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ID	题目	提交者	结果	用时	内存	语言	文件大小	提交时间	测评时间
#709177	#6566. Power of Divisors	tassei903	AC ✓	16ms	10804kb	Python3	1.2kb	2024-11-04 12:33:18	2024-11-04 12:33:19

Judging History

你现在查看的是最新测评结果

[2024-11-04 12:33:19]
评测

测评结果：AC
用时：16ms
内存：10804kb

查看

[2024-11-04 12:33:18]
提交

answer


from math import floor
def f(n, e):
    if e <= 4:
        ok = 0
        ng = 10 ** 18
        while ng - ok > 1:
            mid = ok + ng >> 1
            if mid ** e <= n:
                ok = mid
            else:
                ng = mid
        if ok ** e == n:
            return ok
    else:
        for x in range(1, 10 ** 18):
            if x ** e > n:
                return -1
            if x ** e == n:
                return x
    return -1

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 = f(n, i)
        if x == -1:
            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()

源文件, 语言: Python3

详细

Test #1:

score: 100

Accepted

time: 11ms

memory: 10764kb

input:

output:

result:

ok single line: '25'

Test #2:

score: 0

Accepted

time: 12ms

memory: 10684kb

input:

64000000

output:

result:

ok single line: '20'

Test #3:

score: 0

Accepted

time: 11ms

memory: 10584kb

input:

output:

-1

result:

ok single line: '-1'

Test #4:

score: 0

Accepted

time: 14ms

memory: 10656kb

input:

output:

result:

ok single line: '1'

Test #5:

score: 0

Accepted

time: 8ms

memory: 10688kb

input:

output:

-1

result:

ok single line: '-1'

Test #6:

score: 0

Accepted

time: 14ms

memory: 10636kb

input:

output:

-1

result:

ok single line: '-1'

Test #7:

score: 0

Accepted

time: 7ms

memory: 10604kb

input:

output:

result:

ok single line: '10'

Test #8:

score: 0

Accepted

time: 14ms

memory: 10700kb

input:

1000000000000000000

output:

result:

ok single line: '100'

Test #9:

score: 0

Accepted

time: 14ms

memory: 10804kb

input:

10372926089038969

output:

result:

ok single line: '218089'

Test #10:

score: 0

Accepted

time: 5ms

memory: 10768kb

input:

10642944803293201

output:

result:

ok single line: '10157'

Test #11:

score: 0

Accepted

time: 5ms

memory: 10700kb

input:

10646534823110209

output:

103182047

result:

ok single line: '103182047'

Test #12:

score: 0

Accepted

time: 14ms

memory: 10656kb

input:

1073741824

output:

result:

ok single line: '32'

Test #13:

score: 0

Accepted

time: 14ms

memory: 10656kb

input:

output:

result:

ok single line: '11'

Test #14:

score: 0

Accepted

time: 4ms

memory: 10756kb

input:

output:

result:

ok single line: '6'

Test #15:

score: 0

Accepted

time: 14ms

memory: 10768kb

input:

output:

-1

result:

ok single line: '-1'

Test #16:

score: 0

Accepted

time: 14ms

memory: 10580kb

input:

16277421889

output:

result:

ok single line: '127583'

Test #17:

score: 0

Accepted

time: 14ms

memory: 10688kb

input:

output:

result:

ok single line: '13'

Test #18:

score: 0

Accepted

time: 12ms

memory: 10652kb

input:

output:

-1

result:

ok single line: '-1'

Test #19:

score: 0

Accepted

time: 3ms

memory: 10656kb

input:

output:

-1

result:

ok single line: '-1'

Test #20:

score: 0

Accepted

time: 14ms

memory: 10660kb

input:

205891132094649

output:

result:

ok single line: '243'

Test #21:

score: 0

Accepted

time: 9ms

memory: 10708kb

input:

output:

result:

ok single line: '5'

