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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#621045#7778. Turning PermutationcpismylifeOwOWA 1ms3724kbC++204.7kb2024-10-08 01:06:592024-10-08 01:07:00

Judging History

你现在查看的是最新测评结果

  • [2024-10-08 01:07:00]
  • 评测
  • 测评结果:WA
  • 用时:1ms
  • 内存:3724kb
  • [2024-10-08 01:06:59]
  • 提交

answer

#include <bits/stdc++.h>

using namespace std;

const long long mod = 1e9 + 7;
const int MaxN = 5e1 + 5;

int n;
long long k;

void Inp()
{
    cin >> n >> k;
}

bool isup[MaxN];
bool mark[MaxN];
int res[MaxN];
long long C[MaxN][MaxN];
long long F[2][MaxN];

long long Calc(int cur)
{
    long long res = 1;
    for (int x = 1; x <= n; x++)
    {
        if (mark[x])
        {
            continue;
        }
        int y = x;
        while (y <= n && !mark[y])
        {
            y++;
        }
        if (F[isup[x]][y - x] > 1e18 || C[y - x][cur] > 1e18 || 1e18 / F[isup[x]][y - x] < C[y - x][cur])
        {
            return 1e18 + 1;
        }
        if (res > 1e18 || 1e18 / res < (F[isup[x]][y - x] * C[y - x][cur]))
        {
            return 1e18 + 1;
        }
        res *= F[isup[x]][y - x] * C[y - x][cur];
        cur -= y - x;
        x = y - 1;
    }
    return res;
}

bool Check(int x)
{
    if (isup[x])
    {
        return (!mark[x] && mark[x - 1] && mark[x + 1]);
    }
    return !mark[x];
}

void Exc()
{
    C[0][0] = 1;
    for (int x = 1; x <= n; x++)
    {
        C[0][x] = C[0][x - 1];
        for (int y = 1; y <= n; y++)
        {
            C[y][x] = min(C[y - 1][x - 1] + C[y][x - 1], (long long)1e18 + 1);
            //cout << C[y][x] << " ";
        }
        //cout << "\n";
    }
    F[0][0] = 1;
    F[1][0] = 1;
    F[0][1] = 1;
    F[1][1] = 1;
    for (int x = 2; x <= n; x++)
    {
        F[0][x] = F[1][x - 1];
        for (int y = 3; y < x; y += 2)
        {
            if (F[0][x] > 1e18 || F[0][y - 1] > 1e18 || F[1][x - y] > 1e18 || 1e18 / F[0][y - 1] < F[1][x - y])
            {
                F[0][x] = 1e18 + 1;
                continue;
            }
            long long cur = F[0][y - 1] * F[1][x - y];
            if (C[y - 1][x - 1] <= 1e18 && (cur != 0 || 1e18 / cur >= C[y - 1][x - 1]))
            {
                F[0][x] += cur * C[y - 1][x - 1];
            }
            else
            {
                F[0][x] = 1e18 + 1;
            }
            //cout << cur << " ";
            if (F[0][x] > 1e18)
            {
                F[0][x] = 1e18 + 1;
            }
        }
        if (x & 1)
        {
            F[0][x] += F[0][x - 1];
        }
        F[0][x] = min(F[0][x], (long long)1e18 + 1);
        for (int y = 2; y < x; y += 2)
        {
            if (F[1][x] > 1e18 || F[1][y - 1] > 1e18 || F[1][x - y] > 1e18 || 1e18 / F[1][y - 1] < F[1][x - y])
            {
                F[1][x] = 1e18 + 1;
                continue;
            }
            long long cur = F[1][y - 1] * F[1][x - y];
            if (C[y - 1][x - 1] <= 1e18 && (cur != 0 || 1e18 / cur >= C[y - 1][x - 1]))
            {
                F[1][x] += cur * C[y - 1][x - 1];
            }
            else
            {
                F[1][x] = 1e18 + 1;
            }
            if (F[1][x] > 1e18)
            {
                F[1][x] = 1e18 + 1;
            }
        }
        if (x % 2 == 0)
        {
            F[1][x] += F[1][x - 1];
        }
        F[1][x] = min(F[1][x], (long long)1e18 + 1);
        //cout << F[0][x] << " " << F[1][x] << "\n";
    }
    if (F[0][n] + F[1][n] < k)
    {
        cout << -1;
        return;
    }
    bool flip = false;
    for (int x = 1; x <= n; x++)
    {
        long long cur1 = F[(x & 1) ^ 1][x - 1], cur2 = F[1][n - x], cur3 = C[x - 1][n - 1];
        //cout << x << " " << cur1 << " " << cur2 << " " << cur3 << "\n";
        if (cur1 > 1e18 || cur2 > 1e18 || cur3 > 1e18 || 1e18 / cur1 < cur2 || 1e18 / (cur1 * cur2) < cur3 || k <= cur1 * cur2 * cur3)
        {
            res[1] = x;
            mark[x] = true;
            flip = (x & 1) ^ 1;
            break;
        }
        k -= cur1 * cur2 * cur3;
    }
    mark[0] = mark[n + 1] = true;
    for (int x = 1; x <= n; x++)
    {
        isup[x] = (x & 1) ^ flip ^ 1;
    }
    for (int x = 2; x <= n; x++)
    {
        for (int y = 1; y <= n; y++)
        {
            if (!Check(y))
            {
                continue;
            }
            mark[y] = true;
            long long cur = Calc(n - x);
            if (cur >= k)
            {
                res[x] = y;
                break;
            }
            mark[y] = false;
            k -= cur;
        }
    }
    for (int x = 1; x <= n; x++)
    {
        cout << res[x] << " ";
    }
}

