oj.uz

Submission #877755

# Submission time Handle Problem Language Result Execution time Memory
877755 2023-11-23T14:03:37 Z Kanon Comparing Plants (IOI20_plants) C++14
25 / 100
 1303 ms 91960 KB 
#include <bits/stdc++.h>
#include "plants.h"

using namespace std;

template <typename A, typename B>
string to_string(pair<A, B> p);

template <typename A, typename B, typename C>
string to_string(tuple<A, B, C> p);

template <typename A, typename B, typename C, typename D>
string to_string(tuple<A, B, C, D> p);

string to_string(const string& s) {
  return '"' + s + '"';
}

string to_string(const char* s) {
  return to_string((string) s);
}

string to_string(bool b) {
  return (b ? "true" : "false");
}

string to_string(vector<bool> v) {
  bool first = true;
  string res = "{";
  for (int i = 0; i < static_cast<int>(v.size()); i++) {
    if (!first) {
      res += ", ";
    }
    first = false;
    res += to_string(v[i]);
  }
  res += "}";
  return res;
}

template <size_t N>
string to_string(bitset<N> v) {
  string res = "";
  for (size_t i = 0; i < N; i++) {
    res += static_cast<char>('0' + v[i]);
  }
  return res;
}

template <typename A>
string to_string(A v) {
  bool first = true;
  string res = "{";
  for (const auto &x : v) {
    if (!first) {
      res += ", ";
    }
    first = false;
    res += to_string(x);
  }
  res += "}";
  return res;
}

template <typename A, typename B>
string to_string(pair<A, B> p) {
  return "(" + to_string(p.first) + ", " + to_string(p.second) + ")";
}

template <typename A, typename B, typename C>
string to_string(tuple<A, B, C> p) {
  return "(" + to_string(get<0>(p)) + ", " + to_string(get<1>(p)) + ", " + to_string(get<2>(p)) + ")";
}

template <typename A, typename B, typename C, typename D>
string to_string(tuple<A, B, C, D> p) {
  return "(" + to_string(get<0>(p)) + ", " + to_string(get<1>(p)) + ", " + to_string(get<2>(p)) + ", " + to_string(get<3>(p)) + ")";
}

void debug_out() { cerr << endl; }

template <typename Head, typename... Tail>
void debug_out(Head H, Tail... T) {
  cerr << " " << to_string(H);
  debug_out(T...);
}

#define debug(...) cerr << "[" << #__VA_ARGS__ << "]:", debug_out(__VA_ARGS__);

class segtree {
  public:
  struct node {
    // info here
    int min_val = 0;
    int min_pos = -1;
    int ad = 0;

    void apply(int l, int r, int v) {
      // add parameter above
      ad += v;
      min_val += v;
      if (min_pos == -1) min_pos = l;
    }
    // segtree beat here
  };

  node unite(const node &a, const node &b) const {
    node res;
    res.min_val = min(a.min_val, b.min_val);
    if (res.min_val != a.min_val) res.min_pos = b.min_pos;
    else if (res.min_val != b.min_val) res.min_pos = a.min_pos;
    else res.min_pos = min(a.min_pos, b.min_pos);
    // unite here
    return res;
  }

  inline void push(int x, int l, int r) {
    int y = (l + r) >> 1;
    int z = x + ((y - l + 1) << 1);
    // lazy here
    if (tree[x].ad != 0) {
      tree[x + 1].apply(l, y, tree[x].ad);
      tree[z].apply(y + 1, r, tree[x].ad);
    }
  }

  inline void pull(int x, int z) {
    tree[x] = unite(tree[x + 1], tree[z]);
  }

  int n;
  vector<node> tree;

  void build(int x, int l, int r) {
    if (l == r) {
      return;
    }
    int y = (l + r) >> 1;
    int z = x + ((y - l + 1) << 1);
    build(x + 1, l, y);
    build(z, y + 1, r);
    pull(x, z);
  }

  template <typename M, typename... T>
  void build(int x, int l, int r, const vector<M> &v, const T&... t) {
    if (l == r) {
      tree[x].apply(l, r, v[l], t...);
      return;
    }
    int y = (l + r) >> 1;
    int z = x + ((y - l + 1) << 1);
    build(x + 1, l, y, v, t...);
    build(z, y + 1, r, v, t...);
    pull(x, z);
  }

