oj.uz

답안 #405485

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
405485 2021-05-16T12:59:24 Z flappybird Unique Cities (JOI19_ho_t5) C++14
4 / 100
 2000 ms 122972 KB 
#include <bits/stdc++.h>
#pragma GCC optimize("O3")
#pragma GCC optimize("Ofast")
#pragma GCC optimize("unroll-loops")
#pragma GCC target("avx2")
using namespace std;
typedef long long ll;
typedef pair<ll, ll> pll;
#define MAX 201010
#define MAXS 20
#define INF 1000000000000000001
#define bb ' '
#define ln '\n'
struct segtree {
	ll N;
	ll s;
	vector<ll> tree, l, r;
	void update(ll x, ll a) {
		x += s - 1;
		tree[x] = a;
		x /= 2;
		while (x) tree[x] = max(tree[x * 2], tree[x * 2 + 1]), x /= 2;
	}
	ll query(ll low, ll high, ll loc = 1) {
		if (l[loc] == low && r[loc] == high) return tree[loc];
		if (r[loc * 2] >= high) return query(low, high, loc * 2);
		if (l[loc * 2 + 1] <= low) return query(low, high, loc * 2 + 1);
		return max(query(low, r[loc * 2], loc * 2), query(l[loc * 2 + 1], high, loc * 2 + 1));
	}
	void init(ll x = 1) {
		if (x >= s) {
			l[x] = r[x] = x - s + 1;
			return;
		}
		init(x * 2);
		init(x * 2 + 1);
		l[x] = l[x * 2];
		r[x] = r[x * 2 + 1];
	}
	segtree(ll n) {
		N = n;
		s = 1LL << (ll)ceil(log2(N));
		tree.resize(2 * s + 1);
		l.resize(2 * s + 1);
		r.resize(2 * s + 1);
		init();
	}
};
vector<ll> adj[MAX], sav[MAX], rev[MAX];
ll dir[MAX], ddir[MAX], dddir[MAX];
vector<vector<ll>> chain;
vector<vector<ll>> subtree, revtree;
vector<segtree> chainseg;
ll C[MAX], depth[MAX], mxdepv[MAX], prtval[MAX];
pll range[MAX];
ll sp[MAX][MAXS];
ll cnt;
ll num[MAX];
pll cnum[MAX];
ll ans[MAX];
ll init(ll x, ll p = 0, ll d = 0) {
	sp[x][0] = p;
	ll i;
	for (i = 1; i < MAXS; i++) sp[x][i] = sp[sp[x][i - 1]][i - 1];
	depth[x] = d;
	ll mx = 0;
	ll sum = 1;
	sav[x].resize(adj[x].size());
	rev[x].resize(adj[x].size());
	for (auto v : adj[x]) {
		if (v == p) continue;
		sum += init(v, x, d + 1);
	}
	return num[x] = sum;
}
void calc(ll x, ll p = 0) {
	ll i;
	ll mx = 0;
	mxdepv[x] = x;
	for (i = 0; i < adj[x].size(); i++) {
		if (adj[x][i] == p) continue;
		calc(adj[x][i], x);
		if (mx < depth[mxdepv[adj[x][i]]]) mx = depth[mxdepv[adj[x][i]]], mxdepv[x] = mxdepv[adj[x][i]];
		sav[x][i] = mxdepv[adj[x][i]];
	}
	ll cnt = 0;
	ll vv, vvv;
	vv = vvv = -1;
	ll nv = -1;
	ll nmx = 0;
	for (auto v : adj[x]) {
		if (v == p) continue;
		if (depth[mxdepv[v]] == mx) cnt++, vvv = vv, vv = v;
		else if (depth[mxdepv[v]] > nmx) nmx = depth[mxdepv[v]], nv = v;
	}
	if (cnt >= 2) {
		for (i = 0; i < adj[x].size(); i++) {
			if (adj[x][i] != p) {
				rev[x][i] = (adj[x][i] == vv ? vvv : vv);
			}
		}
	}
	else {
		for (i = 0; i < adj[x].size(); i++) {
			if (adj[x][i] != p) {
				rev[x][i] = (adj[x][i] == vv ? nv : vv);
			}
		}
	}
	for (i = 0; i < adj[x].size(); i++) {
		if (adj[x][i] == p) continue;
		if (rev[x][i] == -1) rev[x][i] = x;
		else rev[x][i] = mxdepv[rev[x][i]];
	}
}
void make_chain(ll x, ll p = 0) {
	ll mx, mv;
	mx = mv = 0;
