#define _USE_MATH_DEFINES #include #ifdef LOC #include "debuglib.h" #else #define deb(...) #define DBP(...) #endif using namespace std; using ll = long long; using Vi = vector; using Pii = pair; #define pb push_back #define mp make_pair #define x first #define y second #define rep(i, b, e) for (int i = (b); i < (e); i++) #define each(a, x) for (auto& a : (x)) #define all(x) (x).begin(), (x).end() #define sz(x) int((x).size()) int uplg(int n) { return 32-__builtin_clz(n); } int uplg(ll n) { return 64-__builtin_clzll(n); } constexpr int MOD = 167772161; ll modPow(ll a, ll e, ll m) { ll t = 1 % m; while (e) { if (e % 2) t = t*a % m; e /= 2; a = a*a % m; } return t; } struct Zp { ll x; Zp() : x(0) {} Zp(ll a) : x(a%MOD) { if (x < 0) x += MOD; } #define OP(c,d) Zp& operator c##=(Zp r) { x = x d; return *this; } Zp operator c(Zp r) const { Zp t = *this; return t c##= r; } OP(+, +r.x - MOD*(x+r.x >= MOD)); OP(-, -r.x + MOD*(x-r.x < 0)); OP(*, *r.x % MOD); OP(/, *r.inv().x % MOD); Zp inv() const { return pow(MOD-2); } Zp pow(ll e) const{ return modPow(x,e,MOD); } void print() { cerr << x; } }; constexpr int MX = 405; using mat = array, MX>; int n, k; Vi elems; vector> ans; void add(mat& dp, int elem) { for (int i = n; i >= 1; i--) { for (int j = k; j >= elem; j--) { dp[i][j] += dp[i-1][j-elem]; } } } void solve(mat& dp, int b, int e) { if (e-b == 1) { rep(i, 1, n) { rep(j, 0, k+1) { if (j+elems[b] > k) { ans[b][i-1] += dp[i][j]; } } } return; } int m = (b+e) / 2; mat cp = dp; rep(i, b, m) add(cp, elems[i]); solve(cp, m, e); cp = dp; rep(i, m, e) add(cp, elems[i]); solve(cp, b, m); } int main() { cin.sync_with_stdio(0); cin.tie(0); cout << fixed << setprecision(18); cin >> n >> k; elems.resize(n); each(e, elems) cin >> e; mat dp; rep(i, 0, MX) rep(j, 0, MX) dp[i][j] = 0; dp[0][0] = 1; ans.resize(n, vector(n-1)); solve(dp, 0, n); each(row, ans) { each(a, row) cout << a.x << ' '; cout << '\n'; } return 0; }