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Submission #1085010

# Submission time Handle Problem Language Result Execution time Memory
1085010 2024-09-07T10:00:29 Z GasmaskChan Let's Win the Election (JOI22_ho_t3) C++17
100 / 100
 240 ms 4436 KB 
#include <bits/stdc++.h>

using namespace std;
#define int long long

const int MAX = 5e2 + 5;

void minimize(double &a, const double &b) {
    a = min(a, b);
}

int sum[MAX][MAX];
double f[MAX][MAX];
pair<int, int> state[MAX];
int32_t main() {
    ios_base::sync_with_stdio(false);
    cin.tie(nullptr);
    // freopen("test.inp", "r", stdin); freopen("test.out", "w", stdout);
    int n, k;
    cin >> n >> k;
    int g = 0;
    for (int i = 1; i <= n; i++) {
        cin >> state[i].first >> state[i].second;
        if (state[i].second == -1) state[i].second = 1e9;
        else ++g;
    }

    sort(state + 1, state + n + 1, [](const pair<int, int> &a, const pair<int, int> &b) -> bool {
        if (a.second != b.second) return a.second < b.second;
        return a.first < b.first;
    });

    memset(sum, 0x3f, sizeof sum);

    for (int i = 1; i <= n; i++) {
        sum[i][0] = 0;
        for (int j = i; j <= n; j++) {
            for (int z = k; z > 0; z--) {
                sum[i][z] = min(sum[i][z], sum[i][z - 1] + state[j].first);
            }
        }
    }

    for (int j = 0; j <= k; j++) sum[n + 1][j] = 0;

    double ans = sum[1][k];

    g = min(g, k);
    for (int c = 0; c <= g; c++) {
        for (int i = 0; i <= k; i++) {
            for (int j = 0; j <= k; j++) {
                f[i][j] = 1e9;
            }
        }

        f[0][0] = 0.0;
        for (int i = 1; i <= k; i++) {
            for (int j = 0; j <= i; j++) {
                f[i][j] = f[i - 1][j] + 1.0 * state[i].first / (c + 1);
                if (j) minimize(f[i][j], f[i - 1][j - 1] + 1.0 * state[i].second / j);
                if (j == c) {
                    minimize(ans, f[i][j] + 1.0 * sum[i + 1][k - i] / (c + 1));
                }
            }
        }
    }

    cout << fixed << ans;
    return 0;
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
3 Correct 1 ms 2396 KB Output is correct
4 Correct 1 ms 2392 KB Output is correct
5 Correct 6 ms 2468 KB Output is correct
6 Correct 12 ms 2728 KB Output is correct
7 Correct 23 ms 3228 KB Output is correct
8 Correct 33 ms 3752 KB Output is correct
9 Correct 44 ms 4180 KB Output is correct
10 Correct 32 ms 3668 KB Output is correct

Subtask #2
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
3 Correct 1 ms 2396 KB Output is correct
4 Correct 1 ms 2392 KB Output is correct
5 Correct 6 ms 2468 KB Output is correct
6 Correct 12 ms 2728 KB Output is correct
7 Correct 23 ms 3228 KB Output is correct
8 Correct 33 ms 3752 KB Output is correct
9 Correct 44 ms 4180 KB Output is correct
10 Correct 32 ms 3668 KB Output is correct
11 Correct 1 ms 2392 KB Output is correct
12 Correct 21 ms 2904 KB Output is correct
13 Correct 25 ms 2908 KB Output is correct
14 Correct 17 ms 2904 KB Output is correct
15 Correct 84 ms 3668 KB Output is correct
16 Correct 86 ms 3664 KB Output is correct
17 Correct 45 ms 3672 KB Output is correct
18 Correct 203 ms 4252 KB Output is correct
19 Correct 147 ms 4180 KB Output is correct
20 Correct 79 ms 4256 KB Output is correct

