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#745372#5103. Fair Divisionhuan_ypAC ✓2658ms3988kbC++20925b2024-11-14 09:30:152024-11-14 09:30:16

Judging History

你现在查看的是最新测评结果

  • [2024-11-14 09:30:16]
  • 评测
  • 测评结果：AC
  • 用时：2658ms
  • 内存：3988kb
查看
  • [2024-11-14 09:30:15]
  • 提交

answer

#include<bits/stdc++.h>
#define int long long
using namespace std;
__int128 gcd(__int128 x, __int128 y){
	return !y?x:gcd(y, x%y);
}
signed main(){
	int n, m;
	cin>>n>>m;
	if(n>60){
		return puts("impossible"), 0;
	}
	int ap=8005, aq=8005;
	for(int q=2;q<=4005;q++){
		if(pow((double)q, n-1)>1e18)continue;
		for(int p=1, k;p<q;p++){
			if(__gcd(p, q)!=1||p+q>ap+aq)continue;
			__int128 ss=1, sst=1;
			for(k=1;k<=n;k++){
				ss=ss*q, sst=sst*(q-p);
			}
			__int128 tm=m, fm=(ss-sst)*q, fz=ss*p, g;
			g=gcd(fz, fm);
			fm/=g, fz/=g;
			g=gcd(fm, tm);
			fm/=g, tm/=g;
			if(fm!=1)continue;
			for(k=1;k<n;k++){
				if(tm%q==0){
					tm/=q;
					continue;
				}
				if(fz%q==0){
					fz/=q;
					continue;
				}
				break;
			}
			if(k!=n)continue;
			if(p+q<ap+aq)ap=p, aq=q;
		}
	}
	if(ap+aq>10000){
		return puts("impossible"), 0;
	}
	cout<<ap<<' '<<aq<<'\n';
	return 0;
}
源文件, 语言: C++20

详细

Test #1:

score: 100
Accepted
time: 1ms
memory: 3908kb

input:

13 382475111752106101

output:

17 28

result:

ok single line: '17 28'

Test #2:

score: 0
Accepted
time: 0ms
memory: 3852kb

input:

59 576460752303423487

output:

1 2

result:

ok single line: '1 2'

Test #3:

score: 0
Accepted
time: 0ms
memory: 3792kb

input:

15 227368755046033249

output:

13 14

result:

ok single line: '13 14'

Test #4:

score: 0
Accepted
time: 0ms
memory: 3912kb

input:

27 72027091647987988

output:

1 4

result:

ok single line: '1 4'

Test #5:

score: 0
Accepted
time: 0ms
memory: 3960kb

input:

12 817283057828223168

output:

10 17

result:

ok single line: '10 17'

Test #6:

score: 0
Accepted
time: 0ms
memory: 3836kb

input:

40 279103330129289325

output:

1 2

result:

ok single line: '1 2'

Test #7:

score: 0
Accepted
time: 1ms
memory: 3964kb

input:

9 200754090585004509

output:

27 31

result:

ok single line: '27 31'

Test #8:

score: 0
Accepted
time: 0ms
memory: 3924kb

input:

13 145272043713167318

output:

11 19

result:

ok single line: '11 19'

Test #9:

score: 0
Accepted
time: 0ms
memory: 3836kb

input:

13 330339892079732537

output:

3 5

result:

ok single line: '3 5'

Test #10:

score: 0
Accepted
time: 4ms
memory: 3784kb

input:

8 518312274023062851

output:

35 81

result:

ok single line: '35 81'

Test #11:

score: 0
Accepted
time: 3ms
memory: 3984kb

input:

8 226575677743060500

output:

3 37

result:

ok single line: '3 37'

Test #12:

score: 0
Accepted
time: 0ms
memory: 3836kb

input:

22 947676267664323372

output:

5 6

result:

ok single line: '5 6'

Test #13:

score: 0
Accepted
time: 4ms
memory: 3844kb

input:

8 884152939068009488

output:

32 87

result:

ok single line: '32 87'

Test #14:

score: 0
Accepted
time: 1ms
memory: 3840kb

input:

10 334992255296783634

output:

1 2

result:

ok single line: '1 2'

Test #15:

score: 0
Accepted
time: 1ms
memory: 3844kb

input:

9 387165762000719100

output:

9 26

result:

ok single line: '9 26'

Test #16:

score: 0
Accepted
time: 0ms
memory: 3784kb

input:

