#include #define rep(i,n) for(int i = 0; i < (n); ++i) #define srep(i,s,t) for (int i = s; i < t; ++i) #define drep(i,n) for(int i = (n)-1; i >= 0; --i) using namespace std; typedef long long int ll; typedef pair P; #define yn {puts("Yes");}else{puts("No");} #define MAX_N 105 #define MAX_S 20005 ll dp[MAX_N][MAX_S]; int main() { int n, s, k; cin >> n >> s >> k; s -= (n - 1) * n / 2 * k; if(s < 0){ cout << '0' << endl; return 0; } if(n == 1){ cout << '1' << endl; return 0; } ll ans = 0; ll MOD = 1e9+7; drep(i,n){ if(i == n - 1){ rep(j,s+1){ dp[i][j] = 1; } continue; } rep(j,s+1){ rep(l, s+1){ if(j - l*(n-i) < 0)break; dp[i][j] += dp[i+1][j-l*(n-i)]; dp[i][j] %= MOD; } } } /* rep(j,s+1){ rep(i,n){ cout << dp[i][j] << ' '; } cout << endl; } */ ans += dp[0][s]; ans %= MOD; cout << ans << endl; return 0; }