This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include "rail.h"
#include <bits/stdc++.h>
using namespace std;
#define ll long long
#define ff first
#define ss second
#define all(a) (a).begin(), (a).end()
template<typename T>
int len(T &a){
return a.size();
}
const int maxn = 5e3;
const int inf = 1e9;
int memo[maxn][maxn];
int get(int i, int j){
if(i == j) return 0;
if(memo[i][j] != -1){
return memo[i][j];
}
return memo[i][j] = memo[j][i] = getDistance(i, j);
}
void findLocation(int n, int first, int location[], int stype[])
{
for(int i = 0; i < n; i ++){
location[i] = -1;
for(int j = 0; j < n; j ++){
memo[i][j] = -1;
}
}
location[0] = first;
stype[0] = 1;
if(n == 1){
return;
}
vector<int> ord(n - 1);
iota(all(ord), 1);
sort(all(ord), [&](int i, int j){
return get(0, i) < get(0, j);
});
int lef = 0, rig = ord[0];
location[rig] = get(0, rig) + first;
stype[rig] = 2;
set<int> cs = {location[lef]}, ds = {location[rig]};
auto dis = [&](pair<int,int> a, pair<int,int> b)->int{
if(a.ff == b.ff) return 0;
if(a.ff > b.ff) swap(a, b);
if(a.ss == 1 && b.ss == 2){
return b.ff - a.ff;
}
if(a.ss == 1 && b.ss == 1){
auto it = ds.lower_bound(b.ff);
if(it == ds.end()){
return inf;
}
return *it - a.ff + *it - b.ff;
}
if(a.ss == 2 && b.ss == 2){
auto it = cs.upper_bound(a.ff);
if(it == cs.begin()){
return inf;
}
-- it;
return a.ff - *it + b.ff - *it;
}
auto l = cs.upper_bound(a.ff);
auto r = ds.lower_bound(b.ff);
if(l == cs.begin() || r == ds.end()) return inf;
-- l;
return a.ff - *l + *r - *l + *r - b.ff;
};
for(auto _ = 1; _ < n; _ ++){
int i = ord[_];
//cout << i << ' ';
int x = -1, t = -1;
{
int pos = get(lef, i) + location[lef];
//cout << dis({pos, 2}, {location[lef], 1}) << endl;
if(dis({pos, 2}, {location[lef], 1}) == get(lef, i) && dis({pos, 2}, {first, 1}) == get(0, i) && dis({pos, 2}, {location[rig], 2}) == get(rig, i)){
x = pos;
t = 2;
}
}
{
int pos = location[rig] - get(rig, i);
if(dis({pos, 1}, {location[rig], 2}) == get(rig, i) && dis({pos, 1}, {first, 1}) == get(0, i) && dis({pos, 2}, {location[lef], 1}) == get(lef, i)){
x = pos;
t = 1;
}
}
if(x == -1){
{
int pos = get(lef, i) + location[lef];
if(dis({pos, 2}, {location[lef], 1}) == get(lef, i) && dis({pos, 2}, {first, 1}) == get(0, i)){
x = pos;
t = 2;
}
}
{
int pos = location[rig] - get(rig, i);
if(dis({pos, 1}, {location[rig], 2}) == get(rig, i) && dis({pos, 1}, {first, 1}) == get(0, i)){
x = pos;
t = 1;
}
}
}
location[i] = x;
stype[i] = t;
if(stype[i] == 1){
if(location[lef] > location[i]){
lef = i;
}
cs.insert(location[i]);
}else{
if(location[rig] < location[i]){
rig = i;
}
ds.insert(location[i]);
}
//cout << x << endl;
}
}
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