# https://yukicoder.me/problems/no/3581 import math class LazySegmentTree: """ 非再帰版遅延セグメント木。 更新は「加法」、取得は「最大値」のもの限定。 取得のところの都合で取得演算子は可換になっている必要がある。 """ def __init__(self, init_array): n = 1 while n < len(init_array): n *= 2 self.size = n self.array = [[0, 0] for _ in range(2 * self.size)] self.lazy_array = [0 for _ in range(2 * self.size)] for i, a in enumerate(init_array): self.array[self.size + i][0] = 1 end_index = self.size start_index = end_index // 2 while start_index >= 1: for i in range(start_index, end_index): self._op(self.array[i], self.array[2 * i], self.array[2 * i + 1]) end_index = start_index start_index = end_index // 2 def _op(self, array, left , right): for j in range(2): array[j] = left[j] + right[j] def _propagates(self, *ids): for i in reversed(ids): self._propagate(i) def _swap(self, array): tmp = array[0] array[0] = array[1] array[1] = tmp def _propagate(self, i): v = self.lazy_array[i] if v == 0: return if i < self.size: self.lazy_array[2 * i] += v self.lazy_array[2 * i] %= 2 self.lazy_array[2 * i + 1] += v self.lazy_array[2 * i + 1] %= 2 self._swap(self.array[2 * i]) self._swap(self.array[2 * i + 1]) self.lazy_array[i] = 0 def _get_target_index(self, l, r): L = l + self.size; R = r + self.size lm = (L // (L & -L)) >> 1 rm = (R // (R & -R)) >> 1 while 0 < L and L < R: if R <= rm: yield R if L <= lm: yield L L >>= 1; R >>= 1 while L > 0: yield L L >>= 1 def add(self, l, r, x): # 2. 区間[l, r)のdata, lazyの値を更新 L = self.size + l; R = self.size + r *ids, = self._get_target_index(l, r) self._propagates(*ids) while L < R: if R & 1: R -= 1 self.lazy_array[R] += x self.lazy_array[R] %= 2 self._swap(self.array[R]) if L & 1: self.lazy_array[L] += x self.lazy_array[L] %= 2 self._swap(self.array[L]) L += 1 L >>= 1; R >>= 1 # 3. 伝搬させた区間について、ボトムアップにdataの値を伝搬する for i in ids: if i < self.size: self._op(self.array[i], self.array[2 * i], self.array[2 * i + 1]) def get_max(self, l, r): # 1. トップダウンにlazyの値を伝搬 self._propagates(*self._get_target_index(l, r)) L = self.size + l; R = self.size + r # 2. 区間[l, r)の最大値を求める s = [0, 0] while L < R: if R & 1: R -= 1 self._op(s, s, self.array[R]) if L & 1: self._op(s, s, self.array[L]) L += 1 L >>= 1; R >>= 1 return s def main(): Q = int(input()) ilr = [] max_q = 0 for _ in range(Q): i, L, R = map(int, input().split()) max_q = max(max_q, R + 1, i + 1) ilr.append((i, L, R)) lazy_seg_tree = LazySegmentTree([0] * max_q) for i, L, R in ilr: sqrt_i = int(math.sqrt(i)) lazy_seg_tree.add(1, sqrt_i + 1, 1) for l in range(1, sqrt_i + 1): d = i // l if not 1 <= d <= sqrt_i: lazy_seg_tree.add(d, d + 1, 1) s = lazy_seg_tree.get_max(L, R + 1) print(s[1]) if __name__ == "__main__": main()