제출 #562956

#	제출 시각	아이디	문제	언어	결과	실행 시간	메모리
562956		ngpin04	통행료 (APIO13_toll)	C++14	78 / 100	2540 ms	14784 KiB

toll

#include <bits/stdc++.h>
#define fi first
#define se second
#define mp make_pair
#define TASK ""
#define bit(x) (1LL << (x))
#define getbit(x, i) (((x) >> (i)) & 1)
#define ALL(x) (x).begin(), (x).end() 
using namespace std;
template <typename T1, typename T2> bool mini(T1 &a, T2 b) {
	if (a > b) {a = b; return true;} return false;
}
template <typename T1, typename T2> bool maxi(T1 &a, T2 b) {
	if (a < b) {a = b; return true;} return false;
}
mt19937_64 rd(chrono::steady_clock::now().time_since_epoch().count());

int rand(int l, int r) {
	return l + rd() % (r - l + 1);
}
const int N = 1e5 + 5; 
const int M = 3e5 + 5;
const int oo = 1e9;
const long long ooo = 1e18;
const int mod = 1e9 + 7; // 998244353;
const long double pi = acos(-1);

vector <int> adj[N];
vector <int> ind;

long long val[N];

int fr[M];
int to[M];
int w[M];

int T[N][5];
int par[N];
int anc[N];
int lim[N];
int tin[N];
int mx[N];
int h[N];
int a[N];
int b[N];
int n,k,m,timer;

int getpar(int u) {
	return (par[u] < 0) ? u : (par[u] = getpar(par[u]));
}

bool join(int u, int v) {
	u = getpar(u);
	v = getpar(v);
	if (u == v)
		return false;
	if (par[u] > par[v])
		swap(u, v);
	par[u] += par[v];
	par[v] = u;
	return true;
}

int gethigh(int u, int v) {
	return (h[u] < h[v]) ? u : v;
}

void dfs(int u, int p = -1) {
	// cerr << val[u] << " " << u << " " << p << "\n";
	anc[u] = p;
	tin[u] = ++timer;
	T[timer][0] = u;
	for (int i : adj[u]) {
		int v = (i < 0) ? (fr[-i] ^ to[-i] ^ u) : (a[i] ^ b[i] ^ u);
		if (v == p)
			continue;
		int c = (i < 0) ? 0 : mx[i];
		lim[v] = c;
		T[++timer][0] = u;
		h[v] = h[u] + 1;
		dfs(v, u);
	}
}

int getlca(int u, int v) {
	int l = tin[u];
	int r = tin[v];
	if (l > r)
		swap(l, r);
	int d = __lg(r - l + 1);
	return gethigh(T[l][d], T[r - bit(d) + 1][d]);
}

long long getans(int u, long long cur = 0, int p = -1) {
	long long res = cur * val[u];
	for (int i : adj[u]) {
		int v = (i < 0) ? (fr[-i] ^ to[-i] ^ u) : (a[i] ^ b[i] ^ u);
		if (v == p)
			continue;
		res += getans(v, cur + lim[v], u);
	}
	return res;
}

int main() {
	ios_base::sync_with_stdio(0);
	cin.tie(0);
	#ifdef ONLINE_JUDGE
	// freopen(TASK".inp","r",stdin);
	// freopen(TASK".out","w",stdout);
	#endif
	cin >> n >> m >> k;
	for (int i = 1; i <= m; i++) {
		cin >> fr[i] >> to[i] >> w[i];
		ind.push_back(i);
	}
	for (int i = 1; i <= k; i++)
		cin >> a[i] >> b[i];

	sort(ALL(ind), [](int i, int j) {
		return w[i] < w[j];
	});
	
	{
		memset(par, -1, sizeof(par));
		vector <int> newind;
		for (int i : ind) {
			if (join(fr[i], to[i])) {
				newind.push_back(i);
				for (int j = 1; j <= k; j++)
					if (!mx[j] && getpar(a[j]) == getpar(b[j]))
						mx[j] = w[i];
			}
		}
		swap(newind, ind);
	}

	vector <int> notind;
	{
		vector <int> newind;
		memset(par, -1, sizeof(par));
		for (int i = 1; i <= k; i++)
			join(a[i], b[i]);

		for (int i : ind) {
			if (join(fr[i], to[i])) 
				newind.push_back(i);
			else
				notind.push_back(i);
		}
		swap(newind, ind);
	}

	memset(par, -1, sizeof(par));
	for (int i : ind) 
		join(fr[i], to[i]);

	for (int i = 1; i <= n; i++) {
		int x; cin >> x;
		val[getpar(i)] += x;
	}

	vector <int> node;
	for (int i = 1; i <= n; i++) 
		if (par[i] < 0)
			node.push_back(i);

	for (int i : notind) {
		fr[i] = getpar(fr[i]);
		to[i] = getpar(to[i]);
	}

	for (int i = 1; i <= k; i++) {
		a[i] = getpar(a[i]);
		b[i] = getpar(b[i]);
	}

	long long ans = 0;
	int root = getpar(1);
	for (int mask = 0; mask < bit(k); mask++) {
		for (int v : node) {
			par[v] = -1;
			adj[v].clear();
		}

		bool ok = true;
		for (int i = 1; i <= k; i++) if (getbit(mask, i - 1)) {
			if (!join(a[i], b[i])) {
				ok = false;
				break;
			}
			adj[a[i]].push_back(i);
			adj[b[i]].push_back(i);
		}

		if (!ok)
			continue;

		vector <int> lef;
		for (int i : notind) {
			if (join(fr[i], to[i])) {
				adj[fr[i]].push_back(-i);
				adj[to[i]].push_back(-i);
			} else {
				lef.push_back(i);
			}

		}
		
		timer = 0;
		h[root] = 0;
		dfs(root);

		for (int j = 1; j < 5; j++)
		for (int i = 1; i + bit(j) - 1 <= timer; i++)
			T[i][j] = gethigh(T[i][j - 1], T[i + bit(j - 1)][j - 1]);

		for (int v : node)
			par[v] = -1;

		for (int i : lef) {
			int p = getlca(fr[i], to[i]);
			int v; 
			{
				v = getpar(fr[i]);
				while (h[v] > h[p]) {
					mini(lim[v], w[i]);
					par[v] = anc[v];
					v = getpar(v);
				}
			}

			{
				v = getpar(to[i]);
				while (h[v] > h[p]) {
					mini(lim[v], w[i]);
					par[v] = anc[v];
					v = getpar(v);
				}
			}
		}

		maxi(ans, getans(root));
	}

	cout << ans;
	return 0;	
}

• Subtask 1: 16 / 16
• Subtask 2: 18 / 18
• Subtask 3: 22 / 22
• Subtask 4: 22 / 22
• Subtask 5: 0 / 22