#include #include typedef long long int ll; #define REP(i, n) for(int i = 0; i < (n); i++) #define FOR_IN(i, a, b) for(int i = (a); i < (b); i++) #define BETWEEN(x, a, b) ((x) >= (a) && (x) <= (b)) #define LOG(...) fprintf(stderr, __VA_ARGS__) using namespace std; /* n s k n 100 s 20000 k 100 */ ll pow(int x, int n){ return n == 0 ? 1 : x * pow(x, n - 1); } const int MAX = pow(10,9) + 7; int n,s,k,S; int dp[101][20001]; int main(){ cin >> n >> s >> k; S = s - n * (n - 1) * k / 2; REP(j,S+1) dp[1][j] = 1; FOR_IN(i,2,n+1){ REP(j,S+1){ if(j>=i) dp[i][j] = (dp[i][j-i] + dp[i-1][j]) % MAX; else dp[i][j] = dp[i-1][j]; } } cout << dp[n][S] << endl; return 0; }