Submission #102627

#TimeUsernameProblemLanguageResultExecution timeMemory
102627someone_aaPrice List (POI13_cen)C++17
100 / 100
471 ms28640 KiB
#include <bits/stdc++.h>
#define ll long long
#define pb push_back
#define mp make_pair
using namespace std;
const int maxn = 100100;
ll n, m, k, a, b;
ll dista[maxn], distb[maxn];

vector<int>g[maxn];
set<int>edge[maxn];
vector<int>unsolved[maxn];

bool visiteda[maxn], visitedb[maxn];

void bfs() {
    for(int i=1;i<=n;i++) dista[i] = 1e9;
    queue<int>q;
    visiteda[k] = true;
    dista[k] = 0;
    q.push(k);

    while(!q.empty()) {
        int curr = q.front();
        q.pop();
        for(int i:g[curr]) {
            if(!visiteda[i]) {
                visiteda[i] = true;
                dista[i] = dista[curr] + 1;
                q.push(i);
            }
        }
    }
}

void bfsb() {
    for(int i=1;i<=n;i++) {
        distb[i] = 1e9;
    }
    queue<int>q;
    visitedb[k] = true;
    distb[k] = 0;
    q.push(k);

    while(!q.empty()) {
        int curr = q.front(); q.pop();
        for(int i:g[curr]) {
            vector<int>temp;
            for(int j:unsolved[i]) {
                if(visitedb[j]) continue;
                temp.pb(j);
                if(edge[j].find(curr) != edge[j].end()) {
                    continue;
                }

                visitedb[j] = true;
                distb[j] = distb[curr] + 1;
                q.push(j);
            }
            unsolved[i] = temp;
        }
    }

}

int main() {
    cin>>n>>m>>k>>a>>b;

    int x, y;
    for(int i=0;i<m;i++) {
        cin>>x>>y;
        g[x].pb(y); g[y].pb(x);
        edge[x].insert(y); edge[y].insert(x);
        unsolved[x].pb(y); unsolved[y].pb(x);
    }

    bfs();
    bfsb();

    for(int i=1;i<=n;i++) {
        if(dista[i] % 2 == 0) {
            cout<<min(dista[i]*a, (dista[i]/2)*b)<<"\n";
        }
        else {
            ll cb = INT_MAX;
            if(visitedb[i]) cb = distb[i] * b;
            cout<<min(min(dista[i] * a, ((dista[i]-1)/2*b)+a),cb)<<"\n";
        }
    }
}
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