#include <cassert>
#include <iostream>
#include <utility>
#include <vector>

using vertex = size_t;
using vertex_set = size_t;
using edge = std::pair<vertex, vertex>;

#include <atcoder/dsu>

uint32_t naive(const size_t n, const size_t m, const std::vector<edge> &edges) {
    using edge_set = size_t;

    std::vector<std::vector<size_t>> cycles(n);
    for (edge_set s = 0; s < 1u << m; ++s) {
        atcoder::dsu uf(n);
        std::vector<size_t> deg(n);
        for (size_t i = 0; i < m; ++i) if ((s >> i) & 1) {
            const auto &[u, v] = edges[i];
            ++deg[u], ++deg[v];
            uf.merge(u, v);
        }
        bool is_cycle = true;
        std::vector<vertex> vs;
        for (vertex v = 0; v < n; ++v) {
            if (deg[v] == 2) vs.push_back(v);
            else is_cycle &= deg[v] == 0;
        }
        for (size_t i = 1; i < vs.size(); ++i) {
            is_cycle &= uf.same(vs[i - 1], vs[i]);
        }
        if (is_cycle) for (vertex v : vs) cycles[v].push_back(s);
    }
    uint32_t ans = 0;
    for (edge_set s = 0; s < 1u << m; ++s) {
        bool ok = true;
        for (vertex v = 0; v < n; ++v) {
            size_t cycle_count = 0;
            for (size_t c : cycles[v]) cycle_count += (c & s) == c;
            ok &= cycle_count <= 1;
        }
        ans += ok;
    }
    return ans;
}

int main() {
    size_t n, m;
    std::cin >> n >> m;
    std::vector<edge> edges(m);
    for (auto &[u, v] : edges) {
        std::cin >> u >> v;
        --u, --v;
    }
    std::cout << naive(n, m, edges) << '\n';
}