#include<bits/stdc++.h>
using namespace std;

using ll = long long;
const int mod = 1e9+7;

vector<vector<int>> edge;
vector<vector<vector<vector<int>>>> dp;

void dfs(int now){
	dp[now].resize(2,vector<vector<int>>(2,vector<int>(2)));
	dp[now][0][0][0] = dp[now][1][1][1] = 1;
	for(auto next: edge[now]){
		if(!dp[next].empty()) continue;
		dfs(next);
		int N = dp[now].size()-1, M = dp[next].size()-1;
		vector<vector<vector<int>>> nex(N+M+1,vector<vector<int>>(2,vector<int>(2)));
		for(int i=0; i<=N; i++){
			for(int j=0; j<=M; j++){
				for(int k=0; k<2; k++){
					for(int l=0; l<2; l++){
						for(int m=0; m<2; m++){
							for(int n=0; n<2; n++){
								if(dp[now][i][k][l]==0 || dp[next][j][m][n]==0) continue;
								int sum = i+j+(!l&m)+(k&!n);
								nex[sum][k][l|m] += ll(dp[now][i][k][l])*dp[next][j][m][n]%mod;
								nex[sum][k][l|m] %= mod;
							}
						}
					}
				}
			}
		}
		dp[now] = nex;
	}
}

int main(){
	int N; cin >> N;
	edge.resize(N);
	dp.resize(N);
	for(int i=1; i<N; i++){
		int U,V; cin >> U >> V;
		edge[--U].push_back(--V);
		edge[V].push_back(U);
	}
	dfs(0);
	for(int i=0; i<=N; i++){
		int ans = 0;
		for(int j=0; j<2; j++){
			for(int k=0; k<2; k++){
				ans += dp[0][i][j][k];
				ans %= mod;
			}
		}
		cout << ans << endl;
	}
}
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Read inputs from stdin

OneCompiler's C++ online compiler supports stdin and users can give inputs to programs using the STDIN textbox under the I/O tab. Following is a sample program which takes name as input and print your name with hello.

#include <iostream>
#include <string>
using namespace std;

int main() 
{
    string name;
    cout << "Enter name:";
    getline (cin, name);
    cout << "Hello " << name;
    return 0;
}

About C++

C++ is a widely used middle-level programming language.

  • Supports different platforms like Windows, various Linux flavours, MacOS etc
  • C++ supports OOPS concepts like Inheritance, Polymorphism, Encapsulation and Abstraction.
  • Case-sensitive
  • C++ is a compiler based language
  • C++ supports structured programming language
  • C++ provides alot of inbuilt functions and also supports dynamic memory allocation.
  • Like C, C++ also allows you to play with memory using Pointers.

Syntax help

Loops

1. If-Else:

When ever you want to perform a set of operations based on a condition If-Else is used.

if(conditional-expression) {
   //code
}
else {
   //code
}

You can also use if-else for nested Ifs and If-Else-If ladder when multiple conditions are to be performed on a single variable.

2. Switch:

Switch is an alternative to If-Else-If ladder.

switch(conditional-expression){    
case value1:    
 // code    
 break;  // optional  
case value2:    
 // code    
 break;  // optional  
......    
    
default:     
 code to be executed when all the above cases are not matched;    
}

3. For:

For loop is used to iterate a set of statements based on a condition.

for(Initialization; Condition; Increment/decrement){  
  //code  
}

4. While:

While is also used to iterate a set of statements based on a condition. Usually while is preferred when number of iterations are not known in advance.

while (condition) {  
// code 
}

5. Do-While:

Do-while is also used to iterate a set of statements based on a condition. It is mostly used when you need to execute the statements atleast once.

do {  
 // code 
} while (condition);

Functions

Function is a sub-routine which contains set of statements. Usually functions are written when multiple calls are required to same set of statements which increases re-usuability and modularity. Function gets run only when it is called.

How to declare a Function:

return_type function_name(parameters);

How to call a Function:

function_name (parameters)

How to define a Function:

return_type function_name(parameters) {  
 // code
}