input
stringlengths
20
127k
target
stringlengths
20
119k
problem_id
stringlengths
6
6
def F(a, b): def _(n): c = 0 while n: n //= 10 c += 1 return c return _(max(a, b)) N = int(eval(input())) ans = float('inf') for a in range(1, N + 1): b = N // a if a > b: break if b != N / a: continue ans = min(ans, F(a, b)) print(ans)
def F(a, b): # def _(n): # c = 0 # while n: # n //= 10 # c += 1 # return c # return _(max(a, b)) return len(str(max(a, b))) N = int(eval(input())) ans = float('inf') n = int(N**0.5) + 1 for a in range(1, n): b = N // a if b != N / a: continue ans = min(ans, F(a, b)) print(ans)
p03775
def make_divisors(n): divisors = [] for i in range(1, int(n**0.5)+1): if n % i == 0: divisors.append(i) if i != n // i: divisors.append(n//i) divisors.sort() return divisors N = int(eval(input())) answer = float('inf') max = 0 len_div = len(make_divisors(N)) if len_div % 2 == 0: for i in range(len_div // 2): A_len = len(str(make_divisors(N)[i])) B_len = len(str(make_divisors(N)[len_div - i - 1])) if A_len <= B_len: max = B_len else: max = A_len # print(A_len, B_len, max) else: for i in range(len_div // 2 + 1): A_len = len(str(make_divisors(N)[i])) B_len = len(str(make_divisors(N)[len_div - i - 1])) # print(A_len, B_len) if A_len <= B_len: max = B_len else: max = A_len # print(A_len, B_len, max) print(max)
def make_divisors(n): divisors = [] for i in range(1, int(n**0.5)+1): if n % i == 0: divisors.append(i) if i != n // i: divisors.append(n//i) divisors.sort() return divisors N = int(eval(input())) answer = 0 len_div = len(make_divisors(N)) # print(make_divisors(N)) # print(make_divisors(N)) # print(make_divisors(N)) # print(len(make_divisors(N))) # print(make_divisors(N)[len_div // 2]) if len_div % 2 == 0: A_len = len(str(make_divisors(N)[len_div // 2 - 1])) B_len = len(str(make_divisors(N)[len_div // 2])) if A_len <= B_len: answer = B_len else: answer = A_len else: answer = len(str(make_divisors(N)[len_div // 2])) # print(make_divisors(N)[len_div // 2]) print(answer)
p03775
import math N = int(eval(input())) div = [] for i in range(1, int(math.sqrt(N))+1): if N % i == 0: div.append((i, N//i)) ans = 30 for elem in div: _, a = elem cnt = 0 while a > 0: a //= 10 cnt += 1 ans = min(ans, cnt) print(ans)
import math N = int(eval(input())) div = [] for i in range(1, int(math.sqrt(N))+1): if N % i == 0: div.append((i, N//i)) ans = 30 for elem in div: _, a = elem res = len(str(a)) ans = min(ans, res) print(ans)
p03775
import sys import math N = int(eval(input())) for n in range(int(math.sqrt(N)),N+1): if N%n==0: print((max(int(math.log10(n)), int(math.log10(N//n)))+1)) sys.exit()
import sys import math N = int(eval(input())) for n in range(int(math.sqrt(N))+1,0,-1): if N%n==0: print((max(int(math.log10(n)), int(math.log10(N//n)))+1)) sys.exit()
p03775
def main(): N = int(eval(input())) def trial_division(n): divs = [] for i in range(1, int(n**0.5)+1): if n % i == 0 and i != n//i: divs.append((i, n//i)) elif n % i == 0 and i == n//i: divs.append((i, i)) return divs ans = 10**13 divs = trial_division(N) for a, b in divs: ans = min(ans, max(len(str(a)), len(str(b)))) print(ans) if __name__ == '__main__': main()
def main(): N = int(eval(input())) def enum_divisors(n): ans = 10**12 for i in range(1, n+1): if i*i > n: break if n % i == 0: v1 = str(i) v2 = str(n//i) ans = min(ans, max(len(v1), len(v2))) return ans print((enum_divisors(N))) if __name__ == '__main__': main()
p03775
def f(a, b): tmpA, tmpB = a, b countA = 0 while tmpA: tmpA //= 10 countA += 1 digitA = countA countB = 0 while tmpB: tmpB //= 10 countB += 1 digitB = countB return max(digitA, digitB) n = int(eval(input())) ans = 11 for a in range(1, int(n ** 0.5) + 1): b = n / a if f(a, b) < ans and n % a == 0: ans = f(a, b) print(ans)
def f(a, b): return max(len(str(a)), len(str(b))) n = int(eval(input())) ans = 11 for a in range(1, int(n ** 0.5) + 1): b = n // a if n % a == 0 and f(a, b) < ans: ans = f(a, b) print(ans)
p03775
n=int(eval(input())) for a in range(1,n**2+1): if n%a==0: b=n//a sa=str(a) sb=str(b) if a<=b: ans=len(sb) else: break print(ans)
n=int(eval(input())) for a in range(1,int(n**0.5+1)): if n%a==0: b=n//a sa=str(a) sb=str(b) if a<=b: ans=len(sb) else: break print(ans)
p03775
def calc_digit(n): d = 0 while n > 0: d += 1 n //= 10 return d n = int(eval(input())) temp = -1 ans = 12 i = 1 while i * i <= n: if n % i == 0: temp = max(calc_digit(i), calc_digit(n // i)) ans = min(temp,ans) i += 1 print(ans)
def count_digit(n): d = 0 while n > 0: n //= 10 d += 1 return d n = int(eval(input())) i = 1 ans = 11 while i * i <= n: if n % i == 0: temp = max(count_digit(i), count_digit(n // i)) if ans > temp: ans = temp i += 1 print(ans)
p03775
import math N=int(eval(input())) for i in range(math.ceil(N**0.5),N+1): if N%i==0:print((len(str(i))));break
N=int(eval(input())) print((min(len(str(N//i))for i in range(1,int(N**.5)+1)if N%i<1)))
p03775
N = int(eval(input())) ans = N def F(a,b): return max([len(str(i))for i in [a,b]]) for i in range(1,N+1): if i*i>N:break if N%i==0: a,b = i,N//i ans = min(ans,F(a,b)) print(ans)
N = int(eval(input())) def f(a,b): res = 0 for i in [a,b]: res = max(len(str(i)),res) return res ans = float("inf") for a in range(1,N+1): if a*a>N:break if N%a==0: ans = min(ans, f(a,N//a)) print(ans)
p03775
def calc_digits(num): ans = 1 while True: if num // 10 == 0: break num //= 10 ans += 1 return ans def main(): N = int(eval(input())) n = int(N ** 0.5) ans = 10 ** 10 for A in range(1, n + 1): if N % A == 0: B = int(N / A) else: continue A_digits = calc_digits(A) B_digits = calc_digits(B) max_digits = max(A_digits, B_digits) if max_digits < ans: ans = max_digits print(ans) if __name__ == "__main__": main()
