oj.uz

Submission #366030

# Submission time Handle Problem Language Result Execution time Memory
366030 2021-02-12T18:49:54 Z Kazalika Sweeping (JOI20_sweeping) C++14
100 / 100
 6417 ms 169336 KB 
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;

const int inf = 1e9 + 9;

int grand() {
  return ((ll)rand() << 15) + rand();
}

struct treap {
  int x, y, i;
  int set_x, set_y;
  int pr;
  treap *l, *r, *par;
  treap(int x, int y, int i) : x(x), y(y), i(i), set_x(-1), set_y(-1), pr(grand()), l(0), r(0), par(0) {}
  treap() {}
};

void upd(treap *t, int a, int b) {
  if (!t)
    return;
  if (a != -1)
    t->set_x = t->x = a;
  if (b != -1)
    t->set_y = t->y = b;
}

void push(treap *t) {
  upd(t->l, t->set_x, t->set_y);
  upd(t->r, t->set_x, t->set_y);
  t->set_x = t->set_y = -1;
}

void s_p(treap *t, treap *p) { if (t) t->par = p; }

pair<treap *, treap *> split(treap *t, pair<int, int> k, int i = inf) {
  if (!t)
    return {0, 0};
  push(t);
  if (t->x > k.first || t->y > k.second || (k == make_pair(t->x, t->y) && t->i > i)) {
    s_p(t->l, 0);
    auto a = split(t->l, k, i);
    t->l = a.second;
    s_p(t->l, t);
    return {a.first, t};
  } else {
    s_p(t->r, 0);
    auto a = split(t->r, k, i);
    t->r = a.first;
    s_p(t->r, t);
    return {t, a.second};
  }
}

treap *merge(treap *a, treap *b) {
  if (!a)
    return b;
  if (!b)
    return a;
  push(a), push(b);
  if (a->pr > b->pr) {
    s_p(a->r, 0);
    a->r = merge(a->r, b);
    s_p(a->r, a);
    return a;
  } else {
    s_p(b->l, 0);
    b->l = merge(a, b->l);
    s_p(b->l, b);
    return b;
  }
}

treap *wtf_merge(treap *a, treap *b) { // почему это работает быстро?
  if (!a)
    return b;
  if (!b)
    return a;
  push(a), push(b);
  if (a->pr < b->pr)
    swap(a, b);
  auto sb = split(b, {a->x, a->y}, a->i);
  s_p(a->l, 0), s_p(a->r, 0);
  a->l = wtf_merge(a->l, sb.first), a->r = wtf_merge(a->r, sb.second);
  s_p(a->l, a);
  s_p(a->r, a);
  return a;
}

pair<int, int> gl(treap *t) {
  push(t);
  if (t->l)
    return gl(t->l);
  return {t->x, t->y};
}

int n, m, q;

struct btreap {
  treap *gr;
  int x, y, mxy, pr;
  btreap *l, *r;
  btreap(treap *t) {
    gr = t;
    auto L = gl(gr);
    x = L.first, y = n - L.second;
    mxy = y;
    pr = grand();
    l = r = 0;
  }
  btreap() {}
};

void upd(btreap *t) {
  if (!t)
    return;
  t->mxy = t->y;
  if (t->l)
    t->mxy = max(t->mxy, t->l->mxy);
  if (t->r)
    t->mxy = max(t->mxy, t->r->mxy);
}

pair<btreap *, btreap *> split(btreap *t, int k, treap *x, bool inc) {
  if (!t)
    return {0, 0};
  upd(t);
  if (t->x > k || (t->x == k && inc && t->gr > x)) {    // ???
    auto a = split(t->l, k, x, inc);
    t->l = a.second;
    upd(t);
    return {a.first, t};
  } else {
    auto a = split(t->r, k, x, inc);
    t->r = a.first;
    upd(t);
    return {t, a.second};
  }
}

btreap *merge(btreap *a, btreap *b) {
  if (!a)
    return b;
  if (!b)
    return a;
  if (a->pr > b->pr) {
    a->r = merge(a->r, b);
    upd(a);
    return a;
  } else {
   b->l = merge(a, b->l);
   upd(b);
   return b;
  }
}

btreap *insert_btreap(btreap *t, treap *x) {
  if (!x)
    return t;
  btreap *ins = new btreap(x);
  auto a = split(t, ins->x, x, true);
  a.first = merge(a.first, ins);
  return merge(a.first, a.second);
}

vector <treap *> trav;

btreap *traverse(btreap *t, int y) {    // x <= l, y <= n - l -> l <= n - y -> l <= y_in_treap
  if (!t || t->mxy < y)
    return t;
  if (t->y < y) {
    t->l = traverse(t->l, y);
    t->r = traverse(t->r, y);
    upd(t);
    return t;
  } else {
    trav.push_back(t->gr);   // нашли челика из поддерева которого надо вытащить ребят
    btreap *a = traverse(t->l, y);
    btreap *b = traverse(t->r, y);
    return merge(a, b);
  }
}

btreap *groups = 0;

void sweep(int l) {
  trav.clear();
  auto a = split(groups, l, 0, false);   // находим группы из которых нужно вытащить челиков
  groups = a.second;
  groups = merge(traverse(a.first, l), groups);
  for (auto &dust : trav) {
    auto x = split(dust, {l, n - l});
    dust = x.first;
    groups = insert_btreap(groups, x.second);
  }
}

int main() {
  ios_base::sync_with_stdio(false);
  cin.tie(nullptr);

