Submission #893993

#	Time	Username	Problem	Language	Result	Execution time	Memory
893993		azosi	Min-max tree (BOI18_minmaxtree)	C++17	0 / 100	181 ms	28168 KiB

minmaxtree

#include <bits/stdc++.h>

#define x first
#define y second
using namespace std;

const int MAX_N = 70002;
const int INF = 1e9 + 1000;
vector<int> g[MAX_N], tree[MAX_N];
int n, k;

struct SegmentTree {
    typedef int (*F)(int, int);

    F merge;
    int identity;
    int tree[MAX_N * 4]{}, lazy[MAX_N * 4]{};

    SegmentTree(F func, int identity) : merge(func), identity(identity) {
        for (int i = 0; i < MAX_N * 4; ++i) tree[i] = lazy[i] = identity;
    }

    void push(int node, int l, int r) {
        if (lazy[node] != identity) {
            tree[node] = merge(tree[node], lazy[node]);
            if (l != r) {
                lazy[node * 2] = merge(lazy[node * 2], lazy[node]);
                lazy[node * 2 + 1] = merge(lazy[node * 2 + 1], lazy[node]);
            }
        }
        lazy[node] = identity;
    }

    void update(int s, int e, int val, int node = 1, int l = 1, int r = n) {
        push(node, l, r);
        if (e < l || r < s) return;
        if (s <= l && r <= e) {
            lazy[node] = val;
            push(node, l, r);
            return;
        }
        int mid = (l + r) / 2;
        update(s, e, val, node * 2, l, mid);
        update(s, e, val, node * 2 + 1, mid + 1, r);
        tree[node] = merge(tree[node * 2], tree[node * 2 + 1]);
    }

    int query(int s, int e, int node = 1, int l = 1, int r = n) {
        push(node, l, r);
        if (e < l || r < s) return identity;
        if (s <= l && r <= e) return tree[node];
        int mid = (l + r) / 2;
        return merge(query(s, e, node * 2, l, mid), query(s, e, node * 2 + 1, mid + 1, r));
    }

};

int _mn(int a, int b) {
    return min(a, b);
}

int _mx(int a, int b) {
    return max(a, b);
}

SegmentTree minSeg(_mn, INF);
SegmentTree maxSeg(_mx, -INF);

void makeTree(int here = 1, int prev = 0) {
    for (auto there: g[here]) {
        if (there == prev) continue;
        tree[here].push_back(there);
        makeTree(there, here);
    }
}

int sz[MAX_N], dep[MAX_N], par[MAX_N], top[MAX_N], in[MAX_N];

void dfs1(int here = 1) {
    sz[here] = 1;
    for (auto &there: tree[here]) {
        dep[there] = dep[here] + 1;
        par[there] = here;
        dfs1(there);
        sz[here] += sz[there];
        if (sz[there] > sz[tree[here][0]]) swap(there, tree[here][0]);
    }
}

int counter;


void dfs2(int here = 1) {
    in[here] = ++counter;
    for (auto there: tree[here]) {
        top[there] = there == tree[here][0] ? top[here] : there;
        dfs2(there);
    }
}

void update(int a, int b, int val, bool qType) {
    while (top[a] != top[b]) {
        if (dep[top[a]] < dep[top[b]]) swap(a, b);
        int st = top[a];

        qType ? minSeg.update(in[st], in[a], val) : maxSeg.update(in[st], in[a], val);
        a = par[st];
    }
    if (a == b) return;
    if (dep[a] > dep[b]) swap(a, b);
    qType ? minSeg.update(in[a] + 1, in[b], val) : maxSeg.update(in[a] + 1, in[b], val);
}

pair<int, int> query(int a, int b) {
    pair<int, int> ret = {INF, -INF};
    while (top[a] != top[b]) {
        if (dep[top[a]] < dep[top[b]]) swap(a, b);
        int st = top[a];
        ret.first = min(ret.first, minSeg.query(in[st], in[a]));
        ret.second = max(ret.second, maxSeg.query(in[st], in[a]));
        a = par[st];
    }
    if (a == b) return ret;
    if (dep[a] > dep[b]) swap(a, b);
    ret.first = min(ret.first, minSeg.query(in[a] + 1, in[b]));
    ret.second = max(ret.second, maxSeg.query(in[a] + 1, in[b]));
    return ret;
}

struct Query {
    int s, e, x, mx;
};
map<int, int> mp;
int cnt[70707], ans[70707];
int vis[70707], chk[70707];
vector<int> track[70707];
vector<Query> qry;
int mn[70707], mx[70707];

int main() {
    ios_base::sync_with_stdio(false);
    cin.tie(nullptr);
    cout.tie(nullptr);
    cin >> n;

    for (int i = 0; i < n - 1; ++i) {
        int a, b;
        cin >> a >> b;
        g[a].push_back(b);
        g[b].push_back(a);
    }
    cin >> k;
    makeTree();
    dfs1();
    dfs2();

    vector<int> zz;
    for (int i = 0; i < k; ++i) {
        char q;
        int x, y, z;
        cin >> q >> x >> y >> z;
        if (q == 'M') {
            update(x, y, z, false);
        } else {
            update(x, y, z, true);
        }
        qry.push_back({x, y, z, q == 'M'});
    }

    map<int, int> idx;

    for (int i = 0; i < k; i++) mp[qry[i].x] = i;
    for (int i = 2; i <= n; i++) {
        mn[i] = maxSeg.query(in[i], in[i]);
        mx[i] = minSeg.query(in[i], in[i]);
        if (mn[i] != -INF) {
            cnt[mp[mn[i]]]++;
            track[mp[mn[i]]].push_back(i);
        }
        if (mx[i] != INF) {
            cnt[mp[mx[i]]]++;
            track[mp[mx[i]]].push_back(i);
        }
    }

    memset(chk, 0, sizeof chk);
    priority_queue<pair<int, int>, vector<pair<int, int>>, greater<> > pq;
    for (int i = 0; i < k; i++) pq.push({cnt[mp[qry[i].x]], i});
    while (!pq.empty()) {
        pair<int, int> now = pq.top();
        pq.pop();
        if (now.x != cnt[now.y]) continue;
        vis[now.y] = true;
        for (int i: track[now.y]) {
            if (chk[i]) continue;
            ans[i] = qry[now.y].x;
            chk[i] = true;
            if (qry[now.y].mx) {
                if (mn[i] != -INF) {
                    cnt[mp[mn[i]]]--;
                    if (!vis[mp[mn[i]]]) pq.push({cnt[mp[mn[i]]], mp[mn[i]]});
                }
            } else {
                if (mx[i] != INF) {
                    cnt[mp[mx[i]]]--;
                    if (!vis[mp[mx[i]]]) pq.push({cnt[mp[mx[i]]], mp[mx[i]]});
                }
            }
            break;
        }
    }
    for (int i = 2; i <= n; i++) if (!chk[i]) ans[i] = mn[i];
    for (int i = 2; i <= n; i++) {
        cout << par[i] << " " << i << " " << ans[i] << "\n";
    }
}

• Subtask 1: 0 / 7
• Subtask 2: 0 / 22
• Subtask 3: 0 / 29
• Subtask 4: 0 / 42