結果

問題 No.2236 Lights Out On Simple Graph
ユーザー 👑 seekworser
提出日時 2023-02-28 22:43:18
言語 C++23
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 1,600 ms / 4,000 ms
コード長 12,596 bytes
コンパイル時間 3,472 ms
コンパイル使用メモリ 267,768 KB
実行使用メモリ 47,376 KB
最終ジャッジ日時 2024-09-16 20:12:29
合計ジャッジ時間 43,961 ms
ジャッジサーバーID
（参考情報） 		judge5 / judge1
このコードへのチャレンジ
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ファイルパターン 結果
sample AC * 3
other AC * 57
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 # 

#line 2 "/home/seekworser/.cpp_lib/competitive_library/competitive/std/std.hpp"
#include <bits/stdc++.h>
#ifndef LOCAL_TEST
#pragma GCC target ("avx")
#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")
#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native")
#endif // LOCAL_TEST
using namespace std;
// 型名の短縮
using ll = long long;
using pii = pair<int, int>; using pll = pair<ll, ll>;
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 vb = vector<bool>; using vvb = vector<vb>; using vvvb = vector<vvb>;
using vc = vector<char>; using vvc = vector<vc>; using vvvc = vector<vvc>;
using vd = vector<double>; using vvd = vector<vd>; using vvvd = vector<vvd>;
using vs = vector<string>; using vvs = vector<vector<string>>; using vvvs = vector<vector<vector<string>>>;
template <class T> using priority_queue_min = priority_queue<T, vector<T>, greater<T>>;
// 定数の定義
constexpr double PI = 3.14159265358979323;
constexpr int INF = 100100111; constexpr ll INFL = 3300300300300300491LL;
float EPS = 1e-8; double EPSL = 1e-16;
bool eq(const double x, const double y) { return abs(x - y) < EPSL; }
bool eq(const float x, const float y) { return abs(x - y) < EPS; }
template<typename T> bool eq(const T x, const T y) { return x == y; }
template<typename T> bool neq(const T x, const T y) { return !(eq(x, y)); }
template<typename T> bool ge(const T x, const T y) { return eq(x, y) || (x > y); }
template<typename T> bool le(const T x, const T y) { return eq(x, y) || (x < y); }
template<typename T> bool gt(const T x, const T y) { return !(le(x, y)); }
template<typename T> bool lt(const T x, const T y) { return !(ge(x, y)); }
constexpr int MODINT998244353 = 998244353;
constexpr int MODINT1000000007 = 1000000007;
// 入出力高速化
struct Nyan { Nyan() { cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(18); } } nyan;
// 汎用マクロの定義
#define all(a) (a).begin(), (a).end()
#define sz(x) ((int)(x).size())
#define rep(i, n) for(ll i = 0, i##_len = ll(n); i < i##_len; ++i) // 0 から n-1 まで昇順
#define repi(i, s, t) for(ll i = ll(s), i##_end = ll(t); i < i##_end; ++i) // s から t まで昇順
#define repis(i, s, t, step) for(ll i = ll(s), i##_end = ll(t); i < i##_end; i+=step) // s から t まで stepずつ
#define repir(i, s, t, step) for(ll i = ll(s), i##_end = ll(t); i > i##_end; i+=step) // s から t まで stepずつ
#define repe(a, v) for(auto& a : (v)) // v の全要素（変更可能）
#define smod(n, m) ((((n) % (m)) + (m)) % (m)) // 非負mod
#define sdiv(n, m) (((n) - smod(n, m)) / (m)) // 非負div
#define uniq(a) {sort(all(a)); (a).erase(unique(all(a)), (a).end());} // 重複除去
void Yes(bool b) { cout << (b ? "Yes\n" : "No\n"); return; };
void YES(bool b) { cout << (b ? "YES\n" : "NO\n"); return; };
template<typename T, size_t N> T max(array<T, N>& a) { return *max_element(all(a)); };
template<typename T, size_t N> T min(array<T, N>& a) { return *min_element(all(a)); };
template<typename T> T max(vector<T>& a) { return *max_element(all(a)); };
template<typename T> T min(vector<T>& a) { return *min_element(all(a)); };
template<typename T> T sum(vector<T>& a, T zero = T(0)) { T rev = zero; rep(i, sz(a)) rev += a[i]; return rev; };

