atcoder_dp.cpp

#include<bits/stdc++.h>
using namespace std;
#define ll long long
ll dp[100000][2];
ll mod = 1e9+7;

ll dfs(vector<vector<int>>&graph, int sou, int par, int colour ){
	if(dp[sou][colour]!=-1){
		return dp[sou][colour];
	}
	ll res = 1;
	for(auto it:graph[sou]){
		if(it!=par){
			if(colour==1){
				res *= dfs(graph,it,sou,0) + dfs(graph,it,sou,1);
				res=res%mod;
			}
			else{
				res *= dfs(graph,it,sou,1);
				res=res%mod;
			}
		}
	}
	return dp[sou][colour]=res;
}

int main(){
	int x;
	cin>>x;
	memset(dp,-1,sizeof(dp));
	vector<vector<int>>graph(x);
	for(int i=0;i<x-1;i++){
		int sou,des;
		cin>>sou>>des;
		sou--;
		des--;
		graph[sou].push_back(des);
		graph[des].push_back(sou);
	}
	dfs(graph,0,-1,0);
	dfs(graph,0,-1,1);
	ll ans = dp[0][0] + dp[0][1];
	ans=ans%mod;
	cout<<ans;
	return 0;
}