class SegmentTreeDual(): def __init__(self, init, unitX, unitA, g, h): self.g = g # (X, A, size) -> X self.h = h # (A, A) -> A self.unitA = unitA if type(init) == int: self.n = init self.n = 1 << (self.n - 1).bit_length() self.X = [unitX] * (self.n * 2) self.size = [1] * (self.n * 2) else: self.n = len(init) self.n = 1 << (self.n - 1).bit_length() self.X = [unitX] * self.n + init + [unitX] * (self.n - len(init)) self.size = [0] * self.n + [1] * len(init) + [0] * (self.n - len(init)) for i in range(self.n - 1, 0, -1): self.size[i] = self.size[i*2] + self.size[i*2|1] self.A = [unitA] * (self.n * 2) def calc(self, i): return self.g(self.X[i], self.A[i], self.size[i]) def propagate(self, i): self.X[i] = self.g(self.X[i], self.A[i], self.size[i]) self.A[i*2] = self.h(self.A[i*2], self.A[i]) self.A[i*2|1] = self.h(self.A[i*2|1], self.A[i]) self.A[i] = self.unitA def propagate_above(self, i): H = i.bit_length() for h in range(H, 0, -1): self.propagate(i >> h) def propagate_all(self): for i in range(1, self.n): self.propagate(i) def getvalue(self, i): i += self.n self.propagate_above(i) return self.calc(i) def operate_range(self, l, r, a): l += self.n r += self.n l0, r0 = l // (l & -l), r // (r & -r) - 1 self.propagate_above(l0) self.propagate_above(r0) while l < r: if l & 1: self.A[l] = self.h(self.A[l], a) l += 1 if r & 1: r -= 1 self.A[r] = self.h(self.A[r], a) l >>= 1 r >>= 1 def debug(self): print("self.n =", self.n) deX = [] deA = [] deS = [] a, b = self.n, self.n * 2 while b: deX.append(self.X[a:b]) deA.append(self.A[a:b]) deS.append(self.size[a:b]) a, b = a//2, a print("--- debug ---") for d in deX[::-1]: print(d) print("--- ---") for d in deA[::-1]: print(d) print("--- ---") for d in deS[::-1]: print(d) print("--- ---") d, Q = map(int, input().split()) S = set() X = [] for _ in range(Q): a, b = map(int, input().split()) S.add(a) S.add(b + 1) S.add(a-1) S.add(b + 2) X.append((a, b+1)) I = sorted(list(S)) D = {a: i for i, a in enumerate(I)} Y = [] for a, b in X: Y.append((D[a], D[b])) N = len(I) inf = 1 << 18 + 1 g = lambda x, a, s: min(x, a) h = lambda a, b: min(a, b) unitA = inf unitX = inf st_min = SegmentTreeDual(N, unitX, unitA, g, h) g = lambda x, a, s: max(x, a) h = lambda a, b: max(a, b) unitA = -1 unitX = -1 st_max = SegmentTreeDual(N, unitX, unitA, g, h) ans = 0 for l, r in Y: mi = min(st_min.getvalue(l-1), l) ma = max(st_max.getvalue(r), r) ans = max(ans, I[ma] - I[mi]) st_min.operate_range(mi, ma, mi) st_max.operate_range(mi, ma, ma) print(ans)