Conspiracies everywhere

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

#define int long long
#define rep(i, a, b) for (int i = a; i < (b); i++)
#define all(x) begin(x), end(x)
#define sz(x) (int)(x).size()
typedef long long ll;
typedef pair<int, int> pii;
typedef vector<int> vi;

signed main() {
#ifdef LOCAL
freopen(".inp", "r", stdin);
freopen(".out", "w", stdout);
#endif

    int n, q;
    cin >> n >> q;

    int mn = 1LL << (n - 1);
    if (q < mn) {
        cout << "The truth is out there";
        return 0;
    }

    vector<int> cur;
    cur.push_back(q);
    
    for (int i = 0; i < n - 1; i++) {
        vector<int> nxt;
        nxt.push_back(cur[0] / 2);

        for (int j = 0; j < sz(cur); j++) {
            nxt.push_back(cur[j] - nxt[j]);
        }
        swap(cur, nxt);
    }

    for (int i : cur) cout << i << ' ';
}

Test 1

Verdict: ACCEPTED

Test 2

Verdict: ACCEPTED

Test 3

Verdict: ACCEPTED

Test 4

Verdict: ACCEPTED

Test 5

Verdict: WRONG ANSWER

Test 6

Verdict: ACCEPTED

Test 7

Verdict: ACCEPTED

Test 8

Verdict: ACCEPTED

Test 9

Verdict: WRONG ANSWER

Test 10

Verdict: WRONG ANSWER

Test 11

Verdict: ACCEPTED

Test 12

Verdict: WRONG ANSWER

Test 13

Verdict: ACCEPTED

Test 14

Verdict: ACCEPTED

Test 15

Verdict: ACCEPTED

Test 16

Verdict: ACCEPTED