Submission #1112724

#	Time	Username	Problem	Language	Result	Execution time	Memory
1112724		InvMOD	Harbingers (CEOI09_harbingers)	C++14	40 / 100	180 ms	59960 KiB

harbingers

#include <bits/stdc++.h>
using namespace std;

#define fi first
#define se second
#define gcd __gcd
#define sz(v) (int) v.size()
#define pb push_back
#define pi pair<int,int>
#define all(v) (v).begin(), (v).end()
#define compact(v) (v).erase(unique(all(v)), (v).end())
#define FOR(i, a, b) for(int i = (a); i <= (b); i++)
#define dbg(x) "[" #x " = " << (x) << "]"
///#define int long long

using ll = long long;
using ld = long double;
using ull = unsigned long long;

template<typename T> bool ckmx(T& a, const T& b){if(a < b) return a = b, true; return false;}
template<typename T> bool ckmn(T& a, const T& b){if(a > b) return a = b, true; return false;}

const int N = 1e5+1;


struct LichaoOptMem{
    struct Line{
        int a; ll b;
        Line(int a = 0, ll b = LLONG_MAX): a(a), b(b) {}
        ll f(ll x){return 1ll*a*x + b;}
        ll slope(){return a;}
        bool operator != (const Line& x) const{
            return (a != x.a || b != x.b);
        }
    };

    vector<int> compress, max_version; int global_version = 0;

    vector<vector<pair<Line, int>>> st; int trsz;
    LichaoOptMem(int n = 0, vector<int> comp = vector<int>()): trsz(n){
        compress = comp;
        max_version.resize(n+1);
        st.assign(n+1, vector<pair<Line,int>>(1, make_pair(Line(), 0)));
        return;
    }

    void roll_back(vector<pair<Line,int>>& tr, int sign){
        while(tr.back().second > global_version + sign) tr.pop_back();
        return;
    }

    void update(int l, int r, Line curLine){
        if(l > r) return;
        if(l == r){
            Line version = st[l].back().first;
            version = (version.f(compress[l]) < curLine.f(compress[l]) ? version : curLine);
            if(version != st[l].back().first)
                return st[l].push_back(make_pair(version, global_version)), void();
        }
        else{
            int mid = l+r>>1;
            roll_back(st[mid], -1);
            Line version = st[mid].back().first;
            if(version.f(compress[mid]) > curLine.f(compress[mid])) swap(curLine, version);
            if(version.slope() < curLine.slope()) update(l, mid-1, curLine);
            if(version.slope() > curLine.slope()) update(mid+1, r, curLine);
            if(version != st[mid].back().first) st[mid].push_back(make_pair(version, global_version));
        }
        return;
    }

    ll query(int l, int r, ll x){
        if(l > r) return LLONG_MAX;
        int mid = l+r>>1;
        roll_back(st[mid], 0);
        ll cur = st[mid].back().first.f(x);
        if(x == compress[mid]) return cur;
        if(x < compress[mid]) return min(cur, query(l, mid-1, x));
        if(x > compress[mid]) return min(cur, query(mid+1, r, x));
        return -1;
    }

    ll query(ll x){
        return query(0, trsz, x);
    }

    void addLine(int a, ll b){return ++global_version, update(0, trsz, Line(a, b)), void();}

    void rmvLine(){return --global_version, void();}
};

int n, wait_time[N], speed[N];

ll dp[N];

vector<pair<int,int>> adj[N];

void dfs(int x, int p, ll cur_dist, LichaoOptMem& lichao){
    if(x > 1) dp[x] = lichao.query(speed[x]) + (1ll * cur_dist * speed[x]) + (1ll * wait_time[x]);

    lichao.addLine(-cur_dist, dp[x]);

    for(pair<int,int> e : adj[x]){
        int v = e.first, w = e.second;
        if(v != p){
            dfs(v, x, cur_dist + 1ll*w, lichao);
        }
    }
    lichao.rmvLine();
    return;
}

void solve()
{
    int n; cin >> n;
    FOR(i, 2, n){
        int u,v,w; cin >> u >> v >> w;
        adj[u].emplace_back(v, w);
        adj[v].emplace_back(u, w);
    }

    vector<int> compress;
    FOR(i, 2, n){
        cin >> wait_time[i] >> speed[i];
        compress.push_back(speed[i]);
    }

    sort(all(compress));
    LichaoOptMem lichao(sz(compress)-1, compress);
    dfs(1, -1, 0, lichao);

    FOR(i, 2, n) cout << dp[i] <<" \n"[i == n];
}

signed main()
{
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    cout.tie(0);

    #define name "InvMOD"
    if(fopen(name".INP", "r")){
        freopen(name".INP","r",stdin);
        freopen(name".OUT","w",stdout);
    }

    int t = 1; //cin >> t;
    while(t--) solve();
    return 0;
}

Compilation message (stderr)

harbingers.cpp: In member function 'void LichaoOptMem::update(int, int, LichaoOptMem::Line)':
harbingers.cpp:61:24: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   61 |             int mid = l+r>>1;
      |                       ~^~
harbingers.cpp: In member function 'll LichaoOptMem::query(int, int, ll)':
harbingers.cpp:74:20: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   74 |         int mid = l+r>>1;
      |                   ~^~
harbingers.cpp: In function 'int main()':
harbingers.cpp:143:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
  143 |         freopen(name".INP","r",stdin);
      |         ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~
harbingers.cpp:144:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
  144 |         freopen(name".OUT","w",stdout);
      |         ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~

• Subtask 1: 40 / 100