[Hacker Rank] Gridland Metro

Gridland Metro

  • Time : O(klogk)
  • Space : O(k)
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map<int, int>::iterator front(map<int, int>& mp, int f) {
if(mp.empty()) return mp.insert(make_pair(f,f)).first;
auto it = mp.upper_bound(f);
if(it == begin(mp)) {
return mp.insert(make_pair(f,f)).first;
}
--it;
if(it->second + 1 >= f) return it;
return mp.insert(make_pair(f,f)).first;
}

void merge(map<int, int>& mp, int f, int e) {
auto it = front(mp, f);
it->second = max(it->second, e);
while(next(it) != end(mp) and next(it)->first <= it->second + 1) {
it->second = max(it->second, next(it)->second);
mp.erase(next(it));
}
}

int query(map<int, int>& mp) {
int res = 0;
for(auto& [f, e] : mp)
res += e - f + 1;
return res;
}

long long gridlandMetro(long long n, long long m, int k, vector<vector<int>> track) {
long long res = n * m;
sort(begin(track), end(track));
int l = 0, r = 0;
while(r < k) {
map<int, int> interval;
while(r < k and track[r][0] == track[l][0]) {
merge(interval, track[r][1], track[r][2]);
r++;
}
res -= query(interval);
l = r;
}
return res;
}
Author: Song Hayoung
Link: https://songhayoung.github.io/2022/06/12/PS/HackerRank/gridland-metro/
Copyright Notice: All articles in this blog are licensed under CC BY-NC-SA 4.0 unless stating additionally.