oj.uz

Submission #641173

# Submission time Handle Problem Language Result Execution time Memory
641173 2022-09-16T07:07:52 Z cthbst Let's Win the Election (JOI22_ho_t3) C++14
100 / 100
 990 ms 8412 KB 
#include <algorithm>
#include <iomanip>
#include <iostream>
#include <utility>
#include <vector>

using namespace std;

#define int long long
using pdd = pair<long double, long double>;

const long double INF = 1e18;
const int maxn = 505;

int n, k;
vector<pdd> vc;
long double dp[maxn][maxn];
long double sf[maxn][maxn];  // sf[i][j] 從 A[i~(n-1)] 選 j 個最小的數字

void build_sf() {
    for (int i = 1; i < maxn; i++) {
        fill(sf[i] + 1, sf[i] + maxn, INF);
    }

    for (int i = n - 1; i >= 0; i--) {
        vector<long double> cur;
        for (int j = i; j < n; j++) {
            cur.push_back(vc[j].first);
        }
        sort(cur.begin(), cur.end());
        sf[i][0] = 0;
        for (int j = 1; j <= k; j++) {
            if (j > (int)(cur.size()))
                break;
            else
                sf[i][j] = sf[i][j - 1] + cur[j - 1];
        }
    }
}

long double solve(const int t) {
    for (int i = 0; i < n; i++) {
        fill(dp[i], dp[i] + (t + 1), INF);
    }

    for (int i = 0; i < n; i++) {
        if (i == 0) {
            dp[i][0] = vc[i].first / (t + 1.0);
            dp[i][1] = vc[i].second;
            continue;
        }
        for (int j = 0; j <= t; j++) {
            if (j == 0) {
                dp[i][0] = dp[i - 1][0] + vc[i].first / (t + 1.0);
            } else {
                long double x = dp[i - 1][j] + vc[i].first / (t + 1.0);
                long double y = dp[i - 1][j - 1] + vc[i].second * 1.0 / j;
                dp[i][j] = min(x, y);
            }
        }
    }
    // if (k == n) return dp[n - 1][t];

    long double res = sf[0][k];
    for (int i = 0; i < n; i++) {
        if (k - (i+1) >= 0) {
            res = min(res, dp[i][t] + sf[i + 1][k - (i+1)] / (t + 1));
        }
    }
    return res;
}

signed main() {
    ios::sync_with_stdio(0), cin.tie(0), cout.tie(0);
    cout << fixed << setprecision(15);

    cin >> n >> k;
    for (int i = 0; i < n; i++) {
        int x, y;
        cin >> x >> y;
        if (y == -1) {
            vc.push_back({x, INF});
        } else {
            vc.push_back({x, y});
        }
    }
    sort(vc.begin(), vc.end(),
         [](pdd a, pdd b) { return a.second < b.second; });
    build_sf();

    long double res = sf[0][k];
    for (int t = 1; t <= k; t++) {
        res = min(res, solve(t));
    }
    cout << res << '\n';

    return 0;
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4308 KB Output is correct
2 Correct 3 ms 4308 KB Output is correct
3 Correct 3 ms 4308 KB Output is correct
4 Correct 3 ms 4308 KB Output is correct
5 Correct 24 ms 6612 KB Output is correct
6 Correct 71 ms 7288 KB Output is correct
7 Correct 230 ms 8240 KB Output is correct
8 Correct 526 ms 8292 KB Output is correct
9 Correct 893 ms 8292 KB Output is correct
10 Correct 443 ms 8284 KB Output is correct

Subtask #2
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4308 KB Output is correct
2 Correct 3 ms 4308 KB Output is correct
3 Correct 3 ms 4308 KB Output is correct
4 Correct 3 ms 4308 KB Output is correct
5 Correct 24 ms 6612 KB Output is correct
6 Correct 71 ms 7288 KB Output is correct
7 Correct 230 ms 8240 KB Output is correct
8 Correct 526 ms 8292 KB Output is correct
9 Correct 893 ms 8292 KB Output is correct
10 Correct 443 ms 8284 KB Output is correct
11 Correct 3 ms 4308 KB Output is correct
12 Correct 95 ms 7468 KB Output is correct
13 Correct 102 ms 7472 KB Output is correct
14 Correct 101 ms 7380 KB Output is correct
15 Correct 476 ms 8412 KB Output is correct
16 Correct 450 ms 8288 KB Output is correct
17 Correct 455 ms 8304 KB Output is correct
18 Correct 912 ms 8292 KB Output is correct
19 Correct 890 ms 8296 KB Output is correct
20 Correct 935 ms 8288 KB Output is correct

