This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
#define MAX 115
int getDistance(int i, int j);
int hubDistance(int N, int sub);
typedef std::pair<int,int> pii;
std::map<pii,int> memoria;
int count=0;
int smartgetDistance(int a, int b){
if(a>b)std::swap(a,b);
if(a==b)return 0;
if(memoria.find({a,b})!=memoria.end())return memoria[{a,b}];
int d = getDistance(a,b);
memoria[{a,b}]=d;
++count;
return d;
}
int dist[MAX][2];
pii MaisDistante(int N,int x,int p){
int best=-1,alvo=0;
for(int i=0;i!=N;++i){
if(i==x)continue;
int d = smartgetDistance(i,x);
if(d>best){
best=d;
alvo=i;
}
dist[i][p]=d;
}
return {best,alvo};
}
int dist_centro[MAX];
///Queries usadas: 3N-3
int hubDistance(int N, int sub) {
memoria.clear();
pii alpha = MaisDistante(N,0,1);
pii beta = MaisDistante(N,alpha.second,0);
MaisDistante(N,beta.second,1);
int d = beta.first;
int ans=1e9;
int eixo;
int exp_a=0,exp_b=0;
for(int i=0;i!=N;++i){
if(i==alpha.second||i==beta.second)continue;
int a = dist[i][0];
int b = dist[i][1];
int soma = a+b;
int subt = soma-d;
int base = subt/2;
int custo = std::max(a,b)-base;
dist_centro[i]=base;
if(custo<ans){///Fora da sub de A ou B
eixo=i;
ans=custo;
exp_a = a-base;
exp_b = b-base;
}
}
std::vector<int> fora;
int grupos[2]={1,1};
for(int i=0;i!=N;++i){
if(i==alpha.second||i==beta.second)continue;
int a = dist[i][0];
int b = dist[i][1];
int soma = a+b;
int subt = soma-d;
int base = subt/2;
int custo = std::max(a,b)-base;
int dist_a = a-base;
int dist_b = b-base;
if(dist_a == exp_a && dist_b == exp_b){///Fora da sub de A ou B
fora.push_back(i);
}else {///Na subarvore de A ou B
if(a>b)grupos[0]++;else grupos[1]++;
}
}
int lim=N/2;
if(grupos[0]>lim||grupos[1]>lim)return -ans;
///Para a sub 4
if(sub==4||sub<=2){
int sum = N-(grupos[0]+grupos[1]);
if(sum>lim)return -ans;
return ans;
}
assert(sub==3);
assert(fora.size()==(N-(grupos[0]+grupos[1])));
std::vector<pii> opcoes;
for(auto&x:fora){
bool ok=false;
for(int i=0;i!=opcoes.size();++i){
int p = opcoes[i].first;
if(smartgetDistance(p,x)<(dist_centro[x]+dist_centro[p])){
++opcoes[i].second;
assert(count<=((N*(N-1))/2));
if(opcoes[i].second>lim)return -ans;
assert(!ok);
ok=true;
}
}
if(!ok)
opcoes.push_back({x,1});
safe:{}
}
assert(count<=((N*(N-1))/2));
return ans;
}
Compilation message (stderr)
towns.cpp: In function 'int hubDistance(int, int)':
towns.cpp:68:13: warning: unused variable 'custo' [-Wunused-variable]
68 | int custo = std::max(a,b)-base;
| ^~~~~
In file included from /usr/include/c++/10/cassert:44,
from /usr/include/x86_64-linux-gnu/c++/10/bits/stdc++.h:33,
from towns.cpp:1:
towns.cpp:86:20: warning: comparison of integer expressions of different signedness: 'std::vector<int>::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
86 | assert(fora.size()==(N-(grupos[0]+grupos[1])));
| ~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~
towns.cpp:90:22: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
90 | for(int i=0;i!=opcoes.size();++i){
| ~^~~~~~~~~~~~~~~
towns.cpp:41:6: warning: variable 'eixo' set but not used [-Wunused-but-set-variable]
41 | int eixo;
| ^~~~
towns.cpp:102:9: warning: label 'safe' defined but not used [-Wunused-label]
102 | safe:{}
| ^~~~
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