#866571 (C++17) No.2292 Interval Union Find

提出ソース

結果

問題	No.2292 Interval Union Find
ユーザー	dyktr_06
提出日時	2023-05-05 22:36:59
言語	C++17 (gcc 12.3.0 + boost 1.83.0)
結果	AC
実行時間	300 ms / 5,000 ms
コード長	11,733 bytes
コンパイル時間	4,783 ms
コンパイル使用メモリ	280,724 KB
実行使用メモリ	33,064 KB
最終ジャッジ日時	2024-11-23 09:46:03
合計ジャッジ時間	17,933 ms
ジャッジサーバーID （参考情報）	judge4 / judge5

このコードへのチャレンジ
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テストケース

テストケース表示

入力	結果	実行時間実行使用メモリ
testcase_00	AC	2 ms 5,248 KB
testcase_01	AC	3 ms 5,248 KB
testcase_02	AC	3 ms 5,248 KB
testcase_03	AC	3 ms 5,248 KB
testcase_04	AC	153 ms 19,508 KB
testcase_05	AC	192 ms 19,508 KB
testcase_06	AC	145 ms 19,504 KB
testcase_07	AC	164 ms 19,124 KB
testcase_08	AC	195 ms 19,552 KB
testcase_09	AC	200 ms 19,508 KB
testcase_10	AC	190 ms 19,512 KB
testcase_11	AC	182 ms 19,508 KB
testcase_12	AC	195 ms 19,508 KB
testcase_13	AC	172 ms 19,508 KB
testcase_14	AC	175 ms 19,384 KB
testcase_15	AC	181 ms 19,508 KB
testcase_16	AC	174 ms 19,504 KB
testcase_17	AC	194 ms 19,636 KB
testcase_18	AC	203 ms 33,064 KB
testcase_19	AC	300 ms 33,064 KB
testcase_20	AC	300 ms 33,064 KB
testcase_21	AC	257 ms 27,040 KB
testcase_22	AC	257 ms 27,040 KB
testcase_23	AC	259 ms 27,036 KB
testcase_24	AC	262 ms 27,164 KB
testcase_25	AC	261 ms 27,040 KB
testcase_26	AC	259 ms 27,040 KB
testcase_27	AC	256 ms 27,040 KB
testcase_28	AC	256 ms 27,044 KB
testcase_29	AC	252 ms 27,040 KB
testcase_30	AC	257 ms 27,164 KB
testcase_31	AC	251 ms 26,912 KB
testcase_32	AC	252 ms 27,036 KB
testcase_33	AC	252 ms 26,996 KB
testcase_34	AC	259 ms 26,964 KB
testcase_35	AC	256 ms 27,044 KB
testcase_36	AC	251 ms 27,168 KB
testcase_37	AC	257 ms 26,916 KB
testcase_38	AC	272 ms 27,040 KB
testcase_39	AC	274 ms 27,040 KB
testcase_40	AC	257 ms 27,044 KB
testcase_41	AC	71 ms 19,508 KB
testcase_42	AC	75 ms 19,384 KB
testcase_43	AC	84 ms 19,508 KB
testcase_44	AC	110 ms 19,640 KB
testcase_45	AC	112 ms 19,504 KB
testcase_46	AC	117 ms 19,504 KB
testcase_47	AC	133 ms 19,504 KB

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ソースコード

raw source code

#include <bits/stdc++.h>
#include <atcoder/all>

using namespace std;
using namespace atcoder;

#define overload4(_1, _2, _3, _4, name, ...) name
#define rep1(n) for(int i = 0; i < (int)(n); ++i)
#define rep2(i, n) for(int i = 0; i < (int)(n); ++i)
#define rep3(i, a, b) for(int i = (a); i < (int)(b); ++i)
#define rep4(i, a, b, c) for(int i = (a); i < (int)(b); i += (c))
#define rep(...) overload4(__VA_ARGS__, rep4, rep3, rep2, rep1)(__VA_ARGS__)

