結果
問題 | No.2074 Product is Square ? |
ユーザー |
|
提出日時 | 2022-09-16 22:44:28 |
言語 | PyPy3 (7.3.8) |
結果 |
AC
|
実行時間 | 562 ms / 2,000 ms |
コード長 | 2,673 bytes |
コンパイル時間 | 247 ms |
使用メモリ | 82,864 KB |
最終ジャッジ日時 | 2023-01-11 08:03:14 |
合計ジャッジ時間 | 11,096 ms |
ジャッジサーバーID (参考情報) |
judge14 / judge13 |
テストケース
テストケース表示入力 | 結果 | 実行時間 使用メモリ |
---|---|---|
testcase_00 | AC | 93 ms
76,596 KB |
testcase_01 | AC | 112 ms
82,540 KB |
testcase_02 | AC | 113 ms
82,500 KB |
testcase_03 | AC | 113 ms
82,284 KB |
testcase_04 | AC | 118 ms
82,828 KB |
testcase_05 | AC | 114 ms
82,768 KB |
testcase_06 | AC | 112 ms
82,536 KB |
testcase_07 | AC | 111 ms
82,524 KB |
testcase_08 | AC | 110 ms
82,656 KB |
testcase_09 | AC | 113 ms
82,596 KB |
testcase_10 | AC | 119 ms
82,848 KB |
testcase_11 | AC | 383 ms
82,536 KB |
testcase_12 | AC | 358 ms
82,544 KB |
testcase_13 | AC | 562 ms
82,584 KB |
testcase_14 | AC | 385 ms
82,556 KB |
testcase_15 | AC | 378 ms
82,716 KB |
testcase_16 | AC | 363 ms
82,536 KB |
testcase_17 | AC | 561 ms
82,608 KB |
testcase_18 | AC | 386 ms
82,672 KB |
testcase_19 | AC | 331 ms
82,716 KB |
testcase_20 | AC | 307 ms
82,636 KB |
testcase_21 | AC | 560 ms
82,652 KB |
testcase_22 | AC | 353 ms
82,728 KB |
testcase_23 | AC | 340 ms
82,568 KB |
testcase_24 | AC | 354 ms
82,644 KB |
testcase_25 | AC | 429 ms
82,588 KB |
testcase_26 | AC | 300 ms
82,576 KB |
testcase_27 | AC | 377 ms
82,864 KB |
testcase_28 | AC | 360 ms
82,800 KB |
testcase_29 | AC | 380 ms
82,704 KB |
testcase_30 | AC | 309 ms
82,652 KB |
testcase_31 | AC | 99 ms
81,616 KB |
testcase_32 | AC | 93 ms
76,540 KB |
testcase_33 | AC | 117 ms
82,296 KB |
ソースコード
import sys, random input = lambda : sys.stdin.readline().rstrip() write = lambda x: sys.stdout.write(x+"\n"); writef = lambda x: print("{:.12f}".format(x)) debug = lambda x: sys.stderr.write(x+"\n") YES="Yes"; NO="No"; pans = lambda v: print(YES if v else NO); INF=10**18 LI = lambda : list(map(int, input().split())); II=lambda : int(input()) def debug(_l_): for s in _l_.split(): print(f"{s}={eval(s)}", end=" ") print() def dlist(*l, fill=0): if len(l)==1: return [fill]*l[0] ll = l[1:] return [dlist(*ll, fill=fill) for _ in range(l[0])] def isqrt(n): """x*x<=nなる最大のx """ x,y = n, (n+1)//2 while y<x: x,y = y, (y + n//y) // 2 return x from math import gcd import random def is_prime(n): """miller_rabinによる素数判定 ※ 1は素数と扱う """ l = [2,3,5,7,11,13,17,19,23,29,31,37] if n==1 or n in l: return True d = n-1 s = 0 while d%2==0: s += 1 d //= 2 for a in l: v = pow(a,d,n) if v==1 or v==n-1: continue for _ in range(s): v = v*v % n if v==n-1: break else: return False return True def rho(n): """nを割り切る3以上の素数を返す(素数のときnを返す) """ if is_prime(n): return n while True: x = y = random.randint(1,n-1) g = 1 while g==1: x = (x*x - 3) % n y = (y*y - 3) % n y = (y*y - 3) % n g = gcd((x-y), n) if g>1: return rho(g) def factor(n): """高速な素因数分解 """ n0 = n if n in _d: return _d[n0] if n==1: return {} f = is_prime(n) if f: _d[n0] = {n:1} return {n:1} ans = {} while n%2==0: ans.setdefault(2, 0) ans[2] += 1 n //= 2 v = rho(n) while v!=n and n>1: ans.setdefault(v, 0) while n%v==0: n //= v ans[v] += 1 if n>3 and is_prime(n): ans.setdefault(n,0) ans[n] += 1 _d[n0] = ans return ans v = rho(n) if n>1: ans.setdefault(n, 0) ans[n] += 1 _d[n0] = ans return ans t = II() _d = {} for _ in range(t): n = int(input()) a = list(map(int, input().split())) from math import gcd for i in range(n): for j in range(i+1,n): g = gcd(a[i], a[j]) a[i] //= g a[j] //= g if isqrt(a[i])**2!=a[i]: ans = 0 break else: ans = 1 pans(ans)