#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
#include <ext/pb_ds/priority_queue.hpp>
//#pragma GCC optimize("Ofast") //#pragma GCC optimize "unroll-loops" //#pragma GCC target "sse,sse2,sse3,sse4,abm,avx,avx2,fma,mmx,popcnt,tune=native" //#pragma GCC optimize "prefetch-loop-arrays"
using namespace std; using namespace __gnu_pbds;
#define foru(i,a,b) for(int i=(a);i<(b);i++)
#define ford(i,a,b) for(int i=(a)-1;i>=(b);i--)
#define fori(a,b) foru(i,a,b)
#define forj(a,b) foru(j,a,b)
#define fork(a,b) foru(k,a,b)
#define seto(x,i) memset(x,i,sizeof x)
#define pf first
#define ps second
#define pb push_back
#define eb emplace_back
#define em emplace
#define mp make_pair
#define mt make_tuple
#define popcount __builtin_popcount
#define popcountll __builtin_popcountll
#define clz __builtin_clz
#define clzll __builtin_clzll
#define ctz __builtin_ctz
#define ctzll __builtin_ctzll
#define P2(x) (1LL<<(x))
#define sz(x) (int)x.size()
#define all(x) begin(x),end(x)
#define lwb lower_bound
#define upb upper_bound
#if __SIZEOF_INT128__
typedef __int128_t i128; typedef __uint128_t ui128;
#else
typedef int64_t i128; typedef uint64_t ui128;
#endif
typedef int64_t ll; typedef uint64_t ull; typedef long double lld; typedef pair<int,int> pii; typedef pair<ll,ll> pll; typedef pair<lld,lld> pdd;
template<class T1,class T2> using ordered_map=tree<T1,T2,less<T1>,rb_tree_tag,tree_order_statistics_node_update>; template<class T1> using ordered_set=ordered_map<T1,null_type>;
template<class T> using minpq=std::priority_queue<T,vector<T>,greater<T>>; template<class T> using maxpq=std::priority_queue<T,vector<T>,less<T>>;
template<class T> using minpairingheap=__gnu_pbds::priority_queue<T,greater<T>,pairing_heap_tag>; template<class T>using maxpairingheap=__gnu_pbds::priority_queue<T,less<T>,pairing_heap_tag>;
const int inf=0x3f3f3f3f,MOD=1e9+7; const ll INF=0x3f3f3f3f3f3f3f3f; const lld PI=acos((lld)-1);
const ll SEED=443214^chrono::duration_cast<chrono::nanoseconds>(chrono::high_resolution_clock::now().time_since_epoch()).count();
mt19937 randgen(SEED); ll rand(ll a, ll b){return uniform_int_distribution<ll>(a,b)(randgen);}
ll gcd(ll a, ll b){return b?gcd(b,a%b):a;}
ll fpow(ll a,ll b){ll ret=1;for(;b;b>>=1){if(b&1) ret=ret*a%MOD;a=a*a%MOD;}return ret;} ll fpow(ll a,ll b,ll M){ll ret=1;for(;b;b>>=1){if(b&1) ret=ret*a%M;a=a*a%M;}return ret;}
template<class T1,class T2>constexpr const auto _min(const T1&x,const T2&y){return x<y?x:y;} template<class T,class...Ts>constexpr auto _min(const T&x,const Ts&...xs){return _min(x,_min(xs...));}
template<class T1,class T2>constexpr const auto _max(const T1&x,const T2&y){return x>y?x:y;} template<class T,class...Ts>constexpr auto _max(const T&x,const Ts&...xs){return _max(x,_max(xs...));}
#define min(...) _min(__VA_ARGS__)
#define max(...) _max(__VA_ARGS__)
template<class T1,class T2>constexpr bool ckmin(T1&x,const T2&y){return x>y?x=y,1:0;} template<class T,class...Ts>constexpr bool ckmin(T&x,const Ts&...xs){return ckmin(x,min(xs...));}
template<class T1,class T2>constexpr bool ckmax(T1&x,const T2&y){return x<y?x=y,1:0;} template<class T,class...Ts>constexpr bool ckmax(T&x,const Ts&...xs){return ckmax(x,max(xs...));}
template<class T,class U> void erase(T& t,const U& u){auto it=t.find(u);if(it!=end(t)) t.erase(it);}
struct chash{
static ll splitmix64(ll x){x+=0x9e3779b97f4a7c15; x=(x^(x>>30))*0xbf58476d1ce4e5b9; x=(x^(x>>27))*0x94d049bb133111eb; return x^(x>>31);}
template<class T> size_t operator()(const T &x) const{return splitmix64(hash<T>()(x)+SEED);}
template<class T1,class T2> size_t operator()(const pair<T1,T2>&x)const{return 31*operator()(x.first)+operator()(x.second);}};
