CSES - Datatähti 2025 alku

Submission details
Task:	Tikut
Sender:	Chenran
Submission time:	2024-11-10 20:48:01 +0200
Language:	C++ (C++20)
Status:	READY
Result:	0

Feedback
group	verdict	score
#1	WRONG ANSWER	0
#2	WRONG ANSWER	0
#3	WRONG ANSWER	0
#4	WRONG ANSWER	0
#5	WRONG ANSWER	0
#6	WRONG ANSWER	0

Test results
test	verdict	time	group
#1	ACCEPTED	0.00 s	1, 3, 4, 5, 6	details
#2	WRONG ANSWER	0.00 s	1, 4, 5, 6	details
#3	WRONG ANSWER	0.00 s	1, 4, 5, 6	details
#4	WRONG ANSWER	0.00 s	1, 4, 5, 6	details
#5	WRONG ANSWER	0.01 s	2, 5, 6	details
#6	WRONG ANSWER	0.01 s	2, 5, 6	details
#7	WRONG ANSWER	0.03 s	3, 5, 6	details
#8	WRONG ANSWER	0.01 s	3, 5, 6	details
#9	WRONG ANSWER	0.01 s	3, 5, 6	details
#10	WRONG ANSWER	0.01 s	3, 5, 6	details
#11	WRONG ANSWER	0.01 s	3, 5, 6	details
#12	WRONG ANSWER	0.01 s	4, 5, 6	details
#13	WRONG ANSWER	0.00 s	4, 5, 6	details
#14	WRONG ANSWER	0.00 s	4, 5, 6	details
#15	WRONG ANSWER	0.00 s	4, 5, 6	details
#16	RUNTIME ERROR	0.00 s	5, 6	details
#17	WRONG ANSWER	0.01 s	5, 6	details
#18	WRONG ANSWER	0.00 s	5, 6	details
#19	WRONG ANSWER	0.01 s	5, 6	details
#20	WRONG ANSWER	0.19 s	6	details
#21	WRONG ANSWER	0.06 s	6	details
#22	WRONG ANSWER	0.19 s	6	details

Code

#include <iostream>

using namespace std;

const int MAX_N = 2000;
const long long MOD = 1000000007;

long long F[MAX_N + 1]{};
long long A[MAX_N + 1][MAX_N + 1]{};
long long C[MAX_N + 1][MAX_N + 1]{};
long long D[MAX_N + 1][MAX_N + 1]{};

long long compute_factorial(int n)
{
    if (n == 0)
        return 1;

    if (F[n] != 0)
        return F[n];

    F[n] = n * compute_factorial(n - 1) % MOD;

    return F[n];
}

long long compute_eulerian_number(int n, int k)
{
    if (n == k)
        return 0;

    if (A[n][k] != 0)
        return A[n][k];

    if (k >= n - k)
        k = n - k - 1;

    if (k == 0)
        return 1;

    A[n][k] = ((n - k) * compute_eulerian_number(n - 1, k - 1) % MOD +
               (k + 1) * compute_eulerian_number(n - 1, k) % MOD) %
              MOD;
    A[n][n - k - 1] = A[n][k];

    return A[n][k];
}

long long compute_binomial_coefficient(int n, int k)
{
    if (k == 0 || k == n)
        return 1;

    if (C[n][k] != 0)
        return C[n][k];

    if (k > n - k)
        k = n - k;

    C[n][k] = (compute_binomial_coefficient(n - 1, k - 1) +
               compute_binomial_coefficient(n - 1, k)) %
              MOD;
    C[n][n - k] = C[n][k];

    return C[n][k];
}

long long compute_derangement(int n, int k)
{
    if (D[n][k] != 0)
        return D[n][k];

    if (k > n - k)
        k = n - k;

    long long sum = 0;
    for (int j = 0; j < n - k; j++)
    {
        long long binomial = compute_binomial_coefficient(n, j);
        long long eulerian = compute_eulerian_number(n - j, k);
        long long item = binomial * eulerian % MOD;
        item = j % 2 == 0 ? item : MOD - item;
        sum += item;
        sum %= MOD;
    }
    D[n][k] = D[n][n - k] = sum;

    return sum;
}

int main()
{
    int t;
    cin >> t;

    while (t--)
    {
        int n, a, b;
        cin >> n >> a >> b;

        if ((a != 0 && b == 0) || (a == 0 && b != 0) || (a + b > n))
        {
            cout << 0 << endl;
            continue;
        }

        int tie = n - a - b;

        long long n_derangement = compute_derangement(n - tie, b);
        long long n_factorial = compute_factorial(n);
        long long n_tie_binomial = compute_binomial_coefficient(n, tie);
        long long result = n_derangement *
                           n_factorial % MOD *
                           n_tie_binomial % MOD;

