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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#468217#8529. Balance of Permutationucup-team3519#TL 6387ms29164kbC++203.7kb2024-07-08 19:53:372024-07-08 19:53:37

Judging History

你现在查看的是最新测评结果

  • [2024-07-08 19:53:37]
  • 评测
  • 测评结果:TL
  • 用时:6387ms
  • 内存:29164kb
  • [2024-07-08 19:53:37]
  • 提交

answer

#include <bits/stdc++.h>

using i128 = __int128_t;

template <typename Tp>
void read(Tp &res) {
    char ch;
    ch = std::cin.get();
    while (!isdigit(ch)) {
        ch = std::cin.get();
    }
    res = 0;
    while (isdigit(ch)) {
        res = res * 10 + int(ch - 48);
        ch = std::cin.get();
    }
}

constexpr int N = 30;
i128 dp[2][N * N + 1][N][N];

int main() {
    std::ios::sync_with_stdio(false);
    std::cin.tie(nullptr);

    int n, b;
    i128 k;

    read(n), read(b), read(k);

    std::vector<uint8_t> upper(n), lower(n);
    std::vector<int> ans;

    auto check = [&]() -> i128 {
        memset(dp[1], 0, sizeof(dp[1]));
        dp[1][0][0][0] = 1;

        for (int i = 0; i < n; ++i) {
            memset(dp[i & 1], 0, sizeof(dp[i & 1]));
            for (int j = 0; j <= i * i; ++j) {
                for (int a = 0; a <= i; ++a) {
                    for (int b = 0; b <= i; ++b) {
                        if (dp[i & 1 ^ 1][j][a][b] == 0) {
                            continue;
                        }
                        i128 val = dp[i & 1 ^ 1][j][a][b];
                        
                        if (!upper[i] && !lower[i]) {
                            // null
                            dp[i & 1][j + a + b][a][b] += val;

                            // a -= 1 a += 1
                            dp[i & 1][j + a + b][a][b] += a * val;

                            // b -= 1 b += 1
                            dp[i & 1][j + a + b][a][b] += b * val;

                            // a -= 1 b -= 1
                            if (a && b) {
                                dp[i & 1][j + a + b][a - 1][b - 1] += a * b * val;
                            }

                            // a += 1 b += 1
                            dp[i & 1][j + a + b][a + 1][b + 1] += val;
                        } else if (!lower[i]) {
                            dp[i & 1][j + a + b][a + 1][b] += val;
                            if (b) {
                                dp[i & 1][j + a + b][a][b - 1] += b * val;
                            }
                        } else if (!upper[i]) {
                            dp[i & 1][j + a + b][a][b + 1] += val;
                            if (a) {
                                dp[i & 1][j + a + b][a - 1][b] += a * val;
                            }
                        } else {
                            dp[i & 1][j + a + b][a][b] += val;
                        }
                    }
                }
            }
        }

        return dp[(n - 1) & 1][b][0][0];
    };

    for (int i = 0; i < n; ++i) {
        upper[i] = true;
        for (int j = 0; j < n; ++j) {
            if (!lower[j]) {
                int tmp_b = b;
                b -= abs(i - j);
                if (b < 0) {
                    continue;
                }

                lower[j] = true;
                i128 num = check();
                
                
                // for (int p = 0; p < n; ++p) {
                //     std::cout << (int)upper[p];
                // }
                // std::cout << '\n';
                // for (int p = 0; p < n; ++p) {
                //     std::cout << (int)lower[p];
                // }
                // std::cout << '\n';
                // std::cout << "k, num = " << (int)k << ", " << (int)num << '\n';
                if (k <= num) {
                    ans.push_back(j + 1);
                    break;
                }
                b = tmp_b;
                k -= num;
                lower[j] = false;
            }
        }
    }

    for (int i : ans) {
        std::cout << i << ' ';
    }
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 29ms
memory: 28864kb

input:

6 6 6

output:

1 2 6 3 4 5 

result:

ok 6 numbers

Test #2:

score: 0
Accepted
time: 6387ms
memory: 28868kb

input:

30 300 3030303030303030303030

output:

1 2 3 4 9 23 20 28 24 16 21 17 27 29 8 26 25 30 19 18 22 12 7 13 6 10 5 15 14 11 

result:

ok 30 numbers

Test #3:

score: 0
Accepted
time: 0ms
memory: 28880kb

input:

1 0 1

output:

1 

result:

ok 1 number(s): "1"

Test #4:

score: 0
Accepted
time: 4ms
memory: 28820kb

input:

2 0 1

output:

1 2 

result:

ok 2 number(s): "1 2"

Test #5:

score: 0
Accepted
time: 0ms
memory: 28868kb

input:

2 2 1

output:

2 1 

result:

ok 2 number(s): "2 1"

Test #6:

score: 0
Accepted
time: 27ms
memory: 28892kb

input:

5 8 3

output:

1 5 4 2 3 

result:

ok 5 number(s): "1 5 4 2 3"

Test #7:

score: 0
Accepted
time: 71ms
memory: 28868kb

input:

7 20 100

output:

3 6 7 4 1 5 2 

result:

ok 7 numbers

Test #8:

score: 0
Accepted
time: 26ms
memory: 28884kb

input:

7 2 6

output:

2 1 3 4 5 6 7 

result:

ok 7 numbers

Test #9:

score: 0
Accepted
time: 69ms
memory: 28864kb

input:

7 24 1

output:

4 5 6 7 1 2 3 

result:

ok 7 numbers

Test #10:

score: 0
Accepted
time: 93ms
memory: 28936kb

input:

7 22 360

output:

7 6 4 3 5 2 1 

result:

ok 7 numbers

Test #11:

score: 0
Accepted
time: 84ms
memory: 28868kb

input:

7 20 358

output:

5 7 2 4 6 3 1 

result:

ok 7 numbers

Test #12:

score: 0
Accepted
time: 207ms
memory: 28864kb

input:

10 48 10001

output:

7 5 8 9 6 10 3 4 1 2 

result:

ok 10 numbers

Test #13:

score: 0
Accepted
time: 197ms
memory: 28952kb

input:

10 42 10101

output:

3 9 6 8 10 5 7 2 1 4 

result:

ok 10 numbers

Test #14:

score: 0
Accepted
time: 2886ms
memory: 29120kb

input:

25 300 1

output:

7 14 15 16 17 18 19 20 21 22 23 24 25 1 2 3 4 5 6 8 9 10 11 12 13 

result:

ok 25 numbers

Test #15:

score: 0
Accepted
time: 5121ms
memory: 29128kb

input:

25 300 283788388040048639877

output:

25 24 23 22 21 20 19 18 17 16 11 12 13 14 15 10 9 8 7 5 6 4 2 1 3 

result:

ok 25 numbers

Test #16:

score: 0
Accepted
time: 4570ms
memory: 29164kb

input:

26 302 105773752969551707419545

output:

19 22 25 13 17 18 23 20 10 26 16 6 5 11 14 12 24 4 3 21 1 15 7 8 2 9 

result:

ok 26 numbers

Test #17:

score: 0
Accepted
time: 4626ms
memory: 29152kb

input:

27 308 8781128321749037280676555

output:

16 18 17 21 25 6 20 24 22 15 27 5 7 8 2 9 26 13 1 3 14 10 23 19 4 11 12 

result:

ok 27 numbers

Test #18:

score: 0
Accepted
time: 5230ms
memory: 28928kb

input:

28 304 806517199954337651602356955

output:

12 17 5 16 23 26 25 15 20 2 19 7 22 24 6 13 11 10 28 8 1 21 18 14 27 3 4 9 

result:

ok 28 numbers

Test #19:

score: 0
Accepted
time: 6198ms
memory: 28864kb

input:

29 322 40281026669581503094652149519

output:

16 21 10 25 17 29 9 28 2 8 26 27 22 4 3 5 18 14 19 1 23 20 15 11 13 7 6 12 24 

result:

ok 29 numbers

Test #20:

score: -100
Time Limit Exceeded

input:

30 400 46479902466857426153849991132

output:


result: