結果

問題 No.382 シャイな人たち (2)
ユーザー kopricky
提出日時 2018-12-30 07:54:29
言語 C++14
(gcc 8.3.0)
結果
AC  
実行時間 2,630 ms
コード長 12,553 Byte
コンパイル時間 2,511 ms
使用メモリ 1,744 KB
最終ジャッジ日時 2019-11-20 06:09:50

テストケース

テストケース表示
入力 結果 実行時間
使用メモリ
input-00 AC 2,630 ms
1,720 KB
input-01 AC 2,529 ms
1,716 KB
input-02 AC 2,246 ms
1,720 KB
input-03 AC 2,272 ms
1,712 KB
input-04 AC 2,198 ms
1,716 KB
input-05 AC 2,322 ms
1,708 KB
input-06 AC 1,974 ms
1,728 KB
input-07 AC 2,355 ms
1,712 KB
input-08 AC 2,025 ms
1,724 KB
input-09 AC 2,120 ms
1,704 KB
input-10 AC 2,113 ms
1,728 KB
input-11 AC 1,991 ms
1,744 KB
input-12 AC 2,154 ms
1,704 KB
input-13 AC 2,134 ms
1,708 KB
input-14 AC 2,349 ms
1,708 KB
input-15 AC 2,265 ms
1,700 KB
input-16 AC 2,111 ms
1,724 KB
input-17 AC 1,805 ms
1,704 KB
input-18 AC 2,230 ms
1,716 KB
input-19 AC 2,087 ms
1,732 KB
input-a0 AC 4 ms
1,528 KB
テストケース一括ダウンロード

ソースコード

diff #
#include <bits/stdc++.h>
#define ll long long
#define INF 1000000005
#define MOD 1000000007
#define EPS 1e-10
#define rep(i,n) for(int i=0;i<(int)(n);++i)
#define rrep(i,n) for(int i=(int)(n)-1;i>=0;--i)
#define srep(i,s,t) for(int i=(int)(s);i<(int)(t);++i)
#define each(a,b) for(auto& (a): (b))
#define all(v) (v).begin(),(v).end()
#define len(v) (int)(v).size()
#define zip(v) sort(all(v)),v.erase(unique(all(v)),v.end())
#define cmx(x,y) x=max(x,y)
#define cmn(x,y) x=min(x,y)
#define fi first
#define se second
#define pb push_back
#define show(x) cout<<#x<<" = "<<(x)<<endl
#define spair(p) cout<<#p<<": "<<p.fi<<" "<<p.se<<endl
#define sar(a,n) cout<<#a<<":";rep(pachico,n)cout<<" "<<a[pachico];cout<<endl
#define svec(v) cout<<#v<<":";rep(pachico,v.size())cout<<" "<<v[pachico];cout<<endl
#define svecp(v) cout<<#v<<":";each(pachico,v)cout<<" {"<<pachico.first<<":"<<pachico.second<<"}";cout<<endl
#define sset(s) cout<<#s<<":";each(pachico,s)cout<<" "<<pachico;cout<<endl
#define smap(m) cout<<#m<<":";each(pachico,m)cout<<" {"<<pachico.first<<":"<<pachico.second<<"}";cout<<endl

using namespace std;

typedef pair<int,int> P;
typedef pair<ll,ll> pll;
typedef vector<int> vi;
typedef vector<vi> vvi;
typedef vector<ll> vl;
typedef vector<vl> vvl;
typedef vector<double> vd;
typedef vector<P> vp;
typedef vector<string> vs;

const int MAX_N = 100005;

template<typename T> class ListIterator;