// modでのpow
ll powm(ll a, ll n, ll mod=INFL) {
    ll res = 1;
    while (n > 0) {
        if (n & 1) res = (res * a) % mod;
        if (n > 1) a = (a * a) % mod;
        n >>= 1;
    }
    return res;
}
// 整数Sqrt
ll sqrtll(ll x) {
    assert(x >= 0);
    ll hi(x), lo(0);
    while (hi != lo) {
        ll y = (hi + lo + 1) / 2;
        if (y <= x/y) lo = y;
        else hi = y - 1;
    }
    return lo;
}
template <class T> inline bool chmax(T& M, const T& x) { if (M < x) { M = x; return true; } return false; } // 最大値を更新（更新されたら true を返す）
template <class T> inline bool chmin(T& m, const T& x) { if (m > x) { m = x; return true; } return false; } // 最小値を更新（更新されたら true を返す）
int digit(ll x, int d=10) { int rev=0; while (x > 0) { rev++; x /= d;}; return rev; } // xのd進数桁数
/**
 * @brief std.hpp
 * @docs docs/std/std.md
 */
#line 3 "/home/seekworser/.cpp_lib/competitive_library/competitive/graph/graph.hpp"
template <class Cost> struct Graph{
public:
    struct Edge {
        int to;
        Cost cost;
        Edge() {};
        Edge(int _to, Cost _cost) : to(_to), cost(_cost) {};
    };
    struct AdjacencyListRange{
        using iterator = typename std::vector<Edge>::const_iterator;
        iterator begi, endi;
        iterator begin() const { return begi; }
        iterator end() const { return endi; }
        int size() const { return (int)distance(begi, endi); }
        const Edge& operator[](int i) const { return begi[i]; }
    };
private:
public:
    vector<Edge> E;
    vector<int> I;
    int n;
    Graph() : n(0) {}
    Graph(int _n) : n(_n) {}
    Graph(int _n, const vector<int>& from, vector<int>& to, vector<Cost>& cost, bool rev = false) : n(_n) {
        vector<int> buf(n+1, 0);
        for(int i=0; i<(int)from.size(); i++){
            ++buf[from[i]];
            if (rev) ++buf[to[i]];
        }
        for(int i=1; i<=_n; i++) buf[i] += buf[i-1];
        E.resize(buf[n]);
        for(int i=(int)from.size()-1; i>=0; i--){
            int u = from[i];
            int v = to[i];
            Cost c = cost[i];
            E[--buf[u]] = Edge(v, c);
            if(rev) E[--buf[v]] = Edge(u, c);
        }
        I = move(buf);
    }
    AdjacencyListRange operator[](int u) const {
        return AdjacencyListRange{ E.begin() + I[u], E.begin() + I[u+1] };
    }
    int num_vertices() const { return n; }
    int size() const { return num_vertices(); }
    int num_edges() const { return E.size(); }
    // Graph reversed_edges() const {
    //     Graph res;
    //     int _n = res.n = n;
    //     std::vector<int> buf(n+1, 0);
    //     for(int v : E) ++buf[v];
    //     for(int i=1; i<=n; i++) buf[i] += buf[i-1];
    //     res.E.resize(buf[n]);
    //     for(int u=0; u<n; u++) for(int v : operator[](u)) res.E[--buf[v]] = u;
    //     res.I = std::move(buf);
    //     return res;
    // }
};
template <class T> ostream& operator<<(ostream& os, Graph<T> g) {
    bool first = true;
    rep(i, g.n) repe(e, g[i]) {
        if (first) first = false;
        else os << endl;
        os << i << "->" << e.to << ": " << e.cost;
    }
    return os;
}
/**
 * @brief graph.hpp
 * @docs docs/graph/graph.md
 */
#line 3 "/home/seekworser/.cpp_lib/competitive_library/competitive/math/bit.hpp"
namespace bit{
    bool lb(ll x) { return (x & 1); }
    bool get(ll x, int n) { return ((x >> n) & 1); }
    ll update(ll x, int n, bool b) { return (x & ~(1LL << n)) + (b << n); }
    ll lsb(ll x) { return -x & x; }
    int digit(ll x) { int rev=0; while(x) { rev++; x >>= 1; } return rev; }
    ll msb(ll x) { if (x==0) return 0; return 1LL << (digit(x) - 1); }
    int lsbd(ll x) {return digit(lsb(x)); }
    int count(ll x) { int rev=0; while(x) { if (lb(x)) rev++; x >>= 1; } return rev; }
    string to_string(ll x, bool rev=true) { stringstream ss; while (x) { ss << lb(x); x >>= 1;} string s(ss.str()); if (rev) reverse(all(s)); return s; }
}
/**
 * @brief bit.hpp
 * @docs docs/math/bit.md
 */
#line 3 "/home/seekworser/.cpp_lib/competitive_library/competitive/std/io.hpp"
// 演算子オーバーロード（プロトタイプ宣言）
template <class T, class U> inline istream& operator>>(istream& is, pair<T, U>& p);
template <class T> inline istream& operator>>(istream& is, vector<T>& v);
template <class T, class U> inline ostream& operator<<(ostream& os, const pair<T, U>& p);
template <class T> inline ostream& operator<<(ostream& os, const vector<T>& v);
template <typename T, typename S> ostream &operator<<(ostream &os, const map<T, S> &mp);
template <typename T> ostream &operator<<(ostream &os, const set<T> &st);
template <typename T> ostream &operator<<(ostream &os, const multiset<T> &st);
template <typename T> ostream &operator<<(ostream &os, queue<T> q);
template <typename T> ostream &operator<<(ostream &os, deque<T> q);
template <typename T> ostream &operator<<(ostream &os, stack<T> st);
template <class T, class Container, class Compare> ostream &operator<<(ostream &os, priority_queue<T, Container, Compare> pq);