13 966426794141592430

output:

5 23

result:

ok single line: '5 23'

Test #17:

score: 0
Accepted
time: 0ms
memory: 3956kb

input:

30 3882204456

output:

impossible

result:

ok single line: 'impossible'

Test #18:

score: 0
Accepted
time: 0ms
memory: 3824kb

input:

17 388292937745500

output:

impossible

result:

ok single line: 'impossible'

Test #19:

score: 0
Accepted
time: 158ms
memory: 3788kb

input:

7 77777777777777777

output:

impossible

result:

ok single line: 'impossible'

Test #20:

score: 0
Accepted
time: 1702ms
memory: 3748kb

input:

6 1

output:

impossible

result:

ok single line: 'impossible'

Test #21:

score: 0
Accepted
time: 1752ms
memory: 3988kb

input:

6 6

output:

impossible

result:

ok single line: 'impossible'

Test #22:

score: 0
Accepted
time: 2190ms
memory: 3964kb

input:

6 666666666

output:

impossible

result:

ok single line: 'impossible'

Test #23:

score: 0
Accepted
time: 2615ms
memory: 3844kb

input:

6 982698952174251648

output:

3966 3967

result:

ok single line: '3966 3967'

Test #24:

score: 0
Accepted
time: 362ms
memory: 3788kb

input:

6 998905704529596381

output:

1 2

result:

ok single line: '1 2'

Test #25:

score: 0
Accepted
time: 2658ms
memory: 3792kb

input:

6 1000000000000000000

output:

impossible

result:

ok single line: 'impossible'

Test #26:

score: 0
Accepted
time: 161ms
memory: 3816kb

input:

7 983120539989861547

output:

996 997

result:

ok single line: '996 997'

Test #27:

score: 0
Accepted
time: 5ms
memory: 3840kb

input:

9 999999999999999998

output:

impossible

result:

ok single line: 'impossible'

Test #28:

score: 0
Accepted
time: 0ms
memory: 3840kb

input:

9 999999999999999999

output:

9 10

result:

ok single line: '9 10'

Test #29:

score: 0
Accepted
time: 5ms
memory: 3844kb

input:

9 1000000000000000000

output:

impossible

result:

ok single line: 'impossible'

Test #30:

score: 0
Accepted
time: 2ms
memory: 3832kb

input:

10 983231815060933795

output:

75 97

result:

ok single line: '75 97'

Test #31:

score: 0
Accepted
time: 1ms
memory: 3848kb

input:

11 725231960190597311

output:

60 61

result:

ok single line: '60 61'

Test #32:

score: 0
Accepted
time: 0ms
memory: 3836kb

input:

12 897612484786617600

output:

1 2

result:

ok single line: '1 2'

Test #33:

score: 0
Accepted
time: 0ms
memory: 3968kb

input:

14 897612484786617600

output:

impossible

result:

ok single line: 'impossible'

Test #34:

score: 0
Accepted
time: 0ms
memory: 3852kb

input:

59 576460752303423487

output:

1 2

result:

ok single line: '1 2'

Test #35:

score: 0
Accepted
time: 0ms
memory: 3592kb

input:

100 100000000000000

output:

impossible

result:

ok single line: 'impossible'

Test #36:

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

input:

8888 888888888888888888

output:

impossible

result:

ok single line: 'impossible'

Test #37:

score: 0
Accepted
time: 0ms
memory: 3588kb

input:

1000000 1

output:

impossible

result:

ok single line: 'impossible'

Test #38:

score: 0
Accepted
time: 0ms
memory: 3720kb

input:

1000000 1000000000000000000

output:

impossible

result:

ok single line: 'impossible'

Test #39:

score: 0
Accepted
time: 0ms
memory: 3844kb

input:

8 8170370

output:

1 7

result:

ok single line: '1 7'

Test #40:

score: 0
Accepted
time: 362ms
memory: 3848kb

input:

6 5386591

output:

1 16

result:

ok single line: '1 16'

Test #41:

score: 0
Accepted
time: 361ms
memory: 3840kb

input:

6 9874655

output:

1 18

result:

ok single line: '1 18'

Test #42:

score: 0
Accepted
time: 362ms
memory: 3960kb

input:

6 206896

output:

2 9

result:

ok single line: '2 9'

Test #43:

score: 0
Accepted
time: 20ms
memory: 3832kb

input:

7 7352101

output:

2 11

result:

ok single line: '2 11'

Test #44:

score: 0
Accepted
time: 357ms
memory: 3784kb

input:

6 6373472

output:

2 17

result:

ok single line: '2 17'

Test #45:

score: 0
Accepted
time: 357ms
memory: 3788kb

input:

6 1365

output:

3 4

result:

ok single line: '3 4'

Test #46:

score: 0
Accepted
time: 3ms
memory: 3816kb

input:

8 5462197

output:

3 8

result:

ok single line: '3 8'

Test #47:

score: 0
Accepted
time: 364ms
memory: 3852kb

input:

6 5757975

output:

3 14

result:

ok single line: '3 14'

Test #48:

score: 0
Accepted
time: 361ms
memory: 3908kb

input:

6 8913814

output:

4 19

result:

ok single line: '4 19'

Test #49:

score: 0
Accepted
time: 20ms
memory: 3792kb

input:

7 19531

output:

4 5

result:

ok single line: '4 5'

Test #50:

score: 0
Accepted
time: 20ms
memory: 3716kb

input:

7 7001653

output:

5 12

result:

ok single line: '5 12'

Test #51:

score: 0
Accepted
time: 361ms
memory: 3916kb

input:

6 9331

output:

5 6

result:

ok single line: '5 6'

Test #52:

score: 0
Accepted
time: 363ms
memory: 3968kb

input:

6 7036512

output:

6 19

result:

ok single line: '6 19'

Test #53:

score: 0
Accepted
time: 361ms
memory: 3712kb

input:

6 142753

output:

7 10

result:

ok single line: '7 10'

Test #54:

score: 0
Accepted
time: 357ms
memory: 3712kb

input:

6 8453313

output:

7 20

result:

ok single line: '7 20'

Test #55:

score: 0
Accepted
time: 361ms
memory: 3780kb

input:

6 8852298

output:

8 17

result:

ok single line: '8 17'

Test #56:

score: 0
Accepted
time: 364ms
memory: 3840kb

input:

6 1851063

output:

9 16

result:

ok single line: '9 16'

Test #57:

score: 0
Accepted
time: 361ms
memory: 3712kb

input:

6 8399456

output:

10 21

result:

ok single line: '10 21'

Test #58:

score: 0
Accepted
time: 361ms
memory: 3808kb

input:

6 7706011

output:

11 21

result:

ok single line: '11 21'

Test #59:

score: 0
Accepted
time: 361ms
memory: 3960kb

input:

6 402234

output:

12 13

result:

ok single line: '12 13'

Test #60:

score: 0
Accepted
time: 361ms
memory: 3984kb

input:

6 8680651

output:

13 22

result:

ok single line: '13 22'

Test #61:

score: 0
Accepted
time: 364ms
memory: 3832kb

input:

6 813616

output:

14 15

result:

ok single line: '14 15'

Test #62:

score: 0
Accepted
time: 361ms
memory: 3712kb

input:

6 9851583

output:

15 23

result:

ok single line: '15 23'

Test #63:

score: 0
Accepted
time: 363ms
memory: 3772kb

input:

6 9244890

output:

16 23

result:

ok single line: '16 23'

Test #64:

score: 0
Accepted
time: 361ms
memory: 3808kb

input:

6 8705249

output:

17 23

result:

ok single line: '17 23'

Test #65:

score: 0
Accepted
time: 362ms
memory: 3988kb

input:

6 8223348

output:

18 23

result:

ok single line: '18 23'

Test #66:

score: 0
Accepted
time: 363ms
memory: 3744kb

input:

6 5967325

output:

19 22

result:

ok single line: '19 22'

Test #67:

score: 0
Accepted
time: 359ms
memory: 3988kb

input:

6 7401758

output:

20 23

result:

ok single line: '20 23'

Test #68:

score: 0
Accepted
time: 357ms
memory: 3960kb

input:

6 7049325

output:

21 23

result:

ok single line: '21 23'

Test #69:

score: 0
Accepted
time: 361ms
memory: 3852kb

input:

6 8308825

output:

23 24

result:

ok single line: '23 24'

Test #70:

score: 0
Accepted
time: 2643ms
memory: 3788kb

input:

6 999408045844421423

output:

3977 3980

result:

ok single line: '3977 3980'

Extra Test:

score: 0
Extra Test Passed
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服务器时间: 2024-11-30 09:57:43 | 开源项目