From 0eaf0160527490d53ba22cf7825bdae965c77455 Mon Sep 17 00:00:00 2001
From: Baoshuo <i@baoshuo.ren>
Date: Fri, 14 Oct 2022 21:46:00 +0800
Subject: [PATCH] G - Shinyruo and KFC

https://codeforces.com/gym/103428/submission/176151882
---
 Gym/103428/G/G.cpp | 75 ++++++++++++++++++++++++++++++++++++++++++++++
 1 file changed, 75 insertions(+)
 create mode 100644 Gym/103428/G/G.cpp

diff --git a/Gym/103428/G/G.cpp b/Gym/103428/G/G.cpp
new file mode 100644
index 00000000..7e03394d
--- /dev/null
+++ b/Gym/103428/G/G.cpp
@@ -0,0 +1,75 @@
+#include <iostream>
+#include <unordered_map>
+
+using std::cin;
+using std::cout;
+const char endl = '\n';
+
+const int N = 5e4 + 5;
+const int mod = 998244353;
+
+int n, m, max, fac[N], inv[N], fac_inv[N];
+std::unordered_map<int, int> map;
+
+int binpow(int a, int b) {
+    a %= mod;
+
+    int res = 1;
+
+    while (b) {
+        if (b & 1) res = static_cast<long long>(res) * a % mod;
+        a = static_cast<long long>(a) * a % mod;
+        b >>= 1;
+    }
+
+    return res;
+}
+
+inline int C(int n, int m) {
+    return static_cast<long long>(fac[n]) * fac_inv[m] % mod * fac_inv[n - m] % mod;
+}
+
+int main() {
+    std::ios::sync_with_stdio(false);
+    cin.tie(nullptr);
+
+    fac[0] = 1;
+    for (int i = 1; i < N; i++) {
+        fac[i] = static_cast<long long>(fac[i - 1]) * i % mod;
+    }
+
+    inv[0] = inv[1] = 1;
+    for (int i = 2; i < N; i++) {
+        inv[i] = static_cast<long long>(mod - mod / i) * inv[mod % i] % mod;
+    }
+
+    fac_inv[0] = fac_inv[1] = 1;
+    for (int i = 2; i < N; i++) {
+        fac_inv[i] = static_cast<long long>(fac_inv[i - 1]) * inv[i] % mod;
+    }
+
+    cin >> n >> m;
+
+    for (int i = 1, x; i <= n; i++) {
+        cin >> x;
+
+        map[x]++;
+        max = std::max(max, x);
+    }
+
+    for (int i = 1; i < max; i++) {
+        cout << 0 << endl;
+    }
+
+    for (int k = max; k <= m; k++) {
+        int res = 1;
+
+        for (auto item : map) {
+            res = static_cast<long long>(res) * binpow(C(k, item.first), item.second) % mod;
+        }
+
+        cout << res << endl;
+    }
+
+    return 0;
+}