Submission #332663

# Submission time Handle Problem Language Result Execution time Memory
332663 2020-12-03T02:31:20 Z 12tqian Naan (JOI19_naan) C++17
29 / 100
4000 ms 167788 KB
#include <bits/stdc++.h>

struct Frac {
    __int128_t n, d;
    Frac(__int128_t _n, __int128_t _d) {
        n = _n, d = _d;
        __int128_t g = std::__gcd(n, d); n /= g, d /= g;
        if (d < 0) n *= -1, d *= -1;
    }
    Frac(__int128_t _n) : Frac(_n, 1) {}
    Frac() : Frac(0) {}
    friend Frac abs(Frac F) { return Frac(abs(F.n), F.d); }
    friend bool operator < (const Frac& l, const Frac& r) { return l.n * r.d < r.n * l.d; }
    friend bool operator <= (const Frac& l, const Frac& r) { return l.n * r.d <= r.n * l.d; }
    friend bool operator > (const Frac& l, const Frac& r) { return l.n * r.d > r.n * l.d; }
    friend bool operator >= (const Frac& l, const Frac& r) { return l.n * r.d >= r.n * l.d; }
    friend bool operator == (const Frac& l, const Frac& r) { return l.n == r.n && l.d == r.d; }
    friend bool operator != (const Frac& l, const Frac& r) { return !(l == r); }
    Frac operator - () const { return Frac(-n, d); }
    friend Frac operator + (const Frac& l, const Frac& r) { return Frac(l.n * r.d + r.n * l.d, l.d * r.d); }
    friend Frac operator - (const Frac& l, const Frac& r) { return Frac(l.n * r.d - r.n * l.d, l.d * r.d); }
    friend Frac operator * (const Frac& l, const Frac& r) { return Frac(l.n * r.n, l.d * r.d); }
    friend Frac operator * (const Frac& l, int r) { return l * Frac(r, 1); }
    friend Frac operator * (int r, const Frac& l) { return l * r; }
    friend Frac operator / (const Frac& l, const Frac& r) { return l * Frac(r.d, r.n); }
    friend Frac operator / (const Frac& l, const int& r) { return l / Frac(r, 1); }
    friend Frac operator / (const int& l, const Frac& r) { return Frac(l, 1) / r; }
    friend Frac& operator += (Frac& l, const Frac& r) { return l = l + r; }
    friend Frac& operator -= (Frac& l, const Frac& r) { return l = l - r; }
    template <class T> friend Frac& operator *= (Frac& l, const T& r) { return l = l * r; }
    template <class T> friend Frac& operator /= (Frac& l, const T& r) { return l = l / r; }
};
int main() {
    using namespace std;
    typedef __int128_t ll;
    ios_base::sync_with_stdio(0);
    int N, L; 
    cin >> N >> L;
    vector<vector<ll>> V(N, vector<ll>(L));
    for (int i = 0; i < N; i++) 
        for (int j = 0; j < L; j++) {
            long long x; cin >> x;
            V[i][j] = x;
        }
    vector<vector<Frac>> split(N, vector<Frac>(N + 1));
    for (int i = 0; i < N; i++) {
        Frac need = 0;
        for (int j = 0; j < L; j++)
            need += V[i][j];
        need /= N;
        split[i][0] = 0;
        Frac have = 0;
        int it = 0;
        Frac at = 0;
        for (int j = 1; j <= N; j++) {
            while (have < need) {
                if (have + (1 - at) * V[i][it] <= need) {
                    have += (1 - at) * V[i][it];
                    at = 0;
                    it++;
                } else {
                    Frac go = (need - have) / V[i][it];
                    have += go * V[i][it];
                    at += go;
                }
            }
            split[i][j] = it + at;
            have = 0;
        }
    }
    const int INF = 1e9;
    vector<Frac> splits(N);
    vector<int> ord(N);
    vector<bool> used(N);
    for (int i = 1; i <= N - 1; i++) {
        pair<Frac, int> best = {INF, INF};
        for (int j = 0; j < N; j++) 
            if (!used[j])
                best = min(best, {split[j][i], j});
        splits[i - 1] = best.first;
        ord[i - 1] = best.second;
        used[best.second] = true;
    }
    for (int i = 0; i < N; i++) {
        if (!used[i])
            ord.back() = i;
    }
    for (int i = 1; i < N - 1; i++) 
