Submission #937840

#TimeUsernameProblemLanguageResultExecution timeMemory
937840nguyentunglamFish 2 (JOI22_fish2)C++17
100 / 100
2443 ms15264 KiB
#include<bits/stdc++.h>
#define all(v) v.begin(), v.end()
#define endl "\n"
#define int long long
using namespace std;

const int N = 1e5 + 10;

int n;

long long bit[N], a[N];

struct IT1 {
  int T[N << 2];

  void up(int s, int l, int r, int pos, int val) {
    if (l == r) {
      T[s] = val;
      return;
    }
    int mid = l + r >> 1;
    if (pos <= mid) up(s << 1, l, mid, pos, val);
    else up(s << 1 | 1, mid + 1, r, pos, val);
    T[s] = max(T[s << 1], T[s << 1 | 1]);
  }

  int find_right(int s, int l, int r, int from, int to, int val) {
    if (l > to || r < from) return 0;
    if (from <= l && r <= to) {
      if (T[s] <= val) return 0;
      while (l != r) {
        int mid = l + r >> 1;
        if (T[s << 1] > val) {
          s = s << 1;
          r = mid;
        }
        else {
          s = s << 1 | 1;
          l = mid + 1;
        }
      }
      return l;
    }
    int mid = l + r >> 1;
    int ret = find_right(s << 1, l, mid, from, to, val);
    if (ret) return ret;
    return find_right(s << 1 | 1, mid + 1, r, from, to, val);
  }

  int find_left(int s, int l, int r, int from, int to, int val) {
    if (l > to || r < from) return 0;
    if (from <= l && r <= to) {
      if (T[s] <= val) return 0;
      while (l != r) {
        int mid = l + r >> 1;
        if (T[s << 1 | 1] > val) {
          s = s << 1 | 1;
          l = mid + 1;
        }
        else {
          s = s << 1;
          r = mid;
        }
      }
      return l;
    }
    int mid = l + r >> 1;
    int ret = find_left(s << 1 | 1, mid + 1, r, from, to, val);
    if (ret) return ret;
    return find_left(s << 1, l, mid, from, to, val);
  }
} it1;

struct IT2 {
  pair<int, int> T[N << 2];
  int lazy[N << 2];

  pair<int, int> gather(pair<int, int> x, pair<int, int> y) {
    if (x.first == y.first) return make_pair(x.first, x.second + y.second);
    return min(x, y);
  }

  void build(int s, int l, int r) {
    T[s].second = r - l + 1;
    if (l != r) {
      int mid = l + r >> 1;
      build(s << 1, l, mid);
      build(s << 1 | 1, mid + 1, r);
    }
  }

  void push(int s, int l, int r) {
    if (!lazy[s]) return;
    T[s].first += lazy[s];
    if (l != r) {
      lazy[s << 1] += lazy[s];
      lazy[s << 1 | 1] += lazy[s];
    }
    lazy[s] = 0;
  }

  void up(int s, int l, int r, int from, int to, int val) {
    push(s, l, r);
    if (l > to || r < from) return;
    if (from <= l && r <= to) {
      lazy[s] = val;
      push(s, l, r);
      return;
    }
    int mid = l + r >> 1;
    up(s << 1, l, mid, from, to, val);
    up(s << 1 | 1, mid + 1, r, from, to, val);
    T[s] = gather(T[s << 1], T[s << 1 | 1]);
  }

  pair<int, int> get(int s, int l, int r, int from, int to) {
    push(s, l, r);
    if (l > to || r < from) return make_pair(1e9, 0);
    if (from <= l && r <= to) return T[s];
    int mid = l + r >> 1;
    return gather(get(s << 1, l, mid, from, to), get(s << 1 | 1, mid + 1, r, from, to));
  }
} it2;

void up_bit(int pos, int val) {
  while (pos <= n) {
    bit[pos] += val;
    pos += pos & -pos;
  }
}

long long get_bit(int l, int r) {
  long long ret = 0;
  for(int pos = r; pos; pos -= pos & -pos) ret += bit[pos];
  for(int pos = l - 1; pos; pos -= pos & -pos) ret -= bit[pos];
  return ret;
}

vector<pair<int, int> > expand (int pos) {
  vector<pair<int, int> > ret;
  if (pos == 0 || pos == n + 1) return ret;
  int l = pos, r = pos, sum = a[pos];
  while (1) {
    int _r = it1.find_right(1, 1, n, r + 1, n, sum);
    if (_r == 0) _r = _r = n + 1;
    int _l = it1.find_left(1, 1, n, 1, l - 1, sum);
    if (_l == 0 && _r == n + 1) return ret;
    sum = get_bit(_l + 1, _r - 1);
    if (sum < a[_l] && sum < a[_r]) ret.emplace_back(_l + 1, _r - 1);
    if (a[_l] <= a[_r]) l = _l;
    else r = _r;
  }
  return ret;
}

