oj.uz

답안 #499199

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
499199 2021-12-27T12:35:16 Z 600Mihnea Golf (JOI17_golf) C++17
30 / 100
 10000 ms 89744 KB 
#include <bits/stdc++.h>

using namespace std;

#define y1 ynot1

typedef long long ll;
typedef long double ld;

struct Box {
  int xmin;
  int xmax;
  int ymin;
  int ymax;

};

const int N = 100000 + 7;
const int INF = (int) 1e9 + 7;

int n;
int x1;
int y1;
int x2;
int y2;
Box boxes[N];

void normalization() {
  map<int, int> mx, my;

  for (int i = 0; i <= n + 1; i++) {
    mx[boxes[i].xmin] = 0;
    mx[boxes[i].xmax] = 0;

    my[boxes[i].ymin] = 0;
    my[boxes[i].ymax] = 0;
  }

  int c = 0;
  for (auto &it : mx) {
    it.second = ++c;
  }

  c = 0;
  for (auto &it : my) {
    it.second = ++c;
  }


  for (int i = 0; i <= n + 1; i++) {
    boxes[i].xmin = mx[boxes[i].xmin];
    boxes[i].xmax = mx[boxes[i].xmax];

    boxes[i].ymin = my[boxes[i].ymin];
    boxes[i].ymax = my[boxes[i].ymax];
  }
}

struct Segment {
  int where;
  int low;
  int high;
  int e_low;
  int e_high;
  int dp;
};

/**

segment tree of lasts

**/

struct Node {
  int mn;
  int mx;
};

Node operator + (Node a, Node b) {
  return {min(a.mn, b.mn), max(a.mx, b.mx)};
}

const Node non = {2 * N, 0};
Node segt1[8 * N];
Node lazy1[8 * N];

void push(int v, int tl, int tr) {
  if (lazy1[v].mn == non.mn && lazy1[v].mx == non.mx) {
    return;
  }

  segt1[v] = segt1[v] + lazy1[v];

  if (tl < tr) {
    lazy1[2 * v] = lazy1[2 * v] + lazy1[v];
    lazy1[2 * v + 1] = lazy1[2 * v + 1] + lazy1[v];
  }

  lazy1[v] = non;
}

void updsegt1(int v, int tl, int tr, int l, int r, int x) {
  push(v, tl, tr);
  if (tr < l || r < tl) {
    return;
  }
  if (l <= tl && tr <= r) {
    lazy1[v] = lazy1[v] + Node{x, x};
    push(v, tl, tr);
    return;
  }
  int tm = (tl + tr) / 2;
  updsegt1(2 * v, tl, tm, l, r, x);
  updsegt1(2 * v + 1, tm + 1, tr, l, r, x);
  segt1[v] = segt1[2 * v] + segt1[2 * v + 1];
}

void updsegt1(int l, int r, int x) {
  if (l > r) {
    return;
  }
  assert(1 <= l && l <= r && r <= 2 * (n + 2));
  updsegt1(1, 1, 2 * (n + 2), l, r, x);
}

Node getsegt1(int v, int tl, int tr, int l, int r) {
  push(v, tl, tr);
  if (tr < l || r < tl) {
    return non;
  }
  if (l <= tl && tr <= r) {
    return segt1[v];
  }
  int tm = (tl + tr) / 2;
  return getsegt1(2 * v, tl, tm, l, r) + getsegt1(2 * v + 1, tm + 1, tr, l, r);
}

Node getsegt1(int l, int r) {
  return getsegt1(1, 1, 2 * (n + 2), l, r);
}

void clr() {
  for (int i = 0; i < 8 * N; i++) {
    segt1[i] = non;
    lazy1[i] = non;
  }
}


vector<vector<Segment>> segs;
vector<Segment> xSegs;
vector<Segment> ySegs;

