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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#210384#4843. Infectious Diseaseucup-team1004AC ✓1022ms114940kbC++141.5kb2023-10-11 12:55:322023-10-11 12:55:33

Judging History

你现在查看的是最新测评结果

  • [2023-10-11 12:55:33]
  • 评测
  • 测评结果:AC
  • 用时:1022ms
  • 内存:114940kb
  • [2023-10-11 12:55:32]
  • 提交

answer

#include<bits/stdc++.h>
using namespace std;
using ll=long long;
template<typename T>
ostream& operator << (ostream &out,const vector<T>&x){
	if(x.empty())return out<<"[]";
	out<<'['<<x[0];
	for(int len=x.size(),i=1;i<len;i++)out<<','<<x[i];
	return out<<']';
}
template<typename T>
vector<T> ary(const T *a,int l,int r){
	return vector<T>{a+l,a+1+r};
}
template<typename T>
void debug(T x){
	cerr<<x<<'\n';
}
template<typename T,typename ...S>
void debug(T x,S ...y){
	cerr<<x<<' ',debug(y...);
}
const int N=1.4e7+10,M=15,K=1<<M|10,mod=1e9+7;
int n,m,f[M][K];
int fac[N],ifac[N],pw[K];
ll qpow(ll x,ll y=mod-2){
	ll ans=1;
	for(;y;(x*=x)%=mod,y>>=1)if(y&1)(ans*=x)%=mod;
	return ans;
}
void init(){
	for(m=0,pw[0]=1;pw[m]*3<=n;m++)pw[m+1]=pw[m]*3;
	for(int i=fac[0]=1;i<=n;i++)fac[i]=1ll*fac[i-1]*i%mod;
	ifac[n]=qpow(fac[n]);
	for(int i=n;i>=1;i--)ifac[i-1]=1ll*ifac[i]*i%mod;
}
int C(int n,int m){
	if(0>m||m>n)return 0;
	return 1ll*fac[n]*ifac[m]%mod*ifac[n-m]%mod;
}
int iC(int n,int m){
	if(0>m||m>n)return 0;
	return 1ll*ifac[n]*fac[m]%mod*fac[n-m]%mod;
}
int main(){
	cin>>n,init();
	f[0][1]=1;
	for(int i=0;i<m;i++){
		for(int j=1;j<=(1<<i);j++){
			if(!f[i][j])continue;
			int x=j,y=n-pw[i]-j,t=min(x,y);
			x+=t,y-=t;
			int z=pw[i]*2,l=max(0,z-y),r=min(x,z);
			for(int k=l;k<=r;k++){
				f[i+1][x-k]=(f[i+1][x-k]+1ll*f[i][j]*iC(x+y,z)%mod*C(x,k)%mod*C(y,z-k))%mod;
			}
		}
	}
	int ans=0;
	for(int i=0;i<=m;i++){
		for(int j=1;j<=(1<<i);j++){
			(ans+=f[i][j])%=mod;
		}
	}
	cout<<ans<<endl;
	return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 1ms
memory: 7640kb

input:

2

output:

1

result:

ok 1 number(s): "1"

Test #2:

score: 0
Accepted
time: 1ms
memory: 7756kb

input:

114

output:

505208013

result:

ok 1 number(s): "505208013"

Test #3:

score: 0
Accepted
time: 1022ms
memory: 114940kb

input:

14000000

output:

44565093

result:

ok 1 number(s): "44565093"

Test #4:

score: 0
Accepted
time: 993ms
memory: 101296kb

input:

12345678

output:

123143093

result:

ok 1 number(s): "123143093"

Test #5:

score: 0
Accepted
time: 63ms
memory: 13004kb

input:

776777

output:

764022068

result:

ok 1 number(s): "764022068"

Test #6:

score: 0
Accepted
time: 1ms
memory: 9860kb

input:

3

output:

1

result:

ok 1 number(s): "1"

Test #7:

score: 0
Accepted
time: 1ms
memory: 7764kb

input:

4

output:

666666673

result:

ok 1 number(s): "666666673"

Test #8:

score: 0
Accepted
time: 1ms
memory: 7776kb

input:

5

output:

833333341

result:

ok 1 number(s): "833333341"

Test #9:

score: 0
Accepted
time: 1ms
memory: 7820kb

input:

6

output:

300000004

result:

ok 1 number(s): "300000004"

Test #10:

score: 0
Accepted
time: 1ms
memory: 7768kb

input:

7

output:

533333339

result:

ok 1 number(s): "533333339"

Test #11:

score: 0
Accepted
time: 1ms
memory: 7828kb

input:

8

output:

952380961

result:

ok 1 number(s): "952380961"

Test #12:

score: 0
Accepted
time: 1ms
memory: 7776kb

input:

9

output:

964285723

result:

ok 1 number(s): "964285723"

Test #13:

score: 0
Accepted
time: 1ms
memory: 7772kb

input:

10

output:

416666672

result:

ok 1 number(s): "416666672"

Test #14:

score: 0
Accepted
time: 1ms
memory: 7832kb

input:

26

output:

990086590

result:

ok 1 number(s): "990086590"

Test #15:

score: 0
Accepted
time: 1ms
memory: 7696kb

input:

27

output:

528360342

result:

ok 1 number(s): "528360342"

Test #16:

score: 0
Accepted
time: 0ms
memory: 7764kb

input:

28

output:

273239648

result:

ok 1 number(s): "273239648"

Test #17:

score: 0
Accepted
time: 255ms
memory: 43568kb

input:

4782967

output:

332194401

result:

ok 1 number(s): "332194401"

Test #18:

score: 0
Accepted
time: 263ms
memory: 48304kb

input:

4782968

output:

362625027

result:

ok 1 number(s): "362625027"

Test #19:

score: 0
Accepted
time: 262ms
memory: 45980kb

input:

4782969

output:

971032452

result:

ok 1 number(s): "971032452"

Test #20:

score: 0
Accepted
time: 251ms
memory: 48264kb

input:

4782970

output:

452836984

result:

ok 1 number(s): "452836984"

Test #21:

score: 0
Accepted
time: 267ms
memory: 45596kb

input:

4782971

output:

349324970

result:

ok 1 number(s): "349324970"

Test #22:

score: 0
Accepted
time: 268ms
memory: 48348kb

input:

4782972

output:

46862963

result:

ok 1 number(s): "46862963"

Test #23:

score: 0
Accepted
time: 3ms
memory: 10276kb

input:

114514

output:

972669965

result:

ok 1 number(s): "972669965"

Test #24:

score: 0
Accepted
time: 229ms
memory: 23972kb

input:

1919810

output:

482430785

result:

ok 1 number(s): "482430785"

Test #25:

score: 0
Accepted
time: 956ms
memory: 77904kb

input:

8877877

output:

486769120

result:

ok 1 number(s): "486769120"