        splits[i] = max(splits[i], splits[i - 1]);
    for (int i = 0; i < N - 1; i++) {
        assert(splits[i - 1] <= splits[i]);
    }
    for (int i = 0; i < N - 1; i++)
        cout << (long long) splits[i].n << " " << (long long) splits[i].d << '\n';
    for (int i = 0; i < N; i++)
        cout << ord[i] + 1 << " ";
    cout << '\n';
    return 0;
}
# Verdict Execution time Memory Grader output
1 Correct 0 ms 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 364 KB Output is correct
5 Correct 1 ms 364 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 1 ms 364 KB Output is correct
9 Correct 1 ms 364 KB Output is correct
10 Correct 1 ms 364 KB Output is correct
11 Correct 1 ms 364 KB Output is correct
12 Correct 1 ms 364 KB Output is correct
13 Correct 1 ms 364 KB Output is correct
14 Correct 1 ms 364 KB Output is correct
15 Correct 1 ms 364 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 2 ms 364 KB Output is correct
3 Correct 2 ms 492 KB Output is correct
4 Correct 2 ms 492 KB Output is correct
5 Correct 2 ms 492 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 1 ms 364 KB Output is correct
9 Correct 3 ms 492 KB Output is correct
10 Correct 4 ms 492 KB Output is correct
11 Correct 2 ms 492 KB Output is correct
12 Correct 1 ms 364 KB Output is correct
13 Correct 2 ms 492 KB Output is correct
14 Correct 3 ms 492 KB Output is correct
15 Correct 2 ms 548 KB Output is correct
16 Correct 3 ms 492 KB Output is correct
17 Correct 2 ms 492 KB Output is correct
18 Correct 3 ms 492 KB Output is correct
19 Correct 3 ms 492 KB Output is correct
20 Correct 3 ms 492 KB Output is correct
21 Correct 3 ms 580 KB Output is correct
22 Correct 3 ms 492 KB Output is correct
23 Correct 0 ms 364 KB Output is correct
24 Correct 2 ms 492 KB Output is correct
25 Correct 2 ms 492 KB Output is correct
26 Correct 1 ms 364 KB Output is correct
27 Correct 2 ms 492 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 364 KB Output is correct
5 Correct 1 ms 364 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 1 ms 364 KB Output is correct
9 Correct 1 ms 364 KB Output is correct
10 Correct 1 ms 364 KB Output is correct
11 Correct 1 ms 364 KB Output is correct
12 Correct 1 ms 364 KB Output is correct
13 Correct 1 ms 364 KB Output is correct
14 Correct 1 ms 364 KB Output is correct
15 Correct 1 ms 364 KB Output is correct
16 Correct 1 ms 364 KB Output is correct
17 Correct 2 ms 364 KB Output is correct
18 Correct 2 ms 492 KB Output is correct
19 Correct 2 ms 492 KB Output is correct
20 Correct 2 ms 492 KB Output is correct
21 Correct 1 ms 364 KB Output is correct
22 Correct 1 ms 364 KB Output is correct
23 Correct 1 ms 364 KB Output is correct
24 Correct 3 ms 492 KB Output is correct
25 Correct 4 ms 492 KB Output is correct
26 Correct 2 ms 492 KB Output is correct
27 Correct 1 ms 364 KB Output is correct
28 Correct 2 ms 492 KB Output is correct
29 Correct 3 ms 492 KB Output is correct
30 Correct 2 ms 548 KB Output is correct
31 Correct 3 ms 492 KB Output is correct
32 Correct 2 ms 492 KB Output is correct
33 Correct 3 ms 492 KB Output is correct
34 Correct 3 ms 492 KB Output is correct
35 Correct 3 ms 492 KB Output is correct
36 Correct 3 ms 580 KB Output is correct
37 Correct 3 ms 492 KB Output is correct
38 Correct 0 ms 364 KB Output is correct
39 Correct 2 ms 492 KB Output is correct
40 Correct 2 ms 492 KB Output is correct
41 Correct 1 ms 364 KB Output is correct
42 Correct 2 ms 492 KB Output is correct
43 Correct 390 ms 14444 KB Output is correct
44 Correct 2407 ms 85868 KB Output is correct
45 Correct 829 ms 42988 KB Output is correct
46 Correct 78 ms 5100 KB Output is correct
47 Correct 1471 ms 60992 KB Output is correct
48 Correct 3302 ms 125888 KB Output is correct
49 Correct 708 ms 33004 KB Output is correct
50 Execution timed out 4074 ms 167788 KB Time limit exceeded
51 Halted 0 ms 0 KB -