def calc_digits(num): ans = 1 while True: if num // 10 == 0: break num //= 10 ans += 1 return ans def main(): N = int(eval(input())) ans = 10 ** 10 for A in range(1, int(N ** 0.5) + 1): if N % A != 0: continue B = N // A A_digits = calc_digits(A) B_digits = calc_digits(B) max_digits = max(A_digits, B_digits) if max_digits < ans: ans = max_digits print(ans) if __name__ == "__main__": main()
p03775
N = int(eval(input())) i = int(N**(1/2)) while N%i != 0: i += 1 print((len(str(i))))
N = int(eval(input())) i = int(N**(1/2)) while N%i != 0: i -= 1 print((len(str(N//i))))
p03775
import math n=int(eval(input())) l=[] for i in range(1,int(math.sqrt(n))+2): if n%i==0: l+=[max(len(str(i)),len(str(n//i)))] print((min(l)))
n=int(eval(input())) l=[] for i in range(1,int(n**0.5)+3): if n%i==0: l.append(max(len(str(i)),len(str(n//i)))) print((min(l)))
p03775
import math n=int(eval(input())) ceil=math.ceil(math.sqrt(n)) def f(a,b): return max(len(str(a)),len(str(b))) tmp=10**9 for a in range(1,ceil+1): if n%a==0: b=n//a tmp=min(tmp,f(a,b)) print(tmp)
n=int(eval(input())) def f(a,b): a=len(str(a)) b=len(str(b)) return max(a,b) ans=10**9 for i in range(1,int(n**0.5)+1): if n%i==0: ans=min(ans,f(i,n//i)) print(ans)
p03775
import math n = int(eval(input())) ans = 10**9 for i in range(1,int(math.sqrt(n))+2): if n % i == 0: ans = max(len(str(i)),len(str(n//i))) print(ans)
import sys readline = sys.stdin.buffer.readline def even(n): return 1 if n%2==0 else 0 n = int(readline()) def func(a,b): return max(len(str(a)),len(str(b))) ans = 10**10 for i in range(1,int(n**0.5)+1): if n%i == 0: ans = min(ans,func(i,n//i)) print(ans)
p03775
n=int(eval(input())) ans=len(str(n)) from math import floor,sqrt s=floor(sqrt(n)) f=[] for i in range(2,s+1): if n%i==0: while True: f.append(i) n//=i if n%i!=0: break if n!=1: f.append(n) l=len(f) iter=2**l-1 for i in range(2**l): iter+=1 liter=str(bin(iter))[3:] a,b=1,1 for j in range(l): if liter[j]=="0": a*=f[j] else: b*=f[j] t=max(len(str(a)),len(str(b))) if t<ans: ans=t print(ans)
n=int(eval(input())) ans=len(str(n)) from math import floor,sqrt s=floor(sqrt(n)) f=[] ans=len(str(n)) for i in range(2,s+1): if n%i==0: t=max(len(str(i)),len(str(n//i))) if t<ans: ans=t print(ans)
p03775
import math n = int(eval(input())) i = int(math.sqrt(n)) while i<=n: if n%i==0: print((len(str(i)))) break i+=1
import math n = int(eval(input())) i = int(math.sqrt(n)) while i>0: if n%i==0: print((len(str(int(n/i))))) break i-=1
p03775
import math def main(): #infile = open("compprog.txt", mode="r") n = int(eval(input())) res = f(1, n) i = 2 while i <= math.sqrt(n): if n % i == 0: this_f = f(i, n // i) res = this_f if this_f < res else res i += 1 print(res) #infile.close() def f(a, b): return max(len(str(a)), len(str(b))) if __name__ == "__main__": main()
import math def main(): n = int(eval(input())) res = f(1, n) for i in range(1, int(math.sqrt(n)) + 1): if n % i == 0: res = min(res, f(i, n // i)) print(res) def f(a, b): return max(len(str(a)), len(str(b))) if __name__ == "__main__": main()
p03775
N=int(eval(input())) import math sqN=math.sqrt(N) sqN=math.floor(sqN) i=sqN while N%i!=0: i-=1 a=math.floor(math.log10(i))+1 b=math.floor(math.log10(N//i))+1 candA=max(a,b) i=sqN while N%i!=0: i+=1 a=math.floor(math.log10(i))+1 b=math.floor(math.log10(N//i))+1 candB=max(a,b) print((min(candA,candB)))
N=int(eval(input())) import math sqN=math.sqrt(N) sqN=math.ceil(sqN) i=1 ans=float('inf') def digits(n): return(math.floor(math.log10(n))+1) while i <= sqN: q,r=divmod(N,i) if r==0: ans=min(ans,max(digits(i),digits(q))) i+=1 print(ans)
p03775
N = int(eval(input())) def factor(n): factList = [] i = 1 while i * i <= n: if n % i == 0: factList.append(i) factList.append(n // i) i += 1 factList.sort() return factList fact = factor(N) ans = float('inf') for i in range(len(fact)): f = max(len(str(fact[i])), len(str(fact[-1 - i]))) ans = min(ans, f) print(ans)
N = int(eval(input())) # 約数の全列挙 def divisors(n): divisors = [] R = int(n**(0.5)) + 1 for i in range(1, R): if n % i == 0: divisors.append(i) if i != n // i: divisors.append(n // i) # divisors.sort(reverse=True) # ソート return divisors ans = len(str(N)) for a in divisors(N): b = N // a ans = min(ans, max(len(str(a)), len(str(b)))) print(ans)
p03775
N=int(eval(input())) for i in range(int(N**0.5),N+1): if N%i==0: print((len(str(i)))) exit(0)
N=int(eval(input())) for i in range(int(N ** 0.5 + 1),-1,-1): if N % i == 0: print((len(str(N // i)))) exit(0)
p03775
N = int(eval(input())) ans1 = 0 A = '1' B = str(N) if len(A)>=len(B): ans = len(A) else: ans = len(B) for i in range(2,N+1): A = i if N%A==0: B = int(N / A) A = str(A) B = str(B) #print(A, B) if len(A)>=len(B): ans1 = len(A) else: ans1 = len(B) if ans1 <= ans: ans = ans1 if len(str(A))==len(str(B)): break print(ans)
import math N = int(eval(input())) ans1 = 0 A = '1' B = str(N) if len(A)>=len(B): ans = len(A) else: ans = len(B) for i in range(2,int(math.sqrt(N))+1): A = i if N%A==0: B = int(N / A) A = str(A) B = str(B) if len(A)>=len(B): ans1 = len(A) else: ans1 = len(B) if ans1 <= ans: ans = ans1 if len(str(A))==len(str(B)): break print(ans)
p03775
import math N = int(eval(input())) for n in range(int(math.sqrt(N)), N+1): if N % n == 0: print((int(math.log10(n)) + 1)) exit() print((int(math.log10(N))))
import math N = int(eval(input())) ans = int(math.log10(N)) for n in range(1, int(math.sqrt(N))+1): if N % n == 0: ans = int(math.log10(N // n)) + 1 print(ans)
p03775
n=int(eval(input())) halfn=int(2+n**0.5) for i in range(1,halfn): if n%i==0: memo = i ans = max(len(str(n//memo)), len(str(memo))) print(ans)
N = int(eval(input())) ans = 0 for i in range(1,int(N**0.5)+1): if N%i==0: ans = i ans_len = max(len(str(ans)), len(str(N//ans))) print(ans_len)
p03775
def F(a,b): a=len(str(a)) b=len(str(b))-2#float型のため return a if a>b else b n=int(eval(input())) o=[] k=100000000 c=0 m=10000000000 for i in range(1,n): if c>0: c-=1 continue s=n/i if s.is_integer(): k=F(i,s) o.append(k) if k>m: break m=k i=int("1"+"0"*len(str(i)))-i#iを次の位にする try: print((min(o))) except: print((1))
