oj.uz

Submission #781903

# Submission time Handle Problem Language Result Execution time Memory
781903 2023-07-13T12:59:55 Z Sam_a17 Radio Towers (IOI22_towers) C++17
17 / 100
 1127 ms 31280 KB 
#define _CRT_SECURE_NO_WARNINGS
#include <bits/stdc++.h>
//#include "temp.cpp"
#include <cstdio>
using namespace std;
 
#ifndef ONLINE_JUDGE
#define dbg(x) cerr << #x <<" "; print(x); cerr << endl;
#else
#define dbg(x)
#endif
 
#define sz(x) (int)x.size()
#define len(x) (int)x.length()
#define all(x) (x).begin(), (x).end()
#define rall(x) (x).rbegin(), (x).rend()
#define clr(x) (x).clear()
#define uniq(x) x.resize(unique(all(x)) - x.begin());
#define blt __builtin_popcount
 
#define pb push_back
#define popf pop_front
#define popb pop_back
#define ld long double
#define ll long long
 
void print(long long t) {cerr << t;}
void print(int t) {cerr << t;}
void print(string t) {cerr << t;}
void print(char t) {cerr << t;}
void print(double t) {cerr << t;}
void print(long double t) {cerr << t;}
void print(unsigned long long t) {cerr << t;}
 
#include <ext/pb_ds/assoc_container.hpp>
using namespace __gnu_pbds;
#define nl '\n'
 
// Indexed Set  
template <class T> using Tree = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
 
template <class T, class V> void print(pair <T, V> p);
template <class T> void print(vector <T> v);
template <class T> void print(set <T> v);
template <class T, class V> void print(map <T, V> v);
template <class T> void print(multiset <T> v);
template <class T, class V> void print(T v[],V n) {cerr << "["; for(int i = 0; i < n; i++) {print(v[i]); cerr << " "; } cerr << "]";}
template <class T, class V> void print(pair <T, V> p) {cerr << "{"; print(p.first); cerr << ","; print(p.second); cerr << "}";}
template <class T> void print(vector <T> v) {cerr << "[ "; for (T i : v) {print(i); cerr << " ";} cerr << "]";}
// template <class T> void print(vector <T> v) {cerr << "[ "; for (T i : v) {print(i); cerr << " ";} cerr << "]";}
template <class T> void print(set <T> v) {cerr << "[ "; for (T i : v) {print(i); cerr << " ";} cerr << "]";}
template <class T> void print(multiset <T> v) {cerr << "[ "; for (T i : v) {print(i); cerr << " ";} cerr << "]";}
template <class T> void print(Tree <T> v) {cerr << "[ "; for (T i : v) {print(i); cerr << " ";} cerr << "]";}
template <class T, class V> void print(map <T, V> v) {cerr << "[ "; for (auto i : v) {print(i); cerr << " ";} cerr << "]";}
template <class T> void print(deque <T> v) {cerr << "[ "; for (T i : v) {print(i); cerr << " ";} cerr << "]";}
 
 
// for random generations
mt19937 myrand(chrono::steady_clock::now().time_since_epoch().count());
// mt19937 myrand(131);
 
// for grid problems
int dx[8] = {-1,0,1,0,1,-1,1,-1};
int dy[8] = {0,1,0,-1,1,1,-1,-1};
 
// lowest / (1 << 17) >= 1e5 / (1 << 18) >= 2e5 / (1 << 21) >= 1e6
void fastIO() {
  ios_base::sync_with_stdio(false);
  cin.tie(nullptr); cout.tie(nullptr);
}
// file in/out
// void setIO(string str = "") {
//   fastIO();
 
//   if(str == "input") {
//     freopen("input.txt", "r", stdin);
//     freopen("output.txt", "w", stdout);
//   } else if(str != "") {
//     freopen((str + ".in").c_str(), "r", stdin);
//     freopen((str + ".out").c_str(), "w", stdout);
//   }
// }

const int N = 2e5 + 10;
int a[N], mid = -1;
int f1 = 1, n;
vector<int> b;
int pi[N];

vector<pair<long long, int>> ai;


struct segTreeMax {
  vector<long long> mTree;
  int size;
 
  void init(long long n) {
    size = 1;
    while(size < n)  {
      size *= 2;
    }
    mTree.assign(2 * size - 1, 0);
  }
 
  void upd(int u, long long v, int x, int lx, int rx) { // set value at pos u
    if(rx - lx == 1) {
      mTree[x] = v;
      return;
    }
 
