Link:Http://acm.zju.edu.cn/onlinejudge/showProblem.do? Problemcode = 3602.
Question:A binary tree with N nodes and a binary tree with M nodes are provided, and information about the left and right Subtrees of each node is provided. The two trees have several identical Subtrees.
Ideas:Tree homogeneity, no idea during the competition, other people's problem-solving reports read after the competition. In fact, it is a hash value for the left and right Subtrees of each node. It does not need to be as troublesome as a string hash. Just mark each subtree with a number, map the left and right subtree information of each node to a tag value. Use DFS to assign a hash value to each node of the two trees. After the assignment, determine the hash values of each node in the first tree and each node in the second tree. If the values are equal, the answer is + 1, but the number of nodes is too large, in this way, the traversal time complexity is 100000*100000. It uses a new map to record all the hash values of the first number, in the second tree, we can determine that if the second tree node has a ing in this map, the answer will add the corresponding value of this ing, so that the complexity is 2*100000, not TLE.
#include<cstring>#include<string>#include<fstream>#include<iostream>#include<iomanip>#include<cstdio>#include<cctype>#include<algorithm>#include<queue>#include<map>#include<set>#include<vector>#include<stack>#include<ctime>#include<cstdlib>#include<functional>#include<cmath>using namespace std;#define PI acos(-1.0)#define MAXN 10100#define eps 1e-7#define INF 0x7FFFFFFF#define LLINF 0x7FFFFFFFFFFFFFFF#define seed 131#define MOD 1000000007#define ll long long#define ull unsigned ll#define lson l,m,rt<<1#define rson m+1,r,rt<<1|1struct node{ int u,v;}a[101000],b[101000];int n,m,cnt;int ans1[101000],ans2[101000];map<pair<int,int>,int>mp;void dfs(int u,node c[],int ans[]){ if(c[u].u==-1) ans[c[u].u] = -1; else dfs(c[u].u,c,ans); if(c[u].v==-1) ans[c[u].v] = -1; else dfs(c[u].v,c,ans); pair<int,int> p = make_pair(ans[c[u].u],ans[c[u].v]); if(mp.find(p)!=mp.end()) ans[u] = mp[p]; else{ mp[p] = cnt++; ans[u] = mp[p]; }}int main(){ int t,i,j,u,v; scanf("%d",&t); while(t--){ scanf("%d%d",&n,&m); cnt = 0; mp.clear(); for(i=1;i<=n;i++){ scanf("%d%d",&a[i].u,&a[i].v); } for(i=1;i<=m;i++){ scanf("%d%d",&b[i].u,&b[i].v); } dfs(1,a,ans1); dfs(1,b,ans2); map<int,int>fuck; ll ans = 0; for(i=1;i<=n;i++){ fuck[ans1[i]]++; } for(i=1;i<=m;i++){ ans += fuck[ans2[i]]; } printf("%lld\n",ans); } return 0;}
ZOJ--3602 -- count the homogeneity of the trees [DFS + hash] tree