**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

## 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 →## Pair Sums

Given an array, we define its value to be the value obtained by following these instructions: Write down all pairs of numbers from this array. Compute the product of each pair. Find the sum of all the products. For example, for a given array, for a given array [7,2 ,-1 ,2 ] Note that ( 7 , 2 ) is listed twice, one for each occurrence of 2. Given an array of integers, find the largest v

View Solution →## Lazy White Falcon

White Falcon just solved the data structure problem below using heavy-light decomposition. Can you help her find a new solution that doesn't require implementing any fancy techniques? There are 2 types of query operations that can be performed on a tree: 1 u x: Assign x as the value of node u. 2 u v: Print the sum of the node values in the unique path from node u to node v. Given a tree wi

View Solution →## Ticket to Ride

Simon received the board game Ticket to Ride as a birthday present. After playing it with his friends, he decides to come up with a strategy for the game. There are n cities on the map and n - 1 road plans. Each road plan consists of the following: Two cities which can be directly connected by a road. The length of the proposed road. The entire road plan is designed in such a way that if o

View Solution →## Heavy Light White Falcon

Our lazy white falcon finally decided to learn heavy-light decomposition. Her teacher gave an assignment for her to practice this new technique. Please help her by solving this problem. You are given a tree with N nodes and each node's value is initially 0. The problem asks you to operate the following two types of queries: "1 u x" assign x to the value of the node . "2 u v" print the maxim

View Solution →