    int m = (lx + rx) / 2;
    if(u < m) {
      upd(u, v, 2 * x + 1, lx, m);
    }else {
      upd(u, v, 2 * x + 2, m, rx);
    }
    mTree[x] = max(mTree[2 * x + 1], mTree[2 * x + 2]);
  }
 
  void upd(int u, long long v) {
    upd(u, v, 0, 0, size);
  }
 
  long long qry (int l, int r, int x, int lx, int rx) { // range queries
    if(l >= rx || lx >= r) {
      return 0;
    }
    if(lx >= l && r >= rx) {
      return mTree[x];
    }
 
    int m = (rx + lx) / 2;
    long long s1 = qry(l, r, 2 * x + 1, lx, m);
    long long s2 = qry(l, r, 2 * x + 2, m, rx);
    return max(s1, s2);
  }
 
  long long qry(int l, int r) {
    if(l >= r) {
      return -1;
    } 
    return qry(l, r, 0, 0, size);
  }

  int find(long long k, int l, int x, int lx, int rx) {
    if (mTree[x] < k) {
      return -1;
    }

    if (rx <= l) {
      return -1;
    }
 
    if(rx - lx == 1) {
      return lx;
    }
 
    int mid = (lx + rx) / 2;
    int answ = find(k, l, 2 * x + 1, lx, mid);
 
    if (answ == -1) {
      answ = find(k, l, 2 * x + 2, mid, rx);
    }
    return answ;
  }
 
  int find(long long k, int l) {
    return find(k, l, 0, 0, size);
  }
};

struct segTree {
  struct node {
    long long max_d, min_d;
    long long max_dist;
  };
  vector<node> mTree;
  int size;

  node merge(node a, node b) {
    a.max_d = max(a.max_d, b.max_d);
    a.min_d = min(a.min_d, b.min_d);
    a.max_dist = max({a.max_dist, b.max_dist, a.max_d - b.min_d});
    return a;
  }
 
  void init(long long n) {
    size = 1;
    while(size < n)  {
      size *= 2;
    }
    mTree.assign(2 * size - 1, {-1, -1, 0});
  }
 
  void upd(int u, long long v, int x, int lx, int rx) { // set value at pos u
    if(rx - lx == 1) {
      mTree[x].max_d = mTree[x].min_d = v;
      mTree[x].max_dist = 0;
      return;
    }
 
    int m = (lx + rx) / 2;
    if(u < m) {
      upd(u, v, 2 * x + 1, lx, m);
    }else {
      upd(u, v, 2 * x + 2, m, rx);
    }
    mTree[x] = merge(mTree[2 * x + 1], mTree[2 * x + 2]);
  }
 
  void upd(int u, long long v) {
    upd(u, v, 0, 0, size);
  }
 
  node qry (int l, int r, int x, int lx, int rx) { // range queries
    if(l >= rx || lx >= r) {
      return {0, 0, 0};
    }
    if(lx >= l && r >= rx) {
      return mTree[x];
    }
 
    int m = (rx + lx) / 2;
    node s1 = qry(l, r, 2 * x + 1, lx, m);
    node s2 = qry(l, r, 2 * x + 2, m, rx);
    return merge(s1, s2);
  }
 
  node qry(int l, int r) {
    return qry(l, r, 0, 0, size);
  }
};

struct mergeSortTree {
  vector<vector<int>> mTree;
  int size;

  void merge(int x, vector<int>& li, vector<int>& ri) {
    int l = 0, r = 0;
    while (l < sz(li) || r < sz(ri)) {
      if(l < sz(li) && r < sz(ri)) {
        if(li[l] < ri[r]) {
          mTree[x].push_back(li[l++]);
        } else {
          mTree[x].push_back(ri[r++]);
        }
      } else if(l < sz(li)) {
        mTree[x].push_back(li[l++]);
      } else {
        mTree[x].push_back(ri[r++]);
      }
    }
  }

  void build(int x, int lx, int rx) {
    if(rx - lx == 1) {
      if(lx < n) {
        mTree[x].push_back(ai[lx].second);
      }
    } else {
      int mid = (lx + rx) / 2;
      build(2 * x + 1, lx, mid);
      build(2 * x + 2, mid, rx);
      merge(x, mTree[2 * x + 1], mTree[2 * x + 2]);
    }
  }

