CSES - Datatähti 2025 alku - Results
Submission details
Task:Kortit II
Sender:asonnine
Submission time:2024-11-09 11:12:57 +0200
Language:C++ (C++17)
Status:READY
Result:3
Feedback
groupverdictscore
#1ACCEPTED3
#20
#30
#40
#50
Test results
testverdicttimegroup
#1ACCEPTED0.00 s1, 2, 3, 4, 5details
#20.01 s2, 3, 4, 5details
#3--3, 4, 5details
#4--4, 5details
#5--5details
#6--5details

Compiler report

input/code.cpp: In function 'uint64_t recurse(int, int, int, std::vector<int>)':
input/code.cpp:33:27: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   33 |         for (int i = 0; i < used.size(); i++) {
      |                         ~~^~~~~~~~~~~~~
input/code.cpp: In function 'int calculate(int, int, int)':
input/code.cpp:79:23: warning: suggest parentheses around comparison in operand of '^' [-Wparentheses]
   79 |         if (n==0 || (a==0 xor b==0)) {
      |                      ~^~~

Code

#include <bits/stdc++.h>
using namespace std;

#define out_mod 1000000007

uint64_t recurse(int n, int a_left, int b_left, vector<int> used) {
	//cout << n << " " << a_left << " " << b_left << endl;
	if (n==1) return 0;
	if (a_left==0 && b_left==0 && n==0) return 1;
	if (b_left==0) return 0;
	if (n==2 && a_left==1 && b_left==1) return 1;
	if (n==2) return 0;
	if (n==3 && a_left==2 && b_left==1) return 1;
	if (min(a_left, b_left) != 1 && used.size()==0) {
		if (n <= 3) {
			uint64_t out = 1;
			for (int i = min(a_left, b_left) + 1; i <= n; i++) {
				out = (out * i) % out_mod;
			}
			out = out / 2 + 1;
			return out;
		}
	}
	//cout << "(";
	int out = 0;
	if (used.size() > 0) {
		uint64_t temp = recurse(n-used.size()-1, a_left, b_left - 1, {});
		out += temp;
		//cout << ":" << temp;
	//cout << ";";
	}
	vector<bool> used_numbers(n);
	for (int i = 0; i < used.size(); i++) {
		used_numbers[used[i]] = true;
	}
	if (used.size() > 0){
		for (int i = 1; i < used.back(); i++) {
			if (!used_numbers[i]){
				used.push_back(i);
				uint64_t temp = recurse(n, a_left, b_left-1, used);
				out += temp;
				//cout << "-" << i << ":" << temp;
				used.pop_back();
	//cout << ";";
			}
		}
		if (a_left>0) {
			for (int i = used.back() + 1; i < n; i++) {
				if (!used_numbers[i]){
					used.push_back(i);
					uint64_t temp = recurse(n, a_left-1, b_left, used);
					out += temp;
					//cout << "-" << i << ":" << temp;
					used.pop_back();
	//cout << ";";
				}
			}
		}
	} else if (a_left>0) {
		for (int i = 1; i < n; i++) {
			if (!used_numbers[i]){
				used.push_back(i);
				uint64_t temp = recurse(n, a_left-1, b_left, used);
				out += temp;
				//cout << ":" << temp;
				used.pop_back();
	//cout << ";";
			}
		}
	}
	//cout << ")";
	
	return out;
}

int calculate(int n, int a, int b) {
	int draws = n-a-b;
	//cout << draws;
	if (n==0 || (a==0 xor b==0)) {
		cout << "0\n";
		return 0;
	}
	if (draws < 0) {
		cout << "0\n";
		return 0;
	}
	if (draws == n-1) {
		cout << "0\n";
		return 0;
	}
	
	uint64_t out = recurse(n - draws, max(a,b), min(a,b), {});
	//cout << endl;
	
	int k = draws;
	int s = n-k;
	
	//n!n!/k!s!
	for (int i = min(k,s) + 1; i <= max(k,s); i++) {
		out = (out * i) % out_mod;
	}
	for (int i = max(k,s) + 1; i <= n; i++) {
		out = (out * i * i) % out_mod;
	}

	cout << out << "\n";
	
	return 0;
}

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

	for (int i = 0; i < t; i++) {
		int n,a,b;
		cin >> n >> a >> b;
		calculate(n,a,b);
	}
	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:

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)