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#include<cstring>
#include<iostream>
#include<fstream>
#include<sstream>
#include<cstdlib>
#include<algorithm>
#include<string>
#include<cstdio>
#include<cmath>
#include<ctime>
#include<cstring>
#include<queue>
#include<stack>
#include<set>
#include<vector>
#include<memory>
#include<map>
#include<list>
#include<limits>
#include<deque>
#include<numeric>
#include<hash_map>
#include<bitset>
#include<functional>
using namespace std;
const int MAXN=1005;
const int MOD=1000000000+7;
int N;
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