P3710 方方方的数据结构 [KD-Tree]

这题似乎就 KD-Tree 板子。

矩形加法，矩形乘法，QAQ。

都是离线下来按顺序添加的，所以没有什么关系。

// powered by c++11
// by Isaunoya
#include <bits/stdc++.h>

#define rep(i, x, y) for (register int i = (x); i <= (y); ++i)
#define Rep(i, x, y) for (register int i = (x); i >= (y); --i)

using namespace std;
using db = double;
using ll = long long;
using uint = unsigned int;
using ull = unsigned long long;

using pii = pair<int, int>;

#define fir first
#define sec second

template <class T>

void cmax(T& x, const T& y) {
  if (x < y) x = y;
}

template <class T>

void cmin(T& x, const T& y) {
  if (x > y) x = y;
}

#define all(v) v.begin(), v.end()
#define sz(v) ((int)v.size())
#define pb emplace_back

template <class T>

void sort(vector<T>& v) {
  sort(all(v));
}

template <class T>

void reverse(vector<T>& v) {
  reverse(all(v));
}

template <class T>

void unique(vector<T>& v) {
  sort(all(v)), v.erase(unique(all(v)), v.end());
}

void reverse(string& s) { reverse(s.begin(), s.end()); }

const int io_size = 1 << 23 | 233;
const int io_limit = 1 << 22;
struct io_in {
  char ch;
#ifndef __WIN64
  char getchar() {
    static char buf[io_size], *p1 = buf, *p2 = buf;

    return (p1 == p2) && (p2 = (p1 = buf) + fread(buf, 1, io_size, stdin), p1 == p2) ? EOF : *p1++;
  }
#endif
  io_in& operator>>(char& c) {
    for (c = getchar(); isspace(c); c = getchar())
      ;

    return *this;
  }
  io_in& operator>>(string& s) {
    for (s.clear(); isspace(ch = getchar());)
      ;

    if (!~ch) return *this;

    for (s = ch; !isspace(ch = getchar()) && ~ch; s += ch)
      ;

    return *this;
  }

  io_in& operator>>(char* str) {
    char* cur = str;
    while (*cur) *cur++ = 0;

    for (cur = str; isspace(ch = getchar());)
      ;
    if (!~ch) return *this;

    for (*cur = ch; !isspace(ch = getchar()) && ~ch; *++cur = ch)
      ;

    return *++cur = 0, *this;
  }

  template <class T>

  void read(T& x) {
    bool f = 0;
    while ((ch = getchar()) < 48 && ~ch) f ^= (ch == 45);

    x = ~ch ? (ch ^ 48) : 0;
    while ((ch = getchar()) > 47) x = x * 10 + (ch ^ 48);
    x = f ? -x : x;
  }

  io_in& operator>>(int& x) { return read(x), *this; }

  io_in& operator>>(ll& x) { return read(x), *this; }

  io_in& operator>>(uint& x) { return read(x), *this; }

  io_in& operator>>(ull& x) { return read(x), *this; }

  io_in& operator>>(db& x) {
    read(x);
    bool f = x < 0;
    x = f ? -x : x;
    if (ch ^ '.') return *this;

    double d = 0.1;
    while ((ch = getchar()) > 47) x += d * (ch ^ 48), d *= .1;
    return x = f ? -x : x, *this;
  }
} in;

struct io_out {
  char buf[io_size], *s = buf;
  int pw[233], st[233];

  io_out() {
    set(7);
    rep(i, pw[0] = 1, 9) pw[i] = pw[i - 1] * 10;
  }

  ~io_out() { flush(); }

  void io_chk() {
    if (s - buf > io_limit) flush();
  }

  void flush() { fwrite(buf, 1, s - buf, stdout), fflush(stdout), s = buf; }

  io_out& operator<<(char c) { return *s++ = c, *this; }

  io_out& operator<<(string str) {
    for (char c : str) *s++ = c;
    return io_chk(), *this;
  }

  io_out& operator<<(char* str) {
    char* cur = str;
    while (*cur) *s++ = *cur++;
    return io_chk(), *this;
  }

  template <class T>

  void write(T x) {
    if (x < 0) *s++ = '-', x = -x;

    do {
      st[++st[0]] = x % 10, x /= 10;
    } while (x);

    while (st[0]) *s++ = st[st[0]--] ^ 48;
  }

  io_out& operator<<(int x) { return write(x), io_chk(), *this; }

  io_out& operator<<(ll x) { return write(x), io_chk(), *this; }

  io_out& operator<<(uint x) { return write(x), io_chk(), *this; }

  io_out& operator<<(ull x) { return write(x), io_chk(), *this; }

  int len, lft, rig;

  void set(int _length) { len = _length; }

  io_out& operator<<(db x) {
    bool f = x < 0;
    x = f ? -x : x, lft = x, rig = 1. * (x - lft) * pw[len];
    return write(f ? -lft : lft), *s++ = '.', write(rig), io_chk(), *this;
  }
} out;
#define int long long

template <int sz, int mod>

struct math_t {
  math_t() {
    fac.resize(sz + 1), ifac.resize(sz + 1);
    rep(i, fac[0] = 1, sz) fac[i] = fac[i - 1] * i % mod;

    ifac[sz] = inv(fac[sz]);
    Rep(i, sz - 1, 0) ifac[i] = ifac[i + 1] * (i + 1) % mod;
  }

