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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 |
---|---|---|---|---|---|---|---|---|---|
#111397 | #6566. Power of Divisors | hos_lyric | AC ✓ | 2ms | 3824kb | C++14 | 3.0kb | 2023-06-06 22:54:45 | 2023-06-06 22:54:47 |
Judging History
answer
#include <cassert>
#include <cmath>
#include <cstdint>
#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <algorithm>
#include <bitset>
#include <complex>
#include <deque>
#include <functional>
#include <iostream>
#include <limits>
#include <map>
#include <numeric>
#include <queue>
#include <set>
#include <sstream>
#include <string>
#include <unordered_map>
#include <unordered_set>
#include <utility>
#include <vector>
using namespace std;
using Int = long long;
template <class T1, class T2> ostream &operator<<(ostream &os, const pair<T1, T2> &a) { return os << "(" << a.first << ", " << a.second << ")"; };
template <class T> ostream &operator<<(ostream &os, const vector<T> &as) { const int sz = as.size(); os << "["; for (int i = 0; i < sz; ++i) { if (i >= 256) { os << ", ..."; break; } if (i > 0) { os << ", "; } os << as[i]; } return os << "]"; }
template <class T> void pv(T a, T b) { for (T i = a; i != b; ++i) cerr << *i << " "; cerr << endl; }
template <class T> bool chmin(T &t, const T &f) { if (t > f) { t = f; return true; } return false; }
template <class T> bool chmax(T &t, const T &f) { if (t < f) { t = f; return true; } return false; }
// floor(a^(1/k))
unsigned long long floorKthRoot(unsigned long long a, unsigned long long k) {
if (a == 0) {
return 0;
} else if (k <= 1) {
return a;
} else if (k == 2) {
unsigned long long b = a, x = 0, y = 0;
for (int e = (63 - __builtin_clzll(a)) & ~1; e >= 0; e -= 2) {
x <<= 1;
y <<= 1;
if (b >= (y | 1) << e) {
b -= (y | 1) << e;
x |= 1;
y += 2;
}
}
return x;
} else if (k <= 40) {
// min x s.t. x^k >= 2^64
static constexpr unsigned long long HIS[] =
{0, 0, 4294967296ULL, 2642246, 65536, 7132, 1626, 566, 256, 139, 85, 57,
41, 31, 24, 20, 16, 14, 12, 11, 10, 9, 8, 7, 7, 6, 6, 6, 5, 5, 5, 5,
4, 4, 4, 4, 4, 4, 4, 4, 4};
const int bsr = 63 - __builtin_clzll(a);
unsigned long long lo = 1ULL << (bsr / k);
unsigned long long hi = std::min(1ULL << (bsr / k + 1), HIS[k]);
for (; lo + 1 < hi; ) {
const unsigned long long mid = (lo + hi) / 2;
unsigned long long b = mid * mid;
for (unsigned i = 2; i < k; ++i) b *= mid;
((b <= a) ? lo : hi) = mid;
}
return lo;
} else if (k <= 63) {
return ((1ULL << k) <= a) ? 2 : 1;
} else {
return 1;
}
}
int main() {
Int X;
for (; ~scanf("%lld", &X); ) {
Int ans = -1;
if (X == 1) {
ans = 1;
} else {
for (Int e = 60; e >= 2; --e) {
const Int n = floorKthRoot(X, e);
Int ne = 1;
for (int i = 0; i < e; ++i) ne *= n;
if (ne == X) {
int cnt = 0;
for (Int d = 1; d * d <= n; ++d) if (n % d == 0) {
++cnt;
if (d != n/d) ++cnt;
}
if (cnt == e) {
ans = n;
goto found;
}
}
}
found:{}
}
printf("%lld\n", ans);
}
return 0;
}
詳細信息
Test #1:
score: 100
Accepted
time: 0ms
memory: 3816kb
input:
15625
output:
25
result:
ok single line: '25'
Test #2:
score: 0
Accepted
time: 0ms
memory: 3668kb
input:
64000000
output:
20
result:
ok single line: '20'
Test #3:
score: 0
Accepted
time: 2ms
memory: 3588kb
input:
65536
output:
-1
result:
ok single line: '-1'
Test #4:
score: 0
Accepted
time: 2ms
memory: 3528kb
input:
1
output:
1
result:
ok single line: '1'
Test #5:
score: 0
Accepted
time: 2ms
memory: 3648kb
input:
10
output:
-1
result:
ok single line: '-1'
Test #6:
score: 0
Accepted
time: 0ms
memory: 3568kb
input:
100
output:
-1
result:
ok single line: '-1'
Test #7:
score: 0
Accepted
time: 2ms
memory: 3588kb
input:
10000
output:
10
result:
ok single line: '10'
Test #8:
score: 0
Accepted
time: 2ms
memory: 3608kb
input:
1000000000000000000
output:
100
result:
ok single line: '100'
Test #9:
score: 0
Accepted
time: 2ms
memory: 3564kb
input:
10372926089038969
output:
218089
result:
ok single line: '218089'
Test #10:
score: 0
Accepted
time: 1ms
memory: 3584kb
input:
10642944803293201
output:
10157
result:
ok single line: '10157'
Test #11:
score: 0
Accepted
time: 2ms
memory: 3564kb
input:
10646534823110209
output:
103182047
result:
ok single line: '103182047'
Test #12:
score: 0