from math import sqrt def F(A,B): A=len(str(A)) B=len(str(B))-2 return A if A>B else B n=int(eval(input())) o=[] for a in range(1,int(sqrt(n))+1): b=n/a if b.is_integer(): o.append(F(a,b)) print((o[-1]))
p03775
# -*- coding: utf-8 -*- # モジュールのインポート import math # 標準入力を取得 N = int(eval(input())) def F(A: int, B: int) -> int: return max(len(str(A)), len(str(B))) # 求解処理 ans = len(str(N)) for a in range(1, int(math.sqrt(N)) + 1): if N % a != 0: continue b = int(N / a) ans = min(ans, F(a, b)) # 結果出力 print(ans)
# -*- coding: utf-8 -*- # モジュールのインポート import math def get_input() -> int: """ 標準入力を取得する. Returns:\n int: 標準入力 """ N = int(eval(input())) return N def F(A: int, B: int) -> int: """ 10進表記における、Aの桁数とBの桁数のうち大きい方を返す. Args:\n A (int): 整数 B (int): 整数 Returns:\n int: 10進表記における、Aの桁数とBの桁数のうち大きい方 """ digits_A = len(str(A)) digits_B = len(str(B)) return max(digits_A, digits_B) def main(N: int) -> None: """ メイン処理. Args:\n N (int): 整数(1 <= N <= 10^10) """ # 求解処理 # 全探索を行い、F(A, B)の最小値を求める # a <= bとして、sqrt(N)まで探索を行うことで、時間を節約する ans = len(str(N)) # 初期値として、Nの桁数を入力 for a in range(1, int(math.sqrt(N)) + 1): # bが整数でない場合、何もしない if N % a != 0: continue # bが整数である場合、a, bのうち桁数が大きい方を求める b = int(N / a) ans = min(ans, F(a, b)) # 結果出力 print(ans) if __name__ == "__main__": # 標準入力を取得 N = get_input() # メイン処理 main(N)
p03775
import math n = int(eval(input())) ans = float('inf') i = 1 while i <= math.sqrt(n): if n % i == 0: a = int(len(str(i))) b = int(len(str(n // i))) ans = min(ans,max(a,b)) i += 1 print(ans)
n = int(eval(input())) i = 1 ans = 0 while i * i <= n: if n % i == 0: ans = max(len(str(i)), len(str(n // i))) i += 1 print(ans)
p03775
N = int(eval(input())) ans = 100000 for i in range(1, 2 * 10 ** 7): if N % i == 0: ans = min(ans, max(len(str(i)), len(str(N // i)))) print(ans)
N = int(eval(input())) ans = 100000 for i in range(1, 13 * 10 ** 6): if N % i == 0: ans = min(ans, max(len(str(i)), len(str(N // i)))) print(ans)
p03775
def resolve(): n = int(eval(input())) arr = [] for i in range(1, int(n**0.5+1)): if n % i == 0: arr.append(max(i, n/i)) print((len(str(int(min(arr)))))) resolve()
def div(n): a = [] for i in range(1, int(n**0.5+1)): if n % i == 0: a.append(i) a.append(n//i) return sorted(a) def resolve(): n = int(eval(input())) d = div(n) v = len(str(max(d[len(d)//2], d[len(d)//2-1]))) print(v) resolve()
p03775
n = int(eval(input())) f = float('inf') for a in range(1, int(n**0.5)+1): if n % a == 0: b = n // a x = max(len(str(a)), len(str(b))) if f > x: f = x print(x)
n = int(eval(input())) sqrt = round(n ** 0.5) + 1 f_min = float('inf') for i in range(1, sqrt + 1): if not n % i: a = str(i) b = str(n // i) f = max(len(a), len(b)) f_min = min(f_min, f) print(f_min)
p03775
import math n = int(eval(input())) def is_prime(n): if n == 1: return False for i in range(2,int(n**0.5)+1): if n % i == 0: return False return True if is_prime(n): print((len(str(n)))) exit() rtn = math.floor(math.sqrt(n)) for i in range(rtn,n+1): if n % i == 0: print((len(str(i)))) exit()
import math n = int(eval(input())) # def is_prime(n): # if n == 1: # return False # for i in range(2,int(n**0.5)+1): # if n % i == 0: # return False # return True # if is_prime(n): # print(len(str(n))) # exit() # rtn = math.floor(math.sqrt(n)) # for i in range(rtn,n+1): # if n % i == 0: # print(len(str(i))) # exit() # n = a * b = b * aでなのでa<=bのaの方を求めてその時のbの桁数出力すれば間に合う。 # 上記のようにbの方から求めるとぎり間に合わない。 rtn = math.ceil(math.sqrt(n)) for i in reversed(list(range(1, rtn + 1))): if n % i == 0: b = n // i #求めるのはa(=i)ではなくbの方 print((len(str(b)))) exit()
p03775
from math import sqrt def F(t): return max(len(str(t[0])), len(str(t[1]))) N = int(eval(input())) m = list(map(F,[(r,int(N / r)) for r in range(2, int(sqrt(N)) + 1) if N % r == 0])) print((min(m) if len(m) != 0 else len(str(N))))
N = int(eval(input())) m = list([max(len(str(t[0])), len(str(t[1]))) for t in [(r,int(N / r)) for r in range(2, int(N ** 0.5) + 2) if N % r == 0]]) print((min(m) if len(m) != 0 else len(str(N))))
p03775
n = int(eval(input())) def make_divisors(n): divisors = [] for i in range(1, int(n**0.5)+1): if n % i ==0: divisors.append(i) return divisors def digit(n): for i in range(15): if n>=10**i and n<10**(i+1): return i+1 break list = make_divisors(n) ans = 2345 for i in list: if max(digit(i), digit(n/i)) < ans: ans = max(digit(i), digit(n/i)) print(ans)
n = int(eval(input())) def make_divisors(n): divisors = [] for i in range(1, int(n**0.5)+1): if n % i ==0: divisors.append(i) return divisors def digit(n): for i in range(11): if n>=10**i and n<10**(i+1): return i+1 break list = make_divisors(n) ans = 12 for i in list: if max(digit(i), digit(n/i)) < ans: ans = max(digit(i), digit(n/i)) print(ans)
p03775
import math N = int(eval(input())) n = int(math.sqrt(N)) while n<= N: if(N % n == 0): break else: n += 1 print((len(str(n))))
import math N = int(eval(input())) n = 1 divisor = [] while n*n<= N: if(N % n == 0): divisor.append(n) n+= 1 max_divisor = divisor[-1] print((len(str(N// max_divisor))))
p03775
def make_divisors(n): ans = float("inf") for i in range(1, int(n ** 0.5) + 1): if n % i == 0: div1 = i div2 = n // i res = max(len(str(div1)), len(str(div2))) ans = min(ans, res) return ans if __name__ == '__main__': n = int(eval(input())) print((make_divisors(n)))
import sys sys.setrecursionlimit(10 ** 7) f_inf = float('inf') mod = 10 ** 9 + 7 def resolve(): n = int(eval(input())) def f(a, b): return max(len(str(a)), len(str(b))) res = f_inf for a in range(1, int(pow(n, 0.5)) + 1): if n % a == 0: b = n // a t = f(a, b) res = min(res, t) print(res) if __name__ == '__main__': resolve()
p03775
n = int(eval(input())) start = int(n**0.5 + 1) for a in range(start,0,-1): if n%a == 0: b = n//a print((len(str(b)))) exit()
n = int(eval(input())) start = int(n**0.5) for i in range(start,0,-1): if n%i == 0: s = str(n//i) keta = len(s) print(keta) break
p03775
N = int(eval(input())) def F(a, b): return max(len(str(a)), len(str(b))) ans = 100 i = 1 while i <= N**0.5: if N%i == 0: ans = min(ans, F(i, N//i)) i += 1 print(ans)
N = int(eval(input())) def f(a, b): return max(len(str(a)), len(str(b))) ans = N i = 1 while i <= N**0.5: if N%i == 0: ans = min(ans, f(i, N//i)) i += 1 print(ans)
p03775
N = int(eval(input())) # F(A, B)を定義する def F(A, B): A = str(A) B = str(B) if len(A) >= len(B): return len(A) else: return len(B) minimumList = [] for a in range(1, int(N**0.5) + 1): if N % a == 0: b = N // a minimumList.append(F(a, b)) print((min(minimumList)))
N = int(eval(input())) # F(A, B)を定義する def F(A, B): A = str(A) B = str(B) if len(A) >= len(B): return len(A) else: return len(B) minimumList = [] for a in range(1, int(N**0.5) + 1): if N % a == 0: b = N // a # 商 minimumList.append(F(a, b)) print((min(minimumList)))
p03775
N = int(eval(input())) for i in range(0,int(N**0.5)): if N % (int(N**0.5) - i) == 0: A = (int(N**0.5) - i) B = N//(int(N**0.5) - i) break print((len(str(B))))
n = int(eval(input())) ans = 10**100 for a in range(1,int(n**(0.5))+2): if n%a == 0: b = n//a f = len(str(b)) ans = min(ans,f) print(ans)
p03775
def m_c_d(x, y): if x == 0: return y elif y == 0: return x else: return m_c_d(y, x % y) a = int(eval(input())) b = 0 for i in range(int(a ** 0.5 + 1), 1, -1): b = max(m_c_d(a, i), b) print((max(len(str(b)), len(str(a // b)))))
a = int(eval(input())) b = 10 ** 10 for i in range(1, int(a ** 0.5) + 1): if a % i == 0: b = min(b, max(len(str(i)), len(str(a // i)))) print(b)
p03775
num = int(eval(input())) def function(a,b): return (max(len(str(a)),len(str(b)))) d = len(str(num)) for i in range(1,num+1): if num % i == 0: b = int(num // i) c = function(i,b) if d >= c: d = c else: print(d) exit() print(d)
num = int(eval(input())) digits = len(str(num)) ans = digits for i in range(1,10 ** (digits // 2 + 1)): if num % i == 0: target = max(len(str(i)), len(str(num//i))) if ans >= target: ans = target else: print(ans) exit() print(ans)
p03775
num = int(eval(input())) digits = len(str(num)) ans = digits for i in range(1,10 ** (digits // 2 + 1)): if num % i == 0: target = max(len(str(i)), len(str(num//i))) if ans >= target: ans = target else: print(ans) exit() print(ans)
n=int(eval(input())) x=int(n**0.5) for i in range(x): if n%(x-i)==0: print((len(str(n//(x-i))))) break
p03775
n = int(eval(input())) dv = [] dved = [] for i in range(1,n//2): if n%i==0 and not(i in dved): dv.append(i) dved.append(n//i) if i in dved: break print((len(str(dved[-1]))if len(dv)>0 else 1))
import math n = int(eval(input())) dv = [] dved = [] for i in range(1,int(math.sqrt(n)+1)): if n%i==0 and not(i in dved): dv.append(i) dved.append(n//i) if i in dved: break print((len(str(dved[-1]))if len(dv)>0 else 1))
p03775
# 入力 : 自然数 ex) 12 # 出力 : 約数リスト ex) [2, 2, 3] def factorization(n): R = int(n) s = 0 L = [] div = 2 while s == 0: for i in range(div, R + 1): if n % i == 0: n = n / i div = i if n == 1: s = 1 L.append(i) break return L n = int(eval(input())) if n == 1: print((1)) exit() divs = factorization(n) N = [i for i in divs] # N = bit探索する桁数 maxDigit = n # Nの要素の全組み合わせが出力 for i in range(1, 1 << len(N)): output = [] nonout = [] outNum = 1 nonOutNum = 1 for j in range(len(N)): if ((i >> j) & 1) == 1: output.append(N[j]) # このjが今回探索するindexの1つ outNum *= N[j] else: nonout.append(N[j]) nonOutNum *= N[j] # print("{} vs {}".format(outNum, nonOutNum)) digitOut = 0 digitNonOut = 0 while outNum > 0: digitOut += 1 outNum = int(outNum / 10) while nonOutNum > 0: digitNonOut += 1 nonOutNum = int(nonOutNum / 10) if max(digitOut, digitNonOut) < maxDigit: maxDigit = max(digitOut, digitNonOut) print(maxDigit)
# 入力 : 自然数 ex) 12 # 出力 : 約数リスト ex) [(2,2),(3,1)] def factorize(n): fct = [] # prime factor b, e = 2, 0 # base, exponent while b * b <= n: while n % b == 0: n = n // b e = e + 1 if e > 0: fct.append((b, e)) b, e = b + 1, 0 if n > 1: fct.append((n, 1)) return fct def divisorize(fct): b, e = fct.pop() # base, exponent pre_div = divisorize(fct) if fct else [[]] suf_div = [[(b, k)] for k in range(e + 1)] return [pre + suf for pre in pre_div for suf in suf_div] def num(fct): a = 1 for base, exponent in fct: a = a * base ** exponent return a n = int(eval(input())) if n == 1: print((1)) exit() fct = factorize(n) maxDigit = n for div in divisorize(fct): outNum = num(div) nonOutNum = int(n/outNum) digitOut = 0 digitNonOut = 0 while outNum > 0: digitOut += 1 outNum = int(outNum / 10) while nonOutNum > 0: digitNonOut += 1 nonOutNum = int(nonOutNum / 10) if max(digitOut, digitNonOut) < maxDigit: maxDigit = max(digitOut, digitNonOut) print(maxDigit)
p03775
import math N = int(eval(input())) ans = 10 for i in range(1, math.floor(math.sqrt(N))+1): if N % i == 0: ans = min(ans, len(str(max(N // i, i)))) print(ans)
N = int(eval(input())) ans = 10 for i in range(1, int(N ** 0.5) + 1): if N % i == 0: ans = min(ans, len(str(max(N // i, i)))) print(ans)
p03775
N = int(eval(input())) def gk(n): ans = 0 while n: ans += 1 n//=10 return ans if int(N**(1/2)) ** 2 == N: print(( gk( int(N**(1/2)) ))) else: for i in range( int(N**(1/2)), N+1): if N % i == 0: print(( gk(i) )) exit(0)
N = int(eval(input())) def gk(n): ans = 0 while n: ans += 1 n //= 10 return ans ans = float("inf") for i in range(1, int(N**(1/2))+1): if N % i == 0: ans = min(ans,gk( N//i)) print(ans) exit(0) lst = [] for i in range(2,int(N**(1/2))+1): if N % i == 0: ans = 0 while N % i == 0: ans += 1 N //= i lst.append( (i,ans) ) cand = [1] while lst: p,cnt = lst.pop() nl = [] # for p ==
p03775