void fIn(string s){freopen(s.c_str(),"r",stdin);} void fOut(string s){freopen(s.c_str(),"w",stdout);} void fIO(string s){fIn(s+".in"); fOut(s+".out");}
string to_string(char c){return string(1,c);} string to_string(char* s){return (string)s;} string to_string(string s){return s;}
template<class T> string to_string(complex<T> c){stringstream ss; ss<<c; return ss.str();}
template<class T1,class T2> string to_string(pair<T1,T2> p){return "("+to_string(p.pf)+","+to_string(p.ps)+")";}
template<class T> string to_string(T v){string ret="{"; for(const auto& x:v) ret+=to_string(x)+","; return ret+"}";}
void DBG(){cerr<<"]"<<endl;} template<class T,class... Ts> void DBG(T x,Ts... xs){cerr<<to_string(x); if(sizeof...(xs)) cerr<<", "; DBG(xs...);}
#ifdef LOCAL
#define dbg(...) cerr<<"Line("<< __LINE__<<") -> ["<<#__VA_ARGS__<<"]: [", DBG(__VA_ARGS__)
#else
#define dbg(...) 0
#endif
#define nl "\n"
const int N=100010,M=MOD;
//ty kactl
struct Line {
mutable ll k, m, p;
bool operator<(const Line& o) const { return k < o.k; }
bool operator<(ll x) const { return p < x; }
};
struct LineContainer : multiset<Line, less<>> {
// (for doubles, use inf = 1/.0, div(a,b) = a/b)
static const ll inf = LLONG_MAX;
ll div(ll a, ll b) { // floored division
return a / b - ((a ^ b) < 0 && a % b); }
bool isect(iterator x, iterator y) {
if (y == end()) return x->p = inf, 0;
if (x->k == y->k) x->p = x->m > y->m ? inf : -inf;
else x->p = div(y->m - x->m, x->k - y->k);
return x->p >= y->p;
}
void add(ll k, ll m) {
auto z = insert({k, m, 0}), y = z++, x = y;
while (isect(y, z)) z = erase(z);
if (x != begin() && isect(--x, y)) isect(x, y = erase(y));
while ((y = x) != begin() && (--x)->p >= y->p)
isect(x, erase(y));
}
ll query(ll x) {
assert(!empty());
auto l = *lower_bound(x);
return l.k * x + l.m;
}
} best;
ll n,a,b,c,dep[N],dp[N],s[N],t[N];
vector<pii> gr[N];
void dfs(int v,int p=0){
dp[v]=-best.query(t[v])+dep[v]*t[v]+s[v];
best.add(dep[v],-dp[v]);
for(auto i:gr[v]) if(i.pf!=p){
dep[i.pf]=dep[v]+i.ps;
dfs(i.pf,v);
}
}
int main(){
cin.tie(0)->sync_with_stdio(0);
cin>>n;
fori(1,n){
cin>>a>>b>>c; gr[a].eb(b,c); gr[b].eb(a,c);
}
fori(2,n+1) cin>>s[i]>>t[i];
best.add(0,0);
dfs(1);
fori(2,n+1) cout<<dp[i]<<nl;
return 0;
}
/**
d[i]*v[i]-d[j]*v[i]+dp[j]+a[i]
min(dp[j]-d[j]*v[i]) + d[i]*v[i]+a[i];
*/
Compilation message
harbingers.cpp: In function 'void fIn(std::string)':
harbingers.cpp:56:27: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)', declared with attribute warn_unused_result [-Wunused-result]
56 | void fIn(string s){freopen(s.c_str(),"r",stdin);} void fOut(string s){freopen(s.c_str(),"w",stdout);} void fIO(string s){fIn(s+".in"); fOut(s+".out");}
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~
harbingers.cpp: In function 'void fOut(std::string)':
harbingers.cpp:56:78: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)', declared with attribute warn_unused_result [-Wunused-result]
56 | void fIn(string s){freopen(s.c_str(),"r",stdin);} void fOut(string s){freopen(s.c_str(),"w",stdout);} void fIO(string s){fIn(s+".in"); fOut(s+".out");}
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Incorrect |
3 ms |
2668 KB |
Output isn't correct |
| 2 |
Correct |
5 ms |
3180 KB |
Output is correct |
| 3 |
Correct |
53 ms |
11244 KB |
Output is correct |
| 4 |
Correct |
78 ms |
15468 KB |
Output is correct |
| 5 |
Correct |
102 ms |
18432 KB |
Output is correct |
| 6 |
Correct |
131 ms |
21612 KB |
Output is correct |
| 7 |
Incorrect |
71 ms |
12396 KB |
Output isn't correct |
| 8 |
Incorrect |
139 ms |
19432 KB |
Output isn't correct |
| 9 |
Incorrect |
126 ms |
18924 KB |
Output isn't correct |
| 10 |
Incorrect |
127 ms |
20328 KB |
Output isn't correct |
