#include #include #include #include #include #include #include #include #include #include #include #define fir first #define sec second #define sz(s) (s).size() #define pb push_back #define get(n) scanf("%d",&n); #define gets(s) string s;cin >> (s); #define prfi(n) printf("%d", &n); #define prfd(n) printf("%lf", &n); #define All(s) (s).begin(), (s).end() #define rep(i,j) for(int (i)=0;(i)<(j);(i)++) #define For(i,j,k) for(int (i)=(j);(i)<(k);(i)++) #define drep(i,j) for(int (i)=(j);(i)>=0;(i)--) #define Ford(i,j,k) for(int (i)=(j);i>=(k);i--) #define fore(c,v) for(auto (c): (v)) #define lp for(int __=0;__; using pll = std::pair; using vi = std::vector ; using vvi = std::vector ; using vll = std::vector; using vvll = std::vector; using vd = std::vector ; using vvd = std::vector ; using qi = std::queue ; using vpii = std::vector >; using vpll = std::vector; using namespace std; const int Mod = (1e9) + 7; const int INF = 1e9 + 19; const ll INFL = 1e18 + 19; const int dx[] = {-1, 0, 0, 1}; const int dy[] = {0, -1, 1, 0}; const int dx2[] = {-1, -1, -1, 0, 0, 0, 1, 1, 1}; const int dy2[] = {1, 0, -1, 1, 0, -1, 1, 0, -1}; const double EPS = 1e-10; //_____________________________________Templates_________________________________________// template inline void chmin(T1 &a, T2 b){if(a > b) a = b;} template inline void chmax(T1 &a, T2 b){if(a < b) a = b;} template inline void pri(T a){cout << a << endl;} template using vec = vector; template using min_priority_queue = priority_queue, greater>; //mainly use for dynamic prog template void update(T1 &a, T2 b){ a += b; if(a > Mod) a %= Mod; } inline void IN(void){ return; } template void IN(First& first, Rest&... rest){ cin >> first; IN(rest...); return; } inline void OUT(void){ cout << "\n"; return; } template void OUT(First first, Rest... rest){ cout << first << " "; OUT(rest...); return; } bool pairsort(pll pl, pll pr){ if(pl.first == pr.first)return pl.second > pr.second; return pl.first < pr.first; } int cntbit(ll a,int n,int j){int res = 0;For(i,j,n){if(a>>i & 1){res++;}}return res;} vector make_bit(int a){vector res; for(int i=31;i>=0;i--)if(a&(1< a)return GCD(b,a);if(a%b == 0)return b;else return GCD(b, a%b);} int LCM(int a, int b){return a*b/GCD(a,b);} int roundup(int a, int b){if(a % b == 0)return a/b;else return (a+b)/b;} int rounddown(int a, int b){if(a%b == 0)return a/b;else {return (a-b)/b;}} ll pow(ll a, ll n){ll res = 1;while(n > 0){if(n&1)res *= a; a *= a; n = n >> 1;}return res;} ll GetDiviserCount(ll N)//約数の個数 { ll res = 1; For(i,2,sqrt(N)+1) { ll cnt = 0; while(N%i == 0) { cnt++; N /= i; } res *= (cnt + 1); if(N == 1)break; } if(N != 1)res *= 2; return res; } vll GetDivisor(ll N)//約数列挙 { vll res; for(ll i = 1;i*i <= N;i++) { if(N%i == 0) { res.pb(i); if(i*i != N)res.pb(N/i); } } sort(All(res)); return res; } struct Modint { using ll = long long int; ll x; Modint(ll x=0) :x((x%Mod+Mod)%Mod) {} Modint operator - () { return Modint(-x); } Modint& operator +=(Modint a) { (x += a.x%Mod)%Mod; return *this; } Modint& operator -=(Modint a) { x = (x - a.x + Mod)%Mod; return *this; } Modint& operator *=(Modint a) { (x *= a.x) %= Mod; return *this; } Modint operator + (Modint a) { Modint b(*this); b += a; return b; } Modint operator - (Modint a) { Modint b(*this); b -= a; return b; } Modint operator * (Modint a) { Modint b(*this); b *= a; return b; } long long int EXTGCD(long long int a, long long int b, long long int &x, long long int &y) { if(b==0) { x = 1; y = 0; return a; } long long int g = EXTGCD(b,a%b,y,x); y -= (a/b)*x; return g; } Modint inverse() { long long int a,b; EXTGCD(x,Mod,a,b); (a += Mod)%=Mod; return a; } Modint pow(ll a) { Modint res = 1; Modint b = x; while(a > 0) { if(a & 1)res *= b; a = a >> 1; b *= b; } return res; } friend ostream& operator<<(ostream& os, const Modint& a); }; ostream& operator<< (ostream& os, const Modint& a) { os << a.x; return os; } struct combination { vector fact,ifact; combination(int n) : fact(n+1), ifact(n+1) { fact[0] = 1; for(int i=1;i<=n;i++)fact[i] = fact[i-1] * i; ifact[n] = fact[n].inverse(); for(int i=n;i>=1;i--)ifact[i-1] = ifact[i] * i; } Modint operator() (int n,int k) { return fact[n]*ifact[n-k]*ifact[k]; } }; using vm = vector; using vvm = vector; template struct MyMatrix { using mat = MyMatrix; vector> m_dat; int m_h; int m_w; MyMatrix(int h, int w) : m_h(h), m_w(w) ,m_dat(h,vector(w)) {} vector &operator[] (int idx) { return m_dat[idx]; } mat Multiple(mat &a) { mat C(m_h, a.m_w); for(int i=0;i 0) { if(x&1)B = B.Multiple(A); A = A.Multiple(A); x = x >> 1; } return B; } //friend ostream& operator<<(ostream &os, const mat &A); }; /* template ostream& operator<<(ostream &os, Matrix& A) { for(int i=0;i using mat = MyMatrix; //_____________________ following sorce code_________________________// const int max_n = 3 * (1e5) + 1; const int max_m = 83 * (1e5) + 1; int n,m,k; ll N; int h,w; string S; int a,b,c; vi v; int ans; double x,y,z; vector G[1010101]; void solve() { int d; IN(n,d,k); vector> dp(n+2,vector(k+2)); dp[0][0] = 1; vector> sum(n+2, vector(k+2)); rep(i,k)sum[0][i+1] = sum[0][i] + dp[0][i]; For(i,1,n+1) { For(j,1,k+1) { dp[i][j] = sum[i-1][j] - sum[i-1][max(0,j-d)]; sum[i][j+1] = sum[i][j] + dp[i][j]; } } //fore(e,dp[n])pri(e); pri(dp[n][k]); } signed main (int argc, char* argv[]) { cin.tie(0); ios::sync_with_stdio(false); int cases=1; //IN(cases); while(cases--)solve(); //pri(ans); //for(auto c : ans){cout << c << endl;} //cout << fixed << setprecision(15) << ans << endl; return 0; }