#include using namespace std; #define REP(i,a,b) for(i=a;i'9')break;*x=(*x)*10+k-'0';}if(m)(*x)=-(*x);} void reader(ll *x){int k,m=0;*x=0;for(;;){mygc(k);if(k=='-'){m=1;break;}if('0'<=k&&k<='9'){*x=k-'0';break;}}for(;;){mygc(k);if(k<'0'||k>'9')break;*x=(*x)*10+k-'0';}if(m)(*x)=-(*x);} void reader(double *x){scanf("%lf",x);} int reader(char c[]){int i,s=0;for(;;){mygc(i);if(i!=' '&&i!='\n'&&i!='\r'&&i!='\t'&&i!=EOF) break;}c[s++]=i;for(;;){mygc(i);if(i==' '||i=='\n'||i=='\r'||i=='\t'||i==EOF) break;c[s++]=i;}c[s]='\0';return s;} template void reader(T *x, S *y){reader(x);reader(y);} template void reader(T *x, S *y, U *z){reader(x);reader(y);reader(z);} template void reader(T *x, S *y, U *z, V *w){reader(x);reader(y);reader(z);reader(w);} void writer(int x, char c){int s=0,m=0;char f[10];if(x<0)m=1,x=-x;while(x)f[s++]=x%10,x/=10;if(!s)f[s++]=0;if(m)mypc('-');while(s--)mypc(f[s]+'0');mypc(c);} void writer(ll x, char c){int s=0,m=0;char f[20];if(x<0)m=1,x=-x;while(x)f[s++]=x%10,x/=10;if(!s)f[s++]=0;if(m)mypc('-');while(s--)mypc(f[s]+'0');mypc(c);} void writer(double x, char c){printf("%.15f",x);mypc(c);} void writer(const char c[]){int i;for(i=0;c[i]!='\0';i++)mypc(c[i]);} void writer(const char x[], char c){int i;for(i=0;x[i]!='\0';i++)mypc(x[i]);mypc(c);} template void writerLn(T x){writer(x,'\n');} template void writerLn(T x, S y){writer(x,' ');writer(y,'\n');} template void writerLn(T x, S y, U z){writer(x,' ');writer(y,' ');writer(z,'\n');} template void writerArr(T x[], int n){int i;if(!n){mypc('\n');return;}rep(i,n-1)writer(x[i],' ');writer(x[n-1],'\n');} char memarr[17000000]; void *mem = memarr; #define MD 1000000007 int get_inv(ll a, int md){ll t=a,s=md,u=1,v=0,e;while(s){e=t/s;t-=e*s;u-=e*v;swap(t,s);swap(u,v);}if(u<0)u+=md;return u;} struct mint{ static unsigned md, W, R, Rinv, mdninv, RR; unsigned val; mint(){}mint(int a){val=mulR(a);}mint(unsigned a){val=mulR(a);}mint(ll a){val=mulR(a);}mint(ull a){val=mulR(a);} void setmod(unsigned m){int i;unsigned t;W=32;md=m;R=(1ULL<>W);if(t>=md)t-=md;return t;}unsigned reduce(ull T){unsigned m=(unsigned)T*mdninv;unsigned t=(unsigned)((T+(ull)m*md)>>W);if(t>=md)t-=md;return t;} unsigned get(){return reduce(val);} mint&operator+=(mint a){val+=a.val;if(val>=md)val-=md;return*this;}mint&operator-=(mint a){if(val>=1;a*=a;}return r;} bool operator==(int a){return mulR(a)==val;} bool operator!=(int a){return mulR(a)!=val;} }; unsigned mint::md, mint::W, mint::R, mint::Rinv, mint::mdninv, mint::RR; mint operator+(int a, mint b){return mint(a)+=b;}mint operator-(int a, mint b){return mint(a)-=b;}mint operator*(int a, mint b){return mint(a)*=b;}mint operator/(int a, mint b){return mint(a)/=b;} mint operator+(ll a, mint b){return mint(a)+=b;}mint operator-(ll a, mint b){return mint(a)-=b;}mint operator*(ll a, mint b){return mint(a)*=b;}mint operator/(ll a, mint b){return mint(a)/=b;} mint mval[10000], minv[10000]; void mint_init(unsigned md=MD, mint val[]=mval, int vals=10000, mint inv[]=minv, int invs=10000){int i;val[0].setmod(md);val[0].val=0;REP(i,1,vals){val[i].val=val[i-1].val+mint::R;if(val[i].val>=md)val[i].val-=md;}inv[1].val=1;REP(i,2,invs){inv[i].val=md-((ll)(md/i)*inv[md%i].val%md);}REP(i,1,invs)inv[i].val=(ull)inv[i].val*mint::R%md;} void reader(mint *x){int k;reader(&k);(*x)=k;} void writer(mint a, char c){writer((int)a,c);} struct combination{ int *f,*v,m,s;unsigned **d; void* init(void *mem, int md, int lim=1000100, int small=0){int i,j;m=md;s=small;f=(int*)mem;v=f+lim;d=(unsigned**)(v+lim);d[0]=(unsigned*)(d+s);REP(i,1,s)d[i]=d[i-1]+s;mem=(void*)(d[0]+s*s);if(lim){f[0]=1;REP(i,1,lim)f[i]=(ll)f[i-1]*i%m;v[lim-1]=get_inv(f[lim-1],m);for(i=lim-1;i;i--)v[i-1]=(ll)v[i]*i%m;}REP(i,1,s)d[0][i]=0;rep(i,s)d[i][0]=1;REP(i,1,s)REP(j,1,s){d[i][j]=d[i-1][j-1]+d[i-1][j];if(d[i][j]>=m)d[i][j]-=m;}return mem;} ll C(int a, int b){if(b<0||b>a)return 0;if(aa)return 0;return (ll)f[a]*v[a-b]%m;} ll H(int a, int b){if(a==0&&b==0)return 1;if(a<=0||b<0)return 0;return C(a+b-1,b);} }; int main(){ int i, j, k; int N, K, D; int tm, rs; mint res, mul; combination comb; mint_init(); mem = comb.init(mem, MD); reader(&N,&K,&D); tm = 0; rs = N; while(rs >= K){ rs -= K - 1; tm++; } res = 0; mul = 1; rep(i,tm+1){ res += mul * comb.H(rs-1, tm-i); mul *= D; } res *= rs; writerLn(res); return 0; }