        cout << result << endl;
    }

    return 0;
}

Test details

Test 1

Group: 1, 3, 4, 5, 6

Verdict: ACCEPTED

input
`1 1 6` view save

correct output
`0` view save

user output
`0` view save

Test 2

Group: 1, 4, 5, 6

Verdict: WRONG ANSWER

input
`5 10 4 8 6 2 7` view save

correct output
`5 4 2 2 2 1 1 1 1 1` view save

user output
`0 0 0 0 0` view save

Test 3

Group: 1, 4, 5, 6

Verdict: WRONG ANSWER

input
`5 10 5 5 8 6 7` view save

correct output
`3 3 2 3 2 2 1 1 1 2` view save

user output
`714243786 0 0 0 0` view save

Test 4

Group: 1, 4, 5, 6

Verdict: WRONG ANSWER

input
`5 10 8 7 9 6 10` view save

correct output
`4 4 3 3 2 2 1 2 2 1` view save

user output
`0 0 0 0 0` view save

Test 5

Group: 2, 5, 6

Verdict: WRONG ANSWER

input
`1000 1071 3 2 3 1 3 3 2 3 2 3 2 2 2 1 2 ...` view save

correct output
`2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 ...` view save

user output
`675168914 0 0 0 0 ...` view save

Test 6

Group: 2, 5, 6

Verdict: WRONG ANSWER

input
`1000 1500 3 2 2 3 2 3 2 2 2 3 2 2 3 3 3 ...` view save

correct output
`2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 ...` view save

user output
`758314082 0 0 0 0 ...` view save

Test 7

Group: 3, 5, 6

Verdict: WRONG ANSWER

input
`1000 2 15 710 210 347 398 66 318 277 ...` view save

correct output
`994 994` view save

user output
`0 0 0 0 0 ...` view save

Test 8

Group: 3, 5, 6

Verdict: WRONG ANSWER

input
`1000 2 743 890 592 942 736 969 616 50...` view save

correct output
`498 496` view save

user output
`0 0 0 0 0 ...` view save

Test 9

Group: 3, 5, 6

Verdict: WRONG ANSWER

input
`1000 2 987 968 920 994 988 918 914 95...` view save

correct output
`500 500` view save

user output
`0 0 0 0 0 ...` view save

Test 10

Group: 3, 5, 6

Verdict: WRONG ANSWER

input
`1000 2 996 1000 998 998 999 997 997 9...` view save

correct output
`500 500` view save

user output
`0 0 0 0 0 ...` view save

Test 11

Group: 3, 5, 6

Verdict: WRONG ANSWER

input
`1000 2 501 501 501 501 501 501 501 50...` view save

correct output
`1 168` view save

user output
`0 0 0 0 0 ...` view save

Test 12

Group: 4, 5, 6

Verdict: WRONG ANSWER

input
`100 200 145 136 74 83 73 36 196 115 11...` view save

correct output
`194 190 189 183 182 181 181 17...` view save

user output
`0 0 0 0 0 ...` view save

Test 13

Group: 4, 5, 6

Verdict: WRONG ANSWER

input
`100 200 157 110 168 155 192 107 146 15...` view save

correct output
`95 96 96 95 93 94 94 94 90 91 ...` view save

user output
`0 0 0 0 0 ...` view save

Test 14

Group: 4, 5, 6

Verdict: WRONG ANSWER

input
`50 200 137 118 160 118 146 160 140 18...` view save

correct output
`98 98 98 96 90 91 88 88 84 86 ...` view save

user output
`0 0 0 0 0 ...` view save

Test 15

Group: 4, 5, 6

Verdict: WRONG ANSWER

input
`100 200 147 174 186 148 155 128 158 18...` view save

correct output
`99 99 98 98 97 97 96 96 95 95 ...` view save

user output
`0 0 0 0 0 ...` view save

Test 16

Group: 5, 6

Verdict: RUNTIME ERROR

input
`1000 2000 928772177 816188227 216592201 ...` view save

correct output
`991676844 990940224 990685481 ...` view save

user output
`0 0` view save

Test 17

Group: 5, 6

Verdict: WRONG ANSWER

input
`1000 2000 665759876 597950008 615453266 ...` view save

correct output
`498801198 498681904 498504321 ...` view save

user output
`0 0 0 0 0 ...` view save

Test 18

Group: 5, 6

Verdict: WRONG ANSWER

input
`500 2000 683288817 784230412 626685186 ...` view save

correct output
`497667621 498434895 495465990 ...` view save

user output
`0 0 0 0 0 ...` view save

Test 19

Group: 5, 6

Verdict: WRONG ANSWER

input
`1000 2000 666667000 809309500 571572000 ...` view save

correct output
`499499500 499249250 498999000 ...` view save

user output
`0 0 0 0 0 ...` view save

Test 20

Group: 6

Verdict: WRONG ANSWER

input
`100000 200000 861772559 734298084 983382252 ...` view save

correct output
`499973914 499985299 499985141 ...` view save

user output
`0 0 0 0 0 ...` view save

Test 21

Group: 6

Verdict: WRONG ANSWER

input
`30000 200000 691834579 617419813 514778075 ...` view save

correct output
`499967533 499976270 499969810 ...` view save

user output
`0 0 0 0 0 ...` view save

Test 22

Group: 6

Verdict: WRONG ANSWER

input
`100000 200000 820255000 960780000 741965000 ...` view save

correct output
`499995000 499992500 499990000 ...` view save

user output
`0 0 0 0 0 ...` view save

Datatähti 2025 alku

Tikut

Code

Test details

Test 1

Test 2

Test 3

Test 4

Test 5

Test 6

Test 7

Test 8

Test 9

Test 10

Test 11

Test 12

Test 13

Test 14

Test 15

Test 16

Test 17

Test 18

Test 19

Test 20

Test 21

Test 22

Tasks

Submissions (Chenran)