#include #include using namespace std; using namespace atcoder; using lint = long long; using ulint = unsigned long long; using llint = __int128_t; struct edge; using graph = vector>; #define endl '\n' constexpr int INF = 1<<30; constexpr lint INF64 = 1LL<<61; constexpr lint mod107 = 1e9+7; using mint107 = modint1000000007; constexpr long mod = 998244353; using mint = modint998244353; lint ceilDiv(lint x, lint y){if(x >= 0){return (x+y-1)/y;}else{return x/y;}} lint floorDiv(lint x, lint y){if(x >= 0){return x/y;}else{return (x-y+1)/y;}} lint Sqrt(lint x) {assert(x >= 0); lint ans = sqrt(x); while(ans*ans > x)ans--; while((ans+1)*(ans+1)<=x)ans++; return ans;} lint gcd(lint a,lint b){if(a 0){int a = n%10;char b = '0' + a;string c = "";c += b;n /= 10;ans = c + ans;}}return ans;} string toString(lint n, lint k){string ans = toString(n);string tmp = "";while(ans.length() + tmp.length() < k){tmp += "0";}return tmp + ans;} vectorprime;void makePrime(lint n){prime.push_back(2);for(lint i=3;i<=n;i+=2){bool chk = true;for(lint j=0;j= 0) { if(y >= 0) return 1; else return 4; } else { if(y >= 0) return 2; else return 3; } } }; bool operator<(const Point &left, const Point &right) { if(left.quad == right.quad) { return left.y * right.x < left.x * right.y; } else { return left.quad < right.quad; } } struct Frac { lint upper, lower; Frac() { Frac(0,1); } Frac(lint u, lint l) { assert(l != 0); if(u <= 0 && l < 0) { upper = -u; lower = -l; } else { upper = u; lower = l; } reduction(); } Frac(lint u) { upper = u; lower = 1; } void reduction() { if(upper != 0) { lint g = gcd(abs(upper), abs(lower)); upper /= g; lower /= g; if(lower < 0) {lower *= -1; upper *= -1; } } else { lower = 1; } } Frac operator+(const Frac &other) { lint L = lower * other.lower; lint U = upper*other.lower + lower*other.upper; return Frac(U, L); } Frac operator-(const Frac &other) { lint L = lower * other.lower; lint U = upper*other.lower - lower*other.upper; upper = U; lower = L; return Frac(U, L); } bool operator<=(const Frac &other) { return upper*other.lower <= lower*other.upper; } Frac operator*(const Frac &other) { lint L = lower * other.lower; lint U = upper * other.upper; return Frac(U, L); } Frac operator/(const Frac &other) { assert(other.upper != 0); lint L = lower * other.upper; lint U = upper * other.lower; return Frac(U, L); } }; bool operator<(const Frac &left, const Frac &right) { llint L = left.upper; L *= right.lower; llint R = right.upper; R *= left.lower; return L < R; } lint extGCD(lint a, lint b, lint &x, lint &y) { if (b == 0) { x = 1; y = 0; return a; } lint d = extGCD(b, a%b, y, x); y -= a/b * x; return d; } struct edge{ edge(lint v, lint c = 1) {to = v, cost = c;} lint to; lint cost; }; vectordijkstra(int s, graph &g) { vecret(g.size(), INF64); priority_queue>que; que.push({-0, s}); ret[s] = 0; while(!que.empty()) { auto q = que.top(); que.pop(); for(auto&& e: g[q.second]) { if(ret[e.to] > -q.first + e.cost) { ret[e.to] = -q.first + e.cost; que.push({-ret[e.to], e.to}); } } } return ret; } int main(){ lint n, m, k; cin >> n >> m >> k; mapcnt; for(lint i = 1; i <= m; i++) { cnt[m / i]++; } mapmp1, mp2; int cc = 0; for(auto p: cnt) { mp1[cc] = p.first; mp2[p.first] = cc; cc++; } vec>>dp(40, vec>(cc, vec(cc))); repp(i, 1,m+1) repp(j,1, m+1) { if(abs(m/i - m/j) > k) { continue; } dp[0][mp2[i]][mp2[j]] += cnt[i] * cnt[j]; } rep(it, 39) { rep(i, cc) { rep(j, cc) { rep(kk, cc) { dp[it+1][i][j] += dp[it][i][kk] * dp[it][kk][j]; } } } } vec>ans(cc, vec(cc)); rep(i, cc) ans[i][i] = 1; rep(s, 40) { if((1LL << s) & n) { vec>M(cc, vec(cc)); rep(i, cc) { rep(j, cc) { rep(kk, cc) { M[i][j] += dp[s][i][kk] * ans[kk][j]; } } } ans = M; } } mint anss = 0; rep(i, cc) { rep(j, cc) { anss += ans[i][j]; } } cout << anss.val() << endl; }