Traffic Lights
Key Idea: Maintain a multiset of light positions and a parallel multiset of gap lengths, updating both as each new light is added.
Solution
#include <bits/stdc++.h>
using namespace std;
//author: von_Braun
#define ll long long
#define lli long long int
#define pb push_back
#define rep(var, start, num) for(ll var = start; var <start + num; var++)
#define all(x) x.begin(), x.end()
#define ulli unsigned long long int
#define ull unsigned long long
bool sortbysec(const pair<ll,ll> &a,const pair<ll,ll> &b) { return (a.second < b.second); }
void solve() {
ll n,m,k;
cin>>n>>m;
vector<ll> a(m);
rep(i,0,m) {cin>>a[i];}
multiset<ll> tlights;
tlights.insert(0);
tlights.insert(n);
multiset<ll> dists;
dists.insert(n);
rep(i,0,m) {
k= a[i];
auto it1 = tlights.upper_bound(k);
auto it2 = tlights.upper_bound(k);
it2--;
dists.erase(dists.find(*it1 - *it2));
tlights.insert(k);
dists.insert(*it1 - k); dists.insert(k - *it2);
auto bruh = dists.end();
bruh--;
cout<<*bruh<<" ";
}
}
int main() {
//add quotes incase input output file
//freopen(input.txt,r,stdin);
//freopen(output.txt,w,stdout);
ios_base::sync_with_stdio(0);
cin.tie(0); cout.tie(0);
int tc = 1;
// cin >> tc;
for (int t = 1; t <= tc; t++) {
solve();
}
}