Submission #1333436

#TimeUsernameProblemLanguageResultExecution timeMemory
1333436faricaLove Polygon (BOI18_polygon)C++20
0 / 100
119 ms9208 KiB
#include<bits/stdc++.h>
using namespace std;
using vi = vector<int>;
using pi = pair<int,int>;
typedef long long ll;
#define debug(x) cout << #x << " = " << x << "\n";
#define vdebug(a) cout << #a << " = "; for(auto x: a) cout << x << " "; cout << "\n";

const int MOD = 1e9 + 7;
const int INF = 1e9;

template<ll mod>
struct modnum {
	static constexpr bool is_big_mod = mod > numeric_limits<int>::max();

	using S = conditional_t<is_big_mod, ll, int>;
	using L = conditional_t<is_big_mod, __int128, ll>;

	S x;

	modnum() : x(0) {}
	modnum(ll _x) {
		_x %= static_cast<ll>(mod);
		if (_x < 0) { _x += mod; }
		x = _x;
	}

	modnum pow(ll n) const {
		modnum res = 1;
		modnum cur = *this;
		while (n > 0) {
			if (n & 1) res *= cur;
			cur *= cur;
						n /= 2;
		}
		return res;
	}
	modnum inv() const { return (*this).pow(mod-2); }

	modnum& operator+=(const modnum& a){
		x += a.x;
		if (x >= mod) x -= mod;
		return *this;
	}
	modnum& operator-=(const modnum& a){
		if (x < a.x) x += mod;
		x -= a.x;
		return *this;
	}
	modnum& operator*=(const modnum& a){
		x = static_cast<L>(x) * a.x % mod;
		return *this;
	}
	modnum& operator/=(const modnum& a){ return *this *= a.inv(); }

	friend modnum operator+(const modnum& a, const modnum& b){ return modnum(a) += b; }
	friend modnum operator-(const modnum& a, const modnum& b){ return modnum(a) -= b; }
	friend modnum operator*(const modnum& a, const modnum& b){ return modnum(a) *= b; }
	friend modnum operator/(const modnum& a, const modnum& b){ return modnum(a) /= b; }

	friend bool operator==(const modnum& a, const modnum& b){ return a.x == b.x; }
	friend bool operator!=(const modnum& a, const modnum& b){ return a.x != b.x; }
	friend bool operator<(const modnum& a, const modnum& b){ return a.x < b.x; }

	friend ostream& operator<<(ostream& os, const modnum& a){ os << a.x; return os; }
	friend istream& operator>>(istream& is, modnum& a) { ll x; is >> x; a = modnum(x); return is; }
};

using mint = modnum<MOD>;

template <class T> class SumSegmentTree {
  private:
	const T DEFAULT = 0;

	vector<T> segtree;
	int len;

  public:
	SumSegmentTree(int len) : len(len), segtree(len * 2, DEFAULT) {}

	void set(int ind, T val) {
		ind += len;
		segtree[ind] = val;
		for (; ind > 1; ind /= 2) {
			segtree[ind / 2] = segtree[ind] + segtree[ind ^ 1];
		}
	}

	T range_sum(int start, int end) {
		T sum = DEFAULT;
		for (start += len, end += len; start < end; start /= 2, end /= 2) {
			if (start % 2 == 1) { sum += segtree[start++]; }
			if (end % 2 == 1) { sum += segtree[--end]; }
		}
		return sum;
	}
};

struct BIT {
  vector<ll>b;
  int n;

  void init(int _n) {
	n = _n ;
	b.assign(n+1, 0);
  }
  inline int lowbit(int x) { return x & (-x); }
  void update(int x, ll v) {
	  ++x;
	for(int i = x ; i <= n ; i += lowbit(i)) b[i] += v;
  }
  ll query(int x) {
	ll ans = 0;
	++x;
	for(int i = x ; i > 0 ; i -= lowbit(i)) ans += b[i];
	return ans;
  }
} bit;

int gcd(int a, int b, int& x, int& y) { // x*a + y*b = a1
    x = 1, y = 0;
    int x1 = 0, y1 = 1, a1 = a, b1 = b;
    while (b1) {
        int q = a1 / b1;
        tie(x, x1) = make_tuple(x1, x - q * x1);
        tie(y, y1) = make_tuple(y1, y - q * y1);
        tie(a1, b1) = make_tuple(b1, a1 - q * b1);
    }
    return a1;
}

int inv_ecd(int a, int m) {
	int x, y;
	int g = gcd(a, m, x, y);
	if(g != 1) return -1;
	x = (x + m) % m;
	return x;
}

ll exp(ll x, ll n) {
	x %= MOD;
	ll res = 1;
	while (n > 0) {
		if (n % 2 == 1) { res = res * x % MOD; }
		x = x * x % MOD;
		n /= 2;
	}
	return res;
}

int ans, tmp, e;
vi visited, in, adj;

void dfs(int pos) {
	in[pos] = e++;
	visited[pos] = 1;
	int nxt = adj[pos];
	if(visited[nxt] == 1) {
		tmp = nxt;
		ans += (in[pos] - in[nxt] + 1) % 2;
		return;
	}
	if(visited[nxt] == 2) {
		tmp = pos;
		return;
	}
	dfs(nxt);
}

void mark(int pos) {
	visited[pos] = 2;
	int nxt = adj[pos];
	if(visited[nxt] == 2) return;
	mark(nxt);
}

void solve() {
	int n;
	cin >> n;
	map<string,int>ind;
	int cnt = 1;
	adj.resize(n+1);
	for(int i=0; i<n; ++i) {
		string s, t;
		cin >> s >> t;
		if(!ind[s]) {
			ind[s] = cnt++;
		}
		if(!ind[t]) {
			ind[t] = cnt++;
		}
		int u = ind[s], v = ind[t];
		adj[u] = v;
	}
	if(n%2) {
		cout << -1 << endl;
		return;
	}
	ans = n/2;
	e = 0;
	int ans2 = 0;
	visited.assign(n+1, 0);
	in.assign(n+1, 0);
	for(int i=1; i<=n; ++i) {
		tmp = -1;
		if(adj[adj[i]] == i && adj[i] != i) {
			visited[i] = visited[adj[i]] = 2;
			--ans;
		}
		if(!visited[i]) {
			dfs(i);
			if(tmp != i) ans2 += (in[tmp] - in[i] + 1) % 2; 
			mark(i);
		}
	}
	ans += ans2/2;
	cout << ans << endl;
}

int main(){
	ios::sync_with_stdio(0);
	cin.tie(0); cout.tie(0);

	int tc = 1;
	while(tc--) {
		solve();
	}
}

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