(* Require XMLgen_MC.nb ver >=0.24 *)
SetDirectory[NotebookDirectory[]];
<<XMLgenMC.mx;
DebugMode=False;
ThisNo=StringReplace[StringSplit[ NotebookFileName[],"/"][[-1]],{"LA_"->"",".nb"->"","_"->"-"}];
Category="LA/"<>ThisNo<>".";

(* Global Options *)
Numbering="abc";Title="2次行列式の性質";
(* Numbers of select options and questions *)
Shuffle="false";Single="true";SELNUM=6;NUM=300;
GeneralFeedback="";

TOT[mt_]:=ToString[OneLineTeXForm[mt]];
TOTT[mt_]:=ToString[OneLineTeXForm[Transpose[mt]]];
TTSt[eq_]:=ToString[TeXForm[StandardForm[eq]]];
TOC[mt_,c_]:=TOTT[{Transpose[mt][[c]]}];
TTD[r_]:=StringReplace[TT[r],"\\frac"->"\\dfrac"];
MFT[m_]:=MatrixForm[Transpose[m]];
MF[m_]:=MatrixForm[m];
Rnz[m_]:=(RandomInteger[m]+1)*(2*RandomInteger[1]-1); (* \\pm 1,\pm2,...,\pm(m+1) *)
Rpos[m_]:=RandomInteger[m]+1; (* 1,2,...,m+1 *)
Rbtw[m_]:=RandomInteger[2m]-m;
TTC[A_,n_]:=TOTT[{(Transpose[A])[[n]]}];
PtString[M_]:=StringReplace[ToString[M],{"{"->"(","}"->")"}];
ai2tex[s_]:=StringReplace[TOT[s],Table["\\text{a"<>TOT[i]<>"}"->"{\\mathbf a}_"<>TOT[i],{i,1,8}]];
ci2tex[c_,s_]:=StringReplace[s,Table["\\text{"<>c<>TOT[i]<>"}"->"{\\mathbf "<>c<>"}_"<>TOT[i],{i,1,5}]];
ci2tex[c_,s_,tx_]:=StringReplace[s,Table["\\text{"<>c<>TOT[i]<>"}"->"{"<>tx<>c<>"}_"<>TOT[i],{i,1,8}]];
TOTci2tex[c_,s_]:=StringReplace[TOT[s],Table["\\text{"<>c<>TOT[i]<>"}"->"{\\mathbf "<>c<>"}_"<>TOT[i],{i,1,8}]];
TeXArray2Matrix[s_,mtx_]:=StringReplace[s,Join[{"array"->mtx,"\\left("->"","\\right)"->""},#->"" &/@ ("{"<>StringRepeat["c",#]<>"}" &/@ Reverse[Range[20]])]];
TAM[s_,mtx_]:=TeXArray2Matrix[TOT[s],mtx];
TpStr[L_]:="\\("<>TOT[L[[1]]]<>"\\times"<>TOT[L[[2]]]<>"\\)";
TpTpse[L_]:=If[L=={},{},{L[[2]],L[[1]]}];
PType[A_,B_]:=If[A=={}||B=={},Return[{}],
If[A[[2]]===B[[1]],Return[{A[[1]],B[[2]]}],Return[{}]]];
PTypeL[L_]:=Module[{ct,len,tmp},len=Length[L];
Which[len==0,Return[{}],len==1,Return[L[[1]]],
len==2,Return[PType[L[[1]],L[[2]]]],
True,tmp=L[[1]];For[ct=2,ct≤len,ct++,tmp=PType[tmp,L[[ct]]]];Return[tmp]]];
GCDL[L_]:=Module[{ct,ret=0},For[ct=1,ct≤Length[L],ct++,ret=GCD[ret,L[[ct]]]];Return[ret]];

Clear[p,q,r,s,t,u,v,x,y,z]

