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Gonzalo Diaz
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[Hacker Rank]: Warmup: Diagonal Difference. Solved ✅.
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# [Diagonal Difference](https://www.hackerrank.com/challenges/diagonal-difference)
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Difficulty: #easy
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Category: #warmup
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Given a square matrix, calculate the absolute difference between the sums
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of its diagonals.
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For example, the square matrix $ arr $ is shown below:
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```text
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1 2 3
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4 5 6
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9 8 9
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```
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The left-to-right $ diagonal = 1 + 5 + 9 = 15 $.
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The right to left $ diagonal = 3 + 5 + 9 = 17 $.
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Their absolute difference is $ |15 - 17| = 2 $.
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## Function description
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Complete the $ diagonalDifference $ function in the editor below.
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diagonalDifference takes the following parameter:
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- int ` arr[n][m] `: an array of integers
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## Return
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- int: the absolute diagonal difference
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## Input Format
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The first line contains a single integer, n, the number of
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rows and columns in the square matrix arr.
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Each of the next n lines describes a row, arr[i], and consists of
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space-separated integers ` arr[i][j] `.
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## Constraints
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$ -100 \leq $ ` arr[i][j] ` $ \leq 100 $
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## Output Format
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Return the absolute difference between the sums of the matrix's
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two diagonals as a single integer.
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## Sample Input
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```text
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3
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11 2 4
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4 5 6
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10 8 -12
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```
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Sample Output
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```text
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15
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```
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## Explanation
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The primary diagonal is:
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```text
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11
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5
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-12
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```
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Sum across the primary diagonal: 11 + 5 - 12 = 4
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The secondary diagonal is:
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```text
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4
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5
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10
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```
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Sum across the secondary diagonal: $ 4 + 5 + 10 = 19 $
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Difference: $ |4 - 19| = 15 $
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*Note*: $ |x| $ is the
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[absolute value](https://www.mathsisfun.com/numbers/absolute-value.html)
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of $ x $
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#include <vector>
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#pragma once
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namespace hackerrank::warmup {
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int diagonalDifference(const std::vector<std::vector<int>>& arr);
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}
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#include <exercises/hackerrank/warmup/diagonal_difference.hpp>
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/**
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* @link Problem definition [[docs/hackerrank/warmup/diagonal_difference.md]]
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*/
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#include <numeric>
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#include <vector>
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namespace hackerrank::warmup {
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int diagonalDifference(const std::vector<std::vector<int>>& arr) {
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int diag1 = 0;
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int diag2 = 0;
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size_t last = arr.size() - 1L;
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for (int i = 0; i < arr.size(); i++) {
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for (int j = 0; j < arr[i].size(); j++) {
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if (i == j) {
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diag1 += arr[i][j];
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diag2 += arr[last - i][j];
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}
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}
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}
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return abs(diag1 - diag2);
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}
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}
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#include <catch2/catch_test_macros.hpp>
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#include <exercises/hackerrank/warmup/diagonal_difference.hpp>
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#include <iostream>
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#include <vector>
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#include <filesystem>
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#include <fstream>
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#include <nlohmann/json.hpp>
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using json = nlohmann::json;
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TEST_CASE("diagonalDifference JSON Test Cases", "[warmup]")
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{
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std::filesystem::path cwd = std::filesystem::current_path();
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std::string path = cwd.string() + "/unit/lib/hackerrank/warmup/diagonal_difference.testcases.json";
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INFO("diagonalDifference JSON test cases FILE: " << path);
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std::ifstream f(path);
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json data = json::parse(f);
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for (auto testcase : data) {
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long result = hackerrank::warmup::diagonalDifference(testcase["matrix"]);
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CHECK(result == testcase["expected"]);
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}
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}
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[
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{ "matrix":
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[
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[11, 2, 4],
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[4, 5, 6],
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[10, 8, -12]
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],
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"expected": 15
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}
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]

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