# | Time | Username | Problem | Language | Result | Execution time | Memory |
---|---|---|---|---|---|---|---|
778739 | danikoynov | Towns (IOI15_towns) | C++14 | 16 ms | 900 KiB |
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 "towns.h"
#include <bits/stdc++.h>
using namespace std;
const int maxn = 120;
int dist[maxn];
int par[maxn], rnk[maxn], path[maxn];
int table[maxn][maxn];
int getLocalDistance(int v, int u)
{
if (table[v][u] != 0)
return table[v][u];
table[v][u] = table[u][v] = getDistance(v, u);
return table[v][u];
}
int find_leader(int v)
{
if (par[v] == v)
return v;
return (par[v] = find_leader(par[v]));
}
void unite(int v, int u)
{
v = find_leader(v);
u = find_leader(u);
if (v == u)
return;
par[u] = v;
rnk[v] += rnk[u];
}
int hubDistance(int N, int sub)
{
///cout << "hub " << N << " " << sub << endl;
for (int i = 0; i < N; i ++)
for (int j = 0; j < N; j ++)
table[i][j] = 0;
int v = 0, u = -1, best = 0;
for (int i = 1; i < N; i ++)
{
int d = getLocalDistance(i, 0);
if (u == -1 || d > best)
{
best = d;
u = i;
}
}
dist[0] = best;
for (int i = 1; i < N; i ++)
{
if (i != u)
{
int d = getLocalDistance(i, u);
dist[i] = d;
if (d > best)
{
best = d;
v = i;
}
}
}
if (sub == 4)
{
map < int, int > marked;
int ans = 1e9;
for (int i = 0; i < N; i ++)
{
if (i == v || i == u)
continue;
int df = getLocalDistance(v, i), tf = dist[i];
int diff = abs(df - tf);
int lf = (best - diff) / 2 + diff, rf = (best - diff) / 2;
if (df < tf)
swap(lf, rf);
marked[lf] ++;
ans = min(ans, (best - diff) / 2 + diff);
}
int from_left = 1;
for (auto it : marked)
{
int from_right = N - from_left - it.second;
if (max(it.first, best - it.first) == ans)
{
if (max(from_right, max(it.second, from_left)) <= N / 2)
return +ans;
}
from_left += it.second;
}
return -ans;
}
else
if (sub == 3)
{
map < int, vector < int > > marked;
int ans = 1e9;
for (int i = 0; i < N; i ++)
{
if (i == v || i == u)
continue;
int df = getLocalDistance(v, i), tf = dist[i];
path[i] = v;
int diff = abs(df - tf);
int lf = (best - diff) / 2 + diff, rf = (best - diff) / 2;
if (df < tf)
swap(lf, rf);
marked[lf].push_back(i);
ans = min(ans, (best - diff) / 2 + diff);
}
int from_left = 1;
for (auto it : marked)
{
///cout << it.first << " : " << ans << endl;
int from_right = N - from_left - it.second.size();
if (max(it.first, best - it.first) == ans)
{
if (from_left <= N / 2 && from_right <= N / 2)
{
vector < int > st = it.second;
for (int v : st)
{
par[v] = v;
rnk[v] = 1;
}
///cout << "HERE " << N << " " << st.size() << endl;
for (int v : st)
for (int u : st)
{
if (v >= u)
continue;
int part = (dist[v] + dist[u] - getLocalDistance(v, u)) / 2;
if (part != best - it.first)
unite(v, u);
}
bool tf = true;
for (int v : st)
{
if (rnk[find_leader(v)] > N / 2)
tf = false;
}
if (tf)
return ans;
}
}
from_left += it.second.size();
}
return -ans;
}
else
{
int ans = 1e9;
for (int i = 0; i < N; i ++)
{
if (i == v || i == u)
continue;
int df = getLocalDistance(v, i), tf = dist[i];
int diff = abs(df - tf);
ans = min(ans, (best - diff) / 2 + diff);
}
return ans;
}
}
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