Submission #1155737

#TimeUsernameProblemLanguageResultExecution timeMemory
1155737mertbbmZagrade (COI17_zagrade)C++20
100 / 100
1078 ms53484 KiB
#include <bits/stdc++.h> using namespace std; #define int long long #define ld long double #define show(x,y) cout << y << " " << #x << endl; #define show2(x,y,i,j) cout << y << " " << #x << " " << j << " " << #i << endl; #define show3(x,y,i,j,p,q) cout << y << " " << #x << " " << j << " " << #i << " " << q << " " << #p << endl; #define show4(x,y) for(auto it:y) cout << it << " "; cout << #x << endl; typedef pair<int,int>pii; typedef pair<pii,int>pi2; mt19937_64 rng(chrono::system_clock::now().time_since_epoch().count()); vector<int>adj[300005]; int arr[300005]; int lvl[300005]; int sz[300005]; void dfs(int index, int par){ sz[index]=1; for(auto it:adj[index]){ if(it==par) continue; if(lvl[it]!=-1) continue; dfs(it,index); sz[index]+=sz[it]; } } int dfs2(int index, int par, int n){ for(auto it:adj[index]){ if(it==par) continue; if(lvl[it]!=-1) continue; if(sz[it]>n/2){ return dfs2(it,index,n); } } return index; } int counter=0; map<int,int>mp; void down(int index, int par, int cur, int mini){ cur+=arr[index]; mini=min(mini,cur); if(mini==cur)counter+=mp[-mini]; for(auto it:adj[index]){ if(it==par) continue; if(lvl[it]!=-1) continue; down(it,index,cur,mini); } } vector<int>undo; void up(int index, int par, int cur, int mini){ cur+=arr[index]; mini+=arr[index]; mini=min(mini,0LL); if(mini>=0){ mp[cur]++; undo.push_back(cur); } for(auto it:adj[index]){ if(it==par) continue; if(lvl[it]!=-1) continue; up(it,index,cur,mini); } } void build(int index, int par, int l){ dfs(index,par); int cent=dfs2(index,par,sz[index]); //counting if(arr[cent]==1){ mp[1]=1; undo.push_back(1); } for(auto it:adj[cent]){ if(lvl[it]!=-1) continue; down(it,cent,0,0); up(it,cent,arr[cent],min(0LL,arr[cent])); } counter+=mp[0]; for(auto it:undo) mp[it]--; undo.clear(); for(int y=adj[cent].size()-1;y>=0;y--){ int it=adj[cent][y]; if(lvl[it]!=-1) continue; down(it,cent,arr[cent],min(0LL,arr[cent])); up(it,cent,0,0); } for(auto it:undo) mp[it]--; undo.clear(); lvl[cent]=l; //show2(cent,cent,counter,counter); for(auto it:adj[cent]){ if(lvl[it]!=-1) continue; build(it,cent,l+1); } } void solve(){ int n; string s; cin >> n >> s; for(int x=0;x<n;x++){ if(s[x]=='(') arr[x+1]=1; else arr[x+1]=-1; } int temp,temp2; for(int x=0;x<n-1;x++){ cin >> temp >> temp2; adj[temp].push_back(temp2); adj[temp2].push_back(temp); } memset(lvl,-1,sizeof(lvl)); build(1,-1,0); cout << counter; } int32_t main(){ ios::sync_with_stdio(0); cin.tie(0); //freopen("in.txt","r",stdin); //freopen("in.txt","w",stdout); int t=1; //cin >> t; while(t--){ solve(); } }
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