Subtask #3
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 4308 KB Output is correct
2 Correct 4 ms 4308 KB Output is correct
3 Correct 4 ms 4308 KB Output is correct
4 Correct 4 ms 4308 KB Output is correct
5 Correct 4 ms 4308 KB Output is correct
6 Correct 4 ms 4308 KB Output is correct
7 Correct 5 ms 4308 KB Output is correct
8 Correct 4 ms 4308 KB Output is correct
9 Correct 4 ms 4308 KB Output is correct
10 Correct 4 ms 4308 KB Output is correct
11 Correct 4 ms 4308 KB Output is correct
12 Correct 3 ms 4308 KB Output is correct
13 Correct 4 ms 4300 KB Output is correct
14 Correct 4 ms 4308 KB Output is correct
15 Correct 4 ms 4300 KB Output is correct

Subtask #4
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 4308 KB Output is correct
2 Correct 4 ms 4308 KB Output is correct
3 Correct 4 ms 4308 KB Output is correct
4 Correct 4 ms 4308 KB Output is correct
5 Correct 4 ms 4308 KB Output is correct
6 Correct 4 ms 4308 KB Output is correct
7 Correct 5 ms 4308 KB Output is correct
8 Correct 4 ms 4308 KB Output is correct
9 Correct 4 ms 4308 KB Output is correct
10 Correct 4 ms 4308 KB Output is correct
11 Correct 4 ms 4308 KB Output is correct
12 Correct 3 ms 4308 KB Output is correct
13 Correct 4 ms 4300 KB Output is correct
14 Correct 4 ms 4308 KB Output is correct
15 Correct 4 ms 4300 KB Output is correct
16 Correct 4 ms 4308 KB Output is correct
17 Correct 3 ms 4308 KB Output is correct
18 Correct 4 ms 4308 KB Output is correct
19 Correct 4 ms 4300 KB Output is correct
20 Correct 3 ms 4308 KB Output is correct
21 Correct 4 ms 4308 KB Output is correct
22 Correct 4 ms 4308 KB Output is correct
23 Correct 4 ms 4304 KB Output is correct
24 Correct 4 ms 4312 KB Output is correct
25 Correct 4 ms 4312 KB Output is correct
26 Correct 4 ms 4312 KB Output is correct
27 Correct 4 ms 4312 KB Output is correct
28 Correct 4 ms 4312 KB Output is correct
29 Correct 5 ms 4440 KB Output is correct
30 Correct 4 ms 4312 KB Output is correct
31 Correct 3 ms 4308 KB Output is correct
32 Correct 4 ms 4308 KB Output is correct
33 Correct 4 ms 4296 KB Output is correct
34 Correct 4 ms 4308 KB Output is correct
35 Correct 4 ms 4308 KB Output is correct
36 Correct 4 ms 4300 KB Output is correct
37 Correct 4 ms 4308 KB Output is correct
38 Correct 3 ms 4304 KB Output is correct
39 Correct 4 ms 4308 KB Output is correct
40 Correct 4 ms 4308 KB Output is correct

