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Counting Towers.cpp
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Counting Towers.cpp
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/// say Alhamdulillah
#include <bits/stdc++.h>
using namespace std;
#define fast \
ios_base::sync_with_stdio(0); \
cin.tie(0); \
cout.tie(0);
#define ll int
#define init \
ll count = 0, zz, t; \
cin >> t; \
while (t--)
#define ld long double
#define ed "\n"
#define eb emplace_back
#define con continue
#define bre break
#define pl " "
#define pll " --- "
#define size size()
#define mpr make_pair
#define vec vector<ll>
#define lmax LONG_LONG_MAX
#define lmin LONG_LONG_MIN
#define forr(i, a, b) for (ll i = a; i < b; i++)
#define forrev(i, a, b) for (ll i = a; i >= b; i--)
const ll mod = 1e9 + 7;
// #define v.all v.begin(), v.end()
#define printArrWhole(arr, n) \
for (ll i = 0; i < n; i++) \
cout << arr[i] << " "; \
cout << endl;
#define printArrLim(arr, in, n) \
for (ll i = in; i <= n; i++) \
cout << arr[i] << " "; \
cout << endl;
#define printYesNo(flag) \
if (flag == 0) \
cout << "NO"; \
else \
cout << "YES"; \
cout << endl;
#define printvcWhole(vc) \
for (auto x : vc) \
cout << x << " "; \
cout << endl;
#define printvcLim(vc, in, n) \
for (ll i = in; i <= n; i++) \
cout << vc[i] << " "; \
cout << endl;
#define printdqWhole(dq) \
for (auto x : dq) \
cout << x << " "; \
cout << endl;
#define printdqLim(dq, in, n) \
for (ll i = in; i <= n; i++) \
cout << dq[i] << " "; \
cout << endl;
#define sortArr(arr, n) sort(arr, arr + n);
#define sortvc(v) sort(v.begin(), v.end());
#define rev(v) reverse(v.begin(), v.end());
#define find(v, x) find(v.begin(), v.end(), x);
const ll mAX = 1e6;
int main() {
fast
// init
{
// count++;
ll i, j, k, x, y, z, p, q, m, n, l, r, l1, l2, r1, r2, ans, flag, sum;
ll mini = lmax, maxi = -1, piv, piv1, piv2, low, high, rem, now, prev;
ll dif = 0, change = 0, total = 0, same = 0, plus = 0, minus = 0, zero = 0;
// char ch, ch1, ch2, ch3, ch4;
// string sarr[n];
// string s, s1 = "", s2 = "";
// string res1 = "", res2 = "", chk1 = "", chk2 = "", chk3 = "", chk4 = "",
// pivs = "", rems = "";
// cin >> n;
// n = s.size;
// ll arr[n];
// number[n], cost[n], forsum[n], backsum[n];
// vector<ll> v, v1, v2, vans, vpos, vlen, vsum, vdif;
// vector<ll> v(n);
vector<vec> dp(mAX, vec(8));
// vector<tuple<ll,ll,ll>> vtup, vtup1, vtup2, vtup3;
// vector <string> vstr(n);
// vector<pair<ll, ll>> vpr, vpr1, vpr2, vpr3;
// vector<vec> vdarr(n, vec(10, 0));
// deque<ll> dq, dq1, dq2;
// pair<ll, ll> pr, pr1, pr2;
// set<ll> st, st1, st2, ms, ldiff, rdiff;
// multiset <ll> mst, mst1, mst2;
// multiset<ll, greater<ll>> mst, mst1, mst2;
// multiset <pair<ll,ll>> mst, mst1, mstans;
// priority_queue<ll> pq, pq1, pq2;
// stack<ll> stck, stck1, stck2;
// map<int, ll> mp, mp1, mp2;
// map<pair<ll,ll>,ll> mpair, mpair1, mpair2;
// vector<pair<ll,ll>> vpr, vpr1, vpr2;
// queue<ll> vq[10],vq1,vq2;
// Point pa,pb,pt[n];
// Node pa,pb,pt[n];
forr(i, 0, mAX) {
forr(j, 0, 8) {
if (!i)
dp[i][j] = 1;
else if (j == 0)
dp[i][j] = (((((dp[i][j] + dp[i - 1][0]) % mod + dp[i - 1][1]) % mod +
dp[i - 1][2]) %
mod +
dp[i - 1][4]) %
mod +
dp[i - 1][6]) %
mod;
else if (j == 1)
dp[i][j] = (((dp[i][j] + dp[i - 1][3]) % mod + dp[i - 1][5]) % mod +
dp[i - 1][7]) %
mod;
else if (j == 2)
dp[i][j] = (((((dp[i][j] + dp[i - 1][2]) % mod + dp[i - 1][0]) % mod +
dp[i - 1][1]) %
mod +
dp[i - 1][4]) %
mod +
dp[i - 1][6]) %
mod;
else if (j == 3)
dp[i][j] = (((((dp[i][j] + dp[i - 1][0]) % mod + dp[i - 1][1]) % mod +
dp[i - 1][2]) %
mod +
dp[i - 1][4]) %
mod +
dp[i - 1][6]) %
mod;
else if (j == 4)
dp[i][j] = (((((dp[i][j] + dp[i - 1][4]) % mod + dp[i - 1][0]) % mod +
dp[i - 1][1]) %
mod +
dp[i - 1][2]) %
mod +
dp[i - 1][6]) %
mod;
else if (j == 5)
dp[i][j] = (((dp[i][j] + dp[i - 1][5]) % mod + dp[i - 1][3]) % mod +
dp[i - 1][7]) %
mod;
else if (j == 6)
dp[i][j] = (((((dp[i][j] + dp[i - 1][6]) % mod + dp[i - 1][0]) % mod +
dp[i - 1][1]) %
mod +
dp[i - 1][2]) %
mod +
dp[i - 1][4]) %
mod;
else if (j == 7)
dp[i][j] = (((dp[i][j] + dp[i - 1][7]) % mod + dp[i - 1][3]) % mod +
dp[i - 1][5]) %
mod;
}
}
// cout<<"-----------------yess"<<endl;
cin >> n;
forr(i, 0, n) {
cin >> x;
cout << (dp[x - 1][3] + dp[x - 1][5]) % mod << ed;
}
// cout<<ans<<ed;
}
}
///////////////////////////////////////////////////////////////////////
// 0-----
// |_|_| from=0,1,2,4,6
// |_|_|
// 1-----
// |_|_| from=3,5,7
// |___|
// 2-----
// |_| | from=0,1,2,4,6
// |_|_|
// 3-----
// |___| from=0,1,2,4,6
// |_|_|
// 4-----
// | |_| from=0,1,2,4,6
// |_|_|
// 5-----
// |___| from=3,5,7
// |___|
// 6-----
// | | | from=0,1,2,4,6
// | | |
// 7-----
// | | from=3,5,7
// |___|
///////////////////////////////////////////////////////////////////////