Accepted
time: 1ms
memory: 3588kb
input:
1073741824
output:
32
result:
ok single line: '32'
Test #13:
score: 0
Accepted
time: 0ms
memory: 3816kb
input:
121
output:
11
result:
ok single line: '11'
Test #14:
score: 0
Accepted
time: 2ms
memory: 3612kb
input:
1296
output:
6
result:
ok single line: '6'
Test #15:
score: 0
Accepted
time: 2ms
memory: 3820kb
input:
16
output:
-1
result:
ok single line: '-1'
Test #16:
score: 0
Accepted
time: 1ms
memory: 3580kb
input:
16277421889
output:
127583
result:
ok single line: '127583'
Test #17:
score: 0
Accepted
time: 2ms
memory: 3604kb
input:
169
output:
13
result:
ok single line: '13'
Test #18:
score: 0
Accepted
time: 2ms
memory: 3760kb
input:
1985984
output:
-1
result:
ok single line: '-1'
Test #19:
score: 0
Accepted
time: 0ms
memory: 3592kb
input:
2
output:
-1
result:
ok single line: '-1'
Test #20:
score: 0
Accepted
time: 0ms
memory: 3588kb
input:
205891132094649
output:
243
result:
ok single line: '243'
Test #21:
score: 0
Accepted
time: 2ms
memory: 3608kb
input:
25
output:
5
result:
ok single line: '5'
Test #22:
score: 0
Accepted
time: 0ms
memory: 3584kb
input:
2626114239841
output:
1273
result:
ok single line: '1273'
Test #23:
score: 0
Accepted
time: 2ms
memory: 3560kb
input:
26269395104446321
output:
12731
result:
ok single line: '12731'
Test #24:
score: 0
Accepted
time: 1ms
memory: 3616kb
input:
3
output:
-1
result:
ok single line: '-1'
Test #25:
score: 0
Accepted
time: 2ms
memory: 3768kb
input:
3596345248055296
output:
88
result:
ok single line: '88'
Test #26:
score: 0
Accepted
time: 0ms
memory: 3756kb
input:
36
output:
-1
result:
ok single line: '-1'
Test #27:
score: 0
Accepted
time: 2ms
memory: 3668kb
input:
4
output:
2
result:
ok single line: '2'
Test #28:
score: 0
Accepted
time: 2ms
memory: 3612kb
input:
4096
output:
8
result:
ok single line: '8'
Test #29:
score: 0
Accepted
time: 2ms
memory: 3524kb
input:
49
output:
7
result:
ok single line: '7'
Test #30:
score: 0
Accepted
time: 2ms
memory: 3668kb
input:
5
output:
-1
result:
ok single line: '-1'
Test #31:
score: 0
Accepted
time: 1ms
memory: 3824kb
input:
576460752303423488
output:
-1
result:
ok single line: '-1'
Test #32:
score: 0
Accepted
time: 2ms
memory: 3612kb
input:
581431415926321
output:
24112889
result:
ok single line: '24112889'
Test #33:
score: 0
Accepted
time: 2ms
memory: 3588kb
input:
6
output:
-1
result:
ok single line: '-1'
Test #34:
score: 0
Accepted
time: 2ms
memory: 3584kb
input:
64
output:
4
result:
ok single line: '4'
Test #35:
score: 0
Accepted
time: 2ms
memory: 3548kb
input:
656100000000
output:
30
result:
ok single line: '30'
Test #36:
score: 0
Accepted
time: 2ms
memory: 3608kb
input:
7
output:
-1
result:
ok single line: '-1'
Test #37:
score: 0
Accepted
time: 2ms
memory: 3560kb
input:
729
output:
9
result:
ok single line: '9'
Test #38:
score: 0
Accepted
time: 2ms
memory: 3588kb
input:
8
output:
-1
result:
ok single line: '-1'
Test #39:
score: 0
Accepted
time: 2ms
memory: 3808kb
input:
81
output:
-1
result:
ok single line: '-1'
Test #40:
score: 0
Accepted
time: 2ms
memory: 3616kb
input:
8527674378686464
output:
452
result:
ok single line: '452'
Test #41:
score: 0
Accepted
time: 2ms
memory: 3620kb
input:
9
output:
3
result:
ok single line: '3'
Test #42:
score: 0
Accepted
time: 1ms
memory: 3612kb
input:
982134461213542729
output:
994009
result:
ok single line: '994009'
Test #43:
score: 0
Accepted
time: 0ms
memory: 3588kb
input:
9992002399680016
output:
9998
result:
ok single line: '9998'
Test #44:
score: 0
Accepted
time: 2ms
memory: 3584kb
input:
999269311525198921
output:
-1
result:
ok single line: '-1'
Test #45:
score: 0
Accepted
time: 2ms
memory: 3588kb
input:
999949000866995087
output:
-1
result:
ok single line: '-1'
Test #46:
score: 0
Accepted
time: 2ms
memory: 3668kb
input:
999995482005103081
output:
-1
result:
ok single line: '-1'
Test #47:
score: 0
Accepted
time: 2ms
memory: 3588kb
input:
999999969999997921
output:
-1
result:
ok single line: '-1'
Test #48:
score: 0
Accepted
time: 2ms
memory: 3588kb
input:
999999999999999989
output:
-1
result:
ok single line: '-1'
Test #49:
score: 0
Accepted
time: 2ms
memory: 3588kb
input:
999999999999999999
output:
-1
result:
ok single line: '-1'