	chain[cnt].push_back(x);
	cnum[x] = { cnt, chain[cnt].size() - 1 };
	for (auto v : adj[x]) {
		if (v == p) continue;
		if (mx < num[v]) mx = num[v], mv = v;
	}
	if (mv) make_chain(mv, x);
	for (auto v : adj[x]) {
		if (v == p || v == mv) continue;
		cnt++;
		chain.push_back(vector<ll>());
		make_chain(v, x);
	}
}
void make_tree() {
	ll i;
	for (i = 0; i < chain.size(); i++) chainseg.push_back(segtree(chain[i].size()));
}
void update(ll v, ll x) {
	chainseg[cnum[v].first].update(cnum[v].second + 1, x);
}
//1을 루트로 하는 LCA
ll lca(ll u, ll v) {
	if (depth[u] != depth[v]) {
		if (depth[u] < depth[v]) swap(u, v);
		ll i;
		for (i = MAXS - 1; i >= 0; i--) if (depth[sp[u][i]] >= depth[v]) u = sp[u][i];
	}
	if (u == v) return u;
	ll i;
	for (i = MAXS - 1; i >= 0; i--) if (sp[u][i] != sp[v][i]) u = sp[u][i], v = sp[v][i];
	return sp[v][0];
}
//HLD query
ll mxval(ll u, ll v) {
	ll ans = 0;
	ll l = lca(u, v);
	while (cnum[u].first != cnum[l].first) ans = max(ans, chainseg[cnum[u].first].query(1, cnum[u].second + 1)), u = sp[chain[cnum[u].first][0]][0];
	while (cnum[v].first != cnum[l].first) ans = max(ans, chainseg[cnum[v].first].query(1, cnum[v].second + 1)), v = sp[chain[cnum[v].first][0]][0];
	ans = max(ans, chainseg[cnum[l].first].query(cnum[l].second + 1, cnum[u].second + 1));
	ans = max(ans, chainseg[cnum[l].first].query(cnum[l].second + 1, cnum[v].second + 1));
	return ans;
}
//두 정점 사이 거리
ll dis(ll u, ll v) { return depth[u] + depth[v] - 2 * depth[lca(u, v)]; }
//r이 루트, v의 x번째 부모
ll prtx(ll r, ll v, ll x) {
	if (x == 0) return v;
	ll rv = dis(r, v);
	if (rv < x) return 0;
	ll l = lca(r, v);
	if (dis(l, v) < x) {
		ll d = rv - x;
		ll i;
		for (i = MAXS - 1; i >= 0; i--) if (d - (1 << i) >= 0) d -= (1 << i), r = sp[r][i];
		return r;
	}
	else {
		ll i;
		for (i = MAXS - 1; i >= 0; i--) if (x - (1 << i) >= 0) x -= (1 << i), v = sp[v][i];
		return v;
	}
}
ll getfar(ll v, ll ban) {
	if (dir[v] != ban) return dir[v];
	return ddir[v];
}
ll getfar(ll v, ll ban1, ll ban2) {
	if (ban1 > ban2) swap(ban1, ban2);
	if (ban2 == -1) return dir[v];
	if (ban1 == -1) return getfar(v, ban2);
	if (dir[v] != ban1 && dir[v] != ban2) return dir[v];
	if (ddir[v] != ban1 && ddir[v] != ban2) return ddir[v];
	return dddir[v];
}
ll getind(vector<ll>& v, ll c) {
	return lower_bound(v.begin(), v.end(), c) - v.begin();
}
//r1 : previous root
void prop(ll r1, ll r2) {
	if (ddir[r2] == -1) update(r2, dis(sav[r2][dir[r2]], r2));
	else update(r2, dis(r2, sav[r2][dir[r2]]) + dis(r2, sav[r2][ddir[r2]]));
	ll ind = getind(adj[r1], r2);
	ll f1 = getfar(r1, ind);
	ll f2 = getfar(r1, ind, f1);
	if (f1 == -1) update(r1, 0);
	else if (f2 == -1) update(r1, dis(r1, sav[r1][f1]));
	else update(r1, dis(r1, sav[r1][f1]) + dis(r1, sav[r1][f2]));
}
void dfs(ll x, ll p = 0) {
	ll i;
	for (i = 0; i < adj[x].size(); i++) {
		ll fardir = getfar(adj[x][i], getind(adj[adj[x][i]], x));
		ll farv = sav[x][i];
		ll fardis = dis(x, farv);
		ll res = mxval(farv, adj[x][i]);