#define rrep(i,n) for(int i = (int)(n) - 1; i >= 0; --i)
#define ALL(a) a.begin(), a.end()
#define Sort(a) sort(a.begin(), a.end())
#define RSort(a) sort(a.rbegin(), a.rend())

typedef long long int ll;
typedef unsigned long long ul;
typedef long double ld;
typedef vector<int> vi;
typedef vector<long long> vll;
typedef vector<char> vc;
typedef vector<string> vst;
typedef vector<double> vd;
typedef vector<long double> vld;
typedef pair<long long, long long> P;

template<class T> long long sum(const T& a){ return accumulate(a.begin(), a.end(), 0LL); }
template<class T> auto min(const T& a){ return *min_element(a.begin(), a.end()); }
template<class T> auto max(const T& a){ return *max_element(a.begin(), a.end()); }

const long long MINF = 0x7fffffffffff;
const long long INF = 0x1fffffffffffffff;
const long long MOD = 1000000007;
const long double EPS = 1e-9;
const long double PI = acos(-1);
 
template<class T> inline bool chmax(T& a, T b) { if (a < b) { a = b; return 1; } return 0; }
template<class T> inline bool chmin(T& a, T b) { if (a > b) { a = b; return 1; } return 0; }

template<typename T1, typename T2> istream &operator>>(istream &is, pair<T1, T2> &p){ is >> p.first >> p.second; return is; }
template<typename T1, typename T2> ostream &operator<<(ostream &os, const pair<T1, T2> &p){ os << "(" << p.first << ", " << p.second << ")"; return os; }
template<typename T> istream &operator>>(istream &is, vector<T> &v){ for(T &in : v) is >> in; return is; }
template<typename T> ostream &operator<<(ostream &os, const vector<T> &v){ for(int i = 0; i < (int) v.size(); ++i){ os << v[i] << (i + 1 != (int) v.size() ? " " : ""); } return os; }
template <typename T, typename S> ostream &operator<<(ostream &os, const map<T, S> &mp){ for(auto &[key, val] : mp){ os << key << ":" << val << " "; } return os; }
template <typename T> ostream &operator<<(ostream &os, const set<T> &st){ auto itr = st.begin(); for(int i = 0; i < (int)st.size(); ++i){ os << *itr << (i + 1 != (int)st.size() ? " " : ""); itr++; } return os; }
template <typename T> ostream &operator<<(ostream &os, const multiset<T> &st){ auto itr = st.begin(); for(int i = 0; i < (int)st.size(); ++i){ os << *itr << (i + 1 != (int)st.size() ? " " : ""); itr++; } return os; }
template <typename T> ostream &operator<<(ostream &os, queue<T> q){ while(q.size()){ os << q.front() << " "; q.pop(); } return os; }
template <typename T> ostream &operator<<(ostream &os, deque<T> q){ while(q.size()){ os << q.front() << " "; q.pop_front(); } return os; }
template <typename T> ostream &operator<<(ostream &os, stack<T> st){ while(st.size()){ os << st.top() << " "; st.pop(); } return os; }
template <class T, class Container, class Compare> ostream &operator<<(ostream &os, priority_queue<T, Container, Compare> pq){ while(pq.size()){ os << pq.top() << " "; pq.pop(); } return os; }

template<class T, class U> inline T vin(T& vec, U n) { vec.resize(n); for(int i = 0; i < (int) n; ++i) cin >> vec[i]; return vec; }
template<class T> inline void vout(T vec, string s = "\n"){ for(auto x : vec) cout << x << s; }
template<class... T> void in(T&... a){ (cin >> ... >> a); }
void out(){ cout << '\n'; }
template<class T, class... Ts> void out(const T& a, const Ts&... b){ cout << a; (cout << ... << (cout << ' ', b)); cout << '\n'; }
template<class T, class U> void inGraph(vector<vector<T>>& G, U n, U m, bool directed = false){ G.resize(n); for(int i = 0; i < m; ++i){ int a, b; cin >> a >> b; a--, b--; G[a].push_back(b); if(!directed) G[b].push_back(a); } }

template <typename T>
struct DynamicUnionFind{
    unordered_map<T, T> par, siz;
 
