Submission #914040

# Submission time Handle Problem Language Result Execution time Memory
914040 2024-01-20T21:33:52 Z amirhoseinfar1385 Construction of Highway (JOI18_construction) C++17
100 / 100
360 ms 25040 KB
#pragma GCC optimize("O3,unroll-loops")
#pragma GCC target("avx2")
#include<bits/stdc++.h>
using namespace std;
const int maxn=100000+10;
vector<int>adj[maxn];
int all[maxn],part[maxn],parh[maxn],high[maxn],sz[maxn],n,timea=0;
pair<int,int>stf[maxn];
vector<pair<int,int>>val[maxn];
pair<int,int>alle[maxn];

bool cmp(int a,int b){
	return sz[a]>sz[b];
}

struct fen{
	int fn[maxn];
	vector<int>allv;
	void clear(){
		for(auto x:allv){
			fn[x]=0;
		}
		allv.clear();
	}
	void upd(int i,int w){
		//cout<<"wtf inf: "<<i<<" "<<w<<endl;
		i++;
		while(i<maxn){
			allv.push_back(i);
			fn[i]+=w;
			i+=((-i)&i);
		}
	}
	int pors(int i){
		//cout<<"tof pi: "<<i<<" ";
		i++;
		int ret=0;
		while(i>0){
			ret+=fn[i];
			i-=((-i)&i);
		}
		//cout<<ret<<endl;
		return ret;
	}
}fn;

void pre(int u=1,int par=1){
	if(u!=1){
		sort(adj[u].begin(),adj[u].end());
		adj[u].erase(lower_bound(adj[u].begin(),adj[u].end(),par));
	}
	part[u]=par;
	sz[u]=1;
	for(auto x:adj[u]){
		high[x]=high[u]+1;
		pre(x,u);
		sz[u]+=sz[x];
	}
	sort(adj[u].begin(),adj[u].end(),cmp);
}

void dfs(int u=1,int par=1){
	timea++;
	stf[u].first=timea;
	parh[u]=par;
	if(adj[u].size()>0){
		dfs(adj[u][0],par);
	}
	for(int i=1;i<(int)adj[u].size();i++){
		dfs(adj[u][i],adj[u][i]);
	}
	stf[u].second=timea;
}

void upd(int u,int w){
	//cout<<u<<" "<<w<<" "<<parh[u]<<endl;
	int ted=high[u]-high[parh[u]]+1;
	u=parh[u];
	int now=0;
	while((int)val[u].size()>0){
		if(val[u].back().first+now<=ted){
			now+=val[u].back().first;
			val[u].pop_back();
			continue;
		}
		val[u].back().first-=ted-now;
		break;
	}
	val[u].push_back(make_pair(ted,w));
	if(u==1){
		return ;
	}
	return upd(part[u],w);
}

int get(int u){
//	//cout<<"inget: "<<u<<endl;
	int ted=high[u]-high[parh[u]]+1;
	int now=0;
	int ph=parh[u];
	if((int)val[ph].size()==0){
		if(ph==1){
			return 0;
		}
		return get(part[parh[u]]);
	}
	u=parh[u];
	vector<pair<int,int>>tof;
	for(int i=(int)val[u].size()-1;i>=0;i--){
		if(val[u][i].first+now<=ted){
			tof.push_back(val[u][i]);
			now+=val[u][i].first;
		}
		else{
			tof.push_back(make_pair(ted-now,val[u][i].second));
			break;
		}
	}
//	//cout<<"injy: "<<u<<endl;
	reverse(tof.begin(),tof.end());
	long long ret=0;
	for(auto x:tof){
		ret+=x.first*fn.pors(x.second-1);
		fn.upd(x.second,x.first);
	}
//	//cout<<"oonjy: "<<u<<endl;
	if(u==1){
		return ret;
	}
	ret+=get(part[parh[u]]);
	return ret;
}

int main(){
	ios::sync_with_stdio(0);
	cin.tie(0);
	//cout.tie(0);
	cin>>n;
	vector<int>allind;
	for(int i=1;i<=n;i++){
		cin>>all[i];
		allind.push_back(all[i]);
	}	
	sort(allind.begin(),allind.end());
	allind.resize(unique(allind.begin(),allind.end())-allind.begin());
	for(int i=1;i<=n;i++){
