Submission #764455

# Submission time Handle Problem Language Result Execution time Memory
764455 2023-06-23T12:19:04 Z boris_mihov Dancing Elephants (IOI11_elephants) C++17
50 / 100
9000 ms 11056 KB
#include "elephants.h"
#include <algorithm>
#include <iostream>
#include <numeric>
#include <cassert>
#include <random>
#include <vector>
#include <set>

typedef long long llong;
const int MAXNUM = 1000000000;
const int BUCKET_SIZE = 2000;
const int MAXN = 150000 + 10;
const int INF  = 2e9;

int n, len;
int a[MAXN];
int x[MAXN];
std::vector <int> nums[BUCKET_SIZE];
std::vector <std::pair <int,int>> dp[BUCKET_SIZE];

void fix(int idx)
{
    dp[idx].resize(nums[idx].size());
    int ptr = nums[idx].size();

    for (int i = (int)nums[idx].size() - 1 ; i >= 0 ; --i)
    {
        while (ptr > 0 && nums[idx][i] + len < nums[idx][ptr - 1])
        {
            ptr--;
        }

        if (ptr == nums[idx].size())
        {
            dp[idx][i] = {1, nums[idx][i] + len};
        } else
        {
            dp[idx][i] = dp[idx][ptr];
            dp[idx][i].first++;
        }
    }
}

void erase(int idx, int val)
{
    for (int i = 0 ; i < nums[idx].size() ; ++i)
    {
        if (nums[idx][i] == val)
        {
            nums[idx].erase(nums[idx].begin() + i);
            break;
        }
    }

    fix(idx);
}

void insert(int idx, int val)
{
    bool inserted = false;
    for (int i = 0 ; i < nums[idx].size() ; ++i)
    {   
        if (val < nums[idx][i])
        {
            nums[idx].insert(nums[idx].begin() + i, val);
            inserted = true;
            break;
        }
    }   

    if (!inserted)
    {
        nums[idx].push_back(val);
    }

    fix(idx);
}

std::multiset <int> ms;
void init(int N, int L, int X[])
{
    n = N;
    len = L;

    for (int i = 1 ; i <= n ; ++i)
    {
        x[i] = a[i] = X[i - 1];
    }

    for (int i = 1 ; i <= n ; ++i)
    {
        nums[i / BUCKET_SIZE].push_back(a[i]);
    }

    for (int i = 0 ; i < BUCKET_SIZE ; ++i)
    {
        std::sort(nums[i].begin(), nums[i].end());
        fix(i);
    }
}

void rebuild()
{
    for (int i = 1 ; i <= n ; ++i)
    {
        a[i] = x[i];
    }

    for (int i = 0 ; i < BUCKET_SIZE ; ++i)
    {   
        nums[i].clear();
    }

    std::sort(a + 1, a + 1 + n);
    for (int i = 1 ; i <= n ; ++i)
    {
        nums[i / BUCKET_SIZE].push_back(a[i]);
    }

    for (int i = 0 ; i < BUCKET_SIZE ; ++i)
    {
        std::sort(nums[i].begin(), nums[i].end());
        fix(i);
    }
}

int update(int idx, int y)
{
    for (int i = 0 ; i < BUCKET_SIZE ; ++i)
    {
        if (nums[i].size() > n / 2)
        {
            rebuild();
            break;
        }
    }

    idx++;
    for (int i = 0 ; i < BUCKET_SIZE ; ++i)
    {
        if (nums[i].empty())
        {
            continue;
        }

        if (nums[i][0] <= x[idx] && x[idx] <= nums[i].back())
        {
            erase(i, x[idx]);
            break;
        }
    }

    x[idx] = y;
    bool inserted = false;
    int lastBucket = -1;

    for (int i = 0 ; i < BUCKET_SIZE ; ++i)
    {
        if (nums[i].empty())
        {
            continue;
        }

        lastBucket = i;
        if (nums[i][0] <= x[idx] && x[idx] <= nums[i].back())
        {
            inserted = true;
            insert(i, x[idx]);
            break;
        }

