160 lines
3.3 KiB
C++
160 lines
3.3 KiB
C++
/* Problem URL: https://codeforces.com/edu/course/2/lesson/6/4/practice/contest/285069/problem/B */
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#include <bits/stdc++.h>
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#include <ext/pb_ds/assoc_container.hpp>
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#include <ext/pb_ds/tree_policy.hpp>
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using namespace std;
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using namespace __gnu_pbds;
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template <class T, class comp = less<>>
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using ordered_set = tree<T, null_type , comp , rb_tree_tag , tree_order_statistics_node_update>;
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#define V vector
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#define rmin(a, b) a = min(a, b)
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#define rmax(a, b) a = max(a, b)
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#define rep(i, lim) for (int i = 0; i < (lim); i++)
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#define nrep(i, s, lim) for (int i = s; i < (lim); i++)
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#define repv(i, v) for (auto &i : (v))
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#define fillv(v) for (auto &itr_ : (v)) { cin >> itr_; }
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#define sortv(v) sort(v.begin(), v.end())
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#define all(v) (v).begin(), (v).end()
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using vi = vector<int>;
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using vvi = vector<vi>;
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using vvvi = vector<vvi>;
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using vvvvi = vector<vvvi>;
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using ll = long long;
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using vl = vector<ll>;
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using vvl = vector<vl>;
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using vvvl = vector<vvl>;
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using vvvvl = vector<vvvl>;
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template<class v>
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auto operator<<(ostream &os, const vector<v> &vec)->ostream& {
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os << vec[0];
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for (size_t i = 1; i < vec.size(); i++) {
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os << ' ' << vec[i];
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}
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os << '\n';
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return os;
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}
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template<class v>
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auto operator>>(istream &is, vector<v> &vec)->istream& {
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for (auto &i : vec) {
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is >> i;
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}
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return is;
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}
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template<class v>
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auto operator<<(ostream &os, const vector<vector<v>> &vec)->ostream& {
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for (auto &i : vec) {
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os << i[0];
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for (size_t j = 1; j < i.size(); j++) {
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os << ' ' << i[j];
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}
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os << '\n';
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}
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return os;
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}
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template<class v>
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auto operator>>(istream &is, vector<vector<v>> &vec)->istream& {
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for (auto &i : vec) {
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for (auto &j : i) {
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is >> j;
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}
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}
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return is;
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}
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int main()
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{
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ios::sync_with_stdio(false);
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cin.tie(nullptr);
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int n, m;
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cin >> n >> m;
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V<V<pair<int, int>>> graph(n);
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while (m--) {
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int a, b, c;
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cin >> a >> b >> c;
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graph[a - 1].emplace_back(b - 1, c);
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}
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vi parent(n);
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long double low = 0;
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long double high = 1e3;
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long double act = 0;
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long double eps = 1e-9;
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vi next(n, -1);
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long double inf = 1e18;
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while ((high - low) >= eps) {
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long double mid = (high + low) / 2;
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V<long double> memo(n, -inf);
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function<long double(int)> dfs = [&](int i) {
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long double &ans = memo[i];
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if (ans != -inf) {
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return ans;
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}
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if (i == n - 1) {
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ans = 0;
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return ans;
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}
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ans = inf;
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for (auto [j, c] : graph[i]) {
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// rmin(ans, dfs(j) + c - mid);
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long double tmp = dfs(j) + c - mid;
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if (tmp <= ans) {
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next[i] = j;
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ans = tmp;
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}
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}
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return ans;
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};
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long double tmp = dfs(0);
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if (tmp <= 0) {
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high = mid;
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act = mid;
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continue;
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}
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low = mid;
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}
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vi ans = {1};
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int now = next[0];
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while (now != n - 1) {
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ans.push_back(now + 1);
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now = next[now];
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}
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ans.push_back(n);
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cout << ans.size() - 1 << '\n' << ans;
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}
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