#include<bits/stdc++.h>

using namespace std;

typedef long long ll;

int sg[];

int num[];

bool vis[];

int main() {

        sg[] = ;

        for (int i = ; i <= ; i++) {

                memset(vis, , sizeof(vis));

                for (int j = i - ; j >= ; j--) {

                        for (int k = j; k >= ; k--) {

                                vis[sg[j]^sg[k]] = ;

                        }

                }

                for (int j = ; j <= ; j++) {

                        if (!vis[j]) {

                                sg[i] = j;

                                break;

                        }

                }

        }

        int TNT;

        scanf("%d", &TNT);

        while (TNT--) {

                int ans = ;

                int n;

                scanf("%d", &n);

                for (int i = ; i < n; i++) {

                        scanf("%d", &num[i]);

                        if (num[i] & ) {

                                ans ^= sg[n - i - ];

                        }

                }

                int a1 = -, b1, c1;

                int cnt = ;

                for (int i = ; i < n - ; i++) {

                        if (num[i]) {

                                for (int j = i +  ; j < n; j++) {

                                        for (int k = j; k < n ; k++) {

                                                if ((ans ^ sg[n - i - ]^ sg[n - j - ] ^ sg[n - k - ]) == ) {

                                                        cnt++;

                                                        if (a1 == -) {

                                                                a1 = i, b1 = j, c1 = k;

                                                        }

                                                }

                                        }

                                }

                        }

                }

                if (cnt == ) {

                        printf("-1 -1 -1\n");

                } else {

                        printf("%d %d %d\n", a1, b1, c1);

                }

                printf("%d\n", cnt);

        }

}