Add a bunch of other problems.

Matrix Exponentiation/A. Random Mood.cpp

@@ -0,0 +1,148 @@
+/* Problem URL: https://codeforces.com/gym/102644/problem/A */
+
+#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;
+}
+
+const int oo = INT32_MAX >> 1;
+const ll OO = INT64_MAX >> 1;
+
+
+void pre()
+{
+
+}
+
+#define TEST 0
+
+void solve()
+{
+    ll n;
+    long double p;
+    cin >> n >> p;
+
+    // long double h = 1;
+    // long double s = 1;
+    //
+    // rep(i, n) {
+    //     long double th = h * (1 - p) + s * p;
+    //     long double ts = h * p + s * (p - 1);
+    //     h = th;
+    //     s = ts;
+    // }
+
+    V<V<long double>> mat = {{1}, 
+                             {0}};
+
+    auto mul = [&](V<V<long double>> &a, V<V<long double>> &b) {
+        V<V<long double>> c(a.size(), V<long double>(b[0].size()));
+
+        rep(i, c.size()) {
+            rep(j, c[0].size()) {
+                rep(k, b.size()) {
+                    c[i][j] += a[i][k] * b[k][j];
+                }
+            }
+        }
+
+        return c;
+    };
+
+    V<V<long double>> prob = {{1 - p, p},
+                              {p, 1 - p}};
+
+    rep(i, 30) {
+        if ((n >> i) & 1) {
+            mat = mul(prob, mat);
+        }
+
+        prob = mul(prob, prob);
+    }
+
+    cout << fixed << setprecision(10) << mat[0][0] << '\n';
+}
+
+int main()
+{
+    ios::sync_with_stdio(false);
+    cin.tie(nullptr);
+
+    pre();
+
+    int t;
+    (TEST && cin >> t) || (t = 1);
+    while (t--) {
+        solve();
+    }
+}