oj.uz

Submission #131898

# Submission time Handle Problem Language Result Execution time Memory
131898 2019-07-18T01:30:57 Z dndhk None (KOI18_family) C++14
0 / 100
 18 ms 14712 KB 
#include <bits/stdc++.h>

#define pb push_back
#define all(v) ((v).begin(), (v).end())
#define sortv(v) sort(all(v))
#define sz(v) ((int)(v).size())
#define uniqv(v) (v).erase(unique(all(v)), (v).end())
#define umax(a, b) (a)=max((a), (b))
#define umin(a, b) (a)=min((a), (b))
#define FOR(i,a,b) for(int i = (a); i <= (b); i++)
#define rep(i,n) FOR(i,1,n)
#define rep0(i,n) FOR(i,0,(int)(n)-1)
#define FI first
#define SE second
#define INF 2000000000
#define INFLL 1000000000000000000LL


using namespace std;
typedef long long ll;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;

const int MAX_N = 300000;
const int MAX_K = 20;

int K;
struct Tree{
	int N, r;
	int p[MAX_N+1];
	bool vst[MAX_N+1];
	vector<int> gp[MAX_N+1];
	int lv[MAX_N+1], par[MAX_N+1][MAX_K+1], in[MAX_N+1], out[MAX_N+1], cnt = 0;
	void dfs(int x){
		if(p[x]==0)	cnt = 0;
		in[x] = ++cnt;	vst[x] = true; lv[x] = (p[x]==0 ? 1 : lv[p[x]]+1);
		par[x][0] = p[x];
		for(int i=1; i<=MAX_K; i++)	par[x][i] = par[par[x][i-1]][i-1];
		for(int i=0; i<gp[x].size(); i++){
			if(gp[x][i]==p[x])	continue;
			p[gp[x][i]] = x;
			dfs(gp[x][i]);
		}
		out[x] = cnt;
	}
	int lca(int x, int y){
		for(int i=MAX_K; i>=0; i--){
			if(lv[par[x][i]]>=lv[y])	x = par[x][i];
			if(lv[par[y][i]]>=lv[x])	y = par[y][i];
		}
		for(int i=MAX_K; i>=0; i--){
			if(par[x][i]!=par[y][i]){
				x = par[x][i]; y = par[y][i];
			}
		}
		if(x!=y)	x = par[x][0];
		return x;
	}
};
Tree T[2];

vector<pii> vt;
vector<pii> upd;
int g[MAX_N+1], l[MAX_N+1], r[MAX_N+1], mlv[MAX_N+1];

void init(int x){
	for(int i=0; i<x; i++){
		g[i] = l[i] = r[i] = i;
		mlv[i] = INF;
	}
}

int find_g(int x){
	return (x==g[x]) ? x : g[x] = find_g(g[x]);
}

void union_g(int x, int y){
	x = find_g(x); y = find_g(y);
	if(x>y)	{int tmp = x; x = y; y = tmp;}
	g[y] = x;
	r[x] = r[y];
	mlv[x] = min(mlv[x], mlv[y]);
}

bool in[MAX_N+1];

int main(){
	scanf("%d%d%d", &T[0].N, &T[1].N, &K);
	for(int i=0; i<2; i++){
		for(int j=1; j<=T[i].N; j++){
			scanf("%d", &T[i].p[j]);
			if(T[i].p[j]==0)	T[i].r = j;
			else if(i==0)	T[i].gp[T[i].p[j]].pb(j);
		}
		if(i==0)	T[i].dfs(T[i].r);
	}
	for(int i=1; i<=K; i++)		vt.pb({T[0].in[i], i});
	sort(vt.begin(), vt.end());
	for(int i=0; i<K; i++){
		int n = vt[i].second;
		//cout<<n<<" ";
		while(1){
			if(in[n])	break;
			in[n] = true;
			if(T[1].p[n]==0)	break;
			T[1].gp[T[1].p[n]].pb(n);
			n = T[1].p[n];
		}
	}
	T[1].dfs(T[1].r);
	while(!vt.empty())	vt.pop_back();
	for(int i=1; i<=K; i++)		vt.pb({T[1].in[i], i});
	for(int i=1; i<=T[0].N; i++){
		T[0].gp[i].clear();
		in[i] = false;
	}
	sort(vt.begin(), vt.end());
	//cout<<endl;
	for(int i=0; i<K; i++){
		int n = vt[i].second;
		//cout<<n<<" ";
		while(1){
			if(in[n])	break;
			in[n] = true;
			if(T[0].p[n]==0)	break;
			T[0].gp[T[0].p[n]].pb(n);
			n = T[0].p[n];
		}
	}
	T[0].dfs(T[0].r);/*
	cout<<endl;
	for(int i=1; i<=K; i++){
		cout<<T[0].in[i]<<" ";
	}
	cout<<endl;
	for(int i=0; i<K; i++){
		cout<<vt[i].second<<" ";
	}*/
	for(int i=0; i<K-1; i++){
		if(T[0].in[vt[i].second] > T[0].in[vt[i+1].second]){
			printf("NO"); return 0;
		}if(T[1].in[vt[i].second] > T[1].in[vt[i+1].second]){
			printf("NO"); return 0;
		}
	}