  template <typename M, typename... T>
  segtree(const vector<M> &v, const T&... t) {
    n = v.size();
    assert(n > 0);
    tree.resize(2 * n - 1);
    build(0, 0, n - 1, v, t...);
  }

  segtree(int _n) : n(_n) {
    assert(n > 0);
    tree.resize(2 * n - 1);
    build(0, 0, n - 1);
  }

  segtree(){};

  node get(int x, int l, int r, int ll, int rr) {
    if (ll <= l && r <= rr) {
      return tree[x];
    }
    int y = (l + r) >> 1;
    int z = x + ((y - l + 1) << 1);
    push(x, l, r);
    node res{};
    if (rr <= y) {
      res = get(x + 1, l, y, ll, rr);
    } else {
      if (ll > y) {
        res = get(z, y + 1, r, ll, rr);
      } else {
        res = unite(get(x + 1, l, y, ll, rr), get(z, y + 1, r, ll, rr));
      }
    }
    pull(x, z);
    return res;
  }

  node get(int ll, int rr) {
    assert(0 <= ll && ll <= rr && rr <= n - 1);
    return get(0, 0, n - 1, ll, rr);
  }

  node get(int p) {
    assert(0 <= p && p <= n - 1);
    return get(0, 0, n - 1, p, p);
  }

  template <typename... M>
  void modify(int x, int l, int r, int ll, int rr, const M&... v) {
    // segtree beat condition here
    if (ll <= l && r <= rr) {
      tree[x].apply(l, r, v...);
      return;
    }
    // A:;
    int y = (l + r) >> 1;
    int z = x + ((y - l + 1) << 1);
    push(x, l, r);
    if (ll <= y) {
      modify(x + 1, l, y, ll, rr, v...);
    }
    if (rr > y) {
      modify(z, y + 1, r, ll, rr, v...);
    }
    pull(x, z);
  }

  template <typename... M>
  void modify(int ll, int rr, const M&... v) {
    assert(0 <= ll && ll <= rr && rr <= n - 1);
    modify(0, 0, n - 1, ll, rr, v...);
  }

  // find_first and find_last call all FALSE elements
  // to the left (right) of the sought position exactly once

  int find_first_knowingly(int x, int l, int r, const function<bool(const node&)> &f) {
    if (l == r) {
      return l;
    }
    push(x, l, r);
    int y = (l + r) >> 1;
    int z = x + ((y - l + 1) << 1);
    int res;
    if (f(tree[x + 1])) {
      res = find_first_knowingly(x + 1, l, y, f);
    } else {
      res = find_first_knowingly(z, y + 1, r, f);
    }
    pull(x, z);
    return res;
  }

  int find_first(int x, int l, int r, int ll, int rr, const function<bool(const node&)> &f) {
    if (ll <= l && r <= rr) {
      if (!f(tree[x])) {
        return -1;
      }
      return find_first_knowingly(x, l, r, f);
    }
    push(x, l, r);
    int y = (l + r) >> 1;
    int z = x + ((y - l + 1) << 1);
    int res = -1;
    if (ll <= y) {
      res = find_first(x + 1, l, y, ll, rr, f);
    }
    if (rr > y && res == -1) {
      res = find_first(z, y + 1, r, ll, rr, f);
    }
    pull(x, z);
    return res;
  }

  int find_first(int ll, int rr, const function<bool(const node&)> &f) {
    assert(0 <= ll && ll <= rr && rr <= n - 1);
    return find_first(0, 0, n - 1, ll, rr, f);
  }

  int find_last_knowingly(int x, int l, int r, const function<bool(const node&)> &f) {
    if (l == r) {
      return l;
    }
    push(x, l, r);
    int y = (l + r) >> 1;
    int z = x + ((y - l + 1) << 1);
    int res;
    if (f(tree[z])) {
      res = find_last_knowingly(z, y + 1, r, f);
    } else {
      res = find_last_knowingly(x + 1, l, y, f);
    }
    pull(x, z);
    return res;
  }

  int find_last(int x, int l, int r, int ll, int rr, const function<bool(const node&)> &f) {
    if (ll <= l && r <= rr) {
      if (!f(tree[x])) {
        return -1;
      }
      return find_last_knowingly(x, l, r, f);
    }
    push(x, l, r);
    int y = (l + r) >> 1;
    int z = x + ((y - l + 1) << 1);
    int res = -1;
    if (rr > y) {
      res = find_last(z, y + 1, r, ll, rr, f);
    }
    if (ll <= y && res == -1) {
      res = find_last(x + 1, l, y, ll, rr, f);
    }
    pull(x, z);
    return res;
  }

  int find_last(int ll, int rr, const function<bool(const node&)> &f) {
    assert(0 <= ll && ll <= rr && rr <= n - 1);
    return find_last(0, 0, n - 1, ll, rr, f);
  }

