oj.uz

Submission #422765

# Submission time Handle Problem Language Result Execution time Memory
422765 2021-06-10T11:58:43 Z fedoseevtimofey Gondola (IOI14_gondola) C++14
100 / 100
 79 ms 6336 KB 
#include <iostream>
#include <string>
#include <vector>
#include <queue>
#include <deque>
#include <stack>
#include <set>
#include <map>
#include <unordered_map>
#include <unordered_set>
#include <cstring>
#include <cmath>
#include <cstdlib>
#include <algorithm>
#include <random>
#include <iomanip>
#include <functional>
#include <cassert>
#include <bitset>
#include <chrono>
 
using namespace std;
 
typedef long long ll;

#include "gondola.h"

int valid(int n, int inputSeq[])
{
  if (n == 1) return true;
  vector <int> a(n);
  set <int> diff;
  bool big = true;
  for (int i = 0; i < n; ++i) {
    a[i] = inputSeq[i];
    big &= (a[i] > n);
    diff.insert(a[i]);
  }
  if ((int)diff.size() != n) return 0; 
  if (big) return true;
  vector <int> nums(n, -1);
  for (int i = 0; i < n; ++i) {
    if (a[i] <= n) {
      nums[i] = a[i] - 1;
    }
  }
  for (int it = 0; it < 2; ++it) {
    for (int i = 0; i < n; ++i) {
      if (nums[i] == -1) continue;
      int j = (i + 1) % n;
      if (nums[j] == -1) nums[j] = (nums[i] + 1) % n;
      if (nums[j] != (nums[i] + 1) % n) {
        return false;
      }
    }
  }
  return true;
}

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

int replacement(int n, int gondolaSeq[], int replacementSeq[])
{
  vector <int> a(n);
  for (int i = 0; i < n; ++i) {
    a[i] = gondolaSeq[i];
    --a[i];
  }
  vector <int> nums(n, -1);
  for (int i = 0; i < n; ++i) {
    if (a[i] < n) {
      nums[i] = a[i];
    }
  }
  for (int it = 0; it < 2; ++it) {
    for (int i = 0; i < n; ++i) {
      if (nums[i] == -1) continue;
      int j = (i + 1) % n;
      if (nums[j] == -1) nums[j] = (nums[i] + 1) % n;
      if (nums[j] != (nums[i] + 1) % n) {
        assert(false);
      }
    }
  }
  for (int i = 0; i < n; ++i) if (nums[i] == -1) nums[i] = i; 
  vector <int> p(n);
  iota(p.begin(), p.end(), 0);
  sort(p.begin(), p.end(), [&] (int i, int j) {
    return a[i] < a[j];
  });
  int x = n;
  int uk = 0;
  auto add = [&] (int x) {
    replacementSeq[uk++] = x + 1;
  };
  for (int i : p) {
    while (nums[i] != a[i]) {
      add(nums[i]);
      nums[i] = x++;
    }
  }
  return uk;
}     

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

const int md = 1e9 + 9;

int mul(int a, int b) {
  return ((ll)a * b) % md;
}

int power(int a, ll b) {
  int res = 1;
  while (b > 0) {
    if (b & 1) res = mul(res, a);
    a = mul(a, a);
    b >>= 1;
  }
  return res;
}

int countReplacement(int n, int inputSeq[])
{
  if (!valid(n, inputSeq)) return 0;
  vector <int> a(n);
  for (int i = 0; i < n; ++i) {
    a[i] = inputSeq[i];
    --a[i];
  }
  vector <int> nums(n, -1);
  for (int i = 0; i < n; ++i) {
    if (a[i] < n) {
      nums[i] = a[i];
    }
  }
  for (int it = 0; it < 2; ++it) {
    for (int i = 0; i < n; ++i) {
      if (nums[i] == -1) continue;
      int j = (i + 1) % n;
      if (nums[j] == -1) nums[j] = (nums[i] + 1) % n;
      if (nums[j] != (nums[i] + 1) % n) {
        assert(false);
      }
    }
  }
  vector <int> intr;
  for (int i = 0; i < n; ++i) {
    if (a[i] != nums[i]) {
      intr.push_back(a[i]);
    }
  }
  sort(intr.begin(), intr.end());
  int ans = 1;
  int lst = n;
  for (int i = 0; i < (int)intr.size(); ++i) {
    int cnt = intr[i] - lst;
    ans = mul(ans, power((int)intr.size() - i, cnt));
    lst = intr[i] + 1;
  }   
  if (nums[0] == -1) {
    ans = mul(ans, n);
  } 
  return ans;
}
 
