Submission #1269678

#	Time	Username	Problem	Language	Result	Execution time	Memory
1269678		steveonalex	Harbingers (CEOI09_harbingers)	C++20	90 / 100	130 ms	34308 KiB

harbingers

#include <bits/stdc++.h>
 
using namespace std;
 
typedef long long ll;
typedef unsigned long long ull;
 
#define MASK(i) (1ULL << (i))
#define GETBIT(mask, i) (((mask) >> (i)) & 1)
#define ALL(v) (v).begin(), (v).end()
 
ll max(ll a, ll b){return (a > b) ? a : b;}
ll min(ll a, ll b){return (a < b) ? a : b;}
ll gcd(ll a, ll b){return __gcd(a, b);}
ll lcm(ll a, ll b){return a / gcd(a, b) * b;}
 
ll LASTBIT(ll mask){return (mask) & (-mask);}
int pop_cnt(ull mask){return __builtin_popcountll(mask);}
int ctz(ull mask){return __builtin_ctzll(mask);}
int logOf(ull mask){return 63 - __builtin_clzll(mask);}
 
mt19937_64 rng(chrono::high_resolution_clock::now().time_since_epoch().count());
ll rngesus(ll l, ll r){return l + (ull) rng() % (r - l + 1);}
double rngesus_d(double l, double r){
    double wow = (double) ((ull) rng()) / ((ull)(0-1));
    return wow * (r - l) + l;
}
 
template <class T1, class T2>
    bool maximize(T1 &a, T2 b){
        if (a < b) {a = b; return true;}
        return false;
    }
 
template <class T1, class T2>
    bool minimize(T1 &a, T2 b){
        if (a > b) {a = b; return true;}
        return false;
    }
 
template <class T>
    void printArr(T container, string separator = " ", string finish = "\n", ostream &out = cout){
        for(auto item: container) out << item << separator;
        out << finish;
    }
 
template <class T>
    void remove_dup(vector<T> &a){
        sort(ALL(a));
        a.resize(unique(ALL(a)) - a.begin());
    }

struct Line{
    ll a, b;
    Line(ll a = 0, ll b = 0): a(a), b(b){}
};

ll f(Line cur, ll x){
    return cur.a * x + cur.b;
}
struct LichaoTree{

    int n;
    vector<ll> b;
    vector<Line> a;
    vector<pair<int, Line>> history;

    LichaoTree(vector<ll> _b){
        b = _b;
        n = b.size() - 1;
        a.resize(n * 2 + 2, Line(1e9, 1e18));
    }

    int get_version(){
        return history.size();
    }

    void update(Line x){
        update(x, 1, n, 1);
    }

    void update(Line x, int l, int r, int id){
        if (f(a[id], b[l]) <= f(x, b[l]) && f(a[id], b[r]) <= f(x, b[r])) return;
        if (f(a[id], b[l]) >= f(x, b[l]) && f(a[id], b[r]) >= f(x, b[r])) {
            history.push_back({id, a[id]});
            a[id] = x;
            return;
        }

        int mid = (l + r) >> 1;
        update(x, l, mid, id + 1);
        update(x, mid+1, r, id + (mid - l + 1) * 2);
    }

    ll get(ll x){
        return get(x, 1, n, 1);
    }

    ll get(ll x, int l, int r, int id){
        ll ans = f(a[id], x);
        if (l == r) return ans;
        int mid = (l + r) >> 1;
        if (b[mid] >= x) minimize(ans, get(x, l, mid, id + 1));
        else minimize(ans, get(x, mid+1, r, id + (mid - l + 1) * 2));
        return ans;
    }

    void roll_back(int version){
        while(get_version() > version){
            auto i = history.back(); history.pop_back();
            a[i.first] = i.second;
        }
    }
};

const int N = 1e5 + 69;
int n;
vector<pair<ll, ll>> graph[N];
ll h[N];
ll dp[N];
vector<ll> s, v;

void dfs(int u, int p, LichaoTree &lct){
    int cur_version = lct.get_version();
    if (u != 1){
        dp[u] = s[u] + lct.get(v[u]) + v[u] * h[u];
    }
    lct.update(Line(-h[u], dp[u]));

    for(pair<ll, ll> v: graph[u]) if (v.first != p){
        h[v.first] = h[u] + v.second;
        dfs(v.first, u, lct);
    }

    lct.roll_back(cur_version);
}

void solve(){
    cin >> n;
    for(int i = 1; i < n; ++i){
        int u, v, d; cin >> u >> v >> d;
        graph[u].push_back({v, d});
        graph[v].push_back({u, d});
    }

    s.resize(n+1); v.resize(n+1);
    for(int i = 2; i <= n; ++i) cin >> s[i] >> v[i];

    vector<ll> b = v; 
    remove_dup(b);

    LichaoTree lct(b);
    dfs(1, 0, lct);

    for(int i = 2; i <= n; ++i) cout << dp[i] << " ";
    cout << "\n";
}

int main(void){
    ios::sync_with_stdio(0); cin.tie(0); cout.tie(0);

    clock_t cock = clock();

    solve();

    cerr << "Time elapsed: " << clock() - cock << "ms!\n";
    return 0;
}

• Subtask 1: 90 / 100