		all[i]=lower_bound(allind.begin(),allind.end(),all[i])-allind.begin();
	}
	for(int i=0;i<n-1;i++){
		cin>>alle[i].first>>alle[i].second;
		adj[alle[i].first].push_back(alle[i].second);
		adj[alle[i].second].push_back(alle[i].first);
	}
	pre();
	dfs();
	upd(1,all[1]);
	////cout<<"sa;am"<<endl;
	for(int i=0;i<n-1;i++){
		if(high[alle[i].first]>high[alle[i].second]){
			swap(alle[i].first,alle[i].second);
		}
		cout<<get(alle[i].first)<<endl;
//		//cout<<"wtf"<<endl;
		upd(alle[i].second,all[alle[i].second]);
//		//cout<<"radshod"<<endl;
		fn.clear();
	}
}
# Verdict Execution time Memory Grader output
1 Correct 3 ms 8804 KB Output is correct
2 Correct 3 ms 8792 KB Output is correct
3 Correct 3 ms 8796 KB Output is correct
4 Correct 3 ms 8796 KB Output is correct
5 Correct 4 ms 8796 KB Output is correct
6 Correct 3 ms 8796 KB Output is correct
7 Correct 4 ms 8796 KB Output is correct
8 Correct 3 ms 8796 KB Output is correct
9 Correct 3 ms 8908 KB Output is correct
10 Correct 3 ms 8908 KB Output is correct
11 Correct 3 ms 8792 KB Output is correct
12 Correct 4 ms 8796 KB Output is correct
13 Correct 3 ms 8796 KB Output is correct
14 Correct 3 ms 8796 KB Output is correct
15 Correct 3 ms 8796 KB Output is correct
16 Correct 3 ms 8796 KB Output is correct
17 Correct 4 ms 8796 KB Output is correct
18 Correct 4 ms 8796 KB Output is correct
19 Correct 3 ms 8796 KB Output is correct
20 Correct 3 ms 8796 KB Output is correct
21 Correct 3 ms 8912 KB Output is correct
22 Correct 3 ms 8796 KB Output is correct
23 Correct 3 ms 8804 KB Output is correct
24 Correct 4 ms 8796 KB Output is correct
25 Correct 4 ms 8796 KB Output is correct
26 Correct 3 ms 8796 KB Output is correct
27 Correct 3 ms 8796 KB Output is correct
28 Correct 4 ms 8796 KB Output is correct
29 Correct 4 ms 8796 KB Output is correct
30 Correct 4 ms 8796 KB Output is correct
31 Correct 4 ms 8908 KB Output is correct
32 Correct 4 ms 8792 KB Output is correct
33 Correct 4 ms 8792 KB Output is correct
34 Correct 3 ms 8796 KB Output is correct
35 Correct 3 ms 8908 KB Output is correct
36 Correct 3 ms 8796 KB Output is correct
37 Correct 5 ms 9052 KB Output is correct
38 Correct 3 ms 8796 KB Output is correct
39 Correct 4 ms 8796 KB Output is correct
40 Correct 3 ms 8904 KB Output is correct
41 Correct 4 ms 8796 KB Output is correct
42 Correct 3 ms 8796 KB Output is correct
43 Correct 3 ms 8796 KB Output is correct
44 Correct 4 ms 8796 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 3 ms 8804 KB Output is correct
2 Correct 3 ms 8792 KB Output is correct
3 Correct 3 ms 8796 KB Output is correct
4 Correct 3 ms 8796 KB Output is correct
5 Correct 4 ms 8796 KB Output is correct
6 Correct 3 ms 8796 KB Output is correct
7 Correct 4 ms 8796 KB Output is correct
8 Correct 3 ms 8796 KB Output is correct
9 Correct 3 ms 8908 KB Output is correct
10 Correct 3 ms 8908 KB Output is correct
11 Correct 3 ms 8792 KB Output is correct
