Submission #1182817

#TimeUsernameProblemLanguageResultExecution timeMemory
1182817steveonalexDrivers (BOI24_drivers)C++20
100 / 100
139 ms25160 KiB
#include <bits/stdc++.h>

using namespace std;

typedef long long ll;
typedef unsigned long long ull;

#define MASK(i) (1ULL << (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(abs(a), abs(b));}
ll lcm(ll a, ll b){return abs(a) / gcd(a, b) * abs(b);}

ll LASTBIT(ll mask){return (mask) & (-mask);}
int pop_cnt(ull mask){return __builtin_popcountll(mask);}
int ctz(ull mask){return __builtin_ctzll(mask);}
int logOf(ull mask){return 63 - __builtin_clzll(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, string separator = " ", string finish = "\n", ostream &out = cout){
        for(auto item: container) out << item << separator;
        out << 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<vector<pair<int,int>>> chain;

    DSU(int _n){
        n = _n;
        parent.resize(n+1); sz.resize(n+1, 1);
        chain.resize(n+1);
        for(int i = 0; i<=n; ++i) {
            parent[i] = i;
            chain[i].push_back(make_pair(-1, 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, int w){
        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];

            chain[v][0].first = w;
            for(pair<int, int> i: chain[v])
                chain[u].push_back(i);
            return true;
        }
        return false;
    }

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

const int INF = 1e9 + 69;

struct SegmentTree{
    int n;
    vector<int> a;

    SegmentTree(int _n){
        n = _n;
        a.resize(n * 2 + 2, -INF);
    }

    void update(int i, int v){
        i += n; if (!maximize(a[i], v)) return;
        while(i > 1){
            i >>= 1;
            a[i] = max(a[i * 2], a[i * 2 + 1]);
        }
    }

    int get(int l, int r){
        l += n; r += n + 1;
        int ans = -INF;
        while(l < r){
            if (l & 1) maximize(ans, a[l++]);
            if (r & 1) maximize(ans, a[--r]);
            l >>= 1; r >>= 1;
        }
        return ans;
    }
};

void solve(){
    int n, m, q; cin >> n >> m >> q;
    vector<array<int, 3>> edges(m);
    for(int i = 0; i < m; ++i) cin >> edges[i][1] >> edges[i][2] >> edges[i][0];

    sort(ALL(edges));

    DSU mst(n);
    for(auto i: edges){
        mst.join_set(i[1], i[2], i[0]);
    }

    for(int i = 1; i <= n; ++i) mst.join_set(1, i, INF);

    vector<pair<int,int>> chain = mst.chain[mst.find_set(1)];

    SegmentTree st(n-1);
    vector<int> pos(n+1);
    for(int i = 0; i < n; ++i){
        pos[chain[i].second] = i;
        if (i > 0) st.update(i, chain[i].first);
    }

    while(q--){
        int u, v, w; cin >> u >> v >> w;
        u = pos[u], v = pos[v];
        if (u > v) swap(u, v);

        if (st.get(u+1, v) <= w) cout << "TAIP\n";
        else cout << "NE\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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