Test #22:

score: 0

Accepted

time: 14ms

memory: 10768kb

input:

2626114239841

output:

result:

ok single line: '1273'

Test #23:

score: 0

Accepted

time: 15ms

memory: 10652kb

input:

26269395104446321

output:

result:

ok single line: '12731'

Test #24:

score: 0

Accepted

time: 7ms

memory: 10700kb

input:

output:

-1

result:

ok single line: '-1'

Test #25:

score: 0

Accepted

time: 15ms

memory: 10588kb

input:

3596345248055296

output:

result:

ok single line: '88'

Test #26:

score: 0

Accepted

time: 15ms

memory: 10656kb

input:

output:

-1

result:

ok single line: '-1'

Test #27:

score: 0

Accepted

time: 15ms

memory: 10632kb

input:

output:

result:

ok single line: '2'

Test #28:

score: 0

Accepted

time: 5ms

memory: 10704kb

input:

output:

result:

ok single line: '8'

Test #29:

score: 0

Accepted

time: 7ms

memory: 10756kb

input:

output:

result:

ok single line: '7'

Test #30:

score: 0

Accepted

time: 8ms

memory: 10712kb

input:

output:

-1

result:

ok single line: '-1'

Test #31:

score: 0

Accepted

time: 7ms

memory: 10652kb

input:

576460752303423488

output:

-1

result:

ok single line: '-1'

Test #32:

score: 0

Accepted

time: 10ms

memory: 10712kb

input:

581431415926321

output:

24112889

result:

ok single line: '24112889'

Test #33:

score: 0

Accepted

time: 3ms

memory: 10696kb

input:

output:

-1

result:

ok single line: '-1'

Test #34:

score: 0

Accepted

time: 14ms

memory: 10704kb

input:

output:

result:

ok single line: '4'

Test #35:

score: 0

Accepted

time: 14ms

memory: 10732kb

input:

656100000000

output:

result:

ok single line: '30'

Test #36:

score: 0

Accepted

time: 14ms

memory: 10656kb

input:

output:

-1

result:

ok single line: '-1'

Test #37:

score: 0

Accepted

time: 9ms

memory: 10804kb

input:

output:

result:

ok single line: '9'

Test #38:

score: 0

Accepted

time: 14ms

memory: 10700kb

input:

output:

-1

result:

ok single line: '-1'

Test #39:

score: 0

Accepted

time: 14ms

memory: 10768kb

input:

output:

-1

result:

ok single line: '-1'

Test #40:

score: 0

Accepted

time: 15ms

memory: 10640kb

input:

8527674378686464

output:

result:

ok single line: '452'

Test #41:

score: 0

Accepted

time: 14ms

memory: 10584kb

input:

output:

result:

ok single line: '3'

Test #42:

score: 0

Accepted

time: 15ms

memory: 10648kb

input:

982134461213542729

output:

result:

ok single line: '994009'

Test #43:

score: 0

Accepted

time: 11ms

memory: 10688kb

input:

9992002399680016

output:

result:

ok single line: '9998'

Test #44:

score: 0

Accepted

time: 13ms

memory: 10764kb

input:

999269311525198921

output:

-1

result:

ok single line: '-1'

Test #45:

score: 0

Accepted

time: 10ms

memory: 10648kb

input:

999949000866995087

output:

-1

result:

ok single line: '-1'

Test #46:

score: 0

Accepted

time: 16ms

memory: 10656kb

input:

999995482005103081

output:

-1

result:

ok single line: '-1'

Test #47:

score: 0

Accepted

time: 15ms

memory: 10760kb

input:

999999969999997921

output:

-1

result:

ok single line: '-1'

Test #48:

score: 0

Accepted

time: 12ms

memory: 10640kb

input:

999999999999999989

output:

-1

result:

ok single line: '-1'

Test #49:

score: 0

Accepted

time: 10ms

memory: 10704kb

input:

999999999999999999

output:

-1

result:

ok single line: '-1'