QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#20888#2492. Hash FunctionhouzhiyuanakioiAC ✓2983ms5936kbC++1.9kb2022-02-20 17:49:292022-05-03 11:50:06

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.
  • [2022-05-03 11:50:06]
  • 评测
  • 测评结果:AC
  • 用时:2983ms
  • 内存:5936kb
  • [2022-02-20 17:49:29]
  • 提交

answer

#include<bits/stdc++.h>
using namespace std;
unordered_map<int,long long> mp;
int n,k2=0,k3=0;
bool has=false;
long long t1,t2,t3,h,ans,mod,c2[1<<20],c3[1<<20];
void dfs(long long x){
	if(has) return;
	mp.clear();
	long long b=x;
	for(int k=0;k<2*n;k+=2) if(x&(1ll<<k)) b^=(1ll<<(2*n-1-k/2));
	for(int k=1;k<2*n;k+=2) if(x&(1ll<<k)) b^=(1ll<<((k-1)/2));
	long long c=b^(b>>1);
	if(b&1) c^=(1ll<<(2*n-1));
	long long y=t2;
	int j=(1<<k2)-1;
	long long hy,hz;
	for(;y;y=((y-1)&t2),j--){
		hy=(239ll*(((x^y)>>n)<<n)+153ll*(((c^c2[j])>>n)<<n))%mod;
		mp[hy]=y;
	}
	y=j=0;
	hy=(239ll*(((x^y)>>n)<<n)+153ll*(((c^c2[j])>>n)<<n))%mod;
	mp[hy]=y;
	long long z=t3;
	j=(1<<k3)-1;
	for(;z;z=((z-1)&t3),j--){
		hz=(239ll*((x^z)&((1<<n)-1))+153ll*((c^c3[j])&((1<<n)-1)))%mod;
		hz=h-hz;
		if(hz<0) hz+=mod;
		if(mp.count(hz)){
			has=true;
			ans=mp[hz]^x^z;
		}
	}
	z=j=0;
	hz=(239ll*((x^z)&((1<<n)-1))+153ll*((c^c3[j])&((1<<n)-1)))%mod;
	hz=h-hz;
	if(hz<0) hz+=mod;
	if(mp.count(hz)){
		has=true;
		ans=mp[hz]^x^z;
	}
}
int main(){
	scanf("%d%lld",&n,&h);
	mod=(1ll<<(2*n-1))-1;
	t1=2;
	for(int i=0;i<=n-1;i+=2) t1^=(1<<i);
	t1|=(1<<n);
	t1|=(1ll<<(2*n-2));
	for(int i=2*n-1;i>=n+1;i-=2) t1|=(1ll<<i);
	t2=0;
	for(int i=2*n-4;i>=n+1;i-=2){t2|=(1ll<<i);k2++;}
	t3=0;
	for(int i=3;i<=n-1;i+=2){t3|=(1ll<<i);k3++;}
	for(long long i=t2,j=((1<<k2)-1);i;i=((i-1)&t2),j--){
		long long b=i;
		for(int k=0;k<2*n;k+=2) if(i&(1ll<<k)) b^=(1ll<<(2*n-1-k/2));
		for(int k=1;k<2*n;k+=2) if(i&(1ll<<k)) b^=(1ll<<((k-1)/2));
		c2[j]=b^(b>>1);
		if(b&1) c2[j]^=(1ll<<(2*n-1));
	}
	c2[0]=0;
	for(long long i=t3,j=((1<<k3)-1);i;i=((i-1)&t3),j--){
		long long b=i;
		for(int k=0;k<2*n;k+=2) if(i&(1ll<<k)) b^=(1ll<<(2*n-1-k/2));
		for(int k=1;k<2*n;k+=2) if(i&(1ll<<k)) b^=(1ll<<((k-1)/2));
		c3[j]=b^(b>>1);
		if(b&1) c3[j]^=(1ll<<(2*n-1));
	}
	c3[0]=0;
	for(long long x=t1;x;x=((x-1)&t1)) dfs(x);
	dfs(0);
	printf("%lld",ans);
	return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 5860kb

input:

4 83

output:

145

result:

ok good solution

Test #2:

score: 0
Accepted
time: 7ms
memory: 5828kb

input:

10 497091

output:

548470

result:

ok good solution

Test #3:

score: 0
Accepted
time: 3ms
memory: 5880kb

input:

4 55

output:

234

result:

ok good solution

Test #4:

score: 0
Accepted
time: 751ms
memory: 5872kb

input:

15 444650548

output:

531938370

result:

ok good solution

Test #5:

score: 0
Accepted
time: 288ms
memory: 5872kb

input:

14 114355996

output:

125553692

result:

ok good solution

Test #6:

score: 0
Accepted
time: 316ms
memory: 5728kb

input:

16 0

output:

4146704040

result:

ok good solution

Test #7:

score: 0
Accepted
time: 3ms
memory: 5836kb

input:

3 22

output:

63

result:

ok good solution

Test #8:

score: 0
Accepted
time: 1ms
memory: 5876kb

input:

8 8319

output:

62746

result:

ok good solution

Test #9:

score: 0
Accepted
time: 2ms
memory: 5832kb

input:

12 7629490

output:

15121216

result:

ok good solution

Test #10:

score: 0
Accepted
time: 2ms
memory: 5836kb

input:

2 2

output:

14

result:

ok good solution

Test #11:

score: 0
Accepted
time: 319ms
memory: 5768kb

input:

16 0

output:

4146704040

result:

ok good solution

Test #12:

score: 0
Accepted
time: 316ms
memory: 5796kb

input:

16 0

output:

4146704040

result:

ok good solution

Test #13:

score: 0
Accepted
time: 317ms
memory: 5768kb

input:

16 0

output:

4146704040

result:

ok good solution

Test #14:

score: 0
Accepted
time: 6ms
memory: 5932kb

input:

11 1086647

output:

3757717

result:

ok good solution

Test #15:

score: 0
Accepted
time: 7ms
memory: 5864kb

input:

11 188671

output:

3617165

result:

ok good solution

Test #16:

score: 0
Accepted
time: 8ms
memory: 5740kb

input:

11 2028522

output:

3482225

result:

ok good solution

Test #17:

score: 0
Accepted
time: 77ms
memory: 5764kb

input:

13 23601796

output:

40518521

result:

ok good solution

Test #18:

score: 0
Accepted
time: 3ms
memory: 5732kb

input:

8 29405

output:

42924

result:

ok good solution

Test #19:

score: 0
Accepted
time: 0ms
memory: 5764kb

input:

7 2218

output:

13098

result:

ok good solution

Test #20:

score: 0
Accepted
time: 3ms
memory: 5860kb

input:

7 432

output:

13621

result:

ok good solution

Test #21:

score: 0
Accepted
time: 4ms
memory: 5724kb

input:

11 899191

output:

4131409

result:

ok good solution

Test #22:

score: 0
Accepted
time: 1ms
memory: 5876kb

input:

5 494

output:

281

result:

ok good solution

Test #23:

score: 0
Accepted
time: 3ms
memory: 5876kb

input:

8 13862

output:

51543

result:

ok good solution

Test #24:

score: 0
Accepted
time: 3ms
memory: 5728kb

input:

11 899027

output:

3346232

result:

ok good solution

Test #25:

score: 0
Accepted
time: 3ms
memory: 5828kb

input:

8 7446

output:

53245

result:

ok good solution

Test #26:

score: 0
Accepted
time: 3ms
memory: 5764kb

input:

3 12

output:

54

result:

ok good solution

Test #27:

score: 0
Accepted
time: 3ms
memory: 5876kb

input:

8 6258

output:

58462

result:

ok good solution

Test #28:

score: 0
Accepted
time: 867ms
memory: 5868kb

input:

15 191474555

output:

411455767

result:

ok good solution

Test #29:

score: 0
Accepted
time: 3ms
memory: 5724kb

input:

3 17

output:

28

result:

ok good solution

Test #30:

score: 0
Accepted
time: 824ms
memory: 5880kb

input:

15 161474861

output:

520423443

result:

ok good solution

Test #31:

score: 0
Accepted
time: 2ms
memory: 5868kb

input:

10 180816

output:

869271

result:

ok good solution

Test #32:

score: 0
Accepted
time: 0ms
memory: 5772kb

input:

4 116

output:

246

result:

ok good solution

Test #33:

score: 0
Accepted
time: 2345ms
memory: 5884kb

input:

16 1196684556

output:

1973553583

result:

ok good solution

Test #34:

score: 0
Accepted
time: 528ms
memory: 5936kb

input:

16 1087033358

output:

3403352030

result:

ok good solution

Test #35:

score: 0
Accepted
time: 1213ms
memory: 5864kb

input:

16 2112546660

output:

2823255398

result:

ok good solution

Test #36:

score: 0
Accepted
time: 692ms
memory: 5844kb

input:

16 130507716

output:

3358127644

result:

ok good solution

Test #37:

score: 0
Accepted
time: 2983ms
memory: 5872kb

input:

16 1531459999

output:

1004811660

result:

ok good solution

Test #38:

score: 0
Accepted
time: 422ms
memory: 5724kb

input:

16 1905706077

output:

4053438312

result:

ok good solution

Test #39:

score: 0
Accepted
time: 1592ms
memory: 5880kb

input:

16 1584950777

output:

2565491169

result:

ok good solution

Test #40:

score: 0
Accepted
time: 2316ms
memory: 5880kb

input:

16 1112585098

output:

1917567299

result:

ok good solution

Test #41:

score: 0
Accepted
time: 560ms
memory: 5884kb

input:

16 1527899944

output:

3397200385

result:

ok good solution

Test #42:

score: 0
Accepted
time: 992ms
memory: 5864kb

input:

16 1234237908

output:

2881349673

result:

ok good solution

Test #43:

score: 0
Accepted
time: 362ms
memory: 5932kb

input:

16 922629865

output:

4077846074

result:

ok good solution

Test #44:

score: 0
Accepted
time: 186ms
memory: 5884kb

input:

16 2079610945


output:

4169495274

result:

ok good solution

Test #45:

score: 0
Accepted
time: 1156ms
memory: 5872kb

input:

16 125431469

output:

3184552951

result:

ok good solution

Test #46:

score: 0
Accepted
time: 1629ms
memory: 5796kb

input:

16 425515915

output:

2363405195

result:

ok good solution

Test #47:

score: 0
Accepted
time: 876ms
memory: 5740kb

input:

16 882748949

output:

3504776721

result:

ok good solution

Test #48:

score: 0
Accepted
time: 872ms
memory: 5880kb

input:

16 1647578253

output:

3589525264

result:

ok good solution

Test #49:

score: 0
Accepted
time: 1402ms
memory: 5880kb

input:

16 1687169193

output:

2777294995

result:

ok good solution

Test #50:

score: 0
Accepted
time: 1914ms
memory: 5880kb

input:

16 702542621

output:

2485649646

result:

ok good solution