結果
問題 | No.2933 Range ROT Query |
ユーザー | vwxyz |
提出日時 | 2024-10-12 16:24:38 |
言語 | PyPy3 (7.3.15) |
結果 |
AC
|
実行時間 | 1,089 ms / 3,000 ms |
コード長 | 26,826 bytes |
コンパイル時間 | 366 ms |
コンパイル使用メモリ | 82,304 KB |
実行使用メモリ | 137,600 KB |
最終ジャッジ日時 | 2024-10-12 16:25:27 |
合計ジャッジ時間 | 47,132 ms |
ジャッジサーバーID (参考情報) |
judge3 / judge1 |
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テストケース
テストケース表示入力 | 結果 | 実行時間 実行使用メモリ |
---|---|---|
testcase_00 | AC | 56 ms
60,288 KB |
testcase_01 | AC | 56 ms
60,288 KB |
testcase_02 | AC | 55 ms
60,544 KB |
testcase_03 | AC | 57 ms
60,160 KB |
testcase_04 | AC | 64 ms
67,328 KB |
testcase_05 | AC | 63 ms
60,800 KB |
testcase_06 | AC | 64 ms
67,712 KB |
testcase_07 | AC | 68 ms
67,968 KB |
testcase_08 | AC | 57 ms
60,416 KB |
testcase_09 | AC | 62 ms
66,688 KB |
testcase_10 | AC | 66 ms
67,968 KB |
testcase_11 | AC | 62 ms
66,560 KB |
testcase_12 | AC | 956 ms
137,216 KB |
testcase_13 | AC | 946 ms
137,088 KB |
testcase_14 | AC | 920 ms
137,216 KB |
testcase_15 | AC | 897 ms
137,088 KB |
testcase_16 | AC | 922 ms
137,344 KB |
testcase_17 | AC | 945 ms
137,472 KB |
testcase_18 | AC | 948 ms
137,216 KB |
testcase_19 | AC | 979 ms
137,216 KB |
testcase_20 | AC | 943 ms
137,472 KB |
testcase_21 | AC | 821 ms
137,600 KB |
testcase_22 | AC | 810 ms
137,088 KB |
testcase_23 | AC | 814 ms
137,216 KB |
testcase_24 | AC | 953 ms
137,088 KB |
testcase_25 | AC | 932 ms
137,088 KB |
testcase_26 | AC | 1,036 ms
137,344 KB |
testcase_27 | AC | 1,034 ms
137,216 KB |
testcase_28 | AC | 1,040 ms
137,344 KB |
testcase_29 | AC | 1,026 ms
137,216 KB |
testcase_30 | AC | 1,006 ms
137,344 KB |
testcase_31 | AC | 1,041 ms
137,472 KB |
testcase_32 | AC | 968 ms
133,504 KB |
testcase_33 | AC | 1,078 ms
125,056 KB |
testcase_34 | AC | 1,021 ms
124,508 KB |
testcase_35 | AC | 765 ms
125,312 KB |
testcase_36 | AC | 1,089 ms
126,592 KB |
testcase_37 | AC | 775 ms
123,904 KB |
testcase_38 | AC | 775 ms
135,168 KB |
testcase_39 | AC | 1,005 ms
127,360 KB |
testcase_40 | AC | 913 ms
126,592 KB |
testcase_41 | AC | 971 ms
135,680 KB |
testcase_42 | AC | 851 ms
107,264 KB |
testcase_43 | AC | 999 ms
108,160 KB |
testcase_44 | AC | 990 ms
124,416 KB |
testcase_45 | AC | 921 ms
135,064 KB |
testcase_46 | AC | 977 ms
123,904 KB |
testcase_47 | AC | 974 ms
123,776 KB |
testcase_48 | AC | 772 ms
134,016 KB |
testcase_49 | AC | 946 ms
134,528 KB |
testcase_50 | AC | 805 ms
126,336 KB |
testcase_51 | AC | 1,021 ms
132,224 KB |
ソースコード
from collections import defaultdict class Segment_Tree: def __init__(self,N,f,e,lst=None,dynamic=False,bisect_search=True): self.f=f self.e=e self.N=N self.bisect_search=bisect_search if self.bisect_search: self.le=1 while self.le<self.N: self.le*=2 else: self.le=self.N if dynamic: self.segment_tree=defaultdict(lambda:self.e) else: if lst==None: self.segment_tree=[self.e]*2*self.le else: assert len(lst)<=self.N self.segment_tree=[self.e]*self.le+[x for x in lst]+[self.e]*(self.le-len(lst)) for i in range(self.le-1,0,-1): self.segment_tree[i]=self.f(self.segment_tree[i<<1],self.segment_tree[i<<1|1]) def __getitem__(self,i): if type(i)==int: if -self.le<=i<0: return self.segment_tree[i+self.le*2] elif 0<=i<self.le: return self.segment_tree[i+self.le] else: raise IndexError("list index out of range") else: a,b,c=i.start,i.stop,i.step if a==None: a=self.le else: a+=self.le if b==None: b=self.le*2 else: b+=self.le return self.segment_tree[slice(a,b,c)] def __setitem__(self,i,x): if -self.le<=i<0: i+=self.le*2 elif 0<=i<self.le: i+=self.le else: raise IndexError("list index out of range") self.segment_tree[i]=x while i>1: i>>= 1 self.segment_tree[i]=self.f(self.segment_tree[i<<1],self.segment_tree[i<<1|1]) def Build(self,lst): for i,x in enumerate(lst,self.le): self.segment_tree[i]=x for i in range(self.le-1,0,-1): self.segment_tree[i]=self.f(self.segment_tree[i<<1],self.segment_tree[i<<1|1]) def Fold(self,L=None,R=None): if L==None: L=self.le else: assert 0<=L<=self.N L+=self.le if R==None: R=self.le*2 else: assert 0<=R<=self.N R+=self.le vL=self.e vR=self.e while L<R: if L&1: vL=self.f(vL,self.segment_tree[L]) L+=1 if R&1: R-=1 vR=self.f(self.segment_tree[R],vR) L>>=1 R>>=1 return self.f(vL,vR) def Fold_Index(self,L=None,R=None): if L==None: L=self.le else: assert 0<=L<=self.N L+=self.le if R==None: R=self.le*2 else: assert 0<=R<=self.N R+=self.le if L==R: return None x=self.Fold(L-self.le,R-self.le) while L<R: if L&1: if self.segment_tree[L]==x: i=L break L+=1 if R&1: R-=1 if self.segment_tree[R]==x: i=R break L>>=1 R>>=1 while i<self.le: if self.segment_tree[i]==self.segment_tree[i<<1]: i<<=1 else: i<<=1 i|=1 i-=self.le return i def Bisect_Right(self,L=None,f=None): assert self.bisect_search if L==self.le: return self.le if L==None: L=0 assert 0<=L<=self.N L+=self.le vl=self.e vr=self.e l,r=L,self.le*2 while l<r: if l&1: vl=self.f(vl,self.segment_tree[l]) l+=1 if r&1: r-=1 vr=self.f(self.segment_tree[r],vr) l>>=1 r>>=1 if f(self.f(vl,vr)): return self.N v=self.e while True: while L%2==0: L>>=1 vv=self.f(v,self.segment_tree[L]) if f(vv): v=vv L+=1 else: while L<self.le: L<<=1 vv=self.f(v,self.segment_tree[L]) if f(vv): v=vv L+=1 return L-self.le def Bisect_Left(self,R=None,f=None): assert self.bisect_search if R==0: return 0 if R==None: R=self.le assert 0<=R<=self.N R+=self.le vl=self.e vr=self.e l,r=self.le,R while l<r: if l&1: vl=self.f(vl,self.segment_tree[l]) l+=1 if r&1: r-=1 vr=self.f(self.segment_tree[r],vr) l>>=1 r>>=1 if f(self.f(vl,vr)): return 0 v=self.e while True: R-=1 while R>1 and R%2: R>>=1 vv=self.f(self.segment_tree[R],v) if f(vv): v=vv else: while R<self.le: R=2*R+1 vv=self.f(self.segment_tree[R],v) if f(vv): v=vv R-=1 return R+1-self.le