#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #define fi first #define se second #define rep(i,n) for(int i = 0; i < (n); ++i) #define rrep(i,n) for(int i = 1; i <= (n); ++i) #define drep(i,n) for(int i = (n)-1; i >= 0; --i) #define gep(i,g,j) for(int i = g.head[j]; i != -1; i = g.e[i].next) #define each(it,c) for(__typeof((c).begin()) it=(c).begin();it!=(c).end();it++) #define rng(a) a.begin(),a.end() #define maxs(x,y) x = max(x,y) #define mins(x,y) x = min(x,y) #define pb push_back #define sz(x) (int)(x).size() #define pcnt __builtin_popcount #define snuke srand((unsigned)clock()+(unsigned)time(NULL)); #define df(x) int x = in() #define dame { puts("0"); return 0;} using namespace std; typedef long long int ll; typedef pair P; typedef vector vi; typedef vector vvi; typedef vector vl; typedef vector

vp; inline int in() { int x; scanf("%d",&x); return x;} inline void priv(vi a) { rep(i,sz(a)) printf("%d%c",a[i],i==sz(a)-1?'\n':' ');} templateistream& operator>>(istream&i,vector&v){for(T&x:v)i>>x;return i;} templatestring join(vector&v){stringstream s;for(T&x:v)s<<' '<ostream& operator<<(ostream&o,vector&v){if(sz(v))o<>a; const int mod = 1'000'000'007; while (sz(a) > 1) { vi p; swap(a,p); rep(i,sz(p)-1) { a.pb((p[i]+p[i+1])%mod); } } cout<