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);
    // cerr << mn << '\n';
    if (q < mn) {
        cout << "The truth is out there";
        return 0;
    }

    for (int i = 0; i < n - 1; i++) {
        cout << 1 << ' ';
    }
    cout << 1 + q - mn;

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

    //     for (int j = 0; j < sz(cur); j++) {
    //         nxt.push_back(cur[j] - nxt[j]);
    //     }
    //     for (int x : nxt) assert(x >= (1LL << tmp));
    //     for (int x : nxt) cerr << x << ' ';
    //     cerr << '\n';
    //     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: ACCEPTED

Test 6

Verdict: ACCEPTED

Test 7

Verdict: ACCEPTED

Test 8

Verdict: ACCEPTED

Test 9

Verdict: ACCEPTED

Test 10

Verdict: ACCEPTED

Test 11

Verdict: ACCEPTED

Test 12

Verdict: ACCEPTED

Test 13

Verdict: ACCEPTED

Test 14

Verdict: ACCEPTED

Test 15

Verdict: ACCEPTED

Test 16

Verdict: ACCEPTED