結果

問題 No.1054 Union add query
ユーザー minatominato
提出日時 2020-11-16 16:35:15
言語 C++17(gcc12)
(gcc 12.3.0 + boost 1.87.0)
結果
AC  
実行時間 474 ms / 2,000 ms
コード長 8,411 bytes
コンパイル時間 15,238 ms
コンパイル使用メモリ 301,548 KB
最終ジャッジ日時 2025-01-16 01:11:21
ジャッジサーバーID
（参考情報） 		judge4 / judge4
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ファイルパターン 結果
sample AC * 3
other AC * 8
権限があれば一括ダウンロードができます

ソースコード

diff # 

#ifdef ONLINE_JUDGE
#pragma GCC target("avx2,avx")
#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")
#endif
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using ull = unsigned long long;
using i128 = __int128_t;
using pii = pair<int, int>;
using pll = pair<long long, long long>;
#define rep(i, n) for (int i = 0; i < (n); i++)
#define rrep(i, n) for (int i = int(n) - 1; i >= 0; i--)
#define all(x) (x).begin(), (x).end()
constexpr char ln = '\n';
istream& operator>>(istream& is, __int128_t& x) {
    x = 0;
    string s;
    is >> s;
    int n = int(s.size()), it = 0;
    if (s[0] == '-') it++;
    for (; it < n; it++) x = (x * 10 + s[it] - '0');
    if (s[0] == '-') x = -x;
    return is;
}
ostream& operator<<(ostream& os, __int128_t x) {
    if (x == 0) return os << 0;
    if (x < 0) os << '-', x = -x;
    deque<int> deq;
    while (x) deq.emplace_front(x % 10), x /= 10;
    for (int e : deq) os << e;
    return os;
}
template<class T1, class T2>
ostream& operator<<(ostream& os, const pair<T1, T2>& p) {
    return os << "(" << p.first << ", " << p.second << ")";
}
template<class T> 
ostream& operator<<(ostream& os, const vector<T>& v) {
    os << "{";
    for (int i = 0; i < int(v.size()); i++) {
        if (i) os << ", ";
        os << v[i];
    }
    return os << "}";
}
template<class Container> inline int SZ(Container& v) { return int(v.size()); }
template<class T> inline void UNIQUE(vector<T>& v) { v.erase(unique(v.begin(), v.end()), v.end()); }
template<class T1, class T2> inline bool chmax(T1& a, T2 b) { if (a < b) {a = b; return true ;} return false ;}
template<class T1, class T2> inline bool chmin(T1& a, T2 b) { if (a > b) {a = b; return true ;} return false ;}
inline int topbit(int x) { return x == 0 ? -1 : 31 - __builtin_clz(x); }
inline int topbit(long long x) { return x == 0 ? -1 : 63 - __builtin_clzll(x); }
inline int botbit(int x) { return x == 0 ? 32 : __builtin_ctz(x); }
inline int botbit(long long x) { return x == 0 ? 64 : __builtin_ctzll(x); }
inline int popcount(int x) { return __builtin_popcount(x); }
inline int popcount(long long x) { return __builtin_popcountll(x); }
inline int kthbit(long long x, int k) { return (x>>k) & 1; }
inline constexpr long long TEN(int x) { return x == 0 ? 1 : TEN(x-1) * 10; }
inline void print() { cout << "\n"; }
template<class T>
inline void print(const vector<T>& v) {
    for (int i = 0; i < int(v.size()); i++) {
        if (i) cout << " ";
        cout << v[i];
    }
    print();
}
template<class T, class... Args>
inline void print(const T& x, const Args& ... args) {
    cout << x << " ";
    print(args...);
}
#ifdef MINATO_LOCAL
inline void debug_out() { cerr << endl; }
template <class T, class... Args>
inline void debug_out(const T& x, const Args& ... args) {
    cerr << " " << x;
    debug_out(args...);
}
#define debug(...) cerr << __LINE__ << " : [" << #__VA_ARGS__ << "] =", debug_out(__VA_ARGS__)
#define dump(x) cerr << __LINE__ << " : " << #x << " = " << (x) << endl
#else
#define debug(...) (void(0))
#define dump(x) (void(0))
#endif
struct fast_ios { fast_ios() { cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(20); }; } fast_ios_;
////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////

struct mergetree {
    using pii = pair<int, int>;
  public:

    mergetree() {}
    mergetree(int n) : n(n) {}

    vector<pii> build(const vector<int>& type, const vector<pii>& vs) {
        q = int(type.size());

        parent_or_size.assign(n,-1);
        root.resize(n);
        iota(root.begin(),root.end(),0);
        vid.resize(n);
        child.resize(q);
        range.resize(n+q);
        vector<int> idx(q,-1);
        for (int i = 0; i < q; i++) {
            if (type[i] == 1) {
                auto[a,b] = vs[i];
                if (same(a,b)) continue;
                child[i] = pii(root[leader(a)],root[leader(b)]);
                root[merge(a,b)] = n + i;
            } else {
                int x = vs[i].first;
                idx[i] = root[leader(x)];
            }
        }

