#include <bits/stdc++.h>
#define int ll
using namespace std;
#define rep(i,n) for(int i=0;i<n;i++)
#define per(i,n) for(int i=n-1;i>=0;i--)
#define rng(i,c,n) for(int i=c;i<n;i++)
#define fi first
#define se second
#define vec vector
#define pb push_back
#define sz(a) (int)a.size()
#define all(a) a.begin(),a.end()
typedef long long ll;
typedef vector<int> vi;
typedef pair<int,int> pii;
void print(){cout<<'\n';}
template<class h,class...t>
void print(const h&v,const t&...u){cout<<v<<' ',print(u...);}
#define yare cout<<"TAK\n";
#define nare cout<<"NIE\n";
const int inf=1e18;
void slv(){
int n,q;
cin>>n>>q;
vec<vec<pii>> adj(n);
rep(i,n-1){
int u,v,w;
cin>>u>>v>>w;
u--,v--;
adj[u].pb({w,v});
adj[v].pb({w,u});
}
bool fnd=0;
vec<vi> dp(n,vi(8,-inf));
auto gap=[&](){
fnd=0;
rep(i,n){
rep(msk,1<<3){
dp[i][msk]=-inf;
}
dp[i][0]=0;
}
};
int num=0;
vi usd(n,0),chs(n,0);
auto refill=[&](auto self,int v,int par)->void{
num+=1;
chs[v]=1;
for(auto [w,u]:adj[v]){
if(u==par or usd[u]) continue;
self(self,u,v);
chs[v]+=chs[u];
}
};
auto find_centroid=[&](auto self,int v,int par)->int{
// print(v);
for(auto [w,u]:adj[v]){
if(u==par or usd[u]) continue;
// print(chs[u]);
if(chs[u]*2>num){
return self(self,u,v);
}
}
return v;
};
refill(refill,0,-1);
int rt=find_centroid(find_centroid,0,-1);
vi par(n,-1);
vi ord;
auto dfs=[&](auto self,int v)->void{
for(auto [w,u]:adj[v]){
if(u==par[v]) continue;
par[u]=v;
self(self,u);
}
ord.pb(v);
};
dfs(dfs,rt);
vi a(3);
vi sum(1<<3);
auto work=[&](){
vec<vi> f(1<<3,vi(2,-inf));
auto nf=f;
bool debug=0;
auto push=[&](int msk1,int w,int type,int pass=0){
rep(msk,1<<3){
int now=sum[msk];
// print(now);
if(w>=now){
int new_msk=msk|msk1;
int nw=w-now;
if(type==1) nw=0;
// if(debug) print(new_msk,nw,pass,type);
nf[new_msk][type]=max(nf[new_msk][type],nw);
if(type==0){
nf[new_msk][type]=max(nf[new_msk][type],pass);
}
}
}
debug=0;
};
int lst=n;
rep(i,n){
int v=ord[i];
rep(msk,1<<3){
rep(t,2){
f[msk][t]=-inf;
nf[msk][t]=-inf;
}
}
f[0][0]=0;
for(auto [w,u]:adj[v]){
if(u==par[v]) continue;
nf=f;
rep(msk,1<<3){
rep(msk1,1<<3){
if(dp[u][msk1]<0) continue;
// don't merge and go up
int new_msk=msk|msk1;
if(f[msk][0]>=0){
nf[new_msk][0]=max({nf[new_msk][0],f[msk][0],dp[u][msk1]+w});
}
// don't merge and don't go up: create new mask
if(f[msk][0]>=0){
// if(v==0 and u==4 and msk==0 and msk1==0) debug=1;
push(new_msk,dp[u][msk1]+w,0,f[msk][0]); // over all masks satisfied lets update nf
}
// merged and don't go up: create new mask
if(f[msk][1]>=0){
push(new_msk,dp[u][msk1]+w,1);
}
// merged and don't go up: don't create anything
if(f[msk][1]>=0){
nf[new_msk][1]=0;
}
// merge
if(f[msk][0]>=0){
push(new_msk,f[msk][0]+dp[u][msk1]+w,1);
}
}
}
// if(v==0 and u==1) print(nf[0][0]);
// if(v==0 and u==4) print(nf[2][0]);
// if(v==1 and (nf[7][0] or nf[7][1])) print(u,"wtf");
f.swap(nf);
}
rep(msk,1<<3){
dp[v][msk]=max(f[msk][0],f[msk][1]);
}
if(dp[v][7]>=0){
lst=i+1;
fnd=1;
break;
}
}
rep(i,lst){
int v=ord[i];
rep(msk,1<<3){
dp[v][msk]=-inf;
}
dp[v][0]=0;
}
};
auto debug=[&](){
rep(i,n){
cout<<"debugging for vertex : "<<i+1<<" {\n";
rep(msk,1<<3){
cout<<" msk = "<<msk<<" "<<dp[i][msk]<<"\n";
}
cout<<"} \n";
cout<<"~ ~ ~\n";
}
};
rep(iter,q){
rep(j,3){
cin>>a[j];
}
sum=vi(1<<3);
rep(msk,1<<3){
rep(j,3){
if(msk>>j&1){
// print(a[j]);
sum[msk]+=a[j];
}
}
}
// gap();
fnd=0;
work();
// debug();
if(fnd){
yare;
}else{
nare;
}
}
}
signed main(){
ios::sync_with_stdio(0),cin.tie(0);
int t;
t=1;
// cin>>t;
rep(cs,t){
slv();
}
}
