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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#426352 | #8747. 朔望 | yanshanjiahong | TL | 0ms | 0kb | C++14 | 2.9kb | 2024-05-31 08:23:05 | 2024-05-31 08:23:05 |
answer
#include<bits/stdc++.h>
#define rep(i,j,k) for(int i=j;i<=k;i++)
#define repp(i,j,k) for(int i=j;i>=k;i--)
#define ls(x) x*2
#define rs(x) x*2+1
#define lowbit(x) x&(-x)
#define pii pair<int,int>
#define mp make_pair
#define fir first
#define sec second
#define int long long
using namespace std;
typedef long long ll;
const int N=25,M=(1<<20)+5,mo=1e9+7,inf=1e9+7;
inline void read(int &p){
int x=0,w=1;
char ch=getchar();
while(!isdigit(ch)){
if(ch=='-')w=-1;
ch=getchar();
}
while(isdigit(ch)){
x=(x<<1)+(x<<3)+ch-'0';
ch=getchar();
}
p=x*w;
}
int quick_power(int base,int x){
int res=1;
while(x){
if(x&1)res*=base,res%=mo;
base*=base,base%=mo;
x>>=1;
}
return res;
}
int n,t[N],w[N];
struct divi{
vector<pii>d;
friend divi operator+(divi x,divi y){
divi res;
for(auto i:x.d){
bool exi=0;
rep(j,0,(int)y.d.size()-1){
if(i.fir==y.d[j].fir)y.d[j].sec+=i.sec,exi=1;
if(exi)break;
}
if(!exi)res.d.push_back(i);
}
for(auto j:y.d)
res.d.push_back(j);
sort(res.d.begin(),res.d.end());
return res;
}
}num[N],dif[N][N],dv[N][N];
void print(divi x){
puts("**");
for(auto i:x.d){
printf("!%lld %lld\n",i.fir,i.sec);
}
puts("**");
}
divi getd(int x){
divi res;
rep(i,2,sqrt(x)){
if(x<i)break;
int cnt=0;
while(x%i==0)
x/=i,cnt++;
if(cnt)res.d.push_back(mp(i,cnt));
}
if(x!=1)res.d.push_back(mp(x,1));
return res;
}
divi getgcd(divi x,divi y){
divi res;
int nw=0;
for(auto i:x.d){
while(nw<(int)y.d.size()&&y.d[nw].fir<i.fir)
nw++;
if(y.d[nw].fir==i.fir)res.d.push_back(mp(i.fir,min(i.sec,y.d[nw].sec)));
}
return res;
}
int cnts[M],tot;
int count(divi x){
int res=1;
for(auto i:x.d)
res=res*quick_power(i.fir,i.sec)%mo;
return res;
}
int dp[N][M];
signed main(){
read(n),tot=(1<<n)-1;
rep(i,1,n)
read(t[i]);
rep(i,2,n)
read(w[i]);
rep(i,1,n)
num[i]=getd(t[i]);
rep(i,1,n-1){
rep(j,i+1,n){
dif[i][j]=getd(t[j]-t[i]);
rep(k,1,n)
if(i!=k&&j!=k)dv[i][j]=dv[i][j]+num[k];
dv[i][j]=dv[i][j]+dif[i][j];
}
}
rep(st,1,tot){
if(__builtin_popcount(st)==1)continue;
int fir=0,sec=0;
divi res;
rep(i,1,n){
if(!((st>>(i-1))&1))continue;
if(!fir)fir=i;
else if(!sec)sec=1,res=dv[fir][i];
else res=getgcd(res,dv[fir][i]);
}
cnts[st]=2*count(res)%mo;
}
int ans=0,mult=1;
rep(i,1,n)
mult*=t[i],mult%=mo;
mult=quick_power(mult,mo-2);
repp(st,tot,1){
int nnum=__builtin_popcount(st);
if(nnum==1)continue;
rep(i,0,n){
if(i&&(!((st>>(i-1))&1)))continue;
rep(j,i+1,n){
if((st>>(j-1))&1)continue;
int nw=st|(1<<(j-1));
dp[i][st]+=(dp[j][nw]+cnts[nw])%mo;
dp[i][st]%=mo;
}
}
cnts[st]=(cnts[st]-dp[0][st]+mo)%mo;
ans+=w[nnum]*cnts[st]%mo*mult%mo;
ans%=mo;
}
printf("%lld\n",ans);
return 0;
}
Details
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Test #1:
score: 0
Time Limit Exceeded
input:
20 73415948 190825288 205086969 242726140 280691039 291234110 341933576 379938879 399631744 420807939 421811250 486105558 605031352 645495854 714594262 775221445 793534057 818237037 926135349 940293639 108200337 125078426 163639475 261733041 280562529 287327830 310288774 415301468 419144734 46329977...