Submission #684678

# Submission time Handle Problem Language Result Execution time Memory
684678 2023-01-22T10:17:11 Z peijar Naan (JOI19_naan) C++17
100 / 100
3437 ms 118012 KB
#include <bits/stdc++.h>
#define int long long
using namespace std;

string to_string(string s) { return s; }
template <typename T> string to_string(T v) {
  bool first = true;
  string res = "[";
  for (const auto &x : v) {
    if (!first)
      res += ", ";
    first = false;
    res += to_string(x);
  }
  res += "]";
  return res;
}

void dbg_out() { cout << endl; }
template <typename Head, typename... Tail> void dbg_out(Head H, Tail... T) {
  cout << ' ' << to_string(H);
  dbg_out(T...);
}

#ifdef DEBUG
#define dbg(...) cout << "(" << #__VA_ARGS__ << "):", dbg_out(__VA_ARGS__)
#else
#define dbg(...)
#endif

struct Rational {
  int p, q;

  Rational() : p(0), q(1) {}
  Rational(int _p, int _q) : p(_p), q(_q) {
    int d = gcd(p, q);
    p /= d, q /= d;
  }

  Rational(int x) : p(x), q(1) {}

  Rational operator+(Rational other) const {
    return Rational(p * other.q + other.p * q, other.q * q);
  }

  Rational operator-(Rational other) const {
    return Rational(p * other.q - q * other.p, other.q * q);
  }

  Rational operator*(Rational other) const {
    return Rational(p * other.p, q * other.q);
  }

  Rational operator/(Rational other) const {
    return Rational(p * other.q, q * other.p);
  }

  bool operator<(Rational other) const {
    return (__int128)p * other.q < (__int128)q * other.p;
  }

  bool operator<=(Rational other) const { return !(other < *this); }
};

signed main(void) {
  ios_base::sync_with_stdio(false);
  cin.tie(0);

  int nbPersonnes, tailleGateau;
  cin >> nbPersonnes >> tailleGateau;

  vector<vector<int>> gain(nbPersonnes, vector<int>(tailleGateau));
  for (int i = 0; i < nbPersonnes; ++i)
    for (int j = 0; j < tailleGateau; ++j)
      cin >> gain[i][j];
  vector<Rational> need(nbPersonnes);
  for (int i = 0; i < nbPersonnes; ++i) {
    for (int j = 0; j < tailleGateau; ++j)
      need[i] = need[i] + gain[i][j];
    need[i] = need[i] / nbPersonnes;
  }
  vector<vector<Rational>> cuts(nbPersonnes);
  for (int i = 0; i < nbPersonnes; ++i) {
    Rational rat;
    for (int j = 0; j < tailleGateau; ++j) {
      Rational taken(0);
      while (need[i] <= Rational(gain[i][j]) * (Rational(1) - taken) + rat) {
        Rational x = (need[i] - rat + taken * gain[i][j]) / gain[i][j];
        cuts[i].push_back(Rational(j) + x);
        taken = x;
        rat = 0;
      }
      rat = rat + (Rational(1) - taken) * gain[i][j];
    }
    assert((int)cuts[i].size() == nbPersonnes);
  }