def f(a, b): str_a = str(a) len_a = len(str_a) str_b = str(b) len_b = len(str_b) return len_a if len_a > len_b else len_b N = int(eval(input())) min = 10**10 for i in range(1, 10 ** len(str(N))//2): a = i if N % a == 0: b = int(N / a) else: continue if len(str(a)) > len(str(N)) // 2 + 1: break ret = f(a, b) if min > ret: min = ret print(min)
def f(a, b): str_a = str(a) len_a = len(str_a) str_b = str(b) len_b = len(str_b) return len_a if len_a > len_b else len_b N = int(eval(input())) min = 10**10 max_iter = 10 ** (len(str(N))//2 + 1) for i in range(1, max_iter): a = i if N % a == 0: b = int(N / a) else: continue ret = f(a, b) if min > ret: min = ret if min <= len(str(N))//2: break print(min)
p03775
def I(): return int(eval(input())) N = I() ans = float('INF') for i in range(1,int(N**0.5)+1): if N%i==0: temp = max(len(str(i)),len(str(N//i))) ans = min(temp,ans) print(ans)
def I(): return int(eval(input())) N = I() ans = float('INF') for i in range(1,int(N**0.5)+1): if N%i==0: ans = min(len(str(N//i)),ans) print(ans)
p03775
N = int(eval(input())) ans = 1<<60 for a in range(1, int(N**0.5)+1): if N%a==0: b = N//a max_len = max(len(str(a)), len(str(b))) ans = min(ans, max_len) print(ans)
def make_divisors(n): divisors = [] for i in range(1, int(n**0.5)+1): if n % i == 0: divisors.append(i) if i != n // i: divisors.append(n//i) # divisors.sort() return divisors N = int(eval(input())) print((len(str(make_divisors(N)[-1]))))
p03775
# -*- coding: utf-8 -*- N = int(eval(input())) aN = [] i = 1 # かけ合わせる数の左右逆はやる意味ない while i <= N//i: if N % i == 0: aN.append([i, N//i]) i += 1 # 末尾に格納されたペアの右側の数値 print((len(str(aN[-1][1]))))
# -*- coding: utf-8 -*- import sys def input(): return sys.stdin.readline().strip() def list2d(a, b, c): return [[c] * b for i in range(a)] def list3d(a, b, c, d): return [[[d] * c for j in range(b)] for i in range(a)] def list4d(a, b, c, d, e): return [[[[e] * d for j in range(c)] for j in range(b)] for i in range(a)] def ceil(x, y=1): return int(-(-x // y)) def INT(): return int(eval(input())) def MAP(): return list(map(int, input().split())) def LIST(N=None): return list(MAP()) if N is None else [INT() for i in range(N)] def Yes(): print('Yes') def No(): print('No') def YES(): print('YES') def NO(): print('NO') sys.setrecursionlimit(10 ** 9) INF = 10 ** 18 MOD = 10 ** 9 + 7 def divisors(N: int) -> set: """ 約数の列挙・個数 """ from math import sqrt # 1とその数はデフォで入れとく s = {1, N} # 終点はルート切り捨て for i in range(2, int(sqrt(N))+1): # 割り切れるなら、iとN/iを追加 if N % i == 0: s.add(i) s.add(N // i) return s def compare(a, b): return max(len(str(a)), len(str(b))) N = INT() ans = INF for div1 in divisors(N): div2 = N // div1 ans = min(ans, compare(div1, div2)) print(ans)
p03775
import math n = int(eval(input())) nn = int(math.sqrt(n)) for i in range(nn,n+1): if n%i==0: print((len(str(i)))) break
import math n = int(eval(input())) nn = int(math.sqrt(n)) for i in range(nn,0,-1): if n%i==0: print((len(str(n//i)))) break
p03775
from collections import Counter from itertools import product n = int(eval(input())) def prime_factrize(a): ret = [] while a%2 == 0: ret.append(2) a//=2 f = 3 while f * f <= a: if a % f == 0: ret.append(f) a//=f else: f+=2 if a != 1: ret.append(a) return ret f = prime_factrize(n) def func(a, b): a = len(str(a)) b = len(str(b)) return max(a, b) ans = float('inf') for bit in product([0, 1], repeat=(len(f))): a = 1 b = 1 for i, v in enumerate(bit): if v == 0: a*=f[i] else: b*=f[i] ans = min(ans, func(a, b)) print(ans)
n = int(eval(input())) def func(a, b): a = len(str(a)) b = len(str(b)) return max(a, b) ans = float('inf') for i in range(1, int(n**0.5)+1): if n%i==0: ans = min(ans, func(i, n//i)) print(ans)
p03775
import math n = int(eval(input())) ans = 10 a = int(math.sqrt(n)) for i in range(a, n+1): q, mod = divmod(n, i) if mod == 0: print((max(list(map(len, list(map(str, [i, q]))))))) exit()
n = int(eval(input())) m = int(n**0.5) while n%m: m -= 1 print((len(str(n//m))))
p03775
def func(a, b): return max(list(map(len, list(map(str, [a, b]))))) N = int(eval(input())) min_dig = 10 ** 18 for i in range(1, N + 1): if not N % i: j = N // i if j < i: break min_dig = min(min_dig, func(i, j)) print(min_dig)
def func(a, b): return max(list(map(len, list(map(str, [a, b]))))) N = int(eval(input())) min_dig = 10 ** 18 for i in range(1, int(N ** 0.5) + 1): if not N % i: j = N // i min_dig = min(min_dig, func(i, j)) print(min_dig)
p03775
import math N = int(eval(input())) ans = 1000 for k in range(1,math.floor(math.sqrt(N))+1): if N % k == 0: ans = min(ans,max(len(str(k)),len(str(N//k)))) print(ans)
import math N = int(eval(input())) ans = len(str(N)) for k in range(2,math.floor(math.sqrt(N))+1): if N % k == 0: ans = min(ans,max(len(str(k)),len(str(N//k)))) print(ans)
p03775
# -*- coding: utf-8 -*- from math import sqrt,ceil,log10 n = int(eval(input())) nsr = sqrt(n) for i in range(ceil(nsr),n+1): if n%i==0: ret = ceil(log10(i)) if 10**ret==int(i): print((ret+1)) else: print(ret) exit()
# -*- coding: utf-8 -*- n = int(eval(input())) def cntd(x): digits = 0 while x/10>0: x = x//10 digits += 1 return digits ans = cntd(n) a = 1 while a*a<=n: if n%a!=0: a += 1 continue b = n//a cur = max(cntd(a), cntd(b)) if ans>cur: ans = cur a += 1 print(ans)
p03775
n=int(eval(input())) ans=len(str(n)) for i in range(1,n+1): if n%i==0: if n//i<i: break else: ans=min(ans,max(len(str(i)),len(str(n//i)))) print(ans)
n=int(eval(input())) ans=len(str(n)) for i in range(1,int(n**(1/2))+1): if n%i==0: ans=min(ans,max(len(str(i)),len(str(n//i)))) print(ans)
p03775
N = int(eval(input())) mn=100 for A in range(1,int(N**(0.5))+1): cnta=0 cntb=0 if N%A==0: B=N/A while A>0: A//=10 cnta+=1 while B>0: B//=10 cntb+=1 cnt=max(cnta,cntb) mn=min(mn,cnt) print(mn)
n=int(eval(input())) for i in range(int(n**(0.5)),0,-1): if n%i==0: print((len(str(n//i)))) exit()
p03775
