#include using namespace std; #define rep(i, n) for(long long i=0;i<(long long)(n);i++) #define REP(i,k,n) for(long long i=k;i<(long long)(n);i++) #define all(a) a.begin(),a.end() #define rsort(a) {sort(all(a));reverse(all(a));} #define pb emplace_back #define eb emplace_back #define lb(v,k) (lower_bound(all(v),(k))-v.begin()) #define ub(v,k) (upper_bound(all(v),(k))-v.begin()) #define fi first #define se second #define pi M_PI #define PQ(T) priority_queue #define SPQ(T) priority_queue,greater> #define dame(a) {out(a);return 0;} #define decimal cout< P; typedef tuple PP; typedef tuple PPP; typedef multiset S; using vi=vector; using vvi=vector; using vvvi=vector; using vvvvi=vector; using vp=vector

; using vvp=vector; using vb=vector; using vvb=vector; const ll inf=1001001001001001001; const ll INF=1001001001; const ll mod=1000000007; const double eps=1e-10; template bool chmin(T&a,T b){if(a>b){a=b;return true;}return false;} template bool chmax(T&a,T b){if(a void out(T a){cout< void outp(T a){cout<<'('< void outvp(T v){rep(i,v.size())cout<<'('< void outvvp(T v){rep(i,v.size())outvp(v[i]);} template void outv(T v){rep(i,v.size()){if(i)cout<<' ';cout< void outvv(T v){rep(i,v.size())outv(v[i]);} template bool isin(T x,T l,T r){return (l)<=(x)&&(x)<=(r);} template void yesno(T b){if(b)out("yes");else out("no");} template void YesNo(T b){if(b)out("Yes");else out("No");} template void YESNO(T b){if(b)out("YES");else out("NO");} template void noyes(T b){if(b)out("no");else out("yes");} template void NoYes(T b){if(b)out("No");else out("Yes");} template void NOYES(T b){if(b)out("NO");else out("YES");} void outs(ll a,ll b){if(a>=inf-100)out(b);else out(a);} ll gcd(ll a,ll b){if(b==0)return a;return gcd(b,a%b);} ll modpow(ll a,ll b){ll res=1;a%=mod;while(b){if(b&1)res=res*a%mod;a=a*a%mod;b>>=1;}return res;} inline ll readll() { ll x = 0; char ch = getchar_unlocked(); while (ch < '0' || ch > '9') ch = getchar_unlocked(); while (ch >= '0' && ch <= '9'){ x = (x << 3) + (x << 1) + ch - '0'; ch = getchar_unlocked(); } return x; } class segtree{ vi seg;ll N=1; public: ll g=0; ll f(ll a,ll b){ return a+b; } segtree(ll n,ll k){ while(N=0;i--)seg[i]=f(seg[i*2+1],seg[i*2+2]); } segtree(vi v){ while(N=0;i--)seg[i]=f(seg[i*2+1],seg[i*2+2]); } void change(ll i){ i+=N-1; seg[i]=1-seg[i]; while(i>0){ i=(i-1)/2; seg[i]=f(seg[i*2+1],seg[i*2+2]); } } ll get(ll a,ll b,ll k=0,ll l=0,ll r=-1){ if(r==-1)r=N; if(a<=l&&r<=b)return seg[k]; if(r<=a||b<=l)return g; return f(get(a,b,k*2+1,l,(l+r)/2),get(a,b,k*2+2,(l+r)/2,r)); } void debug(ll n){ rep(i,n)cout<<' '<