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QOJ
ID | 题目 | 提交者 | 结果 | 用时 | 内存 | 语言 | 文件大小 | 提交时间 | 测评时间 |
---|---|---|---|---|---|---|---|---|---|
#85064 | #5658. Problem Setting | myee | 100 ✓ | 423ms | 190192kb | C++11 | 5.2kb | 2023-03-06 22:20:12 | 2023-03-06 22:20:28 |
Judging History
answer
// 那就是希望。
// 即便需要取模,也是光明。
// semi-semi relaxed convolution.
// 半半在线卷积。
// naive and trivial.
// 平凡而普通的。
#include <algorithm>
#include <stdio.h>
#include <vector>
typedef long long llt;
typedef unsigned uint;typedef unsigned long long ullt;
typedef bool bol;typedef char chr;typedef void voi;
typedef double dbl;
template<typename T>bol _max(T&a,T b){return(a<b)?a=b,true:false;}
template<typename T>bol _min(T&a,T b){return(b<a)?a=b,true:false;}
template<typename T>T lowbit(T n){return n&-n;}
template<typename T>T gcd(T a,T b){return b?gcd(b,a%b):a;}
template<typename T>T lcm(T a,T b){return(a!=0||b!=0)?a/gcd(a,b)*b:(T)0;}
template<typename T>T exgcd(T a,T b,T&x,T&y){if(b!=0){T ans=exgcd(b,a%b,y,x);y-=a/b*x;return ans;}else return y=0,x=1,a;}
template<typename T>T power(T base,T index,T mod)
{
T ans=1%mod;
while(index)
{
if(index&1)ans=ans*base%mod;
base=base*base%mod,index>>=1;
}
return ans;
}
namespace ConstMod
{
template<const ullt p>
class mod_ullt
{
private:
ullt v;
inline ullt chg(ullt w){return(w<p)?w:w-p;}
inline mod_ullt _chg(ullt w){mod_ullt ans;ans.v=(w<p)?w:w-p;return ans;}
public:
mod_ullt():v(0){}
mod_ullt(ullt v):v(v%p){}
bol empty(){return!v;}
inline ullt val(){return v;}
friend bol operator<(mod_ullt a,mod_ullt b){return a.v<b.v;}
friend bol operator>(mod_ullt a,mod_ullt b){return a.v>b.v;}
friend bol operator<=(mod_ullt a,mod_ullt b){return a.v<=b.v;}
friend bol operator>=(mod_ullt a,mod_ullt b){return a.v>=b.v;}
friend bol operator==(mod_ullt a,mod_ullt b){return a.v==b.v;}
friend bol operator!=(mod_ullt a,mod_ullt b){return a.v!=b.v;}
inline friend mod_ullt operator+(mod_ullt a,mod_ullt b){return a._chg(a.v+b.v);}
inline friend mod_ullt operator-(mod_ullt a,mod_ullt b){return a._chg(a.v+a.chg(p-b.v));}
inline friend mod_ullt operator*(mod_ullt a,mod_ullt b){return a.v*b.v;}
friend mod_ullt operator/(mod_ullt a,mod_ullt b){return b._power(p-2)*a.v;}
friend mod_ullt operator^(mod_ullt a,ullt b){return a._power(b);}
inline mod_ullt operator-(){return _chg(p-v);}
mod_ullt sqrt()
{
if(power(v,(p-1)>>1,p)!=1)return 0;
mod_ullt b=1;do b++;while(b._power((p-1)>>1)==1);
ullt t=p-1,s=0,k=1;while(!(t&1))s++,t>>=1;
mod_ullt x=_power((t+1)>>1),e=_power(t);
while(k<s)
{
if(e._power(1llu<<(s-k-1))!=1)x*=b._power((1llu<<(k-1))*t);
e=_power(p-2)*x*x,k++;
}