  cin >> n >> m >> q;
  vector<treap *> ptr;
  for (int i = 0; i < m; ++i) {
    int x, y;
    cin >> x >> y;
    treap *ins = new treap(x, y, i);
    groups = insert_btreap(groups, ins);
    ptr.push_back(ins);
  }
  for (int i = 0; i < q; ++i) {
    int t;
    cin >> t;
    if (t == 1) {
      int p;
      cin >> p;
      p--;
      treap *me = ptr[p];
      vector<treap *> way;
      while (me) {
        way.push_back(me);
        me = me->par;
      }
      for (int j = (int) way.size() - 1; j >= 0; --j)
        push(way[j]);
      cout << ptr[p]->x << ' ' << ptr[p]->y << '\n';
    } else if (t == 2) {
      int l;
      cin >> l;
      sweep(n - l);
      treap *new_gr = 0;
      for (auto dust : trav) {
        upd(dust, n - l, -1);
        new_gr = wtf_merge(new_gr, dust);
      }
      groups = insert_btreap(groups, new_gr);
    } else if (t == 3) {
      int l;
      cin >> l;
      sweep(l);
      treap *new_gr = 0;
      for (auto dust : trav) {
        upd(dust, -1, n - l);
        new_gr = wtf_merge(new_gr, dust);
      }
      groups = insert_btreap(groups, new_gr);
    } else {
      int x, y;
      cin >> x >> y;
      treap *ins = new treap(x, y, m);
      m++;
      groups = insert_btreap(groups, ins);
      ptr.push_back(ins);
    }
  }
}

Subtask #1
1.0 / 1.0

# Verdict Execution time Memory Grader output
1 Correct 9 ms 1004 KB Output is correct
2 Correct 5 ms 620 KB Output is correct
3 Correct 6 ms 876 KB Output is correct
4 Correct 8 ms 876 KB Output is correct
5 Correct 12 ms 1132 KB Output is correct
6 Correct 5 ms 748 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 4499 ms 120044 KB Output is correct
2 Correct 4589 ms 124272 KB Output is correct
3 Correct 4453 ms 124832 KB Output is correct
4 Correct 3531 ms 105352 KB Output is correct
5 Correct 4429 ms 118472 KB Output is correct
6 Correct 4239 ms 115768 KB Output is correct
7 Correct 4479 ms 121872 KB Output is correct

Subtask #3
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 2111 ms 79444 KB Output is correct
2 Correct 1950 ms 71124 KB Output is correct
3 Correct 1469 ms 77824 KB Output is correct
4 Correct 2616 ms 120204 KB Output is correct
5 Correct 2117 ms 93844 KB Output is correct
6 Correct 2085 ms 89668 KB Output is correct

Subtask #4
53.0 / 53.0

# Verdict Execution time Memory Grader output
1 Correct 2111 ms 79444 KB Output is correct
2 Correct 1950 ms 71124 KB Output is correct
3 Correct 1469 ms 77824 KB Output is correct
4 Correct 2616 ms 120204 KB Output is correct
5 Correct 2117 ms 93844 KB Output is correct
6 Correct 2085 ms 89668 KB Output is correct
7 Correct 3774 ms 102260 KB Output is correct
8 Correct 3816 ms 102052 KB Output is correct
9 Correct 3679 ms 102280 KB Output is correct
10 Correct 2802 ms 99400 KB Output is correct
11 Correct 5616 ms 127084 KB Output is correct
12 Correct 3339 ms 92272 KB Output is correct
13 Correct 3570 ms 93276 KB Output is correct
14 Correct 218 ms 27756 KB Output is correct
15 Correct 1694 ms 84852 KB Output is correct
16 Correct 3566 ms 102520 KB Output is correct
17 Correct 3396 ms 99964 KB Output is correct

Subtask #5
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 9 ms 1004 KB Output is correct
2 Correct 5 ms 620 KB Output is correct
3 Correct 6 ms 876 KB Output is correct
4 Correct 8 ms 876 KB Output is correct
5 Correct 12 ms 1132 KB Output is correct
6 Correct 5 ms 748 KB Output is correct
7 Correct 4499 ms 120044 KB Output is correct
8 Correct 4589 ms 124272 KB Output is correct
9 Correct 4453 ms 124832 KB Output is correct
10 Correct 3531 ms 105352 KB Output is correct
11 Correct 4429 ms 118472 KB Output is correct
12 Correct 4239 ms 115768 KB Output is correct
13 Correct 4479 ms 121872 KB Output is correct
14 Correct 2111 ms 79444 KB Output is correct
15 Correct 1950 ms 71124 KB Output is correct
16 Correct 1469 ms 77824 KB Output is correct
17 Correct 2616 ms 120204 KB Output is correct
18 Correct 2117 ms 93844 KB Output is correct
19 Correct 2085 ms 89668 KB Output is correct
20 Correct 3774 ms 102260 KB Output is correct
21 Correct 3816 ms 102052 KB Output is correct
22 Correct 3679 ms 102280 KB Output is correct
23 Correct 2802 ms 99400 KB Output is correct
24 Correct 5616 ms 127084 KB Output is correct
25 Correct 3339 ms 92272 KB Output is correct
26 Correct 3570 ms 93276 KB Output is correct
27 Correct 218 ms 27756 KB Output is correct
28 Correct 1694 ms 84852 KB Output is correct
29 Correct 3566 ms 102520 KB Output is correct
30 Correct 3396 ms 99964 KB Output is correct
31 Correct 3260 ms 114292 KB Output is correct
32 Correct 4411 ms 129840 KB Output is correct
33 Correct 2799 ms 101628 KB Output is correct
34 Correct 5950 ms 169336 KB Output is correct
35 Correct 6070 ms 169224 KB Output is correct
36 Correct 3152 ms 113772 KB Output is correct
37 Correct 6417 ms 150676 KB Output is correct
38 Correct 4496 ms 132608 KB Output is correct
39 Correct 4602 ms 128464 KB Output is correct
40 Correct 4108 ms 123932 KB Output is correct