Platform#12319

Platform (Çözgüdiň düşündirişi)

Problem Author:

Anna Yarosh (Anna_Yarosh)

Prepared by:

Andriy Kholod (Connect)

Analysis:

Andriy Kholod (Connect)

Solution

Since the train numbering from different sides is symmetrical with respect to the center, it is obvious that the most advantageous option will be when \frac{n+1}{2}. Then we only need to calculate the possible movement when \frac{n+1}{2}.

The asymptotic complexity of the solution is .

#include <bits/stdc++.h>

using namespace std;

#define ll long long
#define speed ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0)
#define endl '\n'

void solve() {

    ll n , m , k;

    cin>>n>>k;
    k = min(k, n - k + 1);

    ll mid = 0;

    if (n%2) mid = (n+1)/2;
    else mid = n/2 + 1;

    cout<<abs(k - mid)<<endl;

}  

signed main() {
    speed;
    int test;
    test = 1;

    //cin>>test;
    while (test--) solve();
    return 0;
}