12 Correct 4 ms 8796 KB Output is correct
13 Correct 3 ms 8796 KB Output is correct
14 Correct 3 ms 8796 KB Output is correct
15 Correct 3 ms 8796 KB Output is correct
16 Correct 3 ms 8796 KB Output is correct
17 Correct 4 ms 8796 KB Output is correct
18 Correct 4 ms 8796 KB Output is correct
19 Correct 3 ms 8796 KB Output is correct
20 Correct 3 ms 8796 KB Output is correct
21 Correct 3 ms 8912 KB Output is correct
22 Correct 3 ms 8796 KB Output is correct
23 Correct 3 ms 8804 KB Output is correct
24 Correct 4 ms 8796 KB Output is correct
25 Correct 4 ms 8796 KB Output is correct
26 Correct 3 ms 8796 KB Output is correct
27 Correct 3 ms 8796 KB Output is correct
28 Correct 4 ms 8796 KB Output is correct
29 Correct 4 ms 8796 KB Output is correct
30 Correct 4 ms 8796 KB Output is correct
31 Correct 4 ms 8908 KB Output is correct
32 Correct 4 ms 8792 KB Output is correct
33 Correct 4 ms 8792 KB Output is correct
34 Correct 3 ms 8796 KB Output is correct
35 Correct 3 ms 8908 KB Output is correct
36 Correct 3 ms 8796 KB Output is correct
37 Correct 5 ms 9052 KB Output is correct
38 Correct 3 ms 8796 KB Output is correct
39 Correct 4 ms 8796 KB Output is correct
40 Correct 3 ms 8904 KB Output is correct
41 Correct 4 ms 8796 KB Output is correct
42 Correct 3 ms 8796 KB Output is correct
43 Correct 3 ms 8796 KB Output is correct
44 Correct 4 ms 8796 KB Output is correct
45 Correct 5 ms 8796 KB Output is correct
46 Correct 11 ms 9184 KB Output is correct
47 Correct 11 ms 9052 KB Output is correct
48 Correct 13 ms 9052 KB Output is correct
49 Correct 9 ms 9308 KB Output is correct
50 Correct 9 ms 9308 KB Output is correct
51 Correct 11 ms 9392 KB Output is correct
52 Correct 9 ms 9564 KB Output is correct
53 Correct 9 ms 9564 KB Output is correct
54 Correct 9 ms 9616 KB Output is correct
55 Correct 11 ms 9560 KB Output is correct
56 Correct 9 ms 9308 KB Output is correct
57 Correct 12 ms 9052 KB Output is correct
58 Correct 13 ms 9052 KB Output is correct
59 Correct 13 ms 9052 KB Output is correct
60 Correct 13 ms 9228 KB Output is correct
61 Correct 13 ms 9308 KB Output is correct
62 Correct 10 ms 9308 KB Output is correct
63 Correct 10 ms 9308 KB Output is correct
64 Correct 11 ms 9128 KB Output is correct
65 Correct 11 ms 9052 KB Output is correct
66 Correct 11 ms 9048 KB Output is correct
67 Correct 11 ms 9052 KB Output is correct
68 Correct 9 ms 9304 KB Output is correct
69 Correct 10 ms 9564 KB Output is correct
70 Correct 9 ms 9580 KB Output is correct
71 Correct 10 ms 9308 KB Output is correct
72 Correct 13 ms 9052 KB Output is correct
73 Correct 13 ms 9052 KB Output is correct
74 Correct 10 ms 9308 KB Output is correct
75 Correct 10 ms 9052 KB Output is correct
76 Correct 9 ms 9052 KB Output is correct
77 Correct 9 ms 9048 KB Output is correct
78 Correct 9 ms 9052 KB Output is correct
79 Correct 10 ms 9240 KB Output is correct
80 Correct 9 ms 9184 KB Output is correct
