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Submission #774136

# Submission time Handle Problem Language Result Execution time Memory
774136 2023-07-05T12:18:10 Z qwerasdfzxcl Card Scoring (CCO19_day2problem1) C++17
25 / 100
 629 ms 99124 KB 
#include <bits/stdc++.h>

using namespace std;
typedef long long ll;

int n, k;

struct Func{
	int p;
	double q;

	Func(){}
	Func(int _p, double _q): p(_p), q(_q) {}

	double operator()(int x) const{
		double tmp = x-p;
		if (k==3) return sqrt(tmp*tmp*tmp) + q;
		return tmp*tmp + q;
	}
};

int cross(const Func &f, const Func &g){
	int l = g.p + 1, r = n, ans = n+1;
	
	while(l<=r){
		int mid = (l+r)>>1;
		if (f(mid) >= g(mid)) ans = mid, r = mid-1;
		else l = mid+1;
	}

	return ans;
}

struct Hull{
	vector<Func> st;
	vector<double> C;

	void insert(Func g){
		// printf("insert %d %f\n", g.p, g.q);
		double tmp = 0;
		while(st.size() >= 2){
			tmp = cross(st.back(), g);
			if (C.back() > tmp) break;
			st.pop_back();
			C.pop_back();
		}

		if (st.size() >= 2) C.push_back(tmp);
		else if (st.size() == 1) C.push_back(cross(st.back(), g));
		st.push_back(g);
	}

	double query(int x){
		int l = 0, r = (int)st.size()-2, ans = (int)st.size()-1;
		while(l<=r){
			int mid = (l+r)>>1;
			if (x >= C[mid]) ans = mid, r = mid-1;
			else l = mid+1;
		}

		// for (int i=0;i<(int)st.size();i++) printf("%f ", st[i](x));
		// printf("\n");
		// printf("return: %f \n", st[ans](x));

		return st[ans](x);
	}
}H[1001000];

int a[1001000], idx[1001000], cnt[1001000];
double dp[1001000];

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

	cin >> k >> n;
	for (int i=1;i<=n;i++){
		cin >> a[i];
		cnt[a[i]]++;
		idx[i] = cnt[a[i]];
	}
	if (k==2){
		printf("%.15f\n", (double)n);
		return 0;
	}

	for (int i=1;i<=n;i++){
		// printf(" ok %d %f\n", idx[i]-1, dp[i-1]);
		H[a[i]].insert(Func(idx[i]-1, dp[i-1]));
		dp[i] = H[a[i]].query(idx[i]);
		// printf("%d -> %.15f\n", i, dp[i]);
	}

	printf("%.15f\n", dp[n]);
}

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 23 ms 47316 KB Output is correct
2 Correct 22 ms 47292 KB Output is correct
3 Correct 22 ms 47360 KB Output is correct
4 Correct 22 ms 47340 KB Output is correct
5 Correct 22 ms 47360 KB Output is correct
6 Correct 22 ms 47332 KB Output is correct
7 Correct 22 ms 47332 KB Output is correct
8 Correct 25 ms 47308 KB Output is correct

Subtask #2
1.0 / 1.0

# Verdict Execution time Memory Grader output
1 Correct 23 ms 47316 KB Output is correct
2 Correct 22 ms 47292 KB Output is correct
3 Correct 22 ms 47368 KB Output is correct

Subtask #3
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 23 ms 47316 KB Output is correct
2 Correct 22 ms 47292 KB Output is correct
3 Correct 22 ms 47368 KB Output is correct
4 Correct 23 ms 47316 KB Output is correct
5 Correct 22 ms 47292 KB Output is correct
6 Correct 22 ms 47368 KB Output is correct
7 Correct 23 ms 47372 KB Output is correct
8 Correct 22 ms 47380 KB Output is correct
9 Correct 23 ms 47340 KB Output is correct

