#include #define FOR(i,a,b) for(int i=(a);i<(b);i++) #define REP(i,n) for(int i=0;i < (n);i++) #define ALL(obj) (obj).begin(),(obj).end() #define SCANF(i) int i;scanf("%d",&i) typedef long long ll; using namespace std; using P = pair; const long long INF = 1LL << 60; const int IINF=100000000; const int MOD = (int)1e9 + 7; //約数列挙 vector divisor(long long n) { vector ret; for (long long i = 1; i * i <= n; i++) { if (n % i == 0) { ret.push_back(i); if (i * i != n) ret.push_back(n / i); } } //sort(ret.begin(), ret.end()); // 昇順に並べる return ret; } vector dx={1,0,-1,0};vector dy={0,-1,0,1}; signed main () { ll n,s,k;cin >> n >> s >> k; s -= n*(n-1)*k/2; if(s<0) { cout << 0 << endl;return 0; } vector> dp(n+1,vector(s+1,0)); dp[0][0]=1; FOR(i,1,n+1){ REP(j,s+1){ if(j-i>=0)dp[i][j]=dp[i][j-i]+dp[i-1][j]; else dp[i][j]=dp[i-1][j]; dp[i][j]%=MOD; } } cout << dp[n][s] << endl; } //https://yukicoder.me/problems/no/269