You can assume that at any point in its journey, each of the possible jump sizesВ the frog couldВ make on its next go are equally likely. The more complex problem in Matt's video asks: what is the expected number of jumps the frog makes? Zoe alsoВ wrote a blog about the different ways of explainingВ theВ appearance of Pascal's Triangle in thisВ puzzle and related puzzles: How many days does it take him to escape from the well Puzzle Solution: 28 days. (Spoiler: it's Pascal's Triangle).ДЇrog Jumps Solutions - find solutions and further teachers' notes here. At night, while he is asleep, he slips 2 meters backwards. Recording the results like this may help them spot patterns in their results.

It is a set of empty lily pad diagrams that students can draw the jumps on to.ДЇrog Jumps Results - This is a table where students can record their results for each number of lily pads.

Specific optimization process of SFLA is illustrated in Section 4. Two main steps are involved in SFLA, namely, local search and global search. They leap from lily pad to lily pad adding up the fractions as they go. The emergence of shuffled frog-leaping algorithm (SFLA) offers a promising and effective solution for multiobjective and combinatorial optimization problems. Given the prematurity and low precision of PMA, this paper introduces a local search mechanism of the leap-frog algorithm and crossover operator to improve the PMA search speed and global convergence properties. Count the numbers from left to right, using the numbers. These leaping frogs are playing a fraction game. The population migration algorithm (PMA) is a simulation of a population of the intelligent algorithm. Give each rock that a frog sits on a number. In the document we showВ all the ways the pond can be crossed when there are only two lily pads as an example.ДЇrog Jumps - Three Lily Pads - This document is designed to help students record all the ways of crossing the pond if there are three lily pads. The best way that I have found to answer the 'Leap Frog Test', would be to do the following:1. Students are advised to solve the problem forВ fewerВ lily pads first. The problem we have made (see Frog Jumps Task)В is a simplificationВ of theВ problem in the video.ДЇrog Jumps Task - Students are challenged to find the number of ways the frog can cross a pond with nine lily pads.

In Matt's Frog Problem video he poses and attempts to solve a complex problem about frogs.

Frog leap solution