Subtask #3
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB Output is correct
2 Correct 1 ms 2392 KB Output is correct
3 Correct 1 ms 2396 KB Output is correct
4 Correct 1 ms 2396 KB Output is correct
5 Correct 1 ms 2256 KB Output is correct
6 Correct 1 ms 2392 KB Output is correct
7 Correct 1 ms 2392 KB Output is correct
8 Correct 1 ms 2396 KB Output is correct
9 Correct 1 ms 2396 KB Output is correct
10 Correct 2 ms 2392 KB Output is correct
11 Correct 2 ms 2392 KB Output is correct
12 Correct 1 ms 2252 KB Output is correct
13 Correct 1 ms 2396 KB Output is correct
14 Correct 2 ms 2396 KB Output is correct
15 Correct 1 ms 2396 KB Output is correct

Subtask #4
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB Output is correct
2 Correct 1 ms 2392 KB Output is correct
3 Correct 1 ms 2396 KB Output is correct
4 Correct 1 ms 2396 KB Output is correct
5 Correct 1 ms 2256 KB Output is correct
6 Correct 1 ms 2392 KB Output is correct
7 Correct 1 ms 2392 KB Output is correct
8 Correct 1 ms 2396 KB Output is correct
9 Correct 1 ms 2396 KB Output is correct
10 Correct 2 ms 2392 KB Output is correct
11 Correct 2 ms 2392 KB Output is correct
12 Correct 1 ms 2252 KB Output is correct
13 Correct 1 ms 2396 KB Output is correct
14 Correct 2 ms 2396 KB Output is correct
15 Correct 1 ms 2396 KB Output is correct
16 Correct 1 ms 2392 KB Output is correct
17 Correct 2 ms 2396 KB Output is correct
18 Correct 1 ms 2396 KB Output is correct
19 Correct 1 ms 2512 KB Output is correct
20 Correct 1 ms 2396 KB Output is correct
21 Correct 2 ms 2516 KB Output is correct
22 Correct 2 ms 2396 KB Output is correct
23 Correct 1 ms 2396 KB Output is correct
24 Correct 1 ms 2516 KB Output is correct
25 Correct 2 ms 2396 KB Output is correct
26 Correct 1 ms 2396 KB Output is correct
27 Correct 2 ms 2396 KB Output is correct
28 Correct 2 ms 2396 KB Output is correct
29 Correct 1 ms 2500 KB Output is correct
30 Correct 1 ms 2512 KB Output is correct
31 Correct 2 ms 2396 KB Output is correct
32 Correct 1 ms 2484 KB Output is correct
33 Correct 1 ms 2392 KB Output is correct
34 Correct 1 ms 2512 KB Output is correct
35 Correct 2 ms 2396 KB Output is correct
36 Correct 1 ms 2396 KB Output is correct
37 Correct 2 ms 2396 KB Output is correct
38 Correct 2 ms 2392 KB Output is correct
39 Correct 2 ms 2396 KB Output is correct
40 Correct 1 ms 2396 KB Output is correct

