답안 #201162

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
201162 2020-02-09T13:34:22 Z forelax Min-max tree (BOI18_minmaxtree) C++14
29 / 100
412 ms 21864 KB
#include<bits/stdc++.h>
using namespace std;
#define LG 20
struct node{
	vector<int> sparseTable;
	vector<int> neighbours;
	int parent;
	int depth;
	bool built;
	int unionPointer;
	int minQueryInd;
	int maxQueryInd;
	bool isEdgeUsed;
};
vector<node> nodes;
struct query{
	int ind,a,b,c;
};
vector<query> minQ,maxQ;
int n,k;
string s;
vector<int> queryValue;
vector<vector<pair<int,int> > > queryEdge;
vector<bool> isQueryActive;
vector<int> activeDegree;
vector<int> toProcess;
void build(int ind);
int lca(int a,int b);
int unionTop(int ind){return nodes[ind].unionPointer==ind?ind:nodes[ind].unionPointer=unionTop(nodes[ind].unionPointer);}
int main(){
	ios::sync_with_stdio(false);
	cin>>n;
	nodes.resize(n,{{},{},0,0,false,0,-1,-1,false});
	for(int i = 1,a,b ; i < n ; i ++){
		cin>>a>>b;--a;--b;
		nodes[a].neighbours.push_back(b);
		nodes[b].neighbours.push_back(a);
	}
	build(0);
	cin>>k;
	queryValue.resize(k);
	for(int i = 0,a,b,c ; i < k ; i ++){
		cin>>s>>a>>b>>c;
		if(s=="m")
			minQ.push_back({i,--a,--b,c});
		else
			maxQ.push_back({i,--a,--b,c});
		queryValue[i]=c;
	}
	sort(minQ.begin(),minQ.end(),[](const query& a,const query& b){return a.c>b.c;});
	sort(maxQ.begin(),maxQ.end(),[](const query& a,const query& b){return a.c<b.c;});
	for(int i = 0 ; i < n ; i ++)nodes[i].unionPointer=i;
	for(query q:minQ){
		int l=lca(q.a,q.b);
		while((q.a=unionTop(q.a))!=unionTop(l)){
			nodes[q.a].minQueryInd=q.ind;
			nodes[q.a].unionPointer=unionTop(nodes[q.a].parent);
		}
		while((q.b=unionTop(q.b))!=unionTop(l)){
			nodes[q.b].minQueryInd=q.ind;
			nodes[q.b].unionPointer=unionTop(nodes[q.b].parent);
		}
	}
	for(int i = 0 ; i < n ; i ++)nodes[i].unionPointer=i;
	for(query q:maxQ){
		int l=lca(q.a,q.b);
		while((q.a=unionTop(q.a))!=unionTop(l)){
			nodes[q.a].maxQueryInd=q.ind;
			nodes[q.a].unionPointer=unionTop(nodes[q.a].parent);
		}
		while((q.b=unionTop(q.b))!=unionTop(l)){
			nodes[q.b].maxQueryInd=q.ind;
			nodes[q.b].unionPointer=unionTop(nodes[q.b].parent);
		}
	}
	queryEdge.resize(k);
	isQueryActive.resize(k);
	activeDegree.resize(k);
	for(int i = 1 ; i < n ; i ++){
		if(nodes[i].minQueryInd!=-1){if(nodes[i].maxQueryInd!=-1){
			queryEdge[nodes[i].minQueryInd].push_back({nodes[i].maxQueryInd,i});
			queryEdge[nodes[i].maxQueryInd].push_back({nodes[i].minQueryInd,i});
			activeDegree[nodes[i].minQueryInd]++;
			activeDegree[nodes[i].maxQueryInd]++;
		}else{
			if(!isQueryActive[nodes[i].minQueryInd]){
				isQueryActive[nodes[i].minQueryInd]=true;
				nodes[i].isEdgeUsed=true;
				toProcess.push_back(nodes[i].minQueryInd);
				cout<<i+1<<" "<<nodes[i].parent+1<<" "<<queryValue[nodes[i].minQueryInd]<<endl;
			}
		}}else{if(nodes[i].maxQueryInd!=-1){
			if(!isQueryActive[nodes[i].maxQueryInd]){
				isQueryActive[nodes[i].maxQueryInd]=true;
				nodes[i].isEdgeUsed=true;
				toProcess.push_back(nodes[i].maxQueryInd);
				cout<<i+1<<" "<<nodes[i].parent+1<<" "<<queryValue[nodes[i].maxQueryInd]<<endl;
			}
		}}
	}
	for(int i = 0 ; i < k ; i ++){
		if(isQueryActive[i]||activeDegree[i]>1)continue;
		isQueryActive[i]=true;
		nodes[queryEdge[i][0].second].isEdgeUsed=true;
		toProcess.push_back(i);
		cout<<queryEdge[i][0].second+1<<" "<<nodes[queryEdge[i][0].second].parent+1<<" "<<queryValue[i]<<endl;
	}
	vector<bool> isQueryProcessed(k);
	for(int i=0 ; i<k ; ){
		int ind;
		if(toProcess.size()){
			ind=toProcess.back();toProcess.pop_back();
		}else{
			if(isQueryProcessed[i]){i++;continue;}
			ind=i++;
			int nodeInd;
			for(pair<int,int> linkedQuery:queryEdge[ind]){
				if(nodes[linkedQuery.second].isEdgeUsed)continue;
				nodeInd=linkedQuery.second;
				break;
			}
			isQueryActive[ind]=true;
			nodes[nodeInd].isEdgeUsed=true;
			cout<<nodeInd+1<<" "<<nodes[nodeInd].parent+1<<" "<<queryValue[ind]<<endl;
		}
		isQueryProcessed[ind]=true;
		for(pair<int,int> linkedQuery:queryEdge[ind]){
			if(isQueryActive[linkedQuery.first])continue;
			if(--activeDegree[linkedQuery.first]==1){
				int nodeInd;
				for(pair<int,int> secondLink:queryEdge[linkedQuery.first]){
					if(nodes[secondLink.second].isEdgeUsed)continue;
					nodeInd=secondLink.second;
					break;
				}
				isQueryActive[linkedQuery.first]=true;
				nodes[nodeInd].isEdgeUsed=true;
				toProcess.push_back(linkedQuery.first);
				cout<<nodeInd+1<<" "<<nodes[nodeInd].parent+1<<" "<<queryValue[linkedQuery.first]<<endl;
			}
		}
	}
	for(int i = 1 ; i < n ; i ++){
		if(!nodes[i].isEdgeUsed){
			if(nodes[i].maxQueryInd==-1&&nodes[i].minQueryInd==-1)
				cout<<i+1<<" "<<nodes[i].parent+1<<" "<<0<<endl;
			else if(nodes[i].maxQueryInd==-1)
				cout<<i+1<<" "<<nodes[i].parent+1<<" "<<queryValue[nodes[i].minQueryInd]<<endl;
			else
				cout<<i+1<<" "<<nodes[i].parent+1<<" "<<queryValue[nodes[i].maxQueryInd]<<endl;
		}
	}
}
void build(int ind){
	nodes[ind].depth=nodes[ nodes[ind].parent ].depth + 1;
	nodes[ind].built=true;
	nodes[ind].sparseTable.resize(LG, nodes[ind].parent);
	for(int i = 1 ; i < LG ; i ++)
		nodes[ind].sparseTable[i]=nodes[ nodes[ind].sparseTable[i-1] ].sparseTable[i-1];
	for(int neighbour:nodes[ind].neighbours){
		if(nodes[neighbour].built)continue;
		nodes[neighbour].parent=ind;
		build(neighbour);
	}
}
int lca(int a,int b){
	if(nodes[a].depth<nodes[b].depth)swap(a,b);
	for(int i = LG -1,h ; i >= 0 ; i --)if(nodes[ h=nodes[a].sparseTable[i] ].depth>=nodes[b].depth)a=h;
	if(a==b)return a;
	for(int i = LG-1,h,g ; i >= 0 ; i --)
		if((h=nodes[a].sparseTable[i])!=(g=nodes[b].sparseTable[i])) a=h,b=g;
	return nodes[a].parent;
}

