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43 lines (34 loc) · 831 Bytes
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Copy pathe.cpp
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43 lines (34 loc) · 831 Bytes
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#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using vll = vector<ll>;
using vvll = vector<vll>;
using vvvll = vector<vvll>;
#define REP(i, n, m) for(ll i=n; i<(ll)m; ++i)
#define IREP(i, n, m) for(ll i=n-1; i>=m; --i)
#define rep(i, n) REP(i, 0, n)
#define irep(i, n) IREP(i, n, 0)
#define all(v) v.begin(), v.end()
ll pow_mod(ll n, ll m, ll mod=1000000007){
ll a = 1;
while(m>0){
if(m&1) a = a*n % mod;
n = n*n % mod;
m >>= 1;
}
return a;
}
int main(){
cout << setprecision(20);
ll N, K;
cin >> N >> K;
vll a(K+1, 0);
IREP(i, K+1, 1){
ll n = pow_mod(K/i, N);
for(ll m=2*i; m<=K; m+=i) n -= a[m];
a[i] = n;
}
ll total = 0;
REP(i, 1, K+1) total = (total+i*a[i]) % 1000000007;
cout << total << endl;
}