81 Correct 12 ms 9252 KB Output is correct
82 Correct 10 ms 9052 KB Output is correct
83 Correct 10 ms 9048 KB Output is correct
84 Correct 9 ms 9052 KB Output is correct
85 Correct 10 ms 9052 KB Output is correct
86 Correct 10 ms 9172 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 3 ms 8804 KB Output is correct
2 Correct 3 ms 8792 KB Output is correct
3 Correct 3 ms 8796 KB Output is correct
4 Correct 3 ms 8796 KB Output is correct
5 Correct 4 ms 8796 KB Output is correct
6 Correct 3 ms 8796 KB Output is correct
7 Correct 4 ms 8796 KB Output is correct
8 Correct 3 ms 8796 KB Output is correct
9 Correct 3 ms 8908 KB Output is correct
10 Correct 3 ms 8908 KB Output is correct
11 Correct 3 ms 8792 KB Output is correct
12 Correct 4 ms 8796 KB Output is correct
13 Correct 3 ms 8796 KB Output is correct
14 Correct 3 ms 8796 KB Output is correct
15 Correct 3 ms 8796 KB Output is correct
16 Correct 3 ms 8796 KB Output is correct
17 Correct 4 ms 8796 KB Output is correct
18 Correct 4 ms 8796 KB Output is correct
19 Correct 3 ms 8796 KB Output is correct
20 Correct 3 ms 8796 KB Output is correct
21 Correct 3 ms 8912 KB Output is correct
22 Correct 3 ms 8796 KB Output is correct
23 Correct 3 ms 8804 KB Output is correct
24 Correct 4 ms 8796 KB Output is correct
25 Correct 4 ms 8796 KB Output is correct
26 Correct 3 ms 8796 KB Output is correct
27 Correct 3 ms 8796 KB Output is correct
28 Correct 4 ms 8796 KB Output is correct
29 Correct 4 ms 8796 KB Output is correct
30 Correct 4 ms 8796 KB Output is correct
31 Correct 4 ms 8908 KB Output is correct
32 Correct 4 ms 8792 KB Output is correct
33 Correct 4 ms 8792 KB Output is correct
34 Correct 3 ms 8796 KB Output is correct
35 Correct 3 ms 8908 KB Output is correct
36 Correct 3 ms 8796 KB Output is correct
37 Correct 5 ms 9052 KB Output is correct
38 Correct 3 ms 8796 KB Output is correct
39 Correct 4 ms 8796 KB Output is correct
40 Correct 3 ms 8904 KB Output is correct
41 Correct 4 ms 8796 KB Output is correct
42 Correct 3 ms 8796 KB Output is correct
43 Correct 3 ms 8796 KB Output is correct
44 Correct 4 ms 8796 KB Output is correct
45 Correct 5 ms 8796 KB Output is correct
46 Correct 11 ms 9184 KB Output is correct
47 Correct 11 ms 9052 KB Output is correct
48 Correct 13 ms 9052 KB Output is correct
49 Correct 9 ms 9308 KB Output is correct
50 Correct 9 ms 9308 KB Output is correct
51 Correct 11 ms 9392 KB Output is correct
52 Correct 9 ms 9564 KB Output is correct
53 Correct 9 ms 9564 KB Output is correct
54 Correct 9 ms 9616 KB Output is correct
55 Correct 11 ms 9560 KB Output is correct
56 Correct 9 ms 9308 KB Output is correct
57 Correct 12 ms 9052 KB Output is correct
58 Correct 13 ms 9052 KB Output is correct
59 Correct 13 ms 9052 KB Output is correct
60 Correct 13 ms 9228 KB Output is correct
61 Correct 13 ms 9308 KB Output is correct
62 Correct 10 ms 9308 KB Output is correct
63 Correct 10 ms 9308 KB Output is correct
