import std.conv, std.functional, std.range, std.stdio, std.string; import std.algorithm, std.array, std.bigint, std.complex, std.container, std.math, std.numeric, std.regex, std.typecons; import core.bitop; class EOFException : Throwable { this() { super("EOF"); } } string[] tokens; string readToken() { for (; tokens.empty; ) { if (stdin.eof) { throw new EOFException; } tokens = readln.split; } auto token = tokens.front; tokens.popFront; return token; } int readInt() { return readToken.to!int; } long readLong() { return readToken.to!long; } real readReal() { return readToken.to!real; } bool chmin(T)(ref T t, in T f) { if (t > f) { t = f; return true; } else { return false; } } bool chmax(T)(ref T t, in T f) { if (t < f) { t = f; return true; } else { return false; } } int binarySearch(alias pred, T)(in T[] as) { int lo = -1, hi = cast(int)(as.length); for (; lo + 1 < hi; ) { const mid = (lo + hi) >> 1; (unaryFun!pred(as[mid]) ? hi : lo) = mid; } return hi; } int lowerBound(T)(in T[] as, T val) { return as.binarySearch!(a => (a >= val)); } int upperBound(T)(in T[] as, T val) { return as.binarySearch!(a => (a > val)); } enum MO = 10L^^9 + 7; long power(long a, long e) { long x = a % MO, y = 1 % MO; for (; e; e >>= 1) { if (e & 1) y = (y * x) % MO; x = (x * x) % MO; } return y; } int N; long C; long[] A; void main() { try { for (; ; ) { N = readInt(); C = readLong(); A = new long[N]; foreach (i; 0 .. N) { A[i] = readLong(); } auto f = new long[N + 1]; f[0] = 1; foreach (i; 0 .. N) { foreach_reverse (j; 0 .. i + 1) { (f[j + 1] -= f[j] * A[i]) %= MO; } } debug { writeln("f = ", f); } auto g = new long[N]; g[0] = 1; foreach (i; 1 .. N) { foreach (j; 0 .. i) { (g[i] -= f[i - j] * g[j]) %= MO; } } debug { writeln("g = ", g); } long[] mul(long[] a, long[] b) { auto c = new long[2 * N - 1]; foreach (i; 0 .. N) foreach (j; 0 .. N) { (c[i + j] += a[i] * b[j]) %= MO; } foreach_reverse (i; N .. 2 * N - 1) { foreach (j; 1 .. N + 1) { (c[i - j] -= f[j] * c[i]) %= MO; } } return c[0 .. N]; } auto x = new long[N]; auto y = new long[N]; if (N == 1) { x[0] = -f[1]; } else { x[1] = 1; } y[0] = 1; for (long e = C; e; e >>= 1) { if (e & 1) { y = mul(y, x); } x = mul(x, x); } long ans; foreach (i; 0 .. N) { (ans += y[i] * g[i]) %= MO; } foreach (i; 0 .. N) { (ans -= power(A[i], C)) %= MO; } ans = (ans % MO + MO) % MO; writeln(ans); } } catch (EOFException e) { } }