[AtCoder] D - Collision

D - Collision

  • Time : O(n + qlogn)
  • Space : O(n)
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#include <bits/stdc++.h>

#pragma optimization_level 3
#pragma GCC optimize("Ofast,no-stack-protector,unroll-loops,fast-math,O3")
#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx")
#pragma GCC optimize("Ofast")//Comment optimisations for interactive problems (use endl)
#pragma GCC target("avx,avx2,fma")
#pragma GCC optimization ("unroll-loops")

using namespace std;

struct PairHash {
inline std::size_t operator()(const std::pair<int, int> &v) const { return v.first * 31 + v.second; }
};

// speed
#define Code ios_base::sync_with_stdio(false);
#define By ios::sync_with_stdio(0);
#define Sumfi cout.tie(NULL);

// alias
using ll = long long;
using ld = long double;

// constants
const ld PI = 3.14159265358979323846; /* pi */
const ll INF = 1e18;
const ld EPS = 1e-9;
const ll MAX_N = 101010;
const ll mod = 1e9+7;

// typedef
typedef pair<ll, ll> pll;
typedef vector<pll> vpll;
typedef array<ll,3> all3;
typedef array<ll,5> all5;
typedef vector<all3> vall3;
typedef vector<all5> vall5;
typedef vector<ll> vll;
typedef vector<vll> vvll;
typedef vector<int> vi;
typedef vector<string> vs;
typedef vector<vs> vvs;
typedef unordered_set<ll> usll;
typedef unordered_set<pll, PairHash> uspll;
typedef unordered_map<ll, ll> umll;

// macros
#define rep(i,n) for(ll i=0;i<n;i++)
#define rrep(i,m,n) for(ll i=n;i>=m;i--)
#define all(a) begin(a), end(a)
#define rall(a) rbegin(a), rend(a)

ll __gcd(ll x, ll y) { return !y ? x : __gcd(y, x % y); }
ll __lcm(ll x, ll y) { return x * y / __gcd(x,y); }

using namespace std;

ll LCA[MAX_N][22];
ll level[MAX_N];

void dfs(vvll& adj, ll u, ll lvl, ll par) {
level[u] = lvl;
LCA[u][0] = par;
for(auto& v : adj[u]) {
if(v == par) continue;
dfs(adj, v, lvl + 1, u);
}
}

void lca(ll n, vpll E) {
memset(LCA, -1, sizeof LCA);
vvll adj(n + 1);
for(auto& [u, v] : E) {
adj[u].push_back(v);
adj[v].push_back(u);
}

dfs(adj, 1, 0, -1);

rep(i, 20) {
for(ll j = 1; j <= n; j++) {
if(LCA[j][i] != -1)
LCA[j][i + 1] = LCA[LCA[j][i]][i];
}
}
}

ll query(ll u, ll v) {
if(level[u] < level[v]) swap(u, v);
ll diff = level[u] - level[v];
for(ll i = 0; diff; i++, diff /= 2) {
if(diff & 1) u = LCA[u][i];
}
if(u != v) {
rrep(i, 0, 21) {
if(LCA[u][i] == LCA[v][i]) continue;
u = LCA[u][i];
v = LCA[v][i];
}
u = LCA[u][0];
}
return u;
}

string solve(ll u, ll v) {
ll lca = query(u, v);
ll dis = 2 * level[lca] - level[u] - level[v];
return dis & 1 ? "Road" : "Town";
}


int main() {
Code By Sumfi

//cout.precision(12);

ll tc = 1;
//cin>>tc;
for (ll i = 1; i <= tc; i++) {
ll n, q, u, v;
cin>>n>>q;
vpll E(n - 1);
rep(i, n -1) cin>>E[i].first>>E[i].second;
lca(n, E);
rep(i,q) {
cin>>u>>v;
cout<<solve(u,v)<<endl;
}

}
return 0;
}
Author: Song Hayoung
Link: https://songhayoung.github.io/2022/07/02/PS/AtCoder/abc209-d/
Copyright Notice: All articles in this blog are licensed under CC BY-NC-SA 4.0 unless stating additionally.