제출 #873557

#제출 시각아이디문제언어결과실행 시간메모리
873557LibRoller Coaster Railroad (IOI16_railroad)C++14
0 / 100
2087 ms10780 KiB
#include <bits/stdc++.h> #include "railroad.h" using namespace std; int n; vector <pair <int,int> > EnterSpeed; vector <pair <int,int> > ExitSpeed; long long plan_roller_coaster (vector <int> s, vector <int> t){ n=s.size(); EnterSpeed.clear(); ExitSpeed.clear(); /* Subtask 1 and 2 is trival and basically not worth spending time for, so I'll skip it Of course, there exists a better solution to subtask 3 that is actually relevant to the full solution, but 30 points is 30 points, especially if that's from a shitty greedy solution */ /* If a finished track could be created without adding in any additional segments, this is the equivalent of: for all but 1 segment, there has to be a track segment that follows it. => Just greedily assign exit speeds with corresponding entrance speeds that isn't from the same segment, if n-1 pairs (or more) could be formed, there exists an answer. Simple as that. */ for(int i=0;i<n;i++){ EnterSpeed.push_back({s[i],i}); ExitSpeed.push_back({t[i],i}); } sort(EnterSpeed.begin(),EnterSpeed.end(),greater<pair <int,int> >()); sort(ExitSpeed.begin(),ExitSpeed.end(),greater<pair <int,int> >()); int ValidPairs=0; pair <int,int> temp; //Assigning track endpoints with new tracks while(!EnterSpeed.empty()&&!ExitSpeed.empty()){ //Trying to match with the startpoint that isn't in the same track, and has the smallest entrance speed possible while(!EnterSpeed.empty()&&ExitSpeed.back().first>EnterSpeed.back().first){ EnterSpeed.pop_back(); } //It matches and doesn't belong to the same sector. Is valid, so increase the amount of matched pairs by 1 if(!EnterSpeed.empty()&&ExitSpeed.back().second!=EnterSpeed.back().second){ ValidPairs++; EnterSpeed.pop_back(); ExitSpeed.pop_back(); }else if(EnterSpeed.size()>1){ //It matches, but both of this startpoint and endpoint belongs in the same segment. Match it with the //next smallest unmatched entrance speed temp=EnterSpeed.back(); EnterSpeed.pop_back(); EnterSpeed.pop_back(); ExitSpeed.pop_back(); ValidPairs++; EnterSpeed.push_back(temp); } } //If at least N-1 pairs could be matched, there exists 1 valid rollercoaster using only the default tracks. Otherwise, no return (ValidPairs<n-1); }
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