#include <bits/stdc++.h>
using namespace std;
#pragma GCC optimize(3)
#define DB double
#define LL long long
#define ULL unsigned long long
#define pii pair<int,int>
#define pil pair<int,LL>
#define mii map<int,int>
#define miig map<int,int,greater<int> >
#define mil map<int,LL>
#define in128 __int128
#define cint const int
#define cLL const LL
#define cDB const DB
#define cchar const char
#define invoid inline void
#define inLL inline LL
#define inlint inline int
#define inbool inline bool
#define inl128 inline __int128
#define inDB inline double
#define For(z,e1,e2) for(int z=(e1);z<=(e2);z++)
#define Rof(z,e1,e2) for(int z=(e2);z>=(e1);z--)
#define For_(z,e1,e2) for(int z=(e1);z<(e2);z++)
#define Rof_(z,e1,e2) for(int z=(e2);z>(e1);z--)
#define inint(e) scanf("%d",&e)
#define inll(e) scanf("%lld",&e)
#define inpr(e1,e2) scanf("%d%d",&e1,&e2)
#define in3(e1,e2,e3) scanf("%d%d%d",&e1,&e2,&e3)
#define outint(e) printf("%d\n",e)
#define outint_(e) printf("%d%c",e," \n"[i==n])
#define outll(e) printf("%lld\n",e)
#define outll_(e) printf("%lld%c",e," \n"[i==n])
#define exc(e) if(e) continue
#define stop(e) if(e) break
#define ret(e) if(e) return
#define ll(e) ((LL)(e))
#define pb push_back
#define ft first
#define sc second
#define clean(e) while(!e.empty()) e.pop()
#define all(ev) ev.begin(),ev.end()
#define x0 x00
#define y1 y11
#define debug(x) cerr<<#x<<'='<<x<<'\n'
#define fout fflush(stdout)
invoid input(int &N_,int A_[],bool F_)
{
    if(F_) inint(N_);
    For(i,1,N_) inint(A_[i]);
}
template <typename Type>
inline Type md(Type w1,const Type w2)
{
    w1%=w2; if(w1<0) w1+=w2;
    return w1;
}
template <typename Type>
invoid add(Type &w1,const Type w2,const Type M_)
{ w1=md(w1+w2,M_); }
invoid mul(LL &w1,cLL w2,cLL M_)
{ w1=md(w1*w2,M_); }
inLL gcd(LL X_,LL Y_)
{
    LL R_=X_%Y_;
    while(R_)
    { X_=Y_; Y_=R_; R_=X_%Y_; }
    return Y_;
}
invoid ex_gcd(LL &X_,LL &Y_,LL A_,LL B_)
{
    if(!B_)
    {
        X_=1ll; Y_=0ll;
        return ;
    }
    ex_gcd(Y_,X_,B_,A_%B_);
    X_=md(X_,B_); Y_=(1ll-X_*A_)/B_;
}
inLL inv(LL A_,LL B_)
{
    LL X_=0ll,Y_=0ll;
    ex_gcd(X_,Y_,A_,B_);
    return X_;
}
inLL pw(LL X_,LL Y_,LL M_)
{
    LL S_=1ll;
    while(Y_)
    {
        if(Y_&1) mul(S_,X_,M_);
        Y_>>=1;
        mul(X_,X_,M_);
    }
    return S_;
}
template <typename Type>
invoid get_min(Type &w1,const Type w2)
{ if(w2<w1) w1=w2; }
template <typename Type>
invoid get_max(Type &w1,const Type w2)
{ if(w2>w1) w1=w2; }
//inLL A(cint N_,cint M_)
//{ return (N_>=M_?md(d1[N_]*d2[N_-M_],mod):0ll); }
//inLL C(cint N_,cint M_)
//{ return (N_>=M_?md(d1[N_]*md(d2[M_]*d2[N_-M_],mod),mod):0ll); }
//mt19937 gen(time(NULL));
//mt19937_64 gen(time(NULL));
//cLL base[]={166686661,188868881},mod[]={1686688681,1666868881};
//cLL base[]={166686661,188868881},mod[]={1686688681,1666868881},inter=1861;
//cLL mod[]={1e9+7,1e9+9,1e9+21,1e9+33};
//cLL mod=998244353;
cint N=52,M=5010;
int n,m;
LL mod;
LL dp[M][N][N],sum[M][N][N];
invoid solve()
{
    inpr(n,m); inll(mod);
    memset(dp,0,sizeof(dp));
    memset(sum,0,sizeof(sum));
    dp[0][1][1]=1ll;
    For(i,0,m) For(j,1,n) For(k,1,j)
    {
        if(k) add(sum[i][j][k],sum[i][j][k-1],mod);
        add(dp[i][j][k],sum[i][j][k],mod);
        exc(!dp[i][j][k]);
        add(sum[i+1][j][k+1],dp[i][j][k],mod);
        if(j<n)
            add(dp[i+1][j+1][k],dp[i][j][k],mod);
        else if(i<k*(k-1)/2+n*(n-1)/2)
            //printf("i=%d,j=%d,k=%d\n",i,j,k),
            add(dp[i+1][j][k],dp[i][j][k],mod);
    }
    For(i,1,m)
    {
        LL sum=0ll;
        For(j,1,n) For(k,1,j)
            add(sum,dp[i][j][k],mod);
        printf("%lld%c",sum," \n"[i==m]);
    }
}
int main()
{
    int _;
    inint(_);
    while(_--) solve();
    return 0;
}