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Submission #518639

# Submission time Handle Problem Language Result Execution time Memory
518639 2022-01-24T10:39:45 Z amukkalir Gondola (IOI14_gondola) C++17
100 / 100
 54 ms 5896 KB 
#include "gondola.h"
#include <bits/stdc++.h>
using namespace std; 
typedef long long ll; 
#define pii pair<int,int> 
#define fi first 
#define se second 
#define pb push_back

int valid(int n, int inputSeq[])
{
  int s = -1; 
  set<int> ud; 
 
  for(int i=0; i<n; i++) {
    if(inputSeq[i] <= n) {
      s = i; 
    }
    if(ud.count(inputSeq[i])) {
     // cout << " :: " << inputSeq[i] << endl; 
      return 0; 
    }
   // cout << "ud[" << inputSeq[i] << "] = 1\n"; 
    ud.insert(inputSeq[i]);
  }
 
  
  if(s != -1) {
    int val = inputSeq[s]-1; 
    s--; 
    for(int i=0; i<n; i++) {
      s = (s+1)%n; 
      val = ((val) % n) + 1; 
      //cerr << inputSeq[s] << " " << val << endl; 
      if(inputSeq[s] <= n && inputSeq[s] != val) return 0; 
    }
  } 
 
  return 1; 
}

//----------------------

int replacement(int n, int gondolaSeq[], int replacementSeq[])
{
  int l = 0; 
  vector<pair<int,int>> gseq;
  vector<int> rseq; 

  for(int i=0; i<n; i++) {
    gseq.push_back({gondolaSeq[i], i}); 
  }

  gseq.pb({n, n}); 
  sort(gseq.begin(), gseq.end(), greater<pii>()); 
  
  int t = 0; 
  for(int i = 0; i<n && gseq[i].fi > n; i++) {
    //cout << i << " " << gseq[i].fi << endl; 
    t = gseq[i].fi - gseq[i+1].fi; 
    while(t--) rseq.pb(gseq[i].se); 
  }

  int s = 0; 
  for(int i = 0; i<n; i++) {
    if(gondolaSeq[i] <= n) {
      s = gondolaSeq[i] - i - 1; 
      break; 
    }
  }

  l = rseq.size(); 
  reverse(rseq.begin(), rseq.end()); 
  // for(int i=0; i<l; i++) {
  //   rseq[i] = ((rseq[i] + s + n) % n) + 1; 
  //   //cerr << replacementSeq[i] << " "; 
  // }

  for(int i=0; i<n; i++) {
    gondolaSeq[i] = ((i+s) % n) + 1; 
    //cout << i << " " << gondolaSeq[i] << endl; 
  }

  int cur = n+1; 
  for(int i=0; i<l; i++) {
    replacementSeq[i] = gondolaSeq[rseq[i]]; 
    gondolaSeq[rseq[i]] = cur++; 
  }
  
  //cerr << "\n";

  return l; 
}

//----------------------
const int m = 1e9+9; 

ll mul (ll a, ll b) {
  a %= m; 
  b %= m;
  return (a*b) % m; 
}

ll binpow(ll a, ll b) {
  ll ret = 1; 
  while(b) {
    if(b&1) ret = mul(a, ret); 
    a = mul(a, a); 
    b >>= 1; 
  }
  return ret; 
}

int countReplacement(int n, int inputSeq[])
{
  if(!valid(n, inputSeq)) return 0; 
  int maxi = 0; 
  int mini = INT_MAX; 
  vector<pii> v; 

  for(int i=0; i<n; i++) {
    v.push_back({inputSeq[i], i}); 
    maxi = max(maxi, inputSeq[i]); 
    mini = min(mini, inputSeq[i]); 
  }

  if(maxi == n) return 1; 
  
  ll ans = 1; 
  int ls = n;
  ll rem = n;  
  sort(v.begin(), v.end()); 
  for(int i=0; i<v.size(); i++) {
    if(v[i].fi > n) {
      ans = mul(ans, binpow(rem, v[i].fi - ls - 1)); 
      ls = v[i].fi; 
    }

    rem--; 
//    cout << i << " " << ans << endl; 
  }
  
  if(mini > n) ans = mul(ans, n); 

  return ans;
}

/*
replacement seq is a permutation of maxi - n numbers 
there are 2 cases : 
all of them is greater than n 
  

at least one of them <= n

*/

Compilation message

gondola.cpp: In function 'int countReplacement(int, int*)':
gondola.cpp:133:17: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  133 |   for(int i=0; i<v.size(); i++) {
      |                ~^~~~~~~~~

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 204 KB Output is correct
2 Correct 0 ms 204 KB Output is correct
3 Correct 0 ms 204 KB Output is correct
4 Correct 0 ms 204 KB Output is correct
5 Correct 0 ms 204 KB Output is correct

