Problem p02715 (C++)

Buggy submission (status: Runtime Error):
// Nihal Mittal - nihal_47
// Strike First , Strike Hard , No Mercy !!

/**⠀⠀⠀⠀⠀⠀⣀⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣰⣿⣿⣿⣿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣧⢀⠀⠀⠀⠀
⠀⠀⠀⣿⣿⣿⠋⠀⠀⠀⠀⠀⠙⠀⠙⣿⣿⣿⣷⢳⢀⠀⠀⠀
⠀⠀⣠⣿⣿⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⢀
⠀⠀⣸⣿⣿⣿⠸⠀⠀⠀⠒⠒⠒⠐⠀⠀⢿⣿⣿⣿⣿⣿⠀⠀
⠀⣴⣿⣿⣿⡿⠀⠒⣋⣙⡒⢰⠀⠤⣖⠒⢾⣿⣿⣿⣿⣧⠀⠀
⢺⣿⣿⣿⣿⢀⠀⠀⠉⠉⠉⠸⠀⡇⠉⠉⠀⢿⣿⣿⣿⣄⠀⠀
⠀⠙⣿⣿⣧⢻⠀⠀⠀⠀⠀⠠⠀⠰⠀⠀⠀⣸⠸⣿⣿⠿⠰⠀
⠀⠀⠀⠹⣿⣿⣿⣷⠀⡠⠙⣲⣔⣅⢡⣰⣷⣿⣿⣿⣧⠀⠀⠀
⠀⠀⠀⣼⣿⣿⣿⣿⠀⡿⠭⠭⠭⠭⢿⠀⣿⢻⣿⣿⠃⠀⠀⠀
⠀⠀⠀⠙⠛⣿⢻⠹⣿⠐⠙⠛⠟⠉⢀⣴⡟⢿⣿⡏⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⡟⠀⠀⠻⣦⣤⣶⠾⠋⠀⠀⠁⡦⢄⢀⠀⠀⠀
⠀⠀⠀⠀⡠⠁⡇⠑⢄⠀⠀⠀⠀⠀⠀⠔⠀⠀⠁⠀⠀⠀⠉⠁
⠀⠔⠊⠁⠀⠀⣇⠀⠀⠀⠑⡤⠤⢎⠁⠀⠀⡘⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢢⠠⠀⡠⢆⠀⠀⡠⠙⢄⠀⡸⠀
**/
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
#define ll long long
#define ld long double
#define mk make_pair
#define pb push_back
#define in insert
#define se second
#define fi first
#define mod 1000000007
#define watch(x) cout << (#x) << " is " << (x) << "\n"
#define all(v) (v).begin(), (v).end()
#define fast                                                                   \
  ios_base::sync_with_stdio(false);                                            \
  cin.tie(NULL);                                                               \
  cout.tie(0);
#define pii pair<ll, ll>
#define vi(x) vector<x>
#define maxn 100005
#define ordered_set                                                            \
  tree<ll, null_type, less<ll>, rb_tree_tag, tree_order_statistics_node_update>
using namespace std;
using namespace __gnu_pbds;
ll power(ll x, ll y) {
  ll res = 1;
  x = x % mod;
  while (y > 0) {
    if (y & 1)
      res = (res * x) % mod;
    y = y >> 1;
    x = (x * x) % mod;
  }
  return res;
}
signed main() {
  fast;

  ll n, i, k, j, ans = 0;
  cin >> n >> k;
  vi(ll) dp(n + 2, 0);
  for (i = k; i >= 1; i--) {
    dp[i] = power(k / i, n);
    for (j = 2 * i; j <= k; j += i) {
      dp[i] = (dp[i] - dp[j] % mod + mod) % mod;
    }
    ans = (ans + (i % mod * dp[i] % mod) % mod) % mod;
  }
  cout << ans;
}

Fixed submission:
// Nihal Mittal - nihal_47
// Strike First , Strike Hard , No Mercy !!

/**⠀⠀⠀⠀⠀⠀⣀⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣰⣿⣿⣿⣿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣧⢀⠀⠀⠀⠀
⠀⠀⠀⣿⣿⣿⠋⠀⠀⠀⠀⠀⠙⠀⠙⣿⣿⣿⣷⢳⢀⠀⠀⠀
⠀⠀⣠⣿⣿⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⢀
⠀⠀⣸⣿⣿⣿⠸⠀⠀⠀⠒⠒⠒⠐⠀⠀⢿⣿⣿⣿⣿⣿⠀⠀
⠀⣴⣿⣿⣿⡿⠀⠒⣋⣙⡒⢰⠀⠤⣖⠒⢾⣿⣿⣿⣿⣧⠀⠀
⢺⣿⣿⣿⣿⢀⠀⠀⠉⠉⠉⠸⠀⡇⠉⠉⠀⢿⣿⣿⣿⣄⠀⠀
⠀⠙⣿⣿⣧⢻⠀⠀⠀⠀⠀⠠⠀⠰⠀⠀⠀⣸⠸⣿⣿⠿⠰⠀
⠀⠀⠀⠹⣿⣿⣿⣷⠀⡠⠙⣲⣔⣅⢡⣰⣷⣿⣿⣿⣧⠀⠀⠀
⠀⠀⠀⣼⣿⣿⣿⣿⠀⡿⠭⠭⠭⠭⢿⠀⣿⢻⣿⣿⠃⠀⠀⠀
⠀⠀⠀⠙⠛⣿⢻⠹⣿⠐⠙⠛⠟⠉⢀⣴⡟⢿⣿⡏⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⡟⠀⠀⠻⣦⣤⣶⠾⠋⠀⠀⠁⡦⢄⢀⠀⠀⠀
⠀⠀⠀⠀⡠⠁⡇⠑⢄⠀⠀⠀⠀⠀⠀⠔⠀⠀⠁⠀⠀⠀⠉⠁
⠀⠔⠊⠁⠀⠀⣇⠀⠀⠀⠑⡤⠤⢎⠁⠀⠀⡘⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢢⠠⠀⡠⢆⠀⠀⡠⠙⢄⠀⡸⠀
**/
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
#define ll long long
#define ld long double
#define mk make_pair
#define pb push_back
#define in insert
#define se second
#define fi first
#define mod 1000000007
#define watch(x) cout << (#x) << " is " << (x) << "\n"
#define all(v) (v).begin(), (v).end()
#define fast                                                                   \
  ios_base::sync_with_stdio(false);                                            \
  cin.tie(NULL);                                                               \
  cout.tie(0);
#define pii pair<ll, ll>
#define vi(x) vector<x>
#define maxn 100005
#define ordered_set                                                            \
  tree<ll, null_type, less<ll>, rb_tree_tag, tree_order_statistics_node_update>
using namespace std;
using namespace __gnu_pbds;
ll power(ll x, ll y) {
  ll res = 1;
  x = x % mod;
  while (y > 0) {
    if (y & 1)
      res = (res * x) % mod;
    y = y >> 1;
    x = (x * x) % mod;
  }
  return res;
}
signed main() {
  fast;

  ll n, i, k, j, ans = 0;
  cin >> n >> k;
  vi(ll) dp(k + 2, 0);
  for (i = k; i >= 1; i--) {
    dp[i] = power(k / i, n);
    for (j = 2 * i; j <= k; j += i) {
      dp[i] = (dp[i] - dp[j] % mod + mod) % mod;
    }
    ans = (ans + (i % mod * dp[i] % mod) % mod) % mod;
  }
  cout << ans;
}