Submission #723747

#	Time	Username	Problem	Language	Result	Execution time	Memory
723747		bLIC	Harbingers (CEOI09_harbingers)	C++17	100 / 100	145 ms	30176 KiB

harbingers

/**
 *  Author: Anil Byar
**/

#include <bits/stdc++.h>
// #include <ext/pb_ds/assoc_container.hpp>
// #include <ext/pb_ds/tree_policy.hpp>

// using namespace __gnu_pbds;
using namespace std;

// template<class T>
// using ordered_set = tree<T, null_type, less_equal<T>, rb_tree_tag, tree_order_statistics_node_update> ordered_set;



#define all(x) x.begin(), x.end()
#define rall(x) x.rbegin(), x.rend()
#define sz(x) (int)(x).size()
#define uniq(v) v.erase(unique(all(v)), v.end())
#define ft first
#define sd second
#define pb push_back

// Source: https://codeforces.com/blog/entry/68809
// { start
void __print(int x) {cerr << x;}
void __print(long x) {cerr << x;}
void __print(long long x) {cerr << x;}
void __print(unsigned x) {cerr << x;}
void __print(unsigned long x) {cerr << x;}
void __print(unsigned long long x) {cerr << x;}
void __print(float x) {cerr << x;}
void __print(double x) {cerr << x;}
void __print(long double x) {cerr << x;}
void __print(char x) {cerr << '\'' << x << '\'';}
void __print(const char *x) {cerr << '"' << x << '"';}
void __print(const string &x) {cerr << '"' << x << '"';}
void __print(bool x) {cerr << (x ? "true" : "false");}

template<typename T, typename V>
void __print(const pair<T, V> &x) {cerr << '{'; __print(x.first); cerr << ','; __print(x.second); cerr << '}';}
template<typename T>
void __print(const T &x) {int f = 0; cerr << '{'; for (auto &i: x) cerr << (f++ ? "," : ""), __print(i); cerr << "}";}
void _print() {cerr << "]\n";}
template <typename T, typename... V>
void _print(T t, V... v) {__print(t); if (sizeof...(v)) cerr << ", "; _print(v...);}
#ifndef ONLINE_JUDGE
#define debug(x...) cerr << "[" << #x << "] = ["; _print(x)
#else
#define debug(x...)
#endif
// } end


typedef long long ll;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
typedef vector<int> vi;
typedef vector<pii> vii;
typedef vector<ll> vl;
typedef vector<pll> vll;
typedef vector<vi> vvi;
typedef vector<vii> vvii;
typedef vector<vl> vvl;

#define dbg if(0)

const ll MOD = 1e9+7;
const ll MOD9 = 998244353;
const ll INFLL = 1e18+5;
const int INF = 1e9;

void printbit(int x, int len) {string s="\n";while(len--){s=((x%2)?'1':'0')+s;x/=2;} cout<<s;}
ll power(ll x, ll y, ll mod){if (y==0) return 1;ll ret = power(x, y/2, mod);ret *= ret;ret%=mod;if (y&1) ret *= x;return ret%mod;}
ll modinv(ll x, ll mod = MOD) {return power(x, mod-2, mod);}

template<class T>
istream& operator>>(istream&in, vector<T>&v){
    for (T& x:v) in>>x;
    return in;
}
template<class T>
ostream& operator<<(ostream&out, vector<T>&v){
    for (T& x:v) out<<x<<' ';
    cout<<'\n';
    return out;
}
// use ?: with brackets (?:)
// check for overflow
// think about dp
// Read the statement carefully


struct Line{
    ll m, c;
    Line(ll mm, ll cc):m(mm), c(cc){}
    Line(){}
    ll at(ll x){
        return m*x+c;
    }
    friend ostream& operator<<(ostream&out, Line l){
        out<<l.m<<"x + "<<l.c<<' ';
        return out;
    }
};

double intersection(const Line& l1, const Line& l2) {
    return (l2.c-l1.c)/(double)(l1.m-l2.m);
}


#define sq(x) ((x)*(x))

const int maxN = 1e5+5; // change this
const int maxK = 8001;

ll dep[maxN];
ll dp[maxN];
ll V[maxN], S[maxN];
vii adj[maxN];
pair<double, Line> d[maxN];
int stkptr;

Line getline(int x, int ind){
    int l = 0, r = ind+1;
    while(r-l>1){
        int m = (l+r)/2;
        if (d[m].first<=x) l = m;
        else r = m;
    }
    return d[l].second;
}

int getreplaceIdx(const Line& line, int ptr){
    int l = 0, r = ptr+1;
    while(r-l>1){
        int mid = (l+r)/2;
        if (intersection(line, d[mid].second)>d[mid].first) l = mid;
        else r = mid;
    }
    return r;
}

void dfs(int node, int par, int ind){
    pair<double, Line> tmp;
    if (node==1){
        dp[node] = 0;
        Line curr = {0, 0};
        d[ind] = {0, curr};
    } else {
        dp[node] = V[node]*dep[node]+S[node] + getline((int)V[node], ind).at(V[node]);
        Line curr(-dep[node], dp[node]);
        int newind = getreplaceIdx(curr, ind);
        tmp = d[newind];
        d[newind] = {intersection(curr, d[newind-1].second), curr};
        ind = newind;
    }

    for (pii x:adj[node]){
        if (x.ft==par) continue;
        dep[x.ft] = dep[node] + x.sd;
        dfs(x.first, node, ind);
    }

    d[ind] = tmp;
}


void solve(){
    int n;cin>>n;
    for (int i = 0;i<n-1;i++){
        int u, v, w;cin>>u>>v>>w;
        adj[u].push_back({v, w});
        adj[v].push_back({u, w});
    }

    for (int i = 2;i<=n;i++){
        cin>>S[i]>>V[i];
    }
    dfs(1, 0, 0);
    for (int i = 2;i<=n;i++) cout<<dp[i]<<' ';
    return;
}

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

#define ONLINE_JUDGE
#ifndef ONLINE_JUDGE
    freopen("input.in", "r", stdin);
    freopen("output.out", "w", stdout);
    freopen("debug.dbg", "w", stderr);
    int tt = clock();
#endif

    int t=1, i = 1;
    // cin>>t;
    while(t--){
        // cout<<"Case #"<<i++<<": ";
        solve();
        cout<<"\n"[t!=0];
    }
#ifndef ONLINE_JUDGE
    cerr << "TIME = " << (float)(clock() - tt)/CLOCKS_PER_SEC << endl;
    tt = clock();
#endif
}

Compilation message (stderr)

harbingers.cpp: In function 'int main()':
harbingers.cpp:199:14: warning: unused variable 'i' [-Wunused-variable]
  199 |     int t=1, i = 1;
      |              ^

• Subtask 1: 100 / 100