oj.uz

Submission #788793

# Submission time Handle Problem Language Result Execution time Memory
788793 2023-07-20T15:50:31 Z hugo_pm Chorus (JOI23_chorus) C++17
87 / 100
 1020 ms 85760 KB 
#include <bits/stdc++.h>
#define int long long
using namespace std;
	
#define all(v) (v).begin(), (v).end()
#define rall(v) (v).rbegin(), (v).rend()
#define rep(i, a, b) for(int i = (a); i < (b); i++)
#define sz(v) ((int)((v).size()))
	
template<typename T>
void chmax(T &x, const T &v) { if (x < v) x = v; }
template<typename T>
void chmin(T &x, const T &v) { if (x > v) x = v; }
	
using pii = pair<int, int>;
using vi = vector<int>;
	
string to_string(string s) { return s; }
template <typename T> string to_string(T v) {
	bool first = true;
	string res = "[";
	for (const auto &x : v) {
		if (!first)
			res += ", ";
		first = false;
		res += to_string(x);
	}
	res += "]";
	return res;
}
	
void dbg_out() { cout << endl; }
template <typename Head, typename... Tail> void dbg_out(Head H, Tail... T) {
	cout << ' ' << to_string(H);
	dbg_out(T...);
}
	
#ifdef DEBUG
#define dbg(...) cout << "(" << #__VA_ARGS__ << "):", dbg_out(__VA_ARGS__)
#else
#define dbg(...)
#endif
	
const int INF = 1e12;
struct Line {
	int m, p, cnt;
	pii eval(int x) const {
		return {m*x+p, cnt};
	}
};
	
struct LineContainer {
	vector<Line> fs;
	int front = 0;
	bool bad(Line a, Line b, Line c) {
		// (cp-ap)/(am-cm) < (bp-ap)/(am-bm)
		int v1 = (c.p - a.p) * (a.m - b.m);
		int v2 = (b.p - a.p) * (a.m - c.m);
		return v1 >= v2;
	}
	void add (Line l) {
		int szFs = sz(fs);
		while (szFs >= front+2 && bad(fs[szFs-2], fs[szFs-1], l)) {
			fs.pop_back(), --szFs;
		}
		fs.push_back(l);
	}
	pii min(int x) {
		if (fs.empty()) return {INF, INF};
		chmin(front, sz(fs)-1);
		while (front+1 < sz(fs) && fs[front].eval(x) >= fs[front+1].eval(x)) {
			++front;
		}
		return fs[front].eval(x);
	}
};
	
int N, K;
string S;
// ferme[i] = nombre d'ouvrants avant Fi
vector<int> ouvre, ferme;
vector<int> cumuFerme;
int coutExclus(int left, int right) {
	if (left >= right) {
		return 0;
	}
	int projExclus = min(right, ouvre[right-1]);
	if (projExclus <= left) return 0;
	return (projExclus - left)*(right) - (cumuFerme[projExclus] - cumuFerme[left]);
}
signed main() {
	ios::sync_with_stdio(false);
	cin.tie(0);
	
	cin >> N >> K >> S;
	{
		int curOuvre = 0, curFerme = 0;
		cumuFerme.push_back(0);
		for (char c : S) {
			if (c == 'A') {
				++curOuvre;
				ouvre.push_back(curFerme);
			} else {
				++curFerme;
				ferme.push_back(curOuvre);
				cumuFerme.push_back(cumuFerme.back() + curOuvre);
			}
		}
	}
	
	auto calc = [&] (int lambda) -> pii {
		vector<pii> dp(N+1, {INF, INF});
		dp[N] = {0, 0};
		LineContainer cont;
		// [J EXCLUS]
		// gright(left) = (projExclus - left)*(right) - (cumuFerme[projExclus] - cumuFerme[left])
		// gj(x) = (pj - x)*j - (cf[pj] - cf[left])
		// gj(x) = -jx + (j*pj - cf[pj]) + cf[x]
		//         mx  + p               + terme fixe
		auto proj = [&] (int j) {
			return min(j, ouvre[j-1]);
		};
		auto add = [&] (int j) {
			int pj = proj(j);
			// add -10 -9 -8.. pente croissante
			cont.add({-j, dp[j].first + j*pj - cumuFerme[pj], dp[j].second});
		};
		int jToAdd = N;
		for (int left = N-1; left >= 0; --left) {
			while (jToAdd > 0 && left <= min(proj(jToAdd), jToAdd-1)) {
				add(jToAdd--);
			}
			if (true) {
				// min(10) min(9) .. x décroissant
				pii prop = cont.min(left);
				chmin(dp[left], make_pair(
					prop.first + cumuFerme[left] + lambda,
					prop.second + 1
				));
			}
			if (jToAdd > 0) {
				chmin(dp[left], make_pair(
					dp[jToAdd].first + coutExclus(left, jToAdd) + lambda,
					dp[jToAdd].second + 1
				));
			}
		}
		return dp[0];
	};
	int lo = 0, hi = INF;
	while (lo < hi) {
		int mid = (lo+hi) / 2;
		if(calc(mid).second > K) {
			lo = mid+1;
		} else {
			hi = mid;
		}
	}
	assert(lo == hi);
	int lambda = lo;
	auto [score, groupsMade] = calc(lambda);
	assert(groupsMade <= K);
	cout << score - lambda*K << '\n';
}

Subtask #1
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 316 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 1 ms 324 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 0 ms 324 KB Output is correct

Subtask #2
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 316 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 1 ms 324 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 0 ms 324 KB Output is correct
17 Correct 1 ms 324 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 1 ms 340 KB Output is correct
21 Correct 1 ms 340 KB Output is correct
22 Correct 1 ms 316 KB Output is correct
23 Correct 1 ms 340 KB Output is correct
24 Correct 1 ms 340 KB Output is correct
25 Correct 1 ms 340 KB Output is correct
26 Correct 1 ms 324 KB Output is correct
27 Correct 1 ms 320 KB Output is correct
28 Correct 1 ms 340 KB Output is correct

