CSES - Datatähti 2025 alku - Results
Submission details
Task:Kortit II
Sender:Vludo
Submission time:2024-11-05 00:16:53 +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
#2ACCEPTED0.01 s2, 3, 4, 5details
#3--3, 4, 5details
#4--4, 5details
#50.01 s5details
#60.00 s5details

Compiler report

input/code.cpp: In function 'll rf(int, int)':
input/code.cpp:29:31: warning: comparison of integer expressions of different signedness: 'std::vector<int>::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
   29 |         if (A<a && v.size()+1 < i) {
      |                    ~~~~~~~~~~~^~~
input/code.cpp:36:31: warning: comparison of integer expressions of different signedness: 'std::vector<int>::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
   36 |         if (B<b && v.size()+1 > i) {
      |                    ~~~~~~~~~~~^~~

Code

#include<bits/stdc++.h>
using namespace std;
#define forn(i,n) for(int i=0;i<n;++i)
#define forN(i,k,n) for(int i=k;i<n;++i)
#define pb push_back
#define F first
#define S second
typedef long long ll;
typedef pair<int,int> pii;
typedef pair<ll,ll> pll;
#define inf ((int)(1.01e9))
#define mod ((int)(1e9+7))
#define N ((int)(2002))
 
ll n, m, a, b, counter, result, fact[N];
unordered_map<ll,ll> mem;
vector<int> v;
bool used[N];

ll nCr(int n, int r) {
    if (!r) return 1;
    return (fact[n] / (fact[r] * fact[n-r]))%mod;
}

ll rf(int A, int B) {
    if (A==a && B==b) return 1;
    ll counter = 0;
    forN(i,1,n+1) if (!used[i]) {
        if (A<a && v.size()+1 < i) {
            v.pb(i);
            used[i] = true;
            counter += rf(A+1, B);
            used[i] = false;
            v.pop_back();
        }
        if (B<b && v.size()+1 > i) {
            v.pb(i);
            used[i] = true;
            counter += rf(A, B+1);
            used[i] = false;
            v.pop_back();
        } 
        counter %= mod;
    }
    return counter % mod;
}
 
void solve() {
    cin >> m >> a >> b;
    if (m < a + b || ((!b)&&a) || ((!a)&&b)) {
        cout << "0" << endl;
        return;
    }
    if (a > b) swap(a,b);
    n = a + b;
 
    ll hash = n+a*1000LL+b*1000000LL;
    ll comb = nCr(m,m-n);
    comb = comb*comb*fact[m-n]*fact[n];
    
    if (mem.find(hash) != mem.end()) {
        cout << mem[hash]*comb << endl;
        return;
    }

    v.clear();
    counter = rf(0, 0);

    if (!counter) counter=1;
    result = (counter*comb) % mod;
    mem[hash] = counter;
    cout << result << endl;
}
 
int main() {
    cin.tie(0) -> sync_with_stdio(0);
    cout.tie(0);
    fact[0] = fact[1] = 1;
    forN(i,2,N) fact[i] = (i)*fact[i-1];
 
    int t;
    cin >> t;
    while(t--) solve();
}

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
0
0
0

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)