oj.uz

Submission #593676

# Submission time Handle Problem Language Result Execution time Memory
593676 2022-07-11T13:32:26 Z piOOE Let's Win the Election (JOI22_ho_t3) C++17
5 / 100
 2500 ms 761588 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);
    auto check = [&](int x) {
        if (x >= r) {
            return false;
        }
        return solve(x + 1) <= solve(x) + 1e-9;
    };
    int x = 0;
    for (int k = 20; k > -1; --k) {
        if (check(x + (1 << k))) {
            x = x + 1 + (1 << k);
        }
    }
    cout << fixed << setprecision(20) << solve(x);
    return 0;
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 0 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 2 ms 4436 KB Output is correct
6 Correct 2 ms 4684 KB Output is correct
7 Correct 3 ms 5204 KB Output is correct
8 Correct 3 ms 5716 KB Output is correct
9 Correct 3 ms 6100 KB Output is correct
10 Correct 3 ms 5588 KB Output is correct

Subtask #2
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 0 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 2 ms 4436 KB Output is correct
6 Correct 2 ms 4684 KB Output is correct
7 Correct 3 ms 5204 KB Output is correct
8 Correct 3 ms 5716 KB Output is correct
9 Correct 3 ms 6100 KB Output is correct
10 Correct 3 ms 5588 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 374 ms 296316 KB Output is correct
13 Incorrect 584 ms 257280 KB Output isn't correct
14 Halted 0 ms 0 KB -

Subtask #3
0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Incorrect 0 ms 468 KB Output isn't correct
4 Halted 0 ms 0 KB -

Subtask #4
0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Incorrect 0 ms 468 KB Output isn't correct
4 Halted 0 ms 0 KB -

Subtask #5
0 / 33.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Incorrect 0 ms 468 KB Output isn't correct
4 Halted 0 ms 0 KB -

Subtask #6
0 / 11.0

# Verdict Execution time Memory Grader output
1 Execution timed out 2592 ms 761588 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #7
0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 0 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 2 ms 4436 KB Output is correct
6 Correct 2 ms 4684 KB Output is correct
7 Correct 3 ms 5204 KB Output is correct
8 Correct 3 ms 5716 KB Output is correct
9 Correct 3 ms 6100 KB Output is correct
10 Correct 3 ms 5588 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 374 ms 296316 KB Output is correct
13 Incorrect 584 ms 257280 KB Output isn't correct
14 Halted 0 ms 0 KB -