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Submission #1088605

# Submission time Handle Problem Language Result Execution time Memory
1088605 2024-09-14T16:34:13 Z T0p_ Gondola (IOI14_gondola) C++14
100 / 100
 49 ms 5972 KB 
#include "gondola.h"
#include <bits/stdc++.h>

#define mod 1000000009

using namespace std;

int valid(int n, int inputSeq[]) {
  set<int> st;
  vector<pair<int, int>> v;

  for (int i=0 ; i<n ; i++) {
    if (inputSeq[i] <= n) {
      v.push_back({ inputSeq[i], i });
    }
    else {
      if (st.find(inputSeq[i]) != st.end()) {
        return 0;
      }

      st.insert(inputSeq[i]);
    }
  }

  sort(v.begin(), v.end());
  
  int sz_v = v.size();
  for (int i=0 ; i<sz_v-1 ; i++) {
    if (v[i].first == v[i+1].first) {
      return 0;
    }
    if ((v[i].second + v[i+1].first - v[i].first) % n != v[i+1].second) {
      return 0;
    }
  }

  return 1;
}

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

int replacement(int n, int gondolaSeq[], int replacementSeq[]) {
  int l = 0, start = -1;
  vector<pair<int, int>> v;

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

  if (start != -1) {
    int val = gondolaSeq[start] == n ? 1 : gondolaSeq[start] + 1;
    for (int i=start+1 ; i<n ; i++) {
      if (gondolaSeq[i] > n) {
        v.push_back({ val, gondolaSeq[i] });
      }

      val = val == n ? 1 : val + 1;
    }
    for (int i=0 ; i<start ; i++) {
      if (gondolaSeq[i] > n) {
        v.push_back({ val, gondolaSeq[i] });
      }

      val = val == n ? 1 : val + 1;
    }
  }
  else {
    for (int i=0 ; i<n ; i++) {
      v.push_back({ i+1, gondolaSeq[i] });
    }
  }

  sort(v.begin(), v.end(), [](pair<int, int> a, pair<int, int> b) {
    return a.second < b.second;
  });
 
  int next = n + 1;
  for (pair<int, int> x : v) {
    int cur = x.first, tar = x.second;
 
    while (cur != tar) {
      replacementSeq[l++] = cur;
      cur = next++;
    }
  }
 
  return l;
}

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

long long mop (long long a, long long b) {
  long long res = 1;

  while (b) {
    if (b&1) {
      res = (res * a) % mod;
    }

    b >>= 1;
    a = (a * a) % mod;
  }

  return res;
}

int countReplacement(int n, int inputSeq[]) {
  if (!valid(n, inputSeq)) {
    return 0;
  }

  int start = -1;
  vector<pair<int, int>> v;

  for (int i=0 ; i<n ; i++) {
    if (inputSeq[i] <= n) {
      start = i;
      break;
    }
  }

  if (start != -1) {
    int val = inputSeq[start] == n ? 1 : inputSeq[start] + 1;
    for (int i=start+1 ; i<n ; i++) {
      if (inputSeq[i] > n) {
        v.push_back({ val, inputSeq[i] });
      }

      val = val == n ? 1 : val + 1;
    }
    for (int i=0 ; i<start ; i++) {
      if (inputSeq[i] > n) {
        v.push_back({ val, inputSeq[i] });
      }

      val = val == n ? 1 : val + 1;
    }
  }
  else {
    for (int i=0 ; i<n ; i++) {
      v.push_back({ i+1, inputSeq[i] });
    }
  }

  sort(v.begin(), v.end(), [](pair<int, int> a, pair<int, int> b) {
    return a.second < b.second;
  });

  int k = v.size();

  if (k == 0) {
    return 1;
  }

  long long ans = mop(k, v[0].second - n - 1);

  for (int i=1 ; i<k ; i++) {
    ans *= mop(k-i, v[i].second - v[i-1].second - 1);
    ans %= mod;
  }

  if (start == -1) {
    ans *= n;
    ans %= mod;
  }

  return ans;
}

Subtask #1
5.0 / 5.0

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

Subtask #2
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 6 ms 1344 KB Output is correct
7 Correct 12 ms 2224 KB Output is correct
8 Correct 8 ms 2260 KB Output is correct
9 Correct 4 ms 856 KB Output is correct
10 Correct 15 ms 2260 KB Output is correct

Subtask #3
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 5 ms 1240 KB Output is correct
7 Correct 12 ms 2260 KB Output is correct
8 Correct 8 ms 2068 KB Output is correct
9 Correct 4 ms 860 KB Output is correct
10 Correct 11 ms 2284 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 1 ms 348 KB Output is correct
13 Correct 17 ms 2392 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 17 ms 2632 KB Output is correct

Subtask #4
5.0 / 5.0

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

Subtask #5
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 344 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 0 ms 344 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 1 ms 444 KB Output is correct

Subtask #6
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 0 ms 344 KB Output is correct
7 Correct 0 ms 344 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 1 ms 444 KB Output is correct
11 Correct 6 ms 1116 KB Output is correct
12 Correct 6 ms 1116 KB Output is correct
13 Correct 10 ms 1412 KB Output is correct
14 Correct 5 ms 1368 KB Output is correct
15 Correct 12 ms 2372 KB Output is correct

Subtask #7
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct

Subtask #8
15.0 / 15.0

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

Subtask #9
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 26 ms 3920 KB Output is correct
10 Correct 20 ms 3160 KB Output is correct
11 Correct 9 ms 1884 KB Output is correct
12 Correct 10 ms 1776 KB Output is correct
13 Correct 2 ms 604 KB Output is correct

Subtask #10
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 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 348 KB Output is correct
8 Correct 0 ms 352 KB Output is correct
9 Correct 26 ms 3932 KB Output is correct
10 Correct 20 ms 3164 KB Output is correct
11 Correct 11 ms 1708 KB Output is correct
12 Correct 14 ms 1880 KB Output is correct
13 Correct 3 ms 600 KB Output is correct
14 Correct 43 ms 5460 KB Output is correct
15 Correct 49 ms 5972 KB Output is correct
16 Correct 7 ms 1372 KB Output is correct
17 Correct 30 ms 4188 KB Output is correct
18 Correct 17 ms 2908 KB Output is correct