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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#822820#8428. Partition into TeamsIvanZhang2009AC ✓27ms18088kbC++203.6kb2024-12-20 16:51:352024-12-20 16:51:42

Judging History

你现在查看的是最新测评结果

  • [2024-12-20 16:51:42]
  • 评测
  • 测评结果:AC
  • 用时:27ms
  • 内存:18088kb
  • [2024-12-20 16:51:35]
  • 提交

answer

/*
 *                                                     __----~~~~~~~~~~~------___
 *                                    .  .   ~~//====......          __--~ ~~
 *                    -.            \_|//     |||\\  ~~~~~~::::... /~
 *                 ___-==_       _-~o~  \/    |||  \\            _/~~-
 *         __---~~~.==~||\=_    -_--~/_-~|-   |\\   \\        _/~
 *     _-~~     .=~    |  \\-_    '-~7  /-   /  ||    \      /
 *   .~       .~       |   \\ -_    /  /-   /   ||      \   /
 *  /  ____  /         |     \\ ~-_/  /|- _/   .||       \ /
 *  |~~    ~~|--~~~~--_ \     ~==-/   | \~--===~~        .\
 *           '         ~-|      /|    |-~\~~       __--~~
 *                       |-~~-_/ |    |   ~\_   _-~            /\
 *                            /  \     \__   \/~                \__
 *                        _--~ _/ | .-~~____--~-/                  ~~==.
 *                       ((->/~   '.|||' -_|    ~~-/ ,              . _||
 *                                  -_     ~\      ~~---l__i__i__i--~~_/
 *                                  _-~-__   ~)  \--______________--~~
 *                                //.-~~~-~_--~- |-------~~~~~~~~
 *                                       //.-~~~--\
 *                       ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
 *
 *                               神兽保佑            永无BUG
 */

/*
 * @Description: I want to be the weakest vegetable in the world!
 * @Author: I.Z.
*/
#include<bits/stdc++.h>
using namespace std;
#define int         long long
int MOD;
#define pii         pair<int,int>
#define all(v)      v.begin(),v.end()
#define pb          push_back
#define REP(i,b,e)  for(int i=(b);i<(int)(e);++i)
#define over(x)     {cout<<(x)<<endl;return;}
#define lowbit(x)   ((x)&(-(x)))
#define cntbit(x)   __builtin_popcount(x)
#define deal(v)     sort(all(v));v.erase(unique(v.begin(),v.end()),v.end())
#define lbound(v,x) lower_bound(all(v),x)-v.begin()
mt19937 sd(random_device{}());
int qpow(int a,int b,int m=MOD,int res=1){
	a%=m;
	while(b>0)res=(b&1)?(res*a%m):(res),a=a*a%m,b>>=1;
	return res;
}
int exgcd(int x,int y,int &a,int &b){
	if(y==0){
		a=1;b=0;
		return x;
	}
	int d=exgcd(y,x%y,a,b);
	int z=b;
	b=a-b*(x/y);
	a=z;
	return d;
}
int _x_,_y_;
inline int inverse(int x,int y=MOD){
	exgcd(x,y,_x_,_y_);
	return (_x_+y)%y;
}
int fac[2000005],inv[2000005];
void init(int n){
	fac[0]=inv[0]=1;
	REP(i,1,n+1)fac[i]=fac[i-1]*i%MOD;
	inv[n]=qpow(fac[n],MOD-2);
	for(int i=n-1;i>=1;--i)inv[i]=inv[i+1]*(i+1)%MOD;
}
int binom(int x,int y){
	return x<y||y<0? 0:fac[x]*inv[y]%MOD*inv[x-y]%MOD;
}
int n;
int calc(int x,int y){
	if(x<y||y<0)return 0;
	if(x<MOD)return binom(x,y);
	else if(!y||y==x)return 1;
	else return calc(x%MOD,y%MOD)*calc(x/MOD,y/MOD)%MOD;
}
map<pii,int>mp;
int solve(int n,int y){//求 sum C(n,2x)*C(2x+y,x)
	if(mp.find({n,y})!=mp.end())return mp[{n,y}];
	if(n<MOD){
		int ans=0;
		REP(i,0,n/2+1)(ans+=calc(n,2*i)*calc(2*i+y,i))%=MOD;
		return mp[{n,y}]=ans;
	}
	int ans=0;
	REP(i,0,MOD){
		//枚举 x%i
		int j=i*2%MOD;//x=ap+i, 2x+y=2ap+2i+y
		int co=calc(n%MOD,j)*calc((j+y)%MOD,i)%MOD;
		int c=solve(n/MOD,(j+y)/MOD);
		(ans+=c*co)%=MOD;
	}
	return mp[{n,y}]=ans;
}
void Main() {
	cin>>n>>MOD;
	init(min(n,MOD-1));
	int ans=solve(n,0);
	ans=qpow(3,n)+MOD-ans;ans*=(MOD+1)/2;
	ans%=MOD;
	over(ans)
}
void TC() {
    int tc=1;
	while(tc--){
		Main();
		cout.flush();
	}
}
signed main() {
	return cin.tie(0),cout.tie(0),ios::sync_with_stdio(0),TC(),0;
}
/*
1. CLEAR the arrays (ESPECIALLY multitests)
2. DELETE useless output
 */

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 5576kb

input:

5 5

output:

1

result:

ok 1 number(s): "1"

Test #2:

score: 0
Accepted
time: 1ms
memory: 5636kb

input:

5 7

output:

5

result:

ok 1 number(s): "5"

Test #3:

score: 0
Accepted
time: 0ms
memory: 5548kb

input:

789 97

output:

53

result:

ok 1 number(s): "53"

Test #4:

score: 0
Accepted
time: 0ms
memory: 5660kb

input:

98 23

output:

10

result:

ok 1 number(s): "10"

Test #5:

score: 0
Accepted
time: 1ms
memory: 5608kb

input:

398 7

output:

4

result:

ok 1 number(s): "4"

Test #6:

score: 0
Accepted
time: 0ms
memory: 5664kb

input:

272 31

output:

18

result:

ok 1 number(s): "18"

Test #7:

score: 0
Accepted
time: 1ms
memory: 5836kb

input:

920 199

output:

39

result:

ok 1 number(s): "39"

Test #8:

score: 0
Accepted
time: 1ms
memory: 5864kb

input:

390 5167

output:

1236

result:

ok 1 number(s): "1236"

Test #9:

score: 0
Accepted
time: 1ms
memory: 5612kb

input:

445 24337

output:

4546

result:

ok 1 number(s): "4546"

Test #10:

score: 0
Accepted
time: 1ms
memory: 5804kb

input:

28 586501

output:

269032

result:

ok 1 number(s): "269032"

Test #11:

score: 0
Accepted
time: 1ms
memory: 5584kb

input:

304 5

output:

0

result:

ok 1 number(s): "0"

Test #12:

score: 0
Accepted
time: 0ms
memory: 5872kb

input:

7158 41

output:

16

result:

ok 1 number(s): "16"

Test #13:

score: 0
Accepted
time: 1ms
memory: 5664kb

input:

8487 331

output:

148

result:

ok 1 number(s): "148"

Test #14:

score: 0
Accepted
time: 0ms
memory: 5584kb

input:

501 6763

output:

363

result:

ok 1 number(s): "363"

Test #15:

score: 0
Accepted
time: 1ms
memory: 5672kb

input:

3011 61129

output:

49319

result:

ok 1 number(s): "49319"

Test #16:

score: 0
Accepted
time: 0ms
memory: 5636kb

input:

7266 358159

output:

7643

result:

ok 1 number(s): "7643"

Test #17:

score: 0
Accepted
time: 1ms
memory: 5608kb

input:

360860 7

output:

1

result:

ok 1 number(s): "1"

Test #18:

score: 0
Accepted
time: 1ms
memory: 5620kb

input:

154939 19

output:

8

result:

ok 1 number(s): "8"

Test #19:

score: 0
Accepted
time: 0ms
memory: 5584kb

input:

813268 47

output:

40

result:

ok 1 number(s): "40"

Test #20:

score: 0
Accepted
time: 0ms
memory: 5676kb

input:

965601 1531

output:

1147

result:

ok 1 number(s): "1147"

Test #21:

score: 0
Accepted
time: 5ms
memory: 8420kb

input:

689332 78079

output:

17208

result:

ok 1 number(s): "17208"

Test #22:

score: 0
Accepted
time: 2ms
memory: 6072kb

input:

287719 34369

output:

15373

result:

ok 1 number(s): "15373"

Test #23:

score: 0
Accepted
time: 1ms
memory: 5596kb

input:

439237583 7

output:

6

result:

ok 1 number(s): "6"

Test #24:

score: 0
Accepted
time: 1ms
memory: 5532kb

input:

319142531 79

output:

21

result:

ok 1 number(s): "21"

Test #25:

score: 0
Accepted
time: 1ms
memory: 5664kb

input:

592330255 631

output:

530

result:

ok 1 number(s): "530"

Test #26:

score: 0
Accepted
time: 1ms
memory: 5628kb

input:

164278463 4517

output:

3038

result:

ok 1 number(s): "3038"

Test #27:

score: 0
Accepted
time: 4ms
memory: 7740kb

input:

753671285 65371

output:

22369

result:

ok 1 number(s): "22369"

Test #28:

score: 0
Accepted
time: 27ms
memory: 18088kb

input:

289665297 663127

output:

168503

result:

ok 1 number(s): "168503"

Test #29:

score: 0
Accepted
time: 1ms
memory: 5652kb

input:

350585676619 7

output:

5

result:

ok 1 number(s): "5"

Test #30:

score: 0
Accepted
time: 1ms
memory: 5572kb

input:

4283693890775 31

output:

1

result:

ok 1 number(s): "1"

Test #31:

score: 0
Accepted
time: 1ms
memory: 5584kb

input:

1234727503131 151

output:

67

result:

ok 1 number(s): "67"

Test #32:

score: 0
Accepted
time: 0ms
memory: 5812kb

input:

9399186742989 1327

output:

678

result:

ok 1 number(s): "678"

Test #33:

score: 0
Accepted
time: 2ms
memory: 5740kb

input:

1409645481800 8719

output:

1939

result:

ok 1 number(s): "1939"

Test #34:

score: 0
Accepted
time: 27ms
memory: 15588kb

input:

3782178721166 552859

output:

458256

result:

ok 1 number(s): "458256"

Test #35:

score: 0
Accepted
time: 0ms
memory: 5604kb

input:

827235816874722972 5

output:

2

result:

ok 1 number(s): "2"

Test #36:

score: 0
Accepted
time: 0ms
memory: 5600kb

input:

648249960855836992 61

output:

56

result:

ok 1 number(s): "56"

Test #37:

score: 0
Accepted
time: 1ms
memory: 5660kb

input:

467138518199434341 563

output:

202

result:

ok 1 number(s): "202"

Test #38:

score: 0
Accepted
time: 0ms
memory: 5676kb

input:

616207494477524619 653

output:

95

result:

ok 1 number(s): "95"

Test #39:

score: 0
Accepted
time: 0ms
memory: 7892kb

input:

129689263663821851 34403

output:

30422

result:

ok 1 number(s): "30422"

Test #40:

score: 0
Accepted
time: 27ms
memory: 13760kb

input:

605206340470214709 479971

output:

381982

result:

ok 1 number(s): "381982"