#include <bits/stdc++.h>

#define VARNAME(x) #x
#define show(x) cerr << #x << " = " << x << endl

using namespace std;
using ll = long long;
using ld = long double;

template <typename T>
vector<T> Vec(int n, T v)
{
    return vector<T>(n, v);
}
template <class... Args>
auto Vec(int n, Args... args)
{
    auto val = Vec(args...);
    return vector<decltype(val)>(n, move(val));
}
template <typename T>
ostream& operator<<(ostream& os, const vector<T>& v)
{
    os << "sz:" << v.size() << "\n[";
    for (const auto& p : v) {
        os << p << ",";
    }
    os << "]\n";
    return os;
}

template <typename S, typename T>
ostream& operator<<(ostream& os, const pair<S, T>& p)
{
    os << "(" << p.first << "," << p.second
       << ")";
    return os;
}


constexpr ll MOD = (ll)1e9 + 7LL;
constexpr ld PI = static_cast<ld>(3.1415926535898);
template <typename T>
constexpr T INF = numeric_limits<T>::max() / 10;

template <typename Base>
class SegmentTree
{
public:
    using BaseAlgebra = Base;
    using AccMonoid = typename BaseAlgebra::AccMonoid;
    using OpMonoid = typename BaseAlgebra::OpMonoid;
    using T = typename BaseAlgebra::T;
    using F = typename BaseAlgebra::OpMonoid::T;

    SegmentTree(const int n) : data_num(n), size(1 << (1 + __lg(2 * data_num - 1))), half(size >> 1), value(size, AccMonoid::identity()), action(size, OpMonoid::identity()) { assert(n > 0); }
    SegmentTree(const std::vector<T>& val) : data_num(val.size()), size(1 << (1 + __lg(2 * data_num - 1))), half(size >> 1), value(size), action(size, OpMonoid::identity())
    {
        for (int data = 0; data < half; data++) {
            if (data < data_num) {
                value[data + half] = val[data];
            } else {
                value[data + half] = AccMonoid::identity();
            }
        }
        for (int node = half - 1; node >= 1; node--) {
            value[node] = acc(value[2 * node], value[2 * node + 1]);
        }
    }

    void initialize()
    {
        for (int i = 0; i < size; i++) {
            value[i] = AccMonoid::identity();
            action[i] = OpMonoid::identity();
        }
    }

    void initialize(const vector<T>& val)
    {
        for (int data = 0; data < half; data++) {
            if (data < data_num) {
                value[data + half] = val[data];
            } else {
                value[data + half] = AccMonoid::identity();
            }
        }
        for (int node = half - 1; node >= 1; node--) {
            value[node] = acc(value[2 * node], value[2 * node + 1]);
        }
    }

    T get(const int a) const
    {
        assert(0 <= a and a < data_num);
        return accumulate(a, a + 1);
    }

    void set(const int a, const T val)
    {
        assert(0 <= a and a < data_num);
        const int node = a + half;
        value[node] = val;
        for (int i = node / 2; i > 0; i /= 2) {
            value[i] = acc(value[2 * i], value[2 * i + 1]);
        }
    }

    T accumulate(const int a, const int b) const  // Accumulate (a,b]
    {
        assert(0 <= a and a < b and b <= data_num);
        return accumulateRec(1, 0, half, a, b);
    }

    void modify(const int a, const int b, const F& f)  // Apply f on (a,b]
    {
        assert(0 <= a and a < b and b <= data_num);
        if (f == OpMonoid::identity()) {
            return;
        }
        modifyRec(1, 0, half, a, b, f);
    }

    int query(const int a, const int b) const  // query (a,b]
    {
        assert(0 <= a and a < b and b <= data_num);
        return queryRec(1, 0, half, a, b);
    }