vector<pair<int, int> > _expand (int pos) {
  vector<pair<int, int> > ret = expand(pos);
  vector<pair<int, int> > left = expand(pos - 1);
  vector<pair<int, int> > right = expand(pos + 1);
  for(auto &[l, r] : left) if (r == pos - 1) ret.emplace_back(l, r);
  for(auto &[l, r] : right) if (l == pos + 1) ret.emplace_back(l, r);
  return ret;
}


int32_t main() {
  #define task ""

  cin.tie(0) -> sync_with_stdio(0);

  if (fopen("task.inp", "r")) {
    freopen("task.inp", "r", stdin);
    freopen("task.out", "w", stdout);
  }

  if (fopen(task".inp", "r")) {
    freopen (task".inp", "r", stdin);
    freopen (task".out", "w", stdout);
  }

  cin >> n;

  a[0] = a[n + 1] = 1e18;


  it2.build(1, 1, n);

  auto add = [&] (int pos, int val) {
    vector<pair<int, int> > old = _expand(pos);
    for(auto &[l, r] : old) {
      it2.up(1, 1, n, l, r, -1);
//      cout << pos << " " << l << " " << r << "#\n";
    }
    up_bit(pos, val - a[pos]);
    a[pos] = val;
    it1.up(1, 1, n, pos, val);
    vector<pair<int, int> > cur = _expand(pos);
    for(auto &[l, r] : cur) {
      it2.up(1, 1, n, l, r, 1);
//      cout << pos << " " << l <<  " " << r << "@\n";
    }
  };

  auto query = [&] (int l, int r) {
    int j = r, last = r;
    long long sum = a[r];
    while (j > l) {
      j = it1.find_left(1, 1, n, 1, j - 1, sum);
      if (j < l) break;
      sum = get_bit(j + 1, r);
      if (sum < a[j]) last = j;
      sum += a[j];
    }
    r = last;
    j = l;
    last = l;
    sum = a[l];
    while (j < r) {
      j = it1.find_right(1, 1, n, j + 1, n, sum);
      if (j == 0 || j > r) break;
      sum = get_bit(l, j - 1);
      if (sum < a[j]) last = j;
      sum += a[j];
    }
    l = last;
    pair<int, int> tmp = it2.get(1, 1, n, l, r);
    return tmp.second;
  };

  for(int i = 1; i <= n; i++) {
    int x; cin >> x;
    add(i, x);
  }

  int q; cin >> q;

  while (q--) {
    int t, x, y; cin >> t >> x >> y;
    if (t == 1) add(x, y);
    else cout << query(x, y) << endl;
  }
}



Compilation message (stderr)

fish2.cpp: In member function 'void IT1::up(long long int, long long int, long long int, long long int, long long int)':
fish2.cpp:21:17: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   21 |     int mid = l + r >> 1;
      |               ~~^~~
fish2.cpp: In member function 'long long int IT1::find_right(long long int, long long int, long long int, long long int, long long int, long long int)':
fish2.cpp:32:21: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   32 |         int mid = l + r >> 1;
      |                   ~~^~~
fish2.cpp:44:17: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   44 |     int mid = l + r >> 1;
      |               ~~^~~
fish2.cpp: In member function 'long long int IT1::find_left(long long int, long long int, long long int, long long int, long long int, long long int)':
fish2.cpp:55:21: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   55 |         int mid = l + r >> 1;
      |                   ~~^~~
fish2.cpp:67:17: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   67 |     int mid = l + r >> 1;
      |               ~~^~~
fish2.cpp: In member function 'void IT2::build(long long int, long long int, long long int)':
fish2.cpp:86:19: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   86 |       int mid = l + r >> 1;
      |                 ~~^~~
fish2.cpp: In member function 'void IT2::up(long long int, long long int, long long int, long long int, long long int, long long int)':
fish2.cpp:110:17: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
  110 |     int mid = l + r >> 1;
      |               ~~^~~
fish2.cpp: In member function 'std::pair<long long int, long long int> IT2::get(long long int, long long int, long long int, long long int, long long int)':
fish2.cpp:120:17: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
  120 |     int mid = l + r >> 1;
      |               ~~^~~
fish2.cpp: In function 'std::vector<std::pair<long long int, long long int> > expand(long long int)':
fish2.cpp:145:21: warning: operation on '_r' may be undefined [-Wsequence-point]
  145 |     if (_r == 0) _r = _r = n + 1;
      |                  ~~~^~~~~~~~~~~~
fish2.cpp: In function 'int32_t main()':
fish2.cpp:172:12: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
  172 |     freopen("task.inp", "r", stdin);
      |     ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~
fish2.cpp:173:12: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
  173 |     freopen("task.out", "w", stdout);
      |     ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~
fish2.cpp:177:13: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
  177 |     freopen (task".inp", "r", stdin);
      |     ~~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~
fish2.cpp:178:13: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
  178 |     freopen (task".out", "w", stdout);
      |     ~~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~
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