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September 7, 2018 06:35
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Leetcode 400 Nth Digit - FirstSubmission - a few issues - failed test case: input: 10, output: 0, expected: 1
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public class Solution { | |
public int FindNthDigit(int n) // 8, return 8 | |
{ | |
var preprocessed = getPreprocessNumbers(); | |
var length = preprocessed.Count; | |
/// there are 28 entries in the list | |
for (int i = 0; i < length; i++ ) | |
{ | |
var current = preprocessed[i]; | |
if (n <= current[3]) // 8 < 9 | |
{ | |
var start = i == 0 ? 1 : getStartByDigits(current[0]); // 0 | |
var digits = current[0]; // 1 | |
var sequence = (n - start) / digits; // 8 | |
var nth = (n - start) % digits; // 0 | |
return getDigitInInteger(sequence, nth, digits); | |
} | |
} | |
return 0; | |
} | |
// 8 - start 1 sequence 7, nth 0, digits 1 | |
// 12 - start 10 sequence 1, nth 0, digits 2 | |
// 13 - start 10 sequence 1, nth 1, digits 2 | |
private static int getDigitInInteger(int sequence, int nth, int digits) | |
{ | |
int start = getStartByDigits(digits); | |
start += sequence; | |
int index = 0; | |
int nthValue = 1; | |
int current = start; | |
int loops = digits - nthValue; | |
int lastDigit = current % 10; | |
while (index < loops) | |
{ | |
lastDigit = current % 10; | |
current = current / 10; | |
index++; | |
} | |
return lastDigit; | |
} | |
private static int getStartByDigits(int digits) | |
{ | |
return digits == 1 ? 1 : (int)Math.Pow(10, digits - 1); | |
} | |
/// <summary> | |
/// 1 - 9, 1 digit number, 9 numbers, 9 * 1 digits in total | |
/// 10 - 99, 2 digit numbers, 90 numbers, 90 * 2 digits in total | |
/// 100 - 999, 3 digit numbers, 900 numbers, 900 * 3 digits in total | |
/// 1000 - 9999, ... | |
/// int 2^31 | |
/// </summary> | |
/// <returns></returns> | |
private static IList<int[]> getPreprocessNumbers() | |
{ | |
var numbers = new List<int[]>(); | |
int start = 1; | |
int max = int.MaxValue; | |
int digits = 1; | |
int digitsUsed = 9; | |
int numberCounts = 9; | |
int totalDigitsUsed = 0; | |
while (start <= max && ((long)totalDigitsUsed + (long)digitsUsed) < max) | |
{ | |
totalDigitsUsed += digitsUsed; | |
numbers.Add(new int[] { digits, numberCounts, digitsUsed, totalDigitsUsed }); | |
// .... | |
start += numberCounts; | |
// increment the variables | |
digits++; // 1, 2, 3 | |
numberCounts *= 10; // 9, 90, 900, ... | |
digitsUsed = numberCounts * digits; // 9, 90, 900, ... | |
} | |
return numbers; | |
} | |
} |
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