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Watson gives Sherlock an array of integers. His challenge is to find an element of the array such that the sum of all elements to the left is equal to the sum of all elements to the right. For instance, given the array , is between two subarrays that sum to
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Dothraki are planning an attack to usurp King Robert's throne. King Robert learns of this conspiracy from Raven and plans to lock the single door through which the enemy can enter his kingdom. But, to lock the door he needs a key that is an anagram of a
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Julius Caesar protected his confidential information by encrypting it using a cipher. Caesar's cipher shifts each letter by a number of letters. If the shift takes you past the end of the alphabet, just rotate back to the front of the alphabet. In the case of a rotation
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Louise joined a social networking site to stay in touch with her friends. The signup page required her to input a name and a password. However, the password must be strong. The website considers a password to be strong if it satisfies the following criteria: * Its length is at least
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Sorting is useful as the first step in many different tasks. The most common task is to make finding things easier, but there are other uses as well. In this case, it will make it easier to determine which pair or pairs of elements have the smallest absolute difference between
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A numeric string, , is beautiful if it can be split into a sequence of two or more positive integers, , satisfying the following conditions: 1. for any (i.e., each element in the sequence is more than the previous element). 2. No contains a leading zero. For example, we can split
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A weighted string is a string of lowercase English letters where each letter has a weight. Character weights are to from to as shown below: We define the following terms: The weight of a string is the sum of the weights of all the string's characters. For example:
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Happy Ladybugs is a board game having the following properties: * The board is represented by a string, , of length . The character of the string, , denotes the cell of the board. * If is an underscore (i.e., _), it means the cell of the board is empty. * If is an uppercase English
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Bob has a strange counter. At the first second, it displays the number . Each second, the number displayed by the counter decrements by until it reaches . The counter counts down in cycles. In next second, the timer resets to and continues counting down. The diagram below shows the counter values
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Manasa is out on a hike with friends. She finds a trail of stones with numbers on them. She starts following the trail and notices that any two consecutive stones' numbers differ by one of two values. Legend has it that there is a treasure trove at the end
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An integer is a divisor of an integer if the remainder of . Given an integer, for each digit that makes up the integer determine whether it is a divisor. Count the number of divisors occurring within the integer. Note: Each digit is considered to be unique, so each occurrence of
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Flatland is a country with a number of cities, some of which have space stations. Cities are numbered consecutively and each has a road of length connecting it to the next city. It is not a circular route, so the first city doesn't connect with the last city.