Subtask #4
3.0 / 3.0

# Verdict Execution time Memory Grader output
1 Correct 23 ms 47316 KB Output is correct
2 Correct 22 ms 47292 KB Output is correct
3 Correct 22 ms 47368 KB Output is correct
4 Correct 23 ms 47316 KB Output is correct
5 Correct 22 ms 47292 KB Output is correct
6 Correct 22 ms 47368 KB Output is correct
7 Correct 23 ms 47372 KB Output is correct
8 Correct 22 ms 47380 KB Output is correct
9 Correct 23 ms 47340 KB Output is correct
10 Correct 24 ms 47316 KB Output is correct
11 Correct 24 ms 47460 KB Output is correct
12 Correct 23 ms 47412 KB Output is correct
13 Correct 24 ms 47520 KB Output is correct

Subtask #5
3.0 / 3.0

# Verdict Execution time Memory Grader output
1 Correct 244 ms 62912 KB Output is correct
2 Correct 270 ms 62924 KB Output is correct
3 Correct 116 ms 55096 KB Output is correct
4 Correct 169 ms 55464 KB Output is correct
5 Correct 169 ms 82516 KB Output is correct
6 Correct 219 ms 80716 KB Output is correct
7 Correct 217 ms 80732 KB Output is correct
8 Correct 222 ms 80720 KB Output is correct
9 Correct 237 ms 80736 KB Output is correct
10 Correct 222 ms 80716 KB Output is correct
11 Correct 199 ms 62936 KB Output is correct
12 Correct 188 ms 63052 KB Output is correct
13 Correct 189 ms 62968 KB Output is correct
14 Correct 309 ms 63312 KB Output is correct
15 Correct 308 ms 63252 KB Output is correct
16 Correct 306 ms 63332 KB Output is correct

Subtask #6
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 23 ms 47316 KB Output is correct
2 Correct 22 ms 47292 KB Output is correct
3 Correct 22 ms 47360 KB Output is correct
4 Correct 22 ms 47340 KB Output is correct
5 Correct 22 ms 47360 KB Output is correct
6 Correct 22 ms 47332 KB Output is correct
7 Correct 22 ms 47332 KB Output is correct
8 Correct 25 ms 47308 KB Output is correct
9 Correct 23 ms 47316 KB Output is correct
10 Correct 22 ms 47292 KB Output is correct
11 Correct 22 ms 47368 KB Output is correct
12 Correct 23 ms 47316 KB Output is correct
13 Correct 22 ms 47292 KB Output is correct
14 Correct 22 ms 47368 KB Output is correct
15 Correct 23 ms 47372 KB Output is correct
16 Correct 22 ms 47380 KB Output is correct
17 Correct 23 ms 47340 KB Output is correct
18 Correct 24 ms 47316 KB Output is correct
19 Correct 24 ms 47460 KB Output is correct
20 Correct 23 ms 47412 KB Output is correct
21 Correct 24 ms 47520 KB Output is correct
22 Correct 244 ms 62912 KB Output is correct
23 Correct 270 ms 62924 KB Output is correct
24 Correct 116 ms 55096 KB Output is correct
25 Correct 169 ms 55464 KB Output is correct
26 Correct 169 ms 82516 KB Output is correct
27 Correct 219 ms 80716 KB Output is correct
28 Correct 217 ms 80732 KB Output is correct
29 Correct 222 ms 80720 KB Output is correct
30 Correct 237 ms 80736 KB Output is correct
31 Correct 222 ms 80716 KB Output is correct
32 Correct 199 ms 62936 KB Output is correct
33 Correct 188 ms 63052 KB Output is correct
34 Correct 189 ms 62968 KB Output is correct
35 Correct 309 ms 63312 KB Output is correct
36 Correct 308 ms 63252 KB Output is correct
37 Correct 306 ms 63332 KB Output is correct
38 Correct 419 ms 99124 KB Output is correct
39 Correct 514 ms 62928 KB Output is correct
40 Correct 580 ms 63096 KB Output is correct
41 Correct 209 ms 55060 KB Output is correct
42 Correct 341 ms 55604 KB Output is correct
43 Correct 233 ms 82592 KB Output is correct
44 Correct 423 ms 80692 KB Output is correct
45 Correct 339 ms 63012 KB Output is correct
46 Correct 314 ms 62964 KB Output is correct
47 Correct 309 ms 62988 KB Output is correct
48 Correct 579 ms 63016 KB Output is correct
49 Correct 629 ms 62964 KB Output is correct
50 Correct 609 ms 63036 KB Output is correct