#include using namespace std; typedef long long ll; typedef vector VI; typedef vector VVI; typedef vector VL; typedef vector> VVL; typedef pair Pair; typedef tuple tpl; #define ALL(a) (a).begin(),(a).end() #define SORT(c) sort((c).begin(),(c).end()) #define REVERSE(c) reverse((c).begin(),(c).end()) #define EXIST(m,v) (m).find((v)) != (m).end() #define LB(a,x) lower_bound((a).begin(), (a).end(), x) - (a).begin() #define UB(a,x) upper_bound((a).begin(), (a).end(), x) - (a).begin() #define FOR(i,a,b) for(int i=(a);i<(b);++i) #define REP(i,n) FOR(i,0,n) #define RFOR(i,a,b) for(int i=(a)-1;i>=(b);--i) #define RREP(i,n) RFOR(i,n,0) #define en "\n" constexpr double EPS = 1e-9; constexpr double PI = 3.1415926535897932; constexpr int INF = 2147483647; constexpr long long LINF = 1LL<<60; constexpr long long MOD = 1000000007; // 998244353; template inline bool chmax(T& a, T b){if(a inline bool chmin(T& a, T b){if(a>b){a=b;return true;}return false;} void add(int& a, int b){ a += b; if(a>=MOD) a -= MOD; return; } void Main(){ int N,S,K; cin >> N >> S >> K; int M = S - K*N*(N-1)/2; if(M<0){ cout << 0 << en; return; } int dp[N+1][M+1]; REP(i,N+1)REP(j,M+1) dp[i][j] = 0; dp[0][0] = 1; REP(i,N)REP(j,M+1){ if(dp[i][j] == 0) continue; add(dp[i+1][j], dp[i][j]); FOR(ai,1,M+1){ int to = j+ai*(N-i); if(to>M) break; add(dp[i+1][to], dp[i][j]); } } int ans = dp[N][M]; cout << ans << en; return; } int main(void){ cin.tie(0);cout.tie(0);ios_base::sync_with_stdio(0);cout<>t; while(t--) Main(); return 0; }