140 lines
2.7 KiB
C++
140 lines
2.7 KiB
C++
/* Problem URL: https://codeforces.com/contest/1000/problem/D */
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#include <bits/stdc++.h>
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#include <ext/pb_ds/assoc_container.hpp>
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#include <ext/pb_ds/tree_policy.hpp>
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using namespace std;
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using namespace __gnu_pbds;
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template <class T, class comp = less<>>
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using ordered_set = tree<T, null_type , comp , rb_tree_tag , tree_order_statistics_node_update>;
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#define V vector
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#define rmin(a, b) a = min(a, b)
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#define rmax(a, b) a = max(a, b)
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#define rep(i, lim) for (int i = 0; i < (lim); i++)
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#define nrep(i, s, lim) for (int i = s; i < (lim); i++)
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#define repv(i, v) for (auto &i : (v))
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#define fillv(v) for (auto &itr_ : (v)) { cin >> itr_; }
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#define sortv(v) sort(v.begin(), v.end())
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#define all(v) (v).begin(), (v).end()
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using vi = vector<int>;
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using vvi = vector<vi>;
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using vvvi = vector<vvi>;
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using vvvvi = vector<vvvi>;
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using ll = long long;
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using vl = vector<ll>;
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using vvl = vector<vl>;
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using vvvl = vector<vvl>;
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using vvvvl = vector<vvvl>;
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template<class v>
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auto operator<<(ostream &os, const vector<v> &vec)->ostream& {
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os << vec[0];
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for (size_t i = 1; i < vec.size(); i++) {
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os << ' ' << vec[i];
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}
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os << '\n';
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return os;
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}
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template<class v>
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auto operator>>(istream &is, vector<v> &vec)->istream& {
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for (auto &i : vec) {
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is >> i;
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}
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return is;
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}
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template<class v>
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auto operator<<(ostream &os, const vector<vector<v>> &vec)->ostream& {
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for (auto &i : vec) {
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os << i[0];
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for (size_t j = 1; j < i.size(); j++) {
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os << ' ' << i[j];
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}
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os << '\n';
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}
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return os;
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}
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template<class v>
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auto operator>>(istream &is, vector<vector<v>> &vec)->istream& {
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for (auto &i : vec) {
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for (auto &j : i) {
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is >> j;
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}
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}
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return is;
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}
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int main()
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{
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ios::sync_with_stdio(false);
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cin.tie(nullptr);
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int n;
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cin >> n;
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vl a(n);
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cin >> a;
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ll mod = 998244353;
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vvl comb(n, vl(n));
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comb[0][0] = 1;
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nrep(i, 1, n) {
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comb[i][0] = 1;
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comb[i][i] = 1;
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nrep(k, 1, n) {
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comb[i][k] = (comb[i - 1][k] + comb[i - 1][k - 1]) % mod;
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}
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}
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vl memo(n, -1);
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function<ll(int)> dp = [&](int i) -> ll {
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if (i >= n) {
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return 1;
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}
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ll &ans = memo[i];
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if (ans != -1) {
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return ans;
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}
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ans = 0;
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if (a[i] <= 0 || a[i] + i + 1 > n) {
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return 0;
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}
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ll now = 0;
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nrep(j, i + a[i] + 1, n + 1) {
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ans += dp(j) * comb[a[i] + now][a[i]];
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ans %= mod;
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now++;
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}
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return ans;
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};
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ll ans = 0;
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rep(i, n) {
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ans += dp(i);
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ans %= mod;
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}
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cout << ans << '\n';
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}
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