maxrope.cpp

// iran

#include <bits/stdc++.h>
using namespace std;
using i64 = int64_t;
using vi = vector<i64>;
using vvi = vector<vi>;
//#define endl '\n'

class xorshift {
    uint64_t x;
public:
    xorshift() {
        mt19937 rnd(chrono::steady_clock::now().time_since_epoch().count());
        x = rnd();
        for (int i = 0; i < 100; i++) {
            random();
        }
    }
    uint64_t random() {
        x = x ^ (x << 7);
        return x = x ^ (x >> 9);
    }
};

using T = i64;

struct SumMonoid {
    static constexpr T id() {
        return 0;
    }
    static T op(T a, T b) {
        return a + b;
    }
};

struct MinMonoid {
    static constexpr T id() {
        return 2e18;
    }
    static T op(T a, T b) {
        return min(a, b);
    }
};

// 本来はSumMonoid用
struct UpdateMonoid {
    static constexpr T id() {
        return 2e18;
    }
    static T op(T a, T b) {
        return b;
    }
};

struct Modifier {
    // lazyの結果によってaccがどう変わるか。szは部分木のサイズ
    static T op(T a, T b, int sz) {
        return b == UpdateMonoid::id() ? a : b * sz;
    }
};

template<class Monoid, class OperatorMonoid>
class ImplicitTreap {
    xorshift rnd;
    struct Node {
        T value, acc, lazy;
        int priority, cnt;
        bool rev;
        Node *l, *r;
        Node(T value, int priority) : value(value), acc(Monoid::id()), lazy(OperatorMonoid::id()), priority(priority), cnt(1), rev(false), l(nullptr), r(nullptr) {}
    } *root = nullptr;
    using Tree = Node *;

    int cnt(Tree t) {
        return t ? t->cnt : 0;
    }

    T acc(Tree t) {
        return t ? t->acc : Monoid::id();
    }

    void update_cnt(Tree t) {
        if (t) {
            t->cnt = 1 + cnt(t->l) + cnt(t->r);
        }
    }

    void update_acc(Tree t) {
        if (t) {
            t->acc = Monoid::op(acc(t->l), Monoid::op(t->value, acc(t->r)));
        }
    }

    void pushup(Tree t) {
        update_cnt(t), update_acc(t);
    }

    void pushdown(Tree t) {
        if (t && t->rev) {
            t->rev = false;
            swap(t->l, t->r);
            if (t->l) t->l->rev ^= 1;
            if (t->r) t->r->rev ^= 1;
        }
        if (t && t->lazy != OperatorMonoid::id()) {
            if (t->l) {
                t->l->lazy = OperatorMonoid::op(t->l->lazy, t->lazy);
                t->l->acc = Modifier::op(t->l->acc, t->lazy, cnt(t->l));
            }
            if (t->r) {
                t->r->lazy = OperatorMonoid::op(t->r->lazy, t->lazy);
                t->r->acc = Modifier::op(t->r->acc, t->lazy, cnt(t->r));
            }
            t->value = Modifier::op(t->value, t->lazy, 1);
            t->lazy = OperatorMonoid::id();
        }
        pushup(t);
    }

    void split(Tree t, int key, Tree& l, Tree& r) {
        if (!t) {
            l = r = nullptr;
            return;
        }
        pushdown(t);
        int implicit_key = cnt(t->l) + 1;
        if (key < implicit_key) {
            split(t->l, key, l, t->l), r = t;
        } else {
            split(t->r, key - implicit_key, t->r, r), l = t;
        }
        pushup(t);
    }

    void insert(Tree& t, int key, Tree item) {
        Tree t1, t2;
        split(t, key, t1, t2);
        merge(t1, t1, item);
        merge(t, t1, t2);
    }

    void merge(Tree& t, Tree l, Tree r) {
        pushdown(l);
        pushdown(r);
        if (!l || !r) {
            t = l ? l : r;
        } else if (l->priority > r->priority) {
            merge(l->r, l->r, r), t = l;
        } else {
            merge(r->l, l, r->l), t = r;
        }
        pushup(t);
    }

    void erase(Tree& t, int key) {
        Tree t1, t2, t3;
        split(t, key + 1, t1, t2);
        split(t1, key, t1, t3);
        merge(t, t1, t2);
    }

    void update(Tree t, int l, int r, T x) {
        if (l >= r) return;
        Tree t1, t2, t3;
        split(t, l, t1, t2);
        split(t2, r - l, t2 , t3);
        t2->lazy = OperatorMonoid::op(t2->lazy, x);
        t2->acc = Modifier::op(t2->acc, x, cnt(t2));
        merge(t2, t2, t3);
        merge(t, t1, t2);
    }