		if (res >= fardis) continue;
		ll xx = (fardis - 1) / 2;
		ll root = prtx(x, farv, xx);
		if (lca(root, x) == root) revtree[prtx(x, root, 1)].push_back(C[x]);
		else subtree[root].push_back(C[x]);
	}
	for (auto v : adj[x]) {
		if (v == p) continue;
		prop(x, v);
		dfs(v, x);
		prop(v, x);
	}
}
ll mp[MAX];
ll anscnt;
void getans(ll x, ll p = 0) {
	for (auto c : subtree[x]) {
		if (!mp[c]) anscnt++;
		mp[c]++;
	}
	for (auto c : revtree[x]) {
		mp[c]--;
		if (!mp[c]) anscnt--;
	}
	ans[x] = anscnt;
	for (auto v : adj[x]) {
		if (v == p) continue;
		getans(v, x);
	}
	for (auto c : revtree[x]) {
		if (!mp[c]) anscnt++;
		mp[c]++;
	}
	for (auto c : subtree[x]) {
		mp[c]--;
		if (!mp[c]) anscnt--;
	}
}
void calcp(ll x, ll p = 0) {
	if (x != 1) {
		if (p == 1) sav[x][getind(adj[x], p)] = rev[p][getind(adj[p], x)];
		else {
			ll v1 = rev[p][getind(adj[p], x)];
			ll v2 = sav[p][getind(adj[p], sp[p][0])];
			if (v1 > v2) swap(v1, v2);
			if (dis(x, v1) >= dis(x, v2)) sav[x][getind(adj[x], p)] = v1;
			else sav[x][getind(adj[x], p)] = v2;
		}
	}
	for (auto v : adj[x]) if (v != p) calcp(v, x);
}
signed main() {
	ios::sync_with_stdio(false), cin.tie(0);
	depth[0] = -1;
	ll N, M;
	cin >> N >> M;
	ll i, j;
	ll a, b;
	for (i = 1; i < N; i++) cin >> a >> b, adj[a].push_back(b), adj[b].push_back(a);
	for (i = 1; i <= N; i++) cin >> C[i];
	for (i = 1; i <= N; i++) sort(adj[i].begin(), adj[i].end());
	init(1);
	calc(1);
	calcp(1);
	cnt = 0;
	chain.push_back(vector<ll>());
	make_chain(1);
	make_tree();
	for (i = 1; i <= N; i++) {
		ll mx = 0, mv = 0;
		dir[i] = ddir[i] = dddir[i] = -1;
		for (j = 0; j < adj[i].size(); j++) if (mx < dis(i, sav[i][j])) mx = dis(i, sav[i][j]), dir[i] = j;
		mx = 0;
		for (j = 0; j < adj[i].size(); j++) {
			if (j == dir[i]) continue;
			if (mx < dis(i, sav[i][j])) mx = dis(i, sav[i][j]), ddir[i] = j;
		}
		mx = 0;
		for (j = 0; j < adj[i].size(); j++) {
			if (j == dir[i] || j == ddir[i]) continue;
			if (mx < dis(i, sav[i][j])) mx = dis(i, sav[i][j]), dddir[i] = j;
		}
		if (i != 1) {
			ll p = getind(adj[i], sp[i][0]);
			ll r = getfar(i, p);
			ll rr = getfar(i, p, r);
			ll xx = 0;
			if (r != -1) xx += dis(i, sav[i][r]);
			if (rr != -1) xx += dis(i, sav[i][rr]);
			update(i, xx);
		}
		else {
			ll dd;
			dd = ddir[1];
			if (dd == -1) update(1, depth[sav[1][dir[1]]]);
			else update(1, depth[sav[1][dd]] + depth[sav[1][dir[1]]]);
		}
	}
	subtree.resize(N + 1);
	revtree.resize(N + 1);
	//<=700ms
	dfs(1);
	for (i = 1; i <= N; i++) {
		if (!revtree[i].empty()) sort(revtree[i].begin(), revtree[i].end());
		if (!subtree[i].empty()) sort(subtree[i].begin(), subtree[i].end());
		revtree[i].erase(unique(revtree[i].begin(), revtree[i].end()), revtree[i].end());
		subtree[i].erase(unique(subtree[i].begin(), subtree[i].end()), subtree[i].end());
		for (auto c : revtree[i]) {
			if (!mp[c]) anscnt++;
			mp[c]++;
		}
	}
	getans(1);
	for (i = 1; i <= N; i++) cout << ans[i] << ln;
}

