Bzoj2693 jzptab

 1 /*by SilverN*/
 2 #include<algorithm>
 3 #include<iostream>
 4 #include<cstring>
 5 #include<cstdio>
 6 #include<cmath>
 7 #include<vector>
 8 #define LL long long
 9 using namespace std;
10 const int mod=1e8+9;
11 const int mxn=1e7+3;
12 int read(){
13     int x=0,f=1;char ch=getchar();
14     while(ch<‘0‘ || ch>‘9‘){if(ch==‘-‘)f=-1;ch=getchar();}
15     while(ch>=‘0‘ && ch<=‘9‘){x=x*10+ch-‘0‘;ch=getchar();}
16     return x*f;
17 }
18 int pri[mxn],cnt;
19 LL g[mxn],smm[mxn];
20 bool vis[mxn];
21 void init(){
22     g[1]=1;
23     for(int i=2;i<mxn;i++){
24         if(!vis[i]){
25             pri[++cnt]=i;
26             g[i]=1-i;
27         }
28         for(int j=1;j<=cnt && (LL)pri[j]*i<mxn;j++){
29             vis[pri[j]*i]=1;
30             if(i%pri[j]==0){
31                 g[pri[j]*i]=g[i];
32                 break;
33             }
34             g[pri[j]*i]=g[i]*g[pri[j]]%mod;
35         }
36     }
37     for(int i=1;i<mxn;i++)
38         smm[i]=(smm[i-1]+g[i]*i%mod)%mod;
39     return;
40 }
41 inline int SS(int x,int y){
42     return ((LL)x*(x+1)/2%mod)*((LL)y*(y+1)/2%mod)%mod;
43 }
44 LL calc(int n,int m){
45     if(n>m)swap(n,m);
46     LL res=0;int pos;
47     for(int i=1;i<=n;i=pos+1){
48         int x=n/i,y=m/i;
49         pos=min(n/x,m/y);
50         res=(res+(smm[pos]-smm[i-1])*(SS(x,y)))%mod;
51     }
52     return res;
53 }
54 int n,m;
55 int main(){
56     freopen("bzoj_2693.in","r",stdin);
57     freopen("bzoj_2693.out","w",stdout);
58     init();
59     int T=read();
60     while(T--){
61         n=read();m=read();
62         printf("%d\n",(calc(n,m)+mod)%mod);
63     }
64     return 0;
65 }