P3792 由乃与大母神原型和偶像崇拜

#include<bits/stdc++.h>
#define Tp template<typename Ty>
#define Ts template<typename Ty,typename... Ar>
#define W while
#define I inline
#define RI register int
#define LL long long
#define Cn const
#define CI Cn int&
#define gc getchar
#define D isdigit(c=gc())
#define pc(c) putchar((c))
using namespace std;
namespace Debug{
    Tp I void _debug(Cn char* f,Ty t){cerr<<f<<'='<<t<<endl;}
    Ts I void _debug(Cn char* f,Ty x,Ar... y){W(*f!=',') cerr<<*f++;cerr<<'='<<x<<",";_debug(f+1,y...);}
    Tp ostream& operator<<(ostream& os,Cn vector<Ty>& V){os<<"[";for(Cn auto& vv:V) os<<vv<<",";os<<"]";return os;}
    #define gdb(...) _debug(#__VA_ARGS__,__VA_ARGS__)
}using namespace Debug;
namespace FastIO{
    Tp I void read(Ty& x){char c;int f=1;x=0;W(!D) f=c^'-'?1:-1;W(x=(x<<3)+(x<<1)+(c&15),D);x*=f;}
    Ts I void read(Ty& x,Ar&... y){read(x),read(y...);}
    Tp I void write(Ty x){x<0&&(pc('-'),x=-x,0),x<10?(pc(x+'0'),0):(write(x/10),pc(x%10+'0'),0);}
    Tp I void writeln(Cn Ty& x){write(x),pc('\n');}
}using namespace FastIO;
Cn int N=5e5+10;
int n,m,a[N],b[N<<1],cnt,rt[N<<1];
set<int> v[N<<1];
struct Que{int opt,l,r;}q[N];
class SegmentTree{
    private:
        int T[N<<2],Mx[N<<2],Mn[N<<2];
        #define mid (l+r>>1)
        #define PT CI x=1,CI l=1,CI r=n
        #define LT x<<1,l,mid
        #define RT x<<11,mid+1,r
        #define PU(x) (T[x]=max(T[x<<1],T[x<<11]),Mx[x]=max(Mx[x<<1],Mx[x<<11]),Mn[x]=min(Mn[x<<1],Mn[x<<11]))
    public:
        I void U(CI p,CI v,PT){
            if(l==r) return void(T[x]=v);
            p<=mid?U(p,v,LT):U(p,v,RT),PU(x);
        }
        I void UU(CI p,CI v,PT){
            if(l==r) return void(Mx[x]=Mn[x]=v);
            p<=mid?UU(p,v,LT):UU(p,v,RT),PU(x); 
        }
        I int Q(CI L,CI R,PT){
            if(L<=l&&r<=R) return T[x];
            RI S=0;return L<=mid&&(S=max(S,Q(L,R,LT))),R>mid&&(S=max(S,Q(L,R,RT))),S;
        }
        I int QM(CI L,CI R,PT){
            if(L<=l&&r<=R) return Mx[x];
            RI S=0;return L<=mid&&(S=max(S,QM(L,R,LT))),R>mid&&(S=max(S,QM(L,R,RT))),S;
        }
        I int QN(CI L,CI R,PT){
            if(L<=l&&r<=R) return Mn[x];
            RI S=2e9;return L<=mid&&(S=min(S,QN(L,R,LT))),R>mid&&(S=min(S,QN(L,R,RT))),S;
        }
}T;
I void U(CI x,CI y){
    RI flg=0;auto t=v[a[x]].lower_bound(x),p=t,s=t;++s;
    if(p!=v[a[x]].begin()) flg=1,p--;
    if(flg&&s!=v[a[x]].end()) T.U(*s,*p),T.U(*t,0);else if(flg) T.U(*t,0);
    else if(s!=v[a[x]].end()) T.U(*s,0),T.U(*t,0);else T.U(*t,0);
    v[a[x]].erase(t);
    v[y].insert(x),flg=0;t=v[y].lower_bound(x),p=t,s=t;++s;
    if(p!=v[y].begin()) flg=1,p--;
    if(flg&&s!=v[y].end()) T.U(*s,*p),T.U(*t,*p);else if(flg) T.U(*t,*p);
    else if(s!=v[y].end()) T.U(*s,*t),T.U(*t,0);else T.U(*t,0);a[x]=y,T.UU(x,y);
}
I int Q(CI l,CI r){return r-l==T.QM(l,r)-T.QN(l,r)&&T.Q(l,r)<l;}
int main(){
//    freopen("P3792.in","r",stdin),freopen("P3792.out","w",stdout);
    RI i;for(read(n,m),i=1;i<=n;i++) read(a[i]),b[++cnt]=a[i];
    for(i=1;i<=m;i++) read(q[i].opt,q[i].l,q[i].r),q[i].opt&1&&(b[++cnt]=q[i].r);
    #define LW(x) lower_bound(b+1,b+cnt+1,x)-b
    for(sort(b+1,b+cnt+1),cnt=unique(b+1,b+cnt+1)-b-1,i=1;i<=n;i++) v[a[i]=LW(a[i])].size()&&(T.U(i,*v[a[i]].rbegin()),0),v[a[i]].insert(i),T.UU(i,a[i]);
    for(i=1;i<=m;i++) q[i].opt&1?U(q[i].l,LW(q[i].r)):void(puts(Q(q[i].l,q[i].r)?"damushen":"yuanxing"));return 0;
}