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D.cpp
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59 lines (49 loc) · 1.27 KB
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#include <bits/stdc++.h>
#define FOR(i,a,b) for(int i=(a),_b=(b); i<=_b; ++i)
#define FORD(i,a,b) for(int i=(a),_b=(b); i>=_b; --i)
#define REP(i,a) for(int i=0,_a=(a); i < _a; ++i)
#define DEBUG(X) { cout << #X << " = " << X << endl; }
#define PR(A,n) { cout << #A << " = "; FOR(_,1,n) cout << A[_] << ' '; cout << endl; }
#define PR0(A,n) { cout << #A << " = "; REP(_,n) cout << A[_] << ' '; cout << endl; }
#define sqr(x) ((x) * (x))
#define ll long long
#define SZ(x) ((int) (x).size())
using namespace std;
const ll MOD = 1e9 + 7;
ll mult(ll a, ll b) {
return a * b % MOD;
}
ll power(ll x, ll k) {
ll res = 1;
while (k > 0) {
if (k % 2) res = mult(res, x);
x = mult(x, x);
k >>= 1;
}
return res;
}
ll inverse(ll x) {
return power(x, MOD - 2);
}
ll sub(ll a, ll b) {
return ((a - b) % MOD + MOD) % MOD;
}
ll sum2(ll n) {
ll cur = n;
cur = mult(cur, n + 1);
cur = mult(cur, 2*n+1);
cur = mult(cur, inverse(6));
return cur;
}
int main() {
ios :: sync_with_stdio(0); cin.tie(0);
ll n;
while (cin >> n) {
ll res = mult(mult(n, n), mult(n, n)); // n ^ 4
ll sumg = 0;
sumg = mult(sum2(n) + sum2(n-1), 2);
sumg = sub(sumg, mult(n, n));
res = sub(res, sumg);
cout << mult(res, inverse(2)) << endl;
}
}