bound(small, small + n, i) - small - 1; // [i..use]
        if (use >= i) {
            l_use[i] -= ps[use] - (i ? ps[i-1] : 0) - calc_sum(i, use);
        }
        */
    }
 
    vector<ll> prv(n, INF);
    for (int k = 1; k <= K; k++) {
        vector<ll> nxt(n, INF);
 
        CHT lines;
        for (int i = 0; i < n; i++) {
            lines.add(-i, (long long) i * i - i + l_use[i] + (i == 0 ? 0 : prv[i-1]));
            nxt[i] = lines.qry(i) + ps[i];
 
            int l = small[i];
            if (l <= i) {
                nxt[i] = min(nxt[i], (l == 0 ? 0 : prv[l-1]));
            }
        }
        swap(prv, nxt);
    }
 
    cout << prv[n-1] << '\n';
}
 
int main() {
    ios::sync_with_stdio(false); cin.tie(0);
    int T = 1;
    // cin >> T;
    while (T--) solve();
}

Compilation message

chorus.cpp: In function 'void solve()':
chorus.cpp:65:10: warning: variable 'calc_sum' set but not used [-Wunused-but-set-variable]
   65 |     auto calc_sum = [&](int L, int R) {
      |          ^~~~~~~~

Subtask #1
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 264 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 0 ms 340 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 0 ms 212 KB Output is correct

Subtask #2
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 264 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 0 ms 340 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 2 ms 340 KB Output is correct
20 Correct 0 ms 340 KB Output is correct
21 Correct 1 ms 340 KB Output is correct
22 Correct 3 ms 340 KB Output is correct
23 Correct 3 ms 340 KB Output is correct
24 Correct 1 ms 340 KB Output is correct
25 Correct 3 ms 340 KB Output is correct
26 Correct 3 ms 340 KB Output is correct
27 Correct 2 ms 336 KB Output is correct
28 Correct 2 ms 324 KB Output is correct

Subtask #3
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 264 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 0 ms 340 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 2 ms 340 KB Output is correct
20 Correct 0 ms 340 KB Output is correct
21 Correct 1 ms 340 KB Output is correct
22 Correct 3 ms 340 KB Output is correct
23 Correct 3 ms 340 KB Output is correct
24 Correct 1 ms 340 KB Output is correct
25 Correct 3 ms 340 KB Output is correct
26 Correct 3 ms 340 KB Output is correct
27 Correct 2 ms 336 KB Output is correct
28 Correct 2 ms 324 KB Output is correct
29 Correct 158 ms 592 KB Output is correct
30 Correct 429 ms 596 KB Output is correct
31 Correct 111 ms 592 KB Output is correct
32 Correct 9 ms 596 KB Output is correct
33 Correct 9 ms 596 KB Output is correct
34 Correct 252 ms 620 KB Output is correct
35 Correct 261 ms 596 KB Output is correct
36 Correct 10 ms 512 KB Output is correct
37 Correct 100 ms 604 KB Output is correct
38 Correct 235 ms 636 KB Output is correct
39 Correct 172 ms 620 KB Output is correct
40 Correct 100 ms 584 KB Output is correct
41 Correct 103 ms 588 KB Output is correct
42 Correct 94 ms 596 KB Output is correct

Subtask #4
0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 264 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 0 ms 340 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 2 ms 340 KB Output is correct
20 Correct 0 ms 340 KB Output is correct
21 Correct 1 ms 340 KB Output is correct
22 Correct 3 ms 340 KB Output is correct
23 Correct 3 ms 340 KB Output is correct
24 Correct 1 ms 340 KB Output is correct
25 Correct 3 ms 340 KB Output is correct
26 Correct 3 ms 340 KB Output is correct
27 Correct 2 ms 336 KB Output is correct
28 Correct 2 ms 324 KB Output is correct
29 Correct 158 ms 592 KB Output is correct
30 Correct 429 ms 596 KB Output is correct
31 Correct 111 ms 592 KB Output is correct
32 Correct 9 ms 596 KB Output is correct
33 Correct 9 ms 596 KB Output is correct
34 Correct 252 ms 620 KB Output is correct
35 Correct 261 ms 596 KB Output is correct
36 Correct 10 ms 512 KB Output is correct
37 Correct 100 ms 604 KB Output is correct
38 Correct 235 ms 636 KB Output is correct
39 Correct 172 ms 620 KB Output is correct
40 Correct 100 ms 584 KB Output is correct
41 Correct 103 ms 588 KB Output is correct
42 Correct 94 ms 596 KB Output is correct
43 Runtime error 4 ms 2032 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 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 264 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 0 ms 340 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 2 ms 340 KB Output is correct
20 Correct 0 ms 340 KB Output is correct
21 Correct 1 ms 340 KB Output is correct
22 Correct 3 ms 340 KB Output is correct
23 Correct 3 ms 340 KB Output is correct
24 Correct 1 ms 340 KB Output is correct
25 Correct 3 ms 340 KB Output is correct
26 Correct 3 ms 340 KB Output is correct
27 Correct 2 ms 336 KB Output is correct
28 Correct 2 ms 324 KB Output is correct
29 Correct 158 ms 592 KB Output is correct
30 Correct 429 ms 596 KB Output is correct
31 Correct 111 ms 592 KB Output is correct
32 Correct 9 ms 596 KB Output is correct
33 Correct 9 ms 596 KB Output is correct
34 Correct 252 ms 620 KB Output is correct
35 Correct 261 ms 596 KB Output is correct
36 Correct 10 ms 512 KB Output is correct
37 Correct 100 ms 604 KB Output is correct
38 Correct 235 ms 636 KB Output is correct
39 Correct 172 ms 620 KB Output is correct
40 Correct 100 ms 584 KB Output is correct
41 Correct 103 ms 588 KB Output is correct
42 Correct 94 ms 596 KB Output is correct
43 Runtime error 4 ms 2032 KB Execution killed with signal 11
44 Halted 0 ms 0 KB -