Subtask #2
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 204 KB Output is correct
2 Correct 0 ms 204 KB Output is correct
3 Correct 0 ms 204 KB Output is correct
4 Correct 0 ms 204 KB Output is correct
5 Correct 0 ms 204 KB Output is correct
6 Correct 13 ms 2180 KB Output is correct
7 Correct 7 ms 588 KB Output is correct
8 Correct 21 ms 3916 KB Output is correct
9 Correct 7 ms 1356 KB Output is correct
10 Correct 30 ms 4420 KB Output is correct

Subtask #3
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 204 KB Output is correct
2 Correct 0 ms 204 KB Output is correct
3 Correct 0 ms 204 KB Output is correct
4 Correct 1 ms 204 KB Output is correct
5 Correct 0 ms 204 KB Output is correct
6 Correct 14 ms 2216 KB Output is correct
7 Correct 11 ms 588 KB Output is correct
8 Correct 21 ms 3908 KB Output is correct
9 Correct 7 ms 1356 KB Output is correct
10 Correct 29 ms 4404 KB Output is correct
11 Correct 0 ms 204 KB Output is correct
12 Correct 0 ms 204 KB Output is correct
13 Correct 13 ms 1996 KB Output is correct
14 Correct 0 ms 204 KB Output is correct
15 Correct 33 ms 4588 KB Output is correct

Subtask #4
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 204 KB Output is correct
2 Correct 0 ms 204 KB Output is correct
3 Correct 0 ms 204 KB Output is correct
4 Correct 0 ms 204 KB Output is correct
5 Correct 0 ms 204 KB Output is correct

Subtask #5
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 204 KB Output is correct
2 Correct 0 ms 204 KB Output is correct
3 Correct 0 ms 204 KB Output is correct
4 Correct 0 ms 204 KB Output is correct
5 Correct 0 ms 204 KB Output is correct
6 Correct 0 ms 204 KB Output is correct
7 Correct 0 ms 204 KB Output is correct
8 Correct 1 ms 332 KB Output is correct
9 Correct 1 ms 332 KB Output is correct
10 Correct 1 ms 332 KB Output is correct

Subtask #6
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 204 KB Output is correct
2 Correct 0 ms 204 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 0 ms 204 KB Output is correct
5 Correct 0 ms 204 KB Output is correct
6 Correct 0 ms 204 KB Output is correct
7 Correct 1 ms 204 KB Output is correct
8 Correct 1 ms 332 KB Output is correct
9 Correct 1 ms 332 KB Output is correct
10 Correct 1 ms 332 KB Output is correct
11 Correct 10 ms 1732 KB Output is correct
12 Correct 12 ms 1732 KB Output is correct
13 Correct 12 ms 1476 KB Output is correct
14 Correct 11 ms 1760 KB Output is correct
15 Correct 21 ms 2208 KB Output is correct

Subtask #7
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 208 KB Output is correct
2 Correct 0 ms 208 KB Output is correct
3 Correct 0 ms 208 KB Output is correct

Subtask #8
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 208 KB Output is correct
2 Correct 0 ms 208 KB Output is correct
3 Correct 0 ms 208 KB Output is correct
4 Correct 0 ms 208 KB Output is correct
5 Correct 0 ms 208 KB Output is correct
6 Correct 0 ms 208 KB Output is correct
7 Correct 1 ms 208 KB Output is correct
8 Correct 0 ms 208 KB Output is correct

Subtask #9
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 208 KB Output is correct
2 Correct 1 ms 256 KB Output is correct
3 Correct 0 ms 208 KB Output is correct
4 Correct 0 ms 208 KB Output is correct
5 Correct 1 ms 208 KB Output is correct
6 Correct 0 ms 208 KB Output is correct
7 Correct 0 ms 208 KB Output is correct
8 Correct 1 ms 208 KB Output is correct
9 Correct 37 ms 3916 KB Output is correct
10 Correct 30 ms 3276 KB Output is correct
11 Correct 10 ms 1356 KB Output is correct
12 Correct 13 ms 1612 KB Output is correct
13 Correct 3 ms 588 KB Output is correct

Subtask #10
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 0 ms 204 KB Output is correct
3 Correct 0 ms 204 KB Output is correct
4 Correct 0 ms 204 KB Output is correct
5 Correct 1 ms 204 KB Output is correct
6 Correct 0 ms 204 KB Output is correct
7 Correct 0 ms 204 KB Output is correct
8 Correct 0 ms 204 KB Output is correct
9 Correct 38 ms 3940 KB Output is correct
10 Correct 30 ms 3276 KB Output is correct
11 Correct 10 ms 1356 KB Output is correct
12 Correct 13 ms 1684 KB Output is correct
13 Correct 3 ms 588 KB Output is correct
14 Correct 45 ms 5284 KB Output is correct
15 Correct 54 ms 5896 KB Output is correct
16 Correct 8 ms 1240 KB Output is correct
17 Correct 33 ms 4036 KB Output is correct
18 Correct 17 ms 2740 KB Output is correct