DataStructure/SegTree/SegTreeBeats/test3.cpp

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• Last update: 2025-06-11 15:37:14+07:00
• Link: https://judge.yosupo.jp/problem/range_chmin_chmax_add_range_sum

Depends on

• DataStructure/SegTree/SegTreeBeats/SegTreeBeats3.h
• template.h

Code

// https://judge.yosupo.jp/problem/range_chmin_chmax_add_range_sum

#include "../../../template.h"
#include "SegTreeBeats3.h"

void solve() {
    int n, q; cin >> n >> q;
    SegTreeBeats st(n);
    for (int i = 1; i <= n; i++) {
        ll x; cin >> x;
        st.build(1, 1, n, i, x);
    }
    while (q--) {
        int type, l, r; cin >> type >> l >> r;
        if (type == 0) {
            ll b; cin >> b;
            st.updateChmin(1, 1, n, l+1, r, b);
        } else if (type == 1) {
            ll b; cin >> b;
            st.updateChmax(1, 1, n, l+1, r, b);
        } else if (type == 2) {
            ll b; cin >> b;
            st.updateRange(1, 1, n, l+1, r, b);
        } else if (type == 3) {
            cout << st.getSum(1, 1, n, l+1, r) << '\n';
        }       
    }
}

#line 1 "DataStructure/SegTree/SegTreeBeats/test3.cpp"
// https://judge.yosupo.jp/problem/range_chmin_chmax_add_range_sum

#line 2 "template.h"

#include <bits/stdc++.h>
using namespace std;
 
#define ll long long
#define MOD (ll)(1e9+7)
#define all(x) (x).begin(),(x).end()
#define unique(x) x.erase(unique(all(x)), x.end())
#define INF32 ((1ull<<31)-1)
#define INF64 ((1ull<<63)-1)
#define inf (ll)1e18

#define vi vector<int>
#define pii pair<int, int>
#define pll pair<ll, ll>
#define fi first
#define se second

const int mod = 998244353;

void solve();

int main(){
    ios_base::sync_with_stdio(false);cin.tie(NULL);
    // cin.exceptions(cin.failbit);
    // int t; cin >> t;
    // while(t--)
        solve();
    cerr << "\nTime run: " << 1000 * clock() / CLOCKS_PER_SEC << "ms" << '\n';
    return 0;
}
#line 2 "DataStructure/SegTree/SegTreeBeats/SegTreeBeats3.h"


struct Node {
    ll max1, max2, cntMax, min1, min2, cntMin, sum, lazy, sz;

    Node() {
        max1 = max2 = -inf;
        min1 = min2 = inf;
        cntMax = cntMin = 0;
        sum = lazy = sz = 0;
    }

    Node(ll val) {
        max1 = min1 = val;
        max2 = -inf;
        min2 = inf;
        cntMax = cntMin = 1;
        sum = val;
        lazy = 0;
        sz = 1;
    }

    Node operator+(const Node &b) {
        Node res;

        res.max1 = max(max1, b.max1);
        res.max2 = max(max2, b.max2);
        if (res.max1 != max1) res.max2 = max(res.max2, max1);
        if (res.max1 != b.max1) res.max2 = max(res.max2, b.max1); 
        res.cntMax = 0;
        if (res.max1 == max1) res.cntMax += cntMax;
        if (res.max1 == b.max1) res.cntMax += b.cntMax;

        res.min1 = min(min1, b.min1);
        res.min2 = min(min2, b.min2);
        if (res.min1 != min1) res.min2 = min(res.min2, min1);
        if (res.min1 != b.min1) res.min2 = min(res.min2, b.min1);
        res.cntMin = 0;
        if (res.min1 == min1) res.cntMin += cntMin;
        if (res.min1 == b.min1) res.cntMin += b.cntMin;

        res.sum = sum + b.sum;
        res.lazy = 0;
        res.sz = sz + b.sz;

        return res;
    }

    void setMin(ll x) {
        if (x >= max1) return;
        sum -= (max1 - x) * cntMax;
        max1 = x;
        min1 = min(min1, x);
        if (min2 != inf) min2 = min(min2, x);
    }

    void setMax(ll x) {
        if (x <= min1) return;
        sum += (x-min1) * cntMin;
        min1 = x;
        max1 = max(max1, x);
        if (max2 != -inf) max2 = max(max2, x);
    }

    void add(ll x) {
        max1 += x;
        min1 += x;
        if (max2 != -inf) max2 += x;
        if (min2 != inf) min2 += x;
        sum += x * sz;
        lazy += x;
    }
};

