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MergeSortCountingInversions.cs
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74 lines (58 loc) · 1.95 KB
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// Merge Sort: Counting Inversions
using System.CodeDom.Compiler;
using System.Collections.Generic;
using System.Collections;
using System.ComponentModel;
using System.Diagnostics.CodeAnalysis;
using System.Globalization;
using System.IO;
using System.Linq;
using System.Reflection;
using System.Runtime.Serialization;
using System.Text.RegularExpressions;
using System.Text;
using System;
class Solution {
// Complete the countInversions function below.
static long countInversions(int[] arr) {
if (arr.Length == 1) return 0;
var mid = arr.Length / 2;
var left = new int[mid];
var right = new int[arr.Length - mid];
for (var index = 0; index < left.Length; index++)
left[index] = arr[index];
for (var index = 0; index < right.Length; index++)
right[index] = arr[mid + index];
var result = countInversions(left) + countInversions(right);
var l = 0;
var r = 0;
while (l < left.Length || r < right.Length)
{
if (l == left.Length || (r < right.Length && right[r] < left[l]))
{
arr[r + l] = right[r];
r++;
result += left.Length - l;
}
else
{
arr[r + l] = left[l];
l++;
}
}
return result;
}
static void Main(string[] args) {
TextWriter textWriter = new StreamWriter(@System.Environment.GetEnvironmentVariable("OUTPUT_PATH"), true);
int t = Convert.ToInt32(Console.ReadLine());
for (int tItr = 0; tItr < t; tItr++) {
int n = Convert.ToInt32(Console.ReadLine());
int[] arr = Array.ConvertAll(Console.ReadLine().Split(' '), arrTemp => Convert.ToInt32(arrTemp))
;
long result = countInversions(arr);
textWriter.WriteLine(result);
}
textWriter.Flush();
textWriter.Close();
}
}