QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#468318#8529. Balance of Permutationucup-team3519#AC ✓1758ms8620kbC++203.7kb2024-07-08 20:13:592024-07-08 20:13:59

Judging History

你现在查看的是最新测评结果

  • [2024-07-08 20:13:59]
  • 评测
  • 测评结果:AC
  • 用时:1758ms
  • 内存:8620kb
  • [2024-07-08 20:13:59]
  • 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 / 2 + 19][N / 2 + 3][N / 2 + 3];

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 = std::min(i * i, n * n / 2); j >= 0; --j) {
                for (int a = std::min(i, n - i); a >= 0; --a) {
                    for (int b = std::min(i, n - i); b >= 0; --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: 6ms
memory: 8300kb

input:

6 6 6

output:

1 2 6 3 4 5 

result:

ok 6 numbers

Test #2:

score: 0
Accepted
time: 925ms
memory: 8608kb

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: 8620kb

input:

1 0 1

output:

1 

result:

ok 1 number(s): "1"

Test #4:

score: 0
Accepted
time: 2ms
memory: 8304kb

input:

2 0 1

output:

1 2 

result:

ok 2 number(s): "1 2"

Test #5:

score: 0
Accepted
time: 2ms
memory: 8596kb

input:

2 2 1

output:

2 1 

result:

ok 2 number(s): "2 1"

Test #6:

score: 0
Accepted
time: 3ms
memory: 8312kb

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: 14ms
memory: 8300kb

input:

7 20 100

output:

3 6 7 4 1 5 2 

result:

ok 7 numbers

Test #8:

score: 0
Accepted
time: 7ms
memory: 8300kb

input:

7 2 6

output:

2 1 3 4 5 6 7 

result:

ok 7 numbers

Test #9:

score: 0
Accepted
time: 10ms
memory: 8600kb

input:

7 24 1

output:

4 5 6 7 1 2 3 

result:

ok 7 numbers

Test #10:

score: 0
Accepted
time: 15ms
memory: 8360kb

input:

7 22 360

output:

7 6 4 3 5 2 1 

result:

ok 7 numbers

Test #11:

score: 0
Accepted
time: 16ms
memory: 8360kb

input:

7 20 358

output:

5 7 2 4 6 3 1 

result:

ok 7 numbers

Test #12:

score: 0
Accepted
time: 40ms
memory: 8312kb

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: 34ms
memory: 8248kb

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: 457ms
memory: 8360kb

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: 813ms
memory: 8372kb

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: 710ms
memory: 8376kb

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: 706ms
memory: 8608kb

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: 782ms
memory: 8608kb

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: 918ms
memory: 8372kb

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: 0
Accepted
time: 1237ms
memory: 8312kb

input:

30 400 46479902466857426153849991132

output:

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

result:

ok 30 numbers

Test #21:

score: 0
Accepted
time: 1068ms
memory: 8320kb

input:

30 450 1140008168482799670544355

output:

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

result:

ok 30 numbers

Test #22:

score: 0
Accepted
time: 513ms
memory: 8364kb

input:

30 150 480087379811286955791425915

output:

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

result:

ok 30 numbers

Test #23:

score: 0
Accepted
time: 507ms
memory: 8596kb

input:

30 150 480087379811286955791439470

output:

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

result:

ok 30 numbers

Test #24:

score: 0
Accepted
time: 1236ms
memory: 8528kb

input:

30 440 41509275104334759322587324

output:

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

result:

ok 30 numbers

Test #25:

score: 0
Accepted
time: 1130ms
memory: 8252kb

input:

30 450 1140008168482800727111311

output:

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

result:

ok 30 numbers

Test #26:

score: 0
Accepted
time: 1295ms
memory: 8356kb

input:

30 400 52289890275214604423031772929

output:

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

result:

ok 30 numbers

Test #27:

score: 0
Accepted
time: 109ms
memory: 8596kb

input:

30 0 1

output:

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

result:

ok 30 numbers

Test #28:

score: 0
Accepted
time: 960ms
memory: 8596kb

input:

30 450 1

output:

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

result:

ok 30 numbers

Test #29:

score: 0
Accepted
time: 1758ms
memory: 8568kb

input:

30 450 1710012252724199424000000

output:

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

result:

ok 30 numbers

Test #30:

score: 0
Accepted
time: 1415ms
memory: 8396kb

input:

30 450 1692383260428073656742269

output:

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

result:

ok 30 numbers

Test #31:

score: 0
Accepted
time: 1221ms
memory: 8404kb

input:

30 302 5918364042599361729860937331200

output:

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

result:

ok 30 numbers

Test #32:

score: 0
Accepted
time: 864ms
memory: 8300kb

input:

30 254 2256781660157136563723839089600

output:

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

result:

ok 30 numbers

Test #33:

score: 0
Accepted
time: 1520ms
memory: 8372kb

input:

30 448 3131906441000512625049600

output:

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

result:

ok 30 numbers

Test #34:

score: 0
Accepted
time: 118ms
memory: 8336kb

input:

30 2 20

output:

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

result:

ok 30 numbers

Test #35:

score: 0
Accepted
time: 109ms
memory: 8304kb

input:

30 2 29

output:

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

result:

ok 30 numbers

Extra Test:

score: 0
Extra Test Passed