#pragma GCC optimize ("O3") #pragma GCC target ("avx") #include "bits/stdc++.h" // define macro "/D__MAI" using namespace std; typedef long long int ll; #define debugv(v) printf("L%d %s => ",__LINE__,#v);for(auto e:v){cout< ",__LINE__,#m);for(int x=0;x<(w);x++){cout<<(m)[x]<<" ";}cout< ostream& operator <<(ostream &o, const pair p) { o << "(" << p.first << ":" << p.second << ")"; return o; } #define TIME chrono::system_clock::now() #define MILLISEC(t) (chrono::duration_cast(t).count()) namespace { std::chrono::system_clock::time_point ttt; void tic() { ttt = TIME; } void toc() { fprintf(stderr, "TIME : %lldms\n", MILLISEC(TIME - ttt)); } std::chrono::system_clock::time_point tle = TIME; #ifdef __MAI void safe_tle(int msec) { assert(MILLISEC(TIME - tle) < msec); } #else #define safe_tle(k) ; #endif } #ifdef __MAI #define getchar_unlocked getchar #define putchar_unlocked putchar #endif #ifdef __VSCC #define getchar_unlocked _getchar_nolock #define putchar_unlocked _putchar_nolock #endif namespace { #define isvisiablechar(c) (0x21<=(c)&&(c)<=0x7E) class MaiScanner { public: template void input_integer(T& var) { var = 0; T sign = 1; int cc = getchar_unlocked(); for (; cc<'0' || '9'>(int& var) { input_integer(var); return *this; } inline MaiScanner& operator>>(long long& var) { input_integer(var); return *this; } inline MaiScanner& operator>>(string& var) { int cc = getchar_unlocked(); for (; !isvisiablechar(cc); cc = getchar_unlocked()); for (; isvisiablechar(cc); cc = getchar_unlocked()) var.push_back(cc); } }; } MaiScanner scanner; ll n, ss, kk; // int dp[102][20002]; ll dfs(ll index, ll coin) { static unordered_map memo; if (index == n){ return coin == 0; } ll key = (index<<32) | coin; if (memo.count(key)) return memo[key]; ll prev = index == 0 ? -kk : 0; ll result = 0; for (ll vel = prev + kk; coin - vel*(n - index) >= 0; ++vel) { result = (result + dfs(index + 1, coin - vel*(n - index))) % MD; } return memo[key] = result; } // dfs(0,ss,-kk); int main() { cin >> n >> ss >> kk; // fill(dp[0], dp[0] + ss + 1, 1); // // for (int i = 1; i < n ; ++i) { // for (int coin = 0; coin < ss; ++coin) { // if (dp[i - 1][coin]) // for (int vel = kk; coin + vel*(n - i) <= ss; ++vel) { // dp[i][coin + vel*(n - i)] += dp[i - 1][coin]; // } // } // } // cout << dp[n - 1][ss]; cout << dfs(0, ss) << endl; return 0; }