int main()
{
    //freopen("B.INP", "r", stdin);
    //freopen("B.OUT", "w", stdout);
    ios_base::sync_with_stdio(false);
    cin.tie(nullptr);
    int test = 1;
    //cin >> test;
    for (int x = 1; x <= test; x++)
    {
        Inp();
        Exc();
    }
    return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 1ms
memory: 3704kb

input:

3 2

output:

2 1 3 

result:

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

Test #2:

score: 0
Accepted
time: 0ms
memory: 3580kb

input:

3 5

output:

-1

result:

ok 1 number(s): "-1"

Test #3:

score: 0
Accepted
time: 0ms
memory: 3572kb

input:

4 6

output:

3 1 2 4 

result:

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

Test #4:

score: 0
Accepted
time: 0ms
memory: 3580kb

input:

4 11

output:

-1

result:

ok 1 number(s): "-1"

Test #5:

score: 0
Accepted
time: 0ms
memory: 3704kb

input:

3 1

output:

1 3 2 

result:

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

Test #6:

score: 0
Accepted
time: 0ms
memory: 3580kb

input:

3 10

output:

-1

result:

ok 1 number(s): "-1"

Test #7:

score: 0
Accepted
time: 0ms
memory: 3580kb

input:

3 52

output:

-1

result:

ok 1 number(s): "-1"

Test #8:

score: 0
Accepted
time: 0ms
memory: 3644kb

input:

3 756

output:

-1

result:

ok 1 number(s): "-1"

Test #9:

score: 0
Accepted
time: 0ms
memory: 3572kb

input:

3 7721

output:

-1

result:

ok 1 number(s): "-1"

Test #10:

score: 0
Accepted
time: 0ms
memory: 3644kb

input:

5 1

output:

1 3 2 5 4 

result:

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

Test #11:

score: 0
Accepted
time: 0ms
memory: 3584kb

input:

5 8

output:

2 4 1 3 5 

result:

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

Test #12:

score: 0
Accepted
time: 0ms
memory: 3704kb

input:

5 85

output:

-1

result:

ok 1 number(s): "-1"

Test #13:

score: 0
Accepted
time: 0ms
memory: 3652kb

input:

5 846

output:

-1

result:

ok 1 number(s): "-1"

Test #14:

score: 0
Accepted
time: 0ms
memory: 3628kb

input:

5 6957

output:

-1

result:

ok 1 number(s): "-1"

Test #15:

score: 0
Accepted
time: 0ms
memory: 3656kb

input:

8 1

output:

1 3 2 5 4 7 6 8 

result:

ok 8 numbers

Test #16:

score: 0
Accepted
time: 0ms
memory: 3648kb

input:

8 7

output:

1 3 2 5 7 8 4 6 

result:

ok 8 numbers

Test #17:

score: 0
Accepted
time: 0ms
memory: 3588kb

input:

8 71

output:

1 3 7 5 4 2 6 8 

result:

ok 8 numbers

Test #18:

score: 0
Accepted
time: 0ms
memory: 3588kb

input:

8 863

output:

3 5 7 1 4 2 8 6 

result:

ok 8 numbers

Test #19:

score: 0
Accepted
time: 0ms
memory: 3660kb

input:

8 7099

output:

-1

result:

ok 1 number(s): "-1"

Test #20:

score: 0
Accepted
time: 1ms
memory: 3632kb

input:

10 100000

output:

10 8 4 6 9 2 7 3 5 1 

result:

ok 10 numbers

Test #21:

score: 0
Accepted
time: 0ms
memory: 3652kb

input:

10 62278

output:

7 1 9 8 5 10 3 6 2 4 

result:

ok 10 numbers

Test #22:

score: 0
Accepted
time: 0ms
memory: 3648kb

input:

10 1000000

output:

-1

result:

ok 1 number(s): "-1"

Test #23:

score: 0
Accepted
time: 0ms
memory: 3712kb

input:

10 572106

output:

-1

result:

ok 1 number(s): "-1"

Test #24:

score: 0
Accepted
time: 0ms
memory: 3660kb

input:

10 10000000

output:

-1

result:

ok 1 number(s): "-1"

Test #25:

score: 0
Accepted
time: 0ms
memory: 3636kb

input:

10 9715489

output:

-1

result:

ok 1 number(s): "-1"

Test #26:

score: 0
Accepted
time: 0ms
memory: 3648kb

input:

10 100000000

output:

-1

result:

ok 1 number(s): "-1"

Test #27:

score: 0
Accepted
time: 0ms
memory: 3644kb

input:

10 85089137

output:

-1

result:

ok 1 number(s): "-1"

Test #28:

score: 0
Accepted
time: 0ms
memory: 3588kb

input:

10 1000000000

output:

-1

result:

ok 1 number(s): "-1"

Test #29:

score: 0
Accepted
time: 0ms
memory: 3608kb

input:

10 906109922

output:

-1

result:

ok 1 number(s): "-1"

Test #30:

score: 0
Accepted
time: 0ms
memory: 3588kb

input:

15 100000

output:

1 3 2 5 7 9 13 15 11 6 4 14 10 8 12 

result:

ok 15 numbers

Test #31:

score: 0
Accepted
time: 0ms
memory: 3636kb

input:

15 99389

output:

1 3 2 5 7 9 13 15 6 4 11 8 10 14 12 

result:

ok 15 numbers

Test #32:

score: 0
Accepted
time: 0ms
memory: 3684kb

input:

15 1000000

output:

1 3 2 7 15 13 5 11 6 9 8 14 4 10 12 

result:

ok 15 numbers

Test #33:

score: 0
Accepted
time: 0ms
memory: 3656kb

input:

15 691130

output:

1 3 2 7 9 5 11 4 13 6 15 12 10 8 14 

result:

ok 15 numbers

Test #34:

score: 0
Accepted
time: 0ms
memory: 3652kb

input:

15 10000000

output:

1 3 7 5 4 9 13 11 6 15 10 12 14 2 8 

result:

ok 15 numbers

Test #35:

score: 0
Accepted
time: 0ms
memory: 3652kb

input:

15 8403898

output:

1 3 5 13 15 9 7 6 11 12 10 8 14 2 4 

result:

ok 15 numbers

Test #36:

score: 0
Accepted
time: 0ms
memory: 3648kb

input:

15 100000000

output:

1 9 5 7 13 11 12 3 15 10 14 2 6 4 8 

result:

ok 15 numbers

Test #37:

score: 0
Accepted
time: 0ms
memory: 3656kb

input:

15 80159790

output:

1 7 9 15 11 5 13 3 4 8 12 10 14 2 6 

result:

ok 15 numbers

Test #38:

score: 0
Accepted
time: 1ms
memory: 3656kb

input:

15 1000000000

output:

4 14 10 6 15 8 2 5 12 3 11 7 13 9 1 

result:

ok 15 numbers

Test #39:

score: 0
Accepted
time: 0ms
memory: 3660kb

input:

15 941321083

output:

4 12 2 14 10 8 9 1 3 6 7 13 11 5 15 

result:

ok 15 numbers

Test #40:

score: 0
Accepted
time: 0ms
memory: 3660kb

input:

20 100000000000000

output:

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

result:

ok 20 numbers

Test #41:

score: 0
Accepted
time: 0ms
memory: 3656kb

input:

20 88340160907341

output:

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

result:

ok 20 numbers

Test #42:

score: 0
Accepted
time: 0ms
memory: 3652kb

input:

20 1000000000000000

output:

-1

result:

ok 1 number(s): "-1"

Test #43:

score: 0
Accepted
time: 0ms
memory: 3592kb

input:

20 825683798851116

output:

-1

result:

ok 1 number(s): "-1"

Test #44:

score: 0
Accepted
time: 0ms
memory: 3664kb

input:

20 10000000000000000

output:

-1

result:

ok 1 number(s): "-1"

Test #45:

score: 0
Accepted
time: 0ms
memory: 3648kb

input:

20 7757196171989613

output:

-1

result:

ok 1 number(s): "-1"

Test #46:

score: 0
Accepted
time: 0ms
memory: 3664kb

input:

20 100000000000000000

output:

-1

result:

ok 1 number(s): "-1"

Test #47:

score: 0
Accepted
time: 0ms
memory: 3596kb

input:

20 97697763625539018

output:

-1

result:

ok 1 number(s): "-1"

Test #48:

score: 0
Accepted
time: 0ms
memory: 3660kb

input:

20 1000000000000000000

output:

-1

result:

ok 1 number(s): "-1"

Test #49:

score: 0
Accepted
time: 0ms
memory: 3652kb

input:

20 828662389005083354

output:

-1

result:

ok 1 number(s): "-1"

Test #50:

score: 0
Accepted
time: 0ms
memory: 3716kb

input:

21 100000000000000

output:

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

result:

ok 21 numbers

Test #51:

score: 0
Accepted
time: 1ms
memory: 3712kb

input:

21 84706086886746

output:

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

result:

ok 21 numbers

Test #52:

score: 0
Accepted
time: 0ms
memory: 3632kb

input:

21 1000000000000000

output:

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

result:

ok 21 numbers

Test #53:

score: 0
Accepted
time: 0ms
memory: 3592kb

input:

21 554929680010592

output:

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

result:

ok 21 numbers

Test #54:

score: 0
Accepted
time: 0ms
memory: 3664kb

input:

21 10000000000000000

output:

-1

result:

ok 1 number(s): "-1"

Test #55:

score: 0
Accepted
time: 0ms
memory: 3712kb

input:

21 6191328159326492

output:

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

result:

ok 21 numbers

Test #56:

score: 0
Accepted
time: 0ms
memory: 3664kb

input:

21 100000000000000000

output:

-1

result:

ok 1 number(s): "-1"

Test #57:

score: 0
Accepted
time: 0ms
memory: 3584kb

input:

21 78209209037176977

output:

-1

result:

ok 1 number(s): "-1"

Test #58:

score: 0
Accepted
time: 0ms
memory: 3660kb

input:

21 1000000000000000000

output:

-1

result:

ok 1 number(s): "-1"

Test #59:

score: 0
Accepted
time: 0ms
memory: 3596kb

input:

21 924750540534119586

output:

-1

result:

ok 1 number(s): "-1"

Test #60:

score: 0
Accepted
time: 0ms
memory: 3596kb

input:

22 100000000000000

output:

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

result:

ok 22 numbers

Test #61:

score: 0
Accepted
time: 0ms
memory: 3588kb

input:

22 81076307833447

output:

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

result:

ok 22 numbers

Test #62:

score: 0
Accepted
time: 0ms
memory: 3588kb

input:

22 1000000000000000

output:

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

result:

ok 22 numbers

Test #63:

score: 0
Accepted
time: 0ms
memory: 3584kb

input:

22 784179856137365

output:

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

result:

ok 22 numbers

Test #64:

score: 0
Accepted
time: 0ms
memory: 3596kb

input:

22 10000000000000000

output:

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

result:

ok 22 numbers

Test #65:

score: 0
Accepted
time: 0ms
memory: 3716kb

input:

22 9625464441630667

output:

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

result:

ok 22 numbers

Test #66:

score: 0
Accepted
time: 0ms
memory: 3660kb

input:

22 100000000000000000

output:

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

result:

ok 22 numbers

Test #67:

score: 0
Accepted
time: 0ms
memory: 3652kb

input:

22 58720645858880344

output:

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

result:

ok 22 numbers

Test #68:

score: 0
Accepted
time: 0ms
memory: 3712kb

input:

22 1000000000000000000

output:

-1

result:

ok 1 number(s): "-1"

Test #69:

score: 0
Accepted
time: 0ms
memory: 3716kb

input:

22 797466650913412732

output:

-1

result:

ok 1 number(s): "-1"

Test #70:

score: 0
Accepted
time: 0ms
memory: 3588kb

input:

23 100000000000000

output:

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

result:

ok 23 numbers

Test #71:

score: 0
Accepted
time: 0ms
memory: 3592kb

input:

23 77446528780149

output:

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

result:

ok 23 numbers

Test #72:

score: 0
Accepted
time: 0ms
memory: 3584kb

input:

23 1000000000000000

output:

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

result:

ok 23 numbers

Test #73:

score: 0
Accepted
time: 0ms
memory: 3652kb

input:

23 513430032264138

output:

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

result:

ok 23 numbers

Test #74:

score: 0
Accepted
time: 0ms
memory: 3724kb

input:

23 10000000000000000

output:

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

result:

ok 23 numbers

Test #75:

score: 0
Accepted
time: 0ms
memory: 3708kb

input:

23 8059600723934841

output:

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

result:

ok 23 numbers

Test #76:

score: 0
Accepted
time: 0ms
memory: 3708kb

input:

23 100000000000000000

output:

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

result:

ok 23 numbers

Test #77:

score: 0
Accepted
time: 0ms
memory: 3708kb

input:

23 62604119535359335

output:

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

result:

ok 23 numbers

Test #78:

score: 0
Accepted
time: 0ms
memory: 3592kb

input:

23 1000000000000000000

output:

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

result:

ok 23 numbers

Test #79:

score: 0
Accepted
time: 0ms
memory: 3636kb

input:

23 670182765587673173

output:

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

result:

ok 23 numbers

Test #80:

score: -100
Wrong Answer
time: 0ms
memory: 3644kb

input:

30 100000000000000

output:

-1

result:

wrong answer 1st numbers differ - expected: '1', found: '-1'