bool cmpextlowX(int i, int j) {
  return xSegs[i].low < xSegs[j].low;
}

bool cmpexthighX(int i, int j) {
  return xSegs[i].high > xSegs[j].high;
}

bool cmpextY(int i, int j) {
  return ySegs[i].where < ySegs[j].where;
}

bool cmp(int i, int j) {
  return xSegs[i].e_low < xSegs[j].e_low;
}

void calculateextensions() {

  for (int step = 1; step <= 2; step++) {
    /// calculate x segs
    for (int i = 0; i <= n + 1; i++) {
      xSegs.push_back({boxes[i].ymin, boxes[i].xmin, boxes[i].xmax, 0, 2 * N, -1});
      xSegs.push_back({boxes[i].ymax, boxes[i].xmin, boxes[i].xmax, 0, 2 * N, -1});
    }

    for (int i = 0; i <= n + 1; i++) {
      swap(boxes[i].xmin, boxes[i].ymin);
      swap(boxes[i].xmax, boxes[i].ymax);
    }

    swap(xSegs, ySegs);
  }

  assert((int) xSegs.size() == 2 * (n + 2));
  assert((int) ySegs.size() == 2 * (n + 2));

  for (int step = 1; step <= 2; step++) {
    /// compute the extensions

    {
      vector<int> ordx(2 * (n + 2)), ordy;
      iota(ordx.begin(), ordx.end(), 0);
      ordy = ordx;
      sort(ordx.begin(), ordx.end(), cmpextlowX);
      sort(ordy.begin(), ordy.end(), cmpextY);

      {
        clr();
        int ptr = 0;
        for (int it = 0; it < 2 * (n + 2); it++) {
          int i = ordx[it];


          while (ptr < 2 * (n + 2) && ySegs[ordy[ptr]].where < xSegs[i].low) {
            updsegt1(ySegs[ordy[ptr]].low + 1, ySegs[ordy[ptr]].high - 1, ySegs[ordy[ptr]].where);
            ptr++;
          }

          xSegs[i].e_low = getsegt1(xSegs[i].where, xSegs[i].where).mx;
        }
      }

      {
        reverse(ordx.begin(), ordx.end()); /// optimization, daca nu merge, incearca cmpexthighX
        reverse(ordy.begin(), ordy.end());

        clr();
        int ptr = 0;
        for (int it = 0; it < 2 * (n + 2); it++) {
          int i = ordx[it];


          while (ptr < 2 * (n + 2) && ySegs[ordy[ptr]].where > xSegs[i].high) {
            updsegt1(ySegs[ordy[ptr]].low + 1, ySegs[ordy[ptr]].high - 1, ySegs[ordy[ptr]].where);
            ptr++;
          }

          xSegs[i].e_high = getsegt1(xSegs[i].where, xSegs[i].where).mn;
        }
      }

    }


    /// checker

    for (auto &it : xSegs) {
      assert(it.e_low <= it.low);
      assert(it.high <= it.e_high);
    }

    swap(xSegs, ySegs);
  }
  segs.push_back(xSegs);
  segs.push_back(ySegs);
}

queue<pair<int, int>> q;
bool deja[2][2 * N];

int done;

void addToQ(int type, int index, int value) {
  done++;
  deja[type][index] = 1;
  assert(0 <= type && type < 2);
  assert(0 <= index && index < (int) segs[type].size());
  assert(segs[type][index].dp == -1);
  segs[type][index].dp = value;
  q.push({type, index});
}

struct Snode {
  int index;
  int l;
  int r;
};

bool operator < (Snode a, Snode b) {
  if (a.l != b.l) {
    return a.l < b.l;
  }
  return a.index < b.index;
}

set<Snode> guys[2][2 * N];
int cnt[2][8 * N];
vector<int> now;

set<int> ct;

void addToSegt(int type, int v, int tl, int tr, int i, Snode node) {
  if (tr < i || i < tl) {
    return;
  }
  if (tl == tr) {
    guys[type][tl].insert(node);
    assert(!ct.count(node.index));
    ct.insert(node.index);

    cnt[type][v] = (int) guys[type][tl].size();
    return;
  }
  int tm = (tl + tr) / 2;
  addToSegt(type, 2 * v, tl, tm, i, node);
  addToSegt(type, 2 * v + 1, tm + 1, tr, i, node);
  cnt[type][v] = cnt[type][2 * v] + cnt[type][2 * v + 1];
}