def __str__(self): return "["+", ".join(map(str,[self.segment_tree[i] for i in range(self.le,self.le+self.N)]))+"]" def __repr__(self): return "Segment_Tree("+str(self)+")" class Segment_Tree_2d: def __init__(self,N,M,f,e,lst=None,dynamic=False): self.N=N self.M=M self.f=f self.e=e if dynamic: self.segment_tree=defaultdict(lambda:defaultdict(lambda:e)) else: if lst==None: self.segment_tree=[[self.e]*2*self.M for i in range(2*self.N)] else: assert len(lst)<=self.N assert all(len(lst[i])<=self.M for i in range(self.N)) self.segment_tree=[[self.e]*2*self.M for i in range(self.N)]+[[self.e]*self.M+lst[i]+[self.e]*(self.M-len(lst[i])) for i in range(len(lst))]+[[self.e]*2*self.M for i in range(self.N-len(lst))] for i in range(self.N-1,0,-1): for j in range(2*self.M-1,self.M-1,-1): self.segment_tree[i][j]=self.f(self.segment_tree[i<<1][j],self.segment_tree[i<<1|1][j]) for i in range(2*self.N-1,-1,-1): for j in range(self.M-1,0,-1): self.segment_tree[i][j]=self.f(self.segment_tree[i][j<<1],self.segment_tree[i][j<<1|1]) def __getitem__(self,tpl): i,j=tpl i+=self.N j+=self.M return self.segment_tree[i][j] def __setitem__(self,tpl,x): i,j=tpl i+=self.N j+=self.M self.segment_tree[i][j]=x idxN=[i] idxM=[j] while i>1: i>>=1 idxN.append(i) while j>1: j>>=1 idxM.append(j) i=idxN[0] for j in idxM[1:]: self.segment_tree[i][j]=self.f(self.segment_tree[i][j<<1],self.segment_tree[i][j<<1|1]) for i in idxN[1:]: for j in idxM: self.segment_tree[i][j]=self.f(self.segment_tree[i<<1][j],self.segment_tree[i<<1|1][j]) def Build(self,lst): assert len(lst)<=self.N assert all(len(lst[i] for i in range(self.N))<=self.M) for i in range(len(lst)): for j in range(len(lst[i])): self.segment_tree[i+self.N][j+self.M]=lst[i][j] for i in range(self.N-1,0,-1): for j in range(2*self.M-1,self.M-1,-1): self.segment_tree[i][j]=self.f(self.segment_tree[i<<1][j],self.segment_tree[i<<1|1][j]) for i in range(2*self.N-1,-1,-1): for j in range(self.M-1,0,-1): self.segment_tree[i][j]=self.f(self.segment_tree[i][j<<1],self.segment_tree[i][j<<1|1]) def Fold(self,LN=None,RN=None,LM=None,RM=None): LN+=self.N RN+=self.N LM+=self.M RM+=self.M idxN=[] idxM=[] while LN<RN: if LN&1: idxN.append(LN) LN+=1 if RN&1: RN-=1 idxN.append(RN) LN>>=1 RN>>=1 while LM<RM: if LM&1: idxM.append(LM) LM+=1 if RM&1: RM-=1 idxM.append(RM) LM>>=1 RM>>=1 retu=self.e for i in idxN: for j in idxM: retu=self.f(retu,self.segment_tree[i][j]) return retu def Fold_Index(self,LN=None,RN=None,LM=None,RM=None): if LN==None: LN=self.N else: LN+=self.N if RN==None: RN=self.N*2 else: RN+=self.N if LM==None: LM=self.M else: LM+=self.M if RM==None: RM=self.M*2 else: RM+=self.M if LN==RN and LM==RM: return None idxN=[] idxM=[] while LN<RN: if LN&1: idxN.append(LN) LN+=1 if RN&1: RN-=1 idxN.append(RN) LN>>=1 RN>>=1 while LM<RM: if LM&1: idxM.append(LM) LM+=1 if RM&1: RM-=1 