제출 #1278013

#제출 시각아이디문제언어결과실행 시간메모리
1278013faricaVillage (BOI20_village)C++20
75 / 100
82 ms28028 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; } }; /* const int N = 250005; struct BIT { ll b[N], n; void init(int _n) { n = _n ; for(int i = 0 ; i <= n ; ++i) b[i] = 0; } inline int lowbit(int x) { return x & (-x); } void update(int x, ll v) { for(int i = x ; i <= n ; i += lowbit(i)) b[i] += v; } ll query(int x) { ll ans = 0; for(int i = x ; i > 0 ; i -= lowbit(i)) ans += b[i]; return ans; } } bit[2]; */ 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; } const int N2 = 1e5; vi adjL[N2], sz, tin, T, ans2; int cnt, N, val2; int dfs(int pos, int prev, vi &ans) { int cnt = 0; for(int adj: adjL[pos]) { if(adj == prev) continue; cnt += dfs(adj, pos, ans); } if(pos && ans[pos] == pos) { ans[pos] = ans[prev]; ans[prev] = pos; cnt += 2; } else if(!pos && ans[pos] == pos){ ans[pos] = ans[adjL[pos][0]]; ans[adjL[pos][0]] = 0; cnt += 2; } return cnt; } void get_sz(int pos, int prev) { sz[pos] = 1; for(int adj: adjL[pos]) { if(adj == prev) continue; get_sz(adj, pos); sz[pos] += sz[adj]; } val2 += 2 * min(sz[pos], N-sz[pos]); } int find_centroid(int pos, int prev, int n) { for(int adj: adjL[pos]) { if(adj != prev && 2*sz[adj] > n) return find_centroid(adj, pos, n); } return pos; } void dfs2(int pos, int prev=-1) { tin[pos] = cnt; T[cnt++] = pos; for(int adj: adjL[pos]) { if(adj == prev) continue; dfs2(adj, pos); } } void calc(int v, int n) { get_sz(v, v); cnt = 0; dfs2(find_centroid(v, v, n)); for(int i=0; i<n; ++i) { int x = (tin[i] + n/2) % n; ans2[T[x]] = i; } } void solve() { int n; cin >> n; N = n; vi ans(n); ans2.resize(n); for(int i=0; i<n-1; ++i) { ans[i] = ans2[i] = i; int x, y; cin >> x >> y; --x, --y; adjL[x].push_back(y); adjL[y].push_back(x); } ans[n-1] = ans2[n-1] = n-1; sz.resize(n); tin.resize(n); T.resize(n); int val = dfs(0, 0, ans); calc(0, n); cout << val << " " << val2 << endl; for(int x: ans) cout << x+1 << " "; cout << endl; for(int x: ans2) cout << x+1 << " "; cout << endl; } int main(){ ios::sync_with_stdio(0); cin.tie(0); cout.tie(0); //freopen("strange_file.txt", "r", stdin); //freopen("strange_file3.txt", "w", stdout); int tc = 1; while (tc--) solve(); }
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