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Submission #1021341

# Submission time Handle Problem Language Result Execution time Memory
1021341 2024-07-12T17:07:50 Z huutuan Sorting (IOI15_sorting) C++14
74 / 100
 1000 ms 122116 KB 
#include "sorting.h"

#include <bits/stdc++.h>

using namespace std;

struct DSU{
   int cnt;
   vector<int> lab;
   vector<pair<int*, int>> changes;
   void init(int n){
      cnt=0;
      lab.assign(n, -1);
   }
   int find_set(int u){
      return lab[u]<0?u:find_set(lab[u]);
   }
   void union_sets(int u, int v){
      u=find_set(u); v=find_set(v);
      if (u!=v){
         if (lab[u]>lab[v]) swap(u, v);
         changes.emplace_back(&lab[u], lab[u]);
         changes.emplace_back(&lab[v], lab[v]);
         lab[u]+=lab[v];
         lab[v]=u;
         changes.emplace_back(&cnt, cnt);
         ++cnt;
      }
   }
   void rollback(int size){
      while ((int)changes.size()>size){
         *changes.back().first=changes.back().second;
         changes.pop_back();
      }
   }
} dsu;

struct SegmentTree{
   int n;
   vector<vector<pair<int, int>>> t;
   void init(int _n){
      n=_n;
      t.assign(4*n+1, {});
   }
   void update(int k, int l, int r, int L, int R, int u, int v){
      if (r<L || R<l) return;
      if (L<=l && r<=R){
         t[k].emplace_back(u, v);
         return;
      }
      int mid=(l+r)>>1;
      update(k<<1, l, mid, L, R, u, v);
      update(k<<1|1, mid+1, r, L, R, u, v);
   }
   int dfs(int k, int l, int r){
      int size=dsu.changes.size();
      for (auto &i:t[k]) dsu.union_sets(i.first, i.second);
      int ans=-1;
      if (l==r){
         if (dsu.cnt<=l) ans=l;
      }else{
         int mid=(l+r)>>1;
         if (ans==-1) ans=dfs(k<<1, l, mid);
         if (ans==-1) ans=dfs(k<<1|1, mid+1, r);
      }
      dsu.rollback(size);
      return ans;
   }
} st;

int a[200010], s[200010], pos[200010], pa[200010];
int mp[200010];

int findSwapPairs(int N, int S[], int M, int X[], int Y[], int P[], int Q[]) {
   M=min(M, N+10);
   dsu.init(N);
   st.init(M+1);
   for (int i=0; i<N; ++i) s[i]=S[i], a[i]=i, mp[s[i]]=0, pa[i]=i;
   for (int i=0; i<M; ++i){
      if (X[i]!=Y[i]){
         int p1=pa[X[i]], p2=pa[Y[i]];
         st.update(1, 0, M, mp[s[p1]], i, s[p1], a[p1]);
         st.update(1, 0, M, mp[s[p2]], i, s[p2], a[p2]);
         swap(a[p1], a[p2]);
         pa[a[p1]]=p1;
         pa[a[p2]]=p2;
         mp[s[p1]]=i+1;
         mp[s[p2]]=i+1;
      }
   }
   for (int i=0; i<N; ++i) st.update(1, 0, M, mp[s[i]], M, s[i], a[i]);
   int ans=st.dfs(1, 0, M);
   if (ans==-1) return -1;
   for (int i=0; i<N; ++i) s[i]=S[i], a[i]=i, pos[s[i]]=i;
   for (int i=ans-1; i>=0; --i) swap(a[X[i]], a[Y[i]]);
   set<int> f;
   for (int i=0; i<N; ++i) if (a[i]!=s[i]) f.insert(i);
   for (int i=0; i<ans; ++i){
      P[i]=Q[i]=0;
      swap(a[X[i]], a[Y[i]]);
      swap(s[X[i]], s[Y[i]]);
      pos[s[X[i]]]=X[i];
      pos[s[Y[i]]]=Y[i];
      f.erase(X[i]); f.erase(Y[i]);
      if (a[X[i]]!=s[X[i]]) f.insert(X[i]);
      if (a[Y[i]]!=s[Y[i]]) f.insert(Y[i]);
      if (f.size()){
         int j=*f.begin(); f.erase(f.begin());
         int k=pos[a[j]];
         P[i]=j, Q[i]=k;
      }
      swap(s[P[i]], s[Q[i]]);
      pos[s[P[i]]]=P[i];
      pos[s[Q[i]]]=Q[i];
      f.erase(P[i]); f.erase(Q[i]);
      if (a[P[i]]!=s[P[i]]) f.insert(P[i]);
      if (a[Q[i]]!=s[Q[i]]) f.insert(Q[i]);
   }
   if (is_sorted(s, s+N)) return ans;
   return -1;
}

