oj.uz

Submission #593685

# Submission time Handle Problem Language Result Execution time Memory
593685 2022-07-11T13:42:07 Z piOOE Let's Win the Election (JOI22_ho_t3) C++17
61 / 100
 2500 ms 757620 KB 
#include <bits/stdc++.h>

using namespace std;

using ll = long long;
using db = double;

const int N = 501;

db dp[N][N][N]; //id, b, a

int main() {
    ios::sync_with_stdio(false);
    cin.tie(nullptr);
    int n, K;
    cin >> n >> K;
    vector<int> a(n), b(n), oa(n), ob(n);
    int cntb = 0;
    for (int i = 0; i < n; ++i) {
        cin >> a[i] >> b[i];
        if (b[i] != -1) {
            cntb += 1;
        }
    }
    iota(oa.begin(), oa.end(), 0), iota(ob.begin(), ob.end(), 0);
    sort(oa.begin(), oa.end(), [&a](int i, int j) {
        return a[i] < a[j];
    });
    sort(ob.begin(), ob.end(), [&](int i, int j) {
        if (b[i] == -1) return false;
        if (b[j] == -1) return true;
        return b[i] < b[j];
    });
    const db inf = 1e12;
    auto solve = [&](int mx) -> db {
        for (int i = 0; i <= n; ++i) {
            for (int j = 0; j <= mx; ++j) {
                for (int k = 0; k <= K - j; ++k) {
                    dp[i][j][k] = inf;
                }
            }
        }
        dp[0][0][0] = 0;
        for (int i = 1; i <= n; ++i) {
            //don't take
            for (int j = 0; j <= mx; ++j) {
                for (int k = 0; k <= min(i, K) - j; ++k) {
                    dp[i][j][k] = dp[i - 1][j][k];
                }
            }
            //take a
            int idx = ob[i - 1];
            for (int j = 0; j <= min(i, mx); ++j) {
                for (int k = 1; k <= min(i, K) - j; ++k) {
                    dp[i][j][k] = min(dp[i][j][k], dp[i - 1][j][k - 1] + a[idx] / db(mx + 1));
                }
            }
            if (b[idx] != -1) {
                for (int j = 1; j <= min(i, mx); ++j) {
                    for (int k = 0; k <= min(i, K) - j; ++k) {
                        dp[i][j][k] = min(dp[i][j][k], dp[i - 1][j - 1][k] + b[idx] / db(j));
                    }
                }
            }
        }
        return dp[n][mx][K - mx];
    };
    int r = min(K, cntb);
    int x = 0;
    for (int k = 20; k > -1; --k) {
        db ansL = (x >= (1 << k) ? solve(x - (1 << k)) : inf);
        db ans = solve(x);
        db ansR = (x + (1 << k) <= r ? solve(x + (1 << k)) : inf);
        if (ansL <= ans && ansL <= ansR) {
            x -= (1 << k);
        } else if (ansR <= ans) {
            x += (1 << k);
        }
    }
    cout << fixed << setprecision(20) << solve(x);
    return 0;
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 336 KB Output is correct
5 Correct 5 ms 4356 KB Output is correct
6 Correct 7 ms 4692 KB Output is correct
7 Correct 8 ms 5196 KB Output is correct
8 Correct 11 ms 5728 KB Output is correct
9 Correct 11 ms 6100 KB Output is correct
10 Correct 9 ms 5624 KB Output is correct

Subtask #2
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 336 KB Output is correct
5 Correct 5 ms 4356 KB Output is correct
6 Correct 7 ms 4692 KB Output is correct
7 Correct 8 ms 5196 KB Output is correct
8 Correct 11 ms 5728 KB Output is correct
9 Correct 11 ms 6100 KB Output is correct
10 Correct 9 ms 5624 KB Output is correct
11 Correct 0 ms 340 KB Output is correct
12 Correct 802 ms 298436 KB Output is correct
13 Correct 749 ms 255200 KB Output is correct
14 Correct 400 ms 192704 KB Output is correct
15 Execution timed out 2610 ms 686640 KB Time limit exceeded
16 Halted 0 ms 0 KB -

Subtask #3
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 468 KB Output is correct
5 Correct 1 ms 468 KB Output is correct
6 Correct 1 ms 468 KB Output is correct
7 Correct 1 ms 468 KB Output is correct
8 Correct 1 ms 468 KB Output is correct
9 Correct 1 ms 468 KB Output is correct
10 Correct 1 ms 468 KB Output is correct
11 Correct 1 ms 468 KB Output is correct
12 Correct 1 ms 468 KB Output is correct
13 Correct 1 ms 468 KB Output is correct
14 Correct 1 ms 468 KB Output is correct
15 Correct 1 ms 468 KB Output is correct

