結果
問題 | No.2792 Security Cameras on Young Diagram |
ユーザー |
![]() |
提出日時 | 2024-06-21 21:35:59 |
言語 | C++17(gcc12) (gcc 12.3.0 + boost 1.87.0) |
結果 |
AC
|
実行時間 | 29 ms / 2,000 ms |
コード長 | 19,526 bytes |
コンパイル時間 | 2,443 ms |
コンパイル使用メモリ | 209,724 KB |
実行使用メモリ | 12,572 KB |
最終ジャッジ日時 | 2024-06-24 18:44:16 |
合計ジャッジ時間 | 3,641 ms |
ジャッジサーバーID (参考情報) |
judge1 / judge4 |
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ファイルパターン | 結果 |
---|---|
sample | AC * 3 |
other | AC * 21 |
ソースコード
/*#pragma GCC target("avx2")#pragma GCC optimize("O3")#pragma GCC optimize("unroll-loops")//*/// #include <atcoder/all>#include <bits/stdc++.h>using namespace std;// using namespace atcoder;// #define _GLIBCXX_DEBUG#define DEBUG(x) cerr << #x << ": " << x << endl;#define DEBUG_VEC(v) \cerr << #v << ":"; \for (int iiiiiiii = 0; iiiiiiii < v.size(); iiiiiiii++) \cerr << " " << v[iiiiiiii]; \cerr << endl;#define DEBUG_MAT(v) \cerr << #v << endl; \for (int iv = 0; iv < v.size(); iv++) { \for (int jv = 0; jv < v[iv].size(); jv++) { \cerr << v[iv][jv] << " "; \} \cerr << endl; \}typedef long long ll;// #define int ll#define vi vector<int>#define vl vector<ll>#define vii vector<vector<int>>#define vll vector<vector<ll>>#define pii pair<int, int>#define pis pair<int, string>#define psi pair<string, int>#define pll pair<ll, ll>template <class S, class T>pair<S, T> operator+(const pair<S, T> &s, const pair<S, T> &t) {return pair<S, T>(s.first + t.first, s.second + t.second);}template <class S, class T>pair<S, T> operator-(const pair<S, T> &s, const pair<S, T> &t) { return pair<S, T>(s.first - t.first, s.second - t.second); }template <class S, class T>ostream &operator<<(ostream &os, pair<S, T> p) {os << "(" << p.first << ", " << p.second << ")";return os;}#define rep(i, n) for (int i = 0; i < (int)(n); i++)#define rep1(i, n) for (int i = 1; i <= (int)(n); i++)#define rrep(i, n) for (int i = (int)(n) - 1; i >= 0; i--)#define rrep1(i, n) for (int i = (int)(n); i > 0; i--)#define REP(i, a, b) for (int i = a; i < b; i++)#define in(x, a, b) (a <= x && x < b)#define all(c) c.begin(), c.end()void YES(bool t = true) {cout << (t ? "YES" : "NO") << endl;}void Yes(bool t = true) { cout << (t ? "Yes" : "No") << endl; }void yes(bool t = true) { cout << (t ? "yes" : "no") << endl; }void NO(bool t = true) { cout << (t ? "NO" : "YES") << endl; }void No(bool t = true) { cout << (t ? "No" : "Yes") << endl; }void no(bool t = true) { cout << (t ? "no" : "yes") << endl; }template <class T>bool chmax(T &a, const T &b) {if (a < b) {a = b;return 1;}return 0;}template <class T>bool chmin(T &a, const T &b) {if (a > b) {a = b;return 1;}return 0;}template <class T>T ceil_div(T a, T b) {return (a + b - 1) / b;}#define UNIQUE(v) v.erase(std::unique(v.begin(), v.end()), v.end());const ll inf = 1000000001;const ll INF = (ll)1e18 + 1;const long double pi = 3.1415926535897932384626433832795028841971L;int popcount(ll t) { return __builtin_popcountll(t); }vector<int> gen_perm(int n) {vector<int> ret(n);iota(all(ret), 0);return ret;}// int dx[4] = {1, 0, -1, 0}, dy[4] = {0, 1, 0, -1};// int dx2[8] = { 1,1,0,-1,-1,-1,0,1 }, dy2[8] = { 0,1,1,1,0,-1,-1,-1 };vi dx = {0, 0, -1, 1}, dy = {-1, 1, 0, 0};vi dx2 = {1, 1, 0, -1, -1, -1, 0, 1}, dy2 = {0, 1, 1, 1, 0, -1, -1, -1};struct Setup_io {Setup_io() {ios_base::sync_with_stdio(0), cin.tie(0), cout.tie(0);cout << fixed << setprecision(25);cerr << fixed << setprecision(25);}} setup_io;// constexpr ll MOD = 1000000007;constexpr ll MOD = 998244353;// #define mp make_pair#include <cassert>#include <numeric>#include <type_traits>#ifdef _MSC_VER#include <intrin.h>#endif#include <utility>#ifdef _MSC_VER#include <intrin.h>#endifnamespace atcoder {namespace internal {constexpr long long safe_mod(long long x, long long m) {x %= m;if (x < 0) x += m;return x;}struct barrett {unsigned int _m;unsigned long long