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Submission #289323

# Submission time Handle Problem Language Result Execution time Memory
289323 2020-09-02T14:42:03 Z TadijaSebez Capital City (JOI20_capital_city) C++11
11 / 100
 3000 ms 51064 KB 
#include <bits/stdc++.h>
using namespace std;
#define pb push_back
const int N=200050;
const int L=18;
int up[N],head[N],c[N];
int Find(int x){return up[x]==x?x:up[x]=Find(up[x]);}
vector<int> nodes[N],E[N];
int par[N][L],dep[N];
void Tree(int u,int p){
	par[u][0]=p;
	dep[u]=dep[p]+1;
	for(int i=1;i<L;i++)par[u][i]=par[par[u][i-1]][i-1];
	for(int v:E[u])if(v!=p)Tree(v,u);
}
int LCA(int u,int v){
	if(dep[u]<dep[v])swap(u,v);
	for(int i=L-1;~i;i--)if(dep[par[u][i]]>=dep[v])u=par[u][i];
	for(int i=L-1;~i;i--)if(par[u][i]!=par[v][i])u=par[u][i],v=par[v][i];
	return u==v?v:par[v][0];
}
void Rem(int i){for(int j:nodes[i])up[j]=par[j][0];}
int ptr[N];
int Get(int col){
	while(ptr[col]<nodes[col].size()&&dep[Find(nodes[col][ptr[col]])]<dep[head[col]])ptr[col]++;
	if(ptr[col]==nodes[col].size())return 0;
	else return c[Find(nodes[col][ptr[col]])];
}
int disc[N],low[N],tid,ans;
stack<int> stk;
bool in[N],has_out[N];
int val[N];
void AddHLD(int col){
	for(int i:nodes[col])val[i]=disc[col];
}
void DelHLD(int col){
	for(int i:nodes[col])val[i]=N;
}
int TakeMin(int col){
	int ans=N;
	for(int i:nodes[col]){
		for(int j=par[i][0];dep[j]>=dep[head[col]]&&c[j]!=col;j=par[j][0]){
			ans=min(ans,val[j]);
		}
	}
	return ans;
}
int HasOut(int col){
	for(int i:nodes[col]){
		for(int j=par[i][0];dep[j]>=dep[head[col]]&&c[j]!=col;j=par[j][0]){
			if(!in[c[j]])return 1;
		}
	}
	return 0;
}
void DFS(int u){
	Rem(u);
	disc[u]=low[u]=++tid;
	stk.push(u);in[u]=1;
	AddHLD(u);
	int v;
	while(v=Get(u)){
		DFS(v);
		low[u]=min(low[u],low[v]);
	}
	//other edges...
	low[u]=min(low[u],TakeMin(u));
	has_out[u]=HasOut(u);
	if(low[u]==disc[u]){
		bool ok=1;
		int sz=0;
		do{
			v=stk.top();
			stk.pop();
			in[v]=0;
			DelHLD(v);
			if(has_out[v])ok=0;
			sz++;
		}while(v!=u);
		if(ok)ans=min(ans,sz-1);
	}
}
int main(){
	int n,k;
	scanf("%i %i",&n,&k);
	for(int i=1;i<=n;i++)up[i]=i,val[i]=N;
	for(int i=1,u,v;i<n;i++)scanf("%i %i",&u,&v),E[u].pb(v),E[v].pb(u);
	Tree(1,0);
	for(int i=1;i<=n;i++)scanf("%i",&c[i]),nodes[c[i]].pb(i);
	for(int i=1;i<=k;i++){
		head[i]=nodes[i][0];
		for(int j:nodes[i])head[i]=LCA(head[i],j);
	}
	ans=n;
	for(int i=1;i<=k;i++)if(!disc[i])DFS(i);
	printf("%i\n",ans);
	return 0;
}

Compilation message

capital_city.cpp: In function 'int Get(int)':
capital_city.cpp:25:16: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   25 |  while(ptr[col]<nodes[col].size()&&dep[Find(nodes[col][ptr[col]])]<dep[head[col]])ptr[col]++;
      |        ~~~~~~~~^~~~~~~~~~~~~~~~~~
capital_city.cpp:26:13: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   26 |  if(ptr[col]==nodes[col].size())return 0;
      |     ~~~~~~~~^~~~~~~~~~~~~~~~~~~
capital_city.cpp: In function 'void DFS(int)':
capital_city.cpp:62:9: warning: suggest parentheses around assignment used as truth value [-Wparentheses]
   62 |  while(v=Get(u)){
      |        ~^~~~~~~
capital_city.cpp: In function 'int main()':
capital_city.cpp:85:7: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
   85 |  scanf("%i %i",&n,&k);
      |  ~~~~~^~~~~~~~~~~~~~~
capital_city.cpp:87:31: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
   87 |  for(int i=1,u,v;i<n;i++)scanf("%i %i",&u,&v),E[u].pb(v),E[v].pb(u);
      |                          ~~~~~^~~~~~~~~~~~~~~
capital_city.cpp:89:28: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
   89 |  for(int i=1;i<=n;i++)scanf("%i",&c[i]),nodes[c[i]].pb(i);
      |                       ~~~~~^~~~~~~~~~~~

