結果
問題 | No.2265 Xor Range Substring Sum Query |
ユーザー | tokusakurai |
提出日時 | 2023-06-03 13:51:12 |
言語 | C++17 (gcc 12.3.0 + boost 1.83.0) |
結果 |
AC
|
実行時間 | 4,386 ms / 5,000 ms |
コード長 | 8,621 bytes |
コンパイル時間 | 3,076 ms |
コンパイル使用メモリ | 226,256 KB |
実行使用メモリ | 26,200 KB |
最終ジャッジ日時 | 2024-06-09 03:32:13 |
合計ジャッジ時間 | 83,330 ms |
ジャッジサーバーID (参考情報) |
judge2 / judge3 |
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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
6,816 KB |
testcase_01 | AC | 1 ms
6,940 KB |
testcase_02 | AC | 2 ms
6,940 KB |
testcase_03 | AC | 2 ms
6,940 KB |
testcase_04 | AC | 3,961 ms
26,076 KB |
testcase_05 | AC | 4,059 ms
26,196 KB |
testcase_06 | AC | 3,927 ms
26,076 KB |
testcase_07 | AC | 4,107 ms
26,068 KB |
testcase_08 | AC | 4,005 ms
26,200 KB |
testcase_09 | AC | 4,346 ms
26,196 KB |
testcase_10 | AC | 4,285 ms
26,072 KB |
testcase_11 | AC | 4,337 ms
26,200 KB |
testcase_12 | AC | 4,358 ms
26,072 KB |
testcase_13 | AC | 4,213 ms
26,200 KB |
testcase_14 | AC | 4,194 ms
26,072 KB |
testcase_15 | AC | 4,334 ms
26,072 KB |
testcase_16 | AC | 4,374 ms
26,200 KB |
testcase_17 | AC | 4,386 ms
26,200 KB |
testcase_18 | AC | 4,025 ms
26,072 KB |
testcase_19 | AC | 3,593 ms
26,076 KB |
testcase_20 | AC | 4,310 ms
26,072 KB |
testcase_21 | AC | 4,219 ms
26,072 KB |
testcase_22 | AC | 1,422 ms
14,208 KB |
testcase_23 | AC | 1,393 ms
14,208 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 per(i, n) for (int i = (n)-1; i >= 0; i--) #define rep2(i, l, r) for (int i = (l); i < (r); i++) #define per2(i, l, r) for (int i = (r)-1; i >= (l); i--) #define each(e, v) for (auto &e : v) #define MM << " " << #define pb push_back #define eb emplace_back #define all(x) begin(x), end(x) #define rall(x) rbegin(x), rend(x) #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> using minheap = priority_queue<T, vector<T>, greater<T>>; template <typename T> using maxheap = priority_queue<T>; 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; } int pct(int x) { return __builtin_popcount(x); } int pct(ll x) { return __builtin_popcountll(x); } int topbit(int x) { return (x == 0 ? -1 : 31 - __builtin_clz(x)); } int topbit(ll x) { return (x == 0 ? -1 : 63 - __builtin_clzll(x)); } int botbit(int x) { return (x == 0 ? -1 : __builtin_ctz(x)); } int botbit(ll x) { return (x == 0 ? -1 : __builtin_ctzll(x)); } 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 T> void reorder(vector<T> &a, const vector<int> &ord) { int n = a.size(); vector<T> b(n); for (int i = 0; i < n; i++) b[i] = a[ord[i]]; swap(a, b); } template <typename T> T floor(T x, T y) { assert(y != 0); if (y < 0) x = -x, y = -y; return (x >= 0 ? x / y : (x - y + 1) / y); } template <typename T> T ceil(T x, T y) { assert(y != 0); if (y < 0) x = -x, y = -y; return (x >= 0 ? (x + y - 1) / y : x / y); } 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; constexpr int inf = (1 << 30) - 1; constexpr ll INF = (1LL << 60) - 1; // constexpr int MOD = 1000000007; constexpr 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>; void solve() { int N; string S; cin >> N >> S; int K = N / 2; vector<mint> p2((1 << N) + 1, 1), p11((1 << N) + 1, 1); rep(i, 1 << N) p2[i + 1] = p2[i] * 2; rep(i, 1 << N) p11[i + 1] = p11[i] * 11; vector<vector<mint>> seg(N + 1, vector<mint>(1 << N, 0)); auto f = [&](mint l, mint r, int dl, int dr) { return l * p11[dr] + r * p2[dl]; // }; auto get = [&](auto &&get, int d, int i, int x) -> mint { if (d >= K) return seg[d][(i << (N - d)) + x]; int l = 2 * i, r = 2 * i + 1; int y = flg(x, N - d - 1); int z = x & ~(1 << (N - d - 1)); mint a = get(get, d + 1, l, z), b = get(get, d + 1, r, z); if (y) swap(a, b); return f(a, b, 1 << (N - d - 1), 1 << (N - d - 1)); }; // O(1) for d >= K auto recalc = [&](int d, int i, int x) { int l = 2 * i, r = 2 * i + 1; int y = flg(x, N - d - 1); int z = x & ~(1 << (N - d - 1)); mint a = get(get, d + 1, l, z), b = get(get, d + 1, r, z); if (y) swap(a, b); seg[d][(i << (N - d)) + x] = f(a, b, 1 << (N - d - 1), 1 << (N - d - 1)); }; // O(sqrt(N)) auto update = [&](int i, mint c) { seg[N][i] = c; per2(d, K, N) { i /= 2; rep(x, 1 << (N - d)) recalc(d, i, x); } }; // O(sqrt(N)) auto query = [&](auto &&query, int d, int i, int L, int R, int l, int r, int x) -> mint { chmax(l, L), chmin(r, R); if (l >= r) return 0; if (l == L && r == R) return get(get, d, i, x); int M = (L + R) / 2; int y = flg(x, N - d - 1); int z = x & ~(1 << (N - d - 1)); mint vl, vr; int step = (1 << (N - d - 1)); if (y == 0) { vl = query(query, d + 1, 2 * i, L, M, l, r, z); vr = query(query, d + 1, 2 * i + 1, M, R, l, r, z); } else { vl = query(query, d + 1, 2 * i + 1, M, R, l + step, r + step, z); vr = query(query, d + 1, 2 * i, L, M, l - step, r - step, z); } int dl = max(0, min(M, r) - l), dr = max(0, r - max(l, M)); mint ret = f(vl, vr, dl, dr); return ret; }; rep(i, 1 << N) { int c = S[i] - '0'; seg[N][i] = c; } per(d, N) { rep(i, 1 << d) rep(x, 1 << (N - d)) { recalc(d, i, x); // } } int Q; cin >> Q; while (Q--) { int t; cin >> t; if (t == 1) { int x; mint y; cin >> x >> y; update(x, y); } else { int l, r, x; cin >> l >> r >> x; r++; cout << query(query, 0, 0, 0, 1 << N, l, r, x) << '\n'; } } } int main() { int T = 1; // cin >> T; while (T--) solve(); }