import collections #import time #start = time.time() def solve(N, As): As = compress(As) if len(As) < 3: return 0 if len(set(As)) < 7: return solve_small(As) LH = [set([float('inf')])] maxLH = [float('inf')] LHprev = collections.defaultdict(int) LHrank = collections.defaultdict(int) LHprev[float('inf')] = -float('inf') LHrank[float('inf')] = 0 HL = [set([-float('inf')])] minHL = [-float('inf')] HLprev = collections.defaultdict(int) HLrank = collections.defaultdict(int) HLprev[-float('inf')] = float('inf') HLrank[-float('inf')] = 0 for a in As: update_data(a, True, LH, maxLH, LHprev, HL, minHL, HLrank, HLprev) update_data(a, False, HL, minHL, HLprev, LH, maxLH, LHrank, LHprev) return max(len(LH), len(HL)) - 1 def update_data(a, dLOW, LH, maxLH, LHprev, HL, minHL, HLrank, HLprev): '''dLOW: True -> a をHL に追加しようとしている。 False -> a をLH に追加しようとそている。 LH, HL 等は、dLOW = True の場合の変数名。呼び出し側で適宜入れ替える。 ''' LHmax = len(LH) - 1 for k in range(LHmax, - 1, -1): if k + 1 < HLrank[a]: break if (dLOW and maxLH[k] <= a) or (not dLOW and maxLH[k] >= a): continue for b in LH[k]: if (dLOW and b <= a) or ((not dLOW) and b >= a) or LHprev[b] == a: continue if HLrank[a] == k + 1: if (dLOW and a < minHL[k + 1]) or ((not dLOW) and a > minHL[k + 1]): minHL[k + 1] = a if HLprev[a] != b: HLprev[a] = -1 break else: HLrank[a] = k + 1 HLprev[a] = b lenHL = len(HL) if k == lenHL: HL.append(set()) HL.append(set([a])) dummy = float('inf') if dLOW else -float('inf') minHL.append(dummy) minHL.append(a) elif k + 1 == lenHL: HL.append(set([a])) minHL.append(a) elif k + 1 < lenHL: HL[k + 1].add(a) if (dLOW and a < minHL[k + 1]) or ((not dLOW) and a > minHL[k + 1]): minHL[k + 1] = a def compress(As): Bs = [As[0]] b = As[0] for a in As[1:]: if a != b: Bs.append(a) b = a return Bs def solve_small(As): dp = collections.defaultdict(int) dp[float('inf'), -float('inf')] = 0 dp[-float('inf'), float('inf')] = 0 for a in As: for (b, c), val in list(dp.items()): if c != a and ((a > b and b < c) or (a < b and b > c)): dp[a, b] = max(val + 1, dp[a, b]) return max(dp.values()) N = int(input()) As = list(map(int, input().split())) ans = solve(N, As) if ans < 3: print(0) else: print(ans)