Compilation message

minmaxtree.cpp: In function 'int main()':
minmaxtree.cpp:130:9: warning: 'nodeInd' may be used uninitialized in this function [-Wmaybe-uninitialized]
     int nodeInd;
         ^~~~~~~
minmaxtree.cpp:116:8: warning: 'nodeInd' may be used uninitialized in this function [-Wmaybe-uninitialized]
    int nodeInd;
        ^~~~~~~
# 결과 실행 시간 메모리 Grader output
1 Correct 5 ms 376 KB Output is correct
2 Correct 5 ms 376 KB Output is correct
3 Correct 5 ms 376 KB Output is correct
4 Correct 5 ms 376 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 411 ms 21352 KB Output is correct
2 Correct 359 ms 19820 KB Output is correct
3 Correct 345 ms 19928 KB Output is correct
4 Correct 412 ms 21864 KB Output is correct
5 Correct 354 ms 19964 KB Output is correct
6 Correct 346 ms 20428 KB Output is correct
7 Correct 315 ms 19956 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 269 ms 17380 KB Output is correct
2 Correct 265 ms 18676 KB Output is correct
3 Correct 311 ms 19612 KB Output is correct
4 Correct 320 ms 20104 KB Output is correct
5 Correct 291 ms 18876 KB Output is correct
6 Correct 314 ms 19400 KB Output is correct
7 Correct 308 ms 19060 KB Output is correct
8 Incorrect 292 ms 18900 KB Expected EOF
# 결과 실행 시간 메모리 Grader output
1 Correct 5 ms 376 KB Output is correct
2 Correct 5 ms 376 KB Output is correct
3 Correct 5 ms 376 KB Output is correct
4 Correct 5 ms 376 KB Output is correct
5 Correct 411 ms 21352 KB Output is correct
6 Correct 359 ms 19820 KB Output is correct
7 Correct 345 ms 19928 KB Output is correct
8 Correct 412 ms 21864 KB Output is correct
9 Correct 354 ms 19964 KB Output is correct
10 Correct 346 ms 20428 KB Output is correct
11 Correct 315 ms 19956 KB Output is correct
12 Correct 269 ms 17380 KB Output is correct
13 Correct 265 ms 18676 KB Output is correct
14 Correct 311 ms 19612 KB Output is correct
15 Correct 320 ms 20104 KB Output is correct
16 Correct 291 ms 18876 KB Output is correct
17 Correct 314 ms 19400 KB Output is correct
18 Correct 308 ms 19060 KB Output is correct
19 Incorrect 292 ms 18900 KB Expected EOF