    DynamicUnionFind(){
    }
 
    void init(const T &x){
        par[x] = x;
        siz[x] = 1;
    }
 
    T root(const T &x){
        if(par.find(x) == par.end()){
            init(x);
        }
        if(par[x] == x) return x;
        return par[x] = root(par[x]);
    }
 
    void unite(const T &x, const T &y){
        if(par.find(x) == par.end()){
            init(x);
        }
        if(par.find(y) == par.end()){
            init(y);
        }
        int rx = root(x);
        int ry = root(y);
        if(size(rx) < size(ry)) swap(rx, ry);
        par[rx] = ry;
        siz[ry] += siz[rx];
    }
 
    bool same(const T &x, const T &y){
        int rx = root(x);
        int ry = root(y);
        return rx == ry;
    }
 
    T size(const T &x){
        if(par.find(x) == par.end()){
            init(x);
        }
        return siz[root(x)];
    }
};

template <typename T>
struct BinaryIndexedTree{
    int N;
    vector<T> BIT;
    BinaryIndexedTree(const int &N): N(N), BIT(N + 1, 0){
    }

    T get(int i){
        return sum(i + 1) - sum(i);
    }

    void add(int i, T x){
        i++;
        while(i <= N){
            BIT[i] += x;
            i += i & -i;
        }
    }

    T sum(int i) const {
        T ans = 0;
        while(i > 0){
            ans += BIT[i];
            i -= i & -i;
        }
        return ans;
    }

    T sum(int L, int R) const {
        return sum(R) - sum(L);
    }

    int lower_bound(T x) const {
        if(x <= 0){
            return 0;
        }else{
            int v = 0, r = 1;
            while(r < N) r = r << 1;
            for(int len = r; len > 0; len = len >> 1){
                if(v + len < N && BIT[v + len] < x){
                    x -= BIT[v + len];
                    v += len;
                }
            }
            return v;
        }
    }

    int upper_bound(T x) const {
        if(x < 0){
            return 0;
        }else{
            int v = 0, r = 1;
            while(r <= N) r = r << 1;
            for(int len = r; len > 0; len = len >> 1){
                if(v + len <= N && BIT[v + len] <= x){
                    x -= BIT[v + len];
                    v += len;
                }
            }
            return v;
        }
    }
};

template <typename T>
struct compress{
    vector<T> sorted, compressed;

    compress(const vector<T>& vec){
        int n = vec.size();
        compressed.resize(n);
        for(T x : vec){
            sorted.emplace_back(x);
        }
        sort(sorted.begin(), sorted.end());
        sorted.erase(unique(sorted.begin(), sorted.end()), sorted.end());
        for(int i = 0; i < n; ++i){
            compressed[i] = lower_bound(sorted.begin(), sorted.end(), vec[i]) - sorted.begin();
        }
    }

    int get(const T& x) const{
        return lower_bound(sorted.begin(), sorted.end(), x) - sorted.begin();
    }

    T inv(const T& x) const{
        return sorted[x];
    }

    size_t size() const{
        return sorted.size();
    }

    vector<T> getCompressed() const{
        return compressed;
    }
};

// https://mugen1337.github.io/procon/DataStructure/RangeSet.hpp
template<typename T>
struct RangeSet{
    set<pair<T,T>> st;
    T TINF;
 
