Maximum Perimeter Triangle
Problem Statement :
Given an array of stick lengths, use of them to construct a non-degenerate triangle with the maximum possible perimeter. Return an array of the lengths of its sides as integers in non-decreasing order. If there are several valid triangles having the maximum perimeter: Choose the one with the longest maximum side. If more than one has that maximum, choose from them the one with the longest minimum side. If more than one has that maximum as well, print any one them. If no non-degenerate triangle exists, return . Function Description Complete the maximumPerimeterTriangle function in the editor below. maximumPerimeterTriangle has the following parameter(s): int sticks[n]: the lengths of sticks available Returns int[3] or int[1]: the side lengths of the chosen triangle in non-decreasing order or -1 Input Format The first line contains single integer , the size of array . The second line contains space-separated integers , each a stick length.
Solution :
Solution in C :
In C :
#include <stdio.h>
#include <string.h>
#include <math.h>
#include <stdlib.h>
int comp(void *a,void *b)
{
return (*(int *)a-*(int *)b);
}
int main() {
int n;
scanf("%d",&n);
int i,a[n];
for(i=0;i<n;i++)
scanf("%d",&a[i]);
qsort((void *)a,n,sizeof(a[0]),comp);
int x,y,z;
for(i=n-1;i>=2;i--)
{
if(a[i-2]+a[i-1]>a[i])
break;
}
if(i==1)
printf("-1");
else
printf("%d %d %d",a[i-2],a[i-1],a[i]);
return 0;
}
Solution in C++ :
In C++ :
/*
*/
#define _CRT_SECURE_NO_WARNINGS
#include <fstream>
#include <iostream>
#include <string>
#include <complex>
#include <math.h>
#include <set>
#include <vector>
#include <map>
#include <queue>
#include <stdio.h>
#include <stack>
#include <algorithm>
#include <list>
#include <ctime>
#include <memory.h>
#include <assert.h>
#define y0 sdkfaslhagaklsldk
#define y1 aasdfasdfasdf
#define yn askfhwqriuperikldjk
#define j1 assdgsdgasghsf
#define tm sdfjahlfasfh
#define lr asgasgash
#define norm asdfasdgasdgsd
#define eps 1e-9
#define M_PI 3.141592653589793
#define bs 1000000007
#define bsize 256
using namespace std;
const int INF = 1e9;
const int N = 500031;
int n;
vector<int> v;
int ar[100];
vector<vector<int> > res;
int main(){
//freopen("fabro.in","r",stdin);
//freopen("fabro.out","w",stdout);
//freopen("F:/in.txt", "r", stdin);
//freopen("F:/output.txt", "w", stdout);
ios_base::sync_with_stdio(0);
//cin.tie(0);
cin >> n;
for (int i = 0; i < n; i++)
{
cin >> ar[i];
}
for (int i = 0; i < n; i++)
{
for (int j = 0; j < n; j++)
{
for (int q = 0; q < n; q++)
{
if (i == j || i == q || j == q)
continue;
if (ar[i] + ar[j] <= ar[q] || ar[i] + ar[q] <= ar[j] || ar[j] + ar[q] <= ar[i])
continue;
vector<int> v;
v.push_back(ar[i] + ar[j] + ar[q]);
v.push_back(ar[i]);
v.push_back(ar[j]);
v.push_back(ar[q]);
res.push_back(v);
}
}
}
sort(res.begin(), res.end());
if (res.size() == 0)
{
cout << -1 << endl;
return 0;
}
vector<int> v = res.back();
cout << v[3] << " " << v[2] << " " << v[1] << endl;
cin.get(); cin.get();
return 0;
}
Solution in Java :
In Java :
import java.io.*;
import java.util.*;
import java.text.*;
import java.math.*;
import java.util.regex.*;
public class Solution {
public static void main(String[] args) {
Scanner sc = new Scanner(System.in);
int n = sc.nextInt();
int[] a = new int[n];
for (int i = 0; i < n; i++) {
a[i] = sc.nextInt();
}
Arrays.sort(a);
int ans = -1;
for (int i = 2; i < n; i++) {
if (a[i-2]+a[i-1]>a[i])
ans = i;
}
if (ans == -1)
System.out.println(-1);
else
System.out.println(a[ans-2]+" "+a[ans-1]+" "+a[ans]);
}
}
Solution in Python :
In Python3 :
from itertools import *
n = int(input())
l = sorted(map(int, input().split()))
ans = (-1, -1, -1)
for i, j, k in product(*repeat(range(n), 3)):
if i < j < k and l[i] + l[j] > l[k]:
ans = max(ans, (l[k], l[i], l[j]))
if ans[0] == -1:
print(-1)
else:
print(ans[1], ans[2], ans[0])
View More Similar Problems
Polynomial Division
Consider a sequence, c0, c1, . . . , cn-1 , and a polynomial of degree 1 defined as Q(x ) = a * x + b. You must perform q queries on the sequence, where each query is one of the following two types: 1 i x: Replace ci with x. 2 l r: Consider the polynomial and determine whether is divisible by over the field , where . In other words, check if there exists a polynomial with integer coefficie
View Solution →Costly Intervals
Given an array, your goal is to find, for each element, the largest subarray containing it whose cost is at least k. Specifically, let A = [A1, A2, . . . , An ] be an array of length n, and let be the subarray from index l to index r. Also, Let MAX( l, r ) be the largest number in Al. . . r. Let MIN( l, r ) be the smallest number in Al . . .r . Let OR( l , r ) be the bitwise OR of the
View Solution →The Strange Function
One of the most important skills a programmer needs to learn early on is the ability to pose a problem in an abstract way. This skill is important not just for researchers but also in applied fields like software engineering and web development. You are able to solve most of a problem, except for one last subproblem, which you have posed in an abstract way as follows: Given an array consisting
View Solution →Self-Driving Bus
Treeland is a country with n cities and n - 1 roads. There is exactly one path between any two cities. The ruler of Treeland wants to implement a self-driving bus system and asks tree-loving Alex to plan the bus routes. Alex decides that each route must contain a subset of connected cities; a subset of cities is connected if the following two conditions are true: There is a path between ever
View Solution →Unique Colors
You are given an unrooted tree of n nodes numbered from 1 to n . Each node i has a color, ci. Let d( i , j ) be the number of different colors in the path between node i and node j. For each node i, calculate the value of sum, defined as follows: Your task is to print the value of sumi for each node 1 <= i <= n. Input Format The first line contains a single integer, n, denoti
View Solution →Fibonacci Numbers Tree
Shashank loves trees and math. He has a rooted tree, T , consisting of N nodes uniquely labeled with integers in the inclusive range [1 , N ]. The node labeled as 1 is the root node of tree , and each node in is associated with some positive integer value (all values are initially ). Let's define Fk as the Kth Fibonacci number. Shashank wants to perform 22 types of operations over his tree, T
View Solution →