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 "treasure.h"
#include <bits/stdc++.h>
using namespace std;
#define sz(x) (int)(x.size())
#define all(x) (x).begin(), (x).end()
#define rall(x) (x).rbegin(), (x).rend()
#define pb push_back
#define mp make_pair
#define fi first
#define se second
#define cmin(a, b) a = min(a, b)
#define cmax(a, b) a = max(a, b)
vector<int> encode(vector<pair<int, int>> a) { int n=sz(a);
vector<int> b;
vector<pair<int, int>> x, y;
for (int i=0; i<n; i++) {
b.push_back(a[i].fi), b.push_back(5e8+a[i].se);
x.pb({a[i].fi, i}), y.pb({a[i].se, i});
}
sort(all(x)), sort(all(y));
vector<int> emply(n);
for (int i=0; i<n; i++) emply[y[i].se]=i;
int cnt1=0, cnt2=0;
for (int i=0; i<n-1; i++) {
int act=emply[x[i].se], nxt=emply[x[i+1].se];
if (act<nxt) cnt1++;
else cnt2++;
}
vector<int> vec;
for (int i=0; i<n; i++) {
if (cnt1>=cnt2) vec.pb(emply[x[i].se]);
else vec.pb(n-emply[x[i].se]-1);
}
int cnt=0;
for (int i=0; i<n; i++) {
if (i==n-1 && cnt2>cnt1) cnt++;
int val=cnt*n+vec[i];
b.push_back(1e9+val);
if (i<n-1 && vec[i]>vec[i+1]) cnt++;
}
assert(b.back()<=2e9);
return b;
}
vector<pair<int, int>> decode(vector<int> a) {
int m=sz(a), n=sz(a)/3;
sort(all(a));
vector<int> x, y, empl, empl2;
for (int i=0; i<m; i++) {
if (i<n) x.pb(a[i]);
else if (i<2*n) y.pb(a[i]-5e8);
else empl.pb(a[i]-1e9);
}
vector<int> ansx, ansy;
int prec=0, precj=0, i=0;
bool rev=0;
for (auto u: empl) {
int j=u%n;
int div=u/n;
ansx.pb(x[i]), ansy.pb(j);
if (div-prec>1) rev=1;
if (i==n-1 && div==prec+1 && precj<=j) rev=1;
i++;
prec=u/n, precj=j;
}
sort(all(y));
vector<pair<int, int>> ans;
if (rev) for (auto &u: ansy) u=y[n-u-1];
else for (auto &u: ansy) u=y[u];
for (int i=0; i<n; i++) ans.pb({ansx[i], ansy[i]});
return ans;
}
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