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QOJ
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 |
---|---|---|---|---|---|---|---|---|---|
#707108 | #6566. Power of Divisors | tassei903# | AC ✓ | 27ms | 7124kb | C++23 | 3.1kb | 2024-11-03 14:43:31 | 2024-11-03 14:43:34 |
Judging History
answer
#include <bits/stdc++.h>
#include <bits/extc++.h>
using namespace std;
#define sz(x) (int)(x).size()
#define rep(i, l, r) for (int i = l; i < (r); i++)
#define all(x) begin(x), end(x)
using ll = long long;
using vi = vector<int>;
const ll INF = numeric_limits<ll>::max() / 100;
struct MCMF{
struct edge {
int from, to, rev;
ll cap, cost, flow;
};
int N;
vector<vector<edge>> ed;
vi seen;
vector<ll> dist, pi;
vector<edge*> par;
MCMF(int N) : N(N), ed(N), seen(N), dist(N), pi(N), par(N) {}
void addEdge(int from, int to, ll cap, ll cost) {
if (from == to) return;
ed[from].push_back(edge{ from, to, sz(ed[to]), cap, cost, 0});
ed[to].push_back(edge{to, from, sz(ed[from])-1, 0, -cost, 0});
}
void path(int s) {
fill(all(seen), 0);
fill(all(dist), INF);
dist[s] = 0; ll di;
__gnu_pbds::priority_queue<pair<ll, int>> q;
vector<decltype(q)::point_iterator> its(N);
q.push({0, s});
while (!q.empty()) {
s = q.top().second; q.pop();
seen[s] = 1; di = dist[s] + pi[s];
for (edge& e : ed[s]) if (!seen[e.to]) {
ll val = di - pi[e.to] + e.cost;
if (e.cap - e.flow > 0 && val < dist[e.to]) {
dist[e.to] = val;
par[e.to] = &e;
if (its[e.to] == q.end()) {
its[e.to] = q.push({-dist[e.to], e.to});
}
else {
q.modify(its[e.to], {-dist[e.to], e.to});
}
}
}
}
rep(i,0,N) pi[i] = min(pi[i] + dist[i], INF);
}
pair<ll, ll> maxflow(int s, int t) {
ll totflow = 0, totcost = 0;
while (path(s), seen[t]) {
ll fl = INF;
for (edge* x = par[t]; x; x = par[x->from]) {
fl = min(fl, x->cap - x->flow);
}
totflow += fl;
for(edge* x = par[t]; x; x = par[x->from]) {
x->flow += fl;
ed[x->to][x->rev].flow -= fl;
}
}
rep(i, 0, N)for(edge& e : ed[i]) totcost += e.cost * e.flow;
return {totflow, totcost/2};
}
};
bool is_prime(ll x) {
for (ll a = 2; a * a <= x; a++) {
if (x % a == 0)return 0;
}
return 1;
}
const unsigned long long inf = 1e18 + 2;
unsigned long long safe_pow(unsigned long long x, int e) {
unsigned long long a = 1;
rep(_, 0, e) {
if (a > inf / x)return -1;
a *= x;
}
return a;
}
int N = 1000000;
int main() {
unsigned long long n;cin >> n;
if (n == 1) {
cout << 1 << endl;
return 0;
}
unsigned long long ok = 0, ng = 1e9+7;
while (ng - ok > 1) {
unsigned long long mid = ok + ng >> 1;
if (mid * mid <= n) {
ok = mid;
}
else {
ng = mid;
}
}
if (ok * ok == n && is_prime(ok)) {
cout << ok << endl;
return 0;
}
vector<int> d(N, 0);
rep(i, 1, N) {
for (int j = i; j < N; j += i) {
d[j]++;
}
unsigned long long x = safe_pow(i, d[i]);
// cout << i << " " << d[i] << " " << x << endl;
if (x == n){
cout << i << endl;
return 0;
}
}
cout << -1 << endl;
}
詳細信息
Test #1:
score: 100
Accepted
time: 0ms
memory: 6992kb
input:
15625
output:
25
result:
ok single line: '25'
Test #2:
score: 0
Accepted
time: 4ms
memory: 7056kb
input:
64000000
output:
20
result:
ok single line: '20'
Test #3:
score: 0
Accepted
time: 22ms
memory: 6984kb
input:
65536
output:
-1
result:
ok single line: '-1'
Test #4:
score: 0
Accepted
time: 0ms
memory: 3500kb
input:
1
output:
1
result:
ok single line: '1'
Test #5:
score: 0
Accepted
time: 22ms
memory: 7048kb
input:
10
output:
-1
result:
ok single line: '-1'
Test #6:
score: 0
Accepted
time: 26ms
memory: 7052kb
input:
100
output:
-1
result:
ok single line: '-1'
Test #7:
score: 0
Accepted
time: 0ms
memory: 7116kb
input:
10000
output:
10
result:
ok single line: '10'
Test #8:
score: 0
Accepted
time: 10ms
memory: 7048kb
input:
1000000000000000000
output:
100
result:
ok single line: '100'
Test #9:
score: 0
Accepted
time: 22ms
memory: 7124kb
input:
10372926089038969
output:
218089
result:
ok single line: '218089'
Test #10:
score: 0
Accepted
time: 18ms
memory: 6896kb
input:
10642944803293201
output:
10157
result:
ok single line: '10157'
Test #11:
score: 0
Accepted
time: 0ms
memory: 3760kb
input:
10646534823110209
output:
103182047
result:
ok single line: '103182047'
Test #12:
score: 0
Accepted
time: 6ms
memory: 7004kb
input:
1073741824
output:
32
result:
ok single line: '32'
Test #13:
score: 0
Accepted
time: 0ms
memory: 3512kb
input:
121
output:
11
result:
ok single line: '11'
Test #14:
score: 0
Accepted
time: 3ms
memory: 6984kb
input:
1296
output:
6
result:
ok single line: '6'
Test #15:
score: 0
Accepted
time: 26ms
memory: 7096kb
input:
16
output:
-1
result:
ok single line: '-1'
Test #16:
score: 0
Accepted
time: 0ms
memory: 3460kb
input:
16277421889
output:
127583
result:
ok single line: '127583'
Test #17:
score: 0
Accepted
time: 0ms
memory: 3504kb
input:
169
output:
13
result:
ok single line: '13'
Test #18:
score: 0
Accepted
time: 26ms
memory: 6932kb
input:
1985984
output:
-1
result:
ok single line: '-1'
Test #19:
score: 0
Accepted
time: 26ms
memory: 6988kb
input:
2
output:
-1
result:
ok single line: '-1'
Test #20:
score: 0
Accepted
time: 7ms
memory: 7004kb
input:
205891132094649
output:
243
result:
ok single line: '243'
Test #21:
score: 0
Accepted
time: 0ms
memory: 3728kb
input:
25
output:
5
result:
ok single line: '5'
Test #22:
score: 0
Accepted
time: 14ms
memory: 6980kb
input:
2626114239841
output:
1273
result:
ok single line: '1273'
Test #23:
score: 0
Accepted
time: 18ms
memory: 7052kb
input:
26269395104446321
output:
12731
result:
ok single line: '12731'
Test #24:
score: 0
Accepted
time: 26ms
memory: 7056kb
input:
3
output:
-1
result:
ok single line: '-1'
Test #25:
score: 0
Accepted
time: 9ms
memory: 7008kb
input:
3596345248055296
output:
88
result:
ok single line: '88'
Test #26:
score: 0
Accepted
time: 26ms
memory: 6988kb
input:
36
output:
-1
result:
ok single line: '-1'
Test #27:
score: 0
Accepted
time: 0ms
memory: 3592kb
input:
4
output:
2
result:
ok single line: '2'
Test #28:
score: 0
Accepted
time: 0ms
memory: 6928kb
input:
4096
output:
8
result:
ok single line: '8'
Test #29:
score: 0
Accepted
time: 0ms
memory: 3576kb
input:
49
output:
7
result:
ok single line: '7'
Test #30:
score: 0
Accepted
time: 27ms
memory: 7000kb
input:
5
output:
-1
result:
ok single line: '-1'
Test #31:
score: 0
Accepted
time: 26ms
memory: 7052kb
input:
576460752303423488
output:
-1
result:
ok single line: '-1'
Test #32:
score: 0
Accepted
time: 0ms
memory: 3408kb
input:
581431415926321
output:
24112889
result:
ok single line: '24112889'
Test #33:
score: 0
Accepted
time: 26ms
memory: 7052kb
input:
6
output:
-1
result:
ok single line: '-1'
Test #34:
score: 0
Accepted
time: 3ms
memory: 6912kb
input:
64
output:
4
result:
ok single line: '4'
Test #35:
score: 0
Accepted
time: 6ms
memory: 7052kb
input:
656100000000
output:
30
result:
ok single line: '30'
Test #36:
score: 0
Accepted
time: 27ms
memory: 6968kb
input:
7
output:
-1
result:
ok single line: '-1'
Test #37:
score: 0
Accepted
time: 3ms
memory: 7040kb
input:
729
output:
9
result:
ok single line: '9'
Test #38:
score: 0
Accepted
time: 22ms
memory: 7012kb
input:
8
output:
-1
result:
ok single line: '-1'
Test #39:
score: 0
Accepted
time: 23ms
memory: 7008kb
input:
81
output:
-1
result:
ok single line: '-1'
Test #40:
score: 0
Accepted
time: 12ms
memory: 6912kb
input:
8527674378686464
output:
452
result:
ok single line: '452'
Test #41:
score: 0
Accepted
time: 0ms
memory: 3528kb
input:
9
output:
3
result:
ok single line: '3'
Test #42:
score: 0
Accepted
time: 22ms
memory: 7052kb
input:
982134461213542729
output:
994009
result:
ok single line: '994009'
Test #43:
score: 0
Accepted
time: 18ms
memory: 6980kb
input:
9992002399680016
output:
9998
result:
ok single line: '9998'
Test #44:
score: 0
Accepted
time: 22ms
memory: 7068kb
input:
999269311525198921
output:
-1
result:
ok single line: '-1'
Test #45:
score: 0
Accepted
time: 22ms
memory: 6984kb
input:
999949000866995087
output:
-1
result:
ok single line: '-1'
Test #46:
score: 0
Accepted
time: 27ms
memory: 7088kb
input:
999995482005103081
output:
-1
result:
ok single line: '-1'
Test #47:
score: 0
Accepted
time: 26ms
memory: 7020kb
input:
999999969999997921
output:
-1
result:
ok single line: '-1'
Test #48:
score: 0
Accepted
time: 26ms
memory: 6992kb
input:
999999999999999989
output:
-1
result:
ok single line: '-1'
Test #49:
score: 0
Accepted
time: 26ms
memory: 7048kb
input:
999999999999999999
output:
-1
result:
ok single line: '-1'