im;explicit barrett(unsigned int m) : _m(m), im((unsigned long long)(-1) / m + 1) {}unsigned int umod() const { return _m; }unsigned int mul(unsigned int a, unsigned int b) const {unsigned long long z = a;z *= b;#ifdef _MSC_VERunsigned long long x;_umul128(z, im, &x);#elseunsigned long long x =(unsigned long long)(((unsigned __int128)(z)*im) >> 64);#endifunsigned int v = (unsigned int)(z - x * _m);if (_m <= v) v += _m;return v;}};constexpr long long pow_mod_constexpr(long long x, long long n, int m) {if (m == 1) return 0;unsigned int _m = (unsigned int)(m);unsigned long long r = 1;unsigned long long y = safe_mod(x, m);while (n) {if (n & 1) r = (r * y) % _m;y = (y * y) % _m;n >>= 1;}return r;}constexpr bool is_prime_constexpr(int n) {if (n <= 1) return false;if (n == 2 || n == 7 || n == 61) return true;if (n % 2 == 0) return false;long long d = n - 1;while (d % 2 == 0)d /= 2;constexpr long long bases[3] = {2, 7, 61};for (long long a : bases) {long long t = d;long long y = pow_mod_constexpr(a, t, n);while (t != n - 1 && y != 1 && y != n - 1) {y = y * y % n;t <<= 1;}if (y != n - 1 && t % 2 == 0) {return false;}}return true;}template <int n>constexpr bool is_prime = is_prime_constexpr(n);constexpr std::pair<long long, long long> inv_gcd(long long a, long long b) {a = safe_mod(a, b);if (a == 0) return {b, 0};long long s = b, t = a;long long m0 = 0, m1 = 1;while (t) {long long u = s / t;s -= t * u;m0 -= m1 * u; // |m1 * u| <= |m1| * s <= bauto tmp = s;s = t;t = tmp;tmp = m0;m0 = m1;m1 = tmp;}if (m0 < 0) m0 += b / s;return {s, m0};}constexpr int primitive_root_constexpr(int m) {if (m == 2) return 1;if (m == 167772161) return 3;if (m == 469762049) return 3;if (m == 754974721) return 11;if (m == 998244353) return 3;int divs[20] = {};divs[0] = 2;int cnt = 1;int x = (m - 1) / 2;while (x % 2 == 0)x /= 2;for (int i = 3; (long long)(i)*i <= x; i += 2) {if (x % i == 0) {divs[cnt++] = i;while (x % i == 0) {x /= i;}}}if (x > 1) {divs[cnt++] = x;}for (int g = 2;; g++) {bool ok = true;for (int i = 0; i < cnt; i++) {if (pow_mod_constexpr(g, (m - 1) / divs[i], m) == 1) {ok = false;break;}}if (ok) return g;}}template <int m>constexpr int primitive_root = primitive_root_constexpr(m);unsigned long long floor_sum_unsigned(unsigned long long n,unsigned long long m,unsigned long long a,unsigned long long b) {unsigned long long ans = 0;while (true) {if (a >= m) {ans += n * (n - 1) / 2 * (a / m);a %= m;}if (b >= m) {ans += n * (b / m);b %= m;}unsigned long long y_max = a * n + b;if (y_max < m) break;n = (unsigned long long)(y_max / m);b = (unsigned long long)(y_max % m);std::swap(m, a);}return ans;}} // namespace internal} // namespace atcoder#include <cassert>#include <numeric>#include <type_traits>namespace atcoder {namespace internal {#ifndef _MSC_VERtemplate <class T>using is_signed_int128 =typename std::conditional<std::is_same<T, __int128_t>::value ||std::is_same<T, __int128>::value,std::true_type,std::false_type>::type;template <class T>using is_unsigned_int128 =typename std::conditional<std::is_same<T, __uint128_t>::value ||std::is_same<T, unsigned __int128>::value,std::true_type,std::false_type>::type;template <class T>using make_unsigned_int128 =typename std::conditional<std::is_same<T, __int128_t>::value,__uint128_t,unsigned __int128>;template <class T>using is_integral = typename std::conditional<std::is_integral<T>::value ||is_signed_int128<T>::value ||is_unsigned_int128<T>::value,std::true_type,std::false_type>::type;template <class T>using is_signed_int = typename std::conditional<(is_integral<T>::value &&std::is_signed<T>::value) ||is_signed_int128<T>::value,std::true_type,std::false_type>::type;template <class T>using is_unsigned_int =typename std::conditional<(is_integral<T>::value &&std::is_unsigned<T>::value) ||is_unsigned_int128<T>::value,std::true_type,std::false_type>::type;template <class T>using to_unsigned = typename std::conditional<is_signed_int128<T>::value,make_unsigned_int128<T>,typename std::conditional<std::is_signed<T>::value,std::make_unsigned<T>,std::common_type<T>>::type>::type;#elsetemplate <class T>using is_integral = typename std::is_integral<T>;template <class T>using is_signed_int =typename std::conditional<is_integral<T>::value && std::is_signed<T>::value,std::true_type,std::false_type>::type;template <class T>using is_unsigned_int =typename std::conditional<is_integral<T>::value &&std::is_unsigned<T>::value,std::true_type,std::false_type>::type;template <class T>using to_unsigned = typename std::conditional<is_signed_int<T>::value,std::make_unsigned<T>,std::common_type<T>>::type;#endiftemplate <class T>using is_signed_int_t = std::enable_if_t<is_signed_int<T>::value>;template <class T>using is_unsigned_int_t = std::enable_if_t<is_unsigned_int<T>::value>;template <class T>using to_unsigned_t = typename to_unsigned<T>::type;} // namespace internal} // namespace atcodernamespace atcoder {namespace internal {struct modint_base {};struct static_modint_base : modint_base {};template <class T>using is_modint = std::is_base_of<modint_base, T>;template <class T>using is_modint_t = std::enable_if_t<is_modint<T>::value>;} // namespace internaltemplate <int m, std::enable_if_t<(1 <= m)> * = nullptr>struct static_modint : internal::static_modint_base {using mint = static_modint;public:static constexpr int mod() { return m; }static mint raw(int v) {mint x;x._v = v;return x;}static_modint() : _v(0) {}template <class T, internal::is_signed_int_t<T> * = nullptr>static_modint(T v) {long long x = (long long)(v % (long long)(umod()));if (x < 0) x += umod();_v = (unsigned int)(x);}template <class T, internal::is_unsigned_int_t<T> * = nullptr>static_modint(T v) {_v = (unsigned int)(v % umod());}unsigned int val() const { return _v; }mint &operator++() {_v++;if (_v == umod()) _v = 0;return *this;}mint &operator--() {if (_v == 0) _v = umod();_v--;return *this;}mint operator++(int) {mint result = *this;++*this;return result;}mint operator--(int) {mint result = *this;--*this;return result;}mint &operator+=(const mint &rhs) {_v += rhs._v;if (_v >= umod()) _v -= umod();return *this;}mint &operator-=(const mint &rhs) {_v -= rhs._v;if (_v >= umod()) _v += umod();return *this;}mint &operator*=(const mint &rhs) {unsigned long long z = _v;z *= rhs._v;_v = (unsigned int)(z % umod());return *this;}mint &operator/=(const mint &rhs) { return *this = *this * rhs.inv(); }mint operator+() const { return *this; }mint operator-() const { return mint() - *this; }mint pow(long long n) const {assert(0 <= n);mint x = *this, r = 1;while (n) {if (n & 1) r *= x;x *= x;n >>= 1;}return r;}mint inv() const {if (prime) {assert(_v);return pow(umod() - 2);} else {auto eg = internal::inv_gcd(_v, m);assert(eg.first == 1);return eg.second;}}friend mint operator+(const mint &lhs, const mint &rhs) {return mint(lhs) += rhs;}friend mint operator-(const mint &lhs, const mint &rhs) {return mint(lhs) -= rhs;}friend mint operator*(const mint &lhs, const mint &rhs) {return mint(lhs) *= rhs;}friend mint operator/(const mint &lhs, const mint &rhs) {return mint(lhs) /= rhs;}friend bool operator==(const mint &lhs, const mint &rhs) {return lhs._v == rhs._v;}friend bool operator!