Artifact 5157fbd0866d284ead02a7e745c0e87c41ca37ec
#include <iostream>
#include <sstream>
#include <iomanip>
#include <vector>
#include <string>
#include <map>
#include <set>
#include <algorithm>
#include <numeric>
#include <iterator>
#include <functional>
#include <complex>
#include <queue>
#include <stack>
#include <cmath>
#include <cassert>
#include <tuple>
using namespace std;
typedef long long LL;
typedef complex<double> CMP;
unsigned MODVAL = 1000000007;
struct mint
{
unsigned val;
mint():val(0){}
mint(int x):val(x%MODVAL) {}
mint(unsigned x):val(x%MODVAL) {}
mint(LL x):val(x%MODVAL) {}
};
mint& operator+=(mint& x, mint y) { return x = x.val+y.val; }
mint& operator-=(mint& x, mint y) { return x = x.val-y.val+MODVAL; }
mint& operator*=(mint& x, mint y) { return x = LL(x.val)*y.val; }
mint operator+(mint x, mint y) { return x+=y; }
mint operator-(mint x, mint y) { return x-=y; }
mint operator*(mint x, mint y) { return x*=y; }
class PatternLock { public:
int solve(int N, int MOD)
{
MODVAL = MOD;
memo.resize(N+1, vector<int>(N+1, -1));
return (rec(N,N)*2) % MOD;
}
vector<vector<int>> memo;
int rec(int A, int B)
{
if(memo[A][B] != -1)
return memo[A][B];
mint total;
for(int a=0; a<A; ++a)
total += rec(A, B, a);
return memo[A][B] = total.val;
}
int rec(int A, int B, int a)
{
if(A==1 && B==0)
return 1;
mint total;
if(B) total += rec(B, A-1);
if(a>0) total += rec(A-1, B, a-1);
if(a!=A-1) total += rec(A-1, B, a);
return total.val;
}
};
// BEGIN CUT HERE
#include <ctime>
double start_time; string timer()
{ ostringstream os; os << " (" << int((clock()-start_time)/CLOCKS_PER_SEC*1000) << " msec)"; return os.str(); }
template<typename T> ostream& operator<<(ostream& os, const vector<T>& v)
{ os << "{ ";
for(typename vector<T>::const_iterator it=v.begin(); it!=v.end(); ++it)
os << '\"' << *it << '\"' << (it+1==v.end() ? "" : ", "); os << " }"; return os; }
void verify_case(const int& Expected, const int& Received) {
bool ok = (Expected == Received);
if(ok) cerr << "PASSED" << timer() << endl; else { cerr << "FAILED" << timer() << endl;
cerr << "\to: \"" << Expected << '\"' << endl << "\tx: \"" << Received << '\"' << endl; } }
#define CASE(N) {cerr << "Test Case #" << N << "..." << flush; start_time=clock();
#define END verify_case(_, PatternLock().solve(N, MOD));}
int main(){
/*
CASE(0)
int N = 1;
int MOD = 12345667;
int _ = 2;
END
*/
CASE(1)
int N = 2;
int MOD = 324124124;
int _ = 24;
END
CASE(2)
int N = 3;
int MOD = 5325352;
int _ = 504;
END
CASE(3)
int N = 500;
int MOD = 1000000007;
int _ = 286169049;
END
/*
CASE(4)
int N = ;
int MOD = ;
int _ = ;
END
CASE(5)
int N = ;
int MOD = ;
int _ = ;
END
*/
}
// END CUT HERE