// 演算子オーバーロード
template <class T, class U> inline istream& operator>>(istream& is, pair<T, U>& p) { is >> p.first >> p.second; return is; }
template <class T> inline istream& operator>>(istream& is, vector<T>& v) { repe(x, v) is >> x; return is; }
template <class T, class U> inline ostream& operator<<(ostream& os, const pair<T, U>& p) { os << p.first << " " << p.second; return os; }
template <class T> inline ostream& operator<<(ostream& os, const vector<T>& v) { rep(i, sz(v)) { os << v.at(i); if (i != sz(v) - 1) os << " "; } 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> inline vector<T>& operator--(vector<T>& v) { repe(x, v) --x; return v; }
template <class T> inline vector<T>& operator++(vector<T>& v) { repe(x, v) ++x; return v; }

template <typename T> void print_sep_end(string sep, string end, const T& val) { (void)sep; cout << val << end; };
template <typename T1, typename... T2> void print_sep_end(string sep, string end, const T1 &val, const T2 &...remain) {
    cout << val << sep;
    print_sep_end(sep, end, remain...);
};
template <typename... T> void print(const T&...args) {print_sep_end(" ", "\n", args...);};
#define debug(...) debug_func(0, #__VA_ARGS__, __VA_ARGS__) // debug print
#ifdef LOCAL_TEST
template <typename T>
void debug_func(int i, T name) { (void)i; (void)name; cerr << endl; }
template <typename T1, typename T2, typename... T3> void debug_func(int i, const T1 &name, const T2 &a, const T3 &...b) {
    for ( ; name[i] != ',' && name[i] != '\0'; i++ ) cerr << name[i];
    cerr << ":" << a << " ";
    debug_func(i + 1, name, b...);
}
#endif
#ifndef LOCAL_TEST
template <typename... T>
void debug_func(const T &...) {}
#endif
/**
 * @brief io.hpp
 * @docs docs/std/io.md
 */
#line 5 "answer.cpp"

int main() {
    int n,m;
    cin >> n >> m;
    int m1 = m / 2;
    int m2 = m - m1;
    vi a(m), b(m);
    rep(i, m) { cin >> a[i] >> b[i]; }
    --a; --b;
    ll c(0);
    rep(i, n) {
        int ci; cin >> ci;
        if (ci == 1) c += 1LL << i;
    }
    debug(bit::to_string(c));
    unordered_map<ll, int> mp;
    rep(bt, 1 << m1) {
        vb cn(n, false);
        rep(i, m1) {
            if (bit::get(bt, i)) {
                cn[a[i]] = !cn[a[i]];
                cn[b[i]] = !cn[b[i]];
            }
        }
        ll l = 0;
        rep(i, n) {
            if (cn[i]) l += (1LL << i);
        }
        debug(cn, l);
        if (mp.count(l)) chmin(mp[l], __popcount(bt));
        else mp[l] = __popcount(bt);
    }
    int ans = INF;
    rep(bt, 1 << m2) {
        vb cn(n, false);
        rep(i, m2) {
            if (bit::get(bt, i)) {
                cn[a[m1+i]] = !cn[a[m1+i]];
                cn[b[m1+i]] = !cn[b[m1+i]];
            }
        }
        ll r = 0;
        rep(i, n) {
            if (cn[i]) r += (1LL << i);
        }
        r ^= c;
        if (mp.count(r)) chmin(ans, mp[r] + __popcount(bt));
    }
    if (ans != INF) print(ans);
    else print(-1);
}
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