  void init(long long n) {
    size = 1;
    while(size < n)  {
      size *= 2;
    }
    mTree.assign(2 * size - 1, {});
    build(0, 0, size);
  }
 
  int qry (int l, int r, int lix, int rix, int x, int lx, int rx) {
    if(l >= rx || lx >= r) {
      return 0;
    }

    if(lx >= l && r >= rx) {
      auto itl = lower_bound(all(mTree[x]), lix);
      if(itl == mTree[x].end()) return 0;
      int indl = itl - mTree[x].begin();

      auto indr = upper_bound(all(mTree[x]), rix) - mTree[x].begin() - 1;
      
      if(indl <= indr) {
        return indr - indl + 1;
      } else {
        return 0;
      }
    }
 
    int m = (rx + lx) / 2;
    int s1 = qry(l, r, lix, rix, 2 * x + 1, lx, m);
    int s2 = qry(l, r, lix, rix, 2 * x + 2, m, rx);
    return s1 + s2;
  }
 
  int qry(int l, int r, int lix, int rix) {
    return qry(l, r, lix, rix, 0, 0, size);
  }

  pair<int, int> qry2(int l, int r, int lix, int rix, int x, int lx, int rx) {
    if(l >= rx || lx >= r) {
      return {n, -1};
    }

    if(lx >= l && r >= rx) {
      auto itl = lower_bound(all(mTree[x]), lix);
      if(itl == mTree[x].end()) return {n, -1};
      int indl = itl - mTree[x].begin();

      auto indr = upper_bound(all(mTree[x]), rix) - mTree[x].begin() - 1;
      if(indl <= indr) {
        return {indl, indr};
      } else {
        return {n, -1};
      }
    }
 
    int m = (rx + lx) / 2;
    pair<int, int> s1 = qry2(l, r, lix, rix, 2 * x + 1, lx, m);
    pair<int, int> s2 = qry2(l, r, lix, rix, 2 * x + 2, m, rx);
    return {min(s1.first, s2.first), max(s1.second, s2.second)};
  }
 
  pair<int, int> qry2(int l, int r, int lix, int rix) {
    return qry2(l, r, lix, rix, 0, 0, size);
  }
};


segTree segt;
segTreeMax seg_all;
mergeSortTree mt;

void init(int maxN, std::vector<int> H) {
  n = maxN;

  seg_all.init(n + 1);
  for(int i = 0; i < n; i++) {
    a[i] = H[i];
    seg_all.upd(i, a[i]);
  }
  
  vector<int> lowRig(n + 1, n), lowLef(n + 1, -1);
  stack<pair<int, int>> st;
  segt.init(n + 1);

  for(int i = 0; i < n; i++) {
    segt.upd(i, a[i]);
    while(!st.empty() && st.top().first > a[i]) {
      lowRig[st.top().second] = i;
      st.pop();
    }

    if(!st.empty()) {
      lowLef[i] = st.top().second;
    }
    st.push({a[i], i});
  }

  for(int i = 0; i < n; i++) {
    long long curl = seg_all.qry(lowLef[i] + 1, i);
    if(lowLef[i] == -1) curl = 1e10 + 10;
    long long curr = seg_all.qry(i + 1, lowRig[i]);
    if(lowRig[i] == n) curr = 1e10 + 10;
    ai.push_back({min(curl, curr) - a[i], i});
  }

  sort(all(ai));

  mt.init(n + 1);
}

int max_towers(int L, int R, int D) {

  //
  // if(L == 0 && R == n - 1) {
  //   auto it = lower_bound(all(ai), (long long )D);
  //   int answ = 1;
  //   if(it != ai.end()) {
  //     int ind = it - ai.begin();
  //     answ = max(answ, n - ind);
  //   }
  //   return answ;
  // }

  //
  auto it = lower_bound(all(ai), make_pair((long long) D, 0));
  if(it == ai.end()) {
    return 1;
  }

  int ind = it - ai.begin();
  int ans = mt.qry(ind, n, L, R);
  pair<int, int> pr = mt.qry2(ind, n, L, R);

  if(pr.first <= pr.second) {
    int indi = seg_all.find(a[pr.second] + D, pr.second + 1);

    if(indi != -1 && indi <= pr.second) {
      int delta = segt.qry(indi, pr.second + 1).max_dist;
      if(delta >= D) {
        ans++;
      }
    }
  }
  
  return ans;
}

Subtask #1
0 / 4.0

# Verdict Execution time Memory Grader output
1 Incorrect 416 ms 16616 KB 1st lines differ - on the 1st token, expected: '1', found: '0'
2 Halted 0 ms 0 KB -

