//#include #include "bits/stdc++.h" using namespace std; typedef long long ll; /* #include "boost/multiprecision/cpp_int.hpp" #include "boost/multiprecision/cpp_dec_float.hpp" namespace mp = boost::multiprecision; typedef mp::cpp_int LL; typedef mp::number> DD;// 仮数部が1024ビットの浮動小数点数型(TLEしたら小さくする) */ typedef long double dd; #define i_7 (ll)(1E9+7) //#define i_7 998244353 #define i_5 i_7-2 ll mod(ll a){ ll c=a%i_7; if(c>=0)return c; return c+i_7; } typedef pair l_l; typedef pair d_d; ll inf=(ll)1E16; #define rep(i,l,r) for(ll i=l;i<=r;i++) #define rrep(i,r,l) for(ll i=r;i>=l;i--) #define pb push_back ll max(ll a,ll b){if(ab)return b;else return a;} void Max(ll &pos,ll val){pos=max(pos,val);}//Max(dp[n],dp[n-1]); void Min(ll &pos,ll val){pos=min(pos,val);} void Add(ll &pos,ll val){pos=mod(pos+val);} dd EPS=1E-9; #define fastio ios::sync_with_stdio(false); cin.tie(0); cout.tie(0); #define fi first #define se second #define endl "\n" //インタラクティブで消す!!!!!!!!!!!!!!!!!!!!! #define SORT(v) sort(v.begin(),v.end()) #define ERASE(v) v.erase(unique(v.begin(),v.end()),v.end()) #define POSL(v,x) (lower_bound(v.begin(),v.end(),x)-v.begin()) #define POSU(v,x) (upper_bound(v.begin(),v.end(),x)-v.begin()) template inline bool chmax(T &a, S b) { if(a < b) { a = b; return true; } return false; } template inline bool chmin(T &a, S b) { if(a > b) { a = b; return true; } return false; } void mod_print(ll k){ ll P=1000; rep(y,1,P){ ll x=mod(y*k); if(x+P>=i_7){ x-=i_7; } if(abs(x)<=P){ //cout<