Subtask #3
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 316 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 1 ms 324 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 0 ms 324 KB Output is correct
17 Correct 1 ms 324 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 1 ms 340 KB Output is correct
21 Correct 1 ms 340 KB Output is correct
22 Correct 1 ms 316 KB Output is correct
23 Correct 1 ms 340 KB Output is correct
24 Correct 1 ms 340 KB Output is correct
25 Correct 1 ms 340 KB Output is correct
26 Correct 1 ms 324 KB Output is correct
27 Correct 1 ms 320 KB Output is correct
28 Correct 1 ms 340 KB Output is correct
29 Correct 4 ms 848 KB Output is correct
30 Correct 6 ms 768 KB Output is correct
31 Correct 6 ms 760 KB Output is correct
32 Correct 4 ms 752 KB Output is correct
33 Correct 5 ms 752 KB Output is correct
34 Correct 6 ms 852 KB Output is correct
35 Correct 6 ms 920 KB Output is correct
36 Correct 6 ms 596 KB Output is correct
37 Correct 7 ms 748 KB Output is correct
38 Correct 4 ms 840 KB Output is correct
39 Correct 5 ms 752 KB Output is correct
40 Correct 4 ms 764 KB Output is correct
41 Correct 4 ms 740 KB Output is correct
42 Correct 4 ms 576 KB Output is correct

Subtask #4
26.0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 316 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 1 ms 324 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 0 ms 324 KB Output is correct
17 Correct 1 ms 324 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 1 ms 340 KB Output is correct
21 Correct 1 ms 340 KB Output is correct
22 Correct 1 ms 316 KB Output is correct
23 Correct 1 ms 340 KB Output is correct
24 Correct 1 ms 340 KB Output is correct
25 Correct 1 ms 340 KB Output is correct
26 Correct 1 ms 324 KB Output is correct
27 Correct 1 ms 320 KB Output is correct
28 Correct 1 ms 340 KB Output is correct
29 Correct 4 ms 848 KB Output is correct
30 Correct 6 ms 768 KB Output is correct
31 Correct 6 ms 760 KB Output is correct
32 Correct 4 ms 752 KB Output is correct
33 Correct 5 ms 752 KB Output is correct
34 Correct 6 ms 852 KB Output is correct
35 Correct 6 ms 920 KB Output is correct
36 Correct 6 ms 596 KB Output is correct
37 Correct 7 ms 748 KB Output is correct
38 Correct 4 ms 840 KB Output is correct
39 Correct 5 ms 752 KB Output is correct
40 Correct 4 ms 764 KB Output is correct
41 Correct 4 ms 740 KB Output is correct
42 Correct 4 ms 576 KB Output is correct
43 Correct 82 ms 5588 KB Output is correct
44 Correct 139 ms 9592 KB Output is correct
45 Correct 148 ms 9660 KB Output is correct
46 Correct 80 ms 7416 KB Output is correct
47 Correct 76 ms 7532 KB Output is correct
48 Correct 107 ms 10152 KB Output is correct
49 Correct 103 ms 10184 KB Output is correct
50 Correct 154 ms 7304 KB Output is correct
51 Correct 138 ms 7248 KB Output is correct
52 Correct 98 ms 10192 KB Output is correct
53 Correct 111 ms 10144 KB Output is correct
54 Correct 149 ms 7360 KB Output is correct

Subtask #5
0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 316 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 1 ms 324 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 0 ms 324 KB Output is correct
17 Correct 1 ms 324 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 1 ms 340 KB Output is correct
21 Correct 1 ms 340 KB Output is correct
22 Correct 1 ms 316 KB Output is correct
23 Correct 1 ms 340 KB Output is correct
24 Correct 1 ms 340 KB Output is correct
25 Correct 1 ms 340 KB Output is correct
26 Correct 1 ms 324 KB Output is correct
27 Correct 1 ms 320 KB Output is correct
28 Correct 1 ms 340 KB Output is correct
29 Correct 4 ms 848 KB Output is correct
30 Correct 6 ms 768 KB Output is correct
31 Correct 6 ms 760 KB Output is correct
32 Correct 4 ms 752 KB Output is correct
33 Correct 5 ms 752 KB Output is correct
34 Correct 6 ms 852 KB Output is correct
35 Correct 6 ms 920 KB Output is correct
36 Correct 6 ms 596 KB Output is correct
37 Correct 7 ms 748 KB Output is correct
38 Correct 4 ms 840 KB Output is correct
39 Correct 5 ms 752 KB Output is correct
40 Correct 4 ms 764 KB Output is correct
41 Correct 4 ms 740 KB Output is correct
42 Correct 4 ms 576 KB Output is correct
43 Correct 82 ms 5588 KB Output is correct
44 Correct 139 ms 9592 KB Output is correct
45 Correct 148 ms 9660 KB Output is correct
46 Correct 80 ms 7416 KB Output is correct
47 Correct 76 ms 7532 KB Output is correct
48 Correct 107 ms 10152 KB Output is correct
49 Correct 103 ms 10184 KB Output is correct
50 Correct 154 ms 7304 KB Output is correct
51 Correct 138 ms 7248 KB Output is correct
52 Correct 98 ms 10192 KB Output is correct
53 Correct 111 ms 10144 KB Output is correct
54 Correct 149 ms 7360 KB Output is correct
55 Correct 1020 ms 51832 KB Output is correct
56 Runtime error 785 ms 85760 KB Execution killed with signal 6
57 Halted 0 ms 0 KB -