  vector<int> fac, ifac;

  int qpow(int x, int y) {
    int ans = 1;
    for (; y; y >>= 1, x = x * x % mod)
      if (y & 1) ans = ans * x % mod;
    return ans;
  }

  int inv(int x) { return qpow(x, mod - 2); }

  int C(int n, int m) {
    if (n < 0 || m < 0 || n < m) return 0;
    return fac[n] * ifac[m] % mod * ifac[n - m] % mod;
  }
};

int gcd(int x, int y) { return !y ? x : gcd(y, x % y); }
int lcm(int x, int y) { return x * y / gcd(x, y); }

const int maxn = 2e5 + 52;
const int mod = 998244353;

int inc(int x, int y) { return (x + y >= mod) ? (x + y - mod) : (x + y); }

int dec(int x, int y) { return (x - y >= 0) ? (x - y) : (x - y + mod); }

int n, m, rt;
int sum[maxn];
int add[maxn], mul[maxn];
int t[maxn], top = 0;
int opt, tmp, x[2], y[2];
int mn[maxn][2], mx[maxn][2];
int val[maxn][2], ch[maxn][2];

struct node {
  int opt, l, r, ed, val;
} q[maxn];

int K;
bool cmp(int a, int b) { return val[a][K] < val[b][K]; }
#define ls ch[u][0]
#define rs ch[u][1]
void pushup(int u) {
  add[u] = 0, mul[u] = 1;
  for (int i = 0; i < 2; i++) {
    mn[u][i] = min(val[u][i], min(mn[ls][i], mn[rs][i]));
    mx[u][i] = max(val[u][i], max(mx[ls][i], mx[rs][i]));
  }
}

void build(int& u, int l, int r, int k) {
  if (l > r) return;
  K = k;
  int mid = l + r >> 1;
  sort(t + l, t + r + 1, cmp);
  u = t[mid];
  build(ls, l, mid - 1, k ^ 1);
  build(rs, mid + 1, r, k ^ 1);
  pushup(u);
}

void pushdown(int u) {
  if (mul[u] ^ 1) {
    sum[ls] = (sum[ls] * mul[u]) % mod;
    sum[rs] = (sum[rs] * mul[u]) % mod;
    mul[ls] = (mul[ls] * mul[u]) % mod;
    mul[rs] = (mul[rs] * mul[u]) % mod;
    add[ls] = (add[ls] * mul[u]) % mod;
    add[rs] = (add[rs] * mul[u]) % mod;
    mul[u] = 1;
  }

  if (add[u]) {
    sum[ls] = inc(sum[ls], add[u]);
    sum[rs] = inc(sum[rs], add[u]);
    add[ls] = inc(add[ls], add[u]);
    add[rs] = inc(add[rs], add[u]);
    add[u] = 0;
  }
}

int allin, allout, thisin;

void chk(int u) {
  allin = allout = thisin = 1;
  for (int i = 0; i < 2; i++) {
    if (x[i] > mn[u][i] || mx[u][i] > y[i]) {
      allin = 0;
      if (x[i] > val[u][i] || val[u][i] > y[i]) {
        thisin = 0;
        if (x[i] > mx[u][i] || y[i] < mn[u][i]) {
          allout = 0;
        }
      }
    }
  }
  allout ^= 1;
}

void _add(int u) {
  if (!u) return;
  chk(u);
  if (allout) return;
  if (thisin) {
    if (opt == 1) {
      sum[u] = inc(sum[u], tmp);
    } else {
      sum[u] = sum[u] * tmp % mod;
    }
  }
  if (allin) {
    if (opt == 1) {
      add[u] = inc(add[u], tmp);
    } else {
      add[u] = add[u] * tmp % mod;
      mul[u] = mul[u] * tmp % mod;
    }
    return;
  }

  pushdown(u);
  _add(ls);
  _add(rs);
}

void qry(int u, int v) {
  if (!u) return;
  if (val[v][0] < mn[u][0] || val[v][0] > mx[u][0]) return;
  if (val[v][1] < mn[u][1] || val[v][1] > mx[u][1]) return;

  if (u == v) {
    out << sum[u] << '
';
    return;
  }

  pushdown(u);

  qry(ls, v);
  qry(rs, v);
}

signed main() {
  // code begin.
  in >> n >> m;
  mn[0][0] = mn[0][1] = maxn;
  mx[0][0] = mx[0][1] = 0;
  rep(i, 1, m) {
    in >> q[i].opt;
    if (q[i].opt <= 2) {
      in >> q[i].l >> q[i].r >> q[i].val;
      q[i].ed = m;
    } else {
      if (q[i].opt == 3) {
        in >> val[i][1];
        val[i][0] = i;
        t[++top] = i;
        mul[i] = 1;
      } else {
        in >> q[i].ed;
        q[q[i].ed].ed = i;
      }
    }
  }
  build(rt, 1, top, 0);
  rep(i, 1, m) {
    if (q[i].opt <= 2) {
      opt = q[i].opt, tmp = q[i].val;
      tmp %= mod;
      x[0] = i, y[0] = q[i].ed;
      x[1] = q[i].l, y[1] = q[i].r;
      _add(rt);
    } else {
      if (q[i].opt == 3) qry(rt, i);
    }
  }
  return 0;
  // code end.
}