Write a C Program that determine whether a number is a sum of m consecutive numbers/
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- ✓ Allowed languages C Problem Statement Write a C Program that will compute for npr (n taken r permutations). Input Input starts with a number N and is followed by N pairs of numbers n and r. Output Output n Pr Limits 1✓ Allowed languages C Problem Statement Write a C Program that determine whether a number is a sum of m consecutive numbers/ Input Input starts with a number N and is followed by N positive integers Output 1 if the number is the sum of m consecutive numbers, 0 otherwise Limits 1✓ Allowed languages C Problem Statement Count the number of distinct digits in a number. Input Input starts with a number N and is followed by N numbers Output Output the number of distinct digits in a given number Limits 1Collatz Sequence Please create a C-program with the use of looping statements and conditional statements. Please do NOT use pointers, please! :) The Collatz conjecture is a conjecture in mathematics named after Lothar Collatz, who first proposed it in 1937. The conjecture is also known as the 3n + 1 conjecture, the Ulam conjecture (after Stanisław Ulam), Kakutani’s problem (after Shizuo Kakutani), the Thwaites conjecture (after Bryan Thwaites), Hasse’s algorithm (after Helmut Hasse), or the Syracuse problem; the sequence of numbers involved is referred to as the hailstone sequence or hailstone numbers (because the values are usually subject to multiple descents and ascents like hailstones in a cloud), or as wondrous numbers. Mathematics The Collatz function is defined for a positive integer n as follows. f(n) = 3n+1 if n is odd n/2 if n is even We consider the repeated application of the Collatz function starting with a given integer n, as follows: f(n),…✓ Allowed languages C Problem Statement Write a C Program that will compute for the GCD of M numbers Input Input starts with a number N and is followed by N sets of numbers (M, A₁, A₁,...AM). We need to compute for the GCD of A₁, A₂....AM Output The set of N numbers indicating the GCD of each of the inputs Limits 1✓ Allowed languages C Problem Statement Write a C Program that will determine the largest digit in a number Input Input starts with a number N and is followed N positive integers. Output Largest digit Limits 1 <= N <= 20 All inputs are less than 1000000 Notes Problems will have test cases that are not listed in their specification. Your solution must produce the right output for these hidden test cases. Sample Input #1 5 1 23 780 32 10000 Sample Output #1 1 8 3 1 Copy Copy✓ Allowed languages C Problem Statement Write a C Program that will count the number of characters (not including spaces) contained in the word equivalent of the input. Input Input starts with a number N and is followed N positive integers. Output number of characters in the word equivalent Limits 1 <= N <= 20 All inputs are less than 1000000 Notes Problems will have test cases that are not listed in their specification. Your solution must produce the right output for these hidden test cases. Sample Input #1 5 1 23 780 32 10000 Sample Output #1 3 11 18 8 11 Copy CopyAllowed languages C Problem Statement Write a C Program that will compute for the GCD of M numbers Input Input starts with a number N and is followed by N sets of numbers (M, A₁, A₁,...AM). We need to compute for the GCD of A₁, A2,...AM Output The set of N numbers indicating the GCD of each of the inputs Limits 1 < N, M< 20 1 \le A; \le 1000000 Notes Problems will have test cases that are not listed in their specification. Your solution must produce the right output for these hidden test cases. Sample Input #1 3 2 10 20 3 10 20 30 4 11 12 13 14 Sample Output #1 10 10 1 Copy CopyC++ only Upvote for your own work and correct answer/ Downvote for copying the answer from a different website. It must be in C++ and it must be a working code. It needs to follow the required directions for example: MAKE SURE IT POINTS OUT EVERY TIME THE STATEMENT IS INVALID IF IT IS INDEED INVALID. Thank You. Assignment: Create a C++ program that can test the validity of propositional logic. Remember, a propositional logical statement is invalid should you find any combination of input where the PROPOSITIONAL statements are ALL true, while the CONCLUSION statement is false. Propositional Statements: If someone has a rocket, that implies they’re an astronaut. If someone is an astronaut, that implies they’re highly trained. If someone is highly trained, that implies they’re educated. Conclusion Statement: A person is educated, which implies they have a rocket. Your output should declare the statement to either be valid or invalid. If it’s invalid, it needs to state which combination…Allowed languages с Problem Statement Write a C Program that will compute for npr (n taken r permutations). Input Input starts with a number N and is followed by N pairs of numbers n and r. Output Output n.Pr Limits 1 < N < 20 1 \le r \le n \le 1000000 Notes Problems will have test cases that are not listed in their specification. Your solution must produce the right output for these hidden test cases. Sample Input #1 5 4 1 43 9 3 22 9 10 Sample Output #1 4 24 504 2 not valid Copy Copy> Output: Print the pattern and the repeated count if there is a repeated pattern, Print "none" otherwise.> Design an algorithm in pseudocode/code and write down the Algorithm analysis. The complexity of the algorithm must be in O(n).> The repeated pattern is valid only from the first character. C++ language plss. Thankyou.Computer Science **C language not C++!** ** Write C program (NOT C++) which takes as input a positive integer n and decides whether or not n is prime. The decision is made by the int isPrime(int) function whose return value is 1 if the number is prime, otherwise 0. **C language not C++!** **SEE MORE QUESTIONSRecommended textbooks for youC++ for Engineers and ScientistsComputer ScienceISBN:9781133187844Author:Bronson, Gary J.Publisher:Course Technology PtrC++ Programming: From Problem Analysis to Program…Computer ScienceISBN:9781337102087Author:D. S. MalikPublisher:Cengage LearningC++ for Engineers and ScientistsComputer ScienceISBN:9781133187844Author:Bronson, Gary J.Publisher:Course Technology PtrC++ Programming: From Problem Analysis to Program…Computer ScienceISBN:9781337102087Author:D. S. MalikPublisher:Cengage Learning