(* select pairs of matrices *)
QtList={}; For[ct=1,ct≤NUM*1.02,ct++,
Cn=RandomChoice[{0,0,1,1,1,1,1}];EML={};
EML=Append[EML,{1,GetPnijc[2,1,2,Rnz[3]]}];
EML=Append[EML,{1,GetPnijc[2,2,1,Rnz[4]]}];
EML=Append[EML,{1,GetPnijc[2,1,2,Rnz[5]]}];
EML=Append[EML,{1,GetPnijc[2,2,1,Rnz[2]]}];
k=RandomChoice[{-3,-2,-1,2,3,4}];EML=Append[EML,{k,GetQnic[2,1,k]}];
k=RandomChoice[{-4,-3,-2,-1,2,3,4,5}];EML=Append[EML,{k,GetQnic[2,2,k]}];
k=RandomChoice[{-2,-2,-1,2,2,5}];EML=Append[EML,{k,GetQnic[2,1,k]}];
k=RandomChoice[{-4,-3,-2,2,2,3,4}];EML=Append[EML,{k,GetQnic[2,2,k]}];
EML=Append[EML,{-1,GetRnij[2,1,2]}];
EML=Append[EML,{-1,GetRnij[2,1,2]}];
EML=RandomSample[EML,6];
QtList=Append[QtList,{Cn,EML}]];
(* QtList=DeleteDuplicates[QtList]; *)
QtList=RandomSample[QtList,NUM];Length[QtList]

Clear[a,b,c,d,QtextF];QtextF[mm_]:=Module[{Cn,EML,EM,MA,ret,ct,Tmp},
MA={{a,b},{c,d}};
{Cn,EML}=QtList[[mm]];Tmp="";
For[ct=1,ct≤Length[EML],ct++,
Tmp=Tmp<>TAM[RandomChoice[{EML[[ct,2]].MA,MA.EML[[ct,2]]}],"vmatrix"];
If[ct<Length[EML],Tmp=Tmp<>"+"]];
ret=IfDeb[{MatrixForm[#[[2]]] &/@ EML},
"\\(\\begin{vmatrix}a&b\\\\c&d\\end{vmatrix}=t\\)のとき, 次の式は\\(t\\)の何倍か. 以下から選びなさい."
<>"<br/>\\("<>Tmp<>"\\)"];
Return[ret]];

DebOff[];QtextF[3]

AListF[mm_]:=Module[{Cn,EML,EM,ct,Tmp,ValL,Cans,Ians,fsL={},ret={}},
{Cn,EML}=QtList[[mm]];
fsL=Append[fsL,"正解です."];fsL=Append[fsL,"どれかの符号間違いがないか確認しよう."];
fsL=Append[fsL,"正解はあります."];
ValL=Table[EML[[i,1]],{i,1,Length[EML]}];
Cans=Plus@@ValL;
If[Cn==1,ret=Append[ret,{"C","\\("<>TOT[Cans]<>"\\)",fsL[[1]]}]];
While[Length[ret]<SELNUM-1,
Ians=Plus@@(Table[Rnz[0],Length[ValL]]*ValL);
If[Ians≠Cans,
ret=Append[ret,{"I","\\("<>TOT[Ians]<>"\\)",fsL[[2]]}]];
ret=DeleteDuplicates[ret]];
ret=RandomSample[ret];
If[Cn==1,ret=Append[ret,{"I","この中に正解はない.", fsL[[3]]}],
ret=Append[ret,{"C","この中に正解はない.",fsL[[1]]}]];
Return[Join[{{1,SELNUM-1}},ret]]];

DebOff[];Print[QtextF[7]];AListF[7]

(* For[ct=1,ct≤NUM,ct++,Print[ct];QtextF[ct];AListF[ct]]; (* Error Check *) *)

DebOff[];GenMCxmlV2[DFname[1],Category<>Title<>"(MC1)",Title,NUM,Single,QtextF,AListF]

#->Nothing &/@ Permutations[{1,2,3},{2}]

DebOn[];QtextF[291]