#846790 (C++17) No.2236 Lights Out On Simple Graph

提出ソース

結果

問題	No.2236 Lights Out On Simple Graph
ユーザー	siganai
提出日時	2023-03-08 14:35:14
言語	C++17 (gcc 12.3.0 + boost 1.83.0)
結果	AC
実行時間	694 ms / 4,000 ms
コード長	7,372 bytes
コンパイル時間	2,651 ms
コンパイル使用メモリ	227,436 KB
実行使用メモリ	68,992 KB
最終ジャッジ日時	2024-09-18 02:32:19
合計ジャッジ時間	17,150 ms
ジャッジサーバーID （参考情報）	judge1 / judge3

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	1 ms 5,248 KB
testcase_01	AC	2 ms 5,376 KB
testcase_02	AC	1 ms 5,376 KB
testcase_03	AC	2 ms 5,376 KB
testcase_04	AC	281 ms 36,096 KB
testcase_05	AC	2 ms 5,376 KB
testcase_06	AC	518 ms 68,864 KB
testcase_07	AC	506 ms 36,096 KB
testcase_08	AC	2 ms 6,940 KB
testcase_09	AC	2 ms 6,944 KB
testcase_10	AC	97 ms 7,552 KB
testcase_11	AC	40 ms 6,940 KB
testcase_12	AC	110 ms 6,940 KB
testcase_13	AC	13 ms 6,944 KB
testcase_14	AC	271 ms 19,712 KB
testcase_15	AC	7 ms 6,944 KB
testcase_16	AC	16 ms 6,940 KB
testcase_17	AC	37 ms 6,940 KB
testcase_18	AC	2 ms 6,940 KB
testcase_19	AC	42 ms 7,424 KB
testcase_20	AC	301 ms 36,096 KB
testcase_21	AC	36 ms 7,552 KB
testcase_22	AC	529 ms 36,096 KB
testcase_23	AC	580 ms 68,864 KB
testcase_24	AC	375 ms 36,096 KB
testcase_25	AC	60 ms 7,424 KB
testcase_26	AC	431 ms 36,224 KB
testcase_27	AC	282 ms 36,224 KB
testcase_28	AC	334 ms 36,224 KB
testcase_29	AC	31 ms 7,424 KB
testcase_30	AC	593 ms 68,864 KB
testcase_31	AC	580 ms 68,864 KB
testcase_32	AC	694 ms 68,864 KB
testcase_33	AC	595 ms 68,864 KB
testcase_34	AC	579 ms 68,864 KB
testcase_35	AC	450 ms 19,712 KB
testcase_36	AC	416 ms 11,520 KB
testcase_37	AC	446 ms 36,224 KB
testcase_38	AC	303 ms 6,940 KB
testcase_39	AC	349 ms 6,944 KB
testcase_40	AC	2 ms 6,940 KB
testcase_41	AC	2 ms 6,944 KB
testcase_42	AC	138 ms 11,648 KB
testcase_43	AC	14 ms 6,944 KB
testcase_44	AC	322 ms 6,944 KB
testcase_45	AC	644 ms 68,992 KB
testcase_46	AC	2 ms 6,940 KB
testcase_47	AC	244 ms 19,712 KB
testcase_48	AC	2 ms 6,940 KB
testcase_49	AC	2 ms 6,944 KB
testcase_50	AC	8 ms 6,940 KB
testcase_51	AC	62 ms 11,520 KB
testcase_52	AC	10 ms 6,944 KB
testcase_53	AC	2 ms 6,944 KB
testcase_54	AC	223 ms 7,552 KB
testcase_55	AC	442 ms 11,648 KB
testcase_56	AC	316 ms 6,940 KB
testcase_57	AC	391 ms 7,424 KB
testcase_58	AC	335 ms 6,940 KB
testcase_59	AC	370 ms 6,944 KB

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ソースコード

raw source code

#line 1 "main.cpp"
//#pragma GCC target("avx")
//#pragma GCC optimize("O3")
//#pragma GCC optimize("unroll-loops")
#include<bits/stdc++.h>