// 常に不変なイテレーターが欲しい場合に別のコンテナにこれをかぶせる形で使うとよい
template<typename T>
class List {
public:
    using iterator = ListIterator<T>;
    
    int N, sz;
    vector<int> prev, next;
private:
	vector<T> container;
	friend ListIterator<T>;
    
public:
    // 添字 next_index の要素の前に添字 now_index の要素の iterator を挿入
    iterator insert(int next_index, int now_index){
        sz++;
        prev[now_index] = prev[next_index], next[now_index] = next_index;
        next[prev[next_index]] = now_index, prev[next_index] = now_index;
        return iterator(this, now_index);
    }
    // 添字 index の値を削除 → 次の要素の iterator を返す
    iterator erase(int index){
        sz--;
        next[prev[index]] = next[index], prev[next[index]] = prev[index];
        return iterator(this, next[index]);
    }
	
public:
	friend ostream& operator<< (ostream& os, List& ls){
		for(auto& val : ls){
			os << val << ' ';
		}
        return os;
    }
	const T& operator[](size_t index) const {
		return container[index];
	}
	T& operator[](size_t index){
		return container[index];
	}
	size_t size(){
		return sz;
	}
	bool empty(){
		return size() == 0;
	}
    T& front(){
        return container[next[N]];
    }
    T& back(){
        return container[prev[N]];
    }
	iterator begin(){
		return iterator(this, next[N]);
	}
	iterator end(){
		return iterator(this, N);
	}
	iterator insert(const iterator& itr, int index){
        return insert(itr.index, index);
    }
    iterator erase(const iterator& itr){
        return erase(itr.index);
    }
	iterator push_back(){
		return insert(N, prev[N]+1);
	}
	void pop_back(){
		erase(prev[N]);
	}
	void clear(){
        N = sz = 0;
		prev = next = {0};
        container.clear();
	}
	
public:
	List() : N(0), sz(0), prev({0}), next({0}){}
	List(int _N) : container(_N){
		build();
	}
	List(int _N, T val) : container(_N, val){
		build();
	}
	List(const List& ls):
		N(ls.N), sz(ls.sz), prev(ls.prev), next(ls.next), container(ls.container){}
    List(const vector<T>& vec) : container(vec){
        build();
    }
    List& operator=(const List& ls){
        container = ls.container;
        build();
        return *this;
    }
    List& operator=(const vector<T>& vec){
        container = vec;
        build();
        return *this;
    }
    List& operator=(const List&& ls) noexcept {
        container = ls.container;
        build();
        return *this;
    }
	List(initializer_list<T> vals) : container(vals.begin(), vals.end()){
		build();
	}
	iterator push_back(T val){
        N++, sz++;
        prev.push_back(N-1), prev[0] = N;
        next.back() = N, next.push_back(0);
		container.push_back(val);
        return iterator(this, N-1);
	}
	void build(){
		N = sz = (int)container.size();
		prev.resize(N+1), next.resize(N+1);
		iota(prev.begin(), prev.end(), -1), iota(next.begin(), next.end(), 1);
        prev[0] = N, next[N] = 0;
	}
};

template<typename T>
class ListIterator : public std::iterator<bidirectional_iterator_tag, T, ptrdiff_t, T*, T&>{
private:
	friend List<T>;
	List<T>* ls_ptr;
    int index;

private:
	ListIterator(List<T>* ls, int _index) : ls_ptr(ls), index(_index){}
	
public:
    ListIterator(){}
	ListIterator(const ListIterator& itr){
		ls_ptr = itr.ls_ptr, index = itr.index;
	}
    operator int() const noexcept { return index; }
    ListIterator& operator=(const ListIterator& itr) & {
        ls_ptr = itr.ls_ptr, index = itr.index;
        return *this;
    }
    ListIterator& operator=(ListIterator&& itr) & noexcept {
        ls_ptr = itr.ls_ptr, index = itr.index;
        return *this;
    }
	T& operator*() const {
		return ls_ptr->container[index];
	}
	T* operator->() const {
		return &ls_ptr->container[index];
	}
	ListIterator& operator++(){
		index = ls_ptr->next[index];
		return *this;
	}
	ListIterator operator++(int){
		ListIterator res = *this;
		index = ls_ptr->next[index];
		return res;
	}
	ListIterator& operator--(){
		index = ls_ptr->prev[index];
		return *this;
	};
	ListIterator operator--(int){
		ListIterator res = *this;
		index = ls_ptr->prev[index];
		return res;
	};
	bool operator==(const ListIterator& itr) const {
		return !(*this != itr);
	};
	bool operator!=(const ListIterator& itr) const {
		return this->ls_ptr != itr.ls_ptr || this->index != itr.index;
	}
	friend void swap(const ListIterator<T>& itr1, const ListIterator<T>& itr2){
		ListIterator<T> tmp = itr1;
		itr1 = itr2, itr2 = itr1;
	};
};