Subtask #1
1.0 / 1.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 9856 KB Output is correct
2 Correct 6 ms 9728 KB Output is correct
3 Correct 8 ms 9728 KB Output is correct
4 Correct 6 ms 9728 KB Output is correct
5 Correct 6 ms 9728 KB Output is correct
6 Correct 7 ms 9728 KB Output is correct
7 Correct 6 ms 9728 KB Output is correct
8 Correct 6 ms 9728 KB Output is correct
9 Correct 6 ms 9728 KB Output is correct
10 Correct 6 ms 9728 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 9856 KB Output is correct
2 Correct 6 ms 9728 KB Output is correct
3 Correct 8 ms 9728 KB Output is correct
4 Correct 6 ms 9728 KB Output is correct
5 Correct 6 ms 9728 KB Output is correct
6 Correct 7 ms 9728 KB Output is correct
7 Correct 6 ms 9728 KB Output is correct
8 Correct 6 ms 9728 KB Output is correct
9 Correct 6 ms 9728 KB Output is correct
10 Correct 6 ms 9728 KB Output is correct
11 Correct 8 ms 10112 KB Output is correct
12 Correct 9 ms 10112 KB Output is correct
13 Correct 9 ms 10112 KB Output is correct
14 Correct 9 ms 10112 KB Output is correct
15 Correct 9 ms 10112 KB Output is correct
16 Correct 10 ms 10112 KB Output is correct
17 Correct 11 ms 10112 KB Output is correct
18 Correct 12 ms 10112 KB Output is correct
19 Correct 12 ms 10164 KB Output is correct
20 Correct 10 ms 10112 KB Output is correct
21 Correct 12 ms 10112 KB Output is correct
22 Correct 12 ms 10228 KB Output is correct
23 Correct 15 ms 10112 KB Output is correct
24 Correct 10 ms 10112 KB Output is correct
25 Correct 9 ms 10112 KB Output is correct
26 Correct 10 ms 10112 KB Output is correct
27 Correct 9 ms 10112 KB Output is correct
28 Correct 9 ms 10112 KB Output is correct
29 Correct 9 ms 10112 KB Output is correct
30 Correct 10 ms 10112 KB Output is correct

Subtask #3
0 / 30.0

# Verdict Execution time Memory Grader output
1 Execution timed out 3068 ms 51064 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #4
0 / 59.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 9856 KB Output is correct
2 Correct 6 ms 9728 KB Output is correct
3 Correct 8 ms 9728 KB Output is correct
4 Correct 6 ms 9728 KB Output is correct
5 Correct 6 ms 9728 KB Output is correct
6 Correct 7 ms 9728 KB Output is correct
7 Correct 6 ms 9728 KB Output is correct
8 Correct 6 ms 9728 KB Output is correct
9 Correct 6 ms 9728 KB Output is correct
10 Correct 6 ms 9728 KB Output is correct
11 Correct 8 ms 10112 KB Output is correct
12 Correct 9 ms 10112 KB Output is correct
13 Correct 9 ms 10112 KB Output is correct
14 Correct 9 ms 10112 KB Output is correct
15 Correct 9 ms 10112 KB Output is correct
16 Correct 10 ms 10112 KB Output is correct
17 Correct 11 ms 10112 KB Output is correct
18 Correct 12 ms 10112 KB Output is correct
19 Correct 12 ms 10164 KB Output is correct
20 Correct 10 ms 10112 KB Output is correct
21 Correct 12 ms 10112 KB Output is correct
22 Correct 12 ms 10228 KB Output is correct
23 Correct 15 ms 10112 KB Output is correct
24 Correct 10 ms 10112 KB Output is correct
25 Correct 9 ms 10112 KB Output is correct
26 Correct 10 ms 10112 KB Output is correct
27 Correct 9 ms 10112 KB Output is correct
28 Correct 9 ms 10112 KB Output is correct
29 Correct 9 ms 10112 KB Output is correct
30 Correct 10 ms 10112 KB Output is correct
31 Execution timed out 3068 ms 51064 KB Time limit exceeded
32 Halted 0 ms 0 KB -