結果
問題 | No.1555 Constructed Balancing Sequence |
ユーザー | tokusakurai |
提出日時 | 2022-08-04 21:16:13 |
言語 | C++17 (gcc 12.3.0 + boost 1.83.0) |
結果 |
AC
|
実行時間 | 48 ms / 2,000 ms |
コード長 | 7,855 bytes |
コンパイル時間 | 2,402 ms |
コンパイル使用メモリ | 212,128 KB |
実行使用メモリ | 5,376 KB |
最終ジャッジ日時 | 2024-09-14 17:49:12 |
合計ジャッジ時間 | 6,108 ms |
ジャッジサーバーID (参考情報) |
judge3 / judge2 |
(要ログイン)
テストケース
テストケース表示入力 | 結果 | 実行時間 実行使用メモリ |
---|---|---|
testcase_00 | AC | 2 ms
5,248 KB |
testcase_01 | AC | 2 ms
5,376 KB |
testcase_02 | AC | 2 ms
5,376 KB |
testcase_03 | AC | 2 ms
5,376 KB |
testcase_04 | AC | 2 ms
5,376 KB |
testcase_05 | AC | 2 ms
5,376 KB |
testcase_06 | AC | 2 ms
5,376 KB |
testcase_07 | AC | 2 ms
5,376 KB |
testcase_08 | AC | 2 ms
5,376 KB |
testcase_09 | AC | 2 ms
5,376 KB |
testcase_10 | AC | 2 ms
5,376 KB |
testcase_11 | AC | 2 ms
5,376 KB |
testcase_12 | AC | 24 ms
5,376 KB |
testcase_13 | AC | 22 ms
5,376 KB |
testcase_14 | AC | 26 ms
5,376 KB |
testcase_15 | AC | 45 ms
5,376 KB |
testcase_16 | AC | 24 ms
5,376 KB |
testcase_17 | AC | 2 ms
5,376 KB |
testcase_18 | AC | 47 ms
5,376 KB |
testcase_19 | AC | 48 ms
5,376 KB |
testcase_20 | AC | 47 ms
5,376 KB |
testcase_21 | AC | 48 ms
5,376 KB |
testcase_22 | AC | 48 ms
5,376 KB |
testcase_23 | AC | 48 ms
5,376 KB |
testcase_24 | AC | 47 ms
5,376 KB |
testcase_25 | AC | 48 ms
5,376 KB |
testcase_26 | AC | 48 ms
5,376 KB |
testcase_27 | AC | 48 ms
5,376 KB |
testcase_28 | AC | 33 ms
5,376 KB |
testcase_29 | AC | 44 ms
5,376 KB |
testcase_30 | AC | 43 ms
5,376 KB |
testcase_31 | AC | 27 ms
5,376 KB |
testcase_32 | AC | 44 ms
5,376 KB |
testcase_33 | AC | 43 ms
5,376 KB |
testcase_34 | AC | 26 ms
5,376 KB |
testcase_35 | AC | 29 ms
5,376 KB |
testcase_36 | AC | 32 ms
5,376 KB |
testcase_37 | AC | 36 ms
5,376 KB |
testcase_38 | AC | 2 ms
5,376 KB |
testcase_39 | AC | 2 ms
5,376 KB |
testcase_40 | AC | 2 ms
5,376 KB |
testcase_41 | AC | 2 ms
5,376 KB |
testcase_42 | AC | 2 ms
5,376 KB |
testcase_43 | AC | 46 ms
5,376 KB |
ソースコード
#include <bits/stdc++.h> using namespace std; #define rep(i, n) for (int i = 0; i < n; i++) #define rep2(i, x, n) for (int i = x; i <= n; i++) #define rep3(i, x, n) for (int i = x; i >= n; i--) #define each(e, v) for (auto &e : v) #define pb push_back #define eb emplace_back #define all(x) x.begin(), x.end() #define rall(x) x.rbegin(), x.rend() #define sz(x) (int)x.size() using ll = long long; using pii = pair<int, int>; using pil = pair<int, ll>; using pli = pair<ll, int>; using pll = pair<ll, ll>; template <typename T> bool chmax(T &x, const T &y) { return (x < y) ? (x = y, true) : false; } template <typename T> bool chmin(T &x, const T &y) { return (x > y) ? (x = y, true) : false; } template <typename T> int flg(T x, int i) { return (x >> i) & 1; } template <typename T> void print(const vector<T> &v, T x = 0) { int n = v.size(); for (int i = 0; i < n; i++) cout << v[i] + x << (i == n - 1 ? '\n' : ' '); if (v.empty()) cout << '\n'; } template <typename T> void printn(const vector<T> &v, T x = 0) { int n = v.size(); for (int i = 0; i < n; i++) cout << v[i] + x << '\n'; } template <typename T> int lb(const vector<T> &v, T x) { return lower_bound(begin(v), end(v), x) - begin(v); } template <typename T> int ub(const vector<T> &v, T x) { return upper_bound(begin(v), end(v), x) - begin(v); } template <typename T> void rearrange(vector<T> &v) { sort(begin(v), end(v)); v.erase(unique(begin(v), end(v)), end(v)); } template <typename T> vector<int> id_sort(const vector<T> &v, bool greater = false) { int n = v.size(); vector<int> ret(n); iota(begin(ret), end(ret), 0); sort(begin(ret), end(ret), [&](int i, int j) { return greater ? v[i] > v[j] : v[i] < v[j]; }); return ret; } template <typename S, typename T> pair<S, T> operator+(const pair<S, T> &p, const pair<S, T> &q) { return make_pair(p.first + q.first, p.second + q.second); } template <typename S, typename T> pair<S, T> operator-(const pair<S, T> &p, const pair<S, T> &q) { return