Submission #442422

#TimeUsernameProblemLanguageResultExecution timeMemory
442422koioi.org-koosagaCounterspells (CPSPC17_counterspells)C++17
100 / 100
773 ms41068 KiB
#include <bits/stdc++.h>
#define sz(v) ((int)(v).size())
#define all(v) (v).begin(), (v).end()
using namespace std;
using lint = long long;
using pi = pair<int, int>;
const int MAXN = 200005;
const int mod = 1e9 + 7;
 
int n, p[MAXN], dep[MAXN], cnt[MAXN];
vector<int> gph[MAXN];

int sz[MAXN], rev[MAXN];
int din[MAXN], dout[MAXN], chn[MAXN], piv;

void hld(int x){
	din[x] = ++piv;
	rev[din[x]] = x;
	if(sz(gph[x])){
		chn[gph[x][0]] = chn[x];
		hld(gph[x][0]);
		for(int i = 1; i < sz(gph[x]); i++){
			chn[gph[x][i]] = gph[x][i];
			hld(gph[x][i]);
		}
	}
	dout[x] = piv;
}

struct bit{
	int tree[MAXN];
	void add(int x, int v){
		x += 2;
		for(int i = x; i < MAXN; i += i & -i) tree[i] += v;
	}
	int query(int x){
		x += 2;
		int ret = 0;
		for(int i = x; i; i -= i & -i) ret += tree[i];
		return ret;
	}
}bit;

set<int> cnd;

pi forward(int x){
	int y = x;
	while(true){
		int nxt = chn[x];
		auto ll = cnd.lower_bound(din[x]);
		while(ll != cnd.begin()){
			ll--;
			if(*ll < din[nxt]) break;
			x = rev[*ll + 1];
			if(bit.query(din[x]) != bit.query(din[p[x]])){
				return pi(x, dep[y] - dep[x]);
			}
			else ll = cnd.erase(ll);
		}
		x = chn[x];
		if(x == 0) break;
		if(bit.query(din[x]) == bit.query(din[p[x]])){
			x = p[x];
		}
		else break;
	}
	return pi(x, dep[y] - dep[x]);
}

void witness(int v){
	if(v == -1) return;
	if(cnd.find(din[v]) != cnd.end()) cnd.erase(din[v]);
	if(bit.query(din[v]) != bit.query(din[v] + 1)) cnd.insert(din[v]);
}

void add_until(int s, int e, int x){
	if(s == -1) return;
	if(e == -1) e = 0;
	while(chn[s] != chn[e]){
		bit.add(din[chn[s]], +x);
		bit.add(din[s] + 1, -x);
		witness(s);
		s = p[chn[s]];
	}
	bit.add(din[e], +x);
	bit.add(din[s] + 1, -x);
	witness(p[e]);
	witness(s);
}

int main(){
	scanf("%d",&n);
	p[0] = -1;
	for(int i = 1; i <= n; i++){
		scanf("%d",&p[i]);
		dep[i] = dep[p[i]] + 1;
		gph[p[i]].push_back(i);
	}
	for(int i = n; i; i--){
		sz[i]++;
		if(~p[i]) sz[p[i]] += sz[i];
		sort(all(gph[i]), [&](const int &a, const int &b){
			return sz[a] > sz[b];
		});
	}
	hld(0);
	for(int i = 0; i <= n; i++){
		if(dep[i] % 2 == 1){
			bit.add(din[i], +1);
			bit.add(din[i] + 1, -1);
		}
		if(i) cnd.insert(din[i]);
	}
	for(int i = 1; i <= n; i++){
		int ans = 0;
		if(dep[i] % 2){
			int j = i;
			if(bit.query(din[p[j]]) == 0){
				tie(j, ans) = forward(p[j]);
				ans++;
			}
			add_until(p[i], p[j], 1);
		}
		else{
			int j = i;
			if(bit.query(din[p[j]]) == 1){
				tie(j, ans) = forward(p[j]);
				ans++;
			}
			add_until(p[i], p[j], -1);
		}
		printf("%d\n", ans);
	}
}

Compilation message (stderr)

Main.cpp: In function 'int main()':
Main.cpp:92:7: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
   92 |  scanf("%d",&n);
      |  ~~~~~^~~~~~~~~
Main.cpp:95:8: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
   95 |   scanf("%d",&p[i]);
      |   ~~~~~^~~~~~~~~~~~
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