return _min(x,-x),x;
}
mod_ullt inv(){return _power(p-2);}
mod_ullt _power(ullt index){mod_ullt ans(1),w(v);while(index){if(index&1)ans*=w;w*=w,index>>=1;}return ans;}
voi read(){v=0;chr c;do c=getchar();while(c>'9'||c<'0');do v=(c-'0'+v*10)%p,c=getchar();while(c>='0'&&c<='9');v%=p;}
voi print()
{
static chr C[20];uint tp=0;
ullt w=v;do C[tp++]=w%10+'0',w/=10;while(w);
while(tp--)putchar(C[tp]);
}
voi println(){print(),putchar('\n');}
mod_ullt operator++(int){mod_ullt ans=*this;return v=chg(v+1),ans;}
public:
inline ullt&operator()(){return v;}
inline mod_ullt&operator+=(mod_ullt b){return*this=_chg(v+b.v);}
inline mod_ullt&operator-=(mod_ullt b){return*this=_chg(v+chg(p-b.v));}
inline mod_ullt&operator*=(mod_ullt b){return*this=v*b.v;}
mod_ullt&operator^=(ullt b){return*this=_power(b);}
mod_ullt&operator/=(mod_ullt b){return*this=b._power(p-2)*v;}
mod_ullt&operator++(){return v=chg(v+1),*this;}
};
}
const ullt Mod=1e9+7;
typedef ConstMod::mod_ullt<Mod>modint;
typedef std::vector<modint>modvec;
chr C[20][100005];uint Cnt[1u<<20|1],nLim;
modint P[100005],Q[100005],G[100005],Dp[21][1u<<20|1],User[1u<<20|1];
voi FWT(modint*x,bol op){
for(uint i=1;i<nLim;i<<=1)for(uint j=0;j<nLim;j+=i<<1)for(uint k=0;k<i;k++)
op?x[i+j+k]-=x[j+k]:x[i+j+k]+=x[j+k];
}
int main()
{
#ifdef MYEE
freopen("QAQ.in","r",stdin);
// freopen("QAQ.out","w",stdout);
#endif
uint n,m;scanf("%u%u",&n,&m);
for(uint i=0;i<m;i++)scanf("%s",C[i]);
for(uint i=0;i<n;i++){
uint v=0;
for(uint j=0;j<m;j++)if(C[j][i]=='H')v|=1u<<j;
Cnt[v]++;
}
P[0]=1;for(uint i=1;i<=n;i++)P[i]=P[i-1]*i;
Q[n]=P[n].inv();for(uint i=n;i;i--)Q[i-1]=Q[i]*i;
for(uint i=0;i<n;i++)G[i+1]=G[i]+Q[i];
for(uint i=0;i<=n;i++)G[i]*=P[i];
modint ans;
nLim=1u<<m;
for(uint j=0;j<=m;j++){
for(uint k=0;k<(1u<<m);k++)if(__builtin_popcount(k)==j){
Dp[j][k]=1;
for(uint t=0;t<j;t++)Dp[j][k]+=Dp[t][k];
ans+=Dp[j][k]*=G[Cnt[k]];
}
FWT(Dp[j],0);
}
ans.println();
return 0;
}
// 那就是希望。
// 即便需要取模,也是光明。
詳細信息
Test #1:
score: 4.54545
Accepted
time: 28ms
memory: 184096kb
input:
3 1 EHE
output:
9
result:
ok 1 number(s): "9"
Test #2:
score: 4.54545
Accepted
time: 36ms
memory: 184036kb
input:
10 6 EHEEEHHEEH EHHHEEHHHE EHEHEHEEHH HEHEEEHEEE HHEEHEEEHE EHHEEEEEHE
output:
33
result:
ok 1 number(s): "33"
Test #3:
score: 4.54545
Accepted
time: 24ms
memory: 184096kb
input:
99930 1 HHEEHEEHEEEEEHHEEEEHEEHEEEEHEEEEEEEEEEHEEHHHHHEEHEHHHEEHHHEHHHHEEHHEHHHHHHEHEEEHHHHEEHHHEHHEHHEEEEHHHHHEEEHHEHEEEHEEEEHEEHHHEHHHHEHHEEEEHEHEEEEEHEEHHEEHEHEHHEEHEEHHHHEHEEHHHEHEHHHEEEEHEEHEHEHEHHEHHEEHHEEHHEEHEHHEEHHEHEHHEHHHHHEHHHHEEEHHHHEEHEHHHEEEHHEHHEHEHHHEHHEEHEHHEEHEEEHHEHEEEHHHEEEEEHEE...
