oj.uz

Submission #1079220

# Submission time Handle Problem Language Result Execution time Memory
1079220 2024-08-28T12:08:44 Z boris_mihov Skyscraper (JOI16_skyscraper) C++17
20 / 100
 2000 ms 200276 KB 
#include <unordered_map>
#include <algorithm>
#include <iostream>
#include <numeric>
#include <cassert>
#include <vector>

typedef long long llong;
const int MAXN = 100 + 10;
const int MAXL = 1000 + 10;
const int MOD  = 1e9 + 7;

int n, l;
int a[MAXN];
std::unordered_map <int,int> dp[MAXN][MAXN][2][2];

int f(int idx, int count, int sum, bool foundB, bool foundE)
{
    if (sum + 1LL * (2 * count - foundB - foundE) * (2 * count - foundB - foundE) / 2 > l)
    {
        return 0;
    }
    
    if (idx == n + 1)
    {
        if (!foundB || !foundE) return 0;
        return (count == 1 && sum <= l);
    }

    if (dp[idx][count][foundB][foundE].count(sum))
    {
        return dp[idx][count][foundB][foundE][sum];
    }

    llong res = f(idx + 1, count + 1, sum - 2 * a[idx], foundB, foundE);
    if (!foundB)
    {
        res += f(idx + 1, count + 1, sum - a[idx], 1, foundE);
    }

    if (!foundE)
    {
        res += f(idx + 1, count + 1, sum - a[idx], foundB, 1);
    }

    if (count >= 1) 
    {
        res += (2LL * count - foundB - foundE) * f(idx + 1, count, sum, foundB, foundE);
        if (!foundB)
        {
            res += (count - foundE) * f(idx + 1, count, sum + a[idx], 1, foundE);
            if (foundE && count == 1 && idx == n)
            {
                res += f(idx + 1, count, sum + a[idx], 1, foundE);
            }
        }

        if (!foundE)
        {
            res += (count - foundB) * f(idx + 1, count, sum + a[idx], foundB, 1);
            if (foundB && count == 1 && idx == n)
            {
                res += f(idx + 1, count, sum + a[idx], foundB, 1);
            }
        }
    }

    if (count >= 2) 
    {
        int cntFree = count - foundB - foundE;
        res += 1LL * cntFree * (cntFree - 1) * f(idx + 1, count - 1, sum + 2 * a[idx], foundB, foundE);

        if (foundB)
        {
            res += 1LL * (count - 1 - foundE) * f(idx + 1, count - 1, sum + 2 * a[idx], foundB, foundE);
        }

        if (foundE)
        {
            res += 1LL * (count - 1 - foundB) * f(idx + 1, count - 1, sum + 2 * a[idx], foundB, foundE);
        }

        if (foundB && foundE && idx == n)
        {
            res += f(idx + 1, count - 1, sum + 2 * a[idx], foundB, foundE);
        }
    }

    return dp[idx][count][foundB][foundE][sum] = res % MOD;
}

void solve()
{
    if (n == 1)
    {
        std::cout << 1 << '\n';
        return;
    }

    std::sort(a + 1, a + 1 + n);
    std::cout << f(1, 0, 0, 0, 0) << '\n';
}

void input()
{
    std::cin >> n >> l;
    for (int i = 1 ; i <= n ; ++i)
    {
        std::cin >> a[i];
    }
}

void fastIOI()
{
    std::ios_base:: sync_with_stdio(0);
    std::cout.tie(nullptr);
    std::cin.tie(nullptr);
}

int main()
{
    fastIOI();
    input();
    solve();

    return 0;
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2904 KB Output is correct
2 Correct 1 ms 2904 KB Output is correct
3 Correct 1 ms 2908 KB Output is correct
4 Correct 1 ms 2908 KB Output is correct
5 Correct 2 ms 3416 KB Output is correct
6 Correct 2 ms 3420 KB Output is correct
7 Correct 3 ms 3164 KB Output is correct
8 Correct 2 ms 3164 KB Output is correct
9 Correct 3 ms 3420 KB Output is correct
10 Correct 2 ms 3160 KB Output is correct

Subtask #2
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 3160 KB Output is correct
2 Correct 18 ms 5712 KB Output is correct
3 Correct 4 ms 3676 KB Output is correct
4 Correct 15 ms 5700 KB Output is correct
5 Correct 17 ms 6204 KB Output is correct
6 Correct 10 ms 4956 KB Output is correct
7 Correct 6 ms 3932 KB Output is correct
8 Correct 4 ms 3676 KB Output is correct
9 Correct 4 ms 3676 KB Output is correct
10 Correct 12 ms 5212 KB Output is correct

Subtask #3
0 / 80.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2904 KB Output is correct
2 Correct 1 ms 2904 KB Output is correct
3 Correct 1 ms 2908 KB Output is correct
4 Correct 1 ms 2908 KB Output is correct
5 Correct 2 ms 3416 KB Output is correct
6 Correct 2 ms 3420 KB Output is correct
7 Correct 3 ms 3164 KB Output is correct
8 Correct 2 ms 3164 KB Output is correct
9 Correct 3 ms 3420 KB Output is correct
10 Correct 2 ms 3160 KB Output is correct
11 Correct 2 ms 3160 KB Output is correct
12 Correct 18 ms 5712 KB Output is correct
13 Correct 4 ms 3676 KB Output is correct
14 Correct 15 ms 5700 KB Output is correct
15 Correct 17 ms 6204 KB Output is correct
16 Correct 10 ms 4956 KB Output is correct
17 Correct 6 ms 3932 KB Output is correct
18 Correct 4 ms 3676 KB Output is correct
19 Correct 4 ms 3676 KB Output is correct
20 Correct 12 ms 5212 KB Output is correct
21 Correct 102 ms 19028 KB Output is correct
22 Execution timed out 2079 ms 200276 KB Time limit exceeded
23 Halted 0 ms 0 KB -