183 lines
3.3 KiB
C++
183 lines
3.3 KiB
C++
/* Problem URL: https://codeforces.com/gym/105164/problem/B */
|
|
|
|
#include <bits/stdc++.h>
|
|
|
|
using namespace std;
|
|
|
|
#define V vector
|
|
|
|
#define rmin(a, b) a = min(a, b)
|
|
#define rmax(a, b) a = max(a, b)
|
|
|
|
#define rep(i, lim) for (int i = 0; i < (lim); i++)
|
|
#define nrep(i, s, lim) for (int i = s; i < (lim); i++)
|
|
|
|
#define repv(i, v) for (auto &i : (v))
|
|
#define fillv(v) for (auto &itr_ : (v)) { cin >> itr_; }
|
|
#define sortv(v) sort(v.begin(), v.end())
|
|
#define all(v) (v).begin(), (v).end()
|
|
|
|
using vi = vector<int>;
|
|
using vvi = vector<vi>;
|
|
using vvvi = vector<vvi>;
|
|
using vvvvi = vector<vvvi>;
|
|
|
|
using ll = long long;
|
|
|
|
using vl = vector<ll>;
|
|
using vvl = vector<vl>;
|
|
using vvvl = vector<vvl>;
|
|
using vvvvl = vector<vvvl>;
|
|
|
|
template<class v>
|
|
auto operator<<(ostream &os, const vector<v> &vec)->ostream& {
|
|
os << vec[0];
|
|
for (size_t i = 1; i < vec.size(); i++) {
|
|
os << ' ' << vec[i];
|
|
}
|
|
os << '\n';
|
|
return os;
|
|
}
|
|
|
|
template<class v>
|
|
auto operator>>(istream &is, vector<v> &vec)->istream& {
|
|
for (auto &i : vec) {
|
|
is >> i;
|
|
}
|
|
return is;
|
|
}
|
|
|
|
template<class v>
|
|
auto operator<<(ostream &os, const vector<vector<v>> &vec)->ostream& {
|
|
for (auto &i : vec) {
|
|
os << i[0];
|
|
for (size_t j = 1; j < i.size(); j++) {
|
|
os << ' ' << i[j];
|
|
}
|
|
os << '\n';
|
|
}
|
|
return os;
|
|
}
|
|
|
|
template<class v>
|
|
auto operator>>(istream &is, vector<vector<v>> &vec)->istream& {
|
|
for (auto &i : vec) {
|
|
for (auto &j : i) {
|
|
is >> j;
|
|
}
|
|
}
|
|
return is;
|
|
}
|
|
|
|
ll mod = 1e9 + 7;
|
|
|
|
vvl operator*(vvl &a, vvl &b)
|
|
{
|
|
vvl ans(a.size(), vl(b[0].size()));
|
|
|
|
rep(i, a.size()) {
|
|
rep(j, b[0].size()) {
|
|
rep(k, a[0].size()) {
|
|
ans[i][j] = (ans[i][j] + a[i][k] * b[k][j]) % mod;
|
|
}
|
|
}
|
|
}
|
|
|
|
return ans;
|
|
}
|
|
|
|
ll exp(int n)
|
|
{
|
|
vvl ans = {
|
|
{1},
|
|
{0},
|
|
{0},
|
|
{0},
|
|
{0},
|
|
{3},
|
|
{0},
|
|
{0},
|
|
{0},
|
|
{3},
|
|
{0},
|
|
{9},
|
|
{0},
|
|
{3},
|
|
{0},
|
|
{18},
|
|
{0},
|
|
{30},
|
|
{0},
|
|
{27}
|
|
};
|
|
|
|
if (n < 20) {
|
|
ll total = 0;
|
|
for (int i = 0; i <= n; i++) {
|
|
total += ans[i][0];
|
|
total %= mod;
|
|
}
|
|
|
|
return total;
|
|
}
|
|
|
|
n -= 20;
|
|
|
|
vvl tmp(20, vl(20));
|
|
|
|
rep(i, 19) {
|
|
tmp[i][i + 1] = 1;
|
|
}
|
|
|
|
for (int j = 20 - 6; j >= 0; j -= 4) {
|
|
tmp[19][j] = 3;
|
|
}
|
|
|
|
rep(i, 31) {
|
|
if ((n >> i) & 1) {
|
|
ans = tmp * ans;
|
|
}
|
|
tmp = tmp * tmp;
|
|
}
|
|
|
|
ll total = 0;
|
|
rep(i, 20) {
|
|
total += ans[i][0];
|
|
total %= mod;
|
|
}
|
|
|
|
return total;
|
|
}
|
|
|
|
int main()
|
|
{
|
|
ios::sync_with_stdio(false);
|
|
cin.tie(nullptr);
|
|
|
|
int t;
|
|
cin >> t;
|
|
while (t--) {
|
|
int n;
|
|
cin >> n;
|
|
|
|
// vl dp(n + 1);
|
|
// dp[0] = 1;
|
|
//
|
|
// for (int i = 1; i <= n; i++) {
|
|
// for (int j = i - 6; j >= 0 && abs(i - j) <= 20; j -= 4) {
|
|
// dp[i] += dp[j] * 3;
|
|
// dp[i] %= mod;
|
|
// }
|
|
// }
|
|
//
|
|
// ll total = 0;
|
|
// for (int i = max(n - 19, 0); i <= n; i++) {
|
|
// total += dp[i];
|
|
// total %= mod;
|
|
// }
|
|
|
|
cout << exp(n) << '\n';
|
|
// cout << total << '\n';
|
|
}
|
|
}
|