Puzzle | Minimum distance for Lizard

19 Apr, 2021
A lizard is present on one corner of cube, It wants to reach diagonally opposite corner of cube. You have to calculate minimum distance lizard has to cover to reach its destination.Note : Lizard can’t fly, it moves along the wall.You are given a representing side of cube.you have to calculate minimum distance lizard has to travel. Examples:  
Input : 5
Output :11.1803

Input :2
Output :4.47214
 
As we have to calculate the minimum distance from one corner to another diagonally opposite corner. if lizard able to fly then the shortest distance will be length of diagonal. But it can’t.  
So, to calculate minimum distance, just open the cube, as describe in diagram. Let us suppose, lizard is initially at point E.and it has to reach at point A(as A is diagonally opposite to E).Now we have to find AE. Just use Pythagoras theorem, As AC=a CE=CD+DE=2a 
    
 
C++
Java
Python3
C#
PHP
Javascript
// CPP program to find minimum distance to be travlled// by lizard.#include <bits/stdc++.h>#define ll long long intusing namespace std;int main(){    // side of cube    ll a = 5;     // understand from diagram    ll AC = a;     // understand from diagram    ll CE = 2 * a;     // minimum distance    double shortestDistace = sqrt(AC * AC + CE * CE);     cout << shortestDistace << endl;    return 0;}
//Java program to find minimum//distance to be travelled by lizardimport java.util.*; class solution{public static void main(String arr[]){    // side of the cube    int a = 5;     // understand from diagram    int AC = a;     // understand from diagram    int CE = 2 * a;     // minimum distance    double shortestDistace = Math.sqrt(AC * AC + CE * CE);     System.out.println(shortestDistace);}}
# Python3 program to find minimum# distance to be travelled by lizard import math #side of cubeif __name__=='__main__':    a = 5 #understand from diagram    AC = a #understand from diagram    CE = 2 * a #minimum distance    shortestDistace = math.sqrt(AC * AC + CE * CE)     print(shortestDistace) #this code is Contributed by Shashank_Sharma
// C# program to find minimum// distance to be travelled by lizardusing System; class GFG{public static void Main(){    // side of the cube    int a = 5;     // understand from diagram    int AC = a;     // understand from diagram    int CE = 2 * a;     // minimum distance    double shortestDistace = Math.Sqrt(AC * AC + CE * CE);     Console.Write(shortestDistace);}} // This code is contributed by ita_c
<?php// PHP program to find minimum distance// to be travlled by lizard. // side of cube$a = 5; // understand from diagram$AC = $a; // understand from diagram$CE = 2 * $a; // minimum distance$shortestDistance = (double)(sqrt($AC * $AC +                                  $CE * $CE)); echo $shortestDistance . "\n"; // This code is contributed// by Akanksha Rai?>
<script> // Javascript program to find minimum distance to be travlled// by lizard. // side of cubevar a = 5; // understand from diagramvar AC = a; // understand from diagramvar CE = 2 * a; // minimum distancevar shortestDistace = Math.sqrt(AC * AC + CE * CE); document.write( shortestDistace.toFixed(4)); </script>
11.1803
 
Shashank_Sharma
SURENDRA_GANGWAR
ukasp
Akanksha_Rai
itsok
Geometric
Puzzles
Geometric
Puzzles
Writing code in comment?
Please use ide.geeksforgeeks.org,
generate link and share the link here.
Optimum location of point to minimize total distance
Check whether a given point lies inside a triangle or not
Program for Point of Intersection of Two Lines
Window to Viewport Transformation in Computer Graphics with Implementation
Given n line segments, find if any two segments intersect
SDE SHEET - A Complete Guide for SDE Preparation
Puzzle 1 | (How to Measure 45 minutes using two identical wires?)
Algorithm to solve Rubik's Cube
Puzzle 2 | (Find ages of daughters)
Puzzle 3 | (Calculate total distance travelled by bee)