    T query(Tree t, int l, int r) {
        if (l == r) return Monoid::id();
        Tree t1, t2, t3;
        split(t, l, t1, t2);
        split(t2, r - l, t2, t3);
        T ret = t2->acc;
        merge(t2, t2, t3);
        merge(t, t1, t2);
        return ret;
    }

    // [l, r)の中で左から何番目か
    int find(Tree t, T x, int offset, bool left = true) {
        if (Monoid::op(t->acc, x) == x) {
            return -1;
        } else {
            if (left) {
                if (t->l && Monoid::op(t->l->acc, x) != x) {
                    return find(t->l, x, offset, left);
                } else {
                    return (Monoid::op(t->value, x) != x) ? offset + cnt(t->l) : find(t->r, x, offset + cnt(t->l) + 1, left);
                }
            } else {
                if (t->r && Monoid::op(t->r->acc, x) != x) {
                    return find(t->r, x, offset + cnt(t->l) + 1, left);
                } else {
                    return (Monoid::op(t->value, x) != x) ? offset + cnt(t->l) : find(t->l, x, offset, left);
                }
            }
        }
    }

    void reverse(Tree t, int l, int r) {
        if (l > r) return;
        Tree t1, t2, t3;
        split(t, l, t1, t2);
        split(t2, r - l, t2, t3);
        t2->rev ^= 1;
        merge(t2, t2, t3);
        merge(t, t1, t2);
    }

    // [l, r)の先頭がmになるようにシフトさせる。std::rotateと同じ仕様
    void rotate(Tree t, int l, int m, int r) {
        reverse(t, l, r);
        reverse(t, l, l + r - m);
        reverse(t, l + r - m, r);
    }

    void dump(Tree t) {
        if (!t) return;
        pushdown(t);
        dump(t->l);
        cout << t->value << " ";
        dump(t->r);
    }

public:
    ImplicitTreap() {}
    ImplicitTreap(vector<T> as) {
        ::reverse(as.begin(), as.end());
        for (T a : as) {
            insert(0, a);
        }
    }

    int size() {
        return cnt(root);
    }

    void insert(int pos, T x) {
        insert(root, pos, new Node(x, rnd.random()));
    }

    void update(int l, int r, T x) {
        update(root, l, r, x);
    }

    T query(int l, int r) {
        return query(root, l, r);
    }

    // 二分探索。[l, r)内のkでMonoid::op(tr[k], x) != xとなる最左/最右のもの。存在しない場合は-1
    // たとえばMinMonoidの場合、x未満の最左/最右の要素の位置を返す
    int binary_search(int l, int r, T x, bool left = true) {
        if (l >= r) return -1;
        Tree t1, t2, t3;
        split(root, l, t1, t2);
        split(t2, r - l, t2, t3);
        int ret = find(t2, x, l, left);
        merge(t2, t2, t3);
        merge(root, t1, t2);
        return ret;
    }

    void erase(int pos) {
        erase(root, pos);
    }

    void reverse(int l, int r) {
        reverse(root, l, r);
    }

    void rotate(int l, int m, int r) {
        rotate(root, l, m, r);
    }

    void dump() {
        dump(root);
        cout << endl;
    }

    T operator[](int pos) {
        return query(pos, pos + 1);
    }
};

struct MaxRope {
    ImplicitTreap<SumMonoid, UpdateMonoid> tr;
    ImplicitTreap<MinMonoid, UpdateMonoid> tr2;
    int cnt = 0;

    void add(T a) {
        int p = tr2.binary_search(0, tr2.size(), a);
        if (p == -1) {
            tr.insert(tr.size(), a);
            tr2.insert(tr2.size(), a);
        } else {
            tr.insert(p, a);
            tr2.insert(p, a);
        }
        cnt++;
    }

    int size() const {
        return cnt;
    }

    T sum(int k) {
        return tr.query(0, k);
    }

    T operator[](int k) {
        return tr[k];
    }

    void dump() {
        tr.dump();
    }
};

int main() {
    ios::sync_with_stdio(false);
    cin.tie(0);

    int q;
    cin >> q;
    MaxRope rope;
    long long sum = 0;
    long long B = 0;
    while (q--) {
        int t;
        cin >> t;
        if (t == 1) {
            int a, b;
            cin >> a >> b;
            rope.add(a);
            sum += a;
            B += b;
        } else {
            int n = rope.size();
            if (n & 1) {
                int mid = n / 2;
                long long M = rope[mid];
                long long large = rope.sum(mid);
                long long small = sum - large - M;
                cout << M << ' ' << M * mid - small + large - mid * M + B << '\n';
            } else {
                int mid = n / 2;
                long long M = rope[mid];
                long long large = rope.sum(mid);
                long long small = sum - large - M;
                cout << M << ' ' << M * (mid - 1) - small + large - mid * M + B << '\n';
            }
        }
    }
}