Submission #1151306

#TimeUsernameProblemLanguageResultExecution timeMemory
1151306abczzNaan (JOI19_naan)C++20
29 / 100
44 ms4680 KiB
#include <iostream>
#include <numeric>
#include <vector>
#define ll long long

using namespace std;

vector <ll> V;
ll n, l, A[2000][2000], S[2000];
bool B[2000];

struct Frac{
  ll a;
  ll b;
};
Frac tot[2000];
Frac simplify(Frac A) {
  ll x = gcd(A.a, A.b);
  return {A.a/x, A.b/x};
}
Frac operator+(Frac A, Frac B) {
  return simplify({A.a*B.b+A.b*B.a, A.b*B.b});
}
Frac operator-(Frac A, Frac B) {
  return simplify({A.a*B.b-A.b*B.a, A.b*B.b});
}
Frac operator*(Frac A, Frac B) {
  return simplify({A.a*B.a, A.b*B.b});
}
Frac operator/(Frac A, Frac B) {
  return simplify({A.a*B.b, A.b*B.a});
}
bool lt(Frac A, Frac B) {
  return A.a*B.b < A.b*B.a;
}
bool lte(Frac A, Frac B) {
  return A.a*B.b <= A.b*B.a;
}
void reset() {
  for (int i=0; i<n; ++i) {
    tot[i] = simplify({S[i], n});
  }
}
void print(Frac A) {
  cout << A.a << " " << A.b << '\n';
}
int main() {
  cin.tie(0);
  ios::sync_with_stdio(0);
  cin >> n >> l;
  for (int i=0; i<n; ++i) {
    for (int j=0; j<l; ++j) {
      cin >> A[i][j];
      S[i] += A[i][j];
    }
  }
  reset();
  for (int j=0; j<l; ++j) {
    Frac cur = {0, 1};
    while (true) {
      ll id = -1;
      Frac tmp = {1, 1};
      for (int i=0; i<n; ++i) {
        if (B[i]) continue;
        auto v = tot[i]/Frac({A[i][j], 1});
        if (lt(v, tmp) && lte(cur+v, Frac{1, 1})) {
          tmp = v;
          id = i;
        }
      }
      if (id == -1) {
        for (int i=0; i<n; ++i) {
          auto u = Frac({1, 1})-cur;
          u = u * Frac({A[i][j], 1});
          tot[i] = tot[i] - u;
        }
        break;
      }
      V.push_back(id+1);
      B[id] = 1;
      auto v = tot[id]/Frac({A[id][j], 1});
      cur = cur + v;
      print(Frac{j, 1} + cur);
      reset();
      if (V.size() == n-1) break;
    }
    if (V.size() == n-1) break;
  }
  for (auto u : V) {
    cout << u << " ";
  }
  for (int i=0; i<n; ++i) {
    if (!B[i]) cout << i+1 << " ";
  }
  cout << '\n';
}
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