Submission #879740

#	Time	Username	Problem	Language	Result	Execution time	Memory
879740		marvinthang	Toll (APIO13_toll)	C++17	100 / 100	1608 ms	11640 KiB

toll

/*************************************
*    author: marvinthang             *
*    created: 28.11.2023 09:58:49    *
*************************************/

#include <bits/stdc++.h>

using namespace std;

#define                  fi  first
#define                  se  second
#define                left  ___left
#define               right  ___right
#define                TIME  (1.0 * clock() / CLOCKS_PER_SEC)
#define             MASK(i)  (1LL << (i))
#define           BIT(x, i)  ((x) >> (i) & 1)
#define  __builtin_popcount  __builtin_popcountll
#define              ALL(v)  (v).begin(), (v).end()
#define           REP(i, n)  for (int i = 0, _n = (n); i < _n; ++i)
#define          REPD(i, n)  for (int i = (n); i-- > 0; )
#define        FOR(i, a, b)  for (int i = (a), _b = (b); i < _b; ++i) 
#define       FORD(i, b, a)  for (int i = (b), _a = (a); --i >= _a; ) 
#define       FORE(i, a, b)  for (int i = (a), _b = (b); i <= _b; ++i) 
#define      FORDE(i, b, a)  for (int i = (b), _a = (a); i >= _a; --i) 
#define        scan_op(...)  istream & operator >> (istream &in, __VA_ARGS__ &u)
#define       print_op(...)  ostream & operator << (ostream &out, const __VA_ARGS__ &u)
#ifdef LOCAL
    #include "debug.h"
#else
    #define file(name) if (fopen(name".inp", "r")) { freopen(name".inp", "r", stdin); freopen(name".out", "w", stdout); }
    #define DB(...) 23
    #define db(...) 23
    #define debug(...) 23
#endif

template <class U, class V> scan_op(pair <U, V>)  { return in >> u.first >> u.second; }
template <class T> scan_op(vector <T>)  { for (size_t i = 0; i < u.size(); ++i) in >> u[i]; return in; }
template <class U, class V> print_op(pair <U, V>)  { return out << '(' << u.first << ", " << u.second << ')'; }
template <size_t i, class T> ostream & print_tuple_utils(ostream &out, const T &tup) { if constexpr(i == tuple_size<T>::value) return out << ")";  else return print_tuple_utils<i + 1, T>(out << (i ? ", " : "(") << get<i>(tup), tup); }
template <class ...U> print_op(tuple<U...>) { return print_tuple_utils<0, tuple<U...>>(out, u); }
template <class Con, class = decltype(begin(declval<Con>()))> typename enable_if <!is_same<Con, string>::value, ostream&>::type operator << (ostream &out, const Con &con) { out << '{'; for (__typeof(con.begin()) it = con.begin(); it != con.end(); ++it) out << (it == con.begin() ? "" : ", ") << *it; return out << '}'; }

// index from 0 to n
struct DisjointSet {
    vector <int> par;
    DisjointSet(int n = 0): par(n + 1, -1) {}
    void reset(void) { fill(par.begin(), par.end(), -1); }
    void resize(int n) { par.assign(n + 1, -1); }
    bool connected(int u, int v) { return find(u) == find(v); }
    bool isRoot(int u) { return par[u] < 0; }
    int size(int u) { return -par[find(u)]; }
    int find(int u) { return par[u] < 0 ? u : par[u] = find(par[u]); }
    bool join(int u, int v) {
        if ((u = find(u)) == (v = find(v))) return false;
        if (par[u] > par[v]) swap(u, v);
        par[u] += par[v]; par[v] = u;
        return true;
    }
};
using DSU = DisjointSet;

