Contenido del Curso
Dynamic Programming
Dynamic Programming
Problem A. Binomial Coefficient
The tasks in this section contain test function calls. Please do not change this code; otherwise, the assignment may not be accepted.
In previous sections, we solved the problems that can be described as functions with 1 parameter (fib(n), rabbit(n)). Sometimes, the function depends on 2 or more parameters, for example, this one.
Swipe to start coding
Create the program to calculate Binomial coefficient C(n, k) using dynamic programming. Since the function contains two parameters, the problem requires a two-dimensional array dp[n+1][n+1] to store the values.
- Define the base cases:
C(n,0) = C(n,n) = 1 - Use the rule:
C(n,k) = C(n-1,k-1) + C(n-1,k).
Use Optimal Substructure and Overlapping Subproblems principles. If you’re unsure about how to store sub-solutions, open Hint.
Example 1. n=3, k=2 -> res = 3
Example2. n=10, k=4 -> res = 210
Solución
Cambia al escritorio para practicar en el mundo realContinúe desde donde se encuentra utilizando una de las siguientes opciones¡Gracias por tus comentarios!
Problem A. Binomial Coefficient
The tasks in this section contain test function calls. Please do not change this code; otherwise, the assignment may not be accepted.
In previous sections, we solved the problems that can be described as functions with 1 parameter (fib(n), rabbit(n)). Sometimes, the function depends on 2 or more parameters, for example, this one.
Swipe to start coding
Create the program to calculate Binomial coefficient C(n, k) using dynamic programming. Since the function contains two parameters, the problem requires a two-dimensional array dp[n+1][n+1] to store the values.
- Define the base cases:
C(n,0) = C(n,n) = 1 - Use the rule:
C(n,k) = C(n-1,k-1) + C(n-1,k).
Use Optimal Substructure and Overlapping Subproblems principles. If you’re unsure about how to store sub-solutions, open Hint.
Example 1. n=3, k=2 -> res = 3
Example2. n=10, k=4 -> res = 210
Solución
Cambia al escritorio para practicar en el mundo realContinúe desde donde se encuentra utilizando una de las siguientes opciones¡Gracias por tus comentarios!
Cambia al escritorio para practicar en el mundo realContinúe desde donde se encuentra utilizando una de las siguientes opciones