// range chmin, chmax, update range, sum
class SegTreeBeats {
public:
    vector<Node> tree;

    SegTreeBeats(int n): tree(4*n+6) {}

    void build(int id, int l, int r, int pos, ll val) {
        if (pos < l || pos > r) return;
        if (l == r) {
            tree[id] = Node(val);
            return;
        }
        int mid = (l + r) >> 1;
        build(id*2, l, mid, pos, val);
        build(id*2+1, mid+1, r, pos, val);
        tree[id] = tree[id*2] + tree[id*2+1];
    }   

    void push(int id) {
        tree[id*2].add(tree[id].lazy);
        tree[id*2+1].add(tree[id].lazy);
        tree[id].lazy = 0;

        tree[id*2].setMax(tree[id].min1);
        tree[id*2+1].setMax(tree[id].min1);

        tree[id*2].setMin(tree[id].max1);
        tree[id*2+1].setMin(tree[id].max1);
    }

    void updateChmax(int id, int l, int r, int u, int v, ll x) {
        if (l > v || r < u) return;
        if (tree[id].min1 >= x) return;
        if (u <= l && r <= v && tree[id].min2 > x) {
            tree[id].setMax(x);
            return;
        }
        push(id);
        int mid = (l + r) >> 1;
        updateChmax(id*2, l, mid, u, v, x);
        updateChmax(id*2+1, mid+1, r, u, v, x);
        tree[id] = tree[id*2] + tree[id*2+1];
    }

    void updateChmin(int id, int l, int r, int u, int v, ll x) {
        if (l > v || r < u) return;
        if (tree[id].max1 <= x) return;
        if (u <= l && r <= v && tree[id].max2 < x) {
            tree[id].setMin(x);
            return;
        }
        push(id);
        int mid = (l + r) >> 1;
        updateChmin(id*2, l, mid, u, v, x);
        updateChmin(id*2+1, mid+1, r, u, v, x);
        tree[id] = tree[id*2] + tree[id*2+1];
    }

    void updateRange(int id, int l, int r, int u, int v, ll x) {
        if (l > v || r < u) return;
        if (u <= l && r <= v) {
            tree[id].add(x);
            return;
        }
        push(id);
        int mid = (l + r) >> 1;
        updateRange(id*2, l, mid, u, v, x);
        updateRange(id*2+1, mid+1, r, u, v, x);
        tree[id] = tree[id*2] + tree[id*2+1];
    }

    ll getSum(int id, int l, int r, int u, int v) {
        if (l > v || r < u) return 0;
        if (u <= l && r <= v) return tree[id].sum;
        push(id);
        int mid = (l + r) >> 1;
        ll t1 = getSum(id*2, l, mid, u, v);
        ll t2 = getSum(id*2+1, mid+1, r, u, v);
        return t1 + t2;
    }
};
#line 5 "DataStructure/SegTree/SegTreeBeats/test3.cpp"

void solve() {
    int n, q; cin >> n >> q;
    SegTreeBeats st(n);
    for (int i = 1; i <= n; i++) {
        ll x; cin >> x;
        st.build(1, 1, n, i, x);
    }
    while (q--) {
        int type, l, r; cin >> type >> l >> r;
        if (type == 0) {
            ll b; cin >> b;
            st.updateChmin(1, 1, n, l+1, r, b);
        } else if (type == 1) {
            ll b; cin >> b;
            st.updateChmax(1, 1, n, l+1, r, b);
        } else if (type == 2) {
            ll b; cin >> b;
            st.updateRange(1, 1, n, l+1, r, b);
        } else if (type == 3) {
            cout << st.getSum(1, 1, n, l+1, r) << '\n';
        }       
    }
}

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