Submission #157540

#TimeUsernameProblemLanguageResultExecution timeMemory
157540PeppaPigHarbingers (CEOI09_harbingers)C++14
30 / 100
250 ms54384 KiB
#include <bits/stdc++.h>

#define long long long
#define pii pair<int, int>
#define x first
#define y second

using namespace std;

const int N = 1e5+5;

vector<int> coord;

struct PersistentLiChaoTree {
    struct item {
        pii val;
        item *l, *r;
        item(pii val, item *l, item *r) : val(val), l(l), r(r) {}
    };
    item *ver[N];
    stack<item*> S;

    long f(long x, pii l) { return 1ll * l.x * x + l.y; }

    item* newleaf(pii val) { 
        item* ret = new item(val, NULL, NULL); 
        S.emplace(ret);
        return ret;
    }
    item* newpar(pii val, item* l, item *r) {
        item* ret = new item(val, l, r); 
        S.emplace(ret);
        return ret;
    }

    item* update(pii k, item *p, int l = 1, int r = coord.size()) {
        int m = (l + r) >> 1;
        
        if(!p) return newleaf(k);

        int L = coord[l-1], M = coord[m-1], R = coord[r-1];
        if(f(L, k) < f(L, p->val) && f(R, k) < f(R, p->val)) return newpar(k, p->l, p->r);
        if(f(L, k) > f(L, p->val) && f(R, k) > f(R, p->val)) return p;

        bool lef = f(L, k) < f(L, p->val);
        bool mid = f(M, k) < f(M, p->val);

        if(l == r) return newleaf(mid ? k : p->val);
        if(lef != mid) return newpar(mid ? k : p->val, update(mid ? p->val : k, p->l, l, m), p->r);
        else return newpar(mid ? k : p->val, p->l, update(mid ? p->val : k, p->r, m+1, r));
    }

    long get(int x, item *p, int l = 1, int r = coord.size()) {
        int m = (l + r) >> 1;
        if(!p) return 1e18;
        if(l == r) return f(x, p->val);
        if(x <= coord[m-1]) return min(f(x, p->val), get(x, p->l, l, m));
        else return min(f(x, p->val), get(x, p->r, m+1, r));
    }

    void rollback(int x) {
        while(S.size() > x) {
            item* now = S.top(); S.pop();
            delete now;
        }
    }
} t;

int n;
vector<pii> g[N];
int S[N], V[N], d[N];
long ans[N];

void dfs(int u, int p) {
    int tmp = t.S.size();
    if(u != 1) ans[u] = t.get(V[u], t.ver[p]) + 1ll * V[u] * d[u] + S[u];
    if(u != 1) t.ver[u] = t.update(pii(-d[u], ans[u]), t.ver[p]);
    else t.ver[u] = t.newleaf(pii(0, 0));
    for(pii v : g[u]) if(v.x != p) {
        d[v.x] = d[u] + v.y;
        dfs(v.x, u);
    }
    t.rollback(tmp);
}

int main() {
    scanf("%d", &n);
    for(int i = 1, a, b, c; i < n; i++) {
        scanf("%d %d %d", &a, &b, &c);
        g[a].emplace_back(b, c);
        g[b].emplace_back(a, c);
    }
    for(int i = 2; i <= n; i++) {
        scanf("%lld %lld", S+i, V+i);
        coord.emplace_back(V[i]);
    }
    sort(coord.begin(), coord.end());
    coord.resize(unique(coord.begin(), coord.end()) - coord.begin());
    dfs(1, 1);

    for(int i = 2; i <= n; i++) printf("%lld ", ans[i]);
    printf("\n");

    return 0;
}

Compilation message (stderr)

harbingers.cpp: In member function 'void PersistentLiChaoTree::rollback(int)':
harbingers.cpp:62:24: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
         while(S.size() > x) {
                        ^
harbingers.cpp: In function 'int main()':
harbingers.cpp:94:36: warning: format '%lld' expects argument of type 'long long int*', but argument 2 has type 'int*' [-Wformat=]
         scanf("%lld %lld", S+i, V+i);
                            ~~~     ^
harbingers.cpp:94:36: warning: format '%lld' expects argument of type 'long long int*', but argument 3 has type 'int*' [-Wformat=]
harbingers.cpp:87:10: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
     scanf("%d", &n);
     ~~~~~^~~~~~~~~~
harbingers.cpp:89:14: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
         scanf("%d %d %d", &a, &b, &c);
         ~~~~~^~~~~~~~~~~~~~~~~~~~~~~~
harbingers.cpp:94:14: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
         scanf("%lld %lld", S+i, V+i);
         ~~~~~^~~~~~~~~~~~~~~~~~~~~~~
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