//treeDP-allside
//https://atcoder.jp/contests/dp/tasks/dp_v
//https://ei1333.hateblo.jp/entry/2017/04/10/224413
//https://lumakernel.github.io/ecasdqina/graph/DP-all-subtree
#include<stdio.h>
#include<string.h>
#include<stdlib.h>
#include<stdbool.h>
#include<time.h>
#include<assert.h>
#define inf 1072114514
#define llinf 4154118101919364364
#define mod 1000000007
#define pi 3.1415926535897932384

int max(int a,int b){if(a>b){return a;}return b;}
int min(int a,int b){if(a<b){return a;}return b;}
int zt(int a,int b){return max(a,b)-min(a,b);}
int round(int a,int b){if((a%b)*2 >= b){return (a/b)+1;}return a/b;}
int ceil(int a,int b){if(a%b==0){return a/b;}return (a/b)+1;}
int gcd(int a,int b){int c;while(b!=0){c=a%b;a=b;b=c;}return a;}
int lcm(int a,int b){int c=gcd(a,b);a/=c;return a*b;}
int nCr(int a,int b){int i,r=1;for(i=1;i<=b;i++){r*=(a+1-i);r/=i;}return r;}
int nHr(int a,int b){return nCr(a+b-1,b);}
int fact(int a){int i,r=1;for(i=1;i<=a;i++){r*=i;}return r;}
int pow(int a,int b){int i,r=1;for(i=1;i<=b;i++){r*=a;}return r;}
int dsum(int x){int r=0;while(x){r+=(x%10);x/=10;}return r;}
int dsumb(int x,int b){int r=0;while(x){r+=(x%b);x/=b;}return r;}
int sankaku(int x){return ((1+x)*x)/2;}
void swap(int *a,int *b){int c;c=(*a);(*a)=(*b);(*b)=c;}
long long llmax(long long a,long long b){if(a>b){return a;}return b;}
long long llmin(long long a,long long b){if(a<b){return a;}return b;}
long long llzt(long long a,long long b){return llmax(a,b)-llmin(a,b);}
long long llround(long long a,long long b){if((a%b)*2 >= b){return (a/b)+1;}return a/b;}
long long llceil(long long a,long long b){if(a%b==0){return a/b;}return (a/b)+1;}
long long llgcd(long long a,long long b){long long c;while(b!=0){c=a%b;a=b;b=c;}return a;}
long long lllcm(long long a,long long b){long long c=llgcd(a,b);a/=c;return a*b;}
long long llnCr(long long a,long long b){long long i,r=1;for(i=1;i<=b;i++){r*=(a+1-i);r/=i;}return r;}
long long llnHr(long long a,long long b){return llnCr(a+b-1,b);}
long long llfact(long long a){long long i,r=1;for(i=1;i<=a;i++){r*=i;}return r;}
long long llpow(long long a,long long b){long long i,r=1;for(i=1;i<=b;i++){r*=a;}return r;}
long long lldsum(long long x){long long r=0;while(x){r+=(x%10);x/=10;}return r;}
long long lldsumb(long long x,long long b){long long r=0;while(x){r+=(x%b);x/=b;}return r;}
long long llsankaku(long long x){return ((1+x)*x)/2;}
void llswap(long long *a,long long *b){long long c;c=(*a);(*a)=(*b);(*b)=c;}
double dbmax(double a,double b){if(a>b){return a;}return b;}
double dbmin(double a,double b){if(a<b){return a;}return b;}
double dbzt(double a,double b){return dbmax(a,b)-dbmin(a,b);}
void dbswap(double *a,double *b){double c;c=(*a);(*a)=(*b);(*b)=c;}
void chswap(char *a,char *b){char c;c=(*a);(*a)=(*b);(*b)=c;}
int sortfncsj(const void *a,const void *b){if(*(int *)a>*(int *)b){return 1;}if(*(int *)a==*(int *)b){return 0;}return -1;}
int sortfnckj(const void *a,const void *b){if(*(int *)a<*(int *)b){return 1;}if(*(int *)a==*(int *)b){return 0;}return -1;}
int llsortfncsj(const void *a,const void *b){if(*(long long *)a>*(long long *)b){return 1;}if(*(long long *)a==*(long long *)b){return 0;}return -1;}
int llsortfnckj(const void *a,const void *b){if(*(long long *)a<*(long long *)b){return 1;}if(*(long long *)a==*(long long *)b){return 0;}return -1;}
int dbsortfncsj(const void *a,const void *b){if(*(double *)a>*(double *)b){return 1;}if(*(double *)a==*(double *)b){return 0;}return -1;}
int dbsortfnckj(const void *a,const void *b){if(*(double *)a<*(double *)b){return 1;}if(*(double *)a==*(double *)b){return 0;}return -1;}
int strsortfncsj(const void *a,const void *b){return strcmp((char *)a,(char *)b);}
int strsortfnckj(const void *a,const void *b){return strcmp((char *)b,(char *)a);}
int chsortfncsj(const void *a,const void *b){if(*(char *)a>*(char *)b){return 1;}if(*(char *)a==*(char *)b){return 0;}return -1;}
int chsortfnckj(const void *a,const void *b){if(*(char *)a<*(char *)b){return 1;}if(*(char *)a==*(char *)b){return 0;}return -1;}

