Add a bunch of other problems

Educational Codeforces Round 40 (Rated for Div. 2)/A. Diagonal Walking.cpp

@@ -0,0 +1,102 @@
+/* Problem URL: https://codeforces.com/contest/954/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;
+}
+
+int main()
+{
+    ios::sync_with_stdio(false);
+    cin.tie(nullptr);
+
+    int n;
+    string a;
+    cin >> n >> a;
+
+    map<char, char> valid;
+    valid['U'] = 'R';
+    valid['R'] = 'U';
+
+    int ans = 0;
+
+    nrep(i, 1, n) {
+        ans++;
+        if (a[i] == valid[a[i - 1]]) {
+            a[i] = ' ';
+            ans--;
+        }
+    }
+
+    cout << ans + 1 << '\n';
+}

Educational Codeforces Round 40 (Rated for Div. 2)/B. String Typing.cpp

@@ -0,0 +1,107 @@
+/* Problem URL: https://codeforces.com/contest/954/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;
+}
+
+int main()
+{
+    ios::sync_with_stdio(false);
+    cin.tie(nullptr);
+
+    int n;
+    string a;
+    cin >> n >> a;
+
+    vvi dp(n, vi(2));
+    dp[0][0] = 1;
+    dp[0][1] = 1;
+
+    nrep(i, 1, n) {
+        dp[i][0] = dp[i - 1][0] + 1;
+        dp[i][1] = dp[i - 1][1] + 1;
+
+        if (!(i & 1)) {
+            continue;
+        }
+
+        int mid = i >> 1;
+
+        if (a.substr(0, mid + 1) == a.substr(mid + 1, mid + 1)) {
+            rmin(dp[i][1], dp[mid][0] + 1);
+        }
+    }
+
+    cout << min(dp[n - 1][1], dp[n - 1][0]) << '\n';
+}

Educational Codeforces Round 40 (Rated for Div. 2)/C. Matrix Walk.cpp

@@ -0,0 +1,164 @@
+/* Problem URL: https://codeforces.com/contest/954/problem/C */
+
+#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;
+}
+
+int main()
+{
+    ios::sync_with_stdio(false);
+    cin.tie(nullptr);
+
+    int n;
+    cin >> n;
+
+    vl fds(n);
+    cin >> fds;
+
+    if (n == 1) {
+        cout << "YES\n";
+        cout << "1 1000000000\n";
+        return 0;
+    }
+
+    ll m = -1;
+
+    nrep(i, 1, n) {
+        if (fds[i] == fds[i - 1]) {
+            cout << "NO\n";
+            return 0;
+        }
+
+        if (abs(fds[i] - fds[i - 1]) == 1) {
+            continue;
+        }
+
+        if (m == -1) {
+            m = abs(fds[i] - fds[i - 1]);
+            continue;
+        }
+
+        if (abs(fds[i] - fds[i - 1]) != m) {
+             cout << "NO\n";
+             return 0;
+        }
+    }
+
+    if (m == -1) {
+        cout << "YES\n";
+        cout << "1 1000000000\n";
+        return 0;
+    }
+
+    ll i = (fds[0] - 1) / m;
+    ll j = (fds[0] - 1) % m;
+
+    ll nans = i + 1;
+
+    nrep(k, 1, n) {
+        if (abs(fds[k] - fds[k - 1]) == 1) {
+            ll jd = j + fds[k] - fds[k - 1];
+            ll id = i;
+
+            if (jd >= m || jd < 0) {
+                cout << "NO\n";
+                return 0;
+            }
+
+            i = id;
+            j = jd;
+            continue;
+        }
+
+        ll id = i + (fds[k] - fds[k - 1]) / m;
+        ll jd = j;
+
+        if (id < 0) {
+            cout << "NO\n";
+            return 0;
+        }
+
+        rmax(nans, id + 1);
+        i = id;
+        j = jd;
+    }
+
+    if (nans > 1e9 || m > 1e9) {
+        cout << "NO\n";
+        return 0;
+    }
+
+    cout << "YES\n";
+    cout << nans << ' ' << m << '\n';
+}

Educational Codeforces Round 40 (Rated for Div. 2)/D. Fight Against Traffic.cpp

@@ -0,0 +1,152 @@
+/* Problem URL: https://codeforces.com/contest/954/problem/D */
+
+#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;
+}
+
+int main()
+{
+    ios::sync_with_stdio(false);
+    cin.tie(nullptr);
+
+    int n, m, s, t;
+    cin >> n >> m >> s >> t;
+    s--, t--;
+
+    vvi graph(n);
+    vvi adj(n, vi(n));
+
+    while (m--) {
+        int a, b;
+        cin >> a >> b;
+        a--, b--;
+
+        graph[a].push_back(b);
+        graph[b].push_back(a);
+        adj[a][b] = 1;
+        adj[b][a] = 1;
+    }
+
+    int oo = INT32_MAX >> 1;
+
+    auto bfs = [&](int s, vi &depth){
+        depth[s] = 0;
+        queue<int> q;
+        q.push(s);
+
+        while (!q.empty()) {
+            auto i = q.front();
+            q.pop();
+
+            for (auto j : graph[i]) {
+                if (depth[j] > depth[i] + 1) {
+                    depth[j] = depth[i] + 1;
+                    q.push(j);
+                }
+            }
+        }
+    };
+
+    vi depth1(n, oo);
+    vi depth2(n, oo);
+    
+    bfs(s, depth1);
+    bfs(t, depth2);
+
+    int minimal = depth1[t];
+
+    V<bool> ispath(n);
+
+    ll ans = 0;
+    rep(i, n) {
+        nrep(j, i + 1, n) {
+            if (adj[i][j]) {
+                continue;
+            }
+
+            auto check = [&](int u, int v) {
+                int ne1 = min(depth1[u], depth1[v] + 1);
+                int ne2 = min(depth2[u], depth2[v] + 1);
+
+                return ne1 + ne2 >= minimal;
+            };
+
+            if (check(i, j) && check(j, i)) {
+                ans++;
+            }
+        }
+    }
+
+    cout << ans << '\n';
+}

Educational Codeforces Round 40 (Rated for Div. 2)/E. Water Taps.cpp

@@ -0,0 +1,173 @@
+/* Problem URL: https://codeforces.com/contest/954/problem/E */
+
+#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;
+}
+
+int main()
+{
+    ios::sync_with_stdio(false);
+    cin.tie(nullptr);
+
+    int n;
+    long double t;
+    cin >> n >> t;
+
+    V<pair<long double, long double>> a(n);
+    repv(i, a) {
+        cin >> i.second;
+    }
+    repv(i, a) {
+        cin >> i.first;
+    }
+
+    sort(all(a), [&](pair<long double, long double> &a, pair<long double, long double> &b) {
+            if (a.first == b.first) {
+                return a.second > b.second;
+            }
+            return a.first < b.first;
+         });
+
+    long double start = 0;
+    long double test = 0;
+    rep(i, n) {
+        start += a[i].second;
+        test += a[i].second * a[i].first;
+    }
+
+    if (test / start < t) {
+        cout << "0\n";
+        return 0;
+    }
+
+    long double low = 0;
+    long double high = start;
+    rep(i, 300) {
+        long double mid = (high + low) / 2.0L;
+
+        long double ans = 0;
+
+        long double tmp = mid;
+        long double total = 0;
+
+        rep(i, n) {
+            if (a[i].second >= tmp) {
+                ans += tmp * a[i].first;
+                total += tmp;
+                break;
+            }
+
+            ans += a[i].second * a[i].first;
+            total += a[i].second;
+            tmp -= a[i].second;
+        }
+
+        ans /= total;
+
+        // cout << high - low << ' ' << mid << ' ' << ans << '\n';
+
+        if (ans <= t) {
+            low = mid;
+            continue;
+        }
+
+        high = mid;
+    }
+
+    long double tmp = low;
+    long double total = 0;
+    long double temp = 0;
+
+    rep(i, n) {
+        if (a[i].second >= tmp) {
+            temp += tmp * a[i].first;
+            total += tmp;
+            break;
+        }
+        
+        temp += a[i].second * a[i].first;
+        total += a[i].second;
+        tmp -= a[i].second;
+    }
+
+    temp /= total;
+
+    // long double eps = 1e-9;
+    // if (abs(t - temp) >= eps) {
+    //     cout << "0\n";
+    //     return 0;
+    // }
+
+    cout << setprecision(9) << low << '\n';
+}