[BZOJ3011][Usaco2012 Dec]Running Away From the Barn(可并堆)
2017-01-06 20:56
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题目描述
传送门题解
首先这道题是<=而不是<…在树上自底向上维护左偏树(大根堆),每一个点的权值是点到根的距离
每次将所有的儿子并到父亲上,就代表了一棵子树
如果最大的点的权值已经超过了l的话就弹顶
再动态维护一下size
代码
#include<algorithm> #include<iostream> #include<cstring> #include<cstdio> #include<cstdio> using namespace std; #define LL long long #define N 200005 int n; LL l; int tot,point ,nxt ,v ;LL c ; int ls ,rs ,dis ,f ,size ,ans ;LL key ; void add(int x,int y,LL z) { ++tot; nxt[tot]=point[x]; point[x]=tot; v[tot]=y; c[tot]=z; } int find(int x) { if (x==f[x]) return x; f[x]=find(f[x]); return f[x]; } int merge(int x,int y) { if (!x) return y; if (!y) return x; if (key[x]<key[y]) swap(x,y); rs[x]=merge(rs[x],y); if (dis[ls[x]]<dis[rs[x]]) swap(ls[x],rs[x]); if (!rs[x]) dis[x]=0; else dis[x]=dis[rs[x]]+1; return x; } int pop(int x) { f[x]=merge(ls[x],rs[x]); f[f[x]]=f[x]; ls[x]=rs[x]=dis[x]=0; return f[x]; } void dfs(int x) { int fx,fy,top,tmp; for (int i=point[x];i;i=nxt[i]) { int u=v[i]; key[v[i]]=key[x]+c[i]; dfs(v[i]); fx=find(x),fy=find(v[i]); top=merge(fx,fy); f[fx]=f[fy]=top; size[top]=size[fx]+size[fy]; while (key[top]-key[x]>=l) { tmp=pop(top); size[tmp]=size[top]-1; top=tmp; } } ans[x]=size[find(x)]; } int main() { scanf("%d%I64d",&n,&l); for (int i=2;i<=n;++i) { int fa;LL z; scanf("%d%I64d",&fa,&z); add(fa,i,z); } for (int i=1;i<=n;++i) f[i]=i,size[i]=1; dfs(1); for (int i=1;i<=n;++i) printf("%d\n",ans[i]); }
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