void del(int type, int v, int tl, int tr, int l, int r, int i) {
  if (cnt[type][v] == 0) {
    return;
  }
  if (tr < l || r < tl) {
    return;
  }
  if (tl == tr) {
    while (!guys[type][tl].empty()) {
      auto it = guys[type][tl].begin();
      if (it->l <= i && it->r >= i) {
        if (!deja[type][it->index]) now.push_back(it->index);
        guys[type][tl].erase(it);
      } else {
        break;
      }
    }
    while (!guys[type][tl].empty()) {
      auto it = guys[type][tl].lower_bound({-1, i + 1, -1});
      if (it == guys[type][tl].begin()) {
        break;
      }
      it--;
      assert(it->l <= i);
      if (it->l <= i && it->r >= i) {
        if (!deja[type][it->index]) now.push_back(it->index);
        guys[type][tl].erase(it);
      } else {
        break;
      }
    }
    cnt[type][v] = (int) guys[type][tl].size();
    return;
  }
  int tm = (tl + tr) / 2;
  del(type, 2 * v, tl, tm, l, r, i);
  del(type, 2 * v + 1, tm + 1, tr, l, r, i);
  cnt[type][v] = cnt[type][2 * v] + cnt[type][2 * v + 1];
}

signed main() {
  ios::sync_with_stdio(0); cin.tie(0);

  ///freopen ("input", "r", stdin);

  cin >> x1 >> y1 >> x2 >> y2;
  cin >> n;
  for (int i = 1; i <= n; i++) {
    cin >> boxes[i].xmin >> boxes[i].xmax >> boxes[i].ymin >> boxes[i].ymax;
  }

  boxes[0].xmin = boxes[0].xmax = x1;
  boxes[0].ymin = boxes[0].ymax = y1;

  boxes[n + 1].xmin = boxes[n + 1].xmax = x2;
  boxes[n + 1].ymin = boxes[n + 1].ymax = y2;

  normalization(); /// do it later

  calculateextensions();


  if (n > 1000) {
    /// exit(0); /// I wanted to measure the first part of the algorithm
  }

  addToQ(0, 0, 1);
  addToQ(0, 1, 1);
  addToQ(1, 0, 1);
  addToQ(1, 1, 1);


  for (int type = 0; type < 2; type++) {
    for (int i = 0; i < 2 * (n + 2); i++) {
      addToSegt(type, 1, 1, 2 * (n + 2), segs[type][i].where, {i, segs[type][i].e_low, segs[type][i].e_high});
    }
    ct.clear();
  }

  while (!q.empty()) {
    if (n > 1000 && done >= 30000) {
      exit(0);
    }
    auto itQ = q.front();
    q.pop();
    int type = itQ.first;
    int index = itQ.second;


    int dp = segs[type][index].dp;

    assert(2 * (n + 2) == (int) segs[type ^ 1].size());

    now.clear();
    del(type ^ 1, 1, 1, 2 * (n + 2), segs[type][index].e_low, segs[type][index].e_high, segs[type][index].where);

    for (auto &j : now) {
      addToQ(type ^ 1, j, segs[type][index].dp + 1);
    }
  }

  for (auto &v : segs) {
    for (auto &seg : v) {
      assert(seg.dp != -1);
    }
  }

  x2 = boxes[n + 1].xmin;
  y2 = boxes[n + 1].ymin;

  int sol = INF;

  swap(x2, y2);

  for (auto &v : segs) {
    for (auto &seg : v) {
      if (x2 == seg.where && seg.e_low <= y2 && y2 <= seg.e_high) {
        sol = min(sol, seg.dp);
      }
    }
    swap(x2, y2);
  }

  cout << sol << "\n";


  return 0;
}

Compilation message

golf.cpp: In function 'int main()':
golf.cpp:392:9: warning: unused variable 'dp' [-Wunused-variable]
  392 |     int dp = segs[type][index].dp;
      |         ^~

