Submission #62573

#	Time	Username	Problem	Language	Result	Execution time	Memory
62573		qkxwsm	Construction of Highway (JOI18_construction)	C++11	100 / 100	923 ms	63676 KiB

construction

//whatever
#include <bits/stdc++.h>
#include <ext/pb_ds/tree_policy.hpp>
#include <ext/pb_ds/assoc_container.hpp>
 
using namespace std;
using namespace __gnu_pbds;
 
typedef long long ll;
typedef long double ld;
typedef complex<ld> cd;
 
typedef pair<int, int> pi;
typedef pair<ll,ll> pl;
typedef pair<ld,ld> pd;
 
typedef vector<int> vi;
typedef vector<ld> vd;
typedef vector<ll> vl;
typedef vector<pi> vpi;
typedef vector<pl> vpl;
typedef vector<cd> vcd;
 
template <class T> using Tree = tree<T, null_type, less<T>, rb_tree_tag,tree_order_statistics_node_update>;
 
#define FOR(i, a, b) for (int i=a; i<(b); i++)
#define F0R(i, a) for (int i=0; i<(a); i++)
#define FORd(i,a,b) for (int i = (b)-1; i >= a; i--)
#define F0Rd(i,a) for (int i = (a)-1; i >= 0; i--)
 
#define sz(x) (int)(x).size()
#define mp make_pair
#define pb push_back
#define f first
#define s second
#define lb lower_bound
#define ub upper_bound
#define all(x) x.begin(), x.end()
 
const int MOD = 1000000007;
const ll INF = 1e18;
const int MX = 100001;
 
template<class T, int SZ> struct BIT {
    T bit[SZ+1];
    vpi v;
    
    BIT() { memset(bit,0,sizeof bit); }
    
    
    void upd(int k, T val) { // add val to index k
        v.pb({k,val});
        for( ;k <= SZ; k += (k&-k)) bit[k] += val;
    }
    
    void clr() {
        for (auto a: v) upd(a.f,-a.s);
        v.clear();
    }
    
    T query(int k) {
        T temp = 0;
        for (;k > 0;k -= (k&-k)) temp += bit[k];
        return temp;
    }
    T query(int l, int r) { return query(r)-query(l-1); } // range query [l,r]
};
 
BIT<int,MX> B;
 
vector<vi> graph;
 
template <int V> struct HeavyLight { // sum queries, sum updates
    int parent[V], heavy[V], depth[V];
    int root[V], treePos[V];
    vpi dat[V];
    
    void init() {
        int n = sz(graph)-1;
        FOR(i,1,n+1) heavy[i] = -1;
        parent[1] = -1, depth[1] = 0;
        dfs(1);
        for (int i = 1; i <= n; ++i)
    		if (parent[i] == -1 || heavy[parent[i]] != i)
    			for (int j = i; j != -1; j = heavy[j]) {
    				root[j] = i;
    				dat[i].pb({0,1});
    			}
    }
    
    int dfs(int v) {
        int size = 1, maxSubtree = 0;
        for (auto u : graph[v]) if (u != parent[v]) {
            parent[u] = v;
            depth[u] = depth[v] + 1;
            int subtree = dfs(u);
            if (subtree > maxSubtree) heavy[v] = u, maxSubtree = subtree;
            size += subtree;
        }
        return size;
    }
 
    ll query(int v) {
        int r = root[v], tot = depth[v]-depth[r]+1;
        vpi tmp;
        int TOT = tot;
        F0Rd(i,sz(dat[r])) {
            auto a = dat[r][i];
            if (a.s >= TOT) {
                tmp.pb({a.f,TOT});
                break;
            } else {
                TOT -= a.s;
                tmp.pb(a);
            }
        }
        /*cout << v << " " << r << " " << dat[r].back().f << "\n";
        for (auto a: tmp) cout << a.f << " " << a.s << "\n";
        exit(0);*/
        reverse(all(tmp));
        
        ll ret = 0;
        for (auto x: tmp) {
            ret += (ll)x.s*B.query(x.f-1);
            B.upd(x.f,x.s);
        }
        
        return ret;
    }
    
    void upd(int v, int val) {
        int r = root[v], tot = depth[v]-depth[r]+1;
        // cout << v << " " << tot << "\n";
        int TOT = tot;
        while (dat[r].back().s < TOT) {
            TOT -= dat[r].back().s;
            dat[r].pop_back();
        }
        dat[r].back().s -= TOT;
        if (dat[r].back().s == 0) dat[r].pop_back();
        dat[r].pb({val,tot});
        // cout << "AH " << val << " " << tot << "\n";
        // exit(0);
    }
    
    ll queryPath(int v) {
        //cout << v << " " << root[v] << " " << sz(dat[v]) << "\n";
        // exit(0);
        ll ans = 0;
        B.clr();
        for (; v != -1; v = parent[root[v]]) ans += query(v);
        return ans;
    }
    
    void updPath(int v, int val) {
        for (; v != -1; v = parent[root[v]]) upd(v,val);
    }
};
 
HeavyLight<1<<17> H;
int N,M,A[MX];
pi p[MX];
 
void compress() {
    map<int,int> m;
    FOR(i,1,N+1) m[A[i]] = 0;
    int co = 0;
    for (auto& a: m) a.s = ++co;
    FOR(i,1,N+1) {
        A[i] = m[A[i]];
        // cout << A[i] << "\n";
    }
    // exit(0);
}
 
int main() {
	cin >> N; graph.resize(N+1);
	FOR(i,1,N+1) cin >> A[i];
	compress();
	F0R(i,N-1) {
	    cin >> p[i].f >> p[i].s;
	    graph[p[i].f].pb(p[i].s);
	    graph[p[i].s].pb(p[i].f);
	}
	H.init();
	H.updPath(1,A[1]);
	// exit(0);
	F0R(i,N-1) {
	    cout << H.queryPath(p[i].f) << "\n";
	    // exit(0);
	    H.updPath(p[i].s,A[p[i].s]);
	}
}

• Subtask 1: 7 / 7
• Subtask 2: 9 / 9
• Subtask 3: 84 / 84