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#include "towns.h"
#include <bits/stdc++.h>
using namespace std;
int N;
const int nmax = 110;
int precalc[nmax][nmax];
int getdist(int l, int r) {
if(l == r)
return 0;
if(l > r)
swap(l, r);
if(precalc[l][r] == -1)
return precalc[l][r] = getDistance(l, r);
return precalc[l][r];
}
int getdist(int x, int l, int r) { // distanta de la x la lantul [L, R]
return (getdist(x, l) + getdist(x, r) - getdist(l, r)) / 2;
}
int d1c;
int D1 = 0, D2 = 0, root = 0;
bool islca(int x, int y) {
bool ok = getdist(D1, x) + getdist(D1, y) - d1c * 2 == getdist(x, y);
//if(!ok)
//cerr << "> " << x << ' ' << y << '\n';
return ok;
}
namespace DSU {
int dsu[nmax];
void init(int n) {
for(int i = 0; i <= n; i++)
dsu[i] = i;
}
int father(int x) { return (dsu[x] == x? x : father(dsu[x] = father(dsu[dsu[x]]))); }
void unite(int x, int y) {
x = father(x);
y = father(y);
dsu[y] = x;
}
bool check(int x, int y) {return father(x) == father(y); }
};
int divide(vector<int> v) {
if(v.size() == 0)
return -1;
if(v.size() == 1)
return v[0];
int safe = -1;
if(v.size() % 2 == 1)
safe = v.back(), v.pop_back();
vector<int> nova;
for(int i = 0; i < v.size(); i += 2)
if(!islca(v[i], v[i + 1]))
nova.push_back(v[i]), DSU::unite(v[i], v[i + 1]);
int their = divide(nova);
if(their == -1)
return safe;
return their;
}
int check(int cand, vector<int> v) {
int cnt = 0;
for(auto x : v)
if(!islca(cand, DSU::father(x)))
cnt++;
if(cnt > N /2)
return -1;
return 1;
}
int divine(vector<int> v) {
//for(auto x : v)
//cerr << x << ' ';
//cerr << '\n';
int cand = divide(v);
if(cand == -1)
return -1;
else
return check(cand, v);
}
int hubDistance(int sussussus, int susb) {
N = sussussus;
DSU::init(N);
for(int i = 0; i < N; i++)
for(int j = 0; j < N; j++)
precalc[i][j] = -1;
// root random?
for(int i = 1; i < N; i++) {
if(getdist(root, i) > getdist(root, D1))
D1 = i;
//cerr << i << '\t' << getdist(root, i) << ' ' << getdist(root, D1)<< '\n';
}
//cerr << D1 << '\n';
D2 = D1;
for(int i = 0; i < N; i++) {
if(getdist(i, D1) > getdist(D2, D1))
D2 = i;
}
// D1, 0 o sa fie un lant aproximativ diametral, macar trece centrul
vector<int> pdist;
for(int i = 0; i < N; i++) {
pdist.push_back(getdist(D1, root, i));
}
sort(pdist.begin(), pdist.end());
pdist.resize(distance(pdist.begin(), unique(pdist.begin(), pdist.end())));
vector< vector<int> > cleaf;
int R = getdist(D1, D2), cnt = 0, mpoint = R;
for(auto x : pdist)
R = min(R, max(x, getdist(D1, D2) - x));
for(auto x : pdist)
if(max(x, getdist(D1, D2) - x) == R)
cnt++, mpoint = min(mpoint, x);
//cerr << x << '\n';
cleaf.resize(cnt);
//cerr << mpoint << '\n';
int lside = 1;
for(int i = 0; i < N; i++) {
if(i == D1 || i == D2)
continue;
int x = getdist(D1, root, i);
if(cnt == 2) {
//cerr << x << ' ' << i << "=> ";
if(x < mpoint)
lside++;
if(x == mpoint)
cleaf[0].push_back(i);
else
cleaf[1].push_back(i);
}
else if(x >= mpoint)
cleaf[0].push_back(i);
else
lside++;
}
//cerr << cnt << ' ' << lside << ' ' << R << ' ' << N / 2 << ' ' << getdist(D1, root) - getdist(root, D1, D2)<< '\n';
if(lside > N / 2)
return -R;
cleaf.back().push_back(D2);
if(cleaf.size() == 2) {
cleaf[0].push_back(D1);
//cerr <<"> "<< cleaf[0].size() << ' ' << cleaf[1].size() << ' ' << D1 << ' ' << D2 << '\n';
//for(auto x : cleaf[0])
//cerr << x << ' ';
//cerr << '\n';
//for(auto x : cleaf[1])
//cerr << x << ' ';
//cerr << '\n';
if(cleaf[0].size() < cleaf[1].size())
swap(cleaf[0], cleaf[1]);
//swap()
}
sort(cleaf[0].begin(), cleaf[0].end());
d1c = getdist(D1, D2) - getdist(D2, cleaf[0][0] , D1);
return divine(cleaf[0]) * R;
}
컴파일 시 표준 에러 (stderr) 메시지
towns.cpp: In function 'int divide(std::vector<int>)':
towns.cpp:53:20: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
53 | for(int i = 0; i < v.size(); i += 2)
| ~~^~~~~~~~~~
towns.cpp: In function 'int hubDistance(int, int)':
towns.cpp:81:36: warning: unused parameter 'susb' [-Wunused-parameter]
81 | int hubDistance(int sussussus, int susb) {
| ~~~~^~~~
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