oj.uz

Submission #863893

# Submission time Handle Problem Language Result Execution time Memory
863893 2023-10-21T10:47:08 Z phoenix0423 Let's Win the Election (JOI22_ho_t3) C++17
100 / 100
 192 ms 2644 KB 
#include<bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef pair<double, double> pll;
#define fastio ios::sync_with_stdio(false), cin.tie(0)
#pragma GCC optimize("Ofast")
#define pb push_back
#define eb emplace_back
#define f first
#define s second
#define lowbit(x) x&-x
const int maxn = 2e5 + 5;
const double INF = 1e18;

//enumerate number of b from 0 ... k - 1
//it is optimal to get collaboraters first then give speeches to k - #b people
//for a set of collaboraters, it is optimal to sort them by increasing bs

double dp[505][505];

int main(void){
	fastio;
	int n, k;
	cin>>n>>k;
	vector<pll> a(n);
	for(int i = 0; i < n; i++){
		cin>>a[i].f>>a[i].s;
		if(a[i].s == -1) a[i].s = INF;
	}
	sort(a.begin(), a.end(), [&](pll a, pll b){ return a.s < b.s || (a.s == b.s && a.f < b.f);});
	auto f = [&](int goal) -> double {
		double best = INF;
		for(int i = 0; i <= n; i++) for(int j = 0; j <= goal; j++) dp[i][j] = INF;
		dp[0][0] = 0;
		for(int i = 0; i < n; i++){
			for(int j = 0; j < goal; j++){
				dp[i + 1][j] = min(dp[i + 1][j], dp[i][j] + a[i].f / (goal + 1));
				dp[i + 1][j + 1] = min(dp[i + 1][j + 1], dp[i][j] + a[i].s / (j + 1));
			}
		}
		for(int i = 0; i <= n; i++){
			//choose k - i elements for second set
			vector<double> cand;
			for(int j = i; j < n; j++) cand.pb(a[j].f);
			sort(cand.begin(), cand.end());
			double cur = dp[i][goal];
			for(int j = 0; j < k - i; j++) cur += cand[j] / (goal + 1);
			best = min(best, cur);
		}
		return best;
	};
	int l = 0, r = k;
	while(r - l >= 3){
		int m1 = l + (r - l) / 3, m2 = r - (r - l) / 3;
		double c1 = f(m1), c2 = f(m2);
		if(c1 > c2) l = m1;
		else r = m2;
	}
	double best = INF;
	for(int i = l; i <= r; i++) best = min(best, f(i));
	cout<<fixed<<setprecision(5)<<best<<"\n";
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 35 ms 2440 KB Output is correct
6 Correct 39 ms 2396 KB Output is correct
7 Correct 46 ms 2396 KB Output is correct
8 Correct 51 ms 2392 KB Output is correct
9 Correct 55 ms 2392 KB Output is correct
10 Correct 40 ms 2428 KB Output is correct

Subtask #2
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 35 ms 2440 KB Output is correct
6 Correct 39 ms 2396 KB Output is correct
7 Correct 46 ms 2396 KB Output is correct
8 Correct 51 ms 2392 KB Output is correct
9 Correct 55 ms 2392 KB Output is correct
10 Correct 40 ms 2428 KB Output is correct
11 Correct 0 ms 512 KB Output is correct
12 Correct 50 ms 2396 KB Output is correct
13 Correct 77 ms 2392 KB Output is correct
14 Correct 62 ms 2396 KB Output is correct
15 Correct 69 ms 2392 KB Output is correct
16 Correct 102 ms 2444 KB Output is correct
17 Correct 85 ms 2396 KB Output is correct
18 Correct 85 ms 2396 KB Output is correct
19 Correct 111 ms 2428 KB Output is correct
20 Correct 82 ms 2640 KB Output is correct

Subtask #3
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 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 344 KB Output is correct
12 Correct 0 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

