2025-09-12 14:50:25 -03:00

165 lines
3.5 KiB
C++

/* Problem URL: https://codeforces.com/edu/course/2/lesson/4/4/practice/contest/274684/problem/B */
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace std;
using namespace __gnu_pbds;
template <class T, class comp = less<>>
using ordered_set = tree<T, null_type , comp , rb_tree_tag , tree_order_statistics_node_update>;
#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;
}
using mat = array<array<int, 2>, 2>;
int main()
{
ios::sync_with_stdio(false);
cin.tie(nullptr);
int r, n, m;
cin >> r >> n >> m;
V<mat> fds(n);
rep(i, n) {
rep(j, 2) {
rep(k, 2) {
cin >> fds[i][j][k];
}
}
}
const mat identity = {{{1, 0}, {0, 1}}};
while (__builtin_popcount(n) != 1) {
n++;
fds.emplace_back(identity);
}
auto mul = [&](mat &a, mat &b, mat &ans) {
ans[0][0] = (a[0][0] * b[0][0] + a[0][1] * b[1][0]) % r;
ans[1][0] = (a[1][0] * b[0][0] + a[1][1] * b[1][0]) % r;
ans[0][1] = (a[0][0] * b[0][1] + a[0][1] * b[1][1]) % r;
ans[1][1] = (a[1][0] * b[0][1] + a[1][1] * b[1][1]) % r;
};
V<mat> seg(n * 2);
nrep(i, n, n * 2) {
seg[i] = fds[i - n];
}
for (int i = n - 1; i > 0; i--) {
mul(seg[i * 2], seg[i * 2 + 1], seg[i]);
}
function<void(int, int, int, int, int, mat&)> query = [&](int i, int l, int r, int tl, int tr, mat &ans) {
if (l > tr || r < tl) {
ans = identity;
return;
}
if (l >= tl && r <= tr) {
ans = seg[i];
return;
}
int mid = (l + r) >> 1;
mat ans1;
mat ans2;
query(i * 2, l, mid, tl, tr, ans1);
query(i * 2 + 1, mid + 1, r, tl, tr, ans2);
mul(ans1, ans2, ans);
};
while (m--) {
int l, r;
cin >> l >> r;
l--, r--;
mat res;
query(1, 0, n - 1, l, r, res);
rep(i, 2) {
rep(j, 2) {
cout << res[i][j] << ' ';
}
cout << '\n';
}
if (m > 0) {
cout << '\n';
}
}
}