	for(int i=0; i<vt.size()-1; i++){
		int n1 = vt[i].second, n2 = vt[i+1].second;
		upd.pb({-T[0].lv[T[0].lca(n1, n2)], i});
	}
	sort(upd.begin(), upd.end());
	init(K);
	int i1, i2, n1, n2, g1, g2, l1, l2, l3, l4, l5, l6;
	for(int i=0; i<upd.size(); i++){
		i1 = upd[i].second; i2 = upd[i].second+1;
		n1 = vt[i1].second; n2 = vt[i2].second;
		g1 = find_g(i1); g2 = find_g(i2);
		l1 = T[1].lv[T[1].lca(n1, n2)];
		l2 = (g1==0) ? 0 : min(T[1].lv[T[1].lca(vt[g1-1].second, vt[g1].second)], min(mlv[g1], mlv[find_g(g1-1)]));
		l3 = (r[g2]==K-1) ? 0 : min(T[1].lv[T[1].lca(vt[r[g2]].second, vt[r[g2]+1].second)], min(mlv[g2], mlv[find_g(r[g2]+1)]));
		l4 = T[0].lv[T[0].lca(n1, n2)];
		l5 = (g1==0) ? INF : T[0].lv[T[0].lca(vt[g1-1].second, vt[g1].second)];
		l6 = (r[g2]==K-1) ? INF : T[0].lv[T[0].lca(vt[r[g2]].second, vt[r[g2]+1].second)];
		//cout<<n1<<" "<<n2<<endl;
		//cout<<l1<<" "<<l2<<" "<<l3<<" "<<l4<<" "<<l5<<" "<<l6<<endl;
		if((l3>l1 && l4!=l6) || (l2>l1 && l4!=l5)){
			printf("NO");
			return 0;
		}
		mlv[find_g(i1)] = min(mlv[find_g(i1)], l1);
		union_g(i1, i2);
	}
	printf("YES");
	return 0;
}

Compilation message

family.cpp: In member function 'void Tree::dfs(int)':
family.cpp:39:17: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
   for(int i=0; i<gp[x].size(); i++){
                ~^~~~~~~~~~~~~
family.cpp: In function 'int main()':
family.cpp:147:16: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
  for(int i=0; i<vt.size()-1; i++){
               ~^~~~~~~~~~~~
family.cpp:154:16: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
  for(int i=0; i<upd.size(); i++){
               ~^~~~~~~~~~~
family.cpp:88:7: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
  scanf("%d%d%d", &T[0].N, &T[1].N, &K);
  ~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
family.cpp:91:9: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
    scanf("%d", &T[i].p[j]);
    ~~~~~^~~~~~~~~~~~~~~~~~

Subtask #1
0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 17 ms 14584 KB Output is correct
2 Correct 18 ms 14712 KB Output is correct
3 Correct 18 ms 14456 KB Output is correct
4 Correct 14 ms 14456 KB Output is correct
5 Correct 18 ms 14456 KB Output is correct
6 Correct 15 ms 14456 KB Output is correct
7 Correct 15 ms 14584 KB Output is correct
8 Correct 15 ms 14456 KB Output is correct
9 Correct 15 ms 14456 KB Output is correct
10 Correct 15 ms 14456 KB Output is correct
11 Correct 15 ms 14460 KB Output is correct
12 Incorrect 15 ms 14552 KB Output isn't correct
13 Halted 0 ms 0 KB -

Subtask #2
0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 17 ms 14584 KB Output is correct
2 Correct 18 ms 14712 KB Output is correct
3 Correct 18 ms 14456 KB Output is correct
4 Correct 14 ms 14456 KB Output is correct
5 Correct 18 ms 14456 KB Output is correct
6 Correct 15 ms 14456 KB Output is correct
7 Correct 15 ms 14584 KB Output is correct
8 Correct 15 ms 14456 KB Output is correct
9 Correct 15 ms 14456 KB Output is correct
10 Correct 15 ms 14456 KB Output is correct
11 Correct 15 ms 14460 KB Output is correct
12 Incorrect 15 ms 14552 KB Output isn't correct
13 Halted 0 ms 0 KB -

Subtask #3
0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 17 ms 14584 KB Output is correct
2 Correct 18 ms 14712 KB Output is correct
3 Correct 18 ms 14456 KB Output is correct
4 Correct 14 ms 14456 KB Output is correct
5 Correct 18 ms 14456 KB Output is correct
6 Correct 15 ms 14456 KB Output is correct
7 Correct 15 ms 14584 KB Output is correct
8 Correct 15 ms 14456 KB Output is correct
9 Correct 15 ms 14456 KB Output is correct
10 Correct 15 ms 14456 KB Output is correct
11 Correct 15 ms 14460 KB Output is correct
12 Incorrect 15 ms 14552 KB Output isn't correct
13 Halted 0 ms 0 KB -

Subtask #4
0 / 41.0

# Verdict Execution time Memory Grader output
1 Correct 17 ms 14584 KB Output is correct
2 Correct 18 ms 14712 KB Output is correct
3 Correct 18 ms 14456 KB Output is correct
4 Correct 14 ms 14456 KB Output is correct
5 Correct 18 ms 14456 KB Output is correct
6 Correct 15 ms 14456 KB Output is correct
7 Correct 15 ms 14584 KB Output is correct
8 Correct 15 ms 14456 KB Output is correct
9 Correct 15 ms 14456 KB Output is correct
10 Correct 15 ms 14456 KB Output is correct
11 Correct 15 ms 14460 KB Output is correct
12 Incorrect 15 ms 14552 KB Output isn't correct
13 Halted 0 ms 0 KB -