Subtask #2
0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB Output is correct
2 Correct 2 ms 720 KB Output is correct
3 Correct 2 ms 720 KB Output is correct
4 Correct 2 ms 720 KB Output is correct
5 Correct 2 ms 772 KB Output is correct
6 Correct 2 ms 720 KB Output is correct
7 Incorrect 2 ms 720 KB 1st lines differ - on the 1st token, expected: '34', found: '33'
8 Halted 0 ms 0 KB -

Subtask #3
0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB Output is correct
2 Correct 2 ms 720 KB Output is correct
3 Correct 2 ms 720 KB Output is correct
4 Correct 2 ms 720 KB Output is correct
5 Correct 2 ms 772 KB Output is correct
6 Correct 2 ms 720 KB Output is correct
7 Incorrect 2 ms 720 KB 1st lines differ - on the 1st token, expected: '34', found: '33'
8 Halted 0 ms 0 KB -

Subtask #4
0 / 14.0

# Verdict Execution time Memory Grader output
1 Incorrect 847 ms 30252 KB 1st lines differ - on the 1st token, expected: '11903', found: '11902'
2 Halted 0 ms 0 KB -

Subtask #5
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 334 ms 7536 KB Output is correct
2 Correct 976 ms 30448 KB Output is correct
3 Correct 862 ms 30372 KB Output is correct
4 Correct 1107 ms 30368 KB Output is correct
5 Correct 1117 ms 30428 KB Output is correct
6 Correct 1127 ms 30440 KB Output is correct
7 Correct 916 ms 30452 KB Output is correct
8 Correct 708 ms 31208 KB Output is correct
9 Correct 954 ms 30368 KB Output is correct
10 Correct 739 ms 30720 KB Output is correct
11 Correct 862 ms 30360 KB Output is correct
12 Correct 92 ms 30392 KB Output is correct
13 Correct 94 ms 30408 KB Output is correct
14 Correct 81 ms 30384 KB Output is correct
15 Correct 71 ms 30428 KB Output is correct
16 Correct 74 ms 30736 KB Output is correct
17 Correct 81 ms 29852 KB Output is correct
18 Correct 88 ms 30420 KB Output is correct
19 Correct 82 ms 30500 KB Output is correct
20 Correct 81 ms 30408 KB Output is correct
21 Correct 82 ms 30364 KB Output is correct
22 Correct 91 ms 30376 KB Output is correct
23 Correct 81 ms 30484 KB Output is correct
24 Correct 69 ms 31280 KB Output is correct
25 Correct 67 ms 30440 KB Output is correct
26 Correct 76 ms 30644 KB Output is correct
27 Correct 86 ms 30408 KB Output is correct
28 Correct 2 ms 720 KB Output is correct
29 Correct 2 ms 720 KB Output is correct
30 Correct 2 ms 720 KB Output is correct
31 Correct 2 ms 720 KB Output is correct
32 Correct 1 ms 720 KB Output is correct
33 Correct 1 ms 464 KB Output is correct
34 Correct 2 ms 720 KB Output is correct
35 Correct 2 ms 720 KB Output is correct
36 Correct 2 ms 720 KB Output is correct
37 Correct 2 ms 720 KB Output is correct
38 Correct 2 ms 720 KB Output is correct
39 Correct 2 ms 720 KB Output is correct
40 Correct 2 ms 720 KB Output is correct
41 Correct 2 ms 720 KB Output is correct
42 Correct 2 ms 720 KB Output is correct
43 Correct 2 ms 720 KB Output is correct

Subtask #6
0 / 19.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB Output is correct
2 Correct 2 ms 720 KB Output is correct
3 Correct 2 ms 720 KB Output is correct
4 Correct 2 ms 720 KB Output is correct
5 Correct 2 ms 772 KB Output is correct
6 Correct 2 ms 720 KB Output is correct
7 Incorrect 2 ms 720 KB 1st lines differ - on the 1st token, expected: '34', found: '33'
8 Halted 0 ms 0 KB -

Subtask #7
0 / 23.0

# Verdict Execution time Memory Grader output
1 Incorrect 416 ms 16616 KB 1st lines differ - on the 1st token, expected: '1', found: '0'
2 Halted 0 ms 0 KB -