output:
958738013
result:
ok 1 number(s): "958738013"
Test #4:
score: 4.54545
Accepted
time: 24ms
memory: 184104kb
input:
100000 1 EEEHEHHHEEEEHHEEHHHHEHEEHEEHHEEHEEEEHEEHHEHHHHHHHEEHHHHEEEHEHHEEEEEEEEEHEEEEHEEEEHEHEEHEHHHEEEHHHEEHEEEEEEEEHEEEEHHHHEHHEHHHEEEHHHHHEHEHEHEHEHHHEHHEEEEEHHHHEHHEEHHEHHEHHEEHEEEHHEEHEEHEHHHEHHEHHHEHEHHEEHEHHHEEHHEHEEHHEEHHHHEEHHHHHEHEEHHEHHEHHEEEHEHEEEHHEHEHHEHEHEEEHHHEEHHEHEEHHEHHHHEEEHHHEHE...
output:
141886138
result:
ok 1 number(s): "141886138"
Test #5:
score: 4.54545
Accepted
time: 68ms
memory: 185892kb
input:
100000 16 EHEEEHEHHEEEEEHHHEHHHEEHHHHEHEHEEEHHEEHHEHEEHHEEEEEEHHEEHHEHHHHEHHEEEEHEEEEHHEHHEEEEEHHHEHEEHEHEEEHEHHHHEEHHEHHEHEHEEEEEHHEHHEEEHEEEHHHEHEEEHHEEHEHHEHHHEEHHHEHHEHEEHHEEEHHEHEHHHEHEEHHHHHEHHHEHHEEEEEHEEHEHHEHHHEHHHEHHHEHHHEEEEHHEHHEEHHHEEHHEEHHEHHEEEEEEHHHEHHEEEEHEHEHEEEHEHHEEHHEHHEHHEEHEHE...
output:
550365804
result:
ok 1 number(s): "550365804"
Test #6:
score: 4.54545
Accepted
time: 66ms
memory: 185892kb
input:
100000 16 EHEHEHHEHEEEEEHEHHEHEEEHEEHHEEEEHHEEEHEEEHEEEEEEEHHHHEHEEHEEEHEEEEHHEEHHEEHHHEHEEHEEEEHEEEEEEEHEHHEEEHHHEHHHHHEEEEEHHEHEHHHHHHHHEEHEHHHHEHEHHEEEEHHHEHEEHEEEHEEEEHHHHHHEHEEHHEHHHEEEEHEEEHEHEEEHHEHHEHHHEHEEHHHEEEEHHHEEEEEEHEHEHEHEHHHEHHHHHHEHHEEEEEHHEHHHHHEEHEEHHHHHEHHHEEEHHEHEEHHHHHEEEEHEHH...
output:
304783114
result:
ok 1 number(s): "304783114"
Test #7:
score: 4.54545
Accepted
time: 48ms
memory: 185912kb
input:
99913 16 HEHHHEEEHEEEEEEHHEEEHHEHEEEEEEHHHHEHEEHEEHHHHEEEHHEEHEHEHHHEHEHHEEHEEEEHEEHEHEHHEEHEHHHEHEHEHEEHEEHEEHHHEHHEEHEHHEHEEEEEEEEEEHHHHHHEEHHHHEEHEHEHHHHEEHEEHHHHEEEHEEHHHEEHHEHEHEEHHHHHEEEHHEEEEEEEEHEHHHEHHHHEHHHEHEEEEEEEEEEHEEEEEEHEEHEHEHHHEEEHHHEHEEHEEHHHEHEEEHHHEEEEHEHHEEHEEEHEHEHEHHHEEHHEEEH...
output:
102498247
result:
ok 1 number(s): "102498247"
Test #8:
score: 4.54545
Accepted
time: 66ms
memory: 185912kb
input:
100000 16 EHEHEHEHHHHEHEHEHEEEHEEEEHEHEEHHEHHEEHHEHEHEHEEHEHEHHEEEHHEHHEHHEHEEHEHEHHEEEEEHHEEHEHHHEHHEHHEHHEHHEEHEHHHHHEHHHHEHEEEEHHHEHEHEEHHHHEEHHEHHHEHHEEHHEEHHEEEEEHEEHHEHEEHHEEHEEEEEHEHEEHEHHHHEHEEHEEEHHEEEEEHEHEEHEEEEEEHEEHEHEEEHEEEHEEHHHHEEHEHHEHEHEEHHHEHEHEHHHEEEHEEHEEEHEEEHHHEEEEEEEEEHEHEEEE...