  vector<int> perm;
  vector<bool> used(nbPersonnes);
  for (int i = 0; i < nbPersonnes; ++i) {
    int first = -1;
    for (int j = 0; j < nbPersonnes; ++j)
      if (!used[j] and (first == -1 or cuts[j][i] < cuts[first][i]))
        first = j;
    perm.push_back(first);
    used[first] = true;
  }
  for (int i = 0; i < nbPersonnes - 1; ++i) {
    auto [p, q] = cuts[perm[i]][i];
    cout << p << ' ' << q << '\n';
  }
  for (int x : perm)
    cout << x + 1 << ' ';
  cout << endl;
}
# Verdict Execution time Memory Grader output
1 Correct 0 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 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 0 ms 224 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
# 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 2 ms 340 KB Output is correct
4 Correct 2 ms 340 KB Output is correct
5 Correct 2 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 2 ms 340 KB Output is correct
10 Correct 2 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 0 ms 292 KB Output is correct
13 Correct 1 ms 368 KB Output is correct
14 Correct 2 ms 340 KB Output is correct
15 Correct 2 ms 400 KB Output is correct
16 Correct 2 ms 340 KB Output is correct
17 Correct 3 ms 340 KB Output is correct
18 Correct 2 ms 340 KB Output is correct
19 Correct 2 ms 428 KB Output is correct
20 Correct 2 ms 340 KB Output is correct
21 Correct 3 ms 340 KB Output is correct
22 Correct 2 ms 340 KB Output is correct
23 Correct 0 ms 212 KB Output is correct
24 Correct 2 ms 340 KB Output is correct
25 Correct 1 ms 340 KB Output is correct
26 Correct 1 ms 340 KB Output is correct
27 Correct 2 ms 408 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 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 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 0 ms 224 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 2 ms 340 KB Output is correct
19 Correct 2 ms 340 KB Output is correct
20 Correct 2 ms 340 KB Output is correct
21 Correct 1 ms 340 KB Output is correct
22 Correct 1 ms 340 KB Output is correct
23 Correct 1 ms 340 KB Output is correct
24 Correct 2 ms 340 KB Output is correct
25 Correct 2 ms 340 KB Output is correct
26 Correct 1 ms 340 KB Output is correct
27 Correct 0 ms 292 KB Output is correct
28 Correct 1 ms 368 KB Output is correct
29 Correct 2 ms 340 KB Output is correct
30 Correct 2 ms 400 KB Output is correct
31 Correct 2 ms 340 KB Output is correct
32 Correct 3 ms 340 KB Output is correct
33 Correct 2 ms 340 KB Output is correct
34 Correct 2 ms 428 KB Output is correct
35 Correct 2 ms 340 KB Output is correct
36 Correct 3 ms 340 KB Output is correct
37 Correct 2 ms 340 KB Output is correct
38 Correct 0 ms 212 KB Output is correct
39 Correct 2 ms 340 KB Output is correct
40 Correct 1 ms 340 KB Output is correct
41 Correct 1 ms 340 KB Output is correct
42 Correct 2 ms 408 KB Output is correct
43 Correct 264 ms 9560 KB Output is correct
44 Correct 1621 ms 48872 KB Output is correct
45 Correct 599 ms 28108 KB Output is correct
46 Correct 52 ms 3160 KB Output is correct
47 Correct 1012 ms 35364 KB Output is correct
48 Correct 2245 ms 69244 KB Output is correct
49 Correct 475 ms 19236 KB Output is correct
50 Correct 2781 ms 89208 KB Output is correct
51 Correct 1014 ms 38876 KB Output is correct
52 Correct 2353 ms 85952 KB Output is correct
53 Correct 2110 ms 74212 KB Output is correct
54 Correct 2 ms 340 KB Output is correct
55 Correct 1002 ms 38592 KB Output is correct
56 Correct 1361 ms 53380 KB Output is correct
57 Correct 1095 ms 44636 KB Output is correct
58 Correct 1901 ms 72056 KB Output is correct
59 Correct 1165 ms 45016 KB Output is correct
60 Correct 2659 ms 117772 KB Output is correct
61 Correct 2813 ms 117864 KB Output is correct
62 Correct 3437 ms 117508 KB Output is correct
63 Correct 3269 ms 118012 KB Output is correct
64 Correct 2714 ms 117940 KB Output is correct
65 Correct 3211 ms 104628 KB Output is correct
66 Correct 3043 ms 104688 KB Output is correct
67 Correct 2678 ms 104620 KB Output is correct
68 Correct 1271 ms 54532 KB Output is correct
69 Correct 1203 ms 54040 KB Output is correct
70 Correct 1589 ms 65824 KB Output is correct
71 Correct 1976 ms 81396 KB Output is correct