Subtask #4
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 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 344 KB Output is correct
12 Correct 0 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 344 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 1 ms 348 KB Output is correct
21 Correct 0 ms 348 KB Output is correct
22 Correct 0 ms 348 KB Output is correct
23 Correct 0 ms 348 KB Output is correct
24 Correct 1 ms 348 KB Output is correct
25 Correct 0 ms 348 KB Output is correct
26 Correct 0 ms 348 KB Output is correct
27 Correct 1 ms 348 KB Output is correct
28 Correct 1 ms 348 KB Output is correct
29 Correct 1 ms 348 KB Output is correct
30 Correct 0 ms 348 KB Output is correct
31 Correct 0 ms 348 KB Output is correct
32 Correct 0 ms 348 KB Output is correct
33 Correct 0 ms 344 KB Output is correct
34 Correct 1 ms 348 KB Output is correct
35 Correct 1 ms 348 KB Output is correct
36 Correct 0 ms 348 KB Output is correct
37 Correct 1 ms 348 KB Output is correct
38 Correct 0 ms 348 KB Output is correct
39 Correct 1 ms 348 KB Output is correct
40 Correct 0 ms 348 KB Output is correct

Subtask #5
33.0 / 33.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 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 344 KB Output is correct
12 Correct 0 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 344 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 1 ms 348 KB Output is correct
21 Correct 0 ms 348 KB Output is correct
22 Correct 0 ms 348 KB Output is correct
23 Correct 0 ms 348 KB Output is correct
24 Correct 1 ms 348 KB Output is correct
25 Correct 0 ms 348 KB Output is correct
26 Correct 0 ms 348 KB Output is correct
27 Correct 1 ms 348 KB Output is correct
28 Correct 1 ms 348 KB Output is correct
29 Correct 1 ms 348 KB Output is correct
30 Correct 0 ms 348 KB Output is correct
31 Correct 0 ms 348 KB Output is correct
32 Correct 0 ms 348 KB Output is correct
33 Correct 0 ms 344 KB Output is correct
34 Correct 1 ms 348 KB Output is correct
35 Correct 1 ms 348 KB Output is correct
36 Correct 0 ms 348 KB Output is correct
37 Correct 1 ms 348 KB Output is correct
38 Correct 0 ms 348 KB Output is correct
39 Correct 1 ms 348 KB Output is correct
40 Correct 0 ms 348 KB Output is correct
41 Correct 3 ms 604 KB Output is correct
42 Correct 3 ms 604 KB Output is correct
43 Correct 3 ms 604 KB Output is correct
44 Correct 3 ms 604 KB Output is correct
45 Correct 4 ms 604 KB Output is correct
46 Correct 4 ms 604 KB Output is correct
47 Correct 4 ms 860 KB Output is correct
48 Correct 4 ms 604 KB Output is correct
49 Correct 4 ms 860 KB Output is correct
50 Correct 4 ms 604 KB Output is correct
51 Correct 5 ms 860 KB Output is correct
52 Correct 4 ms 860 KB Output is correct
53 Correct 4 ms 864 KB Output is correct
54 Correct 4 ms 860 KB Output is correct
55 Correct 4 ms 864 KB Output is correct
56 Correct 3 ms 604 KB Output is correct
57 Correct 4 ms 604 KB Output is correct
58 Correct 3 ms 604 KB Output is correct
59 Correct 3 ms 860 KB Output is correct
60 Correct 3 ms 860 KB Output is correct

Subtask #6
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 176 ms 2396 KB Output is correct
2 Correct 181 ms 2436 KB Output is correct
3 Correct 183 ms 2392 KB Output is correct
4 Correct 188 ms 2392 KB Output is correct
5 Correct 192 ms 2396 KB Output is correct
6 Correct 179 ms 2392 KB Output is correct
7 Correct 153 ms 2436 KB Output is correct

