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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#709161#6566. Power of Divisorstassei903AC ✓16ms10764kbPython31.2kb2024-11-04 12:28:342024-11-04 12:28:36

Judging History

你现在查看的是最新测评结果

  • [2024-11-04 12:28:36]
  • 评测
  • 测评结果:AC
  • 用时:16ms
  • 内存:10764kb
  • [2024-11-04 12:28:34]
  • 提交

answer

from math import floor
def kth_root_integer(a: int, k: int) -> int:
    if a <= 1 or k == 1: return a
    if 64 <= k: return 1
    def check(n: int) -> bool:
        x = 1; m = n
        p = k
        while p:
            if p & 1: x *= m
            p >>= 1
            m *= m
        return x <= a
    n = int(pow(a, 1 / k))
    while not check(n): n -= 1
    while check(n + 1): n += 1
    return n

def divisors(n):
    a = []
    i = 1
    while i * i <= n:
        if n % i == 0:
            a.append(i)
            if n // i != i:
                a.append(n//i)
        i += 1
    
    return a
def solve():
    n = int(input())
    if n == 1:
        print(1)
        return
    b, e = n, 1
    for i in range(63, 1, -1):
        x = kth_root_integer(n, i)
        if x ** i != n:
            continue
        b, e = x, i
        break

    if e == 1:
        print(-1)
        return
    ans = 10 ** 20
    for j in sorted(divisors(e))[:-1]:
        x = b ** j
        if len(divisors(x)) == e // j:
            print(x)
            break
    else:
        print(-1)

solve()
# for _ in range(int(input())):
#     solve()

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 11ms
memory: 10556kb

input:

15625

output:

25

result:

ok single line: '25'

Test #2:

score: 0
Accepted
time: 11ms
memory: 10588kb

input:

64000000

output:

20

result:

ok single line: '20'

Test #3:

score: 0
Accepted
time: 15ms
memory: 10684kb

input:

65536

output:

-1

result:

ok single line: '-1'

Test #4:

score: 0
Accepted
time: 8ms
memory: 10540kb

input:

1

output:

1

result:

ok single line: '1'

Test #5:

score: 0
Accepted
time: 12ms
memory: 10648kb

input:

10

output:

-1

result:

ok single line: '-1'

Test #6:

score: 0
Accepted
time: 6ms
memory: 10548kb

input:

100

output:

-1

result:

ok single line: '-1'

Test #7:

score: 0
Accepted
time: 14ms
memory: 10724kb

input:

10000

output:

10

result:

ok single line: '10'

Test #8:

score: 0
Accepted
time: 14ms
memory: 10688kb

input:

1000000000000000000

output:

100

result:

ok single line: '100'

Test #9:

score: 0
Accepted
time: 14ms
memory: 10764kb

input:

10372926089038969

output:

218089

result:

ok single line: '218089'

Test #10:

score: 0
Accepted
time: 10ms
memory: 10596kb

input:

10642944803293201

output:

10157

result:

ok single line: '10157'

Test #11:

score: 0
Accepted
time: 15ms
memory: 10748kb

input:

10646534823110209

output:

103182047

result:

ok single line: '103182047'

Test #12:

score: 0
Accepted
time: 7ms
memory: 10756kb

input:

1073741824

output:

32

result:

ok single line: '32'

Test #13:

score: 0
Accepted
time: 9ms
memory: 10724kb

input:

121

output:

11

result:

ok single line: '11'

Test #14:

score: 0
Accepted
time: 11ms
memory: 10652kb

input:

1296

output:

6

result:

ok single line: '6'

Test #15:

score: 0
Accepted
time: 7ms
memory: 10684kb

input:

16

output:

-1

result:

ok single line: '-1'

Test #16:

score: 0
Accepted
time: 9ms
memory: 10600kb

input:

16277421889

output:

127583

result:

ok single line: '127583'

Test #17:

score: 0
Accepted
time: 10ms
memory: 10764kb

input:

169

output:

13

result:

ok single line: '13'

Test #18:

score: 0
Accepted
time: 4ms
memory: 10748kb

input:

1985984

output:

-1

result:

ok single line: '-1'

Test #19:

score: 0
Accepted
time: 16ms
memory: 10684kb

input:

2

output:

-1

result:

ok single line: '-1'

Test #20:

score: 0
Accepted
time: 11ms
memory: 10600kb

input:

205891132094649

output:

243

result:

ok single line: '243'

Test #21:

score: 0
Accepted
time: 14ms
memory: 10664kb

input:

25

output:

5

result:

ok single line: '5'

Test #22:

score: 0
Accepted
time: 14ms
memory: 10688kb

input:

2626114239841

output:

1273

result:

ok single line: '1273'

Test #23:

score: 0
Accepted
time: 14ms
memory: 10608kb

input:

26269395104446321

output:

12731

result:

ok single line: '12731'

Test #24:

score: 0
Accepted
time: 14ms
memory: 10728kb

input:

3

output:

-1

result:

ok single line: '-1'

Test #25:

score: 0
Accepted
time: 7ms
memory: 10648kb

input:

3596345248055296

output:

88

result:

ok single line: '88'

Test #26:

score: 0
Accepted
time: 14ms
memory: 10608kb

input:

36

output:

-1

result:

ok single line: '-1'

Test #27:

score: 0
Accepted
time: 7ms
memory: 10664kb

input:

4

output:

2

result:

ok single line: '2'

Test #28:

score: 0
Accepted
time: 6ms
memory: 10700kb

input:

4096

output:

8

result:

ok single line: '8'

Test #29:

score: 0
Accepted
time: 11ms
memory: 10612kb

input:

49

output:

7

result:

ok single line: '7'

Test #30:

score: 0
Accepted
time: 12ms
memory: 10616kb

input:

5

output:

-1

result:

ok single line: '-1'

Test #31:

score: 0
Accepted
time: 7ms
memory: 10700kb

input:

576460752303423488

output:

-1

result:

ok single line: '-1'

Test #32:

score: 0
Accepted
time: 11ms
memory: 10664kb

input:

581431415926321

output:

24112889

result:

ok single line: '24112889'

Test #33:

score: 0
Accepted
time: 14ms
memory: 10548kb

input:

6

output:

-1

result:

ok single line: '-1'

Test #34:

score: 0
Accepted
time: 15ms
memory: 10660kb

input:

64

output:

4

result:

ok single line: '4'

Test #35:

score: 0
Accepted
time: 9ms
memory: 10600kb

input:

656100000000

output:

30

result:

ok single line: '30'

Test #36:

score: 0
Accepted
time: 14ms
memory: 10600kb

input:

7

output:

-1

result:

ok single line: '-1'

Test #37:

score: 0
Accepted
time: 10ms
memory: 10652kb

input:

729

output:

9

result:

ok single line: '9'

Test #38:

score: 0
Accepted
time: 15ms
memory: 10508kb

input:

8

output:

-1

result:

ok single line: '-1'

Test #39:

score: 0
Accepted
time: 11ms
memory: 10724kb

input:

81

output:

-1

result:

ok single line: '-1'

Test #40:

score: 0
Accepted
time: 14ms
memory: 10580kb

input:

8527674378686464

output:

452

result:

ok single line: '452'

Test #41:

score: 0
Accepted
time: 11ms
memory: 10684kb

input:

9

output:

3

result:

ok single line: '3'

Test #42:

score: 0
Accepted
time: 12ms
memory: 10700kb

input:

982134461213542729

output:

994009

result:

ok single line: '994009'

Test #43:

score: 0
Accepted
time: 11ms
memory: 10700kb

input:

9992002399680016

output:

9998

result:

ok single line: '9998'

Test #44:

score: 0
Accepted
time: 16ms
memory: 10660kb

input:

999269311525198921

output:

-1

result:

ok single line: '-1'

Test #45:

score: 0
Accepted
time: 9ms
memory: 10704kb

input:

999949000866995087

output:

-1

result:

ok single line: '-1'

Test #46:

score: 0
Accepted
time: 16ms
memory: 10612kb

input:

999995482005103081

output:

-1

result:

ok single line: '-1'

Test #47:

score: 0
Accepted
time: 10ms
memory: 10580kb

input:

999999969999997921

output:

-1

result:

ok single line: '-1'

Test #48:

score: 0
Accepted
time: 15ms
memory: 10576kb

input:

999999999999999989

output:

-1

result:

ok single line: '-1'

Test #49:

score: 0
Accepted
time: 8ms
memory: 10764kb

input:

999999999999999999

output:

-1

result:

ok single line: '-1'