def F(x,y): return max(len(str(x)),len(str(y))) N = int(eval(input())) dmin = 100 for i in range(1,int(N**0.5)+1): if N%i==0: n = N//i dmin = min(dmin,F(i,n)) print(dmin)
N = int(eval(input())) cmin = 1000 for i in range(1,int(N**0.5)+1): if N%i==0: a = str(i) b = str(N//i) cmin = min(cmin,max(len(a),len(b))) print(cmin)
p03775
from math import sqrt def solve(): N = int(eval(input())) mn = float('inf') for A in range(int(sqrt(N))+1,0,-1): if N % A == 0: B = N // A mn = min(f(A,B), mn) print(mn) def f(A,B): return max(len(str(A)), len(str(B))) if __name__ == '__main__': solve()
from math import sqrt def solve(): N = int(eval(input())) ans = float('inf') for A in range(1,int(sqrt(N))+1): if N % A == 0: ans = min(ans, len(str(N//A))) print(ans) if __name__ == '__main__': solve()
p03775
import math def read_input(): n = int(eval(input())) return n def submit(): n = read_input() factor_cand = int(math.ceil(math.sqrt(n))) while n % factor_cand: factor_cand += 1 a = int(n / factor_cand) b = int(factor_cand) al = len([c for c in str(a)]) bl = len([c for c in str(b)]) print((max(al, bl))) if __name__ == '__main__': submit()
import math def read_input(): n = int(eval(input())) return n def submit(): n = read_input() factor_cand = int(math.ceil(math.sqrt(n))) while n % factor_cand: factor_cand -= 1 if factor_cand == 1: nl = len([c for c in str(n)]) print(nl) return a = int(n / factor_cand) b = int(factor_cand) al = len([c for c in str(a)]) bl = len([c for c in str(b)]) print((max(al, bl))) if __name__ == '__main__': submit()
p03775
import math N=int(eval(input())) a=math.ceil(math.sqrt(N)) for i in range(a,((N+1)//10+1)): if N%i==0: r=N//i print((max(len(str(i)),len(str(r))))) exit() print((len(str(N))))
import math N=int(eval(input())) a=math.floor(math.sqrt(N)) for i in range(a,0,-1): if N%i==0: r=N//i print((max(len(str(i)),len(str(r))))) exit() print((len(str(N))))
p03775
N = int(eval(input())) A = 2 for i in range(int(N**(1/2)), 0, -1): if N % i == 0: print((len(str(N//i)))) exit()
N = int(eval(input())) for i in range(int(N**(1/2)), 0, -1): if N % i == 0: print((len(str(N//i)))) exit()
p03775
import math N = int(eval(input())) n = int(math.sqrt(N)) if N/n == n: print((int(math.log10(n)+1))) else: while N%n != 0: n+=1 print((int(math.log10(n) + 1)))
import math N = int(eval(input())) n = int(math.sqrt(N)) + 1 if N / n == n: print((int(math.log10(n) + 1))) else: while N % n != 0: n -= 1 print((int(math.log10(N/n) + 1)))
p03775
import math N=int( eval(input())) for r in range (int(math.sqrt(N)),N+1): if N%r==0: count=1 for i in range (0,9): r=r/10 if r<1: print(count) break count+=1 break
import math N=int( eval(input())) for r in range (int(math.sqrt(N)),0,-1): if N%r==0: count=1 l=N/r for i in range (0,10): l=l/10 if l<1: print(count) break count+=1 break
p03775
n=int(eval(input())) if all(n%i for i in range(2,int(n**.5)+1)): print((len(str(n)))) exit() for i in range(int(0-n**.5//-1),n+1): if n%i==0: print((len(str(i)))) exit()
n=int(eval(input())) for i in range(int(0-n**.5//-1),1,-1): if n%i==0: print((len(str(n//i)))) exit() print((len(str(n))))
p03775
# from pprint import pprint import math # import collections n = int(eval(input())) # n, k = map(int, input().split(' ')) # a = list(map(int, input().split(' '))) def f(a, b): return max(math.floor(math.log10(a)) + 1, math.floor(math.log10(b)) + 1) a = 1 ans = 11 while a <= math.sqrt(n): if n % a == 0 and f(a, n // a) <= ans: # print('test', a, n // a, f(a, n // a)) ans = f(a, n // a) a += 1 print(ans)
# from pprint import pprint import math # import collections n = int(eval(input())) # n, k = map(int, input().split(' ')) # a = list(map(int, input().split(' '))) def f(a, b): return max(math.floor(math.log10(a)+1), math.floor(math.log10(b))+1) a = 1 ans = 11 while a <= math.sqrt(n): if n % a == 0 and f(a, n // a) <= ans: ans = f(a, n // a) a += 1 print(ans)
p03775
N = int(eval(input())) ans = float("inf") c = 1 while c <= int(N**(1/2)//1): if N%c == 0: ans = min(ans,max(len(str(c)),len(str(N//c)))) c += 1 print(ans)
N = int(eval(input())) ans = float("inf") for i in range(1,int(N**(1/2)//1)+1): if N%i == 0: ans = min(ans,len(str(N//i))) print(ans)
p03775
N = int(eval(input())) def divisor(n): cd = [] i = 1 while i*i <= n: if n%i==0: cd.append(i) if i != n//i: cd.append(n//i) i+=1 return cd cd = divisor(N) ans = len(str(cd[-1])) print(ans)
def solve(): N = int(eval(input())) n = int(N**0.5)+1 for i in range(n,0,-1): if N%i==0: ans = len(str(N//i)) break return ans print((solve()))
p03775
# coding: utf-8 # Your code here! import math N=int(eval(input())) n=int(math.sqrt(N)) dev=0 for i in range(1,n+1): if N%i==0: dev=i print((max(len(str(dev)),len(str(N//dev)))))
#codng utf-8 import math N=int(eval(input())) n=int(math.sqrt(N)) for i in range(n,0,-1): if N%i==0: ans=max(len(str(i)),len(str(N//i))) break print(ans)
p03775
n = int(eval(input())) jud = [] for i in range(1, int(n**0.5) + 1): x = n // i if x * i == n: jud.append(len(str(x))) print((min(jud)))
def yaku(n): yalu_l = [] for j in range(1, int(n ** 0.5) + 1): if n % j == 0: yalu_l.append([n // j, j]) else: continue return yalu_l ans = 10 ** 9 n = int(eval(input())) for i in yaku(n): p = len(str(i[0])) q = len(str(i[1])) ans = min(max(p, q), ans) print(ans)
p03775
n=int(eval(input())) for i in range(int((n**0.5+1)//1),0,-1): if n/i%1==0: f=max(len(str(i)),len(str(n//i))) break print(f)
n=int(eval(input())) s=10**11 for i in range(1,int(n**0.5)+1): if n%i==0: s=min(s,max(i,n//i)) print((len(str(s))))
p03775
n = int(eval(input())) min_digits = 100 for i in range(int(n ** 0.5) + 1): a = i + 1 if n % a != 0: continue b = n // a x = max([a, b]) digits = len(str(x)) if digits < min_digits: min_digits = digits print(min_digits)