make_pair(p.first - q.first, p.second - q.second); } template <typename S, typename T> istream &operator>>(istream &is, pair<S, T> &p) { S a; T b; is >> a >> b; p = make_pair(a, b); return is; } template <typename S, typename T> ostream &operator<<(ostream &os, const pair<S, T> &p) { return os << p.first << ' ' << p.second; } struct io_setup { io_setup() { ios_base::sync_with_stdio(false); cin.tie(NULL); cout << fixed << setprecision(15); } } io_setup; const int inf = (1 << 30) - 1; const ll INF = (1LL << 60) - 1; // const int MOD = 1000000007; const int MOD = 998244353; template <int mod> struct Mod_Int { int x; Mod_Int() : x(0) {} Mod_Int(long long y) : x(y >= 0 ? y % mod : (mod - (-y) % mod) % mod) {} static int get_mod() { return mod; } Mod_Int &operator+=(const Mod_Int &p) { if ((x += p.x) >= mod) x -= mod; return *this; } Mod_Int &operator-=(const Mod_Int &p) { if ((x += mod - p.x) >= mod) x -= mod; return *this; } Mod_Int &operator*=(const Mod_Int &p) { x = (int)(1LL * x * p.x % mod); return *this; } Mod_Int &operator/=(const Mod_Int &p) { *this *= p.inverse(); return *this; } Mod_Int &operator++() { return *this += Mod_Int(1); } Mod_Int operator++(int) { Mod_Int tmp = *this; ++*this; return tmp; } Mod_Int &operator--() { return *this -= Mod_Int(1); } Mod_Int operator--(int) { Mod_Int tmp = *this; --*this; return tmp; } Mod_Int operator-() const { return Mod_Int(-x); } Mod_Int operator+(const Mod_Int &p) const { return Mod_Int(*this) += p; } Mod_Int operator-(const Mod_Int &p) const { return Mod_Int(*this) -= p; } Mod_Int operator*(const Mod_Int &p) const { return Mod_Int(*this) *= p; } Mod_Int operator/(const Mod_Int &p) const { return Mod_Int(*this) /= p; } bool operator==(const Mod_Int &p) const { return x == p.x; } bool operator!=(const Mod_Int &p) const { return x != p.x; } Mod_Int inverse() const { assert(*this != Mod_Int(0)); return pow(mod - 2); } Mod_Int pow(long long k) const { Mod_Int now = *this, ret = 1; for (; k > 0; k >>= 1, now *= now) { if (k & 1) ret *= now; } return ret; } friend ostream &operator<<(ostream &os, const Mod_Int &p) { return os << p.x; } friend istream &operator>>(istream &is, Mod_Int &p) { long long a; is >> a; p = Mod_Int<mod>(a); return is; } }; using mint = Mod_Int<MOD>; int main() { ll N, K; cin >> N >> K; vector<ll> a(N); rep(i, N) cin >> a[i]; vector<ll> s = a; rep2(i, 1, N - 1) s[i] += s[i - 1]; // print(s); int M = 20; vector<vector<mint>> dp(M, vector<mint>(2, 0)), ndp(M, vector<mint>(2, 0)); dp[0][0] = 1; rep(i, N) { rep(j, M) rep(k, 2) ndp[j][k] = 0; rep(j, M) { rep(k, 2) { if (dp[j][k] == 0) continue; ll x = -INF; if (j > 0) x = (s[i - j] - 1) << (j - 1); // b[i] = a[i] { int nj = (j == 0 ? 0 : j + 1), nk = k; if (a[i] > x) nj = 0; if (a[i] > 0) nk = 0; if (nj < M) ndp[nj][nk] += dp[j][k]; } // b[i] < a[i] { if (x >= 0) { if (a[i] - 1 > x) { ll l = x + 1, r = a[i] - 1; int nj = 1, nk = 0; if (s[i] - 1 == 0) nk = 1; ndp[nj][nk] += dp[j][k] * max(r - l + 1, 0LL); } if (x > 0) { ll l = 1, r = min(x, a[i] - 1); int nj = j + 1, nk = 0; if (s[i] - 1 >= 2 * x) nj = 1; if (s[i] - 1 == 0) nk = 1; if (nj < M) ndp[nj][nk] += dp[j][k] * max(r - l + 1, 0LL); } { ll l = -K, r = min(0LL, a[i] - 1); int nj = j + 1, nk = k; if (s[i] - 1 >= 2 * x) nj = 1; if (s[i] - 1 == 0) nk = 1; if (nj < M) ndp[nj][nk] += dp[j][k] * max(r - l + 1, 0LL); } } else { if (a[i] - 1 > 0) { ll l = 1, r = a[i] - 1; int nj = 1, nk = 0; if (s[i] - 1 == 0) nk = 1; ndp[nj][nk] += dp[j][k] * max(r - l + 1, 0LL); } if (x < 0) { ll l = max(-K, x + 1), r = min(0LL, a[i] - 1); int nj = 1, nk = k; if (s[i] - 1 == 0) nk = 1; ndp[nj][nk] += dp[j][k] * max(r - l + 1, 0LL); } if (x >= -K) { ll l = -K, r = min(x, a[i] - 1); int nj = j + 1, nk = k; if (s[i] - 1 >= 2 * x) nj = 1; if (s[i] - 1 == 0) nk = 1; if (nj < M) ndp[nj][nk] += dp[j][k] * max(r - l + 1, 0LL); } } } } } swap(dp, ndp); // cout << i << '\n'; // rep(i, N) print(dp[i]); } cout << dp[0][0] << '\n'; }