Submission #1120987

#TimeUsernameProblemLanguageResultExecution timeMemory
1120987steveonalexSjekira (COCI20_sjekira)C++17
110 / 110
54 ms5964 KiB
#include <bits/stdc++.h>

using namespace std;

typedef long long ll;
typedef unsigned long long ull;

#define MASK(i) (1LL << (i))
#define GETBIT(mask, i) (((mask) >> (i)) & 1)
#define ALL(v) (v).begin(), (v).end()

ll max(ll a, ll b){return (a > b) ? a : b;}
ll min(ll a, ll b){return (a < b) ? a : b;}

ll gcd(ll a, ll b){return __gcd(a, b);}
ll LASTBIT(ll mask){return (mask) & (-mask);}
int pop_cnt(ll mask){return __builtin_popcountll(mask);}
int ctz(ll mask){return __builtin_ctzll(mask);}
int logOf(ll mask){return __lg(mask);}

mt19937_64 rng(chrono::high_resolution_clock::now().time_since_epoch().count());
ll rngesus(ll l, ll r){return l + (ull) rng() % (r - l + 1);}

template <class T1, class T2>
    bool maximize(T1 &a, T2 b){
        if (a < b) {a = b; return true;}
        return false;
    }

template <class T1, class T2>
    bool minimize(T1 &a, T2 b){
        if (a > b) {a = b; return true;}
        return false;
    }

template <class T>
    void printArr(T& container, char separator = ' ', char finish = '\n'){
        for(auto item: container) cout << item << separator;
        cout << finish;
    }


template <class T>
    void remove_dup(vector<T> &a){
        sort(ALL(a));
        a.resize(unique(ALL(a)) - a.begin());
    }

struct DSU{
    int n;
    vector<int> parent, sz;
    vector<int> ma;

    DSU(int _n){
        n = _n;
        parent.resize(n+1); sz.resize(n+1, 1);
        ma.resize(n+1);
        for(int i = 1; i<=n; ++i) parent[i] = i;
    }

    int find_set(int u){return (u == parent[u]) ? u : (parent[u] = find_set(parent[u]));}
    bool same_set(int u, int v){return find_set(u) == find_set(v);}

    bool join_set(int u, int v){
        u = find_set(u), v = find_set(v);
        if (u != v){
            if (sz[u] < sz[v]) swap(u, v);
            parent[v] = u;
            sz[u] += sz[v];
            maximize(ma[u], ma[v]);
            return true;
        }
        return false;
    }

    int get_size(int u){return sz[find_set(u)];}

    int get_ma(int u){return ma[find_set(u)];}
};


void solve(){
    int n; cin >> n;
    vector<int> a(n+1);
    for(int i = 1; i<=n; ++i) cin >> a[i];
    vector<pair<int, int>> edge(n-1);
    vector<array<int, 3>> weighted_edge(n-1);
    for(int i = 0; i<n-1; ++i){
        int u, v; cin >> u >> v;
        edge[i] = {u, v};
        weighted_edge[i] = {{max(a[u], a[v]), u, v}};
    }

    sort(ALL(weighted_edge));
    DSU mst(n);
    for(int i = 1; i<=n; ++i) mst.ma[i] = a[i];

    ll ans = 0;
    for(auto i: weighted_edge){
        int u = i[1], v = i[2];
        ans += mst.get_ma(u) + mst.get_ma(v);
        mst.join_set(u, v);
    }
    cout << ans << "\n";
}

int main(void){
    ios::sync_with_stdio(0); cin.tie(0); cout.tie(0);

    clock_t start = clock();
    
    solve();

    cerr << "Time elapsed: " << clock() - start << "ms!\n";
    return 0;
}
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