|
| 1 | +/** |
| 2 | + * @file E-Alphabet_Tiles.cpp |
| 3 | + * @author Naowal Rahman |
| 4 | + * @date 2024-06-23 14:54 |
| 5 | + */ |
| 6 | + |
| 7 | +#include <bits/stdc++.h> |
| 8 | +using namespace std; |
| 9 | + |
| 10 | +#pragma GCC optimize("Ofast,unroll-loops") |
| 11 | +#pragma GCC target("avx2,bmi,bmi2,lzcnt,popcnt") |
| 12 | + |
| 13 | +#ifndef ONLINE_JUDGE |
| 14 | +#include "/home/naowal/Desktop/code/competitive-programming/debug.h" |
| 15 | +#else |
| 16 | +#define dbg(x) |
| 17 | +#define timer() |
| 18 | +#endif |
| 19 | + |
| 20 | +#define int long long |
| 21 | +template<class T> using V = vector<T>; |
| 22 | +using vi = V<int>; |
| 23 | +using pii = pair<int, int>; |
| 24 | +#define first f |
| 25 | +#define second s |
| 26 | +#define sz(x) (int)((x).size()) |
| 27 | +#define all(x) begin(x), end(x) |
| 28 | +#define rall(x) rbegin(x), rend(x) |
| 29 | + |
| 30 | +#define FOR(i,a,b) for (int i = (a); i < (b); ++i) |
| 31 | +#define F0R(i,a) FOR(i,0,a) |
| 32 | +#define ROF(i,a,b) for (int i = (b)-1; i >= (a); --i) |
| 33 | +#define R0F(i,a) ROF(i,0,a) |
| 34 | + |
| 35 | +signed main() { |
| 36 | + cin.tie(0)->sync_with_stdio(0); |
| 37 | + |
| 38 | + constexpr int mod = 998244353; |
| 39 | + |
| 40 | + // precompute binomial coefficients with Pascal's triangle |
| 41 | + V<vi> C(1001, vi(1001)); |
| 42 | + F0R(n, 1001) C[n][0] = 1, C[n][n] = 1; |
| 43 | + FOR(n, 1, 1001) FOR(k, 1, 1001) C[n][k] = (C[n-1][k-1] + C[n-1][k]) % mod; |
| 44 | + |
| 45 | + int K; cin >> K; |
| 46 | + vi f(26); |
| 47 | + F0R(i, 26) cin >> f[i]; |
| 48 | + |
| 49 | + V<vi> dp(27, vi(K+1)); |
| 50 | + dp[0][0] = 1; |
| 51 | + F0R(i, 26) F0R(j, K+1) F0R(k, min(j, f[i])+1) { |
| 52 | + dp[i+1][j] += dp[i][j-k] * C[j][k] % mod; |
| 53 | + dp[i+1][j] %= mod; |
| 54 | + } |
| 55 | + |
| 56 | + int ans = 0; |
| 57 | + FOR(j, 1, K+1) ans += dp[26][j], ans %= mod; |
| 58 | + cout << ans; |
| 59 | + |
| 60 | + timer(); |
| 61 | + return 0; |
| 62 | +} |
| 63 | + |
| 64 | +/* stuff you should look for |
| 65 | + ------------------------- |
| 66 | + * int overflow, array bounds |
| 67 | + * special cases (n=1?) |
| 68 | + * do smth instead of nothing and stay organized |
| 69 | + * WRITE STUFF DOWN |
| 70 | + * DON'T GET STUCK ON ONE APPROACH |
| 71 | +*/ |
0 commit comments