Subtask #5
33.0 / 33.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 4308 KB Output is correct
2 Correct 4 ms 4308 KB Output is correct
3 Correct 4 ms 4308 KB Output is correct
4 Correct 4 ms 4308 KB Output is correct
5 Correct 4 ms 4308 KB Output is correct
6 Correct 4 ms 4308 KB Output is correct
7 Correct 5 ms 4308 KB Output is correct
8 Correct 4 ms 4308 KB Output is correct
9 Correct 4 ms 4308 KB Output is correct
10 Correct 4 ms 4308 KB Output is correct
11 Correct 4 ms 4308 KB Output is correct
12 Correct 3 ms 4308 KB Output is correct
13 Correct 4 ms 4300 KB Output is correct
14 Correct 4 ms 4308 KB Output is correct
15 Correct 4 ms 4300 KB Output is correct
16 Correct 4 ms 4308 KB Output is correct
17 Correct 3 ms 4308 KB Output is correct
18 Correct 4 ms 4308 KB Output is correct
19 Correct 4 ms 4300 KB Output is correct
20 Correct 3 ms 4308 KB Output is correct
21 Correct 4 ms 4308 KB Output is correct
22 Correct 4 ms 4308 KB Output is correct
23 Correct 4 ms 4304 KB Output is correct
24 Correct 4 ms 4312 KB Output is correct
25 Correct 4 ms 4312 KB Output is correct
26 Correct 4 ms 4312 KB Output is correct
27 Correct 4 ms 4312 KB Output is correct
28 Correct 4 ms 4312 KB Output is correct
29 Correct 5 ms 4440 KB Output is correct
30 Correct 4 ms 4312 KB Output is correct
31 Correct 3 ms 4308 KB Output is correct
32 Correct 4 ms 4308 KB Output is correct
33 Correct 4 ms 4296 KB Output is correct
34 Correct 4 ms 4308 KB Output is correct
35 Correct 4 ms 4308 KB Output is correct
36 Correct 4 ms 4300 KB Output is correct
37 Correct 4 ms 4308 KB Output is correct
38 Correct 3 ms 4304 KB Output is correct
39 Correct 4 ms 4308 KB Output is correct
40 Correct 4 ms 4308 KB Output is correct
41 Correct 4 ms 4704 KB Output is correct
42 Correct 5 ms 4772 KB Output is correct
43 Correct 5 ms 4704 KB Output is correct
44 Correct 5 ms 4700 KB Output is correct
45 Correct 6 ms 4704 KB Output is correct
46 Correct 6 ms 4780 KB Output is correct
47 Correct 8 ms 4820 KB Output is correct
48 Correct 8 ms 4832 KB Output is correct
49 Correct 9 ms 4832 KB Output is correct
50 Correct 10 ms 4852 KB Output is correct
51 Correct 12 ms 4832 KB Output is correct
52 Correct 11 ms 4824 KB Output is correct
53 Correct 7 ms 4836 KB Output is correct
54 Correct 8 ms 4816 KB Output is correct
55 Correct 7 ms 4820 KB Output is correct
56 Correct 7 ms 4820 KB Output is correct
57 Correct 7 ms 4788 KB Output is correct
58 Correct 7 ms 4828 KB Output is correct
59 Correct 7 ms 4820 KB Output is correct
60 Correct 11 ms 4812 KB Output is correct

Subtask #6
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 990 ms 8332 KB Output is correct
2 Correct 953 ms 8288 KB Output is correct
3 Correct 892 ms 8268 KB Output is correct
4 Correct 896 ms 8356 KB Output is correct
5 Correct 898 ms 8292 KB Output is correct
6 Correct 878 ms 8288 KB Output is correct
7 Correct 882 ms 8260 KB Output is correct

