2017-12-24 01:30:49 +08:00
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/*A sparse matrix is a matrix which has number of zeroes greater than (m*n)/2,
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where m and n are the dimensions of the matrix.*/
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#include <iostream>
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2018-03-27 23:51:33 +08:00
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using namespace std;
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2017-12-24 01:30:49 +08:00
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int main()
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{
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2019-08-21 10:10:08 +08:00
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int m, n;
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int counterZeros = 0;
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2018-03-27 23:51:33 +08:00
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cout << "Enter dimensions of matrix (seperated with space): ";
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2017-12-24 01:30:49 +08:00
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cin >> m >> n;
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int a[m][n];
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cout << "Enter matrix elements:";
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2018-03-27 23:51:33 +08:00
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cout << "\n";
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// reads the matrix from stdin
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2019-08-21 10:10:08 +08:00
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for (int i = 0; i < m; i++)
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2017-12-24 01:30:49 +08:00
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{
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2019-08-21 10:10:08 +08:00
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for (int j = 0; j < n; j++)
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2018-03-27 23:51:33 +08:00
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{
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2019-08-21 10:10:08 +08:00
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cout << "element? ";
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cin >> a[i][j];
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2018-03-27 23:51:33 +08:00
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}
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2017-12-24 01:30:49 +08:00
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}
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2018-03-27 23:51:33 +08:00
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// counts the zero's
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2019-08-21 10:10:08 +08:00
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for (int i = 0; i < m; i++)
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2017-12-24 01:30:49 +08:00
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{
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2019-08-21 10:10:08 +08:00
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for (int j = 0; j < n; j++)
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2017-12-24 01:30:49 +08:00
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{
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2019-08-21 10:10:08 +08:00
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if (a[i][j] == 0)
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counterZeros++; //Counting number of zeroes
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2017-12-24 01:30:49 +08:00
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}
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}
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2018-03-27 23:51:33 +08:00
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// makes sure the matrix is a sparse matrix
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2019-08-21 10:10:08 +08:00
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if (counterZeros > ((m * n) / 2)) //Checking for sparse matrix
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cout << "Sparse matrix";
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2017-12-24 01:30:49 +08:00
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else
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2019-08-21 10:10:08 +08:00
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cout << "Not a sparse matrix";
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2017-12-24 01:30:49 +08:00
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}
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