private:
    void modifyRec(const int range_index, const int range_left, const int range_right, const int op_left, const int op_right, const F& f)
    {
        if (op_left <= range_left and range_right <= op_right) {
            value[range_index] = act(f, value[range_index]);
            action[range_index] = compose(f, action[range_index]);
        } else if (range_right <= op_left or op_right <= range_left) {
            // Do nothing
        } else {
            modifyRec(2 * range_index, range_left, (range_left + range_right) / 2, 0, half, action[range_index]);
            modifyRec(2 * range_index, range_left, (range_left + range_right) / 2, op_left, op_right, f);
            modifyRec(2 * range_index + 1, (range_left + range_right) / 2, range_right, 0, half, action[range_index]);
            modifyRec(2 * range_index + 1, (range_left + range_right) / 2, range_right, op_left, op_right, f);
            value[range_index] = acc(value[2 * range_index], value[2 * range_index + 1]);
            action[range_index] = OpMonoid::identity();
        }
    }

    T accumulateRec(const int range_index, const int range_left, const int range_right, const int op_left, const int op_right) const
    {
        if (op_left <= range_left and range_right <= op_right) {
            return value[range_index];
        } else if (range_right <= op_left or op_right <= range_left) {
            return AccMonoid::identity();
        } else {
            return act(action[range_index], acc(accumulateRec(2 * range_index, range_left, (range_left + range_right) / 2, op_left, op_right),
                                                accumulateRec(2 * range_index + 1, (range_left + range_right) / 2, range_right, op_left, op_right)));
        }
    }

    int queryRec(const int range_index, const int range_left, const int range_right, const int op_left, const int op_right) const
    {
        if (op_left <= range_left and range_right <= op_right) {
            return value[range_index];
        } else if (range_right <= op_left or op_right <= range_left) {
            return AccMonoid::identity();
        } else {
            return queryRec(2 * range_index, range_left, (range_left + range_right) / 2, op_left, op_right) + queryRec(2 * range_index + 1, (range_left + range_right) / 2, range_right, op_left, op_right);
        }
    }

    const int data_num;  // Num of valid data on leaves.
    const int size;
    const int half;
    vector<T> value;   // Tree for value(length: size)
    vector<F> action;  // Tree for action(length: half)
    bool has_lazy;

    const AccMonoid acc{};
    const OpMonoid compose{};
    const BaseAlgebra act{};
};
struct Min_Plus {
    using T = ll;

    struct AccMonoid {
        T operator()(const T& a, const T& b) const { return min(a, b); }
        static constexpr T identity() { return INF<T>; }
    };

    struct OpMonoid {
        using T = ll;
        T operator()(const T& f1, const T& f2) const { return f1 + f2; }
        static constexpr T identity() { return 0; }
    };

    T operator()(const OpMonoid::T& f, const T& x) const { return f + x; }
};

int main()
{
    cin.tie(0);
    ios::sync_with_stdio(false);
    int N;
    cin >> N;
    vector<ll> T(N - 1);
    vector<ll> init(N - 1);
    vector<ll> tim(N - 1);
    int pos = 0;
    for (int i = 0; i < N - 1; i++) {
        ll prev = (i == 0 ? 0LL : init[i - 1] + 3);
        cin >> T[i];
        if (prev > T[i]) {
            init[i] = prev;
        } else {
            pos = i;
            init[i] = T[i];
        }
    }
    for (int i = 0; i < pos; i++) {
        tim[i] = init[pos] - 3 * (pos - i) - T[i];
    }
    for (int i = pos + 1; i < N - 1; i++) {
        tim[i] = init[pos] + 3 * (i - pos) - T[i];
    }


    int M;
    cin >> M;
    SegmentTree<Min_Plus> seg(tim);
    ll prev = init[N - 2] + 3;
    for (int i = 0; i < M; i++) {
        int l, r;
        cin >> l >> r;
        l--, r--;
        ll d;
        cin >> d;
        const ll minimum = seg.accumulate(l, r + 1);
        if (minimum >= d) {
            seg.modify(l, r + 1, -d);
            cout << prev << endl;
        } else {
            const ll rest = d - minimum;
            seg.modify(l, r + 1, -d);
            seg.modify(0, N - 1, rest);
            prev += rest;
            cout << prev << endl;
        }
    }


    return 0;
}