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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#87888#5103. Fair DivisionzokerAC ✓849ms3444kbC++173.5kb2023-03-14 18:14:222023-03-14 18:14:26

Judging History

你现在查看的是最新测评结果

  • [2023-08-10 23:21:45]
  • System Update: QOJ starts to keep a history of the judgings of all the submissions.
  • [2023-03-14 18:14:26]
  • 评测
  • 测评结果:AC
  • 用时:849ms
  • 内存:3444kb
  • [2023-03-14 18:14:22]
  • 提交

answer

#include <bits/stdc++.h>
using namespace std;

//#pragma GCC optimize("O3,unroll-loops")
//#pragma GCC target("avx2,bmi,bmi2,lzcnt")

using ll = long long int;
using ull = unsigned long long int;
using vi = vector<ll>;
using ii = pair<ll,ll>;
using vii = vector<ii>;
using ld = long double;

#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace __gnu_pbds;
template<class T>
using ordered_set = tree < T, null_type, less<T>,
rb_tree_tag,
tree_order_statistics_node_update >;

#ifdef SA_DEBUG
template <class T>
void print(T a) {cerr << a << endl;}
template <class T, class... V> 
void print(T a, V... b) {cerr << a << ", "; print(b...);}
#define dbg(...) cerr << "[" << __LINE__ << "] " << #__VA_ARGS__ << " :: ", print(__VA_ARGS__)
#else
#define dbg(...) 7
#endif

#define eb emplace_back
#define fi first
#define se second

const ll INFL = 2e18;
const int INF = 1e9;
const double PI = acos(-1);
const ll mod = 1e9+7;

mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count());

template<class T, class V> 
ostream& operator << (ostream &s, pair<T, V> a){
	s << a.fi << ' ' << a.se; return s;
}

template<class T, class V> 
istream& operator >> (istream &s, pair<T, V> &a){
	s >> a.fi >> a.se; return s;
}

template<class T> 
ostream& operator << (ostream &s, vector<T> a){
	for(int i = 0; i < (int)a.size(); i++){
		if(i > 0)s << ' ' ; 
		s << a[i];
	} return s;
}

template<class T> 
istream& operator >> (istream &s, vector<T> &a){
	for(T &x : a)s >> x; 
	return s;
}

template<class T> 
void input(T a[], int l, int r, istream &s = cin){
	while(l <= r)s >> a[l++];
}

template<class T> 
void output(T a[], int l, int r, bool en = true, ostream &s = cout){
	while(l <= r){ s << a[l++];
		if(l <= r) s << ' ';
	} if(en)s << "\n";
}



const int N = 4e3+3, K = 26;
//====================================================================//
__int128 mx = 1e30;
__int128 pw(__int128 a, __int128 b){
	__int128 ans = 1;
	while(b){
		if(a > mx)return mx;
		if(b & 1){
			ans = ans * a;
			if(ans > mx)return mx;
		}
		a = a * a;
		b >>= 1;
	}
	return ans;
}
bool ok(ll n, ll m, ll p, ll q){
	if(n >= 60)return false;
	//__int128 calc = 0;
	//for(int i = 0; i < n; i++){
		//calc = calc + pw(q, i) * pw(p, n - i - 1);
	//}
	//for(int i = 1; i <= n; i++){
		//__int128 t = pw(q, n - i) * pw(p, i - 1) * m;
		//if(t % calc)return false;
	//}
	//return true;
	auto np = pw(p, n);
	auto nq = pw(q, n);
	auto dif = (np - nq) / (p - q);
	if(dif <= 0)return false;
	return m % dif == 0;
}
void testcase(){
	ll n, m;
	cin >> n >> m;
	//while(true){
		//for(int q = 2; q <= 100; q++){
			//for(int p = 1; p < q; p++){
				//if(p / __gcd(p, q) == 1)continue;
				//if(ok(n, m, p, q)){
					//dbg(m, p, q);
					//return;
				//}
			//}
		//}
		//m++;
	//}
	//dbg((ll)pw(1311, 6));
	//dbg((ll)pw(1231, 6));
	//dbg((ll)pw(1311, 6) - (ll)pw(1231, 6));
	//dbg(m % ((ll)pw(1311, 6) - (ll)pw(1231, 6)));
	for(int q = 2; q <= N; q++){
		for(int p = 1; p < q; p++){
			//__int128 dif = pw(q, n) - pw(p, n);
			//if(dif <= 0)continue;
			int g = __gcd(p, q);
			if(g != 1)continue;
			if(ok(n, m, p, q)){
				cout << q - p << ' ' << q << "\n";
				return;
			}
		}
	}
	cout << "impossible\n";
}





