Submission #1043140

#TimeUsernameProblemLanguageResultExecution timeMemory
1043140WhisperAirplane (NOI23_airplane)C++17
100 / 100
212 ms35064 KiB
#include <bits/stdc++.h>

using namespace std;
using ll = long long;

#define int long long
#define FOR(i, a, b) for (int i = (a); i <= (b); i++)
#define FORD(i, a, b) for (int i = (b); i >= (a); i --)
#define REP(i, a) for (int i = 0; i < (a); ++i)
#define REPD(i, a) for (int i = (a) - 1; i >= 0; --i)

#define MASK(i) (1LL << (i))
#define BIT(x, i) (((x) >> (i)) & 1)


constexpr ll LINF = (1ll << 60);
constexpr int INF = (1ll << 30);
constexpr int Mod = 1e9 + 7;
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());

/*
    Phu Trong from Nguyen Tat Thanh High School for gifted student
*/

template <class X, class Y>
    bool minimize(X &x, const Y &y){
        X eps = 1e-9;
        if (x > y + eps) {x = y; return 1;}
        return 0;
    }

template <class X, class Y>
    bool maximize(X &x, const Y &y){
        X eps = 1e-9;
        if (x + eps < y) {x = y; return 1;}
        return 0;
    }
#define MAX_NODE                200005
#define MAX_EDGE                400005
int numNode, numEdge;

int label[MAX_NODE];
vector<int> G[MAX_NODE];
struct Edge{
    int u, v, w;
    Edge(){}
    Edge(int _u, int _v, int _w): u(_u), v(_v), w(_w){}

    int other(int x){
        return (x ^ u ^ v);
    }
} edge[MAX_EDGE];



void dijkstra(int u, int minDist[]){
    priority_queue<pair<int, int>, vector<pair<int, int>>, greater<pair<int, int>>> q;
    q.emplace(0, u);
    memset(minDist, 0x3f, (numNode + 1) * sizeof(int));
    minDist[u] = 0;
    while(q.size()){
        int du, u; tie(du, u) = q.top(); q.pop();
        if (du > minDist[u]) continue;
        for (int&i : G[u]){
            int v = edge[i].other(u);
            if(minimize(minDist[v], max(minDist[u] + 1, label[v]))){
                q.emplace(minDist[v], v);
            }
        }
    }
}

int minDist[MAX_NODE], rminDist[MAX_NODE];
void process(void){
    cin >> numNode >> numEdge;

    for (int i = 1; i <= numNode; ++i) cin >> label[i];
    for (int i = 1; i <= numEdge; ++i){
        cin >> edge[i].u >> edge[i].v;
        G[edge[i].u].emplace_back(i);
        G[edge[i].v].emplace_back(i);
    }
    dijkstra(1, minDist);
    dijkstra(numNode, rminDist);

    int ans = LINF;
    for (int i = 1; i <= numNode; ++i){
        int cost = max(minDist[i], rminDist[i]) * 2;
        minimize(ans, cost);
    }

    for (int i = 1; i <= numEdge; ++i){
        int u = edge[i].u, v = edge[i].v;
        minimize(ans, max(minDist[u], rminDist[v]) * 2 + 1);
        minimize(ans, max(minDist[v], rminDist[u]) * 2 + 1);
    }
    cout << ans;
}
signed main(){
    #define name "Whisper"
    cin.tie(nullptr) -> sync_with_stdio(false);
    //freopen(name".inp", "r", stdin);
    //freopen(name".out", "w", stdout);
    process();
    return (0 ^ 0);
}





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