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 | #include <bits/stdc++.h> #define int ll using namespace std; #define rep(i,n) for(int i=0;i<n;i++) #define per(i,n) for(int i=n-1;i>=0;i--) #define rng(i,c,n) for(int i=c;i<n;i++) #define fi first #define se second #define vec vector #define pb push_back #define sz(a) (int)a.size() #define all(a) a.begin(),a.end() typedef long long ll; typedef vector<int> vi; typedef pair<int,int> pii; void print(){cout<<'\n';} template<class h,class...t> void print(const h&v,const t&...u){cout<<v<<' ',print(u...);} #define yare cout<<"TAK\n"; #define nare cout<<"NIE\n"; const int inf=1e18; void slv(){ int n,q; cin>>n>>q; vec<vec<pii>> adj(n); rep(i,n-1){ int u,v,w; cin>>u>>v>>w; u--,v--; adj[u].pb({w,v}); adj[v].pb({w,u}); } bool fnd=0; vec<vi> dp(n,vi(8,-inf)); auto gap=[&](){ fnd=0; rep(i,n){ rep(msk,1<<3){ dp[i][msk]=-inf; } dp[i][0]=0; } }; int num=0; vi usd(n,0),chs(n,0); auto refill=[&](auto self,int v,int par)->void{ num+=1; chs[v]=1; for(auto [w,u]:adj[v]){ if(u==par or usd[u]) continue; self(self,u,v); chs[v]+=chs[u]; } }; auto find_centroid=[&](auto self,int v,int par)->int{ // print(v); for(auto [w,u]:adj[v]){ if(u==par or usd[u]) continue; // print(chs[u]); if(chs[u]*2>num){ return self(self,u,v); } } return v; }; refill(refill,0,-1); int rt=find_centroid(find_centroid,0,-1); vi par(n,-1); vi ord; auto dfs=[&](auto self,int v)->void{ for(auto [w,u]:adj[v]){ if(u==par[v]) continue; par[u]=v; self(self,u); } ord.pb(v); }; dfs(dfs,rt); vi a(3); vi sum(1<<3); auto work=[&](){ vec<vi> f(1<<3,vi(2,-inf)); auto nf=f; bool debug=0; auto push=[&](int msk1,int w,int type,int pass=0){ rep(msk,1<<3){ int now=sum[msk]; // print(now); if(w>=now){ int new_msk=msk|msk1; int nw=w-now; if(type==1) nw=0; // if(debug) print(new_msk,nw,pass,type); nf[new_msk][type]=max(nf[new_msk][type],nw); if(type==0){ nf[new_msk][type]=max(nf[new_msk][type],pass); } } } debug=0; }; int lst=n; rep(i,n){ int v=ord[i]; rep(msk,1<<3){ rep(t,2){ f[msk][t]=-inf; nf[msk][t]=-inf; } } f[0][0]=0; for(auto [w,u]:adj[v]){ if(u==par[v]) continue; nf=f; rep(msk,1<<3){ rep(msk1,1<<3){ if(dp[u][msk1]<0) continue; // don't merge and go up int new_msk=msk|msk1; if(f[msk][0]>=0){ nf[new_msk][0]=max({nf[new_msk][0],f[msk][0],dp[u][msk1]+w}); } // don't merge and don't go up: create new mask if(f[msk][0]>=0){ // if(v==0 and u==4 and msk==0 and msk1==0) debug=1; push(new_msk,dp[u][msk1]+w,0,f[msk][0]); // over all masks satisfied lets update nf } // merged and don't go up: create new mask if(f[msk][1]>=0){ push(new_msk,dp[u][msk1]+w,1); } // merged and don't go up: don't create anything if(f[msk][1]>=0){ nf[new_msk][1]=0; } // merge if(f[msk][0]>=0){ push(new_msk,f[msk][0]+dp[u][msk1]+w,1); } } } // if(v==0 and u==1) print(nf[0][0]); // if(v==0 and u==4) print(nf[2][0]); // if(v==1 and (nf[7][0] or nf[7][1])) print(u,"wtf"); f.swap(nf); } rep(msk,1<<3){ dp[v][msk]=max(f[msk][0],f[msk][1]); } if(dp[v][7]>=0){ lst=i+1; fnd=1; break; } } rep(i,lst){ int v=ord[i]; rep(msk,1<<3){ dp[v][msk]=-inf; } dp[v][0]=0; } }; auto debug=[&](){ rep(i,n){ cout<<"debugging for vertex : "<<i+1<<" {\n"; rep(msk,1<<3){ cout<<" msk = "<<msk<<" "<<dp[i][msk]<<"\n"; } cout<<"} \n"; cout<<"~ ~ ~\n"; } }; rep(iter,q){ rep(j,3){ cin>>a[j]; } sum=vi(1<<3); rep(msk,1<<3){ rep(j,3){ if(msk>>j&1){ // print(a[j]); sum[msk]+=a[j]; } } } // gap(); fnd=0; work(); // debug(); if(fnd){ yare; }else{ nare; } } } signed main(){ ios::sync_with_stdio(0),cin.tie(0); int t; t=1; // cin>>t; rep(cs,t){ slv(); } } |
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