Subtask #4
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 468 KB Output is correct
5 Correct 1 ms 468 KB Output is correct
6 Correct 1 ms 468 KB Output is correct
7 Correct 1 ms 468 KB Output is correct
8 Correct 1 ms 468 KB Output is correct
9 Correct 1 ms 468 KB Output is correct
10 Correct 1 ms 468 KB Output is correct
11 Correct 1 ms 468 KB Output is correct
12 Correct 1 ms 468 KB Output is correct
13 Correct 1 ms 468 KB Output is correct
14 Correct 1 ms 468 KB Output is correct
15 Correct 1 ms 468 KB Output is correct
16 Correct 1 ms 596 KB Output is correct
17 Correct 1 ms 1108 KB Output is correct
18 Correct 1 ms 1108 KB Output is correct
19 Correct 1 ms 1364 KB Output is correct
20 Correct 1 ms 1364 KB Output is correct
21 Correct 1 ms 1364 KB Output is correct
22 Correct 1 ms 1364 KB Output is correct
23 Correct 1 ms 1364 KB Output is correct
24 Correct 1 ms 1364 KB Output is correct
25 Correct 1 ms 1748 KB Output is correct
26 Correct 1 ms 1748 KB Output is correct
27 Correct 1 ms 1108 KB Output is correct
28 Correct 1 ms 1356 KB Output is correct
29 Correct 1 ms 1364 KB Output is correct
30 Correct 1 ms 1620 KB Output is correct
31 Correct 1 ms 1364 KB Output is correct
32 Correct 2 ms 1620 KB Output is correct
33 Correct 1 ms 1364 KB Output is correct
34 Correct 1 ms 1364 KB Output is correct
35 Correct 1 ms 1364 KB Output is correct
36 Correct 1 ms 1364 KB Output is correct
37 Correct 1 ms 1620 KB Output is correct
38 Correct 1 ms 1356 KB Output is correct
39 Correct 1 ms 1620 KB Output is correct
40 Correct 1 ms 1364 KB Output is correct

Subtask #5
33.0 / 33.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 468 KB Output is correct
5 Correct 1 ms 468 KB Output is correct
6 Correct 1 ms 468 KB Output is correct
7 Correct 1 ms 468 KB Output is correct
8 Correct 1 ms 468 KB Output is correct
9 Correct 1 ms 468 KB Output is correct
10 Correct 1 ms 468 KB Output is correct
11 Correct 1 ms 468 KB Output is correct
12 Correct 1 ms 468 KB Output is correct
13 Correct 1 ms 468 KB Output is correct
14 Correct 1 ms 468 KB Output is correct
15 Correct 1 ms 468 KB Output is correct
16 Correct 1 ms 596 KB Output is correct
17 Correct 1 ms 1108 KB Output is correct
18 Correct 1 ms 1108 KB Output is correct
19 Correct 1 ms 1364 KB Output is correct
20 Correct 1 ms 1364 KB Output is correct
21 Correct 1 ms 1364 KB Output is correct
22 Correct 1 ms 1364 KB Output is correct
23 Correct 1 ms 1364 KB Output is correct
24 Correct 1 ms 1364 KB Output is correct
25 Correct 1 ms 1748 KB Output is correct
26 Correct 1 ms 1748 KB Output is correct
27 Correct 1 ms 1108 KB Output is correct
28 Correct 1 ms 1356 KB Output is correct
29 Correct 1 ms 1364 KB Output is correct
30 Correct 1 ms 1620 KB Output is correct
31 Correct 1 ms 1364 KB Output is correct
32 Correct 2 ms 1620 KB Output is correct
33 Correct 1 ms 1364 KB Output is correct
34 Correct 1 ms 1364 KB Output is correct
35 Correct 1 ms 1364 KB Output is correct
36 Correct 1 ms 1364 KB Output is correct
37 Correct 1 ms 1620 KB Output is correct
38 Correct 1 ms 1356 KB Output is correct
39 Correct 1 ms 1620 KB Output is correct
40 Correct 1 ms 1364 KB Output is correct
41 Correct 3 ms 5844 KB Output is correct
42 Correct 4 ms 6612 KB Output is correct
43 Correct 6 ms 10580 KB Output is correct
44 Correct 10 ms 12116 KB Output is correct
45 Correct 21 ms 20044 KB Output is correct
46 Correct 15 ms 20092 KB Output is correct
47 Correct 21 ms 26312 KB Output is correct
48 Correct 30 ms 26296 KB Output is correct
49 Correct 38 ms 32728 KB Output is correct
50 Correct 27 ms 26372 KB Output is correct
51 Correct 43 ms 39024 KB Output is correct
52 Correct 43 ms 32720 KB Output is correct
53 Correct 19 ms 26328 KB Output is correct
54 Correct 23 ms 26420 KB Output is correct
55 Correct 26 ms 26316 KB Output is correct
56 Correct 23 ms 26324 KB Output is correct
57 Correct 26 ms 26324 KB Output is correct
58 Correct 27 ms 26324 KB Output is correct
59 Correct 28 ms 26324 KB Output is correct
60 Correct 26 ms 26396 KB Output is correct

Subtask #6
0 / 11.0

# Verdict Execution time Memory Grader output
1 Execution timed out 2623 ms 757620 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #7
0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 336 KB Output is correct
5 Correct 5 ms 4356 KB Output is correct
6 Correct 7 ms 4692 KB Output is correct
7 Correct 8 ms 5196 KB Output is correct
8 Correct 11 ms 5728 KB Output is correct
9 Correct 11 ms 6100 KB Output is correct
10 Correct 9 ms 5624 KB Output is correct
11 Correct 0 ms 340 KB Output is correct
12 Correct 802 ms 298436 KB Output is correct
13 Correct 749 ms 255200 KB Output is correct
14 Correct 400 ms 192704 KB Output is correct
15 Execution timed out 2610 ms 686640 KB Time limit exceeded
16 Halted 0 ms 0 KB -