#ifdef LOCAL
#include <debug.hpp>
#define debug(...) debug_print::multi_print(#__VA_ARGS__, __VA_ARGS__)
#else
#define debug(...) (static_cast<void>(0))
#endif
using namespace std;
using ll = long long;
using ld = long double;
using pll = pair<ll, ll>;
using pii = pair<int, int>;
using vi = vector<int>;
using vvi = vector<vi>;
using vvvi = vector<vvi>;
using vl = vector<ll>;
using vvl = vector<vl>;
using vvvl = vector<vvl>;
using vpii = vector<pii>;
using vpll = vector<pll>;
using vs = vector<string>;
template<class T> using pq = priority_queue<T, vector<T>, greater<T>>;
#define overload4(_1, _2, _3, _4, name, ...) name
#define overload3(a,b,c,name,...) name
#define rep1(n) for (ll UNUSED_NUMBER = 0; UNUSED_NUMBER < (n); ++UNUSED_NUMBER)
#define rep2(i, n) for (ll i = 0; i < (n); ++i)
#define rep3(i, a, b) for (ll i = (a); i < (b); ++i)
#define rep4(i, a, b, c) for (ll i = (a); i < (b); i += (c))
#define rep(...) overload4(__VA_ARGS__, rep4, rep3, rep2, rep1)(__VA_ARGS__)
#define rrep1(n) for(ll i = (n) - 1;i >= 0;i--)
#define rrep2(i,n) for(ll i = (n) - 1;i >= 0;i--)
#define rrep3(i,a,b) for(ll i = (b) - 1;i >= (a);i--)
#define rrep4(i,a,b,c) for(ll i = (a) + ((b)-(a)-1) / (c) * (c);i >= (a);i -= c)
#define rrep(...) overload4(__VA_ARGS__, rrep4, rrep3, rrep2, rrep1)(__VA_ARGS__)
#define all1(i) begin(i) , end(i)
#define all2(i,a) begin(i) , begin(i) + a
#define all3(i,a,b) begin(i) + a , begin(i) + b
#define all(...) overload3(__VA_ARGS__, all3, all2, all1)(__VA_ARGS__)
#define sum(...) accumulate(all(__VA_ARGS__),0LL)
template<class T> bool chmin(T &a, const T &b){ if(a > b){ a = b; return 1; } else return 0; }
template<class T> bool chmax(T &a, const T &b){ if(a < b){ a = b; return 1; } else return 0; }
template<class T> auto min(const T& a){ return *min_element(all(a)); }
template<class T> auto max(const T& a){ return *max_element(all(a)); }
template<class... Ts> void in(Ts&... t);
#define INT(...) int __VA_ARGS__; in(__VA_ARGS__)
#define LL(...) ll __VA_ARGS__; in(__VA_ARGS__)
#define STR(...) string __VA_ARGS__; in(__VA_ARGS__)
#define CHR(...) char __VA_ARGS__; in(__VA_ARGS__)
#define DBL(...) double __VA_ARGS__; in(__VA_ARGS__)
#define LD(...) ld __VA_ARGS__; in(__VA_ARGS__)
#define VEC(type, name, size) vector<type> name(size); in(name)
#define VV(type, name, h, w) vector<vector<type>> name(h, vector<type>(w)); in(name)
ll intpow(ll a, ll b){ ll ans = 1; while(b){if(b & 1) ans *= a; a *= a; b /= 2;} return ans;}
ll modpow(ll a, ll b, ll p){ ll ans = 1; a %= p;if(a < 0) a += p;while(b){ if(b & 1) (ans *= a) %= p; (a *= a) %= p; b /= 2; } return ans; }
ll GCD(ll a,ll b) { if(a == 0 || b == 0) return 0; if(a % b == 0) return b; else return GCD(b,a%b);}
ll LCM(ll a,ll b) { if(a == 0) return b; if(b == 0) return a;return a / GCD(a,b) * b;}
namespace IO{
#define VOID(a) decltype(void(a))
struct setting{ setting(){cin.tie(nullptr); ios::sync_with_stdio(false);fixed(cout); cout.precision(12);}} setting;
template<int I> struct P : P<I-1>{};
template<> struct P<0>{};
template<class T> void i(T& t){ i(t, P<3>{}); }
void i(vector<bool>::reference t, P<3>){ int a; i(a); t = a; }
template<class T> auto i(T& t, P<2>) -> VOID(cin >> t){ cin >> t; }
template<class T> auto i(T& t, P<1>) -> VOID(begin(t)){ for(auto&& x : t) i(x); }
template<class T, size_t... idx> void ituple(T& t, index_sequence<idx...>){
    in(get<idx>(t)...);}
template<class T> auto i(T& t, P<0>) -> VOID(tuple_size<T>{}){
    ituple(t, make_index_sequence<tuple_size<T>::value>{});}
#undef VOID
}