Subtask #7
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4308 KB Output is correct
2 Correct 3 ms 4308 KB Output is correct
3 Correct 3 ms 4308 KB Output is correct
4 Correct 3 ms 4308 KB Output is correct
5 Correct 24 ms 6612 KB Output is correct
6 Correct 71 ms 7288 KB Output is correct
7 Correct 230 ms 8240 KB Output is correct
8 Correct 526 ms 8292 KB Output is correct
9 Correct 893 ms 8292 KB Output is correct
10 Correct 443 ms 8284 KB Output is correct
11 Correct 3 ms 4308 KB Output is correct
12 Correct 95 ms 7468 KB Output is correct
13 Correct 102 ms 7472 KB Output is correct
14 Correct 101 ms 7380 KB Output is correct
15 Correct 476 ms 8412 KB Output is correct
16 Correct 450 ms 8288 KB Output is correct
17 Correct 455 ms 8304 KB Output is correct
18 Correct 912 ms 8292 KB Output is correct
19 Correct 890 ms 8296 KB Output is correct
20 Correct 935 ms 8288 KB Output is correct
21 Correct 4 ms 4308 KB Output is correct
22 Correct 4 ms 4308 KB Output is correct
23 Correct 4 ms 4308 KB Output is correct
24 Correct 4 ms 4308 KB Output is correct
25 Correct 4 ms 4308 KB Output is correct
26 Correct 4 ms 4308 KB Output is correct
27 Correct 5 ms 4308 KB Output is correct
28 Correct 4 ms 4308 KB Output is correct
29 Correct 4 ms 4308 KB Output is correct
30 Correct 4 ms 4308 KB Output is correct
31 Correct 4 ms 4308 KB Output is correct
32 Correct 3 ms 4308 KB Output is correct
33 Correct 4 ms 4300 KB Output is correct
34 Correct 4 ms 4308 KB Output is correct
35 Correct 4 ms 4300 KB Output is correct
36 Correct 4 ms 4308 KB Output is correct
37 Correct 3 ms 4308 KB Output is correct
38 Correct 4 ms 4308 KB Output is correct
39 Correct 4 ms 4300 KB Output is correct
40 Correct 3 ms 4308 KB Output is correct
41 Correct 4 ms 4308 KB Output is correct
42 Correct 4 ms 4308 KB Output is correct
43 Correct 4 ms 4304 KB Output is correct
44 Correct 4 ms 4312 KB Output is correct
45 Correct 4 ms 4312 KB Output is correct
46 Correct 4 ms 4312 KB Output is correct
47 Correct 4 ms 4312 KB Output is correct
48 Correct 4 ms 4312 KB Output is correct
49 Correct 5 ms 4440 KB Output is correct
50 Correct 4 ms 4312 KB Output is correct
51 Correct 3 ms 4308 KB Output is correct
52 Correct 4 ms 4308 KB Output is correct
53 Correct 4 ms 4296 KB Output is correct
54 Correct 4 ms 4308 KB Output is correct
55 Correct 4 ms 4308 KB Output is correct
56 Correct 4 ms 4300 KB Output is correct
57 Correct 4 ms 4308 KB Output is correct
58 Correct 3 ms 4304 KB Output is correct
59 Correct 4 ms 4308 KB Output is correct
60 Correct 4 ms 4308 KB Output is correct
61 Correct 4 ms 4704 KB Output is correct
62 Correct 5 ms 4772 KB Output is correct
63 Correct 5 ms 4704 KB Output is correct
64 Correct 5 ms 4700 KB Output is correct
65 Correct 6 ms 4704 KB Output is correct
66 Correct 6 ms 4780 KB Output is correct
67 Correct 8 ms 4820 KB Output is correct
68 Correct 8 ms 4832 KB Output is correct
69 Correct 9 ms 4832 KB Output is correct
70 Correct 10 ms 4852 KB Output is correct
71 Correct 12 ms 4832 KB Output is correct
72 Correct 11 ms 4824 KB Output is correct
73 Correct 7 ms 4836 KB Output is correct
74 Correct 8 ms 4816 KB Output is correct
75 Correct 7 ms 4820 KB Output is correct
76 Correct 7 ms 4820 KB Output is correct
77 Correct 7 ms 4788 KB Output is correct
78 Correct 7 ms 4828 KB Output is correct
79 Correct 7 ms 4820 KB Output is correct
80 Correct 11 ms 4812 KB Output is correct
81 Correct 990 ms 8332 KB Output is correct
82 Correct 953 ms 8288 KB Output is correct
83 Correct 892 ms 8268 KB Output is correct
84 Correct 896 ms 8356 KB Output is correct
85 Correct 898 ms 8292 KB Output is correct
86 Correct 878 ms 8288 KB Output is correct
87 Correct 882 ms 8260 KB Output is correct
88 Correct 24 ms 6668 KB Output is correct
89 Correct 23 ms 6720 KB Output is correct
90 Correct 81 ms 7280 KB Output is correct
91 Correct 72 ms 7292 KB Output is correct
92 Correct 231 ms 8264 KB Output is correct
93 Correct 271 ms 8276 KB Output is correct
94 Correct 501 ms 8268 KB Output is correct
95 Correct 518 ms 8396 KB Output is correct
96 Correct 723 ms 8268 KB Output is correct
97 Correct 741 ms 8396 KB Output is correct
98 Correct 441 ms 8212 KB Output is correct
99 Correct 485 ms 8320 KB Output is correct
100 Correct 484 ms 8292 KB Output is correct
101 Correct 443 ms 8272 KB Output is correct
102 Correct 438 ms 8300 KB Output is correct
103 Correct 450 ms 8256 KB Output is correct
104 Correct 452 ms 8268 KB Output is correct
105 Correct 452 ms 8192 KB Output is correct