# |
Submission time |
Handle |
Problem |
Language |
Result |
Execution time |
Memory |
489237 |
2021-11-21T17:45:17 Z |
dxz05 |
Islands (IOI08_islands) |
C++14 |
|
1071 ms |
131076 KB |
#pragma GCC optimize("Ofast,O2,O3,unroll-loops")
#pragma GCC target("avx2")
#include <iostream>
#include <vector>
#include <bitset>
#include <stack>
#include <algorithm>
#include <chrono>
#include <random>
using namespace std;
#define SZ(s) ((int)s.size())
#define all(x) (x).begin(), (x).end()
#define lla(x) (x).rbegin(), (x).rend()
#define MP make_pair
typedef long long ll;
const double eps = 0.000001;
const int MOD = 998244353;
const int INF = 1000000101;
const long long LLINF = 1223372000000000555;
const int N = 1e6 + 1;
const int M = 222;
mt19937 rng(chrono::high_resolution_clock::now().time_since_epoch().count());
int f[N]; int w[N];
bitset<N> used;
vector<int> cycle;
stack<int> st;
void find_cycle(int x){
while (!st.empty()) st.pop();
cycle.clear();
while (true){
st.push(x);
used[x] = true;
if (used[f[x]]){
while (!st.empty()){
int y = st.top(); st.pop();
cycle.push_back(y);
if (y == f[x]) break;
}
return;
}
x = f[x];
}
}
int parent[N];
int find(int x){
return (x == parent[x] ? x : parent[x] = find(parent[x]));
}
vector<int> g[N];
bitset<N> incycle;
inline int A(const int &u, const int &v){
if (f[u] == v && f[v] != u) return w[u];
if (f[u] != v && f[v] == u) return w[v];
return max(w[u], w[v]);
}
void dfs(const int v, const int p, const ll d, const int root, vector<int> &tree, vector<ll> &dist, const bool flag){
tree.push_back(v);
dist.push_back(d);
for (int u : g[v]){
if (u != p){
if (u == root || !incycle[u]) dfs(u, v, d + A(u, v), root, tree, dist, flag);
}
}
if (flag) g[v].clear();
}
ll arr[N];
inline ll component(const int root){
find_cycle(root);
for (int v : cycle){
incycle[v] = true;
}
ll ans = 0;
vector<int> tree; vector<ll> dist;
for (int v : cycle){
dfs(v, v, 0, v, tree, dist, false);
int i = max_element(all(dist)) - dist.begin();
ans = max(ans, dist[i]);
arr[v] = dist[i];
tree.clear(); dist.clear();
dfs(tree[i], tree[i], 0, v, tree, dist, true);
ans = max(ans, *max_element(all(dist)));
tree.clear(), dist.clear();
}
const int n = cycle.size();
if (n == 2){
int u = cycle[0], v = cycle[1];
ans = max(ans, arr[u] + arr[v] + A(u, v));
return ans;
}
vector<ll> a(n);
a[0] = {arr[cycle[0]]};
ll sum = 0;
for (int i = 1; i < n; i++){
sum += A(cycle[i - 1], cycle[i]);
a[i] = arr[cycle[i]] + sum;
}
sum += A(cycle[0], cycle.back());
// for (int x : cycle) cout << x << ' '; cout << endl;
// for (ll x : a) cout << x << ' '; cout << endl;
ans = max(ans, arr[cycle[0]] + *max_element(a.begin() + 1, a.end()));
vector<ll> sf(n, a.back());
for (int i = n - 2; i >= 0; i--) sf[i] = max(sf[i + 1], a[i]);
ll add = 0;
int v, u;
ll mx = 0;
for (int i = 1; i < n; i++){
v = cycle[i], u = cycle[i - 1];
add -= A(v, u);
mx = max(mx, a[i - 1] + sum);
ans = max(ans, arr[v] + add + mx);
if (i + 1 < n) ans = max(ans, arr[v] + add + sf[i + 1]);
mx = max(mx, a[i]);
// for (int j = 1; j <= n; j++) cout << ST.get(j, j) << ' '; cout << endl;
}
return ans;
}
void solve(int TC) {
int n;
cin >> n;
for (int i = 1; i <= n; i++) parent[i] = i;
for (int i = 1; i <= n; i++){
cin >> f[i] >> w[i];
if (rng() & 1) parent[find(i)] = find(f[i]); else
parent[find(f[i])] = find(i);
if (f[f[i]] != i){
g[i].push_back(f[i]);
g[f[i]].push_back(i);
}
}
bitset<N> comp;
ll ans = 0;
for (int i = 1; i <= n; i++){
if (!comp[find(i)]){
comp[find(i)] = true;
const ll cur = component(i);
ans += cur;
}
}
cout << ans;
}
int main() {
ios_base::sync_with_stdio(false); cin.tie(nullptr); cout.tie(nullptr);
#ifdef dddxxz
freopen("input.txt", "r", stdin);
freopen("output.txt", "w", stdout);
#endif
int TC = 1;
// cin >> TC;
for (int test = 1; test <= TC; test++) {
//debug(test);
//cout << "Case #" << test << ": ";
solve(test);
}
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
14 ms |
23884 KB |
Output is correct |
2 |
Correct |
13 ms |
23884 KB |
Output is correct |
3 |
Correct |
13 ms |
23912 KB |
Output is correct |
4 |
Correct |
13 ms |
23884 KB |
Output is correct |
5 |
Correct |
13 ms |
23864 KB |
Output is correct |
6 |
Correct |
14 ms |
23884 KB |
Output is correct |
7 |
Correct |
14 ms |
23864 KB |
Output is correct |
8 |
Correct |
13 ms |
23968 KB |
Output is correct |
9 |
Correct |
14 ms |
23884 KB |
Output is correct |
10 |
Correct |
14 ms |
23884 KB |
Output is correct |
11 |
Correct |
15 ms |
23960 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
14 ms |
24012 KB |
Output is correct |
2 |
Correct |
14 ms |
24012 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
14 ms |
24072 KB |
Output is correct |
2 |
Correct |
15 ms |
24116 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
22 ms |
24740 KB |
Output is correct |
2 |
Correct |
27 ms |
26156 KB |
Output is correct |
3 |
Correct |
22 ms |
25336 KB |
Output is correct |
4 |
Correct |
18 ms |
24524 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
31 ms |
27196 KB |
Output is correct |
2 |
Correct |
49 ms |
29432 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
83 ms |
35388 KB |
Output is correct |
2 |
Correct |
90 ms |
37636 KB |
Output is correct |
3 |
Correct |
116 ms |
41616 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
151 ms |
44932 KB |
Output is correct |
2 |
Correct |
173 ms |
56968 KB |
Output is correct |
3 |
Correct |
191 ms |
61784 KB |
Output is correct |
4 |
Correct |
228 ms |
69296 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
293 ms |
86836 KB |
Output is correct |
2 |
Correct |
792 ms |
86316 KB |
Output is correct |
3 |
Correct |
265 ms |
65548 KB |
Output is correct |
4 |
Correct |
334 ms |
82012 KB |
Output is correct |
5 |
Correct |
344 ms |
83740 KB |
Output is correct |
6 |
Correct |
1071 ms |
77712 KB |
Output is correct |
7 |
Correct |
360 ms |
94744 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Runtime error |
332 ms |
131076 KB |
Execution killed with signal 9 |
2 |
Halted |
0 ms |
0 KB |
- |