This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include<cstdio>
typedef long long ll;
ll M=int(1e9)+7;
ll pow(ll x,ll y){
if(y==0)return 1;
if(y==1)return x;
ll o=pow(x,y/2);
if(y%2==0)return o*o%M;
else return o*o%M*x%M;
}
ll ans [1000010];
ll phi [1000010];
ll kpow[1000010];
bool sieve[1000010];
int n,k;
int main(){
scanf("%d%d",&n,&k);
int i,j;
kpow[0]=1; kpow[1]=k; phi[1]=1; ans[1]=k;
for(i=2; i<=n; ++i){
kpow[i]=kpow[i-1]*k%M;
ans[i]=kpow[i];
if(!sieve[i]){
for(j=i; j<=n; j+=i){
sieve[j]=true;
if(phi[j]==0) phi[j]=j;
phi[j] /= i;
phi[j] *= i-1;
}
}
}
for(i=2; i<=n; ++i){
for(j=i; j<=n; j+=i){
ans[j] += phi[i] * kpow[j/i];
ans[j] %= M;
}
}
ll tmp, half=pow(2, M-2), sumans = 2;
for(i=1; i<=n; ++i){
tmp = ans[i] * pow(i,M-2);
sumans += tmp;
sumans %= M;
if(i&1){
sumans += kpow[(i+1)/2];
sumans %= M;
} else {
sumans += (k+1)*half%M*kpow[i/2];
sumans %= M;
}
}
printf("%lld",sumans*half%M);
return 0;
}
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