# | Time | Username | Problem | Language | Result | Execution time | Memory |
---|---|---|---|---|---|---|---|
1088571 | Pacybwoah | Sorting (IOI15_sorting) | C++17 | 1 ms | 600 KiB |
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 "sorting.h"
#include<iostream>
#include<vector>
#include<algorithm>
#include<utility>
#include<cassert>
using namespace std;
namespace{
struct DSU{
vector<int> dsu, sz;
DSU(int n){
dsu.resize(n + 1);
sz.resize(n + 1);
for(int i = 0; i <= n; i++) dsu[i] = i, sz[i] = 1;
}
int query(int x){
if(x == dsu[x]) return x;
dsu[x] = query(dsu[x]);
return dsu[x];
}
void unite(int a, int b){
a = query(a);
b = query(b);
if(a == b) return;
if(sz[a] < sz[b]) swap(a, b);
dsu[b] = a;
sz[a] += sz[b];
}
};
}
int findSwapPairs(int N, int S[], int M, int X[], int Y[], int P[], int Q[]) {
int n = N;
vector<int> pos(n);
for(int i = 0; i < n; i++) pos[S[i]] = i;
int l = 0, r = M;
while(l < r){
int mid = (l + r) >> 1;
DSU dsu(n);
vector<int> vec(n);
for(int i = 0; i < n; i++) vec[i] = S[i];
for(int i = 0; i < mid; i++) swap(vec[X[i]], vec[Y[i]]);
for(int i = 0; i < n; i++) dsu.unite(vec[i], i);
vector<bool> vis(n);
int cc = 0;
for(int i = 0; i < n; i++){
if(!vis[dsu.query(i)]){
vis[dsu.query(i)] = 1;
cc++;
}
}
if(n - cc <= mid) r = mid;
else l = mid + 1;
}
DSU dsu(n);
vector<int> vec(n);
for(int i = 0; i < n; i++) vec[i] = S[i], pos[S[i]] = i;
for(int i = 0; i < l; i++) swap(S[X[i]], S[Y[i]]);
for(int i = 0; i < n; i++) dsu.unite(i, S[i]);
vector<vector<int>> children(n);
for(int i = 0; i < n; i++) children[dsu.query(i)].push_back(i);
vector<int> todo;
for(int i = 0; i < n; i++){
int sz = children[i].size();
for(int j = 0; j < sz - 1; j++) todo.push_back(children[i][j]);
}
int tsz = todo.size();
for(int i = 0; i < l; i++){
if(i >= tsz){
P[i] = 0;
Q[i] = 0;
continue;
}
swap(vec[X[i]], vec[Y[i]]);
swap(pos[vec[X[i]]], pos[vec[Y[i]]]);
P[i] = pos[todo[i]];
Q[i] = pos[S[todo[i]]];
swap(vec[P[i]], vec[Q[i]]);
swap(pos[vec[P[i]]], pos[vec[Q[i]]]);
}
return l;
}
// g++ -std=c++17 -Wall -Wextra -fsanitize=undefined -fsanitize=address -Wshadow -o run sorting.cpp grader.cpp
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