Submission #864013

#TimeUsernameProblemLanguageResultExecution timeMemory
864013MilosMilutinovicPapričice (COCI20_papricice)C++14
110 / 110
658 ms33448 KiB
#include<bits/stdc++.h> #define pb push_back #define fi first #define se second #define mp make_pair using namespace std; typedef long long ll; typedef unsigned long long ull; typedef pair<int,int> pii; typedef pair<ll,ll> pll; typedef long double ld; template <typename T> bool chkmin(T &x,T y){return x>y?x=y,1:0;} template <typename T> bool chkmax(T &x,T y){return x<y?x=y,1:0;} int readint(){ int x=0,f=1; char ch=getchar(); while(ch<'0'||ch>'9'){if(ch=='-')f=-1;ch=getchar();} while(ch>='0'&&ch<='9'){x=x*10+ch-'0';ch=getchar();} return x*f; } int n,v[400005],nxt[400005],h[200005],tot,sz[200005],mn[200005],dfn[200005],dfo[200005],T,lg[200005],st[200005][20]; multiset<int> s2; bool ok; void addedge(int x,int y){ v[++tot]=y; nxt[tot]=h[x]; h[x]=tot; v[++tot]=x; nxt[tot]=h[y]; h[y]=tot; } void dfs1(int x,int fa){ dfn[x]=++T; sz[x]=1; for(int p=h[x];p;p=nxt[p]){ if(v[p]!=fa){ dfs1(v[p],x); sz[x]+=sz[v[p]]; } } dfo[x]=T; mn[sz[x]]=min(mn[sz[x]],dfo[x]); } int query(int l,int r){ int k=lg[r-l+1]; return min(st[l][k],st[r-(1<<k)+1][k]); } void dfs2(int x,int fa,int d){ /* //sz[x]-d<=n-t<=sz[x]+d //n-sz[x]-d<=t<=n-sz[x]+d //sz[x]-d<=t-sz[x]<=sz[x]+d //2*sz[x]-d<=t<=2*sz[x]+d //n-t-d<=t-sz[x]<=n-t+d //n-d+sz[x]<=2*t<=n+d+sz[x] //sz[x]-d<=t<=sz[x]+d //2*sz[x]-d<=n-t-sz[x]<=sz[x]+d //n-d-2*sz[x]<=t<=n+d-2*sz[x] //n-sz[x]-d<=2*t<=n-sz[x]+d */ int L=max({n-sz[x]-d,2*sz[x]-d,(n-d+sz[x]+1)/2}); int R=min({n-sz[x]+d,2*sz[x]+d,(n+d+sz[x])/2}); auto it=s2.lower_bound(L); if(it!=s2.end()&&*it<=R) ok=true; s2.insert(sz[x]); L=max({sz[x]-d,n-d-2*sz[x],(n-sz[x]-d+1)/2}); R=min({sz[x]+d,n+d-2*sz[x],(n-sz[x]+d)/2}); L=max(1,L); R=min(R,n); if(L<=R&&query(L,R)<dfn[x]) ok=true; for(int p=h[x];p;p=nxt[p]){ if(v[p]!=fa){ dfs2(v[p],x,d); } } s2.erase(s2.find(sz[x])); } bool check(int d){ s2.clear(); ok=false; dfs2(1,1,d); return ok; } int main(){ n=readint(); for(int i=1;i<n;i++) addedge(readint(),readint()); for(int i=1;i<=n;i++) mn[i]=1e9; dfs1(1,1); for(int i=2;i<=n;i++) lg[i]=lg[i/2]+1; for(int i=1;i<=n;i++) st[i][0]=mn[i]; for(int j=1;j<20;j++){ for(int i=1;i+(1<<j)<=n+1;i++) st[i][j]=min(st[i][j-1],st[i+(1<<(j-1))][j-1]); } int l=0,r=n,ans=n; while(l<=r){ int mid=(l+r)/2; if(check(mid)){ ans=mid; r=mid-1; }else{ l=mid+1; } } printf("%d\n",ans); return 0; }
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