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1. Элемент матрицы называется локальным минимумом, если он строго меньше всех имеющихся у него соседей. Подсчитать количество локальных минимумов заданной матрицы размером 10 на 10 ( оформить в виде процедуры ).
2. Найти сумму модулей эл-тов, расположенных выше главной диагонали (оформить в виде функции).
Обсуждение
Неизвестный
26.05.2009, 22:08
общий
это ответ
Здравствуйте, Nevr34. Код второй программы в приложении.
Главное в программе это функция GetSum, которая возвращает сумму нужных элементов матрицы:
Код:
{Функция получения суммы нужных элементов} function GetSum: integer; var Sum: integer;
begin sum := 0; {в этом цикле суммируем все элемнты которые находятся выше главной диагонали} for i := 1 to N - 1 do for j := i + 1 to N do {abs() - возвращает модуль аргумента} sum := sum + abs(a[i, j]); GetSum := sum; end;
Элементы находящиеся выше главной диагонали можно получить с помощью такого цикла:
Код:
for i := 1 to N - 1 do for j := i + 1 to N do {a[i, j] - нужный элемент}
Затем в теле цикла прибавляем к сумме модуль элемента с индексами i, j. Модуль можно получить с помощью функции abs(), которая возвращает модуль переданного числа. После завершения цикла в переменной sum находится сумма нужных нам элементов.
Удачи!!!
Приложение: const {Размерность матрицы} N = 5;
var {Матрица} a: array [1..N, 1..N] of integer; {Счетчики для цикла For} i, j: integer;
{Процедура заполнения и вывода матрицы} procedure Fill; begin WriteLn('Исходная матрица: '); {Инициируем генаратор случайных чисел} randomize; {В цикле заполняем матрицу случайными числами и выводим} for i := 1 to N do begin for j := 1 to N do begin a[i, j] := random(20) - 10; Write(a[i, j]:4); end; WriteLn; end; end;
{Функция получения суммы нужных элементов} function GetSum: integer; var Sum: integer;
begin sum := 0; {в этом цикле суммируем все элемнты которые находятся выше главной диагонали} for i := 1 to N - 1 do for j := i + 1 to N do {abs() - возвращает модуль аргумента} sum := sum + abs(a[i, j]); GetSum := sum; end;
begin {Основной код программы} Fill; Write('Ответ: ', GetSum); ReadLn; end.
Неизвестный
27.05.2009, 00:02
общий
А угловые соседи тоже рассматриваются?
Неизвестный
27.05.2009, 12:08
общий
Тимошенко Дмитрий: У меня только вычисляется сумма модулей элементов, расположенных выше главной диагонали.
Приложение: uses Crt; const n=10; type Tmatrix=array[1..n,1..n]of integer; var a:Tmatrix; {процедура генерации массива} procedure CreateMatrix(var z:Tmatrix); var i,j:integer; begin for i:=1 to n do begin for j:=1 to n do begin z[i,j]:=random(50); write(z[i,j]:3); end; writeln; end; end; {процедура поиска локальных минимумов} procedure SearchMinimum(z:Tmatrix); var i,j,x,y,k,l:integer; w:boolean; begin y:=0; for i:=1 to n do begin for j:=1 to n do begin w:=true; TextColor(7); for x:=0 to 8 do begin k:=i-1+x mod 3; l:=j-1+x div 3; if ((i<>k)or(j<>l))and{исключаем проверку одно и тогоже числа} (1<=k)and(k<=n)and{исключаем выход за пределы массива} (1<=l)and(l<=n)and{исключаем выход за пределы массива} (z[k,l]<=z[i,j])then{проверяем неравенство} w:=false; end; if w then TextColor(15);{меняем цвет} inc(y,ord(w));{считаем минимумы} write(z[i,j]:3);{выводим элемент} end; writeln; end; TextColor(7); writeln('Local Mimimum:=', y:4); end; begin {создаем матрицу} CreateMatrix(a); writeln; {выводим результат} SearchMinimum(a); ReadKey; end.
Об авторе:
Мне безразлично, что Вы думаете о обо мне, но я рад за Вас - Вы начали думать.
Форма ответа
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