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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#707108#6566. Power of Divisorstassei903#AC ✓27ms7124kbC++233.1kb2024-11-03 14:43:312024-11-03 14:43:34

Judging History

你现在查看的是最新测评结果

  • [2024-11-03 14:43:34]
  • 评测
  • 测评结果:AC
  • 用时:27ms
  • 内存:7124kb
  • [2024-11-03 14:43:31]
  • 提交

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;
}

Details

Tip: Click on the bar to expand more detailed information

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'