=(const mint &lhs, const mint &rhs) {return lhs._v != rhs._v;}friend ostream &operator<<(ostream &os, const mint &p) { return os << p.val(); }private:unsigned int _v;static constexpr unsigned int umod() { return m; }static constexpr bool prime = internal::is_prime<m>;};template <int id>struct dynamic_modint : internal::modint_base {using mint = dynamic_modint;public:static int mod() { return (int)(bt.umod()); }static void set_mod(int m) {assert(1 <= m);bt = internal::barrett(m);}static mint raw(int v) {mint x;x._v = v;return x;}dynamic_modint() : _v(0) {}template <class T, internal::is_signed_int_t<T> * = nullptr>dynamic_modint(T v) {long long x = (long long)(v % (long long)(mod()));if (x < 0) x += mod();_v = (unsigned int)(x);}template <class T, internal::is_unsigned_int_t<T> * = nullptr>dynamic_modint(T v) {_v = (unsigned int)(v % mod());}unsigned int val() const { return _v; }mint &operator++() {_v++;if (_v == umod()) _v = 0;return *this;}mint &operator--() {if (_v == 0) _v = umod();_v--;return *this;}mint operator++(int) {mint result = *this;++*this;return result;}mint operator--(int) {mint result = *this;--*this;return result;}mint &operator+=(const mint &rhs) {_v += rhs._v;if (_v >= umod()) _v -= umod();return *this;}mint &operator-=(const mint &rhs) {_v += mod() - rhs._v;if (_v >= umod()) _v -= umod();return *this;}mint &operator*=(const mint &rhs) {_v = bt.mul(_v, rhs._v);return *this;}mint &operator/=(const mint &rhs) { return *this = *this * rhs.inv(); }mint operator+() const { return *this; }mint operator-() const { return mint() - *this; }mint pow(long long n) const {assert(0 <= n);mint x = *this, r = 1;while (n) {if (n & 1) r *= x;x *= x;n >>= 1;}return r;}mint inv() const {auto eg = internal::inv_gcd(_v, mod());assert(eg.first == 1);return eg.second;}friend mint operator+(const mint &lhs, const mint &rhs) {return mint(lhs) += rhs;}friend mint operator-(const mint &lhs, const mint &rhs) {return mint(lhs) -= rhs;}friend mint operator*(const mint &lhs, const mint &rhs) {return mint(lhs) *= rhs;}friend mint operator/(const mint &lhs, const mint &rhs) {return mint(lhs) /= rhs;}friend bool operator==(const mint &lhs, const mint &rhs) {return lhs._v == rhs._v;}friend bool operator!=(const mint &lhs, const mint &rhs) {return lhs._v != rhs._v;}friend ostream &operator<<(ostream &os, const mint &p) { return os << p.val(); }private:unsigned int _v;static internal::barrett bt;static unsigned int umod() { return bt.umod(); }};template <int id>internal::barrett dynamic_modint<id>::bt(998244353);using modint998244353 = static_modint<998244353>;using modint1000000007 = static_modint<1000000007>;using modint = dynamic_modint<-1>;namespace internal {template <class T>using is_static_modint = std::is_base_of<internal::static_modint_base, T>;template <class T>using is_static_modint_t = std::enable_if_t<is_static_modint<T>::value>;template <class>struct is_dynamic_modint : public std::false_type {};template <int id>struct is_dynamic_modint<dynamic_modint<id>> : public std::true_type {};template <class T>using is_dynamic_modint_t = std::enable_if_t<is_dynamic_modint<T>::value>;} // namespace internal} // namespace atcoderusing namespace atcoder;using mint = modint998244353;const int MAXN = 555555;vl fact(MAXN);vl rfact(MAXN);ll mod_pow(ll x, ll p, ll M = MOD) {if (p < 0) {x = mod_pow(x, M - 2, M);p = -p;}x %= M;ll a = 1;while (p) {if (p % 2)a = a * x % M;x = x * x % M;p /= 2;}return a;}ll mod_inverse(ll a, ll M = MOD) {return mod_pow(a, M - 2, M);}void set_fact(ll n, ll M = MOD) {fact[0] = 1;for (ll i = 1; i <= n; i++) {fact[i] = i * fact[i - 1] % M;}rfact[n] = mod_inverse(fact[n], M);for (ll i = n - 1; i >= 0; i--) {rfact[i] = (i + 1) * rfact[i + 1] % M;}}// http://drken1215.hatenablog.com/entry/2018/06/08/210000ll nCr(ll n, ll r, ll M = MOD) {if (r > n) return 0;assert(fact[2] == 2);ll ret = fact[n];if (rfact[r] == 0) {rfact[r] = mod_inverse(fact[r], M);}ret = (ret * rfact[r]) % M;if (rfact[n - r] == 0) {rfact[n - r] = mod_inverse(fact[n - r], M);}ret = (ret * rfact[n - r]) % M;return ret;}ll nHr(ll n, ll r) {return nCr(n + r - 1, r);}signed main() {int n;cin >> n;vi a(n);rep(i, n) {cin >> a[i];}a.push_back(0);set_fact(211111);mint ans = 0;for (int i = 0; i < n; i++) {for (int x = a[i] - 1; x >= a[i + 1]; x--) {ans += nCr(i + x, i);}ans += nCr(i + a[i] - 1, i);}cout << ans << endl;}