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Consider an array of integers, . Find and print the total number of pairs such that where .Input FormatThe first line contains an integer, , denoting the number of elements in the array.The second line consists of space-separated integers describing the respective values of .ConstraintsScoring for of the test cases. for of the test cases. for of the test cases.Output FormatPrint a long integer denoting the total number pairs satisfying where .Sample Input5 1 1 2 4 2Sample Output8ExplanationThere are eight pairs of indices satisfying the given criteria: , , , , , , , and . Thus, we print as our answer.Contest ends in 2 hoursSubmissions: 43Max Score: 10Difficulty: AdvancedRate This Challenge: More Python 31#!/bin/python32​3import math4import os5import random6import re7import sys8​9#10# Complete the 'solve' function below.11#12# The function is expected to return a LONG_INTEGER.13# The function accepts INTEGER_ARRAY arr as parameter.14#15​16def solve(arr):17    # Write your code here18    19if __name__ == '__main__':20    fptr = open(os.environ['OUTPUT_PATH'], 'w')21​22    arr_count = int(input().strip())23​24    arr = list(map(int, input().rstrip().split()))25​26    result = solve(arr)27​28    fptr.write(str(result) + '\n')29​30    fptr.close()31​

Question

Consider an array of integers, . Find and print the total number of pairs such that where .Input FormatThe first line contains an integer, , denoting the number of elements in the array.The second line consists of space-separated integers describing the respective values of .ConstraintsScoring for of the test cases. for of the test cases. for of the test cases.Output FormatPrint a long integer denoting the total number pairs satisfying where .Sample Input5 1 1 2 4 2Sample Output8ExplanationThere are eight pairs of indices satisfying the given criteria: , , , , , , , and . Thus, we print as our answer.Contest ends in 2 hoursSubmissions: 43Max Score: 10Difficulty: AdvancedRate This Challenge: More Python 31#!/bin/python32​3import math4import os5import random6import re7import sys8​9#10# Complete the 'solve' function below.11#12# The function is expected to return a LONG_INTEGER.13# The function accepts INTEGER_ARRAY arr as parameter.14#15​16def solve(arr):17    # Write your code here18    19if name == 'main':20    fptr = open(os.environ['OUTPUT_PATH'], 'w')21​22    arr_count = int(input().strip())23​24    arr = list(map(int, input().rstrip().split()))25​26    result = solve(arr)27​28    fptr.write(str(result) + '\n')29​30    fptr.close()31​

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Solution

The problem is asking to find the total number of pairs in an array such that the absolute difference of the indices is equal to the absolute difference of the elements at those indices.

Here is a Python solution using a dictionary to keep track of the indices of each element in the array:

def solve(arr):
    indices = {}
    for i, num in enumerate(arr):
        if num not in indices:
            indices[num] = [i]
        else:
            indices[num].append(i)
    pairs = 0
    for index in indices.values():
        for i in range(len(index)):
            for j in range(i+1, len(index)):
                if abs(index[i] - index[j]) == abs(arr[index[i]] - arr[index[j]]):
                    pairs += 1
    return pairs

if __name__ == '__main__':
    arr_count = int(input().strip())
    arr = list(map(int, input().rstrip().split()))
    result = solve(arr)
    print(result)

This solution works by iterating over the array and storing the indices of each element in a dictionary. Then, for each list of indices in the dictionary, it checks every pair of indices to see if the absolute difference of the indices is equal to the absolute difference of the elements at those indices. If it is, it increments a counter. Finally, it returns the counter.

This problem has been solved

Similar Questions

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