結果

問題 No.1212 Second Path
ユーザー penguinman
提出日時 2020-08-01 19:11:32
言語 C++14
(gcc 13.3.0 + boost 1.87.0)
結果
RE  
実行時間 -
コード長 7,956 bytes
コンパイル時間 2,803 ms
コンパイル使用メモリ 212,564 KB
実行使用メモリ 6,824 KB
最終ジャッジ日時 2024-10-15 03:27:06
合計ジャッジ時間 9,873 ms
ジャッジサーバーID
(参考情報)
judge3 / judge2
このコードへのチャレンジ
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ファイルパターン 結果
sample AC * 3
other AC * 12 RE * 33
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ソースコード

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プレゼンテーションモードにする

#include<bits/stdc++.h>
//using namespace std;
#pragma GCC target("avx")
#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")
#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native")
#define rep(i,j,n) for(ll i=(ll)(j);i<(ll)(n);i++)
#define REP(i,j,n) for(ll i=(ll)(j);i<=(ll)(n);i++)
#define per(i,j,n) for(ll i=(ll)(j);(ll)(n)<=i;i--)
#define ll long long
#define ALL(a) (a).begin(),(a).end()
#define disup(A,key) distance(A.begin(),upper_bound(ALL(A),(ll)(key)))
#define dislow(A,key) distance(A.begin(),lower_bound(ALL(A),(ll)(key)))
#define pb emplace_back
#define mp std::make_pair
//
#define endl "\n"
//using std::endl;
using std::cin;
using std::cout;
using std::vector;
using std::string;
using std::upper_bound;
using std::lower_bound;
using vi=vector<ll>;
using vii=vector<vi>;
using pii=std::pair<ll,ll>;
//
constexpr ll MOD=1e9+7;
//constexpr ll MOD=998244353;
//constexpr ll MOD=10000000;
//constexpr ll MOD=1e4;
constexpr ll MAX=3e6;
constexpr ll inf=(1ll<<60);
template<class T>
class prique :public std::priority_queue<T, std::vector<T>, std::greater<T>> {};
template<typename T>
struct Segment_tree{
ll N;
T mem;
vector<T> node;
Segment_tree(vector<T> &X,T m):mem(m){
ll sz=X.size();
N=1;
while(N<sz) N*=2;
node.resize(2*N-1,mem);
rep(i,0,sz) node[N-1+i]=X[i];
per(i,N-2,0){
node[i]=Compare(node[i*2+1],node[i*2+2]);
}
}
T Compare(T &A,T &B){
return std::max(A,B);
}
void update(ll X,T val){
X+=N-1;
node[X]=val;
while(X>0){
X=(X-1)/2;
node[X]=Compare(node[X*2+1],node[X*2+2]);
}
}
T Query(ll a,ll b,ll now,ll l,ll r){ //[a,b),[l,r)
if(r<0) r=N;
if(r<=a||b<=l) return mem;
if(a<=l&&r<=b) return node[now];
auto vl=Query(a,b,now*2+1,l,(l+r)/2),vr=Query(a,b,now*2+2,(l+r)/2,r);
return Compare(vl,vr);
}
};
struct Tree{
int N;
vector<vector<int>> dp;
vector<int> dist,par;
vi dist2;
Tree(vii edge){
N=edge.size();
dp.resize(N);
dist.resize(N,-1);
dist2.resize(N,-1);
par.resize(N,-1);
for(int i=0;i<N;i++) dp[i].resize(30);
dist[0]=dp[0][0]=0;
std::queue<int> que;
que.push(0);
while(!que.empty()){
int now=que.front(); que.pop();
for(int i=0;i<edge[now].size();i++){
int next=edge[now][i];
if(dist[next]==-1){
dist[next]=dist[now]+1;
que.push(next);
dp[next][0]=par[next]=now;
}
}
}
for(int i=1;i<30;i++){
for(int j=0;j<N;j++) dp[j][i]=dp[dp[j][i-1]][i-1];
}
}
int LCA(int X,int Y){
if(dist[X]<dist[Y]) std::swap(X,Y);
{
int Z=dist[X]-dist[Y];
for(int i=0;i<30;i++){
if(Z&(1<<i)){
X=dp[X][i];
}
}
}
if(X==Y) return X;
for(int i=29;i>=0;i--){
if(dp[X][i]!=dp[Y][i]){
X=dp[X][i];
Y=dp[Y][i];
}
}
return dp[X][0];
}
void make_dist2(vii edge,vii weight){
std::queue<int> que;
que.push(0);
dist2[0]=0;
while(!que.empty()){
int now=que.front(); que.pop();
for(int i=0;i<edge[now].size();i++){
