#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; using pii = pair; using ll = long long; using pll = pair; using ld = long double; using vll = vector; using vvll = vector>; #define pb push_back #define mp make_pair #define sc second #define fr first #define stpr setprecision #define cYES cout << "YES" << endl #define cNO cout << "NO" << endl #define cYes cout << "Yes" << endl #define cNo cout << "No" << endl #define rep(i, n) for (ll i = 0; i < (n); ++i) #define Rep(i, a, b) for (ll i = (a); i < (b); ++i) #define rrep(i, n) for (ll i = n - 1; i >= 0; i--) #define rRep(i, a, b) for (ll i = a; i >= b; i--) #define crep(i) for (char i = 'a'; i <= 'z'; ++i) #define psortsecond(A, N) \ sort(A, A + N, \ [](const pii& a, const pii& b) { return a.second < b.second; }); #define ALL(x) (x).begin(), (x).end() #define debug(v) \ cout << #v << ":"; \ for (auto x : v) { \ cout << x << ' '; \ } \ cout << endl; #define endl '\n' int ctoi(const char c) { if ('0' <= c && c <= '9') return (c - '0'); return -1; } ll gcd(ll a, ll b) { return (b == 0 ? a : gcd(b, a % b)); } ll lcm(ll a, ll b) { return a * b / gcd(a, b); } constexpr ll MOD = 1000000007; constexpr ll INF = 1000000011; constexpr ll MOD2 = 998244353; constexpr ll LINF = 1001002003004005006ll; constexpr ld EPS = 10e-8; template inline bool chmax(T& lhs, const U& rhs) { if (lhs < rhs) { lhs = rhs; return 1; } return 0; } template inline bool chmin(T& lhs, const U& rhs) { if (lhs > rhs) { lhs = rhs; return 1; } return 0; } template istream& operator>>(istream& is, vector& v) { for (auto&& x : v) is >> x; return is; } template istream& operator>>(istream& is, pair& p) { is >> p.first; is >> p.second; return is; } template ostream& operator>>(ostream& os, const pair& p) { os << p.first << ' ' << p.second; return os; } template ostream& operator<<(ostream& os, vector& v) { for (auto i = begin(v); i != end(v); ++i) { if (i != begin(v)) os << ' '; os << *i; } return os; } // modint template class modint { using u64 = std::uint_fast64_t; public: u64 a; constexpr modint(const u64 x = 0) noexcept : a(x % Modulus) {} constexpr u64& value() noexcept { return a; } constexpr const u64& value() const noexcept { return a; } constexpr modint operator+(const modint rhs) const noexcept { return modint(*this) += rhs; } constexpr modint operator-(const modint rhs) const noexcept { return modint(*this) -= rhs; } constexpr modint operator*(const modint rhs) const noexcept { return modint(*this) *= rhs; } constexpr modint operator/(const modint rhs) const noexcept { return modint(*this) /= rhs; } constexpr modint& operator+=(const modint rhs) noexcept { a += rhs.a; if (a >= Modulus) { a -= Modulus; } return *this; } constexpr modint& operator-=(const modint rhs) noexcept { if (a < rhs.a) { a += Modulus; } a -= rhs.a; return *this; } constexpr modint& operator*=(const modint rhs) noexcept { a = a * rhs.a % Modulus; return *this; } constexpr modint& operator/=(modint rhs) noexcept { u64 exp = Modulus - 2; while (exp) { if (exp % 2) { *this *= rhs; } rhs *= rhs; exp /= 2; } return *this; } }; // 分割数dp NのM分割 // 蟻本p66 int main() { ll M, N, K; cin >> M >> N >> K; N -= ((M - 1) * M / 2) * K; // cout << N << endl; if (N < 0) { cout << 0 << endl; return 0; } vvll dp(M + 1, vll(N + 1, 0)); dp[0][0] = 1; Rep(i, 1, M + 1) { rep(j, N + 1) { if (j >= i) { dp[i][j] = (dp[i][j - i] + dp[i - 1][j]) % MOD; } else { dp[i][j] = (dp[i - 1][j]) % MOD; } } } cout << dp[M][N] << endl; }