[InterviewBit] Points on the Straight Line

Points on the Straight Line

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int Solution::maxPoints(vector<int> &A, vector<int> &B) {
if(A.size() == 0) return 0;
map<pair<int,int>, int> freq;
vector<pair<pair<int,int>,int>> AA;
for(int i = 0; i < A.size(); i++) freq[{A[i],B[i]}]++;
for(auto [k,v] : freq) AA.push_back({k,v});
if(AA.size() == 1) return A.size();

unordered_map<string, unordered_set<int>> mp;
for(int i = 0; i < AA.size(); i++) {
for(int j = i+1; j < AA.size(); j++) {
auto [y1,x1] = AA[i].first;
auto [y2,x2] = AA[j].first;
string key = "";
if(y1 == y2) {
key = "0#1#" + to_string(y1);
} else if(x1 == x2) {
key = "1#0#" + to_string(x1);
} else {
int yy = y2 - y1, xx = x2 - x1;
int g = __gcd(yy,xx);
yy /= g, xx /= g;
if(xx < 0) {
xx *= -1;
yy *= -1;
}
int cc = y1 * xx - x1 * yy;
key = to_string(xx) + "#" + to_string(yy) + "#" + to_string(cc);
}
mp[key].insert(i);
mp[key].insert(j);
}
}
int res = 0;
for(auto [_, us] : mp) {
int now = 0;
for(auto u : us) now += AA[u].second;
res = max(res,now);
}
return res;
}

Author: Song Hayoung
Link: https://songhayoung.github.io/2022/09/24/PS/interviewbit/points-on-the-straight-line/
Copyright Notice: All articles in this blog are licensed under CC BY-NC-SA 4.0 unless stating additionally.