#include const int Mod = 998244353; void merge_sort(int x[], int n) { static int y[101] = {}; if (n <= 1) return; merge_sort(&(x[0]), n/2); merge_sort(&(x[n/2]), (n+1)/2); int i, p, q; for (i = 0, p = 0, q = n/2; i < n; i++) { if (p >= n/2) y[i] = x[q++]; else if (q >= n) y[i] = x[p++]; else y[i] = (x[p] < x[q])? x[p++]: x[q++]; } for (i = 0; i < n; i++) x[i] = y[i]; } int memo[101][101][10001]; int recursion(int N, int M, int S) { if (memo[N][M][S] >= 0) return memo[N][M][S]; else if (N * M < S) { memo[N][M][S] = 0; return memo[N][M][S]; } int i, j, k; long long ans = 0; for (i = 0; i <= M && i <= S; i++) ans += recursion(N - 1, i, S - i); memo[N][M][S] = ans % Mod; return memo[N][M][S]; } int main() { int i, N, K, A[101]; scanf("%d %d", &N, &K); for (i = 0; i < N; i++) scanf("%d", &(A[i])); merge_sort(A, N); int j, k = 0, l, num[101] = {}; for (i = 0, k = 0; i < N; i = j, k++) { for (j = i + 1; j < N && A[j] == A[i]; j++); num[k] = j - i; } for (i = 1; i <= N; i++) for (j = 0; j <= N; j++) for (l = 0; l <= N * N; l++) memo[i][j][l] = -1; for (j = 0; j <= N; j++) for (l = 1, memo[0][j][0] = 1; l <= N * N; l++) memo[0][j][l] = 0; int sum = num[0]; long long dp[101][5001] = {}; for (i = 1, dp[0][0] = 1; i < k; i++) { if (num[i] == 0) continue; for (j = sum * (sum - 1) / 2; j >= 0; j--) { dp[i-1][j] %= Mod; for (l = 0; l <= sum * num[i]; l++) dp[i][j+l] += dp[i-1][j] * recursion(num[i], sum, l) % Mod; } sum += num[i]; } printf("%lld\n", dp[k-1][K] % Mod); fflush(stdout); return 0; }