// 多重辺はなし
class MIS {
private:
    struct edge {
        int to, rev;
    };
    struct info {
        // from から to 番目に出ている辺が(を) next の前から消えた(に入れる)
        int from, to, next;
        info(int ag1, int ag2, int ag3) : 
            from(ag1), to(ag2), next(ag3){}
    };
    int V;
    vector<List<edge> > G;
    List<int> rem_ver;
    vector<int> cand, deg, is_rem;
    vector<vector<info> > edge_info;
    set<int> not_use_ver;

    bool finish(){
        return (int)cand.size() + (int)rem_ver.size() <= ans_size;
    }
    bool erase(int u, bool use, bool alr_use, int& add_size, vector<pair<int, int> >& erase_ver){
        erase_ver.emplace_back(u, rem_ver.erase(u));
        is_rem[u] = 0;
        if(use && !alr_use){
            add_size++, cand.push_back(u);
        }else{
            if(finish()) return false;
        }
        for(auto& e : G[u]){
            edge_info[u].emplace_back(e.to, e.rev, G[e.to].erase(e.rev));
            // cout << "ERASE " << u << " " << e.to << endl;
            deg[e.to]--;
            if(deg[e.to] == 0){
                erase_ver.emplace_back(e.to, rem_ver.erase(e.to));
                // cout << "ERASE " << e.to << endl;
                is_rem[e.to] = 0;
            }
            if(use){
                if(deg[e.to] > 0){
                    not_use_ver.insert(e.to);
                }
            }else if(not_use_ver.count(e.to) == 0 && deg[e.to] == 0){
                add_size++, cand.push_back(e.to);
            }
        }
        return !finish();
    }
    bool erase_rec_set(set<int>& st, bool flag, int& add_size, vector<pair<int, int> >& erase_ver){
        while(!st.empty()){
            int v = *st.begin();
            st.erase(v);
            if(deg[v] == 0) continue;
            if(!erase(v, flag, flag, add_size, erase_ver)) return false;
        }
        return true;
    }
    bool erase_rec(int u, bool use, int& add_size, vector<pair<int, int> >& erase_ver){
        // show((int)not_use_ver.size());
        if(!erase(u, use, false, add_size, erase_ver)){
            not_use_ver.clear();
            return false;
        }
        while(!not_use_ver.empty()){
            if(!erase_rec_set(not_use_ver, false, add_size, erase_ver)){
                not_use_ver.clear();
                return false;
            }
        }
        return true;
    }
    bool preprocessing(int& add_size, vector<pair<int, int> >& erase_ver){
        for(int u : rem_ver){
            if(is_rem[u] == 1 && deg[u] <= 1 && not_use_ver.count(u) == 0){
                if(!erase_rec(u, true, add_size, erase_ver)) return false;
            }
        }
        return true;
    }
    void postprocessing(int& add_size, vector<pair<int, int> >& erase_ver){
        for(int i = 0; i < add_size; i++){
            cand.pop_back();
        }
        for(int i = (int)erase_ver.size() - 1; i >= 0; i--){
            auto& p = erase_ver[i];
            while(!edge_info[p.first].empty()){
                auto& dat = edge_info[p.first].back();
                G[dat.from].insert(dat.next, dat.to), deg[dat.from]++;
                // cout << "ADD " << p.first << " " << dat.from << endl;
                edge_info[p.first].pop_back();
            }
            rem_ver.insert(p.second, p.first);
            is_rem[p.first] = 1;
            // cout << "ADD " << p.first << endl;
        }
    }
    bool check(){
        if(rem_ver.empty()){
            if((int)cand.size() > ans_size){
                ans_size = (int)cand.size(), ans_set = cand;
            }
            return false;
        }
        return true;
    }
    void transition(int next_ver, bool use){
        int pl_add_size = 0;
        vector<pair<int, int> > pl_erase_ver;
        // cout << next_ver << " " << use << endl;
        // svec(cand);
        // show(rem_ver);
        // show(next_ver);
        // svec(cand);
        if(!erase_rec(next_ver, use, pl_add_size, pl_erase_ver)){
            return postprocessing(pl_add_size, pl_erase_ver);
        }
        // show("FINISH");
        // show(pl_add_size);
        // svec(cand);
        // show(rem_ver.s/ize());
        // show(rem_ver);
        // show(next_ver);
        if(check()){
            judge();
        }
        return postprocessing(pl_add_size, pl_erase_ver);
    }
    int find_max_degree_ver(){
        // 次数の高い頂点から探索する
        int max_deg = -1, next_ver = -1;
        for(int v : rem_ver){
            if(deg[v] > max_deg) max_deg = deg[v], next_ver = v;
        }
        return next_ver;
    }
    void judge(){
        int add_size = 0;
        vector<pair<int, int> > erase_ver;
        // show(rem_ver);
        if(!preprocessing(add_size, erase_ver)) return postprocessing(add_size, erase_ver);
        if(!check()) return postprocessing(add_size, erase_ver);
        int next_ver = find_max_degree_ver();
        // 使う場合
        transition(next_ver, true);
        // 使わない場合
        if(deg[next_ver] > 1 && (int)cand.size() + (int)rem_ver.size() > ans_size + 1){
            // show("OK");
            // svec(cand);
            transition(next_ver, false);
        }
        return postprocessing(add_size, erase_ver);
    }
public:
    vector<int> ans_set;
    int ans_size;
    
