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 <stdio.h>
#include <stdlib.h>
#include <string.h>
#include <math.h>
#include <limits.h>
#include <stack>
#include <queue>
#include <map>
#include <set>
#include <algorithm>
#include <string>
#include <functional>
#include <vector>
#include <numeric>
#include <deque>
#include <utility>
#include <bitset>
#include <iostream>
using namespace std;
typedef long long lint;
typedef long double llf;
typedef pair<int, int> pi;
const int mod = 1e9 + 7;
lint ipow(lint x, lint p){
lint ret = 1, piv = x % mod;
while(p){
if(p&1) ret *= piv;
piv *= piv;
ret %= mod;
piv %= mod;
p >>= 1;
}
return ret;
}
int low[1000005], phi[1000005];
lint kpow[1000005], inv[1000005];
int n, k;
int main(){
cin >> n >> k;
phi[1] = 1;
for(int i=2; i<=n; i++){
for(int j=i; j<=n; j+=i){
if(!low[j]) low[j] = i;
}
phi[i] = i;
for(int j=i; j!=1; ){
int p = low[j];
while(j % p == 0){
j /= p;
}
phi[i] = (1ll * phi[i] * (p-1)) / p;
}
}
kpow[0] = 1;
for(int i=1; i<=n; i++){
kpow[i] = kpow[i-1] * k % mod;
inv[i] = ipow(i, mod-2);
}
lint ret = 2;
for(int i=1; i<=n; i++){
for(int j=i; j<=n; j+=i){
lint tmp = kpow[i] * phi[j/i] % mod;
tmp *= inv[j];
tmp %= mod;
ret += tmp;
}
}
for(int i=1; i<=n; i++){
if(i%2 == 0) ret += (1ll * (k+1) * kpow[i/2] % mod) * ((mod + 1) / 2) % mod;
else ret += kpow[i/2+1];
ret %= mod;
}
ret *= (mod + 1) / 2;
ret %= mod;
cout << ret;
}
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