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Задача: В заданной квадратной матрице значения некоторых диагональных элементов равняются нулю. Переставить строки или столбцы матрицы таким образом, чтобы диагональные элементы стали ненулевыми. Если это невозможно сделать, вывести соответствующее сообщение.
Во вложении мои наброски проги, помогите, пожалуйста, добить задачу до конца. Заранее всем огромное спасибо!
Приложение: { program zmas; uses crt; var b:array[1..10] of integer; a:array[1..10,1..10] OF integer; n, {size of matrix} i,iz,jz,j,m:integer; {indexs rov, culumn} key:char; flag:boolean;
{=====================output==========================} procedure output; begin for i:=1 to n do begin for j:=1 to n do write( a[i,j], ' '); writeln; end; end; {====================Change==================} Procedure CH; var k:integer; tmp:integer; flag:boolean; begin Flag:=false; For i:=iz to n do begin If a[i,jz]<>0 then begin flag:=true; for K:=1 to n do begin tmp:=a[iz,k]; a[iz,k]:=a[i,k]; a[i,k]:=tmp; end; end; if flag=false then begin for i:=1 to iz-1 do If a[i,jz]<>0 then begin flag:=true; for K:=1 to n do begin tmp:=a[iz,k]; a[iz,k]:=a[i,k]; a[i,k]:=tmp; end; end; end; end; if flag=false then writeln('Imposible');
end; {==============input matrix=========================================} procedure Inite; begin repeat writeln('input size of matrix'); readln(n); until n>0; writeln('input component of matrix'); for i:=1 to n do for j:=1 to n do begin write('a[',i,',',j,']='); readln (a[i,j]); end; writeln('Matrix'); output; end;
{===================generation element of matrix===========================} procedure ran; begin randomize; writeln('input size of matrix'); readln(n); for i:=1 to n do for j:=1 to n do a[i,j]:=random(5); output; end; {================im=================} procedure im; var k,l:integer; begin flag:=false; {l:=n*n/2; } for j:=1 to n do begin I:=0; k:=0; repeat I:=i+1; if a[i,j]=0 then k:=k+1; if k=n then begin writeln('imposible'); flag:=true; end; until i=n; if flag=true then break; end; for i:=1 to n do begin j:=0; k:=0; repeat j:=j+1; if a[i,j]=0 then k:=k+1; if k=n then begin writeln('imposible '); flag:=true; end; until j=n; if flag=true then break; end; end;
begin clrscr; write('"1":input element of matrix'); writeln(' "2":randomaze element of matrix');
writeln(' For EXIT pres esc '); writeln('=================================================='); repeat writeln ('choose command 1-2 or ESC'); key:=readkey; case key of '1':Inite; '2':ran; end; im; if flag=false then Begin Zero; writeln('=======Change matrix============'); output; end; until key=#27; end. }
Обсуждение
Неизвестный
09.12.2009, 13:25
общий
можно переставлять как строки так и столбцы одновременно неограниченное кол-во раз? Потомучто, если можно, то получается, что можно перемешать матрицу как угодно и задача своидтся к счёту кол-ва нулевых элементов, и если их больше n-n*n (где n - размер стороны матрицы), то imposible
Неизвестный
09.12.2009, 18:23
общий
Можно переставлять строки и столбцы неограниченное количество раз!)
Помогите, пожалуйста, доделать задачу) Благодарю!
Неизвестный
09.12.2009, 18:54
общий
Хммм... поподробнее поразмышлял о задаче, почеркался на листочке, оказывается в первом сообщении я был не прав. Еще один вопросик для уточнения: под "диагональными элементами" ты подразумеваешь только главную диагональ матрицы (линия с элемента 1,1 до n,n) или обе диагонали? X000 0X00 00X0 000X или X00X 0XX0 0XX0 X00X ? Если только главная диагональ, то решение довольно простое.
Неизвестный
09.12.2009, 20:10
общий
Да нет, тут имеются ввиду и главная, и побочная диагонали.
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