public static boolean check(long n, int p) {
BigInteger P = BigInteger.TEN.pow(p), Q = BigInteger.TEN.pow(p - 1);
BigInteger N = BigInteger.ONE, tmp = BigInteger.valueOf(2);
while (n > 0) {
if ((n % 2) == 1) {
N = N.multiply(tmp);
N = N.mod(P);
}
tmp = tmp.multiply(tmp);
tmp = tmp.mod(P);
n >>= 1;
}
N = N.divide(Q);
if (N.equals(BigInteger.ONE) || N.equals(BigInteger.valueOf(2))) return true;
else return false;
}
public static void main(String[] args) {
Scanner in = new Scanner(System.in);
n = in.nextInt();
l = new BigInteger(in.next());
k = in.nextInt();
m = in.nextInt();
BigInteger w = BigInteger.TEN.pow(m);
for (int i = 0; i <= n; ++i) a[i] = new BigInteger(in.next());
for (int i = 0; i < Math.min(k, n + 1); ++i) {
t = a[0];
for (int j = 1; j <= n; ++j) {
t = t.multiply(l);
t = t.add(a[j]);
}
t = t.mod(w);
q[n][i] = t.mod(w);
int ret = 0;
c = t.toString().toCharArray();
int ll = c.length;
for (int j = 0; j < Math.min(m, ll); ++j) {
ret += (c[ll - 1 - j] - '0') * (c[ll - 1 - j] - '0');
}
System.out.println(ret);
l = l.add(BigInteger.ONE);
}
if (k > n) {
for (int i = n - 1; i >= 0; --i) {
for (int j = 0; j <= i; j++) q[i][j] = q[i + 1][j + 1].subtract(q[i + 1][j]).mod(w);
}
for (int i = 1; i <= n; ++i) q[0][i] = q[0][0];
int po = 1;
for (int i = n + 1; i < k; ++i) {
for (int j = 1; j <= n; ++j)
q[j][(po + j) % (n + 1)] =
q[j - 1][(po + j - 1) % (n + 1)].add(q[j][(po + j - 1) % (n + 1)]).mod(w);
int ret = 0;
c = q[n][(po + n) % (n + 1)].mod(w).toString().toCharArray();
int ll = c.length;
for (int j = 0; j < Math.min(m, ll); ++j) {
ret += (c[ll - 1 - j] - '0') * (c[ll - 1 - j] - '0');
}
System.out.println(ret);
l = l.add(BigInteger.ONE);
++po;
}
}
}