int main(){
	ios::sync_with_stdio(false);
	cin.tie(NULL);
	
	int T = 1;
	//cin >> T;
	
	for(int qq = 1; qq <= T; ++qq){
		//cout << "Case #" << qq << ": ";
		testcase();
	}
	return 0;
}
/*
6 1597352862016328480
*/

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 2ms
memory: 3316kb

input:

13 382475111752106101

output:

17 28

result:

ok single line: '17 28'

Test #2:

score: 0
Accepted
time: 0ms
memory: 3380kb

input:

59 576460752303423487

output:

1 2

result:

ok single line: '1 2'

Test #3:

score: 0
Accepted
time: 0ms
memory: 3312kb

input:

15 227368755046033249

output:

13 14

result:

ok single line: '13 14'

Test #4:

score: 0
Accepted
time: 2ms
memory: 3420kb

input:

27 72027091647987988

output:

1 4

result:

ok single line: '1 4'

Test #5:

score: 0
Accepted
time: 2ms
memory: 3384kb

input:

12 817283057828223168

output:

10 17

result:

ok single line: '10 17'

Test #6:

score: 0
Accepted
time: 2ms
memory: 3424kb

input:

40 279103330129289325

output:

1 2

result:

ok single line: '1 2'

Test #7:

score: 0
Accepted
time: 2ms
memory: 3356kb

input:

9 200754090585004509

output:

27 31

result:

ok single line: '27 31'

Test #8:

score: 0
Accepted
time: 2ms
memory: 3432kb

input:

13 145272043713167318

output:

11 19

result:

ok single line: '11 19'

Test #9:

score: 0
Accepted
time: 0ms
memory: 3324kb

input:

13 330339892079732537

output:

3 5

result:

ok single line: '3 5'

Test #10:

score: 0
Accepted
time: 2ms
memory: 3340kb

input:

8 518312274023062851

output:

35 81

result:

ok single line: '35 81'

Test #11:

score: 0
Accepted
time: 2ms
memory: 3288kb

input:

8 226575677743060500

output:

3 37

result:

ok single line: '3 37'

Test #12:

score: 0
Accepted
time: 1ms
memory: 3428kb

input:

22 947676267664323372

output:

5 6

result:

ok single line: '5 6'

Test #13:

score: 0
Accepted
time: 2ms
memory: 3428kb

input:

8 884152939068009488

output:

32 87

result:

ok single line: '32 87'

Test #14:

score: 0
Accepted
time: 1ms
memory: 3360kb

input:

10 334992255296783634

output:

1 2

result:

ok single line: '1 2'

Test #15:

score: 0
Accepted
time: 0ms
memory: 3344kb

input:

9 387165762000719100

output:

9 26

result:

ok single line: '9 26'

Test #16:

score: 0
Accepted
time: 2ms
memory: 3424kb

input:

13 966426794141592430

output:

5 23

result:

ok single line: '5 23'

Test #17:

score: 0
Accepted
time: 777ms
memory: 3344kb

input:

30 3882204456

output:

impossible

result:

ok single line: 'impossible'

Test #18:

score: 0
Accepted
time: 798ms
memory: 3344kb

input:

17 388292937745500

output:

impossible

result:

ok single line: 'impossible'

Test #19:

score: 0
Accepted
time: 849ms
memory: 3424kb

input:

7 77777777777777777

output:

impossible

result:

ok single line: 'impossible'

Test #20:

score: 0
Accepted
time: 810ms
memory: 3320kb

input:

6 1

output:

impossible

result:

ok single line: 'impossible'

Test #21:

score: 0
Accepted
time: 828ms
memory: 3288kb

input:

6 6

output:

impossible

result:

ok single line: 'impossible'

Test #22:

score: 0
Accepted
time: 826ms
memory: 3364kb

input:

6 666666666

output:

impossible

result:

ok single line: 'impossible'

Test #23:

score: 0
Accepted
time: 805ms
memory: 3316kb

input:

6 982698952174251648

output:

3966 3967

result:

ok single line: '3966 3967'

Test #24:

score: 0
Accepted
time: 2ms
memory: 3316kb

input:

6 998905704529596381

output:

1 2

result:

ok single line: '1 2'

Test #25:

score: 0
Accepted
time: 822ms
memory: 3316kb

input:

6 1000000000000000000

output:

impossible

result:

ok single line: 'impossible'

Test #26:

score: 0
Accepted
time: 50ms
memory: 3320kb

input:

7 983120539989861547

output:

996 997

result:

ok single line: '996 997'

Test #27:

score: 0
Accepted
time: 804ms
memory: 3356kb

input:

9 999999999999999998

output:

impossible

result:

ok single line: 'impossible'

Test #28:

score: 0
Accepted
time: 2ms
memory: 3252kb

input:

9 999999999999999999

output:

9 10

result:

ok single line: '9 10'

Test #29:

score: 0
Accepted
time: 811ms
memory: 3444kb

input:

9 1000000000000000000

output:

impossible

result:

ok single line: 'impossible'

Test #30:

score: 0
Accepted
time: 2ms
memory: 3416kb

input:

10 983231815060933795

output:

75 97

result:

ok single line: '75 97'

Test #31:

score: 0
Accepted
time: 0ms
memory: 3436kb

input:

11 725231960190597311

output:

60 61

result:

ok single line: '60 61'

Test #32:

score: 0
Accepted
time: 0ms
memory: 3292kb

input:

12 897612484786617600

output:

1 2

result:

ok single line: '1 2'

Test #33:

score: 0
Accepted
time: 835ms
memory: 3312kb

input:

14 897612484786617600

output:

impossible

result:

ok single line: 'impossible'

Test #34:

score: 0
Accepted
time: 2ms
memory: 3420kb

input:

59 576460752303423487

output:

1 2

result:

ok single line: '1 2'

Test #35:

score: 0
Accepted
time: 551ms
memory: 3352kb

input:

100 100000000000000

output:

impossible

result:

ok single line: 'impossible'

Test #36:

score: 0
Accepted
time: 564ms
memory: 3324kb

input:

8888 888888888888888888

output:

impossible

result:

ok single line: 'impossible'

Test #37:

score: 0
Accepted
time: 542ms
memory: 3380kb

input:

1000000 1

output:

impossible

result:

ok single line: 'impossible'

Test #38:

score: 0
Accepted
time: 551ms
memory: 3316kb

input:

1000000 1000000000000000000

output:

impossible

result:

ok single line: 'impossible'

Test #39:

score: 0
Accepted
time: 1ms
memory: 3288kb

input:

8 8170370

output:

1 7

result:

ok single line: '1 7'

Test #40:

score: 0
Accepted
time: 2ms
memory: 3424kb

input:

6 5386591

output:

1 16

result:

ok single line: '1 16'

Test #41:

score: 0
Accepted
time: 1ms
memory: 3288kb

input:

6 9874655

output:

1 18

result:

ok single line: '1 18'

Test #42:

score: 0
Accepted
time: 2ms
memory: 3288kb

input:

6 206896

output:

2 9

result:

ok single line: '2 9'

Test #43:

score: 0
Accepted
time: 2ms
memory: 3356kb

input:

7 7352101

output:

2 11

result:

ok single line: '2 11'

Test #44:

score: 0
Accepted
time: 2ms
memory: 3376kb

input:

6 6373472

output:

2 17

result:

ok single line: '2 17'

Test #45:

score: 0
Accepted
time: 1ms
memory: 3420kb

input:

6 1365

output:

3 4

result:

ok single line: '3 4'

Test #46:

score: 0
Accepted
time: 2ms
memory: 3344kb

input:

8 5462197

output:

3 8

result:

ok single line: '3 8'

Test #47:

score: 0
Accepted
time: 0ms
memory: 3376kb

input:

6 5757975

output:

3 14

result:

ok single line: '3 14'

Test #48:

score: 0
Accepted
time: 2ms
memory: 3320kb

input:

6 8913814

output:

4 19

result:

ok single line: '4 19'

Test #49:

score: 0
Accepted
time: 2ms
memory: 3324kb

input:

7 19531

output:

4 5

result:

ok single line: '4 5'

Test #50:

score: 0
Accepted
time: 0ms
memory: 3356kb

input:

7 7001653

output:

5 12

result:

ok single line: '5 12'

Test #51:

score: 0
Accepted
time: 2ms
memory: 3316kb

input:

6 9331

output:

5 6

result:

ok single line: '5 6'

Test #52:

score: 0
Accepted
time: 2ms
memory: 3368kb

input:

6 7036512

output:

6 19

result:

ok single line: '6 19'

Test #53:

score: 0
Accepted
time: 2ms
memory: 3256kb

input:

6 142753

output:

7 10

result:

ok single line: '7 10'

Test #54:

score: 0
Accepted
time: 2ms
memory: 3288kb

input:

6 8453313

output:

7 20

result:

ok single line: '7 20'

Test #55:

score: 0
Accepted
time: 2ms
memory: 3420kb

input:

6 8852298

output:

8 17

result:

ok single line: '8 17'

Test #56:

score: 0
Accepted
time: 1ms
memory: 3316kb

input:

6 1851063

output:

9 16

result:

ok single line: '9 16'

Test #57:

score: 0
Accepted
time: 2ms
memory: 3344kb

input:

6 8399456

output:

10 21

result:

ok single line: '10 21'

Test #58:

score: 0
Accepted
time: 2ms
memory: 3288kb

input:

6 7706011

output:

11 21

result:

ok single line: '11 21'

Test #59:

score: 0
Accepted
time: 2ms
memory: 3248kb

input:

6 402234

output:

12 13

result:

ok single line: '12 13'

Test #60:

score: 0
Accepted
time: 2ms
memory: 3336kb

input:

6 8680651

output:

13 22

result:

ok single line: '13 22'

Test #61:

score: 0
Accepted
time: 2ms
memory: 3376kb

input:

6 813616

output:

14 15

result:

ok single line: '14 15'

Test #62:

score: 0
Accepted
time: 2ms
memory: 3372kb

input:

6 9851583

output:

15 23

result:

ok single line: '15 23'

Test #63:

score: 0
Accepted
time: 2ms
memory: 3420kb

input:

6 9244890

output:

16 23

result:

ok single line: '16 23'

Test #64:

score: 0
Accepted
time: 2ms
memory: 3320kb

input:

6 8705249

output:

17 23

result:

ok single line: '17 23'

Test #65:

score: 0
Accepted
time: 2ms
memory: 3348kb

input:

6 8223348

output:

18 23

result:

ok single line: '18 23'

Test #66:

score: 0
Accepted
time: 2ms
memory: 3336kb

input:

6 5967325

output:

19 22

result:

ok single line: '19 22'

Test #67:

score: 0
Accepted
time: 2ms
memory: 3364kb

input:

6 7401758

output:

20 23

result:

ok single line: '20 23'

Test #68:

score: 0
Accepted
time: 0ms
memory: 3424kb

input:

6 7049325

output:

21 23

result:

ok single line: '21 23'

Test #69:

score: 0
Accepted
time: 2ms
memory: 3336kb

input:

6 8308825

output:

23 24

result:

ok single line: '23 24'

Test #70:

score: 0
Accepted
time: 797ms
memory: 3348kb

input:

6 999408045844421423

output:

3977 3980

result:

ok single line: '3977 3980'

Extra Test:

score: 0
Extra Test Passed