## https://yukicoder.me/problems/no/1675 MAX_INT = 10 ** 18 # ソースコードの出典URL: https://github.com/LyricalMaestro/at_coder_snippets/blob/af67863a2fe7f16cce8325bbc531f89968bfa525/src/segment_tree.py 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 = [MAX_INT] * (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] = a end_index = self.size start_index = end_index // 2 while start_index >= 1: for i in range(start_index, end_index): self.array[i] = min(self.array[2 * i], self.array[2 * i + 1]) end_index = start_index start_index = end_index // 2 def _propagates(self, *ids): for i in reversed(ids): self._propagate(i) 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 + 1] = v self.array[2 * i] = v self.array[2 * i + 1] = v 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 set(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.array[R] = x if L & 1: self.lazy_array[L] = x self.array[L] = x 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.array[i] = min(self.array[2 * i], self.array[2 * i + 1]) def get_min(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 = MAX_INT while L < R: if R & 1: R -= 1 s = min(s, self.array[R]) if L & 1: s = min(s, self.array[L]) L += 1 L >>= 1; R >>= 1 return s def main(): N, Q = map(int, input().split()) lrb = [] for _ in range(Q): l, r, b = map(int, input().split()) lrb.append((l - 1, r -1 , b)) lrb.sort(key=lambda x: x[2]) lazy_seg_tree = LazySegmentTree([1] * N) for l, r, b in lrb: lazy_seg_tree.set(l, r + 1, b) for l, r, b in lrb: b0 = lazy_seg_tree.get_min(l, r + 1) if b0 != b: print(-1) return answer = [] for i in range(N): answer.append(lazy_seg_tree.get_min(i, i +1)) print(" ".join(map(str, answer))) if __name__ == "__main__": main()