Here on earth, our 24-hour day is composed of two parts, each of 12 hours. Each hour in each part has a corresponding hour in the other part separated by 12 hours: the hour essentially measures the duration since the start of the daypart. For example, 1 hour in the first part of the day is equivalent to 13, which is 1 hour into the second part of the day.Now, consider the equivalent hours that are both prime numbers. We have 3 such instances for a 24-hour 2-part day:5~177~1911~23Accept two natural numbers D, P >1 corresponding respectively to a number of hours per day and the number of parts in a day separated by a space. D should be divisible by P, meaning that the number of hours per part (D/P) should be a natural number. Calculate the number of instances of equivalent prime hours. Output zero if there is no such instance. Note that we require each equivalent hour in each part in a day to be a prime number.Constraints:InputThe single line consists of two space-separated integers, D and P corresponding to the number of. hours per day and number of parts in a day respectivelyOutputOutput must be a single number, corresponding to the number of instances of equivalent prime number, as described aboveConstraints10 <= D < 5002 <= P < 50Example:Example 1:Input: 24 2Output: 3 Example 2:Input36 3Output2Explanation:In the given second example D = 36 and P = 3Duration of each day part = 122~14~X3~15~X5~17~29 – instance of equivalent prime hours7~19~31 – instance of equivalent prime hours11~23~XHence the answers is 2.
Question
Here on earth, our 24-hour day is composed of two parts, each of 12 hours. Each hour in each part has a corresponding hour in the other part separated by 12 hours: the hour essentially measures the duration since the start of the daypart. For example, 1 hour in the first part of the day is equivalent to 13, which is 1 hour into the second part of the day.Now, consider the equivalent hours that are both prime numbers. We have 3 such instances for a 24-hour 2-part day:5~177~1911~23Accept two natural numbers D, P >1 corresponding respectively to a number of hours per day and the number of parts in a day separated by a space. D should be divisible by P, meaning that the number of hours per part (D/P) should be a natural number. Calculate the number of instances of equivalent prime hours. Output zero if there is no such instance. Note that we require each equivalent hour in each part in a day to be a prime number.Constraints:InputThe single line consists of two space-separated integers, D and P corresponding to the number of. hours per day and number of parts in a day respectivelyOutputOutput must be a single number, corresponding to the number of instances of equivalent prime number, as described aboveConstraints10 <= D < 5002 <= P < 50Example:Example 1:Input: 24 2Output: 3 Example 2:Input36 3Output2Explanation:In the given second example D = 36 and P = 3Duration of each day part = 122~14~X3~15~X5~17~29 – instance of equivalent prime hours7~19~31 – instance of equivalent prime hours11~23~XHence the answers is 2.
Solution
The problem is asking to find the number of instances where the equivalent hours in each part of the day are prime numbers.
Here are the steps to solve the problem:
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First, we need to calculate the number of hours per part, which is D/P.
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Then, we need to find the equivalent hours in each part. The equivalent hour in the second part is the hour in the first part plus the number of hours per part.
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We need to check if both the hour in the first part and the equivalent hour in the second part are prime numbers. A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself.
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If both numbers are prime, we count this as an instance of equivalent prime hours.
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We repeat steps 2 to 4 for each hour in the first part of the day.
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The final answer is the total number of instances of equivalent prime hours.
For example, if D = 24 and P = 2, the number of hours per part is 12. The equivalent hours are 1~13, 2~14, ..., 12~24. Among these, 5~17, 7~19, and 11~23 are the instances where both numbers are prime. So the answer is 3.
Similar Questions
nation:In the given second example D = 36 and P = 3Duration of each day part = 122~14~X3~15~X5~17~29 – instance of equivalent prime hours7~19~31 – instance of equivalent prime hours11~23~XHence the answers is 2.
Counting the Hours When men decided to divide the day into twenty-four hours, they used numbers one through twelve two times. As a result, there was one o’clock during the day and another one o’clock after midnight. This created confusion. If one was told to submit a project at six o’clock, did this mean six o’clock in the morning or at night? The Romans provided a solution to this problem. They thought that noon time, the time when the sun is at its apex, is an important time. They called noon Meridies and measured time by this. They called the morning ante meridiem, which means “before noon” while “after noon” was called post meridiem. Ante meridiem was shortened to A.M. while post meridiem was shortened to P.M. 10. The Romans thought of a solution. This means that they provided _____________________. (Inferential) a. an answer to the problem b. a better interpretation c. a new set of numbers d. another clock
How many times do the two hands of a clock coincide in a day? a.24 b.22 c.48 d.12a. b. c.
Given an integer array hours representing times in hours, return an integer denoting the number of pairs i, j where i < j and hours[i] + hours[j] forms a complete day.A complete day is defined as a time duration that is an exact multiple of 24 hours.For example, 1 day is 24 hours, 2 days is 48 hours, 3 days is 72 hours, and so on. Example 1:Input: hours = [12,12,30,24,24]Output: 2Explanation:The pairs of indices that form a complete day are (0, 1) and (3, 4).Example 2:Input: hours = [72,48,24,3]Output: 3Explanation:The pairs of indices that form a complete day are (0, 1), (0, 2), and (1, 2). Constraints:1 <= hours.length <= 1001 <= hours[i] <= 109
The time shown is in the 24-hour clock.Express the time in the 12-hour clock.23 42 → . p.m.
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