    MIS(int node_size) :
        V(node_size), G(V), rem_ver(V), deg(V, 0), is_rem(V, 1), edge_info(V), ans_size(0){
            for(int i = 0; i < V; i++) rem_ver[i] = i;
    }
    void add_edge(int u, int v){
        G[u].push_back((edge){v, (int)G[v].size()});
        G[v].push_back((edge){u, (int)G[u].size() - 1});
        deg[u]++, deg[v]++;
    }
    int solve(){
        judge();
        return ans_size;
    }
};

int main()
{
    cin.tie(0);
    ios::sync_with_stdio(false);
    ll S;
    cin >> S;
    S = S * 12345LL % 1000003LL;
    int n = (S % 120) + 2, m = 0;
    MIS mis(n);
    S = S * 12345LL % 1000003LL;
    ll P = S;
    rep(i,n){
        srep(j,i+1,n){
            S = S * 12345LL % 1000003LL;
            if(S >= P){
                mis.add_edge(i, j);
                m++;
            }
        }
    }
    if(m == 0){
        cout << "-1\n";
    }else{
        cout << mis.solve() + 1 << "\n";
        for(int i = 0; i < len(mis.ans_set)-1; i++){
            cout << mis.ans_set[i] + 1 << " ";
        }
        cout << mis.ans_set.back() + 1 << "\n";
    }
    // int n, m;
    // cin >> n >> m;
    // MIS mis(n);
    // rep(i,m){
    //     int a,b;
    //     cin >> a >> b;
    //     mis.add_edge(a-1, b-1);
    // }
    // mis.solve();
    // svec(mis.ans_set);
    return 0;
}
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