Compilation message

sorting.cpp: In member function 'int SegmentTree::dfs(int, int, int)':
sorting.cpp:56:32: warning: conversion from 'std::vector<std::pair<int*, int> >::size_type' {aka 'long unsigned int'} to 'int' may change value [-Wconversion]
   56 |       int size=dsu.changes.size();
      |                ~~~~~~~~~~~~~~~~^~

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 1 ms 344 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 604 KB Output is correct

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 1 ms 344 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 604 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 1 ms 344 KB Output is correct
10 Correct 1 ms 448 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 1 ms 348 KB Output is correct

Subtask #3
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct

Subtask #4
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 1 ms 344 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 604 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 1 ms 344 KB Output is correct
10 Correct 1 ms 448 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 1 ms 348 KB Output is correct
13 Correct 1 ms 348 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 1 ms 348 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
18 Correct 1 ms 348 KB Output is correct
19 Correct 0 ms 444 KB Output is correct
20 Correct 1 ms 344 KB Output is correct
21 Correct 2 ms 860 KB Output is correct
22 Correct 2 ms 660 KB Output is correct
23 Correct 2 ms 860 KB Output is correct
24 Correct 2 ms 856 KB Output is correct
25 Correct 2 ms 856 KB Output is correct
26 Correct 1 ms 828 KB Output is correct
27 Correct 2 ms 856 KB Output is correct

Subtask #5
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 1116 KB Output is correct
2 Correct 3 ms 1112 KB Output is correct
3 Correct 4 ms 1372 KB Output is correct
4 Correct 4 ms 1112 KB Output is correct
5 Correct 3 ms 1116 KB Output is correct
6 Correct 3 ms 1112 KB Output is correct
7 Correct 4 ms 1292 KB Output is correct
8 Correct 6 ms 1412 KB Output is correct
9 Correct 5 ms 1372 KB Output is correct
10 Correct 6 ms 1368 KB Output is correct
11 Correct 5 ms 1372 KB Output is correct
12 Correct 3 ms 1208 KB Output is correct
13 Correct 4 ms 1448 KB Output is correct
14 Correct 2 ms 788 KB Output is correct

Subtask #6
0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 1116 KB Output is correct
2 Correct 3 ms 1112 KB Output is correct
3 Correct 4 ms 1372 KB Output is correct
4 Correct 4 ms 1112 KB Output is correct
5 Correct 3 ms 1116 KB Output is correct
6 Correct 3 ms 1112 KB Output is correct
7 Correct 4 ms 1292 KB Output is correct
8 Correct 6 ms 1412 KB Output is correct
9 Correct 5 ms 1372 KB Output is correct
10 Correct 6 ms 1368 KB Output is correct
11 Correct 5 ms 1372 KB Output is correct
12 Correct 3 ms 1208 KB Output is correct
13 Correct 4 ms 1448 KB Output is correct
14 Correct 2 ms 788 KB Output is correct
15 Correct 373 ms 69736 KB Output is correct
16 Correct 621 ms 94240 KB Output is correct
17 Execution timed out 1052 ms 122116 KB Time limit exceeded
18 Halted 0 ms 0 KB -