oj.uz

Submission #1079218

# Submission time Handle Problem Language Result Execution time Memory
1079218 2024-08-28T12:07:38 Z boris_mihov Skyscraper (JOI16_skyscraper) C++17
20 / 100
 2000 ms 286552 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];
std::unordered_map <int,bool> bl[MAXN][MAXN][2][2];

int f(int idx, int count, int sum, bool foundB, bool foundE)
{
    if (sum + 1LL * (2 * count - foundB - foundE) > l)
    {
        return 0;
    }

    if (idx == n + 1)
    {
        if (!foundB || !foundE) return 0;
        return (count == 1 && sum <= l);
    }

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

    bl[idx][count][foundB][foundE][sum] = 1;
    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 3 ms 5724 KB Output is correct
2 Correct 3 ms 5728 KB Output is correct
3 Correct 2 ms 5724 KB Output is correct
4 Correct 3 ms 5724 KB Output is correct
5 Correct 4 ms 6268 KB Output is correct
6 Correct 5 ms 6492 KB Output is correct
7 Correct 5 ms 6272 KB Output is correct
8 Correct 3 ms 5724 KB Output is correct
9 Correct 5 ms 6532 KB Output is correct
10 Correct 3 ms 5980 KB Output is correct

Subtask #2
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 6236 KB Output is correct
2 Correct 23 ms 11256 KB Output is correct
3 Correct 7 ms 7000 KB Output is correct
4 Correct 23 ms 11192 KB Output is correct
5 Correct 23 ms 12124 KB Output is correct
6 Correct 14 ms 9308 KB Output is correct
7 Correct 9 ms 7816 KB Output is correct
8 Correct 7 ms 7004 KB Output is correct
9 Correct 7 ms 7164 KB Output is correct
10 Correct 21 ms 10332 KB Output is correct

Subtask #3
0 / 80.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 5724 KB Output is correct
2 Correct 3 ms 5728 KB Output is correct
3 Correct 2 ms 5724 KB Output is correct
4 Correct 3 ms 5724 KB Output is correct
5 Correct 4 ms 6268 KB Output is correct
6 Correct 5 ms 6492 KB Output is correct
7 Correct 5 ms 6272 KB Output is correct
8 Correct 3 ms 5724 KB Output is correct
9 Correct 5 ms 6532 KB Output is correct
10 Correct 3 ms 5980 KB Output is correct
11 Correct 4 ms 6236 KB Output is correct
12 Correct 23 ms 11256 KB Output is correct
13 Correct 7 ms 7000 KB Output is correct
14 Correct 23 ms 11192 KB Output is correct
15 Correct 23 ms 12124 KB Output is correct
16 Correct 14 ms 9308 KB Output is correct
17 Correct 9 ms 7816 KB Output is correct
18 Correct 7 ms 7004 KB Output is correct
19 Correct 7 ms 7164 KB Output is correct
20 Correct 21 ms 10332 KB Output is correct
21 Correct 510 ms 77392 KB Output is correct
22 Execution timed out 2031 ms 286552 KB Time limit exceeded
23 Halted 0 ms 0 KB -