# Sum of upper triangle and lower triangle

Given a matrix print the sum of upper and lower triangular elements (i.e elements on diagonal and the upper and lower elements).

Examples :

```Input : {6, 5, 4}
{1, 2, 5}
{7, 9, 7}
Output :
Upper sum is 29
Lower sum is 32

```

## Recommended: Please try your approach on {IDE} first, before moving on to the solution.

The solution is quite simple, we just need to traverse the matrix and calculate the sum for upper and lower triangles accordingly.

 `// C++ program to calculate the sum  ` `// of upper and lower triangle ` `#include ` `using` `namespace` `std; ` ` `  `/*function to calculate sum*/` `void` `sum(``int` `mat[3][3], ``int` `r, ``int` `c) ` `{ ` `    ``int` `i, j; ` `    ``int` `upper_sum = 0; ` `    ``int` `lower_sum = 0; ` `     `  `    ``/*to calculate sum of upper triangle*/` `    ``for` `(i = 0; i < r; i++) ` `        ``for` `(j = 0; j < c; j++) { ` `            ``if` `(i <= j) { ` `                ``upper_sum += mat[i][j]; ` `            ``} ` `        ``} ` ` `  `    ``printf``(``"Upper sum is %d\n"``, upper_sum); ` `     `  `    ``/*to calculate sum of lower*/` `    ``for` `(i = 0; i < r; i++) ` `        ``for` `(j = 0; j < c; j++) { ` `            ``if` `(j <= i) { ` `                ``lower_sum += mat[i][j]; ` `            ``} ` `        ``} ` ` `  `    ``printf``(``"Lower sum is %d"``, lower_sum); ` `} ` ` `  `/*driver function*/` `int` `main() ` `{ ` `    ``int` `r = 3; ` `    ``int` `c = 3; ` ` `  `    ``/*giving the matrix*/` `    ``int` `mat[3][3] = {{ 6, 5, 4 }, ` `                     ``{ 1, 2, 5 }, ` `                     ``{ 7, 9, 7 }}; ` `                      `  `    ``/*calling the function*/` `    ``sum(mat, r, c); ` `    ``return` `0; ` `} `

 `// Java program to calculate the sum  ` `// of upper and lower triangle ` ` `  `class` `GFG ` `{ ` `    ``/*function to calculate sum*/` `    ``static` `void` `sum(``int` `mat[][], ``int` `r, ``int` `c) ` `    ``{ ` `        ``int` `i, j; ` `        ``int` `upper_sum = ``0``; ` `        ``int` `lower_sum = ``0``; ` `         `  `        ``/*calculate sum of upper triangle*/` `        ``for` `(i = ``0``; i < r; i++) ` `            ``for` `(j = ``0``; j < c; j++)  ` `            ``{ ` `                ``if` `(i <= j)  ` `                ``{ ` `                    ``upper_sum += mat[i][j]; ` `                ``} ` `            ``} ` `     `  `        ``System.out.println(``"Upper sum is "` `+ upper_sum); ` `         `  `        ``/*calculate sum of lower*/` `        ``for` `(i = ``0``; i < r; i++) ` `            ``for` `(j = ``0``; j < c; j++)  ` `            ``{ ` `                ``if` `(j <= i)  ` `                ``{ ` `                    ``lower_sum += mat[i][j]; ` `                ``} ` `            ``} ` `     `  `        ``System.out.print(``"Lower sum is "` `+ lower_sum); ` `    ``}  ` `         `  `    ``// Driver code ` `    ``public` `static` `void` `main (String[] args) ` `    ``{ ` `        ``int` `r = ``3``; ` `        ``int` `c = ``3``; ` `     `  `        ``/*giving the matrix*/` `        ``int` `mat[][] = {{ ``6``, ``5``, ``4` `}, ` `                        ``{ ``1``, ``2``, ``5` `}, ` `                        ``{ ``7``, ``9``, ``7` `}}; ` `                         `  `        ``/*calling the function*/` `        ``sum(mat, r, c); ` `    ``} ` `} ` ` `  `// This code is contributed by Anant Agarwal. `

 `# Python3 program to calculate the sum  ` `# of upper and lower triangle ` ` `  `# function to calculate sum ` `def` `Sum``(mat, r, c): ` ` `  `    ``i, j ``=` `0``, ``0``; ` `    ``upper_sum ``=` `0``; ` `    ``lower_sum ``=` `0``; ` `     `  `    ``# to calculate sum of upper triangle ` `    ``for` `i ``in` `range``(r): ` `        ``for` `j ``in` `range``(c): ` `            ``if` `(i <``=` `j): ` `                ``upper_sum ``+``=` `mat[i][j]; ` ` `  `    ``print``(``"Upper sum is "``, upper_sum); ` `     `  `    ``# to calculate sum of lower ` `    ``for` `i ``in` `range``(r): ` `        ``for` `j ``in` `range``(c): ` `            ``if` `(j <``=` `i): ` `                ``lower_sum ``+``=` `mat[i][j]; ` ` `  `    ``print``(``"Lower sum is "``, lower_sum); ` ` `  `# Driver Code ` `r ``=` `3``; ` `c ``=` `3``; ` ` `  `# giving the matrix ` `mat ``=` `[[ ``6``, ``5``, ``4` `], ` `       ``[ ``1``, ``2``, ``5` `], ` `       ``[ ``7``, ``9``, ``7` `]]; ` ` `  `# calling the function ` `Sum``(mat, r, c); ` ` `  `# This code is contributed by 29AjayKumar `

 `// C# program to calculate the sum  ` `// of upper and lower triangle ` `using` `System; ` ` `  `class` `GFG ` `{ ` `    ``/*function to calculate sum*/` `    ``static` `void` `sum(``int` `[,]mat, ``int` `r, ``int` `c) ` `    ``{ ` `        ``int` `i, j; ` `        ``int` `upper_sum = 0; ` `        ``int` `lower_sum = 0; ` `         `  `        ``/*calculate sum of upper triangle*/` `        ``for` `(i = 0; i < r; i++) ` `            ``for` `(j = 0; j < c; j++)  ` `            ``{ ` `                ``if` `(i <= j)  ` `                ``{ ` `                   ``upper_sum += mat[i,j]; ` `                ``} ` `            ``} ` `     `  `        ``Console.WriteLine(``"Upper sum is "` `+  ` `                                ``upper_sum); ` `         `  `        ``/*calculate sum of lower*/` `        ``for` `(i = 0; i < r; i++) ` `            ``for` `(j = 0; j < c; j++)  ` `            ``{ ` `                ``if` `(j <= i)  ` `                ``{ ` `                   ``lower_sum += mat[i,j]; ` `                ``} ` `            ``} ` `     `  `        ``Console.Write(``"Lower sum is "` `+  ` `                            ``lower_sum); ` `    ``}  ` `         `  `    ``// Driver code ` `    ``public` `static` `void` `Main () ` `    ``{ ` `        ``int` `r = 3; ` `        ``int` `c = 3; ` `     `  `        ``/*giving the matrix*/` `        ``int` `[,]mat = {{6, 5, 4}, ` `                      ``{1, 2, 5}, ` `                      ``{7, 9, 7}}; ` `                         `  `        ``/*calling the function*/` `        ``sum(mat, r, c); ` `    ``} ` `} ` ` `  `// This code is contributed by nitin mittal. `

 ` `

Output :

```Upper sum is 29
Lower sum is 32
```

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