| # |
Submission time |
Handle |
Problem |
Language |
Result |
Execution time |
Memory |
| 489846 |
2021-11-24T23:04:05 Z |
JerryLiu06 |
Toll (APIO13_toll) |
C++17 |
|
2500 ms |
8120 KB |
// https://oj.uz/problem/view/APIO13_toll
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using ld = long double;
using db = double;
using str = string;
using pi = pair<int, int>;
using pl = pair<ll, ll>;
using pd = pair<db, db>;
using vi = vector<int>;
using vb = vector<bool>;
using vl = vector<ll>;
using vd = vector<db>;
using vs = vector<str>;
using vpi = vector<pi>;
using vpl = vector<pl>;
using vpd = vector<pd>;
#define FASTIO ios_base::sync_with_stdio(false); cin.tie(0);
#define mp make_pair
#define f first
#define s second
#define sz(x) (int)(x).size()
#define bg(x) begin(x)
#define all(x) bg(x), end(x)
#define sor(x) sort(all(x))
#define rsz resize
#define ins insert
#define ft front()
#define bk back()
#define pb push_back
#define pf push_front
#define lb lower_bound
#define ub upper_bound
#define FOR(i, a, b) for (int i = (a); i < (b); i++)
#define F0R(i, a) FOR(i, 0, a)
#define ROF(i, a, b) for (int i = (b) - 1; i >= (a); i--)
#define R0F(i, a) ROF(i, 0, a)
#define EACH(a, x) for (auto& a : x)
ll cdiv(ll a, ll b) { return a / b + ((a ^ b) > 0 && a % b); }
ll fdiv(ll a, ll b) { return a / b - ((a ^ b) < 0 && a % b); }
template<class T> bool ckmin(T& a, const T& b) { return b < a ? a = b, 1 : 0; }
template<class T> bool ckmax(T& a, const T& b) { return a < b ? a = b, 1 : 0; }
template<class T> void remDup(vector<T>& v) { sor(v); v.erase(unique(all(v)), v.end()); }
const int MOD = 1e9 + 7;
const int MX = 1e5 + 10;
const ll INF = 1e18;
int N, M, K, comp[MX]; vector<array<int, 3>> ed, add; vpi nxt;
map<int, int> MP; int numComp = 0; ll compSz[25]; ll ans = 0, res = 0;
vpi adj[25]; int dep[25]; pi par[25];
template<int SZ> struct DSU {
int par[SZ], sz[SZ];
void init() {
F0R(i, SZ) {
par[i] = i;
sz[i] = 1;
}
}
int find(int A) {
return A == par[A] ? A : (par[A] = find(par[A]));
}
bool onion(int A, int B) {
A = find(A);
B = find(B);
if (A == B) {
return false;
}
if (sz[A] < sz[B]) {
swap(A, B);
}
par[B] = A;
sz[A] += sz[B];
return true;
}
};
void DFS1(int X, int P) {
EACH(Y, adj[X]) if (Y.f != P) {
dep[Y.f] = dep[X] + 1;
par[Y.f] = {X, Y.s};
DFS1(Y.f, X);
}
}
void markEdges(array<int, 3> E) {
int A = E[1], B = E[2];
while (A != B) {
if (dep[A] < dep[B]) swap(A, B);
ckmin(par[A].s, E[0]);
A = par[A].f;
}
}
void DFS2(int X, int P, ll cost) {
res += compSz[X] * cost;
EACH(Y, adj[X]) if (Y.f != P) {
DFS2(Y.f, X, cost + par[Y.f].s);
}
}
void solve(int msk) {
DSU<25> D; D.init();
FOR(i, 1, numComp + 1) {
adj[i].clear();
}
F0R(i, K) {
if (msk & (1 << i)) {
if (D.find(nxt[i].f) == D.find(nxt[i].s)) {
return ;
}
D.onion(nxt[i].f, nxt[i].s);
adj[nxt[i].f].pb({nxt[i].s, MOD});
adj[nxt[i].s].pb({nxt[i].f, MOD});
}
}
vector<array<int, 3>> bad;
EACH(E, add) {
if (D.find(E[1]) == D.find(E[2])) {
bad.pb(E); continue;
}
D.onion(E[1], E[2]);
adj[E[1]].pb({E[2], 0});
adj[E[2]].pb({E[1], 0});
}
DFS1(1, 0);
EACH(E, bad) {
markEdges(E);
}
res = 0;
DFS2(1, 0, 0);
ckmax(ans, res);
}
int main() {
FASTIO;
cin >> N >> M >> K;
F0R(i, M) {
int A, B, C;
cin >> A >> B >> C;
ed.pb({C, A, B});
}
sor(ed);
DSU<MX> D1, D2; // original, new
D1.init(), D2.init();
F0R(i, K) {
int A, B; cin >> A >> B;
nxt.pb({A, B});
D2.onion(A, B);
}
EACH(E, ed) {
// Guaranteed to be in MST
if (D2.find(E[1]) != D2.find(E[2])) {
D1.onion(E[1], E[2]);
D2.onion(E[1], E[2]);
}
// May create cycle with new edges
else if (D1.find(E[1]) != D1.find(E[2])) {
add.pb(E); // add is in increasing order of weight
}
}
FOR(i, 1, N + 1) {
int P; cin >> P;
int curPar = D1.find(i);
if (!MP[curPar]) {
MP[curPar] = ++numComp;
}
comp[i] = MP[curPar];
compSz[comp[i]] += P;
}
EACH(E, nxt) {
E.f = comp[E.f];
E.s = comp[E.s];
}
EACH(E, add) {
E[1] = comp[E[1]];
E[2] = comp[E[2]];
}
F0R(msk, (1 << K)) {
solve(msk);
}
cout << ans;
}
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
1868 KB |
Output is correct |
| 2 |
Correct |
1 ms |
1880 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
1868 KB |
Output is correct |
| 2 |
Correct |
1 ms |
1880 KB |
Output is correct |
| 3 |
Correct |
3 ms |
1868 KB |
Output is correct |
| 4 |
Correct |
2 ms |
1868 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
1868 KB |
Output is correct |
| 2 |
Correct |
1 ms |
1880 KB |
Output is correct |
| 3 |
Correct |
3 ms |
1868 KB |
Output is correct |
| 4 |
Correct |
2 ms |
1868 KB |
Output is correct |
| 5 |
Correct |
21 ms |
2020 KB |
Output is correct |
| 6 |
Correct |
52 ms |
2124 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
1868 KB |
Output is correct |
| 2 |
Correct |
1 ms |
1880 KB |
Output is correct |
| 3 |
Correct |
3 ms |
1868 KB |
Output is correct |
| 4 |
Correct |
2 ms |
1868 KB |
Output is correct |
| 5 |
Correct |
21 ms |
2020 KB |
Output is correct |
| 6 |
Correct |
52 ms |
2124 KB |
Output is correct |
| 7 |
Execution timed out |
2571 ms |
8120 KB |
Time limit exceeded |
| 8 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
1868 KB |
Output is correct |
| 2 |
Correct |
1 ms |
1880 KB |
Output is correct |
| 3 |
Correct |
3 ms |
1868 KB |
Output is correct |
| 4 |
Correct |
2 ms |
1868 KB |
Output is correct |
| 5 |
Correct |
21 ms |
2020 KB |
Output is correct |
| 6 |
Correct |
52 ms |
2124 KB |
Output is correct |
| 7 |
Execution timed out |
2571 ms |
8120 KB |
Time limit exceeded |
| 8 |
Halted |
0 ms |
0 KB |
- |