Compilation message

joi2019_ho_t5.cpp: In function 'll init(ll, ll, ll)':
joi2019_ho_t5.cpp:66:5: warning: unused variable 'mx' [-Wunused-variable]
   66 |  ll mx = 0;
      |     ^~
joi2019_ho_t5.cpp: In function 'void calc(ll, ll)':
joi2019_ho_t5.cpp:80:16: warning: comparison of integer expressions of different signedness: 'll' {aka 'long long int'} and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   80 |  for (i = 0; i < adj[x].size(); i++) {
      |              ~~^~~~~~~~~~~~~~~
joi2019_ho_t5.cpp:97:17: warning: comparison of integer expressions of different signedness: 'll' {aka 'long long int'} and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   97 |   for (i = 0; i < adj[x].size(); i++) {
      |               ~~^~~~~~~~~~~~~~~
joi2019_ho_t5.cpp:104:17: warning: comparison of integer expressions of different signedness: 'll' {aka 'long long int'} and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  104 |   for (i = 0; i < adj[x].size(); i++) {
      |               ~~^~~~~~~~~~~~~~~
joi2019_ho_t5.cpp:110:16: warning: comparison of integer expressions of different signedness: 'll' {aka 'long long int'} and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  110 |  for (i = 0; i < adj[x].size(); i++) {
      |              ~~^~~~~~~~~~~~~~~
joi2019_ho_t5.cpp: In function 'void make_tree()':
joi2019_ho_t5.cpp:135:16: warning: comparison of integer expressions of different signedness: 'll' {aka 'long long int'} and 'std::vector<std::vector<long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  135 |  for (i = 0; i < chain.size(); i++) chainseg.push_back(segtree(chain[i].size()));
      |              ~~^~~~~~~~~~~~~~
joi2019_ho_t5.cpp: In function 'void dfs(ll, ll)':
joi2019_ho_t5.cpp:210:16: warning: comparison of integer expressions of different signedness: 'll' {aka 'long long int'} and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  210 |  for (i = 0; i < adj[x].size(); i++) {
      |              ~~^~~~~~~~~~~~~~~
joi2019_ho_t5.cpp:211:6: warning: unused variable 'fardir' [-Wunused-variable]
  211 |   ll fardir = getfar(adj[x][i], getind(adj[adj[x][i]], x));
      |      ^~~~~~
joi2019_ho_t5.cpp: In function 'int main()':
joi2019_ho_t5.cpp:286:17: warning: comparison of integer expressions of different signedness: 'll' {aka 'long long int'} and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  286 |   for (j = 0; j < adj[i].size(); j++) if (mx < dis(i, sav[i][j])) mx = dis(i, sav[i][j]), dir[i] = j;
      |               ~~^~~~~~~~~~~~~~~
joi2019_ho_t5.cpp:288:17: warning: comparison of integer expressions of different signedness: 'll' {aka 'long long int'} and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  288 |   for (j = 0; j < adj[i].size(); j++) {
      |               ~~^~~~~~~~~~~~~~~
joi2019_ho_t5.cpp:293:17: warning: comparison of integer expressions of different signedness: 'll' {aka 'long long int'} and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  293 |   for (j = 0; j < adj[i].size(); j++) {
      |               ~~^~~~~~~~~~~~~~~
joi2019_ho_t5.cpp:284:14: warning: unused variable 'mv' [-Wunused-variable]
  284 |   ll mx = 0, mv = 0;
      |              ^~