int next=edge[now][i];
if(dist2[next]==-1){
dist2[next]=dist2[now]+weight[now][i];
que.push(next);
}
}
}
}
};
struct Binary_indexed_tree{
int N;
vi bit;
Binary_indexed_tree(int n):N(n){
bit.resize(N+1,0);
}
void add(int x,ll a){
for(x;x<=N;x+=(x&-x)) bit[x]+=a;
}
ll sum(int x){
ll ret=0;
for(x;x>0;x-=(x&-x)) ret+=bit[x];
return ret;
}
ll lower_bound(ll X){
if(sum(N)<X) return -1;
ll ret=0,memo=1,sum=0;
while(memo*2<=N) memo*=2;
while(memo>0){
if(memo+ret<=N&&sum+bit[memo+ret]<X){
sum+=bit[memo+ret];
ret+=memo;
}
memo/=2;
}
return ret+1;
}
};
struct Union_Find{
ll N;
vi par;
vi siz;
Union_Find(int n):N(n){
par.resize(N);
siz.resize(N,1);
rep(i,0,N) par[i]=i;
}
ll root(ll X){
if(par[X]==X) return X;
return par[X]=root(par[X]);
}
bool same(ll X,ll Y){
return root(X)==root(Y);
}
void unite(ll X,ll Y){
X=root(X);
Y=root(Y);
if(X==Y) return;
par[X]=Y;
siz[Y]+=siz[X];
siz[X]=0;
}
ll size(ll X){
return siz[root(X)];
}
};
long long modpow(long long a, long long n, long long mod) {
long long res = 1;
while (n > 0) {
if (n & 1) res = res * a % mod;
a = a * a % mod;
n >>= 1;
}
return res;
}
vi fac,finv,inv;
void COMinit() {
fac.resize(MAX);
finv.resize(MAX);
inv.resize(MAX);
fac[0] = fac[1] = 1;
finv[0] = finv[1] = 1;
inv[1] = 1;
for (int i = 2; i < MAX; i++){
fac[i] = fac[i - 1] * i % MOD;
inv[i] = MOD - inv[MOD%i] * (MOD / i) % MOD;
finv[i] = finv[i - 1] * inv[i] % MOD;
}
}
ll COM(ll n,ll r){
if(n<r||n<0||r<0) return 0;
return fac[n]*finv[r]%MOD*finv[n-r]%MOD;
}
void comp(vi &A){
std::map<ll,ll> memo;
rep(i,0,A.size()) memo[A[i]]=0;
ll cnt=1;
for(auto &p:memo) p.second=cnt++;
rep(i,0,A.size()) A[i]=memo[A[i]];
}
int main(){
std::ios::sync_with_stdio(false);
std::cin.tie(nullptr);
ll N; cin>>N;
assert(N<=5000);
vii edge(N),weight(N);
rep(i,1,N){
ll X,Y,Z; cin>>X>>Y>>Z;
edge[X-1].pb(Y-1);
edge[Y-1].pb(X-1);
weight[X-1].pb(Z);
weight[Y-1].pb(Z);
}
Tree tr(edge);
ll Q; cin>>Q;
vii memo(N);
vi pardist(N,inf);
std::map<pii,ll> to;
rep(i,0,N){
rep(j,0,edge[i].size()){
int X=edge[i][j];
if(X==tr.par[i]) pardist[i]=weight[i][j];
else memo[i].pb(weight[i][j]);
to[mp(i,X)]=weight[i][j];
}
sort(ALL(memo[i]));
}
tr.make_dist2(edge,weight);
rep(i,0,Q){
ll X,Y; cin>>X>>Y;
X--,Y--;
ll Z=tr.LCA(X,Y);
ll ans=tr.dist2[Y]+tr.dist2[X]-tr.dist2[Z]*2;
ll min=inf,me=-1;
while(X!=Z){
ll P=inf;
if(memo[X].size()>0){
if(memo[X][0]==me){
if(memo[X].size()>1) P=memo[X][1];
}
else P=memo[X][0];
}
min=std::min(min,P);
if(tr.par[X]==Z) break;
me=pardist[X];
X=tr.par[X];
}
std::swap(X,Y);
while(X!=Z){
ll P=inf;
if(memo[X].size()>0){
if(memo[X][0]==me){
if(memo[X].size()>1) P=memo[X][1];
}
else P=memo[X][0];
}
min=std::min(min,P);
if(tr.par[X]==Z) break;
me=pardist[X];
X=tr.par[X];
}
std::map<ll,ll> map;
rep(i,0,std::min(3,(int)memo[Z].size())) map[memo[Z][i]]++;
map[pardist[Z]]++;
if(to.count(mp(X,Z))&&map.count(to[mp(X,Z)])){
map[to[mp(X,Z)]]--;
if(map[to[mp(X,Z)]]==0) map.erase(to[mp(X,Z)]);
}
std::swap(X,Y);
if(to.count(mp(X,Z))&&map.count(to[mp(X,Z)])){
map[to[mp(X,Z)]]--;
if(map[to[mp(X,Z)]]==0) map.erase(to[mp(X,Z)]);
}
if(!map.empty()) min=std::min(min,(*begin(map)).first);
if(min==inf) ans=-1;
else ans+=min*2;
cout<<ans<<endl;
}
}
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