Submission #793090

#TimeUsernameProblemLanguageResultExecution timeMemory
793090denniskimCat Exercise (JOI23_ho_t4)C++17
100 / 100
279 ms69872 KiB
#include <bits/stdc++.h> using namespace std; typedef long long ll; typedef __int128 lll; typedef long double ld; typedef pair<ll, ll> pll; typedef pair<ld, ld> pld; #define MAX 9223372036854775807LL #define MIN -9223372036854775807LL #define INF 0x3f3f3f3f3f3f3f3f #define fi first #define se second #define fastio ios_base::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL); cout << fixed; cout.precision(10); #define sp << " " #define en << "\n" #define compress(v) sort(v.begin(), v.end()), v.erase(unique(v.begin(), v.end()), v.end()) ll n; ll a[200010]; pll b[200010]; ll all, bll; vector<ll> vec[200010]; ll dep[200010]; ll spa[200010][21]; ll p[200010], ra[200010], maxx[200010]; ll dp[200010]; void dfs(ll here, ll pa) { dep[here] = dep[pa] + 1; spa[here][0] = pa; for(auto &i : vec[here]) { if(i == pa) continue; dfs(i, here); } } ll LCA(ll X, ll Y) { if(dep[X] < dep[Y]) swap(X, Y); ll cha = dep[X] - dep[Y]; for(ll i = 20 ; i >= 0 ; i--) { if((1LL << i) <= cha) { cha -= (1LL << i); X = spa[X][i]; } } if(X == Y) return X; for(ll i = 20 ; i >= 0 ; i--) { if(spa[X][i] != spa[Y][i]) { X = spa[X][i]; Y = spa[Y][i]; } } return spa[X][0]; } ll dist(ll X, ll Y) { return dep[X] + dep[Y] - dep[LCA(X, Y)] * 2; } ll ffind(ll here) { if(p[here] == here) return p[here]; return p[here] = ffind(p[here]); } void uunion(ll X, ll Y) { X = ffind(X); Y = ffind(Y); if(ra[X] > ra[Y]) swap(X, Y); if(ra[X] == ra[Y]) ra[Y]++; p[X] = Y; if(a[maxx[Y]] < a[maxx[X]]) maxx[Y] = maxx[X]; } int main(void) { fastio cin >> n; for(ll i = 1 ; i <= n ; i++) { cin >> a[i]; b[i] = {a[i], i}; } sort(b + 1, b + 1 + n); for(ll i = 1 ; i < n ; i++) { cin >> all >> bll; vec[all].push_back(bll); vec[bll].push_back(all); } dfs(1, 0); for(ll i = 1 ; i <= 20 ; i++) { for(ll j = 1 ; j <= n ; j++) spa[j][i] = spa[spa[j][i - 1]][i - 1]; } for(ll i = 1 ; i <= n ; i++) p[i] = i, ra[i] = 0, maxx[i] = i; for(ll i = 1 ; i <= n ; i++) { ll num = b[i].se; for(auto &j : vec[num]) { if(a[j] < a[num]) { dp[num] = max(dp[num], dp[maxx[ffind(j)]] + dist(maxx[ffind(j)], num)); uunion(j, num); } } } cout << dp[b[n].se]; return 0; }
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