Subtask #1
4.0 / 4.0

# 결과 실행 시간 메모리 Grader output
1 Correct 9 ms 14540 KB Output is correct
2 Correct 17 ms 15540 KB Output is correct
3 Correct 15 ms 15108 KB Output is correct
4 Correct 19 ms 15476 KB Output is correct
5 Correct 18 ms 15660 KB Output is correct
6 Correct 22 ms 15572 KB Output is correct
7 Correct 24 ms 15560 KB Output is correct
8 Correct 19 ms 15668 KB Output is correct
9 Correct 19 ms 15564 KB Output is correct
10 Correct 21 ms 15632 KB Output is correct
11 Correct 18 ms 15756 KB Output is correct
12 Correct 18 ms 15748 KB Output is correct
13 Correct 22 ms 15576 KB Output is correct
14 Correct 19 ms 15648 KB Output is correct
15 Correct 19 ms 15692 KB Output is correct
16 Correct 16 ms 15820 KB Output is correct
17 Correct 21 ms 15820 KB Output is correct
18 Correct 20 ms 15624 KB Output is correct
19 Correct 19 ms 15564 KB Output is correct
20 Correct 26 ms 15628 KB Output is correct
21 Correct 20 ms 15544 KB Output is correct
22 Correct 18 ms 15624 KB Output is correct
23 Correct 19 ms 15564 KB Output is correct
24 Correct 18 ms 15628 KB Output is correct
25 Correct 18 ms 15636 KB Output is correct
26 Correct 16 ms 15808 KB Output is correct
27 Correct 21 ms 15692 KB Output is correct
28 Correct 20 ms 15692 KB Output is correct
29 Correct 20 ms 15692 KB Output is correct
30 Correct 15 ms 15820 KB Output is correct
31 Correct 22 ms 15692 KB Output is correct
32 Correct 20 ms 15592 KB Output is correct

Subtask #2
0 / 32.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1012 ms 76864 KB Output is correct
2 Correct 1885 ms 80444 KB Output is correct
3 Correct 264 ms 29604 KB Output is correct
4 Correct 1801 ms 122972 KB Output is correct
5 Execution timed out 2071 ms 114956 KB Time limit exceeded
6 Halted 0 ms 0 KB -

Subtask #3
0 / 32.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1369 ms 101152 KB Output is correct
2 Execution timed out 2050 ms 113772 KB Time limit exceeded
3 Halted 0 ms 0 KB -

Subtask #4
0 / 32.0

# 결과 실행 시간 메모리 Grader output
1 Correct 9 ms 14540 KB Output is correct
2 Correct 17 ms 15540 KB Output is correct
3 Correct 15 ms 15108 KB Output is correct
4 Correct 19 ms 15476 KB Output is correct
5 Correct 18 ms 15660 KB Output is correct
6 Correct 22 ms 15572 KB Output is correct
7 Correct 24 ms 15560 KB Output is correct
8 Correct 19 ms 15668 KB Output is correct
9 Correct 19 ms 15564 KB Output is correct
10 Correct 21 ms 15632 KB Output is correct
11 Correct 18 ms 15756 KB Output is correct
12 Correct 18 ms 15748 KB Output is correct
13 Correct 22 ms 15576 KB Output is correct
14 Correct 19 ms 15648 KB Output is correct
15 Correct 19 ms 15692 KB Output is correct
16 Correct 16 ms 15820 KB Output is correct
17 Correct 21 ms 15820 KB Output is correct
18 Correct 20 ms 15624 KB Output is correct
19 Correct 19 ms 15564 KB Output is correct
20 Correct 26 ms 15628 KB Output is correct
21 Correct 20 ms 15544 KB Output is correct
22 Correct 18 ms 15624 KB Output is correct
23 Correct 19 ms 15564 KB Output is correct
24 Correct 18 ms 15628 KB Output is correct
25 Correct 18 ms 15636 KB Output is correct
26 Correct 16 ms 15808 KB Output is correct
27 Correct 21 ms 15692 KB Output is correct
28 Correct 20 ms 15692 KB Output is correct
29 Correct 20 ms 15692 KB Output is correct
30 Correct 15 ms 15820 KB Output is correct
31 Correct 22 ms 15692 KB Output is correct
32 Correct 20 ms 15592 KB Output is correct
33 Correct 1012 ms 76864 KB Output is correct
34 Correct 1885 ms 80444 KB Output is correct
35 Correct 264 ms 29604 KB Output is correct
36 Correct 1801 ms 122972 KB Output is correct
37 Execution timed out 2071 ms 114956 KB Time limit exceeded
38 Halted 0 ms 0 KB -