oj.uz

Submission #499169

# Submission time Handle Problem Language Result Execution time Memory
499169 2021-12-27T11:41:09 Z 600Mihnea Golf (JOI17_golf) C++17
30 / 100
 10000 ms 46540 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;

void addToQ(int type, int index, int value) {
  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});
}


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++) {
    xSegs = segs[type];
    vector<int> inds(2 * (n + 2));
    iota(inds.begin(), inds.end(), 0);
   /// assert((int) inds.size() == (int) xSegs.size());
   // continue;
    sort(inds.begin(), inds.end(), cmp);
    map<int, int> last;
    for (auto &it : inds) {
      assert(last[xSegs[it].where] <= xSegs[it].e_high);
      last[xSegs[it].where] = xSegs[it].e_high;
    }
  }

  while (!q.empty()) {
    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());

    for (int j = 0; j < 2 * (n + 2); j++) {

      if (segs[type ^ 1][j].dp == -1
          && segs[type ^ 1][j].e_low <= segs[type][index].where && segs[type][index].where <= segs[type ^ 1][j].e_high
          && segs[type][index].e_low <= segs[type ^ 1][j].where && segs[type ^ 1][j].where <= segs[type][index].e_high) {
        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:314:9: warning: unused variable 'dp' [-Wunused-variable]
  314 |     int dp = segs[type][index].dp;
      |         ^~

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 9 ms 12748 KB Output is correct
2 Correct 10 ms 12748 KB Output is correct
3 Correct 11 ms 12820 KB Output is correct
4 Correct 10 ms 12876 KB Output is correct
5 Correct 45 ms 13108 KB Output is correct
6 Correct 37 ms 13132 KB Output is correct
7 Correct 35 ms 13132 KB Output is correct
8 Correct 37 ms 13104 KB Output is correct
9 Correct 41 ms 13208 KB Output is correct
10 Correct 37 ms 13080 KB Output is correct
11 Correct 40 ms 13092 KB Output is correct
12 Correct 42 ms 13148 KB Output is correct
13 Correct 35 ms 13040 KB Output is correct
14 Correct 37 ms 13072 KB Output is correct
15 Correct 13 ms 12876 KB Output is correct
16 Correct 22 ms 13048 KB Output is correct

Subtask #2
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 9 ms 12748 KB Output is correct
2 Correct 10 ms 12748 KB Output is correct
3 Correct 11 ms 12820 KB Output is correct
4 Correct 10 ms 12876 KB Output is correct
5 Correct 45 ms 13108 KB Output is correct
6 Correct 37 ms 13132 KB Output is correct
7 Correct 35 ms 13132 KB Output is correct
8 Correct 37 ms 13104 KB Output is correct
9 Correct 41 ms 13208 KB Output is correct
10 Correct 37 ms 13080 KB Output is correct
11 Correct 40 ms 13092 KB Output is correct
12 Correct 42 ms 13148 KB Output is correct
13 Correct 35 ms 13040 KB Output is correct
14 Correct 37 ms 13072 KB Output is correct
15 Correct 13 ms 12876 KB Output is correct
16 Correct 22 ms 13048 KB Output is correct
17 Correct 37 ms 13136 KB Output is correct
18 Correct 42 ms 13100 KB Output is correct
19 Correct 40 ms 13132 KB Output is correct
20 Correct 37 ms 13152 KB Output is correct
21 Correct 40 ms 13164 KB Output is correct
22 Correct 39 ms 13044 KB Output is correct
23 Correct 39 ms 13092 KB Output is correct
24 Correct 38 ms 13096 KB Output is correct
25 Correct 46 ms 13076 KB Output is correct
26 Correct 40 ms 13144 KB Output is correct
27 Correct 19 ms 12876 KB Output is correct
28 Correct 24 ms 13076 KB Output is correct
29 Correct 24 ms 13036 KB Output is correct

Subtask #3
0 / 70.0

# Verdict Execution time Memory Grader output
1 Correct 9 ms 12748 KB Output is correct
2 Correct 10 ms 12748 KB Output is correct
3 Correct 11 ms 12820 KB Output is correct
4 Correct 10 ms 12876 KB Output is correct
5 Correct 45 ms 13108 KB Output is correct
6 Correct 37 ms 13132 KB Output is correct
7 Correct 35 ms 13132 KB Output is correct
8 Correct 37 ms 13104 KB Output is correct
9 Correct 41 ms 13208 KB Output is correct
10 Correct 37 ms 13080 KB Output is correct
11 Correct 40 ms 13092 KB Output is correct
12 Correct 42 ms 13148 KB Output is correct
13 Correct 35 ms 13040 KB Output is correct
14 Correct 37 ms 13072 KB Output is correct
15 Correct 13 ms 12876 KB Output is correct
16 Correct 22 ms 13048 KB Output is correct
17 Correct 37 ms 13136 KB Output is correct
18 Correct 42 ms 13100 KB Output is correct
19 Correct 40 ms 13132 KB Output is correct
20 Correct 37 ms 13152 KB Output is correct
21 Correct 40 ms 13164 KB Output is correct
22 Correct 39 ms 13044 KB Output is correct
23 Correct 39 ms 13092 KB Output is correct
24 Correct 38 ms 13096 KB Output is correct
25 Correct 46 ms 13076 KB Output is correct
26 Correct 40 ms 13144 KB Output is correct
27 Correct 19 ms 12876 KB Output is correct
28 Correct 24 ms 13076 KB Output is correct
29 Correct 24 ms 13036 KB Output is correct
30 Execution timed out 10054 ms 46540 KB Time limit exceeded
31 Halted 0 ms 0 KB -