Submission #516258

#TimeUsernameProblemLanguageResultExecution timeMemory
516258AmShZConstruction of Highway (JOI18_construction)C++11
100 / 100
372 ms90704 KiB
//khodaya khodet komak kon # include <bits/stdc++.h> using namespace std; typedef long long ll; typedef long double ld; typedef pair <int, int> pii; typedef pair <pii, int> ppi; typedef pair <int, pii> pip; typedef pair <pii, pii> ppp; typedef pair <ll, ll> pll; # define A first # define B second # define endl '\n' # define sep ' ' # define all(x) x.begin(), x.end() # define kill(x) return cout << x << endl, 0 # define SZ(x) int(x.size()) # define lc id << 1 # define rc id << 1 | 1 # define fast_io ios::sync_with_stdio(0);cin.tie(0); cout.tie(0); ll power(ll a, ll b, ll md) {return (!b ? 1 : (b & 1 ? a * power(a * a % md, b / 2, md) % md : power(a * a % md, b / 2, md) % md));} const int xn = 1e5 + 10; const int xm = - 20 + 10; const int sq = 320; const int inf = 1e9 + 10; const ll INF = 1e18 + 10; const ld eps = 1e-15; const int mod = 998244353; const int base = 257; int n, m, c[xn], par[xn], hvy[xn], sz[xn], arshad[xn]; int stm[xn], TM, ptr, b[xn], fen[xn]; pii a[xn]; stack <ppi> sk[xn]; vector <int> adj[xn], cprs; map <int, int> mp; void mofen(int pos, int val){ for (pos += 5; pos < xn; pos += pos & - pos) fen[pos] += val; } int gefen(int pos){ int res = 0; for (pos += 5; 0 < pos; pos -= pos & - pos) res += fen[pos]; return res; } void preDFS(int v){ sz[v] = 1; for (int u : adj[v]){ preDFS(u); sz[v] += sz[u]; if (sz[hvy[v]] < sz[u]) hvy[v] = u; } } void DFS(int v){ stm[v] = TM ++; arshad[v] = v; if (v == hvy[par[v]]) arshad[v] = arshad[par[v]]; if (hvy[v]) DFS(hvy[v]); for (int u : adj[v]) if (u != hvy[v]) DFS(u); sk[arshad[v]].push({{stm[v], stm[v]}, c[v]}); } void add(pii x){ if (m && a[m - 1].A == x.A) a[m - 1].B += x.B; else a[m ++] = x; } void solve(int id, int x, int col){ vector <pii> vec; while (SZ(sk[id]) && sk[id].top().A.B <= x){ vec.push_back({sk[id].top().B, sk[id].top().A.B - sk[id].top().A.A + 1}); sk[id].pop(); } if (SZ(sk[id]) && sk[id].top().A.A <= x){ vec.push_back({sk[id].top().B, x - sk[id].top().A.A + 1}); sk[id].top().A.A = x + 1; } if (SZ(sk[id]) && sk[id].top().B == col) sk[id].top().A.A = stm[id]; else sk[id].push({{stm[id], x}, col}); reverse(all(vec)); for (pii x : vec) add(x); } int main(){ fast_io; cin >> n; for (int i = 1; i <= n; ++ i) cin >> c[i], cprs.push_back(c[i]); sort(all(cprs)); for (int i = 0; i < SZ(cprs); ++ i) if (!i || cprs[i] != cprs[i - 1]) mp[cprs[i]] = ptr ++; for (int i = 1; i <= n; ++ i) c[i] = mp[c[i]]; for (int i = 1; i < n; ++ i){ int v, u; cin >> v >> u; par[u] = v; adj[v].push_back(u); b[i] = u; } preDFS(1); DFS(1); for (int i = 1; i < n; ++ i){ int v = b[i], col = c[v]; v = par[v], m = 0; while (v){ solve(arshad[v], stm[v], col); v = par[arshad[v]]; } ll ans = 0; for (int i = 0; i < m; ++ i){ ans += 1ll * a[i].B * gefen(a[i].A - 1); mofen(a[i].A, a[i].B); } cout << ans << endl; for (int i = 0; i < m; ++ i) mofen(a[i].A, - a[i].B); } return 0; }
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