Submission #545223

#TimeUsernameProblemLanguageResultExecution timeMemory
545223NhatMinh0208Zagrade (COI17_zagrade)C++14
100 / 100
1293 ms85048 KiB
#ifndef CPL_TEMPLATE #define CPL_TEMPLATE /* Normie's Template v2.5 Changes: Added warning against using pragmas on USACO. */ // Standard library in one include. #include <bits/stdc++.h> using namespace std; // ordered_set library. #include <ext/pb_ds/assoc_container.hpp> #include <ext/pb_ds/tree_policy.hpp> using namespace __gnu_pbds; #define ordered_set(el) tree<el,null_type,less<el>,rb_tree_tag,tree_order_statistics_node_update> // AtCoder library. (Comment out these two lines if you're not submitting in AtCoder.) (Or if you want to use it in other judges, run expander.py first.) //#include <atcoder/all> //using namespace atcoder; //Pragmas (Comment out these three lines if you're submitting in szkopul or USACO.) // #pragma comment(linker, "/stack:200000000") // #pragma GCC optimize("Ofast,unroll-loops,tree-vectorize") // #pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,avx2,tune=native") //File I/O. #define FILE_IN "cseq.inp" #define FILE_OUT "cseq.out" #define ofile freopen(FILE_IN,"r",stdin);freopen(FILE_OUT,"w",stdout) //Fast I/O. #define fio ios::sync_with_stdio(0);cin.tie(0) #define nfio cin.tie(0) #define endl "\n" //Order checking. #define ord(a,b,c) ((a>=b)and(b>=c)) //min/max redefines, so i dont have to resolve annoying compile errors. #define min(a,b) (((a)<(b))?(a):(b)) #define max(a,b) (((a)>(b))?(a):(b)) // Fast min/max assigns to use with AVX. // Requires g++ 9.2.0. template<typename T> __attribute__((always_inline)) void chkmin(T& a, const T& b) { a=(a<b)?a:b; } template<typename T> __attribute__((always_inline)) void chkmax(T& a, const T& b) { a=(a>b)?a:b; } //Constants. #define MOD (ll(998244353)) #define MAX 300001 #define mag 320 const long double PI=3.14159265358979; //Pairs and 3-pairs. #define p1 first #define p2 second.first #define p3 second.second #define fi first #define se second #define pii(element_type) pair<element_type,element_type> #define piii(element_type) pair<element_type,pii(element_type)> //Quick power of 2. #define pow2(x) (ll(1)<<x) //Short for-loops. #define ff(i,__,___) for(int i=__;i<=___;i++) #define rr(i,__,___) for(int i=__;i>=___;i--) //Typedefs. #define bi BigInt typedef long long ll; typedef long double ld; typedef short sh; // Binpow and stuff ll BOW(ll a, ll x, ll p) { if (!x) return 1; ll res=BOW(a,x/2,p); res*=res; res%=p; if (x%2) res*=a; return res%p; } ll INV(ll a, ll p) { return BOW(a,p-2,p); } //---------END-------// #endif set<int> gt[300001]; int n,m,i,j,k,t,t1,u,v,a,b,glob; ll res; string s; int l[300001]; int r[300001]; int sz[300001]; int arr[300001]; map<int,int> mpr,mpl; void prepare(int x, int p) { sz[x]=1; for (auto g : gt[x]) if (g-p) { prepare(g,x); sz[x]+=sz[g]; } } void init(int x, int p) { if (x==p) { if (s[x-1]=='(') arr[x]=1; else arr[x]=-1; l[x]=min(0,arr[x]); r[x]=max(0,arr[x]); } else { if (s[x-1]=='(') arr[x]=arr[p]+1; else arr[x]=arr[p]-1; l[x]=min(l[p],arr[x]); r[x]=max(r[p],arr[x]); } if (arr[x]==0 && arr[x]==l[x]) res++; if (arr[x]==0 && arr[x]==r[x]) res++; for (auto g : gt[x]) if (g-p) init(g,x); } void calc(int x, int p) { if (l[x]==arr[x]) res+=mpr[glob-arr[x]]; if (r[x]==arr[x]) res+=mpl[glob-arr[x]]; for (auto g : gt[x]) if (g-p) calc(g,x); } void add(int x, int p) { if (l[x]==arr[x]) mpl[arr[x]]++; if (r[x]==arr[x]) mpr[arr[x]]++; for (auto g : gt[x]) if (g-p) add(g,x); } void solve(int x) { prepare(x,x); int rt=x,p=x,a=0; while(true) { a=0; for (auto g : gt[rt]) if (g-p && sz[g]>sz[a]) a=g; if (sz[a]*2<=sz[x] && sz[rt]*2>=sz[x]) break; else { p=rt; rt=a; } } init(rt,rt); mpr.clear(); mpl.clear(); glob=arr[rt]; for (auto g : gt[rt]) { calc(g,rt); add(g,rt); } for (auto g : gt[rt]) { gt[g].erase(rt); solve(g); } } int main() { fio; cin>>n; cin>>s; for (i=1;i<n;i++) { cin>>u>>v; gt[u].insert(v); gt[v].insert(u); } solve(1); cout<<res; }
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