#include #include #include #include #include #include #include #include #include #include #define mkp make_pair #define mkt make_tuple #define rep(i,n) for(int i = 0; i < (n); ++i) #define all(v) v.begin(),v.end() using namespace std; typedef long long ll; const ll MOD=1e9+7; template void chmin(T &a,const T &b){if(a>b) a=b;} template void chmax(T &a,const T &b){if(a>S; int N=S.size(); dp[0][0][0][0]=1; for(int i=0;i