洛谷 p3372 线段树

更改了线段树实现的方式,将lazy值作为单独的节点存在,降低存储压力

struct Node{
    long long sum;
    Node():sum(0ll){}

    Node operator +(const Node& other){
        Node res = *this;
        res.sum += other.sum;
        return res;
    };

    void applyLazy(lazyNode& value, int length){
        this->sum += 1ll * value.add * length;
    }
};


template<typename T>
class SegmentTree{
public:
    SegmentTree(const vector<T>& s): sz_(int(s.size() - 1)){
        st_.resize(4 * sz_);
        lazy_.resize(4 * sz_);
        build(s, 1, 1, sz_);
    }

    void update(int i, int j, lazyNode value){
        update(1, 1, sz_, i, j, value);
    }

    long long query(int i, int j){
        return query(1, 1, sz_, i, j).sum;
    }


private:
    vector<T> st_;
    vector<lazyNode> lazy_;
    int sz_;
    const lazyNode flag_{};

    void update(int p, int l, int r, int i, int j, lazyNode value){
        propagate(p, l, r);
        if (i > j){
            return;
        }
        if (l >= i && r <= j){
            lazy_[p] = value;
            propagate(p, l, r);
            return;
        }
        int mid = (l + r) >> 1;
        update(p << 1, l, mid, i, min(mid, j), value);
        update(p << 1 | 1, mid + 1, r, max(mid + 1, i), j, value);
        st_[p] = st_[p << 1] + st_[p << 1 | 1];
    };

    T query(int p, int l, int r, int i, int j){
        propagate(p, l, r);
        if (l >= i && r <= j){
            return st_[p];
        }
        int mid = (l + r) >> 1;
        if (j <= mid) {
            return query(p << 1, l, mid, i, j);
        }
        else if (i > mid) {
            return query(p << 1 | 1, mid + 1, r, i, j);
        }
        else {
            return (query(p << 1, l, mid, i, mid) + query(p << 1 | 1, mid + 1, r, mid + 1, j));
        }
    }

    void build(const vector<T>& s, int p, int l, int r){
        if (l == r){
            st_[p] = s[l];
        }
        else{
            int mid = (l + r) >> 1;
            build(s, p << 1, l, mid);
            build(s, p << 1 | 1, mid + 1, r);
            st_[p] = st_[p << 1] + st_[p << 1 | 1];
        }
    }

    void propagate(int p, int l, int r){
        if (lazy_[p] != flag_){
            st_[p].applyLazy(lazy_[p], r - l + 1);
            if (l != r){
                lazy_[p << 1] |= lazy_[p];
                lazy_[p << 1 | 1] |= lazy_[p];
            }
            lazy_[p] = flag_;
        }
    }
};


void solve(){
    int n, q;
    cin >> n >> q;

    vector<Node> a(n + 1);
    for (int i = 1; i <= n; ++i){
        cin >> a[i].sum;
    }

    SegmentTree<Node> st(a);
    while (q --){
        int k, x, y;
        cin >> k >> x >> y;
        if (k & 1){
            long long t;
            cin >> t;
            st.update(x, y, lazyNode(t));
        }
        else{
            cout << st.query(x, y) << '\n';
        }
    }
}

可以考虑在线段树初始化时lazyNode也作为模板类进行设置,当使用C语言变量时,可能会增加通用性。

posted @ 2024-04-19 10:55  _Yxc  阅读(20)  评论(0)    收藏  举报