結果
問題 | No.2218 Multiple LIS |
ユーザー | タコイモ |
提出日時 | 2023-02-17 21:51:57 |
言語 | PyPy3 (7.3.15) |
結果 |
AC
|
実行時間 | 447 ms / 3,000 ms |
コード長 | 3,961 bytes |
コンパイル時間 | 259 ms |
コンパイル使用メモリ | 82,560 KB |
実行使用メモリ | 90,784 KB |
最終ジャッジ日時 | 2024-07-19 13:05:22 |
合計ジャッジ時間 | 7,981 ms |
ジャッジサーバーID (参考情報) |
judge4 / judge1 |
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テストケース
テストケース表示入力 | 結果 | 実行時間 実行使用メモリ |
---|---|---|
testcase_00 | AC | 42 ms
55,296 KB |
testcase_01 | AC | 42 ms
55,040 KB |
testcase_02 | AC | 41 ms
55,296 KB |
testcase_03 | AC | 42 ms
54,784 KB |
testcase_04 | AC | 42 ms
54,528 KB |
testcase_05 | AC | 42 ms
55,168 KB |
testcase_06 | AC | 41 ms
54,528 KB |
testcase_07 | AC | 41 ms
55,040 KB |
testcase_08 | AC | 42 ms
54,784 KB |
testcase_09 | AC | 42 ms
55,040 KB |
testcase_10 | AC | 41 ms
54,784 KB |
testcase_11 | AC | 46 ms
55,168 KB |
testcase_12 | AC | 60 ms
65,536 KB |
testcase_13 | AC | 80 ms
73,216 KB |
testcase_14 | AC | 71 ms
72,832 KB |
testcase_15 | AC | 72 ms
74,112 KB |
testcase_16 | AC | 54 ms
62,208 KB |
testcase_17 | AC | 91 ms
77,056 KB |
testcase_18 | AC | 47 ms
55,296 KB |
testcase_19 | AC | 52 ms
62,540 KB |
testcase_20 | AC | 82 ms
71,808 KB |
testcase_21 | AC | 154 ms
78,960 KB |
testcase_22 | AC | 254 ms
85,108 KB |
testcase_23 | AC | 307 ms
87,476 KB |
testcase_24 | AC | 167 ms
80,516 KB |
testcase_25 | AC | 320 ms
87,332 KB |
testcase_26 | AC | 447 ms
90,240 KB |
testcase_27 | AC | 428 ms
90,496 KB |
testcase_28 | AC | 443 ms
90,112 KB |
testcase_29 | AC | 445 ms
90,688 KB |
testcase_30 | AC | 429 ms
90,240 KB |
testcase_31 | AC | 202 ms
89,984 KB |
testcase_32 | AC | 210 ms
90,172 KB |
testcase_33 | AC | 199 ms
89,932 KB |
testcase_34 | AC | 207 ms
89,656 KB |
testcase_35 | AC | 203 ms
89,960 KB |
testcase_36 | AC | 81 ms
88,984 KB |
testcase_37 | AC | 315 ms
90,784 KB |
testcase_38 | AC | 40 ms
55,168 KB |
testcase_39 | AC | 45 ms
55,424 KB |
testcase_40 | AC | 255 ms
90,624 KB |
testcase_41 | AC | 253 ms
90,448 KB |
ソースコード
import sys #sys.setrecursionlimit(500000) def I(): return int(sys.stdin.readline().rstrip()) def MI(): return map(int,sys.stdin.readline().rstrip().split()) def TI(): return tuple(map(int,sys.stdin.readline().rstrip().split())) def LI(): return list(map(int,sys.stdin.readline().rstrip().split())) def S(): return sys.stdin.readline().rstrip() def LS(): return list(sys.stdin.readline().rstrip()) #for i, pi in enumerate(p): from collections import defaultdict,deque import bisect import itertools dic = defaultdict(int) d = deque() YN = ['No','Yes'] def gcd(a, b): while b: a, b = b, a % b return a def isPrimeMR(n): d = n - 1 d = d // (d & -d) L = [2, 7, 61] if n < 1<<32 else [2, 3, 5, 7, 11, 13, 17] if n < 1<<48 else [2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37] for a in L: t = d y = pow(a, t, n) if y == 1: continue while y != n - 1: y = y * y % n if y == 1 or t == n - 1: return 0 t <<= 1 return 1 def findFactorRho(n): m = 1 << n.bit_length() // 8 for c in range(1, 99): f = lambda x: (x * x + c) % n y, r, q, g = 2, 1, 1, 1 while g == 1: x = y for i in range(r): y = f(y) k = 0 while k < r and g == 1: ys = y for i in range(min(m, r - k)): y = f(y) q = q * abs(x - y) % n g = gcd(q, n) k += m r <<= 1 if g == n: g = 1 while g == 1: ys = f(ys) g = gcd(abs(x - ys), n) if g < n: if isPrimeMR(g): return g elif isPrimeMR(n // g): return n // g return findFactorRho(g) def primeFactor(n): i = 2 ret = {} rhoFlg = 0 while i * i <= n: k = 0 while n % i == 0: n //= i k += 1 if k: ret[i] = k i += i % 2 + (3 if i % 3 == 1 else 1) if i == 101 and n >= 2 ** 20: while n > 1: if isPrimeMR(n): ret[n], n = 1, 1 else: rhoFlg = 1 j = findFactorRho(n) k = 0 while n % j == 0: n //= j k += 1 ret[j] = k if n > 1: ret[n] = 1 if rhoFlg: ret = {x: ret[x] for x in sorted(ret)} return ret def divisors(N): #約数全列挙 pf = primeFactor(N) ret = [1] for p in pf: ret_prev = ret ret = [] for i in range(pf[p]+1): for r in ret_prev: ret.append(r * (p ** i)) return sorted(ret) def divisors_pf(pf): ret = [1] for p in pf: ret_prev = ret ret = [] for i in range(pf[p]+1): for r in ret_prev: ret.append(r * (p ** i)) return sorted(ret) def isPrime(n): if n in {2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97}: return 1 if n <= 100: return 0 for i in [2, 3, 5, 7, 11, 13, 17, 19, 23, 29]: if n % i == 0: return 0 return isPrimeMR(n) def findPrime(n): if n <= 2: return 2 i = n | 1 while 1: if isPrime(i): return i i += 2 def findNttFriendlyPrime(n, k, m=1): a = (n >> k) + 1 i = (a << k) + 1 while 1: if (i - 1) % m == 0: if isPrime(i): g = primitiveRoot(i) ig = pow(g, i - 2, i) return (i, g, ig) # p, g, invg i += 1 << k N = I() A = LI() dp = defaultdict(int) ans = 1 for i in range(N): ai = A[i] pf = divisors(ai) for kk in range(len(pf)-1,-1,-1): j = pf[kk] if dp[j]: k = dp[j]+1 ans = max(ans,k) dp[ai] = max(k,dp[ai]) dp[ai] = max(1,dp[ai]) #print(dp) print(ans)