{ "data": { "question": { "questionId": "2240", "questionFrontendId": "2121", "boundTopicId": null, "title": "Intervals Between Identical Elements", "titleSlug": "intervals-between-identical-elements", "content": "

You are given a 0-indexed array of n integers arr.

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The interval between two elements in arr is defined as the absolute difference between their indices. More formally, the interval between arr[i] and arr[j] is |i - j|.

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Return an array intervals of length n where intervals[i] is the sum of intervals between arr[i] and each element in arr with the same value as arr[i].

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Note: |x| is the absolute value of x.

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Example 1:

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\nInput: arr = [2,1,3,1,2,3,3]\nOutput: [4,2,7,2,4,4,5]\nExplanation:\n- Index 0: Another 2 is found at index 4. |0 - 4| = 4\n- Index 1: Another 1 is found at index 3. |1 - 3| = 2\n- Index 2: Two more 3s are found at indices 5 and 6. |2 - 5| + |2 - 6| = 7\n- Index 3: Another 1 is found at index 1. |3 - 1| = 2\n- Index 4: Another 2 is found at index 0. |4 - 0| = 4\n- Index 5: Two more 3s are found at indices 2 and 6. |5 - 2| + |5 - 6| = 4\n- Index 6: Two more 3s are found at indices 2 and 5. |6 - 2| + |6 - 5| = 5\n
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Example 2:

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\nInput: arr = [10,5,10,10]\nOutput: [5,0,3,4]\nExplanation:\n- Index 0: Two more 10s are found at indices 2 and 3. |0 - 2| + |0 - 3| = 5\n- Index 1: There is only one 5 in the array, so its sum of intervals to identical elements is 0.\n- Index 2: Two more 10s are found at indices 0 and 3. |2 - 0| + |2 - 3| = 3\n- Index 3: Two more 10s are found at indices 0 and 2. |3 - 0| + |3 - 2| = 4\n
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Constraints:

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Update this mapping as you iterate through the array.", "Process each list of indices separately and get the sum of intervals for the elements of that value by utilizing prefix sums.", "For each element, keep track of the sum of indices of the identical elements that have come before and that will come after respectively. Use this to calculate the sum of intervals for that element to the rest of the elements with identical values." ], "solution": null, "status": null, "sampleTestCase": "[2,1,3,1,2,3,3]", "metaData": "{\n \"name\": \"getDistances\",\n \"params\": [\n {\n \"name\": \"arr\",\n \"type\": \"integer[]\"\n }\n ],\n \"return\": {\n \"type\": \"long[]\"\n }\n}", "judgerAvailable": true, "judgeType": "large", "mysqlSchemas": [], "enableRunCode": true, "enableTestMode": false, "enableDebugger": true, "envInfo": "{\"cpp\": [\"C++\", \"

Compiled with clang 11 using the latest C++ 20 standard.

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Your code is compiled with level two optimization (-O2). AddressSanitizer is also enabled to help detect out-of-bounds and use-after-free bugs.

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Most standard library headers are already included automatically for your convenience.

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OpenJDK 17. Java 8 features such as lambda expressions and stream API can be used.

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Most standard library headers are already included automatically for your convenience.

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Python 2.7.12.

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Most libraries are already imported automatically for your convenience, such as array, bisect, collections. If you need more libraries, you can import it yourself.

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For Map/TreeMap data structure, you may use sortedcontainers library.

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Note that Python 2.7 will not be maintained past 2020. For the latest Python, please choose Python3 instead.

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Your code is compiled with level one optimization (-O1). AddressSanitizer is also enabled to help detect out-of-bounds and use-after-free bugs.

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Most standard library headers are already included automatically for your convenience.

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For hash table operations, you may use uthash. \\\"uthash.h\\\" is included by default. Below are some examples:

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2. Looking up an item in a hash:\\r\\n

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3. Deleting an item in a hash:\\r\\n

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C# 10 with .NET 6 runtime

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Node.js 16.13.2.

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Ruby 3.1

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Some common data structure implementations are provided in the Algorithms module: https://www.rubydoc.info/github/kanwei/algorithms/Algorithms

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Swift 5.5.2.

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Go 1.21

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Python 3.10.

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For Map/TreeMap data structure, you may use sortedcontainers library.

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Scala 2.13.7.

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Kotlin 1.9.0.

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Rust 1.58.1

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Supports rand v0.6\\u00a0from crates.io

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PHP 8.1.

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With bcmath module

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TypeScript 5.1.6, Node.js 16.13.2.

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Run with Racket 8.3.

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Dart 2.17.3

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Your code will be run directly without compiling

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