#include "bits/stdc++.h"
using namespace std;
//#define int long long
#define REP(i, n) for (int i = 0; i < (int)n; ++i)
#define RREP(i, n) for (int i = (int)n - 1; i >= 0; --i)
#define FOR(i, s, n) for (int i = s; i < (int)n; ++i)
#define RFOR(i, s, n) for (int i = (int)n - 1; i >= s; --i)
#define ALL(a) a.begin(), a.end()
#define IN(a, x, b) (a <= x && x < b)
template<class T>istream&operator >>(istream&is,vector<T>&vec){for(T&x:vec)is>>x;return is;}
template<class T>inline void out(T t){cout << t << "\n";}
template<class T,class... Ts>inline void out(T t,Ts... ts){cout << t << " ";out(ts...);}
template<class T>inline bool CHMIN(T&a,T b){if(a > b){a = b;return true;}return false;}
template<class T>inline bool CHMAX(T&a,T b){if(a < b){a = b;return true;}return false;}
//constexpr int INF = 1e18;


template <class T> class ReRooting {
public:
	int NodeCount;

private:
	std::vector<std::vector<int>> Adjacents;
	std::vector<std::vector<int>> IndexForAdjacent;

	std::vector<T> Res;
	std::vector<std::vector<T>> DP;

	T Identity;
	std::function<T(T, T)> Operate;
	std::function<T(T, int)> OperateNode;

public:
	ReRooting(int nodeCount, std::vector<std::vector<int>> edges, T identity,
				std::function<T(T, T)> operate,
				std::function<T(T, int)> operateNode) {
		NodeCount = nodeCount;

		Identity = identity;
		Operate = operate;
		OperateNode = operateNode;

		std::vector<std::vector<int>> adjacents(nodeCount);
		std::vector<std::vector<int>> indexForAdjacents(nodeCount);

		for (int i = 0; i < edges.size(); i++) {
			auto &edge = edges[i];
			indexForAdjacents[edge[0]].push_back(adjacents[edge[1]].size());
			indexForAdjacents[edge[1]].push_back(adjacents[edge[0]].size());
			adjacents[edge[0]].push_back(edge[1]);
			adjacents[edge[1]].push_back(edge[0]);
		}

		Adjacents = std::vector<std::vector<int>>(nodeCount);
		IndexForAdjacent = std::vector<std::vector<int>>(nodeCount);
		for (int i = 0; i < nodeCount; i++) {
			Adjacents[i] = adjacents[i];
			IndexForAdjacent[i] = indexForAdjacents[i];
		}

		DP = std::vector<std::vector<T>>(Adjacents.size());
		Res = std::vector<T>(Adjacents.size());

		for (int i = 0; i < Adjacents.size(); i++)
			DP[i] = std::vector<T>(Adjacents[i].size());
		if (NodeCount > 1)
			Initialize();
		else if (NodeCount == 1)
			Res[0] = OperateNode(Identity, 0);
	}

	T Query(int node) { return Res[node]; }

private:
	void Initialize() {
		std::vector<int> parents(NodeCount);
		std::vector<int> order(NodeCount);

#pragma region InitOrderedTree
		int index = 0;
		std::stack<int> stack;
		stack.push(0);
		parents[0] = -1;
		while (stack.size() > 0) {
			auto node = stack.top();
			stack.pop();
			order[index++] = node;
			for (int i = 0; i < Adjacents[node].size(); i++) {
				auto adjacent = Adjacents[node][i];
				if (adjacent == parents[node])
					continue;
				stack.push(adjacent);
				parents[adjacent] = node;
			}
		}
#pragma endregion

#pragma region fromLeaf
		for (int i = order.size() - 1; i >= 1; i--) {
			auto node = order[i];
			auto parent = parents[node];

			T accum = Identity;
			int parentIndex = -1;
			for (int j = 0; j < Adjacents[node].size(); j++) {
				if (Adjacents[node][j] == parent) {
					parentIndex = j;
					continue;
				}
				accum = Operate(accum, DP[node][j]);
			}
			DP[parent][IndexForAdjacent[node][parentIndex]] =
				OperateNode(accum, node);
		}
#pragma endregion

#pragma region toLeaf
		for (int i = 0; i < order.size(); i++) {
			auto node = order[i];
			T accum = Identity;
			std::vector<T> accumsFromTail(Adjacents[node].size());
			accumsFromTail[accumsFromTail.size() - 1] = Identity;
			for (int j = accumsFromTail.size() - 1; j >= 1; j--)
					accumsFromTail[j - 1] = Operate(DP[node][j], accumsFromTail[j]);
			for (int j = 0; j < accumsFromTail.size(); j++) {
				DP[Adjacents[node][j]][IndexForAdjacent[node][j]] =
					OperateNode(Operate(accum, accumsFromTail[j]), node);
				accum = Operate(accum, DP[node][j]);
			}
			Res[node] = OperateNode(accum, node);
		}
#pragma endregion
	}
};


signed main(){
	int N, M;
	cin >> N >> M;
	vector<vector<int>>edges;
	REP(i, N - 1) {
		int a, b;
		cin >> a >> b;
		--a; --b;
		edges.push_back({a, b});
	}
	ReRooting<long long> rr(N, edges, 1, [&](long long x, long long y) {return x * y % M;}, [&](long long x, int y) {return (x + 1) % M;});
	REP(i, N) out((rr.Query(i) - 1 + M) % M);
}

Measured memory_bytes: 46540