CSES - Datatähti 2025 alku - Results
Submission details
Task:Kortit II
Sender:Interaalimato
Submission time:2024-11-04 12:51:24 +0200
Language:C++ (C++20)
Status:READY
Result:8
Feedback
groupverdictscore
#1ACCEPTED3
#2ACCEPTED5
#30
#40
#50
Test results
testverdicttimegroup
#1ACCEPTED0.00 s1, 2, 3, 4, 5details
#2ACCEPTED0.02 s2, 3, 4, 5details
#3--3, 4, 5details
#4--4, 5details
#5--5details
#6--5details

Compiler report

input/code.cpp: In function 'unsigned int solve(int, int, int)':
input/code.cpp:50:25: warning: suggest parentheses around comparison in operand of '^' [-Wparentheses]
   50 |     if (a + b > n || (a == 0 ^ b == 0))
      |                       ~~^~~~

Code

#include <iostream>
#include <set>

using namespace std;

const unsigned int M = 1000000007;

unsigned int nCrize(unsigned int n, unsigned int k, unsigned int opts)
{
    for (unsigned int i = k + 1; i <= n; i++)
    {
        opts = (opts * i) % M;
    }
    for (unsigned int i = n - k + 1; i <= n; i++)
    {
        opts = (opts * i) % M;
    }
    return opts;
}

int options = 0;

// a is smaller at start, playing agst b
void search(int a, int b, int i, set<int> &used)
{
    if (a < 0 || b < 0)
    {
        return;
    }
    if (a == 0 && b == 0)
    {

        options = (options + 1) % M;
        return;
    }
    for (int j = 1; j < i + a + b; j++)
    {
        if (j == i || used.find(j) != used.end())
            continue;
        used.insert(j);
        search(a - (j > i), b - (j < i), i + 1, used);
        used.erase(j);
    }
}

unsigned int solve(int n, int a, int b)
{
    options = 0;
    int draws = n - a - b;
    if (a + b > n || (a == 0 ^ b == 0))
    {
        return 0;
    }
    set<int> used;
    search(min(a, b), max(a, b), 1, used);
    // Somenum = combinations where there are a + b cards and a has them in order

    return nCrize(n, draws, options);
}

int main()
{
    int t;
    cin >> t;
    for (int i = 0; i < t; i++)
    {
        int n, a, b;
        cin >> n >> a >> b;
        cout << solve(n, a, b) << "\n";
    }
    return 0;
}

Test details

Test 1

Group: 1, 2, 3, 4, 5

Verdict: ACCEPTED

input
54
4 4 0
3 1 3
3 2 2
4 0 4
...

correct output
0
0
0
0
0
...

user output
0
0
0
0
0
...

Test 2

Group: 2, 3, 4, 5

Verdict: ACCEPTED

input
284
6 1 0
5 0 2
7 1 5
7 7 5
...

correct output
0
0
35280
0
36720
...

user output
0
0
35280
0
36720
...

Test 3

Group: 3, 4, 5

Verdict:

input
841
19 3 12
19 19 13
19 7 13
20 11 15
...

correct output
40291066
0
0
0
0
...

user output
(empty)

Test 4

Group: 4, 5

Verdict:

input
1000
15 12 6
7 1 6
44 4 26
6 6 5
...

correct output
0
5040
494558320
0
340694548
...

user output
(empty)

Test 5

Group: 5

Verdict:

input
1000
892 638 599
966 429 655
1353 576 1140
1403 381 910
...

correct output
0
0
0
249098285
0
...

user output
(empty)

Test 6

Group: 5

Verdict:

input
1000
2000 1107 508
2000 1372 249
2000 588 65
2000 1739 78
...

correct output
750840601
678722180
744501884
159164549
868115056
...

user output
(empty)