#include using namespace std; typedef long long signed int LL; typedef long long unsigned int LU; #define incID(i, l, r) for(int i = (l) ; i < (r); i++) #define incII(i, l, r) for(int i = (l) ; i <= (r); i++) #define decID(i, l, r) for(int i = (r) - 1; i >= (l); i--) #define decII(i, l, r) for(int i = (r) ; i >= (l); i--) #define inc(i, n) incID(i, 0, n) #define inc1(i, n) incII(i, 1, n) #define dec(i, n) decID(i, 0, n) #define dec1(i, n) decII(i, 1, n) #define inII(v, l, r) ((l) <= (v) && (v) <= (r)) #define inID(v, l, r) ((l) <= (v) && (v) < (r)) #define PB push_back #define EB emplace_back #define MP make_pair #define FI first #define SE second #define UB upper_bound #define LB lower_bound #define PQ priority_queue #define ALL(v) v.begin(), v.end() #define RALL(v) v.rbegin(), v.rend() #define FOR(it, v) for(auto it = v.begin(); it != v.end(); ++it) #define RFOR(it, v) for(auto it = v.rbegin(); it != v.rend(); ++it) template bool setmin(T & a, T b) { if(b < a) { a = b; return true; } else { return false; } } template bool setmax(T & a, T b) { if(b > a) { a = b; return true; } else { return false; } } template bool setmineq(T & a, T b) { if(b <= a) { a = b; return true; } else { return false; } } template bool setmaxeq(T & a, T b) { if(b >= a) { a = b; return true; } else { return false; } } template T gcd(T a, T b) { return (b == 0 ? a : gcd(b, a % b)); } template T lcm(T a, T b) { return a / gcd(a, b) * b; } // ---- ---- LL n, k, d; const LL MOD = 1000000007; LL dp[2][100001]; LL hh[2][100001]; LL aa[2][100001]; int main() { cin >> n >> k >> d; LL t = (n - 1) / (k - 1); LL l = (n - 1) % (k - 1) + 1; if(d == 1) { cout << l << endl; return 0; } //cout << "T: " << t << ", L: " << l << endl; int fr = 0, to = 1; LL dd = 1; hh[fr][1] = 1; inc(i, t + 1) { inc1(j, l) { hh[to][j] = (hh[fr][j] + hh[to][j - 1]) % MOD; aa[to][j] = (aa[fr][j] * d + hh[to][j - 1]) % MOD; dp[to][j] = (j == 1 ? dd : (dp[fr][j] + dp[to][j - 1] + aa[to][j] + (MOD - aa[fr][j])) % MOD); } (dd *= d) %= MOD; swap(fr, to); //inc1(x, l) { printf("%10lld ", aa[fr][x]); } cout << endl; } cout << dp[fr][l] << endl; return 0; }