oj.uz

답안 #709083

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
709083 2023-03-13T06:01:05 Z null_awe Graph (BOI20_graph) C++14
0 / 100
 1 ms 296 KB 
#include <iostream>
#include <vector>
#include <queue>
#include <climits>
#include <algorithm>
using namespace std;

#define ll long long
#define pii pair<int, int>

const double EPS = 0.000001;

struct line {

  int m, b;

  line() {}

  line(int m, int b) : m(m), b(b) {}

  double combine(line other) {
    int mm = m - other.m, bb = other.b - b;
    if (mm == 0 && bb) {
      cout << "NO\n";
      exit(0);
    }
    if (mm == 0) return INT_MAX;
    return (double) bb / mm;
  }
};

int n, m;
vector<vector<pii>> adj;
vector<line> lines;
vector<bool> vis;
vector<double> all;

void solve(int fv) {
  if (vis[fv]) return;
  lines[fv] = line(1, 0);
  queue<int> q;
  vector<int> has;
  vis[fv] = true, q.push(fv), has.push_back(fv);
  double ans = INT_MAX;
  while (q.size()) {
    int v = q.front(); q.pop();
    for (pii p : adj[v]) {
      int u = p.first, c = p.second;
      line change(-lines[v].m, c - lines[v].b);
      if (!vis[u]) {
        vis[u] = true, q.push(u), has.push_back(u);
        lines[u] = change;
      } else {
        double comb = lines[u].combine(change);
        if (ans > INT_MAX - 1) ans = comb;
      }
    }
  }
  if (ans > INT_MAX - 1) {
    // make this part faster please:
    vector<pii> values;
    vector<int> orig;
    int ind = 0;
    for (int v : has) {
      line l = lines[v];
      values.push_back({-l.b / l.m, ind++});
      orig.push_back(-l.b / l.m);
    }
    vector<pii> negs(values.size());
    for (int i = 0; i < values.size(); ++i) negs[i] = {-values[i].first, i};
    sort(values.begin(), values.end());
    sort(negs.begin(), negs.end());

    vector<ll> arr(values.size());
    vector<int> pos, neg;
    for (int v : has) {
      line l = lines[v];
      if (l.m > 0) pos.push_back(-l.b);
      else neg.push_back(-l.b);
    }
    vector<ll> pp(pos.size() + 1), pn(neg.size() + 1);
    for (int i = 0; i < pos.size(); ++i) pp[i + 1] = pp[i] - pos[i];
    for (int i = 0; i < neg.size(); ++i) pn[i + 1] = pn[i] - neg[i];
    int pi = 0, ni = 0;
    for (pii p : values) {
      int num = p.first;
      while (pi < pos.size() && pos[pi] < num) ++pi;
      arr[p.second] = pp[pi] + (ll) num * pi - (pp[pos.size()] - pp[pi]) - (ll) num * (pos.size() - pi);
    }
    for (pii p : negs) {
      int num = p.first;
      while (ni < neg.size() && neg[pi] < num) ++ni;
      arr[p.second] += pn[ni] + (ll) num * ni - (pn[neg.size()] - pn[ni]) - (ll) num * (neg.size() - ni);
    }
    ll mn = LLONG_MAX;
    for (int i = 0; i < values.size(); ++i) {
      if (arr[i] < mn) mn = arr[i], ans = orig[i];
    }
  }
  for (int v : has) vis[v] = false;
  all[fv] = ans;
  q = queue<int>();
  vis[fv] = true, q.push(fv);
  while (q.size()) {
    int v = q.front(); q.pop();
    for (pii p : adj[v]) {
      int u = p.first, c = p.second;
      if (vis[u]) continue;
      vis[u] = true, q.push(u);
      all[u] = c - all[v];
    }
  }
}

int main() {
  cin >> n >> m;
  adj.resize(n);
  for (int i = 0; i < m; ++i) {
    int a, b, c; cin >> a >> b >> c; --a, --b;
    adj[a].push_back({b, c}), adj[b].push_back({a, c});
  }
  lines = vector<line>(n);
  vis = vector<bool>(n);
  all.resize(n);
  for (int i = 0; i < n; ++i) solve(i);
  cout << "YES\n";
  for (double val : all) cout << val << ' ';
  cout << '\n';
  return 0;
}

Compilation message

Graph.cpp: In function 'void solve(int)':
Graph.cpp:70:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   70 |     for (int i = 0; i < values.size(); ++i) negs[i] = {-values[i].first, i};
      |                     ~~^~~~~~~~~~~~~~~
Graph.cpp:82:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   82 |     for (int i = 0; i < pos.size(); ++i) pp[i + 1] = pp[i] - pos[i];
      |                     ~~^~~~~~~~~~~~
Graph.cpp:83:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   83 |     for (int i = 0; i < neg.size(); ++i) pn[i + 1] = pn[i] - neg[i];
      |                     ~~^~~~~~~~~~~~
Graph.cpp:87:17: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   87 |       while (pi < pos.size() && pos[pi] < num) ++pi;
      |              ~~~^~~~~~~~~~~~
Graph.cpp:92:17: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   92 |       while (ni < neg.size() && neg[pi] < num) ++ni;
      |              ~~~^~~~~~~~~~~~
Graph.cpp:96:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   96 |     for (int i = 0; i < values.size(); ++i) {
      |                     ~~^~~~~~~~~~~~~~~

Subtask #1
0 / 5.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 212 KB answer = YES
2 Correct 1 ms 212 KB answer = YES
3 Correct 1 ms 212 KB answer = YES
4 Correct 1 ms 296 KB answer = NO
5 Correct 1 ms 212 KB answer = YES
6 Incorrect 1 ms 212 KB participant answer is larger than the answer of jury
7 Halted 0 ms 0 KB -

Subtask #2
0 / 12.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 212 KB answer = YES
2 Correct 1 ms 212 KB answer = YES
3 Correct 1 ms 212 KB answer = YES
4 Correct 1 ms 296 KB answer = NO
5 Correct 1 ms 212 KB answer = YES
6 Incorrect 1 ms 212 KB participant answer is larger than the answer of jury
7 Halted 0 ms 0 KB -

Subtask #3
0 / 17.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 212 KB answer = YES
2 Correct 1 ms 212 KB answer = YES
3 Correct 1 ms 212 KB answer = YES
4 Correct 1 ms 296 KB answer = NO
5 Correct 1 ms 212 KB answer = YES
6 Incorrect 1 ms 212 KB participant answer is larger than the answer of jury
7 Halted 0 ms 0 KB -

Subtask #4
0 / 24.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 212 KB answer = YES
2 Correct 1 ms 212 KB answer = YES
3 Correct 1 ms 212 KB answer = YES
4 Correct 1 ms 296 KB answer = NO
5 Correct 1 ms 212 KB answer = YES
6 Incorrect 1 ms 212 KB participant answer is larger than the answer of jury
7 Halted 0 ms 0 KB -

Subtask #5
0 / 42.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 212 KB answer = YES
2 Correct 1 ms 212 KB answer = YES
3 Correct 1 ms 212 KB answer = YES
4 Correct 1 ms 296 KB answer = NO
5 Correct 1 ms 212 KB answer = YES
6 Incorrect 1 ms 212 KB participant answer is larger than the answer of jury
7 Halted 0 ms 0 KB -