64 Correct 11 ms 9128 KB Output is correct
65 Correct 11 ms 9052 KB Output is correct
66 Correct 11 ms 9048 KB Output is correct
67 Correct 11 ms 9052 KB Output is correct
68 Correct 9 ms 9304 KB Output is correct
69 Correct 10 ms 9564 KB Output is correct
70 Correct 9 ms 9580 KB Output is correct
71 Correct 10 ms 9308 KB Output is correct
72 Correct 13 ms 9052 KB Output is correct
73 Correct 13 ms 9052 KB Output is correct
74 Correct 10 ms 9308 KB Output is correct
75 Correct 10 ms 9052 KB Output is correct
76 Correct 9 ms 9052 KB Output is correct
77 Correct 9 ms 9048 KB Output is correct
78 Correct 9 ms 9052 KB Output is correct
79 Correct 10 ms 9240 KB Output is correct
80 Correct 9 ms 9184 KB Output is correct
81 Correct 12 ms 9252 KB Output is correct
82 Correct 10 ms 9052 KB Output is correct
83 Correct 10 ms 9048 KB Output is correct
84 Correct 9 ms 9052 KB Output is correct
85 Correct 10 ms 9052 KB Output is correct
86 Correct 10 ms 9172 KB Output is correct
87 Correct 25 ms 9564 KB Output is correct
88 Correct 77 ms 11020 KB Output is correct
89 Correct 278 ms 16084 KB Output is correct
90 Correct 277 ms 15824 KB Output is correct
91 Correct 284 ms 16232 KB Output is correct
92 Correct 180 ms 23252 KB Output is correct
93 Correct 186 ms 23368 KB Output is correct
94 Correct 180 ms 23252 KB Output is correct
95 Correct 208 ms 22912 KB Output is correct
96 Correct 194 ms 23192 KB Output is correct
97 Correct 197 ms 23432 KB Output is correct
98 Correct 213 ms 23252 KB Output is correct
99 Correct 192 ms 20336 KB Output is correct
100 Correct 328 ms 15312 KB Output is correct
101 Correct 335 ms 15308 KB Output is correct
102 Correct 346 ms 15452 KB Output is correct
103 Correct 360 ms 15492 KB Output is correct
104 Correct 204 ms 20440 KB Output is correct
105 Correct 195 ms 20300 KB Output is correct
106 Correct 196 ms 20356 KB Output is correct
107 Correct 264 ms 15324 KB Output is correct
108 Correct 260 ms 15316 KB Output is correct
109 Correct 276 ms 16068 KB Output is correct
110 Correct 169 ms 22996 KB Output is correct
111 Correct 201 ms 23036 KB Output is correct
112 Correct 196 ms 25040 KB Output is correct
113 Correct 181 ms 20060 KB Output is correct
114 Correct 315 ms 15312 KB Output is correct
115 Correct 335 ms 15060 KB Output is correct
116 Correct 188 ms 19924 KB Output is correct
117 Correct 194 ms 18008 KB Output is correct
118 Correct 197 ms 17256 KB Output is correct
119 Correct 191 ms 16844 KB Output is correct
120 Correct 191 ms 17576 KB Output is correct
121 Correct 184 ms 16848 KB Output is correct
122 Correct 191 ms 16456 KB Output is correct
123 Correct 207 ms 18052 KB Output is correct
124 Correct 206 ms 17176 KB Output is correct
125 Correct 211 ms 16732 KB Output is correct
126 Correct 210 ms 17708 KB Output is correct
127 Correct 195 ms 16852 KB Output is correct
128 Correct 206 ms 16308 KB Output is correct