def main(): n = int(eval(input())) m = int(n ** 0.5) if n < 4: m += 1 min_f = len(str(n)) for i in reversed(list(range(1, m + 1))): if n % i == 0: b = n // i db = len(str(b)) di = len(str(i)) f = max(db, di) if f < min_f: min_f = f print(min_f) if __name__ == '__main__': main()
p03775
N = int(eval(input())) a = 100 for n in range(1,1+10**5): if N%n==0: a = min(a,max(len(str(n)),len(str(N//n)))) print(a)
N = int(eval(input())) n = int(N**0.5) while N%n: n-=1 print((len(str(N//n))))
p03775
import math N = int(eval(input())) sqrt_N = int(math.sqrt(N)) min_F = float('inf') for i in range(1,sqrt_N + 1): if N % i == 0: A = i B = N // i if min_F > max(len(str(A)),len(str(B))): min_F = max(len(str(A)),len(str(B))) print(min_F)
import math N = int(eval(input())) N_sqrt = math.floor(math.sqrt(N)) ans = float('inf') for i in range(1, N_sqrt + 1): if N % i == 0: if ans > max(len(str(i)), len(str(N // i))): ans = max(len(str(i)), len(str(N // i))) print(ans)
p03775
from math import sqrt N = int(eval(input())) root_N = int(sqrt(N)) + 1 def F(a, b): return max(len(str(a)), len(str(b))) min_F = 10**6 for a in range(1, root_N + 1): if N % a == 0: b = N // a min_F = min(min_F, F(a, b)) print(min_F)
def make_divisors(n): divisors = [] for i in range(1, int(n**0.5) + 1): if n % i == 0: divisors.append(i) if i != n // i: divisors.append(n // i) divisors.sort() return divisors def F(a, b): return max(len(str(a)), len(str(b))) N = int(eval(input())) min_num = 10**9 for divisor in make_divisors(N): min_num = min(min_num, F(divisor, N // divisor)) print(min_num)
p03775
def make_divisors(n): divisors = [] for i in range(1, int(n**0.5) + 1): if n % i == 0: divisors.append((i, n//i)) divisors.sort() return divisors from math import log10 N = int(eval(input())) div = make_divisors(N) def F(A, B): return max(log10(A)+1, log10(B)+1) ans = 10**9 for a, b in div: ans = min(ans, F(a, b)) print((int(ans)))
def make_divisors(n): divisors = [] for i in range(1, int(n**0.5) + 1): if n % i == 0: divisors.append((i, n//i)) divisors.sort() return divisors from math import log10 N = int(eval(input())) div = make_divisors(N) def F(A, B): return max(int(log10(A))+1, int(log10(B))+1) ans = 10**9 for a, b in div: ans = min(ans, F(a, b)) print(ans)
p03775
import math N = int(eval(input())) ans = float("inf") for i in range(1, math.ceil(math.sqrt(N)) + 1): if N % i == 0: tmp = max(len(str(i)), len(str(N // i))) ans = min(ans, tmp) print(ans)
def make_divisors(n): divisors = [] for i in range(1, int(n ** 0.5) + 1): if n % i == 0: divisors.append(i) return divisors def F(A, B): return max(len(list(map(int, str(A)))), len(list(map(int, str(B))))) N = int(eval(input())) divs = make_divisors(N) ans = 10**10 for A in divs: B = N//A ans = min(ans, F(A, B)) print(ans)
p03775
N=int(eval(input())) M=int((N**(1/2))) mult=0 while 1: for i in [-1,1]: x=M+i*mult if not N%x: print((max([len(str(x)),len(str(int(N/x)))]))) exit() mult+=1
N=int(eval(input())) M=int((N**(1/2))) print((min([max([len(str(i)),len(str(int(N/i)))]) for i in range(1,M+1) if N%i==0])))
p03775
N = int(eval(input())) for i in range(int(0 - N ** .5 // -1),1,-1): if N % i == 0: print((len(str(N // i)))) exit() print((len(str(N))))
N = int(eval(input())) for i in range(int(N**0.5//1+1),1,-1): if N % i == 0: print((len(str(N // i)))) exit() print((len(str(N))))
p03775
import math n = int(eval(input())) ans = int(math.sqrt(n)) while True: if n % ans == 0: break else: ans += 1 print((len(str(ans))))
import math n = int(eval(input())) ans = int(math.sqrt(n)) while True: if n % ans == 0: ans = n // ans break else: ans -= 1 print((len(str(ans))))
p03775
n = int(eval(input())) def cal(a): return len(str(a)) m = 11 for j in range(1,10**6+1): if n%j==0: m = min(m,max(cal(j),cal(n//j))) # print(m) print(m)
n = int(eval(input())) def cal(a): return len(str(a)) m = 11 for j in range(1,10**5+1): if n%j==0: m = min(m,max(cal(j),cal(n//j))) # print(m) print(m)
p03775
import math n=int(eval(input())) f=[] for a in range(1,math.floor(n**(1/2))+1): if n%a==0: b=n//a f.append(len(str(b))) print((min(f)))
import math n=int(eval(input())) f=[] for a in range(1,math.floor(n**(1/2))+1): if n%a==0: f.append(len(str(n//a))) print((min(f)))
p03775
n = int(eval(input())) ans = 10 def F(a,b): return max(len(str(a)),len(str(b))) i = 1 while i * i <= n: if n%i == 0: ans = min(ans,F(i,n//i)) #print(i,n//i) i += 1 print(ans)
import math n = int(eval(input())) s = int(math.sqrt(n)) ans = 10**11 for i in range(1,s+1): if n%i == 0: z = n//i ans = min(ans,len(str(z))) print(ans)
p03775
n = int(eval(input())) ans = 11 for i in range(1, int(-(-n**.5//1))+1): x, r = divmod(n, i) if r == 0: ans = min(ans, max([len(str(x)) for x in (i, x)])) print(ans)
n = int(eval(input())) INF = 10**18 ans = INF def F(a, b): return max(len(str(a)), len(str(b))) for i in range(1, int(n**.5)+1): if n % i == 0: x = F(i, n//i) if x < ans: ans = x print(ans)
p03775
N = int(eval(input())) def f(a, b): return len(list(a)) if len(list(a)) > len(list(b)) else len(list(b)) min_x = len(list(str(N))) for i in range(1, N // 2 + 1): if N % i == 0: min_x = min(min_x, f(str(i), str(N // i))) if len(str(i)) >= len(str(N // i)): break print(min_x)
import math def f(a, b): return len(list(str(max(a, b)))) N = int(eval(input())) ans = len(str(N)) for i in range(1, int(math.sqrt(N)) + 1): if N % i == 0: ans = min(ans, f(i, N // i)) print(ans)
p03775
import math def divisor(div, N): # 約数 i = 1 n = N while i <= math.sqrt(n): if n % i == 0: div.append([i, n // i]) i += 1 def main(): N = int(eval(input())) div = [] divisor(div, N) print((max(int(math.log10(div[-1][0]) + 1), int(math.log10(div[-1][1]) + 1)))) return main()
import math def divisor(div, n): # 約数 ini = 1 if n % 2 else 2 for i in range(ini, int(math.sqrt(n)) + 1, 2): if n % i == 0: div.append([i, n // i]) def main(): N = int(eval(input())) div = [] divisor(div, N) print((max(int(math.log10(div[-1][0]) + 1), int(math.log10(div[-1][1]) + 1)))) return main()
