#include <bits/stdc++.h>
#include "rail.h"
using namespace std;
void findLocation(int N, int o, int* x, int* t) {
int d[N] {}, byD[N - 1];
map<int, int> g;
t[0] = g[x[0] = o] = 1;
for(int v = 1; v < N; ++v) {
d[v] = getDistance(0, v);
byD[v-1] = v;
}
sort(byD, byD + N - 1, [&](const int &i, const int &j) {
return d[i] < d[j];
});
int c = byD[0], rD = c, lD = c, rC {}, lC {}, sp {0}, ext = d[c];
t[c] = g[x[c] = o + d[c]] = 2;
for(const int &v : byD) if(v != c) {
int z = getDistance(c, v);
if(z > (d[v] - (d[c] - ext))) {
int y = getDistance(rD, v);
int xU = (x[rD] + (o + d[v]) - y) / 2;
if((!(((x[rD] + (o + d[v]) - y)) & 1) && g[xU] == 2)) x[v] = x[rD] - y , t[v] = 1;
else x[rD = v] = o + d[v], t[v] = 2;
} else {
int y = getDistance(lC, v);
if(!lC) x[v] = x[c] - z, t[v] = 1;
else {
int xU = (y + x[lC] + (x[c] - z)) / 2;
if(!(((y + x[lC] + (x[c] - z))) & 1) && g[xU] == 1) x[v] = x[lC] + y, t[v] = 2;
else x[v] = x[c] - z, t[v] = 1;
}
}
if(t[v] < 2) {
if(x[v] > x[rC]) rC = v;
if(x[v] < x[lC]) lC = v;
if(x[sp] < x[v] && x[v] < x[c]) sp = v, ext = z;
} else if(x[v] < x[lD]) lD = v;
g[x[v]] = t[v];
}
}