Subtask #5
33.0 / 33.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB Output is correct
2 Correct 1 ms 2392 KB Output is correct
3 Correct 1 ms 2396 KB Output is correct
4 Correct 1 ms 2396 KB Output is correct
5 Correct 1 ms 2256 KB Output is correct
6 Correct 1 ms 2392 KB Output is correct
7 Correct 1 ms 2392 KB Output is correct
8 Correct 1 ms 2396 KB Output is correct
9 Correct 1 ms 2396 KB Output is correct
10 Correct 2 ms 2392 KB Output is correct
11 Correct 2 ms 2392 KB Output is correct
12 Correct 1 ms 2252 KB Output is correct
13 Correct 1 ms 2396 KB Output is correct
14 Correct 2 ms 2396 KB Output is correct
15 Correct 1 ms 2396 KB Output is correct
16 Correct 1 ms 2392 KB Output is correct
17 Correct 2 ms 2396 KB Output is correct
18 Correct 1 ms 2396 KB Output is correct
19 Correct 1 ms 2512 KB Output is correct
20 Correct 1 ms 2396 KB Output is correct
21 Correct 2 ms 2516 KB Output is correct
22 Correct 2 ms 2396 KB Output is correct
23 Correct 1 ms 2396 KB Output is correct
24 Correct 1 ms 2516 KB Output is correct
25 Correct 2 ms 2396 KB Output is correct
26 Correct 1 ms 2396 KB Output is correct
27 Correct 2 ms 2396 KB Output is correct
28 Correct 2 ms 2396 KB Output is correct
29 Correct 1 ms 2500 KB Output is correct
30 Correct 1 ms 2512 KB Output is correct
31 Correct 2 ms 2396 KB Output is correct
32 Correct 1 ms 2484 KB Output is correct
33 Correct 1 ms 2392 KB Output is correct
34 Correct 1 ms 2512 KB Output is correct
35 Correct 2 ms 2396 KB Output is correct
36 Correct 1 ms 2396 KB Output is correct
37 Correct 2 ms 2396 KB Output is correct
38 Correct 2 ms 2392 KB Output is correct
39 Correct 2 ms 2396 KB Output is correct
40 Correct 1 ms 2396 KB Output is correct
41 Correct 2 ms 2396 KB Output is correct
42 Correct 1 ms 2396 KB Output is correct
43 Correct 1 ms 2396 KB Output is correct
44 Correct 2 ms 2392 KB Output is correct
45 Correct 2 ms 2652 KB Output is correct
46 Correct 2 ms 2652 KB Output is correct
47 Correct 2 ms 2516 KB Output is correct
48 Correct 3 ms 2652 KB Output is correct
49 Correct 4 ms 2652 KB Output is correct
50 Correct 2 ms 2648 KB Output is correct
51 Correct 3 ms 2652 KB Output is correct
52 Correct 3 ms 2764 KB Output is correct
53 Correct 2 ms 2652 KB Output is correct
54 Correct 2 ms 2652 KB Output is correct
55 Correct 2 ms 2652 KB Output is correct
56 Correct 2 ms 2652 KB Output is correct
57 Correct 3 ms 2652 KB Output is correct
58 Correct 2 ms 2652 KB Output is correct
59 Correct 2 ms 2904 KB Output is correct
60 Correct 2 ms 2652 KB Output is correct

Subtask #6
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 191 ms 4256 KB Output is correct
2 Correct 231 ms 4252 KB Output is correct
3 Correct 200 ms 4240 KB Output is correct
4 Correct 185 ms 4436 KB Output is correct
5 Correct 240 ms 4180 KB Output is correct
6 Correct 222 ms 4432 KB Output is correct
7 Correct 240 ms 4412 KB Output is correct