#ifdef LOCAL
int gondolaSequence[100001];
int replacementSequence[250001];
int main() {
  ios_base::sync_with_stdio(false); cin.tie(0);
#ifdef LOCAL
  freopen("input.txt", "r", stdin);
#endif
  int i, n, tag;
  int nr; 
  cin >> tag;
  cin >> n;
  for(i=0;i< n;i++)
    cin >> gondolaSequence[i];
  
  switch (tag){
  case 1: case 2: case 3:
    cout << valid(n, gondolaSequence) << '\n';
    break;

  case 4: case 5: case 6:
    nr = replacement(n, gondolaSequence, replacementSequence);
    cout << nr << '\n';
    if (nr > 0)
      {
	for (i=0; i<nr-1; i++)
	  cout << replacementSequence[i] << " ";
  cout << replacementSequence[nr-1] << "\n";
      }  
    else printf("\n");
    break;

  case 7: case 8: case 9: case 10:
    cout << countReplacement(n, gondolaSequence) << '\n';
    break;
  }

  return 0;
}
#endif

Subtask #1
5.0 / 5.0

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

Subtask #2
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 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 1 ms 204 KB Output is correct
6 Correct 13 ms 2508 KB Output is correct
7 Correct 30 ms 3964 KB Output is correct
8 Correct 27 ms 4356 KB Output is correct
9 Correct 8 ms 1612 KB Output is correct
10 Correct 32 ms 5196 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 1 ms 204 KB Output is correct
6 Correct 13 ms 2412 KB Output is correct
7 Correct 31 ms 3916 KB Output is correct
8 Correct 27 ms 4464 KB Output is correct
9 Correct 9 ms 1636 KB Output is correct
10 Correct 31 ms 5060 KB Output is correct
11 Correct 0 ms 204 KB Output is correct
12 Correct 0 ms 204 KB Output is correct
13 Correct 14 ms 2252 KB Output is correct
14 Correct 1 ms 204 KB Output is correct
15 Correct 38 ms 5312 KB Output is correct

Subtask #4
5.0 / 5.0

# 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 1 ms 204 KB Output is correct
5 Correct 1 ms 204 KB Output is correct

Subtask #5
10.0 / 10.0

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

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 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 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 15 ms 1484 KB Output is correct
12 Correct 18 ms 1592 KB Output is correct
13 Correct 18 ms 1100 KB Output is correct
14 Correct 14 ms 1484 KB Output is correct
15 Correct 23 ms 2172 KB Output is correct

Subtask #7
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

Subtask #8
15.0 / 15.0

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

Subtask #9
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 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 1 ms 204 KB Output is correct
6 Correct 1 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 50 ms 4584 KB Output is correct
10 Correct 36 ms 3832 KB Output is correct
11 Correct 12 ms 1484 KB Output is correct
12 Correct 16 ms 1900 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 0 ms 204 KB Output is correct
2 Correct 1 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 1 ms 204 KB Output is correct
6 Correct 1 ms 204 KB Output is correct
7 Correct 1 ms 204 KB Output is correct
8 Correct 1 ms 204 KB Output is correct
9 Correct 49 ms 4600 KB Output is correct
10 Correct 42 ms 3796 KB Output is correct
11 Correct 13 ms 1584 KB Output is correct
12 Correct 16 ms 1868 KB Output is correct
13 Correct 5 ms 592 KB Output is correct
14 Correct 61 ms 5632 KB Output is correct
15 Correct 79 ms 6336 KB Output is correct
16 Correct 9 ms 1428 KB Output is correct
17 Correct 50 ms 4384 KB Output is correct
18 Correct 27 ms 2532 KB Output is correct