};
/* HOW TO USE
  node                                    (Modify here)
    info
    apply(int l, int r, ...)
    // segtree beat condition f

  unite(node, node)                       (Modify here)
  push(x, l, r)                           (Modify here)
  pull(x, z)

  n, vector<node> tree

  build(x, l, r)
  segtree(n)

  build(x, l, r, vector, state_parameter...)
  segtree(vector, state_parameter...)

  get(x, l, r, ll, rr) => get(ll, rr) + get(p)
  modify(x, l, r, ll, rr, ...) => modify(ll, rr, ...)
    // if (f) goto A                                      (Modify here)
    if (l <= ll && rr <= r)
    //A:;                                                 (Modify here)

  find_first_knowingly(x, l, r, &f) (not bounded by ll, rr) => find_first(x, l, r, ll, rr, &f) => find_first(ll, rr, &f)
  find_last_knowingly(x, l, r, &f) (not bounded by ll, rr) => find_last(x, l, r, ll, rr, &f) => find_last(ll, rr, &f)
*/

const int inf = 1e9;
const int N = 20;

int n;
vector<int> position;
vector<vector<long long>> sL;
vector<vector<long long>> sR;
vector<int> order;
int step;

void init(int k, vector<int> a) {

  position.clear();
  sL.clear();
  sR.clear();
  order.clear();

  n = a.size();
  step = k;

  vector<int> A(2 * n);
  for (int i = 0; i < 2 * n; i++) A[i] = a[i % n];
  segtree st(A);

  position.resize(n);
  sL.resize(N, vector<long long>(n));
  sR.resize(N, vector<long long>(n));

  set<int> roots;

  auto check = [&](int pos) {
    return st.get(pos + n - (k - 1), pos + n - 1).min_val > 0;
  };

  auto erase = [&](int pos) {

    roots.erase(pos);

    st.modify(pos + n - (k - 1), pos + n - 1, -1);
    if (pos > 0) st.modify(max(0, pos - (k - 1)), pos - 1, -1);
    if (pos - (k - 1) < 0) st.modify(pos - (k - 1) + 2 * n, 2 * n - 1, -1);
    st.modify(pos, pos, inf);
    st.modify(pos + n, pos + n, inf);

    auto Lnd = st.get(pos + n - (k - 1), pos + n - 1);
    if (Lnd.min_val == 0) {
      int p = Lnd.min_pos;
      if (p >= n) p -= n;
      if (check(p)) {
        roots.insert(p);
      }
    }

    auto Rnd = st.get(pos + 1, pos + k - 1);
    if (Rnd.min_val == 0) {
      int p = Rnd.min_pos;
      if (p >= n) p -= n;
      if (check(p)) {
        roots.insert(p);
      }
    }

  };

  for (int i = 0; i < n; i++) if (a[i] == 0 && check(i)) roots.insert(i);
  while (roots.size()) {
    auto it = roots.begin();
    order.push_back(*it);
    erase(*it);
  }
  assert((int) order.size() == n);

  for (int i = 0; i < n; i++) position[order[i]] = i;
  segtree segs(vector<int>(2 * n, inf));


  reverse(order.begin(), order.end());
  for (int v : order) {

    sL[0][v] = 0;
    sR[0][v] = 0;

    auto Lnd = segs.get(v + n - (k - 1), v + n);
    auto Rnd = segs.get(v, v + (k - 1));

    if (Lnd.min_val < inf) {
      int p = Lnd.min_pos;
      sL[0][v] += v + n - p;
    }

    if (Rnd.min_val < inf) {
      int p = Rnd.min_pos;
      sR[0][v] += p - v;
    }

    segs.modify(v, v, position[v] - inf);
    segs.modify(v + n, v + n, position[v] - inf);