// end of template

void process(void) {
	int n, m, k; cin >> n >> m >> k;
	vector <array <int, 3>> edges(m + k);
	FOR(i, k, m + k) cin >> edges[i][1] >> edges[i][2] >> edges[i][0];
	REP(i, k) REP(j, 2) cin >> edges[i][j + 1];
	vector <int> p(n); cin >> p;
	sort(k + ALL(edges));
	DSU dsu(n);
	vector <bool> on_mst(m + k);
	REP(i, m + k) {
		REP(j, 2) --edges[i][j + 1];
		on_mst[i] = dsu.join(edges[i][1], edges[i][2]);
	}
	dsu.reset();
	FOR(i, k, m + k) if (on_mst[i]) dsu.join(edges[i][1], edges[i][2]);
	vector <int> id(n, -1);
	int sz = 0;
	REP(i, n) {
		int p = dsu.find(i);
		if (id[p] < 0) id[p] = sz++;
		id[i] = id[p];
	}
	vector <long long> cnt(sz);
	REP(i, n) cnt[id[i]] += p[i];
	vector <array <int, 3>> imp_edges;
	int ne = k;
	FOR(i, k, m + k) if (!on_mst[i] && dsu.join(edges[i][1], edges[i][2])) edges[ne++] = edges[i];
	REP(i, ne) edges[i][1] = id[edges[i][1]], edges[i][2] = id[edges[i][2]];
	dsu.resize(sz);
	vector <vector <int>> adj(sz);
	vector <int> depth(sz), par(sz), mi(sz);
	vector <long long> tree_size(sz);
	auto solve = [&] (int mask) {
		REP(i, sz) {
			adj[i].clear();
			depth[i] = par[i] = 0;
			mi[i] = (int) 1e6;
		}
		dsu.reset();
		REP(i, k) if (BIT(mask, i)) {
			int u = edges[i][1], v = edges[i][2];
			if (!dsu.join(u, v)) return 0LL;
			adj[u].push_back(i);
			adj[v].push_back(i);
		}
		vector <int> rem_edge;
		FOR(i, k, ne) {
			int u = edges[i][1], v = edges[i][2];
			if (dsu.join(u, v)) {
				adj[u].push_back(i);
				adj[v].push_back(i);
			} else rem_edge.push_back(i);
		}
		function<void(int)> dfs = [&] (int u) {
			tree_size[u] = cnt[u];
			for (int i: adj[u]) {
				int v = edges[i][1] ^ edges[i][2] ^ u;
				if (v != par[u]) {
					par[v] = u;
					depth[v] = depth[u] + 1;
					dfs(v);
					tree_size[u] += tree_size[v];
				}
			}
		};
		dfs(0);
		for (int i: rem_edge) {
			int u = edges[i][1], v = edges[i][2], w = edges[i][0];
			while (u != v) {
				if (depth[u] < depth[v]) swap(u, v);
				mi[u] = min(mi[u], w);
				u = par[u];
			}
		}
		long long cur = 0;
		function <void(int)> dfs2 = [&] (int u) {
			for (int i: adj[u]) {
				int v = edges[i][1] ^ edges[i][2] ^ u;
				if (v != par[u]) {
					if (i < k) cur += mi[v] * tree_size[v];
					dfs2(v);
				}
			}
		};
		dfs2(0);
		return cur;
	};
	long long res = 0;
	FOR(mask, 1, MASK(k)) res = max(res, solve(mask));
	cout << res << '\n';
}

int main(void) {
	ios_base::sync_with_stdio(false); cin.tie(nullptr); // cout.tie(nullptr);
	file("toll");
	// int t; cin >> t; while (t--)
	process();
	// cerr << "Time elapsed: " << TIME << " s.\n";
	return (0^0);
}

Compilation message (stderr)

toll.cpp: In function 'int main()':
toll.cpp:30:61: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
   30 |     #define file(name) if (fopen(name".inp", "r")) { freopen(name".inp", "r", stdin); freopen(name".out", "w", stdout); }
      |                                                      ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~
toll.cpp:158:2: note: in expansion of macro 'file'
  158 |  file("toll");
      |  ^~~~
toll.cpp:30:94: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
   30 |     #define file(name) if (fopen(name".inp", "r")) { freopen(name".inp", "r", stdin); freopen(name".out", "w", stdout); }
      |                                                                                       ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~
toll.cpp:158:2: note: in expansion of macro 'file'
  158 |  file("toll");
      |  ^~~~

• Subtask 1: 16 / 16
• Subtask 2: 18 / 18
• Subtask 3: 22 / 22
• Subtask 4: 22 / 22
• Subtask 5: 22 / 22