output:
52676620
result:
ok 1 number(s): "52676620"
Test #9:
score: 4.54545
Accepted
time: 60ms
memory: 185968kb
input:
99989 16 EEEHEHEEEHHEHHEHHEHEEHEHEHHEEHEEEEEHEHHEEEHEHEHEHEHHHEHEEEEHHHEHHHHEHHEEHEHHHEHHHHHHHEHEHHHEHEHEEHHEHEHHEEEHEHHEEEEEEEHEHHEEEEEHHHHHHEHHHEHEHHEHHHHHEHEHHHEEEEEEEHEHEEEEHEHEEHHHHEHEEHHHEEEEHEHEHHEHEHHEHEEHHHHEHHEHHEHHEEEEEHHHEEHHEHEEHEHEEHHHHEHHHHEEHEHEEEHEEEHHHHEHEEHHEHEHHHHEEHHHEHEHHEHEEHH...
output:
901615554
result:
ok 1 number(s): "901615554"
Test #10:
score: 4.54545
Accepted
time: 48ms
memory: 185780kb
input:
100000 16 HHEHHEHEEHEHEEHEEEEHHHEEHHHHEEHEEHHHEHHHHEEHEEHEHHHHHHHHHHEHEHEEEEHEEEEEHHHEEHEHEEHEEEEEEHHHHEHEHEEHHHHHEEHEEHHHEEHEEHEEEEHEEEEHHHHHEEHHHHEEHHEEHHHEHEHHHHHHHEEEEEHHHEEHHHEEHEHHHEEHHEEEHHHHEHHEHEHEHEHEEHEEEHHHHHEHHEEEEHEEEHHHHEHEHEHHEEEEEHHEEHHHHEEEHEEHHHEEHHEEEEEEEHHHHHHEHHHHHEHEEHHHHHHHHH...
output:
691375190
result:
ok 1 number(s): "691375190"
Test #11:
score: 4.54545
Accepted
time: 45ms
memory: 185764kb
input:
100000 16 EEHEHHEEHHEHEHHHEEHEHEHEEEEHHEEEHHEEHHHEEEEHEEHHHEEHHEEHEHEHHEEHEHHEEEHEEHHHEHEEHHEHEEHHHEHEEEEEHEEHHHHEEEEEEHHHEEHHEHHHEEHHEHHHEEEEEHHHHEHHHEHEEHEEHHEEHEHHHEHEHHHHHEHHEEEHEEHHEEHHEHEEEEHEEHHHEHEHHHEEEEHHHHEHEHEEEHEHHEHEHHHHEEEEHHHEEEHEHHEHHEHHEHEEEEHEHEHHEHHHHEEHHEHEHEHHEHEEEHHHHEEHHHHEHH...
output:
543699219
result:
ok 1 number(s): "543699219"
Test #12:
score: 4.54545
Accepted
time: 42ms
memory: 185768kb
input:
99990 16 EEEEEHHHEEHHEEEHHEHEEHHHHHHHEHHEHEEEHEHEHEEHEHHEEHHEHHEEHEEEHHHHEHHHHEEHEHHHEEEEEEHEHEEEEEEHHHHHEEHEHEHHEHEHEEEHHHHHHEHHEEEEEEHEEHEHHHHHHEHEHHEHHHEEEEHEHEEHHEHEEHHHHHHEHEEHEEHHHEHHEHHEEHEHEHHEEHHHEHHHEHEHEHEEEEHHHHHEEHHEHHHHHHHEHEEHHEHEHEEEHEEHEHHHEEEHEEHHHEEHEEEHEEHEEHHHHEHHHHHEHEEHEHHEHHH...
output:
128876794
result:
ok 1 number(s): "128876794"
Test #13:
score: 4.54545
Accepted
time: 57ms
memory: 185824kb
input:
99912 16 EHEEEEHHEEEHEHHEEHHEHEEEHHEHHEEEHEHEHHEHEEHEHHHEEEEHHHHEHHEEHEEHEHHHEEEHHEHHEHEEHEEEHHHEEEEEHHEEHEHHEEEHHHHEHHEEEHHHEHEHEEEEEHHHEEEHHEHEHHHHHEHHEEEHHHEEEHHEEEEHHEHEHHHHHHHEHEEEEHHEHEEEHEHEEEEHHHHEHEHEEEEHEHEEEEHHEHEEHEHHHHEHHHHEHHHEEHEEEHHEHHHHHHEHEEEEEHHHHEHEHHHEHHHHEEHEHHHEEEHEEEEHHEEEEEH...
