Help me in understanding output in CONCUSSIVE problem

My issue

Input:
3
3
1 1 1
5
1 2 3 4 5
5
1 1 2 2 1

Output
-1
1 4 2 5 3
1 2 1 2 1

Can someone explain why this output is incorrect?

My code

#include <iostream>
#include<bits/stdc++.h>
using namespace std;

int main() {
	int t;
	cin>>t;
	while(t--){
	    int n;
	    cin>>n;
	    vector<int>v(n, 0);
	    for(int i=0; i<n; i++) cin>>v[i];
	    sort(v.begin(), v.end());
	    vector<int>a(n, 0);
	    int j=0;
	    for(int i=0; i<n ;i+=2){
	        a[i] = v[j++];
	    }
	    
	    for(int i=1; i<n; i+=2){
	        a[i] = v[j++];
	    }
	    bool flag = 1;
	    for(int i=1; i<n-1; i++){
	        if( (a[i] > a[i+1] && a[i] > a[i-1]) || (a[i] < a[i+1] && a[i] < a[i-1]) ){
	            flag = 1;
	        }
	        else {
	            flag = 0;
	            break ;
	        }
	    }
	    if(!flag) {
	        cout<<-1<<endl;
	    }
	    else{
	        for(int i=0; i<n; i++){
	            cout<<a[i];
	            if(i != n-1) cout<<" ";
	        }
	        cout<<endl;
	    }
	}
	return 0;
}

Problem Link: CONCUSSIVE Problem - CodeChef

@gargmanik6080
your logic is slightly wrong .
plzz refer the following solution for better understanding of the logic.

#include<bits/stdc++.h>
#include<ext/pb_ds/assoc_container.hpp>
#include<ext/pb_ds/tree_policy.hpp>
#include<algorithm>
#include<numeric>

using namespace std;
typedef long long int lli;
using namespace __gnu_pbds;
template<class T> using oset = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
//typedef long long int lli;
//typedef tree<int, null_type, less_equal<int>, rb_tree_tag, tree_order_statistics_node_update> multi_pbds;
//typedef tree<pair<int , int>, null_type, less<pair<int ,int>>, rb_tree_tag, tree_order_statistics_node_update> pbdsp;
//typedef tree< int, null_type, less<int>, rb_tree_tag, tree_order_statistics_node_update> pbds;
#define nl "\n";
#define fastio ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0)
#define db long double
#define prq priority_queue<lli>
#define psq priority_queue<lli,vector<lli>,greater<lli>>
#define mod 1000000007
#define lb lower_bound
#define ub upper_bound
#define vlli vector<lli>
#define mslli multiset<lli>
#define inf 1e17
#define sp " "
#define pb push_back
#define pie 3.14159265358979323846
#define test lli t; cin>>t; while(t--)

int32_t main()
{
   #ifndef ONLINE_JUDGE
    freopen("input.txt", "r", stdin);
    freopen("output.txt", "w", stdout);
#endif
    test{
        lli n,ch=0;
        cin>>n;
        lli a[n];
        for(lli i=0;i<n;i++)
        {
            cin>>a[i];
        }
        sort(a,a+n);
        lli b[n];
        lli j=0;
        for(int i=0;i<n;i+=2)
        {
            b[i]=a[j];
            j++;
        }
        for(int i=1;i<n;i+=2)
        {
            b[i]=a[j];
            j++;
        }
        for(int i=1;i<n-1;i++)
        {
            if(b[i]>b[i-1]&&b[i]>b[i+1])
            {
                continue;
            }
            else if(b[i]<b[i-1]&&b[i]<b[i+1])
                continue;
            else
            {
                ch=1;
            }
        }
        if(ch)
        {
            j=0;
            for(int i=1;i<n;i+=2)
            {
                b[i]=a[j];
                j++;
            }
            for(int i=0;i<n;i+=2)
            {
                b[i]=a[j];
                j++;
            }
            for(int i=1;i<n-1;i++)
            {
                if(b[i]>b[i-1]&&b[i]>b[i+1])
                {
                    continue;
                }
                else if(b[i]<b[i-1]&&b[i]<b[i+1])
                    continue;
                else
                {
                    ch=2;
                }
            }
            if(ch==1)
            {
                for(int i=0;i<n;i++)
                {
                    cout<<b[i]<<" ";
                }
            }
            else
                cout<<-1;
        }
        else
        {
            for(int i=0;i<n;i++)
            {
                cout<<b[i]<<" ";
            }
        }
        cout<<endl;
    }

}