        if (nums[i][0] > x[idx])
        {
            inserted = true;
            insert(i, x[idx]);
        }
    }

    if (!inserted)
    {
        insert(lastBucket, x[idx]);
    }

    int res = 0;
    int coveredTo = -1;
    for (int bucket = 0 ; bucket <= 100 ; ++bucket)
    {
        if (nums[bucket].empty())
        {
            continue;
        }

        if (coveredTo >= nums[bucket].back())
        {
            continue;
        }
        
        int l = -1, r = nums[bucket].size() - 1, mid;
        while (l < r - 1)
        {
            mid = (l + r) / 2;
            if (nums[bucket][mid] <= coveredTo) l = mid;
            else r = mid;
        }

        res += dp[bucket][r].first;
        coveredTo = dp[bucket][r].second;
    }

    return res;
}

Compilation message

elephants.cpp: In function 'void fix(int)':
elephants.cpp:34:17: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   34 |         if (ptr == nums[idx].size())
      |             ~~~~^~~~~~~~~~~~~~~~~~~
elephants.cpp: In function 'void erase(int, int)':
elephants.cpp:47:24: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   47 |     for (int i = 0 ; i < nums[idx].size() ; ++i)
      |                      ~~^~~~~~~~~~~~~~~~~~
elephants.cpp: In function 'void insert(int, int)':
elephants.cpp:62:24: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   62 |     for (int i = 0 ; i < nums[idx].size() ; ++i)
      |                      ~~^~~~~~~~~~~~~~~~~~
elephants.cpp: In function 'int update(int, int)':
elephants.cpp:132:28: warning: comparison of integer expressions of different signedness: 'std::vector<int>::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
  132 |         if (nums[i].size() > n / 2)
      |             ~~~~~~~~~~~~~~~^~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 2 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 2 ms 340 KB Output is correct
5 Correct 2 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 2 ms 340 KB Output is correct
5 Correct 2 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1747 ms 1692 KB Output is correct
8 Correct 3100 ms 2244 KB Output is correct
9 Correct 595 ms 2464 KB Output is correct
10 Correct 1694 ms 2672 KB Output is correct
11 Correct 1735 ms 2624 KB Output is correct
12 Correct 3299 ms 2852 KB Output is correct
13 Correct 1797 ms 2584 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 2 ms 340 KB Output is correct
5 Correct 2 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1747 ms 1692 KB Output is correct
8 Correct 3100 ms 2244 KB Output is correct
9 Correct 595 ms 2464 KB Output is correct
10 Correct 1694 ms 2672 KB Output is correct
11 Correct 1735 ms 2624 KB Output is correct
12 Correct 3299 ms 2852 KB Output is correct
13 Correct 1797 ms 2584 KB Output is correct
14 Correct 1269 ms 2536 KB Output is correct
15 Correct 914 ms 1916 KB Output is correct
16 Correct 2315 ms 2848 KB Output is correct
17 Correct 2549 ms 3776 KB Output is correct
18 Correct 3943 ms 3332 KB Output is correct
19 Execution timed out 9061 ms 11056 KB Time limit exceeded
20 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 2 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 2 ms 340 KB Output is correct
5 Correct 2 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1747 ms 1692 KB Output is correct
8 Correct 3100 ms 2244 KB Output is correct
9 Correct 595 ms 2464 KB Output is correct
10 Correct 1694 ms 2672 KB Output is correct
11 Correct 1735 ms 2624 KB Output is correct
12 Correct 3299 ms 2852 KB Output is correct
13 Correct 1797 ms 2584 KB Output is correct
14 Correct 1269 ms 2536 KB Output is correct
15 Correct 914 ms 1916 KB Output is correct
16 Correct 2315 ms 2848 KB Output is correct
17 Correct 2549 ms 3776 KB Output is correct
18 Correct 3943 ms 3332 KB Output is correct
19 Execution timed out 9061 ms 11056 KB Time limit exceeded
20 Halted 0 ms 0 KB -