    RangeSet(){
        TINF=numeric_limits<T>::max()/2;
        st.emplace(TINF,TINF);
        st.emplace(-TINF,-TINF);
    }
    // [l,r] covered?
    bool covered(T l,T r){
        assert(l<=r);
        auto ite=prev(st.lower_bound({l+1,l+1}));
        return ite->first<=l and r<=ite->second;
    }
    bool covered(T x){
        return covered(x,x);
    }
    // [l, r]がカバーされているなら，その区間を返す. されていないなら[-TINF,-TINF]を返す
    pair<T,T> covered_by(T l,T r){
        assert(l<=r);
        auto ite=prev(st.lower_bound({l+1,l+1}));
        if(ite->first<=l and r<=ite->second) return *ite;
        return make_pair(-TINF,-TINF);
    }
    pair<T,T> covered_by(T x){
        return covered_by(x,x);
    }
    // insert[l,r], 増加量を返す
    T insert(T l,T r){
        assert(l<=r);
        auto ite=prev(st.lower_bound({l+1,l+1}));
        if(ite->first<=l and r<=ite->second) return T(0);
        T sum_erased=T(0);
        if(ite->first<=l and l<=ite->second+1){
            l=ite->first;
            sum_erased+=ite->second-ite->first+1;
            ite=st.erase(ite);
        }else ite=next(ite);
        while(r>ite->second){
            sum_erased+=ite->second-ite->first+1;
            ite=st.erase(ite);
        }
        if(ite->first-1<=r and r<=ite->second){
            sum_erased+=ite->second-ite->first+1;
            r=ite->second;
            st.erase(ite);
        }
        st.emplace(l,r);
        return r-l+1-sum_erased;
    }
    T insert(T x){
        return insert(x,x);
    }
    // erase [l,r], 減少量を返す
    T erase(T l,T r){
        assert(l<=r);
        auto ite=prev(st.lower_bound({l+1,l+1}));
        if(ite->first<=l and r<=ite->second){
            // 完全に1つの区間に包含されている
            if(ite->first<l)  st.emplace(ite->first,l-1);
            if(r<ite->second) st.emplace(r+1,ite->second);
            st.erase(ite);
            return r-l+1;
        }
 
        T ret=T(0);
        if(ite->first<=l and l<=ite->second){
            ret+=ite->second-l+1;// 消えた
            if(ite->first<l) st.emplace(ite->first,l-1);
            ite=st.erase(ite);// 次へ
        }else ite=next(ite);
        while(ite->second<=r){
            ret+=ite->second-ite->first+1;
            ite=st.erase(ite);
        }
        // 右端が区間の間にあるか
        if(ite->first<=r and r<=ite->second){
            ret+=r-ite->first+1;
            if(r<ite->second) st.emplace(r+1,ite->second);
            st.erase(ite);
        }
        return ret;
    }
    T erase(T x){
        return erase(x,x);
    }
    // number of range
    int size(){
        return (int)st.size()-2;
    }
    // mex [x,~)
    T mex(T x=0){
        auto ite=prev(st.lower_bound({x+1,x+1}));
        if(ite->first<=x and x<=ite->second) return ite->second+1;
        else return x;
    }
    void output(){
        cout<<"RangeSet : ";
        for(auto &p:st){
            if(p.first==-TINF or p.second==TINF) continue;
            cout<<"["<<p.first<<", "<<p.second<<"] ";
        }
        cout<<"\n";
    }
};

ll n, q;

void input(){
    in(n, q);
}

void solve(){
    vector<tuple<ll, ll, ll>> query(q);
    vll c;
    rep(i, q){
        ll t; in(t);
        if(t == 4){
            ll v; in(v);
            query[i] = {t, v, 0};
            c.push_back(v);
        }else{
            ll u, v; in(u, v);
            query[i] = {t, u, v};
            c.push_back(u);
            c.push_back(v);
        }
    }
    compress<ll> comp(c);
    ll m = comp.size();
    vll s(m + 1);
    rep(i, m){
        s[i + 1] = s[i] + comp.inv(i);
    }
    RangeSet<ll> rg;
    rep(i, q){
        auto [t, a, b] = query[i];
        a *= 2, b *= 2;
        ll x = comp.get(a), y = comp.get(b);
        if(t == 1){
            rg.insert(a, b);
        }else if(t == 2){
            rg.erase(a + 1, b - 1);
        }else if(t == 3){
            if(a == b){
                out(1);
                continue;
            }
            P r = rg.covered_by(a);
            if(r.first <= b && b <= r.second){
                out(1);
            }else{
                out(0);
            }
        }else{
            P r = rg.covered_by(a);
            // out(r);
            out(max(1LL, (r.second - r.first) / 2 + 1));
        }
    }
}

int main(){
    ios::sync_with_stdio(false);
    cin.tie(nullptr);
    cout << fixed << setprecision(20);
    
    input();
    solve();
}

yukicoder

結果

テストケース

ソースコード