Subtask #7
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 35 ms 2440 KB Output is correct
6 Correct 39 ms 2396 KB Output is correct
7 Correct 46 ms 2396 KB Output is correct
8 Correct 51 ms 2392 KB Output is correct
9 Correct 55 ms 2392 KB Output is correct
10 Correct 40 ms 2428 KB Output is correct
11 Correct 0 ms 512 KB Output is correct
12 Correct 50 ms 2396 KB Output is correct
13 Correct 77 ms 2392 KB Output is correct
14 Correct 62 ms 2396 KB Output is correct
15 Correct 69 ms 2392 KB Output is correct
16 Correct 102 ms 2444 KB Output is correct
17 Correct 85 ms 2396 KB Output is correct
18 Correct 85 ms 2396 KB Output is correct
19 Correct 111 ms 2428 KB Output is correct
20 Correct 82 ms 2640 KB Output is correct
21 Correct 0 ms 348 KB Output is correct
22 Correct 0 ms 348 KB Output is correct
23 Correct 0 ms 348 KB Output is correct
24 Correct 0 ms 348 KB Output is correct
25 Correct 0 ms 348 KB Output is correct
26 Correct 0 ms 348 KB Output is correct
27 Correct 0 ms 348 KB Output is correct
28 Correct 0 ms 348 KB Output is correct
29 Correct 0 ms 348 KB Output is correct
30 Correct 0 ms 348 KB Output is correct
31 Correct 0 ms 344 KB Output is correct
32 Correct 0 ms 348 KB Output is correct
33 Correct 0 ms 348 KB Output is correct
34 Correct 0 ms 348 KB Output is correct
35 Correct 0 ms 348 KB Output is correct
36 Correct 0 ms 344 KB Output is correct
37 Correct 1 ms 348 KB Output is correct
38 Correct 0 ms 348 KB Output is correct
39 Correct 0 ms 348 KB Output is correct
40 Correct 1 ms 348 KB Output is correct
41 Correct 0 ms 348 KB Output is correct
42 Correct 0 ms 348 KB Output is correct
43 Correct 0 ms 348 KB Output is correct
44 Correct 1 ms 348 KB Output is correct
45 Correct 0 ms 348 KB Output is correct
46 Correct 0 ms 348 KB Output is correct
47 Correct 1 ms 348 KB Output is correct
48 Correct 1 ms 348 KB Output is correct
49 Correct 1 ms 348 KB Output is correct
50 Correct 0 ms 348 KB Output is correct
51 Correct 0 ms 348 KB Output is correct
52 Correct 0 ms 348 KB Output is correct
53 Correct 0 ms 344 KB Output is correct
54 Correct 1 ms 348 KB Output is correct
55 Correct 1 ms 348 KB Output is correct
56 Correct 0 ms 348 KB Output is correct
57 Correct 1 ms 348 KB Output is correct
58 Correct 0 ms 348 KB Output is correct
59 Correct 1 ms 348 KB Output is correct
60 Correct 0 ms 348 KB Output is correct
61 Correct 3 ms 604 KB Output is correct
62 Correct 3 ms 604 KB Output is correct
63 Correct 3 ms 604 KB Output is correct
64 Correct 3 ms 604 KB Output is correct
65 Correct 4 ms 604 KB Output is correct
66 Correct 4 ms 604 KB Output is correct
67 Correct 4 ms 860 KB Output is correct
68 Correct 4 ms 604 KB Output is correct
69 Correct 4 ms 860 KB Output is correct
70 Correct 4 ms 604 KB Output is correct
71 Correct 5 ms 860 KB Output is correct
72 Correct 4 ms 860 KB Output is correct
73 Correct 4 ms 864 KB Output is correct
74 Correct 4 ms 860 KB Output is correct
75 Correct 4 ms 864 KB Output is correct
76 Correct 3 ms 604 KB Output is correct
77 Correct 4 ms 604 KB Output is correct
78 Correct 3 ms 604 KB Output is correct
79 Correct 3 ms 860 KB Output is correct
80 Correct 3 ms 860 KB Output is correct
81 Correct 176 ms 2396 KB Output is correct
82 Correct 181 ms 2436 KB Output is correct
83 Correct 183 ms 2392 KB Output is correct
84 Correct 188 ms 2392 KB Output is correct
85 Correct 192 ms 2396 KB Output is correct
86 Correct 179 ms 2392 KB Output is correct
87 Correct 153 ms 2436 KB Output is correct
88 Correct 104 ms 2644 KB Output is correct
89 Correct 104 ms 2428 KB Output is correct
90 Correct 127 ms 2396 KB Output is correct
91 Correct 127 ms 2392 KB Output is correct
92 Correct 149 ms 2436 KB Output is correct
93 Correct 155 ms 2396 KB Output is correct
94 Correct 162 ms 2396 KB Output is correct
95 Correct 170 ms 2392 KB Output is correct
96 Correct 165 ms 2432 KB Output is correct
97 Correct 176 ms 2396 KB Output is correct
98 Correct 138 ms 2392 KB Output is correct
99 Correct 146 ms 2392 KB Output is correct
100 Correct 160 ms 2640 KB Output is correct
101 Correct 152 ms 2396 KB Output is correct
102 Correct 148 ms 2396 KB Output is correct
103 Correct 136 ms 2392 KB Output is correct
104 Correct 127 ms 2392 KB Output is correct
105 Correct 39 ms 2396 KB Output is correct