#include #include using namespace std; int main(){ int N, K; cin >> N >> K; long array_patterns[N + 1][N * (N + 1) / 2 + 1]; // now_array_size, now_inversion_number for(int i = 0; i <= N * (N + 1) / 2; i++){ array_patterns[N][i] = (i <= K); } vector array_patterns_cumulative_sum[N + 1]; array_patterns_cumulative_sum[N].push_back(0); long cumulative_sum_last = 0; for(int i = 0; i <= N * (N + 1) / 2; i++){ cumulative_sum_last += array_patterns[N][i]; array_patterns_cumulative_sum[N].push_back(cumulative_sum_last); } for(int i = N - 1; i >= 0; i--){ for(int j = 0; j <= i * (i + 1) / 2; j++){ array_patterns[i][j] = (array_patterns_cumulative_sum[i + 1][i + j + 1] - array_patterns_cumulative_sum[i + 1][j]) % long(1e9 + 7); } array_patterns_cumulative_sum[i].push_back(0); long cumulative_sum = 0; for(int j = 0; j <= i * (i + 1) / 2; j++){ cumulative_sum += array_patterns[i][j]; array_patterns_cumulative_sum[i].push_back(cumulative_sum); } } cout << array_patterns[0][0] << endl; }