#include <bits/stdc++.h>

int ri() {
	int n;
	scanf("%d", &n);
	return n;
}

std::string solve(int n, int x, const std::vector<int> &a_) {
	auto a = a_;
	if (n == 1) {
		std::string s(x, '0');
		if (a[0] <= x) s[a[0] - 1] = '1';
		return s;
	}
	std::sort(a.begin(), a.end());
	int64_t prod = 1;
	for (int i = 0; i < n; i++) {
		prod *= a[i] + 1;
		if (prod > x + 1) return std::string(x, '0');
	}
	if (std::count(a.begin(), a.end(), 1)) {
		std::string res(x, '0');
		for (int i = prod - 1; i <= x; i++) res[i - 1] = '1';
		return res;
	}
	
	std::map<int, int> nums;
	for (auto i : a) nums[i]++;
	std::vector<std::pair<int, int> > all;
	for (auto i : nums) all.push_back(i);
	std::map<std::vector<int>, std::vector<bool> > dp;
	int m = nums.size();
	for (int i = 0; i < m; i++) {
		std::vector<int> num(all.size());
		num[i] = 1;
		int size = x + 1;
		for (int j = 0; j < m; j++) for (int k = 0; k < all[j].second - num[j]; k++) size /= all[j].first;
		std::vector<bool> val(size);
		assert(all[i].first < size);
		val[all[i].first] = true;
		dp[num] = val;
	}
	for (auto &i : dp) {
		for (int j = 0; j < m; j++) {
			if (i.first[j] == all[j].second) continue;
			auto new_num = i.first;
			new_num[j]++;
			int new_size = x + 1;
			for (int k = 0; k < m; k++) for (int l = 0; l < all[k].second - new_num[k]; l++)
				new_size /= all[k].first;
			std::vector<bool> new_val(new_size);
			for (int k = 1; k < (int) i.second.size(); k++) {
				if (!i.second[k]) continue;
				int64_t target = (int64_t) (k + 1) * (all[j].first + 1) - 1;
				if (target < new_size) new_val[target] = true;
			}
			for (int k = 0; k < new_size - all[j].first; k++) if (new_val[k]) new_val[k + all[j].first] = true;
			auto &res = dp[new_num];
			if (!res.size()) res = new_val;
			else for (int k = 0; k < new_size; k++) if (new_val[k]) res[k] = true;
		}
	}
	std::vector<int> final(m);
	for (int i = 0; i < m; i++) final[i] = all[i].second;
	assert(dp.count(final));
	auto res = dp[final];
	assert((int) res.size() == x + 1);
	std::string ans;
	for (int i = 1; i <= x; i++) ans.push_back(res[i] ? '1' : '0');
	return ans;
}

int main() {
	int n = ri(), x = ri();
	assert(1 <= n && n <= 100);
	assert(1 <= x && x <= 500000);
	std::vector<int> a(n);
	for (int i = 0; i < n; i++) a[i] = ri(), assert(1 <= a[i] && a[i] <= x);
	clock_t r0 = clock();
	std::cout << solve(n, x, a) << std::endl;
	clock_t r1 = clock();
	std::cerr << (double)(r1 - r0) * 1000 / CLOCKS_PER_SEC << "ms" << std::endl;
	return 0;
}