void shuffledget(int x[],int n){
    int i,b[524288],p,c;
    for(i=0;i<n;i++){
        b[i]=i;
    }
    for(i=n;i>=1;i--){
        p=rand()%i;
        c=b[i-1];b[i-1]=b[p];b[p]=c;
    }
    for(i=0;i<n;i++){
        scanf("%d",&x[b[i]]);
    }
}

int dx4[4]={1,-1,0,0};
int dy4[4]={0,0,1,-1};
int dx8[8]={-1,-1,-1,0,0,1,1,1};
int dy8[8]={-1,0,1,-1,1,-1,0,1};

int search(int x,int a[],int n){
    int st=0,fi=n-1,te;
    while(st<=fi){
        te=(st+fi)/2;
        if(a[te]<x){st=te+1;}else{fi=te-1;}
    }
    return st;
}

void prarr(int arr[],int n){
  int i;
  for(i=0;i<n;i++){
    if(i){printf(" ");}
    printf("%d",arr[i]);
  }
  printf("\n");
  return;
}

void getperm(int a[],int n){
  int i,p;
  for(i=0;i<n;i++){
    a[i]=i;
  }
  for(i=n-1;i>=1;i--){
    p=rand()%(i+1);
    swap(&a[p],&a[i]);
  }
}

typedef struct{
long long val;
long long node;
}sd;

int sdsortfnc(const void *a,const void *b){
if(((sd*)a)->val < ((sd*)b)->val){return -1;}
if(((sd*)a)->val > ((sd*)b)->val){return 1;}
return 0;
}

void coordinate_comp(int a[],int n){
  int i,c=0;
  sd dat[524288];
  for(i=0;i<n;i++){
    dat[i].val=a[i];
    dat[i].node=i;
  }
  qsort(dat,n,sizeof(dat[0]),sdsortfnc);
  a[dat[0].node]=c;
  for(i=1;i<n;i++){
    if(dat[i-1].val!=dat[i].val){c++;}
    a[dat[i].node]=c;
  }
}

typedef struct{
    long long st;
    long long fi;
    long long kr;
    long long id;
    long long rev;
}rs;

typedef struct{
    long long st;
    long long kz;
}mkj;

int sortfnc(const void *a,const void *b){
if(((rs*)a)->st > ((rs*)b)->st){return 1;}
if(((rs*)a)->st < ((rs*)b)->st){return -1;}
if(((rs*)a)->fi > ((rs*)b)->fi){return 1;}
if(((rs*)a)->fi < ((rs*)b)->fi){return -1;}
return 0;
}

int revsortfnc(const void *a,const void *b){
long long p,q,r,s,t;
p=((rs*)a)->st;
q=((rs*)a)->fi;
r=((rs*)b)->st;
s=((rs*)b)->fi;
if(p>q){t=p;p=q;q=t;}
if(r>s){t=r;r=s;s=t;}
if(p<r){return -1;}
if(p>r){return 1;}
if(q<s){return -1;}
if(q>s){return 1;}
return 0;
}