  }
  debug("foo")

  for (int i = 1; i < N; i++) {
    for (int v = 0; v < n; v++) {

      int u;

      u = (1LL * v - sL[i - 1][v]) % n;
      if (u < 0) u += n;
      sL[i][v] = sL[i - 1][v] + sL[i - 1][u];

      u = (1LL * v + sR[i - 1][v]) % n;
      sR[i][v] = sR[i - 1][v] + sR[i - 1][u];

    }
  }
  debug("foo")

}


int goR(long long x, int y) {
  if (n > 100000) return -1;
  long long len = y - x + (step - 1);
  int goal = position[y % n];
  for (int b = N - 1; b >= 0; b--) {
    int d = sR[b][x % n];
    if (position[(x + d) % n] <= goal) {
      len -= d;
      x += d;
    }
  }
  if (len > 2 * (step - 1)) return -1;
  return x % n;
}

int goL(long long x, int y) {
  if (n > 100000) return -1;
  int len = x - y + (step - 1);
  int goal = position[(y + n) % n];
  for (int b = N - 1; b >= 0; b--) {
    int d = sL[b][((x % n) + n) % n];
    if (position[(((x - d) % n) + n) % n] <= goal) {
      len -= d;
      x -= d;
    }
  }
  if (len > 2 * (step - 1)) return -1;
  return ((x % n) + n) % n;
}

int compare_plants(int x, int y) {

  int ret;
  if (position[x] < position[y]) ret = 1;
  else ret = -1;

  if (position[x] > position[y]) swap(x, y);

  bool path = false;

  int v;

  v = goR(x, x < y ? y : y + n);
  if (v != -1 && position[v] <= position[y]) path = true;
  v = goL(x, x > y ? y : y - n);
  if (v != -1 && position[v] <= position[y]) path = true;

  if (!path) ret = 0;

  return ret;

}

Subtask #1
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 344 KB Output is correct
6 Correct 149 ms 3156 KB Output is correct
7 Correct 255 ms 11696 KB Output is correct
8 Incorrect 583 ms 91960 KB Output isn't correct
9 Halted 0 ms 0 KB -

Subtask #2
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 504 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 8 ms 940 KB Output is correct
7 Correct 238 ms 4896 KB Output is correct
8 Correct 5 ms 348 KB Output is correct
9 Correct 8 ms 932 KB Output is correct
10 Correct 243 ms 4972 KB Output is correct
11 Correct 208 ms 4944 KB Output is correct
12 Correct 213 ms 5032 KB Output is correct
13 Correct 238 ms 4944 KB Output is correct

Subtask #3
0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 504 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 8 ms 940 KB Output is correct
7 Correct 238 ms 4896 KB Output is correct
8 Correct 5 ms 348 KB Output is correct
9 Correct 8 ms 932 KB Output is correct
10 Correct 243 ms 4972 KB Output is correct
11 Correct 208 ms 4944 KB Output is correct
12 Correct 213 ms 5032 KB Output is correct
13 Correct 238 ms 4944 KB Output is correct
14 Correct 350 ms 11444 KB Output is correct
15 Incorrect 1303 ms 90672 KB Output isn't correct
16 Halted 0 ms 0 KB -

Subtask #4
0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 176 ms 3924 KB Output is correct
4 Incorrect 669 ms 90684 KB Output isn't correct
5 Halted 0 ms 0 KB -

Subtask #5
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 4 ms 536 KB Output is correct
7 Correct 35 ms 1104 KB Output is correct
8 Correct 37 ms 1104 KB Output is correct
9 Correct 42 ms 1088 KB Output is correct
10 Correct 38 ms 1140 KB Output is correct
11 Correct 35 ms 1116 KB Output is correct
12 Correct 36 ms 1108 KB Output is correct
13 Correct 39 ms 1108 KB Output is correct

Subtask #6
0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 5 ms 860 KB Output is correct
6 Incorrect 811 ms 91836 KB Output isn't correct
7 Halted 0 ms 0 KB -

Subtask #7
0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 344 KB Output is correct
6 Correct 149 ms 3156 KB Output is correct
7 Correct 255 ms 11696 KB Output is correct
8 Incorrect 583 ms 91960 KB Output isn't correct
9 Halted 0 ms 0 KB -