idxM.append(RM) LM>>=1 RM>>=1 v=self.e for i in idxN: for j in idxM: v=self.f(v,self.segment_tree[i][j]) for i in idxN: for j in idxM: if v==self.f(v,self.segment_tree[i][j]): break else: continue break while i<self.N: if self.segment_tree[i<<1][j]==v: i<<=1 else: i<<=1 i|=1 while j<self.M: if self.segment_tree[i][j<<1]==v: j<<=1 else: j<<=1 j|=1 return i,j def __str__(self): m=max(len(str(self.segment_tree[i][j])) for i in range(self.N,self.N*2) for j in range(self.M,self.M*2)) return "\n".join(["["+", ".join(map(lambda s:" "*(m-len(str(s)))+str(s),self.segment_tree[i][self.M:]))+"]" for i in range(self.N,self.N*2)]) def __repr__(self): return "Segment_Tree_2d(\n"+str(self)+")" class Dual_Segment_Tree: def __init__(self,N,f_act,e_act,operate,lst): self.N=N self.f_act=f_act self.e_act=e_act self.operate=operate self.lst=[None]*self.N for i,x in enumerate(lst): self.lst[i]=x self.segment_tree_act=[self.e_act]*(self.N+self.N) def __getitem__(self,i): if type(i) is int: if -self.N<=i<0: i+=self.N*2 elif 0<=i<self.N: i+=self.N else: raise IndexError("list index out of range") self.Propagate_Above(i) return self.Operate_At(i) else: a,b,c=i.start,i.stop,i.step if a==None or a<-self.N: a=0 elif self.N<=a: a=self.N elif a<0: a+=self.N if b==None or self.N<=b: b=self.N elif b<-self.N: b=0 elif b<0: b+=self.N return self.lst[slice(a,b,c)] def Operate_At(self,i): return self.operate(self.lst[i-self.N],self.segment_tree_act[i]) def Propagate_At(self,i): self.segment_tree_act[i<<1]=self.f_act(self.segment_tree_act[i<<1],self.segment_tree_act[i]) self.segment_tree_act[i<<1|1]=self.f_act(self.segment_tree_act[i<<1|1],self.segment_tree_act[i]) self.segment_tree_act[i]=self.e_act def Propagate_Above(self,i): H=i.bit_length()-1 for h in range(H,0,-1): self.Propagate_At(i>>h) def Operate_Range(self,a,L=None,R=None): if L==None: L=self.N else: L+=self.N if R==None: R=self.N*2 else: R+=self.N L0=L//(L&-L) R0=R//(R&-R)-1 self.Propagate_Above(L0) self.Propagate_Above(R0) while L<R: if L&1: self.segment_tree_act[L]=self.f_act(self.segment_tree_act[L],a) L+=1 if R&1: R-=1 self.segment_tree_act[R]=self.f_act(self.segment_tree_act[R],a) L>>=1 R>>=1 def Update(self): for i in range(1,self.N): self.Propagate_At(i) self.segment_tree_act[i]=self.e_act def __str__(self): import copy segment_tree_act=copy.deepcopy(self.segment_tree_act) for i in range(1,self.N): segment_tree_act[i<<1]=self.f_act(segment_tree_act[i<<1],segment_tree_act[i]) segment_tree_act[i<<1|1]=self.f_act(segment_tree_act[i<<1|1],segment_tree_act[i]) segment_tree_act[i]=self.e_act segment_tree_act[i]=self.e_act return "["+", ".join(map(str,[self.operate(x,a) for x,a in zip(self.lst,segment_tree_act[self.N:])]))+"]" def __repr__(self): return "Dual_Segment_Tree("+str(self)+")" class Lazy_Segment_Tree: def __init__(self,N,f,e,f_act,e_act,operate,lst=None,bisect_search=True): self.N=N self.f=f self.e=e self.f_act=f_act self.e_act=e_act self.operate=operate self.bisect_search=bisect_search if self.bisect_search: self.le=1 while self.le<self.N: self.le*=2 else: self.le=self.N self.segment_tree=[self.e]*(self.le+self.le) self.segment_tree_act=[self.e_act]*(self.le+self.le) if lst!