Subtask #1
10.0 / 10.0

# 결과 실행 시간 메모리 Grader output
1 Correct 18 ms 31664 KB Output is correct
2 Correct 18 ms 31736 KB Output is correct
3 Correct 18 ms 31564 KB Output is correct
4 Correct 20 ms 31684 KB Output is correct
5 Correct 31 ms 32112 KB Output is correct
6 Correct 32 ms 32216 KB Output is correct
7 Correct 34 ms 32204 KB Output is correct
8 Correct 33 ms 32204 KB Output is correct
9 Correct 32 ms 32228 KB Output is correct
10 Correct 32 ms 32248 KB Output is correct
11 Correct 31 ms 32224 KB Output is correct
12 Correct 34 ms 32152 KB Output is correct
13 Correct 32 ms 32332 KB Output is correct
14 Correct 32 ms 32132 KB Output is correct
15 Correct 28 ms 31888 KB Output is correct
16 Correct 48 ms 32088 KB Output is correct

Subtask #2
20.0 / 20.0

# 결과 실행 시간 메모리 Grader output
1 Correct 18 ms 31664 KB Output is correct
2 Correct 18 ms 31736 KB Output is correct
3 Correct 18 ms 31564 KB Output is correct
4 Correct 20 ms 31684 KB Output is correct
5 Correct 31 ms 32112 KB Output is correct
6 Correct 32 ms 32216 KB Output is correct
7 Correct 34 ms 32204 KB Output is correct
8 Correct 33 ms 32204 KB Output is correct
9 Correct 32 ms 32228 KB Output is correct
10 Correct 32 ms 32248 KB Output is correct
11 Correct 31 ms 32224 KB Output is correct
12 Correct 34 ms 32152 KB Output is correct
13 Correct 32 ms 32332 KB Output is correct
14 Correct 32 ms 32132 KB Output is correct
15 Correct 28 ms 31888 KB Output is correct
16 Correct 48 ms 32088 KB Output is correct
17 Correct 35 ms 32204 KB Output is correct
18 Correct 36 ms 32144 KB Output is correct
19 Correct 34 ms 32136 KB Output is correct
20 Correct 36 ms 32156 KB Output is correct
21 Correct 37 ms 32152 KB Output is correct
22 Correct 37 ms 32324 KB Output is correct
23 Correct 38 ms 32152 KB Output is correct
24 Correct 39 ms 32204 KB Output is correct
25 Correct 39 ms 32160 KB Output is correct
26 Correct 35 ms 32224 KB Output is correct
27 Correct 30 ms 31836 KB Output is correct
28 Correct 53 ms 32200 KB Output is correct
29 Correct 59 ms 32160 KB Output is correct

Subtask #3
0 / 70.0

# 결과 실행 시간 메모리 Grader output
1 Correct 18 ms 31664 KB Output is correct
2 Correct 18 ms 31736 KB Output is correct
3 Correct 18 ms 31564 KB Output is correct
4 Correct 20 ms 31684 KB Output is correct
5 Correct 31 ms 32112 KB Output is correct
6 Correct 32 ms 32216 KB Output is correct
7 Correct 34 ms 32204 KB Output is correct
8 Correct 33 ms 32204 KB Output is correct
9 Correct 32 ms 32228 KB Output is correct
10 Correct 32 ms 32248 KB Output is correct
11 Correct 31 ms 32224 KB Output is correct
12 Correct 34 ms 32152 KB Output is correct
13 Correct 32 ms 32332 KB Output is correct
14 Correct 32 ms 32132 KB Output is correct
15 Correct 28 ms 31888 KB Output is correct
16 Correct 48 ms 32088 KB Output is correct
17 Correct 35 ms 32204 KB Output is correct
18 Correct 36 ms 32144 KB Output is correct
19 Correct 34 ms 32136 KB Output is correct
20 Correct 36 ms 32156 KB Output is correct
21 Correct 37 ms 32152 KB Output is correct
22 Correct 37 ms 32324 KB Output is correct
23 Correct 38 ms 32152 KB Output is correct
24 Correct 39 ms 32204 KB Output is correct
25 Correct 39 ms 32160 KB Output is correct
26 Correct 35 ms 32224 KB Output is correct
27 Correct 30 ms 31836 KB Output is correct
28 Correct 53 ms 32200 KB Output is correct
29 Correct 59 ms 32160 KB Output is correct
30 Execution timed out 10091 ms 89744 KB Time limit exceeded
31 Halted 0 ms 0 KB -