Conspiracies everywhere

#include <bits/stdc++.h>

using namespace std;

#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;

ll ncr[100][100];

void fail() {
	cout << "The truth is out there" << endl;
	exit(0);
}

int main() {
	cin.tie(0)->sync_with_stdio(0);
	cin.exceptions(cin.failbit);
	int n;
	ll q;
	cin >> n >> q;
	for (int i = 0; i <= n - 1; ++i)
		ncr[i][0] = 1;
	for (int i = 1; i <= n - 1; ++i) {
		for (int j = 1; j <= n - 1; ++j) {
			ncr[i][j] = ncr[i - 1][j] + ncr[i - 1][j - 1];
			if (ncr[i][j] > q) fail();
		}
	}
	vector<ll> ans(n, 1);
	ll sum = 0;
	for (int i = 0; i <= n - 1; ++i) {
		sum += ncr[n - 1][i];
		if (sum > q) fail();
	}
	if (sum > q) fail();
	ans[0] += q - sum;
	for (auto x : ans) cout << x << " ";
	cout << endl;
}

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