QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#87888 | #5103. Fair Division | zoker | AC ✓ | 849ms | 3444kb | C++17 | 3.5kb | 2023-03-14 18:14:22 | 2023-03-14 18:14:26 |
Judging History
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