void makemkj(rs g[],mkj x[],long long n){
    long long i,ms=0,nst=g[0].st;
    for(i=1;i<n;i++){
        if(g[i].st!=g[i-1].st){
            x[nst].kz=i-ms;
            x[nst].st=ms;
            nst=g[i].st;ms=i;
        }
    }
    x[nst].kz=n-ms;
    x[nst].st=ms;
}

long long inmod;

long long dist[524288],par[524288];
void dfs(long long t,long long l,long long bp,rs g[],mkj x[]){
  long long i;
  if(dist[t]<=l){return;}
  dist[t]=l;
  par[t]=bp;
  for(i=x[t].st;i<x[t].st+x[t].kz;i++){
    dfs(g[i].fi,l+1,t,g,x);
  }
}

long long calcfl[524288]={0};
long long dp[524288];
long long sta[524288];
long long bksta[524288];

//repdp(v,-1,g,x) := pattern(v is a painted node)
long long repdp(long long v,long long bk,rs g[],mkj x[]){
  //printf("(%lld %lld)\n",v,bk);
  long long i,p,nr=1,ne,nrev,mem;

  //DP getsubtree
  for(i=x[v].st;i<x[v].st+x[v].kz;i++){
    if(g[i].fi==bk){mem=g[i].id;continue;}
    p=i-x[v].st;
    ne=g[i].rev;
    if(calcfl[ne]==0){
      repdp(g[i].fi,v,g,x);
    }
    if(bk==-1){
      sta[p]=(dp[ne]+1)%inmod;
      bksta[p]=(dp[ne]+1)%inmod;
    }
    nr*=(dp[ne]+1);nr%=inmod;
  }

  //DP spread
  if(bk!=-1){
    dp[mem]=nr;
    calcfl[mem]=1;
    //printf("%lld -> %lld : %lld\n",g[mem].st,g[mem].fi,dp[mem]);
  }
  else{
    for(i=1;i<x[v].kz;i++){
      sta[i]*=sta[i-1];
      sta[i]%=inmod;
    }
    for(i=x[v].kz-2;i>=0;i--){
      bksta[i]*=bksta[i+1];
      bksta[i]%=inmod;
    }
    for(i=x[v].st;i<x[v].st+x[v].kz;i++){
      p=i-x[v].st;
      ne=g[i].id;
      dp[ne]=1;
      if(p!=0){dp[ne]*=sta[p-1];dp[ne]%=inmod;}
      if(p!=x[v].kz-1){dp[ne]*=bksta[p+1];dp[ne]%=inmod;}
      calcfl[ne]=1;
      //printf("%lld -> %lld : %lld\n",g[ne].st,g[ne].fi,dp[ne]);
    }
  }

  return nr;
}

int main(void){
  long long i,j,n,m,k,a,b,c,h,w,r=0,l,t,cnt=0;
  long long res[524288];
  sd dat[524288];
  rs g[524288];
  mkj x[524288];
  scanf("%lld%lld",&n,&inmod);
  for(i=0;i<(n-1);i++){
    scanf("%lld%lld",&g[cnt].st,&g[cnt].fi);
    g[cnt].kr=1;
    cnt++;
    g[cnt]=g[cnt-1];
    llswap(&g[cnt].st,&g[cnt].fi);
    cnt++;
  }
  qsort(g,cnt,sizeof(g[0]),sortfnc);
  for(i=0;i<cnt;i++){
    g[i].id=i;
  }
  qsort(g,cnt,sizeof(g[0]),revsortfnc);
  for(i=0;i<cnt;i+=2){
    g[i].rev=g[i+1].id;
    g[i+1].rev=g[i].id;
  }
  qsort(g,cnt,sizeof(g[0]),sortfnc);
  makemkj(g,x,cnt);

  for(i=0;i<=n;i++){dist[i]=llinf;}
  dfs(1,0,-1,g,x);
  for(i=0;i<n;i++){
    dat[i].val=dist[i+1];
    dat[i].node=i+1;
    //printf("<%lld %lld>\n",dat[i].val,dat[i].node);
  }
  qsort(dat,n,sizeof(dat[0]),sdsortfnc);

  for(i=0;i<n;i++){
    res[dat[i].node]=repdp(dat[i].node,-1,g,x);
  }

  for(i=1;i<=n;i++){
    printf("%lld\n",res[i]);
  }
  return 0;
}


Measured memory_bytes: 43128