output:
334603270
result:
ok 1 number(s): "334603270"
Test #14:
score: 4.54545
Accepted
time: 58ms
memory: 185780kb
input:
100000 16 HHEEHHEEHHEHHEEEEHEHEHHEEHEEHHEHHHHEHHEEEEEHHEEHHEHEEHHEHHEEEHHEEHEEEHHEEEHHEHHHHHHHHEEEHHEHHEHHEEEHEEEEEEEEEHHEEHEHHEHHEEEHHEHEEHHHHHHEEEHHEEEEHHEEEEHHEEHHHEHHEEEHEEEEHEEEHHEHEHEHEEEHHHEEHEEHHHEEHHEEHEHEEEHEHEHHHEHHHEEHEEHEHHEEEHHHEEEHEHEHEEEHEHHEEEEEEHHHEHHEHHEEEHHHEEEHHEHEHEHEHHHHEEEHHH...
output:
734499631
result:
ok 1 number(s): "734499631"
Test #15:
score: 4.54545
Accepted
time: 405ms
memory: 190048kb
input:
99985 20 HHEEHEHHEEHHEHEEHEEEHEEHHHEHEHHEHEHEHEHEHEEEHEEHHHEEEEHHEEHHHHEEEEEHHHEEEHHEHHEHEEHHEEHEEHEEHHHEHEHEHHHHEEHEEHEHHEEHEHHEHHEEHEEEHHEEHHEEEEEEEHEHEEHEEEEEHHEHEEHEHEHEEHHEEHEHHEEHEEEHHHEHEEHHEEHEHEHEHHEEEHHEEEEEEEEHEHHHHHHEEHEHHHHEEEEEEEEHHEHEHHHHHEEHEEHEEHHHEHEEEHHHHEHEHEHHEEHEHEEEEHHHHHHEEEH...
output:
245101596
result:
ok 1 number(s): "245101596"
Test #16:
score: 4.54545
Accepted
time: 379ms
memory: 190044kb
input:
100000 20 HHEHHEEEHEEEEEEHHEEHEHHEHHHHEEEHHHEHHEHEEEEHHHHHHEHHHHHEHEHEHEEEHHEEEHEEHHEHEHHHEHEHEEEHHEEEHHEEHEHHEEHEEEHEHEEHHEEEEEHEEEEHHHHHHHHHHHEHHHHHHEEEHEHEHHEEEEHHHHEEHHEEHEHEHHHEHEEHHEEHEHHEHEEHHHHEEHHHEHHHHEEHHHHHEEEEEEEEEEHEEHEHHHHEEHEHEHHEEEEHHHHHEEEHHHHHHHHHHEEHEHEHEEHEEEHHHEEEEEHHEEEEHEEHHE...
output:
908982675
result:
ok 1 number(s): "908982675"
Test #17:
score: 4.54545
Accepted
time: 404ms
memory: 190192kb
input:
99974 20 HHEEHEEEHEHEHEHEHHHEEHEEEHHHHEHHHHHHEHEHHHEEEHEEEHHHEHHEEEHEHEHEEHEHHEHHEEEEHEEHHHHEHEEHHEHHEEEHEEHEHEEEEHHEEEEHHHEHEEHEEHEEHEEHHHHHEHEEHEHEEHHEHHEEHEEHEEEHEHHHHHEEEEHEEHHHHEHHHHEHHEEEHEEHHHEHHEEEHHEHHEHHEEEEHHEHHEHEHHEHEEHHEEHEHEHEEEEEHEEEHEEEEHEHHHHHHHHHEHHHHEHHHEEHEHEHEEEHEHHHEHEHHHHHHHH...
