using System;
using System.Collections.Generic;
class ArraySortedAndValidGap
{
static bool IsArraySortedAndValidGap(List<int> list) {
if (list.Count < 2) return true;
bool increasing = list[1] > list[0];
for (int i = 1; i < list.Count; i++) {
int diff = list[i] - list[i - 1];
if (diff != 1 && diff != 2 && diff != 3 && diff != -1 && diff != -2 && diff != -3) {
return false;
}
if ((increasing && diff <= 0) || (!increasing && diff >= 0)) {
return false;
}
}
return true;
}
static void Main()
{
List<int> list1 = new List<int> { 1, 2, 3, 5, 8, 11, 14, 15 };
if (IsArraySortedAndValidGap(list1)) {
Console.WriteLine("Array is sorted and has valid gaps");
}
else {
Console.WriteLine("Array is not sorted or gaps are invalid");
}
List<int> list2 = new List<int> { 15, 14, 11, 8, 5, 3, 2, 1 };
if (IsArraySortedAndValidGap(list2)) {
Console.WriteLine("Array is sorted and has valid gaps");
}
else {
Console.WriteLine("Array is not sorted or gaps are invalid");
}
}
}
/*
run:
Array is sorted and has valid gaps
Array is sorted and has valid gaps
*/