        int pos = 0;
        for (int i = 0; i < n; i++) {
            if (leader(i) == i) {
                dfs(root[i],pos);
            }
        }

        vector<pii> ret(q);
        for (int i = 0; i < q; i++) {
            if (~idx[i]) {
                ret[i] = range[idx[i]];
            }
        }

        return ret;
    }

    int operator[](int i) { return vid[i]; }

  private:
    int n,q;
    // root node: -1 * component size
    // otherwise: parent
    vector<int> parent_or_size,root,vid;
    vector<pii> child,range;

    void dfs(int v, int& pos) {
        int l = pos;
        if (v < n) {
            vid[v] = pos++;
        } else {
            dfs(child[v-n].first,pos);
            dfs(child[v-n].second,pos);
        }
        int r = pos;
        range[v] = pii(l,r);
    };

    int merge(int a, int b) {
        assert(0 <= a && a < n);
        assert(0 <= b && b < n);
        int x = leader(a), y = leader(b);
        if (x == y) return x;
        if (-parent_or_size[x] < -parent_or_size[y]) swap(x, y);
        parent_or_size[x] += parent_or_size[y];
        parent_or_size[y] = x;
        return x;
    }

    bool same(int a, int b) {
        assert(0 <= a && a < n);
        assert(0 <= b && b < n);
        return leader(a) == leader(b);
    }

    int leader(int a) {
        assert(0 <= a && a < n);
        if (parent_or_size[a] < 0) return a;
        return parent_or_size[a] = leader(parent_or_size[a]);
    }
};

template<class T, class U, class G, class H>
struct DualSegmentTree {
  private:
    G mapping;
    H composition;
    U id;
    int _n, size ,log;
    vector<T> node;
    vector<U> lazy;

  public:
    DualSegmentTree() {}
    DualSegmentTree(const G& mapping, const H& composition, U id, const vector<T>& v) 
                    : mapping(mapping), composition(composition), id(id), _n(int(v.size())), log(0) {
                        while ((1<<log) < _n) log++;
                        size = 1 << log;
                        node.resize(size);
                        for (int i = 0; i < _n; i++) node[i] = v[i];
                        lazy = vector<U>(size, id);
                    }
    
    void set(int p, T x) {
        assert(0 <= p && p < _n);
        p += size;
        for (int i = log; i >= 1; i--) push(p >> i);
        node[p-size] = x;
    }

    void apply(int p, U val) {
        assert(0 <= p && p < _n);
        p += size;
        for (int i = log; i >= 1; i--) push(p >> i);
        node[p-size] = val == id ? node[p-size] : mapping(node[p-size], val);
    }

    void apply(int l, int r, U val) {
        if (l >= r) return;

        l += size;
        r += size;

        for (int i = log; i >= 1; i--) {
            if (((l >> i) << i) != l) push(l >> i);
            if (((r >> i) << i) != r) push((r - 1) >> i);
        }

        {
            int l2 = l, r2 = r;
            while (l < r) {
                if (l & 1) all_apply(l++, val);
                if (r & 1) all_apply(--r, val);
                l >>= 1;
                r >>= 1;
            }
            l = l2;
            r = r2;
        }
    }

    T operator[](int p) {
        assert(0 <= p && p < _n);
        p += size;
        for (int i = log; i >= 1; i--) push(p >> i);
        return node[p-size];
    }

  private:

    void all_apply(int k, U val) {
        if (k >= size) node[k-size] = val == id ? node[k-size] : mapping(node[k-size], val);
        else lazy[k] = composition(lazy[k], val);
    }

    void push(int k) {
        if (lazy[k] == id) return;
        all_apply(2 * k, lazy[k]);
        all_apply(2 * k + 1, lazy[k]);
        lazy[k] = id;
    }  
};

int main() {
    int N,Q; cin >> N >> Q;
    vector<int> T(Q);
    vector<pii> vs(Q);
    rep(i,Q) {
        cin >> T[i] >> vs[i].first >> vs[i].second;
        vs[i].first--;
        if (T[i] == 1) vs[i].second--;
    }

    auto f=[](ll a, ll b) {return a+b;};
    constexpr ll id = 0;
    vector<ll> arr(N);
    DualSegmentTree seg(f,f,id,arr);

    mergetree G(N);
    auto ret = G.build(T,vs);
    rep(i,Q) {
        if (T[i]==2) {
            auto[l,r] = ret[i];
            seg.apply(l,r,vs[i].second);
        } 
        if (T[i]==3) {
            int k = G[vs[i].first];
            cout << seg[k] << ln;
        }
    }
}
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