Subtask #7
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
3 Correct 1 ms 2396 KB Output is correct
4 Correct 1 ms 2392 KB Output is correct
5 Correct 6 ms 2468 KB Output is correct
6 Correct 12 ms 2728 KB Output is correct
7 Correct 23 ms 3228 KB Output is correct
8 Correct 33 ms 3752 KB Output is correct
9 Correct 44 ms 4180 KB Output is correct
10 Correct 32 ms 3668 KB Output is correct
11 Correct 1 ms 2392 KB Output is correct
12 Correct 21 ms 2904 KB Output is correct
13 Correct 25 ms 2908 KB Output is correct
14 Correct 17 ms 2904 KB Output is correct
15 Correct 84 ms 3668 KB Output is correct
16 Correct 86 ms 3664 KB Output is correct
17 Correct 45 ms 3672 KB Output is correct
18 Correct 203 ms 4252 KB Output is correct
19 Correct 147 ms 4180 KB Output is correct
20 Correct 79 ms 4256 KB Output is correct
21 Correct 1 ms 2396 KB Output is correct
22 Correct 1 ms 2392 KB Output is correct
23 Correct 1 ms 2396 KB Output is correct
24 Correct 1 ms 2396 KB Output is correct
25 Correct 1 ms 2256 KB Output is correct
26 Correct 1 ms 2392 KB Output is correct
27 Correct 1 ms 2392 KB Output is correct
28 Correct 1 ms 2396 KB Output is correct
29 Correct 1 ms 2396 KB Output is correct
30 Correct 2 ms 2392 KB Output is correct
31 Correct 2 ms 2392 KB Output is correct
32 Correct 1 ms 2252 KB Output is correct
33 Correct 1 ms 2396 KB Output is correct
34 Correct 2 ms 2396 KB Output is correct
35 Correct 1 ms 2396 KB Output is correct
36 Correct 1 ms 2392 KB Output is correct
37 Correct 2 ms 2396 KB Output is correct
38 Correct 1 ms 2396 KB Output is correct
39 Correct 1 ms 2512 KB Output is correct
40 Correct 1 ms 2396 KB Output is correct
41 Correct 2 ms 2516 KB Output is correct
42 Correct 2 ms 2396 KB Output is correct
43 Correct 1 ms 2396 KB Output is correct
44 Correct 1 ms 2516 KB Output is correct
45 Correct 2 ms 2396 KB Output is correct
46 Correct 1 ms 2396 KB Output is correct
47 Correct 2 ms 2396 KB Output is correct
48 Correct 2 ms 2396 KB Output is correct
49 Correct 1 ms 2500 KB Output is correct
50 Correct 1 ms 2512 KB Output is correct
51 Correct 2 ms 2396 KB Output is correct
52 Correct 1 ms 2484 KB Output is correct
53 Correct 1 ms 2392 KB Output is correct
54 Correct 1 ms 2512 KB Output is correct
55 Correct 2 ms 2396 KB Output is correct
56 Correct 1 ms 2396 KB Output is correct
57 Correct 2 ms 2396 KB Output is correct
58 Correct 2 ms 2392 KB Output is correct
59 Correct 2 ms 2396 KB Output is correct
60 Correct 1 ms 2396 KB Output is correct
61 Correct 2 ms 2396 KB Output is correct
62 Correct 1 ms 2396 KB Output is correct
63 Correct 1 ms 2396 KB Output is correct
64 Correct 2 ms 2392 KB Output is correct
65 Correct 2 ms 2652 KB Output is correct
66 Correct 2 ms 2652 KB Output is correct
67 Correct 2 ms 2516 KB Output is correct
68 Correct 3 ms 2652 KB Output is correct
69 Correct 4 ms 2652 KB Output is correct
70 Correct 2 ms 2648 KB Output is correct
71 Correct 3 ms 2652 KB Output is correct
72 Correct 3 ms 2764 KB Output is correct
73 Correct 2 ms 2652 KB Output is correct
74 Correct 2 ms 2652 KB Output is correct
75 Correct 2 ms 2652 KB Output is correct
76 Correct 2 ms 2652 KB Output is correct
77 Correct 3 ms 2652 KB Output is correct
78 Correct 2 ms 2652 KB Output is correct
79 Correct 2 ms 2904 KB Output is correct
80 Correct 2 ms 2652 KB Output is correct
81 Correct 191 ms 4256 KB Output is correct
82 Correct 231 ms 4252 KB Output is correct
83 Correct 200 ms 4240 KB Output is correct
84 Correct 185 ms 4436 KB Output is correct
85 Correct 240 ms 4180 KB Output is correct
86 Correct 222 ms 4432 KB Output is correct
87 Correct 240 ms 4412 KB Output is correct
88 Correct 12 ms 2652 KB Output is correct
89 Correct 7 ms 2648 KB Output is correct
90 Correct 15 ms 2908 KB Output is correct
91 Correct 15 ms 2732 KB Output is correct
92 Correct 44 ms 3408 KB Output is correct
93 Correct 77 ms 3408 KB Output is correct
94 Correct 103 ms 3928 KB Output is correct
95 Correct 92 ms 3920 KB Output is correct
96 Correct 148 ms 4180 KB Output is correct
97 Correct 146 ms 4180 KB Output is correct
98 Correct 81 ms 3832 KB Output is correct
99 Correct 81 ms 3748 KB Output is correct
100 Correct 85 ms 3664 KB Output is correct
101 Correct 84 ms 3744 KB Output is correct
102 Correct 81 ms 3740 KB Output is correct
103 Correct 81 ms 3664 KB Output is correct
104 Correct 81 ms 3668 KB Output is correct
105 Correct 80 ms 3740 KB Output is correct