p03775
import math n=int(eval(input())) for i in range(int(math.sqrt(n)),n+1): if n%i==0:print((max(len(str(i)),len(str(n//i)))));break
import math n=int(eval(input())) for i in range(int(math.sqrt(n)),0,-1): if n%i==0:print((max(len(str(i)),len(str(n//i)))));break
p03775
import math N = int(eval(input())) ans = len(str(N)) for i in range(2, int(math.sqrt(N)) + 1): if N % i == 0: ans = min(ans, len(str(N // i))) print(ans)
from math import ceil def divisors(n): res = [] for i in range(1, int(n ** 0.5) + 1): if n % i == 0: res.append(i) if i != n // i: res.append(n // i) return res n = int(eval(input())) divs = divisors(n) divs.sort() lim = ceil(len(divs) / 2) ans = 11 for i in range(lim): a = divs[i] b = divs[(-1) * (i + 1)] f = max(len(str(a)), len(str(b))) ans = min(ans, f) print(ans)
p03775
N = int(eval(input())) ans = N pred = N for i in range(1, N//2): d = 0 if N % i == 0: d = max(len(str(i)), len(str(N//i))) ans = min(ans, d) if d > pred: break pred = d print(ans)
N = int(eval(input())) ans = N for i in range(1, N): if i**2 > N: break d = 0 if N % i == 0: d = max(len(str(i)), len(str(N//i))) ans = min(ans, d) print(ans)
p03775
import math def F(A,B): if A > B: return len(str(A)) else: return len(str(B)) N = int(eval(input())) min = F(1,N) rt = int(math.sqrt(N)) for i in range(rt,N+1): if N % i != 0: continue f = F(i,int(N/i)) if f < min: min = f break print(min)
import math def F(A,B): if A > B: return len(str(A)) else: return len(str(B)) N = int(eval(input())) min = F(1,N) rt = int(math.sqrt(N)) for i in range(2,rt+1): if N % i != 0: continue f = F(i,int(N/i)) if f < min: min = f print(min)
p03775
N = int(eval(input())) def is_square(n): m = int(n**.5) return True if abs(m*m - n) < 1e-6 else False divs = [] f = False if is_square(N): divs = [int(N**.5)]*2 f = True for i in range(int(N**.5),0,-1): if f: break if N % i == 0: divs += [i, N//i] if len(divs) >= 2: break print((max([len(str(x)) for x in divs])))
n = int(eval(input())) sn = int(n**.5) if (sn)*(sn)==n: print((len(str(sn)))) quit() divisors = [] c = 0 for i in range(int(n**.5)+1, 0, -1): if n % i == 0: divisors.append(i) c += 1 if i != n // i: divisors.append(n//i) c += 1 if c >= 2: break print((len(str(max(divisors)))))
p03775
import sys import math n = int(sys.stdin.readline().strip()) a = math.ceil(math.sqrt(n)) for i in range(a, n+1): if n % i == 0: m1 = i m2 = int(n/i) break else: continue ord1 = int(math.log10(m1) + 1) ord2 = int(math.log10(m1) + 1) ans = max(ord1, ord2) print(ans)
import sys import math n = int(sys.stdin.readline().strip()) a = math.ceil(math.sqrt(n)) ans = 10 i = a while i > 0: if n % i == 0: m1 = i m2 = int(n/i) m = max(m1, m2) ord_m = int(math.log10(m) + 1) ans = min(ans, ord_m) i -= 1 print(ans)
p03775
n = int(eval(input())) lis = [] for a in range(1, n+1): if n % a == 0: if len(str(a)) <= len(str(int(n/a))): lis.append(max(a, int(n/a))) else: break print((len(str(min(lis)))))
n = int(eval(input())) lis = [] for a in range(1, int(n**0.5)+1): if n % a == 0: lis.append(max(a, int(n/a))) print((len(str(min(lis)))))
p03775
import math N = int(eval(input())) for i in range(math.ceil(N**.5), N+1): if N%i == 0: print((len(str(i)))) break
N = int(eval(input())) P = [i for i in range(1, int(N**.5)+1)][::-1] for i in P: if N%i == 0: print((len(str(N//i)))) break
p03775
import math N = int(eval(input())) n = math.floor(math.sqrt(N)) i=0 while True: if N%(n+i) == 0: print((len(str((n+i))))) exit() else: i+=1
import math N = int(eval(input())) n = math.floor(math.sqrt(N)) for i in range(n): if N%(n-i) == 0: print((len(str(N//(n-i))))) exit()
p03775
N = int(eval(input())) min_len = len(str(N)) for i in range(1, int(N ** (1/2)) + 1) : if N % i == 0 : min_len = min(min_len, max(len(str(i)), len(str(int(N/i))))) print(min_len)
import math N = int(eval(input())) def f(a, b): return max(len(str(a)), len(str(b))) max_len = 0 for i in range(1, int(math.sqrt(N)) + 1) : if N % i == 0 : max_len = f(i, N // i) print(max_len)
p03775
N=int(eval(input())) count=0 lis=[] for i in range(1,N+1): if N/i==N//i: if N/i < i: break lis.append(i) llis=[] for x in lis: y = N / x mm=max([x,y]) ketasuu=len(str(int(mm))) llis.append(ketasuu) print((min(llis)))
N=int(eval(input())) count=0 lis=[] for i in range(1,N+1): if N/i < i: break if N/i==N//i: lis.append(i) llis=[] for x in lis: y = N / x mm=max([x,y]) ketasuu=len(str(int(mm))) llis.append(ketasuu) print((min(llis)))
p03775
import math N=int(eval(input())) # rootを求める root_n = int(math.sqrt(N)) up_n = root_n up_ans = 0 keta = lambda x: len(str(x)) while up_n <= N: if N % up_n == 0: pair = int(N/up_n) # 桁数を求める up_ans = max(keta(pair), keta(up_n)) break else: up_n+=1 print(up_ans)
def make_divisors(n): divisors = [] for i in range(1, int(n**0.5)+1): if n % i == 0: divisors.append(i) if i != n // i: divisors.append(n//i) # divisors.sort() return divisors import math N=int(eval(input())) INF = 3000000 # rootを求める # 二分探索すればいいのか!!! ans = INF pairs = make_divisors(N) keta = lambda x: len(str(x)) for pair in pairs: tmp_ans = max(keta(pair), keta(int(N/pair))) ans = min(ans,tmp_ans) print(ans) # root_n = int(math.sqrt(N)) # up_n = root_n # up_ans = 0 # while up_n <= N: # if N % up_n == 0: # pair = int(N/up_n) # # 桁数を求める # break # else: # up_n+=1 # print(up_ans)
p03775
import math n = int(eval(input())) if n < 10: print((1)) else: a = 0 for i in range(1, int(math.sqrt(n))+1): if n % i == 0: a = i b = n//a j = 1 while True: m = b / (10**j) if m>=1 and m<10: ans = j+1 break j+=1 print(ans)
import math n = int(eval(input())) a = 0 for i in range(1, int(math.sqrt(n))+1): if n % i == 0: a = i b = n//a j = 0 while True: m = b / (10**j) if m>=1 and m<10: ans = j+1 break j+=1 print(ans)
p03775