# | Time | Username | Problem | Language | Result | Execution time | Memory |
---|---|---|---|---|---|---|---|
1072424 | Zicrus | 도시들 (IOI15_towns) | C++17 | 19 ms | 1112 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 <bits/stdc++.h>
#include "towns.h"
using namespace std;
typedef long long ll;
unordered_map<ll, int> cache;
int getDist(int a, int b) {
if (a == b) return 0;
if (a < b) swap(a, b);
ll hash = ((ll)a << 31) | b;
if (cache.count(hash)) return cache[hash];
return cache[hash] = getDistance(a, b);
}
int hubDistance(int n, int sub) {
cache.clear();
ll a = 0, b = 0;
ll mxDist = 0;
for (int i = 1; i < n; i++) {
ll val = getDist(0, i);
if (val > mxDist) {
mxDist = val;
a = i;
}
}
mxDist = 0;
for (int i = 0; i < n; i++) {
ll val = getDist(a, i);
if (val > mxDist) {
mxDist = val;
b = i;
}
}
ll res = 1ll << 62ll;
for (int i = 0; i < n; i++) {
if (i == a || i == b) continue;
ll distA = getDist(i, a);
ll distB = getDist(i, b);
ll nw = (distA + distB - mxDist) / 2;
distA -= nw;
distB -= nw;
ll val = max(distA, distB);
res = min(res, val);
}
vector<int> deg(mxDist+1);
deg.front() = deg.back() = 1;
for (int i = 0; i < n; i++) {
if (i == a || i == b) continue;
ll distA = getDist(i, a);
ll distB = getDist(i, b);
ll nw = (distA + distB - mxDist) / 2;
distA -= nw;
deg[distA]++;
}
unordered_set<ll> hubs;
for (int i = 0; i < n; i++) {
int d = max(i, (int)mxDist-i);
if (d == res) hubs.insert(i);
}
ll sum = 0;
for (int i = 0; i <= mxDist; i++) {
if (sum > n/2 && hubs.count(i)) hubs.erase(i);
sum += deg[i];
}
sum = 0;
for (int i = mxDist; i >= 0; i--) {
if (sum > n/2 && hubs.count(i)) hubs.erase(i);
sum += deg[i];
}
return hubs.empty() ? -res : res;
}
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