#define unpack(a) (void)initializer_list<int>{(a, 0)...}
template<class... Ts> void in(Ts&... t){ unpack(IO :: i(t)); }
#undef unpack
static const double PI = 3.1415926535897932;
template <class F> struct REC {
    F f;
    REC(F &&f_) : f(forward<F>(f_)) {}
    template <class... Args> auto operator()(Args &&...args) const { return f(*this, forward<Args>(args)...); }};
//constexpr int mod = 1000000007;
constexpr int mod = 998244353;
#line 1 "library/data-structure/unionfind.hpp"
struct unionfind {
  public:
    unionfind() : _n(0) {}
    explicit unionfind(int n) : _n(n), parent_or_size(n, -1) {}
    int merge(int a, int b) {
        assert(0 <= a && a < _n);
        assert(0 <= b && b < _n);
        int x = find(a), y = find(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 find(a) == find(b);
    }
    int find(int a) {
        assert(0 <= a && a < _n);
        if (parent_or_size[a] < 0) return a;
        return parent_or_size[a] = find(parent_or_size[a]);
    }
    int size(int a) {
        assert(0 <= a && a < _n);
        return -parent_or_size[find(a)];
    }
    vector<vector<int>> groups() {
        vector<int> leader_buf(_n), group_size(_n);
        for (int i = 0; i < _n; i++) {
            leader_buf[i] = find(i);
            group_size[leader_buf[i]]++;
        }
        vector<vector<int>> result(_n);
        for (int i = 0; i < _n; i++) {
            result[i].reserve(group_size[i]);
        }
        for (int i = 0; i < _n; i++) {
            result[leader_buf[i]].push_back(i);
        }
        result.erase(
            remove_if(result.begin(), result.end(),
                           [&](const vector<int>& v) { return v.empty(); }),
            result.end());
        return result;
    }
  private:
    int _n;
    // root node: -1 * component size
    // otherwise: parent
    vector<int> parent_or_size;
};
#line 87 "main.cpp"
int main() {
    INT(n,m);
    vvi g(n);
    unionfind uf(n);
    rep(i,m) {
        INT(u,v);
        u--,v--;
        g[u].emplace_back(v);
        uf.merge(u,v);
    }
    VEC(int,c,n);
    auto gs = uf.groups();
    int ans = 0;
    rep(i,gs.size()) {
        int cnt = 0;
        vpii eds;
        ll pre = 0;
        for(auto &&id:gs[i]) {
            if(c[id]) {
                cnt++;
                pre += 1LL << id;
            }
            for(auto &&j:g[id]) eds.emplace_back(id,j);
        }
        if(cnt % 2) {
            cout << -1 << '\n';
            return 0;
        }
        int m = eds.size();
        int m1 = m / 2;
        int m2 = m - m1;
        int tmp = m;
        map<ll,int> mp;
        rep(j,1 << m1) {
            ll cur = 0;
            int C = 0;
            rep(k,m1) {
                if(j >> k & 1) {
                    C++;
                    cur ^= 1LL << eds[k].first;
                    cur ^= 1LL << eds[k].second;
                }
            }
            if(mp.find(cur) == mp.end()) mp.emplace(cur,C);
            else chmin(mp[cur],C);
        }
        rep(j,1 << m2) {
            ll cur = 0;
            int C = 0;
            rep(k,m2) {
                if(j >> k & 1) {
                    C++;
                    cur ^= 1LL << eds[k + m1].first;
                    cur ^= 1LL << eds[k + m1].second;
                }
            }
            if(mp.find(cur ^ pre) != mp.end()) {
                chmin(tmp,mp[cur ^ pre] + C);
            }
        }
        ans += tmp;
    }
    cout << ans << '\n';
}

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結果

テストケース

ソースコード