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

template<typename T>
void out(T x) { cout << x << endl; exit(0); }
#define watch(x) cout << (#x) << " is " << (x) << endl







using ll = long long;
const ll mod = 998244353;

ll pw(ll x, ll y) {
    ll res=1;
    while (y) {
	if (y%2) res=res*x%mod;
	x=x*x%mod;y=y/2;
    }
    return ((res%mod)+mod)%mod;
}

const int maxn = 303;



ll add(ll x, ll y) {
    x %= mod;
    y %= mod;
    x += y;
    x %= mod;
    return x;
}

ll C[maxn][maxn];
ll a[maxn]; //a[i]: A[0]^i + A[1]^i + ... + A[n]^i
ll ans[maxn];


int main() {
    ios_base::sync_with_stdio(false); cin.tie(0);  cout.tie(0);

    for (int i=0; i<maxn; i++) {
	C[i][i] = C[i][0] = 1;
	for (int j=0; j<i; j++) {
	    C[i][j] = (C[i-1][j-1] + C[i-1][j])%mod;
	}
    }

    assert(C[4][2]==6);


    int n, k;
    cin>>n>>k;

    for (int i=0; i<n; i++) {
	ll num;
	cin>>num;
	ll v = 1;
	ll w = 1;
	a[0] = add(a[0], v);
	for (int x=1; x<=k; x++) {
	    v = v*num%mod;
	    w = w*2ll*num%mod;
	    a[x] = add(a[x], v);
	    ans[x] = add(ans[x], mod-w);
	}
    }

    for (int x=1; x<=k; x++) {
	for (int i=0; i<=x; i++) {
	    ans[x] = add(ans[x], C[x][i]*a[i]%mod*a[x-i]%mod);
	}
    }

    ll inv2 = pw(2, mod-2);

    for (int x=1; x<=k; x++) {
	ll res = ans[x];
	res=res*inv2%mod;
	res %= mod;
	res += mod;
	res %= mod;
	cout<<res<<"\n";
	
    }
    
    return 0;
}

#pragma GCC target("avx2")
#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")
#include <bits/stdc++.h>
using namespace std;
#define MOD 1000000007
#define MOD2 998244353
#define rep(i,n) for (int i = 0; i < (int)(n); i++)
#define reps(i,s,n) for (int i = (int)(s); i < (int)(n); i++)
#define repit(i,C) for (auto i = (C).begin(); i != (C).end(); i++)
#define pr(a) cout << a
#define prl(a) cout << (a) << endl
#define prld(a) cout << setprecision(15)<< (a) << endl 
#define allrange(a) a.begin(),a.end()

bool solve_translated(vector<pair<int,int>> &S,vector<pair<int,int>> &T){
    int N = S.size();
    int dx = S[0].first-T[0].first;
    int dy = S[0].second-T[0].second;
    bool flg = true;
    reps(i,1,N){
        if(!((S[i].first==T[i].first+dx) && (S[i].second==T[i].second+dy))){flg = false; break;} 
    }
    return flg;
}
/*ピタゴラ三角形
    5	12	13
    8	15	17
    3	4	5
*/  
vector<pair<int,int>> Pitagora_rot(vector<pair<int,int>> &S,int a, int b , int c){
    int N = S.size();
    vector<pair<int,int>> PS(N);
    auto pt0 = S[0];
    PS[0] = pt0;
    bool flg = true;
    reps(i,1,N){
        int dx = S[i].first - pt0.first;
        int dy = S[i].second - pt0.second;
        int x=dx*a-dy*b;
        int y=dx*b+dy*a;
        if(((x%c)!=0) || ((y%c)!=0)) {flg = false; break;}
        PS[i] = make_pair(x/c+pt0.first, y/c+pt0.second);
    }
    if(flg) return PS;
    else return vector<pair<int,int>>();
}


int main(){
    std::cin.tie(0); // cinとcoutの同期を解除
    std::ios::sync_with_stdio(false);
    int N;cin >> N;

    vector<pair<int,int>> S(N),T(N);
    rep(i,N)
    {
        int x,y;
        cin >> x >> y;
        S[i].first = x;S[i].second = y;
    }

    rep(i,N)
    {
        int x,y;
        cin >> x >> y;
        T[i].first = x;
        T[i].second = y;
    }
    sort(allrange(T));
  
/*ピタゴラ三角形
    5	12	13
    8	15	17
    3	4	5
*/
    constexpr int tri[12][3] ={ 
    {3,4,5},
    {4,3,5},
    {-3,4,5},
    {-4,3,5},
    {0,1,1},
    {1,0,1},
    {-1,0,1},
    {0,-1,1},
    {-3,-4,5},
    {-4,-3,5},
    {3,-4,5},
    {4,-3,5}
    };

 /*
    vector<vector<int>> tri(0);
    tri.push_back(vector<int>({3,4,5}));
    tri.push_back(vector<int>({4,3,5}));
    tri.push_back(vector<int>({-3,4,5}));
    tri.push_back(vector<int>({-4,3,5}));
    tri.push_back(vector<int>({0,1,1}));
    tri.push_back(vector<int>({1,0,1}));
    tri.push_back(vector<int>({-1,0,1}));
    tri.push_back(vector<int>({0,-1,1}));
    tri.push_back(vector<int>({-3,-4,5}));
    tri.push_back(vector<int>({-4,-3,5}));
    tri.push_back(vector<int>({3,-4,5}));
    tri.push_back(vector<int>({4,-3,5}));
 */
 //   tri.push_back(vector<int>({-5, -12, 13}));
 //   tri.push_back(vector<int>({-12, -5, 13}));
 //   tri.push_back(vector<int>({-8,-15,17}));
 //   tri.push_back(vector<int>({-15,-8,17}));
 //   tri.push_back(vector<int>({5, 12, 13}));
 //   tri.push_back(vector<int>({12, 5, 13}));
 //   tri.push_back(vector<int>({8,15,17}));
 //   tri.push_back(vector<int>({15,8,17}));
 //   tri.push_back(vector<int>({-5, 12, 13}));
 //  tri.push_back(vector<int>({-12, 5, 13}));
  //  tri.push_back(vector<int>({-8,15,17}));
  //  tri.push_back(vector<int>({-15,8,17}));
 //   tri.push_back(vector<int>({5, -12, 13}));
 //   tri.push_back(vector<int>({12, -5, 13}));
 //   tri.push_back(vector<int>({8,-15,17}));
 //   tri.push_back(vector<int>({15,-8,17}));

    bool flg;

    if(N==2){
        auto sx = S[0].first-S[1].first;
        auto sy = S[0].second-S[1].second;
        auto tx = T[0].first-T[1].first;
        auto ty = T[0].second-T[1].second;
        flg= (sx*sx+sy*sy==tx*tx+ty*ty);
    } else {
        rep(j,12){    
            auto S2 = Pitagora_rot(S,tri[j][0],tri[j][1],tri[j][2]);
            if(S2.empty()) continue;
            sort(allrange(S2));
            flg = solve_translated(S2,T);
            if(flg) break;
        }
    }
    if(flg) prl("Yes"); else prl("No");
}
