oj.uz

Submission #388419

# Submission time Handle Problem Language Result Execution time Memory
388419 2021-04-11T12:21:39 Z osaaateiasavtnl Islands (IOI08_islands) C++14
90 / 100
 1071 ms 131072 KB 
#include <iostream>
#include <cstdio>
#include <cstdlib>
#include <algorithm>
#include <cmath>
#include <vector>
#include <set>
#include <map>
#include <unordered_set>
#include <unordered_map>
#include <queue>
#include <ctime>
#include <cassert>
#include <complex>
#include <string>
#include <cstring>
#include <chrono>
#include <random>
#include <bitset>
#include <fstream>
#include <stack>
using namespace std;
#define ii pair <int, int>
#define app push_back
#define all(a) a.begin(), a.end()
#define bp __builtin_popcount
#define ll long long
#define mp make_pair
#define f first
#define s second
#define Time (double)clock()/CLOCKS_PER_SEC
#define tcT template<class T
#define tcTU tcT, class U
tcT> using V = vector<T>; 
tcT> bool ckmin(T& a, const T& b) {
    return b < a ? a = b, 1 : 0; 
} // set a = min(a,b)
tcT> bool ckmax(T& a, const T& b) {
    return a < b ? a = b, 1 : 0; 
}
const int N = 1e6 + 7;
const ll INF = 1e18 + 7;
vector <ii> g[N];
bool inc[N];
int pw[N];
int n;
void bfs() {
    queue <int> q;
    for (int i = 1; i <= n; ++i) {
        pw[i] = g[i].size();
        if (pw[i] == 1) q.push(i);
        inc[i] = 1;
    }   
    while (q.size()) {
        int u = q.front(); q.pop();
        inc[u] = 0;
        for (auto e : g[u]) {
            int v = e.f;
            --pw[v];
            if (pw[v] == 1) q.push(v);
        }   
    }   
}
int to[N], len[N];
ll h[N], diam[N];
void dfs1(int u, int p) {
    for (auto e : g[u]) {
        int v = e.f;
        if (v == p || inc[v]) continue;
        dfs1(v, u);
        ckmax(diam[u], diam[v]);
        ckmax(diam[u], h[u] + h[v] + e.s);
        ckmax(h[u], h[v] + e.s);
    }   
    ckmax(diam[u], h[u]);
}   
ll pref[N];
int r[N];
int cl[N];
int s[N];
ll solve(int n) {
    ll ans = 0;
    for (int i = 0; i < n; ++i)
    	ans = max(ans, diam[cl[i]]);
    for (int i = 1; i < n; ++i) pref[i] = pref[i - 1] + len[cl[i - 1]];
    int sz = 0;
    for (int i = 0; i < n; ++i) r[i] = n;
    for (int i = 0; i < n; ++i) {
        while (sz && h[cl[s[sz - 1]]] - pref[s[sz - 1]] <= h[cl[i]] - pref[i]) {
            r[s[sz - 1]] = i;
            sz--;
        }   
        s[sz++] = i;
    }
    int ptr = 0; ll cur = 0;
    auto get = [&] (int i) {
    	if (i < n)
    		return cl[i];
    	else
    		return cl[i - n];
    };	
    for (int i = 1; i < 2 * n - 1; ++i) {
        cur += len[get(i - 1)];
        ptr = max(ptr, i - n + 1);
        while (r[ptr] != n && r[ptr] < i) ptr = r[ptr];
        ans = max(ans, h[get(i)] + cur + h[get(ptr)] - pref[ptr]);
    }   
    return ans;        
}
bool used[N]; 
signed main() {
    #ifdef HOME
    freopen("input.txt", "r", stdin);
    #else
    ios_base::sync_with_stdio(0); cin.tie(0);
    #endif
    cin >> n;
    for (int i = 1; i <= n; ++i) {
        cin >> to[i] >> len[i];
        g[i].app(mp(to[i], len[i])); g[to[i]].app(mp(i, len[i]));
    }   
    bfs();
    for (int i = 1; i <= n; ++i) {
    	if (inc[i]) {
    		dfs1(i, i);
    	}
    }
    ll ans = 0;
    for (int i = 1; i <= n; ++i) {
        if (!used[i] && inc[i]) {
            int u = i;
            int len = 0;
            while (!used[u]) {
                used[u] = 1;
                cl[len++] = u;
                u = to[u];
            }   
            ans += solve(len);
        }
    }   
    cout << ans << '\n';
}

Subtask #1
33.0 / 33.0

# Verdict Execution time Memory Grader output
1 Correct 14 ms 23756 KB Output is correct
2 Correct 14 ms 23908 KB Output is correct
3 Correct 14 ms 23828 KB Output is correct
4 Correct 13 ms 23840 KB Output is correct
5 Correct 14 ms 23868 KB Output is correct
6 Correct 13 ms 23864 KB Output is correct
7 Correct 14 ms 23888 KB Output is correct
8 Correct 14 ms 23888 KB Output is correct
9 Correct 16 ms 23872 KB Output is correct
10 Correct 16 ms 23840 KB Output is correct
11 Correct 14 ms 23896 KB Output is correct

Subtask #2
3.0 / 3.0

# Verdict Execution time Memory Grader output
1 Correct 16 ms 23928 KB Output is correct
2 Correct 16 ms 23888 KB Output is correct

Subtask #3
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 15 ms 24012 KB Output is correct
2 Correct 15 ms 24192 KB Output is correct

Subtask #4
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 20 ms 24908 KB Output is correct
2 Correct 29 ms 26616 KB Output is correct
3 Correct 24 ms 25312 KB Output is correct
4 Correct 19 ms 24524 KB Output is correct

Subtask #5
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 36 ms 27652 KB Output is correct
2 Correct 49 ms 30424 KB Output is correct

Subtask #6
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 101 ms 37912 KB Output is correct
2 Correct 90 ms 37188 KB Output is correct
3 Correct 119 ms 43648 KB Output is correct

Subtask #7
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 157 ms 49168 KB Output is correct
2 Correct 199 ms 61376 KB Output is correct
3 Correct 195 ms 57068 KB Output is correct
4 Correct 245 ms 73968 KB Output is correct

Subtask #8
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 330 ms 79852 KB Output is correct
2 Correct 680 ms 91904 KB Output is correct
3 Correct 320 ms 77036 KB Output is correct
4 Correct 384 ms 96564 KB Output is correct
5 Correct 373 ms 97940 KB Output is correct
6 Correct 1071 ms 88256 KB Output is correct
7 Correct 391 ms 102604 KB Output is correct

Subtask #9
0 / 10.0

# Verdict Execution time Memory Grader output
1 Runtime error 384 ms 131072 KB Execution killed with signal 9
2 Halted 0 ms 0 KB -