import std.conv, std.functional, std.stdio, std.string; import std.algorithm, std.array, std.bigint, std.complex, std.container, std.math, std.numeric, std.range, 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; enum LIM = 3 * 10^^6; long[] inv, fac, invFac; void prepare() { inv = new long[LIM]; fac = new long[LIM]; invFac = new long[LIM]; inv[1] = 1; foreach (i; 2 .. LIM) { inv[i] = MO - ((MO / i) * inv[cast(size_t)(MO % i)]) % MO; } fac[0] = invFac[0] = 1; foreach (i; 1 .. LIM) { fac[i] = (fac[i - 1] * i) % MO; invFac[i] = (invFac[i - 1] * inv[i]) % MO; } } long binom(long n, long k) { if (0 <= k && k <= n) { assert(n < LIM); return fac[cast(size_t)(n)] * invFac[cast(size_t)(k)] % MO * invFac[cast(size_t)(n - k)] % MO; } else { return 0; } } int N, K, D; void main() { /* debug { foreach (n; 2 .. 12) foreach (k; 2 .. n + 1) { int prod = 1; for (int m = n; m >= k; m -= (k - 1)) { prod *= (m - k + 1); } int[][] as; foreach (p; 0 .. prod) { int pp = p; auto a = new int[n]; for (int m = n; m >= k; m -= (k - 1)) { const i = p % (m - k + 1); p /= (m - k + 1); a = a[0 .. i] ~ (a[i .. i + k].sum + 1) ~ a[i + k .. $]; } as ~= a; } as = as.sort.uniq.array; writeln("n = ", n, ", k = ", k); foreach (a; as) { writeln(a); } } } */ prepare(); try { for (; ; ) { N = readInt(); K = readInt(); D = readInt(); int L, M; for (M = N; M >= K; M -= (K - 1)) { ++L; } debug { writeln("L = ", L, ", M = ", M); } long ans; if (D == 1) { ans = M; } else { long dl = 1; foreach (l; 0 .. L + 1) { // H(M - 1, L - l) long tmp = (L - l == 0) ? 1 : binom((M - 1) + (L - l) - 1, L - l); ans += tmp * dl; ans %= MO; dl *= D; dl %= MO; } ans *= M; ans %= MO; } writeln(ans); } } catch (EOFException e) { } }