=None: for i,x in enumerate(lst): self.segment_tree[i+self.le]=x for i in range(self.le-1,0,-1): self.segment_tree[i]=self.f(self.segment_tree[i<<1],self.segment_tree[i<<1|1]) self.segment_tree_act=[self.e_act]*(self.le+self.le) def __getitem__(self,i): if type(i) is int: if -self.le<=i<0: i+=self.le*2 elif 0<=i<self.le: i+=self.le else: raise IndexError("list index out of range") self.Propagate_Above(i) self.Recalculate_Above(i) return self.Operate_At(i) else: a,b,c=i.start,i.stop,i.step if a==None or a<-self.le: a=self.le elif self.le<=a: a=self.le*2 elif a<0: a+=self.le*2 else: a+=self.le if b==None or self.le<=b: b=self.le*2 elif b<-self.le: b=self.le elif b<0: b+=self.le*2 else: b+=self.le return self.segment_tree[slice(a,b,c)] def __setitem__(self,i,x): if -self.le<=i<0: i+=self.le*2 elif 0<=i<self.le: i+=self.le else: raise IndexError("list index out of range") self.Propagate_Above(i) self.segment_tree[i]=x self.segment_tree_act[i]=self.e_act self.Recalculate_Above(i) def Operate_At(self,i): return self.operate(self.segment_tree[i],self.segment_tree_act[i]) def Propagate_At(self,i): self.segment_tree[i]=self.Operate_At(i) self.segment_tree_act[i<<1]=self.f_act(self.segment_tree_act[i<<1],self.segment_tree_act[i]) self.segment_tree_act[i<<1|1]=self.f_act(self.segment_tree_act[i<<1|1],self.segment_tree_act[i]) self.segment_tree_act[i]=self.e_act def Propagate_Above(self,i): H=i.bit_length()-1 for h in range(H,0,-1): self.Propagate_At(i>>h) def Recalculate_Above(self,i): while i>1: i>>=1 self.segment_tree[i]=self.f(self.Operate_At(i<<1),self.Operate_At(i<<1|1)) def Build(self,lst): for i,x in enumerate(lst): self.segment_tree[i+self.le]=x for i in range(self.le-1,0,-1): self.segment_tree[i]=self.f(self.segment_tree[i<<1],self.segment_tree[i<<1|1]) self.segment_tree_act=[self.e_act]*(self.le+self.le) def Fold(self,L=None,R=None): if L==None: L=self.le else: assert 0<=L<=self.le L+=self.le if R==None: R=self.le*2 else: assert 0<=R<=self.le R+=self.le self.Propagate_Above(L//(L&-L)) self.Propagate_Above(R//(R&-R)-1) vL=self.e vR=self.e while L<R: if L&1: vL=self.f(vL,self.Operate_At(L)) L+=1 if R&1: R-=1 vR=self.f(self.Operate_At(R),vR) L>>=1 R>>=1 return self.f(vL,vR) def Fold_Index(self,L=None,R=None): if L==None: L=self.le else: assert 0<=L<=self.le L+=self.le if R==None: R=self.le*2 else: assert 0<=R<=self.le R+=self.le if L==R: return None x=self.Fold(L-self.le,R-self.le) while L<R: if L&1: if self.segment_tree[L]==x: i=L break L+=1 if R&1: R-=1 if self.segment_tree[R]==x: i=R break L>>=1 R>>=1 while i<self.le: if self.segment_tree[i]==self.segment_tree[i<<1]: i<<=1 else: i<<=1 i|=1 i-=self.le return i def Operate_Range(self,a,L=None,R=None): if L==None: L=self.le else: assert 0<=L<=self.le L+=self.le if R==None: R=self.le*2 else: assert 0<=R<=self.le R+=self.le L0=L//(L&-L) R0=R//(R&-R)-1 self.Propagate_Above(L0) self.Propagate_Above(R0) while L<R: if L&1: self.segment_tree_act[L]=self.f_act(self.segment_tree_act[L],a) L+=1 if R&1: R-=1 self.segment_tree_act[R]=self.f_act(self.segment_tree_act[R],a) L>>=1 R>>=1 self.Recalculate_Above(L0) self.Recalculate_Above(R0) def Update(self): for i in range(1,self.le): self.Propagate_At(i) for i in range(self.le,self.le*2): self.segment_tree[i]=self.Operate_At(i) self.segment_tree_act[i]=self.e_act for i in range(self.le-1,0,-1): self.segment_tree[i]=self.f(self.segment_tree[i<<1],self.segment_tree[i<<1|1]) def Bisect_Right(self,L=None,f=None): assert self.bisect_search if L==self.le: return self.le if L==None: L=0 assert 0<=L<=self.le L+=self.le self.Propagate_Above(L//(L&-L)) self.Propagate_Above(self.le//(self.le&-self.le)-1) l,r=L,self.le*2 vl=self.e vr=self.e while l<r: if l&1: vl=self.f(vl,self.Operate_At(l)) l+=1 if r&1: r-=1 vr=self.f(self.Operate_At(r),vr) l>>=1 r>>=1 if f(self.f(vl,vr)): return self.N v=self.e self.Propagate_Above(L) while True: while L%2==0: L>>=1 vv=self.f(v,self.Operate_At(L)) if f(vv): v=vv L+=1 else: while L<self.le: self.Propagate_At(L) L<<=1 vv=self.f(v,self.Operate_At(L)) if f(vv): v=vv L+=1 return L-self.le def Bisect_Left(self,R=None,f=None): if R==0: return 0 if R==None: R=self.le assert 0<=R<=self.le R+=self.le self.Propagate_Above(self.le//(self.le&-self.le)) self.Propagate_Above(R//(R&-R)-1) vl=self.e vr=self.e l,r=self.le,R while l<r: if l&1: vl=self.f(vl,self.Operate_At(l)) l+=1 if r&1: r-=1 vr=self.f(self.Operate_At(r),vr) l>>=1 r>>=1 if f(self.f(vl,vr)): return 0 v=self.e self.Propagate_Above(R-1) while True: R-=1 while R>1 and R%2: R>>=1 vv=self.f(self.Operate_At(R),v) if f(vv): v=vv else: while R<self.le: self.Propagate_At(R) R=(R<<1)|1 vv=self.f(self.Operate_At(R),v) if f(vv): v=vv R-=1 return R+1-self.le def __str__(self): import copy segment_tree=copy.deepcopy(self.segment_tree) segment_tree_act=copy.deepcopy(self.segment_tree_act) for i in range(1,self.le): segment_tree[i]=self.operate(segment_tree[i],segment_tree_act[i]) segment_tree_act[i<<1]=self.f_act(segment_tree_act[i<<1],segment_tree_act[i]) segment_tree_act[i<<1|1]=self.f_act(segment_tree_act[i<<1|1],segment_tree_act[i]) segment_tree_act[i]=self.e_act for i in range(self.le,self.le*2): segment_tree[i]=self.operate(segment_tree[i],segment_tree_act[i]) segment_tree_act[i]=self.e_act for i in range(self.le-1,0,-1): segment_tree[i]=self.f(segment_tree[i<<1],segment_tree[i<<1|1]) return "["+", ".join(map(str,[self.operate(x,a) for x,a in zip(segment_tree[self.le:self.le+self.N],segment_tree_act[self.le:])]))+"]" def __repr__(self): return "Lazy_Segment_Tree("+str(self)+")" class Li_Chao_Tree: def __init__(self,N,X=None,inf=float("inf")): self.N=N if X==None: self.X=[x for x in range(self.N)] else: self.X=X self.idx={x:i for i,x in enumerate(self.X)} self.inf=inf self.li_chao_tree=[(0,self.inf)]*(2*self.N) self.left,self.right=[None]*2*N,[None]*2*N for i in range(self.N,2*self.N): self.left[i]=self.X[i-self.N] self.right[i]=self.X[i-self.N] for i in range(self.N-1,0,-1): self.left[i]=self.left[i<<1] self.right[i]=self.right[i<<1|1] def add_line_one_segment(self,a,b,i): queue=[i] while queue: i=queue.pop() aa,bb=self.li_chao_tree[i] l=a*self.X[self.left[i]]+b r=a*self.X[self.right[i]]+b ll=aa*self.X[self.left[i]]+bb rr=aa*self.X[self.right[i]]+bb if ll<=l and rr<=r: continue if l<=ll and r<=rr: self.li_chao_tree[i]=(a,b) continue queue.append(i<<1) queue.append(i<<1|1) def add_line(self,a,b,L=None,R=None): if L==None: L=self.N else: L+=self.N if R==None: R=2*self.N else: R+=self.N while L<R: if L%2: self.add_line_one_segment(a,b,L) L+=1 if R%2: R-=1 self.add_line_one_segment(a,b,R) L>>=1 R>>=1 def __call__(self,x): i=self.idx[x]+self.N retu=self.inf while i: a,b=self.li_chao_tree[i] retu=min(retu,a*x+b) i>>=1 return retu def __getitem__(self,i): x=self.X[i] i+=self.N retu=self.inf while i: a,b=self.li_chao_tree[i] retu=min(retu,a*x+b) i>>=1 return retu def __str__(self): li_chao_tree=[(0,self.inf)]*self.N for i,x in enumerate(self.X): ii=i+self.N while ii: aa,bb=self.li_chao_tree[ii] a,b=li_chao_tree[i] if aa*x+bb<a*x+b: li_chao_tree[i]=aa,bb ii>>=1 return "["+", ".join(map(str,li_chao_tree))+"]" def __repr__(self): return "Li_Chao_Tree("+str(self)+")" S=[ord(s)-97 for s in input()] T=[ord(t)-97 for t in input()] N=len(S) M=len(T) ST_S=Segment_Tree(N+1,lambda x,y:x+y,0,[0]*(N+1)) ST_T=Segment_Tree(M+1,lambda x,y:x+y,0,[0]*(M+1)) NM=max(N,M) ST=[0]*(NM+1) for n in range(N): ST[n]+=S[n] ST[n+1]-=S[n] ST[n]%=26 ST[n+1]%=26 for m in range(M): ST[m]-=T[m] ST[m+1]+=T[m] ST[m]%=26 ST[m+1]%=26 ST=Segment_Tree(NM+1,lambda x,y:x+y,0,ST) Q=int(input()) for q in range(Q): tpl=tuple(map(int,input().split())) if tpl[0]==1: _,l,r,x=tpl l-=1 ST_S[l]+=x ST_S[r]-=x ST[l]+=x ST[l]%=26 ST[r]-=x ST[r]%=26 elif tpl[0]==2: _,l,r,x=tpl l-=1 ST_T[l]+=x ST_T[r]-=x ST[l]-=x ST[l]%=26 ST[r]+=x ST[r]%=26 else: _,p=tpl p-=1 s=(S[p]+ST_S.Fold(0,p+1))%26 t=(T[p]+ST_T.Fold(0,p+1))%26 if s>t: ans="Greater" elif s<t: ans="Lesser" else: r=ST.Bisect_Right(p+1,lambda s:s==0) if r==NM+1: r=NM if N<M and N<=r: ans="Lesser" elif M<N and M<=r: ans="Greater" elif N==M and r==N: ans="Equals" else: s=(S[r]+ST_S.Fold(0,r+1))%26 t=(T[r]+ST_T.Fold(0,r+1))%26 if s>t: ans="Greater" elif s<t: ans="Lesser" else: ans="Equals" print(ans)