#include using namespace std; using ll = long long; using Edge = pair; using Graph = vector>; #define REP(i, n) for (int i = 0; i < (n); ++i) #define SORT(v) sort((v).begin(), (v).end()) #define RSORT(v) sort((v).rbegin(), (v).rend()) const ll MOD = 1000000007; const ll nmax = 8; const ll INF = 1e9; bool graph[nmax][nmax]; vector> dist = vector>(nmax, vector(nmax, INF)); void warshall_floyd(ll n) { for (size_t i = 0; i < n; i++) { for (size_t j = 0; j < n; j++) { for (size_t k = 0; k < n; k++) { dist[j][k] = min(dist[j][k], dist[j][i] + dist[i][k]); } } } } class UnionFind { public: vector Parent; UnionFind(ll N) { Parent = vector(N, -1); } ll find(ll A) { if (Parent[A] < 0) return A; return Parent[A] = find(Parent[A]); } ll size(ll A) { return -Parent[find(A)]; } bool Union(ll A, ll B) { A = find(A); B = find(B); if (A == B) { return false; } if (size(A) < size(B)) swap(A, B); Parent[A] += Parent[B]; Parent[B] = A; return true; } }; ll gcd(ll a, ll b) { if (b == 0) return a; return gcd(b, a % b); } ll lcm(ll a, ll b) { ll g = gcd(a, b); return a / g * b; } ll mulMod(ll a, ll b) { return (((a % MOD) * (b % MOD)) % MOD); } ll powMod(ll a, ll p) { if (p == 0) { return 1; } else if (p % 2 == 0) { ll half = powMod(a, p / 2); return mulMod(half, half); } else { return mulMod(powMod(a, p - 1), a); } } ll ceil(ll a, ll b) { return (a + b - 1) / b; } bool isOK(map cnter, ll cnt, ll K, char c) { if (cnt == K) { if (cnter[c] >= 1) { return true; } else { return false; } } else if (cnt == K - 1) { if (cnter[c] == 0) { return true; } } return false; } ll dp[110][20010]; int main() { ll N, S, K; cin >> N >> S >> K; ll must = ((N - 1) * N / 2) * K; S -= must; dp[0][0] = 1; if (S < 0) { cout << 0 << endl; return 0; } for (int i = 1; i <= N; i++) { for (int j = 0; j <= S; j++) { if (j - i >= 0) { dp[i][j] = (dp[i - 1][j] + dp[i][j - i]) % MOD; } else { dp[i][j] = dp[i - 1][j]; } } } cout << dp[N][S] << endl; return 0; }