#include #define ADD(a, b) a = (a + ll(b)) % mod #define MUL(a, b) a = (a * ll(b)) % mod #define MAX(a, b) a = max(a, b) #define MIN(a, b) a = min(a, b) #define rep(i, a, b) for(int i = int(a); i < int(b); i++) #define rer(i, a, b) for(int i = int(a) - 1; i >= int(b); i--) #define all(a) (a).begin(), (a).end() #define sz(v) (int)(v).size() #define pb push_back #define sec second #define fst first #define debug(fmt, ...) Debug(__LINE__, ":", fmt, ##__VA_ARGS__) using namespace std; typedef long long ll; typedef unsigned long long ull; typedef pair pi; typedef pair pl; typedef pair ppi; typedef vector vi; typedef vector vl; typedef vector mat; typedef complex comp; void Debug() {cout << '\n'; } templatevoid Debug(FIRST arg, REST... rest){ cout<ostream& operator<<(ostream& out,const vector& v) { out<<"[";if(!v.empty()){rep(i,0,sz(v)-1)out<ostream& operator<<(ostream& out,const pair& v){ out<<"("<> N; for(int i = 1; i <= N; i++) { add(1, 1, i, i, 0, 1); } for(int i = 1; i <= N; i++) { for(int j = 1; j <= N; j++) { for(int k = 0; k < 2; k++) { ADD(dp[i][j][k], dp[i][j - 1][k] + dp[i - 1][j][k] - dp[i - 1][j - 1][k] + mod); } if(N == i) continue; //k = 0 int at = N + i - j; add(i + 1, min(at, N), j + 1, N, 0, dp[i][j][0]); add(min(at, N), min(at, N), j, j, 1, dp[i][j][0]); //k = 1 add(i + 1, i + 1, j + 1, N, 0, dp[i][j][1]); add(i + 1, i + 1, j - 1, j, 1, dp[i][j][1]); } } ll res = 0; for(int i = 1; i <= N; i++) { rep(k, 0, 2) { ADD(res, dp[N][i][k]); } } cout << res << "\n"; } int main() { #ifndef LOCAL ios::sync_with_stdio(false); cin.tie(0); #endif cout << fixed; cout.precision(20); srand((unsigned int)time(NULL)); #ifdef LOCAL //freopen("in.txt", "wt", stdout); //for tester freopen("in.txt", "rt", stdin); #endif solve(); #ifdef LOCAL cerr << "Time elapsed: " << 1.0 * clock() / CLOCKS_PER_SEC << " s.\n"; #endif return 0; }