output:
774998253
result:
ok 1 number(s): "774998253"
Test #18:
score: 4.54545
Accepted
time: 423ms
memory: 190180kb
input:
99916 20 HEHHHHEHEHEHEHHHEHEEEHHEEEHEHHEEEHEEHEEHEEHEHHHHHHEHHEEEEEEEHHEEHEHHHEEEEEEHEHEHEEEHHHEHHHEHHEHHEEHHHEEHHHHHHEHEHHEHHEHHHHEHEEEHHHHEHEEEEEEEHEHHEHEEHEEEEHEHHHEEHEEEHEHEEEHHHEEEEEEHHHHHHHHHHHHEEEHHEHHEHHEEEHEEEEHHHEEEEHHHEEEEHEHEEHHEEEEHEEEHHEHEEHHEEEHEHEEEHEEHEEEHHHEHEHHEHEEEHHHEEEEEHHEHHEH...
output:
392464568
result:
ok 1 number(s): "392464568"
Test #19:
score: 4.54545
Accepted
time: 401ms
memory: 190112kb
input:
100000 20 HEHEHEHEHEEEHHEHEHHHEHHEEEEEEHEEHHEEEHEHHHHEHHEHHHEHEHEHEEEEEHEEHHEHEEHHHHHEHEHEHEHHHHHHHHHEHEHEHHHHEEEHEEEHHEHEEHEHHHEHHHEHEEHHHEEEEHEHEHHEHEHEEHHEEHHHEEHEHHEHEHHEEHEHHHHEEEEHHEEHEEEEHHEEHHEHHEHEEHEEEEEHEHEHHHHEHHHHEHEHEHEEEHEEHEHHHHHHHEHHHHEEEEHHHEEEEHEHEHHEEEHHEEEHEHEHEEEEHEEHEEHHEEEEEE...
output:
42780816
result:
ok 1 number(s): "42780816"
Test #20:
score: 4.54545
Accepted
time: 414ms
memory: 190040kb
input:
99908 20 HHEHHEEEHHHHHEHHHEEHHEHEHEHHHHEEEEEEHEEHHHHHEEEEEEEHEHEEHHEHEHEEEEHEEHEHEEEEHEHHHEHHEHHHEEHHHHEHEHHHEHHHEHHHEEHHHEEEEHEHEEEHHEEEEEHHEEHEHEEEHEEHEHHHEEHHHEHHHEEEEHEEEEHHEHEHEHHHHEHEEHEEHEHHHEEHHHHEHEHHHHHHHHEEEHHEHEHHHHEEHEHEHEHHHEEHEHEHEEHEEEHEHHEEHEEEEEHHHHEHEHHEHHHHHEHHHHEHEHEHEEHEEEEHHEE...
output:
873687145
result:
ok 1 number(s): "873687145"
Test #21:
score: 4.54545
Accepted
time: 399ms
memory: 190180kb
input:
99923 20 EHEHEHHEHHEHEEEHEEHHHEHHHHHHHEEEEHEEHEHEEHEEEHEHEHHHEEHEEHHHHHEEHHHHEHEEEEHEEEHEEHEHHEHHEHEEHHEEEHHHHHEEEEHEEEHHHHHHHEEEEHHHEEEHHHEEHHHEEHHHHHHEHEHHEHEEEHHEHHHEEHHHHEHEEHHEEEHHEHEHHEHHEHEHHEEHHEHEHHEEEEHHEHHEHHEHHEHEEEEHEHEEHEHHHHEHHHEHEEEEHHHEHEEHEHEEEHHEEHEHHHHHEEHEHEEHHHHHEHHEHHHHEHHHHEE...
output:
6819458
result:
ok 1 number(s): "6819458"
Test #22:
score: 4.54545
Accepted
time: 393ms
memory: 190136kb
input:
100000 20 EHEEHEHEHHEEEHHHEEEHEHHEHEHEHEHEEEHHEHEHEHEHEHEEHEEEHEEEHEEEEEEEHHEEHHHEEEHEEHHHEEHEHEEEEHHHEEEHEHHHEHHEEEEEEHHEEEEEEEEHHEEHHEHEEHHHEEHEEEEEHEHHHHHEEHHEEHEEHHEEHEHHHEEHEHEHEEEEEHHEEEHHHHEEHHEEHEEEEEEEEHHEHEEHEHHEEHHEHHHHHEEEHHEEEEEHHHHEHHHHEHHHHEEHEEHEHEEHHHHEEEEHHEEEHEHEHEEHHHHEEEHHHHEHEE...
output:
778489093
result:
ok 1 number(s): "778489093"