/* be name khoda */

// #define stream_enable
#define long_enable
#include <iostream>
#include <algorithm>
#include <cstring>
#include <numeric>
#include <iomanip>
#include <sstream>
#include <vector>
#include <queue>
#include <set>
#include <map>
using namespace std;

#ifdef stream_enable
#define cin sss
#endif
#ifdef long_enable
typedef long long int ll;
#else
typedef int ll;
#endif

typedef pair<ll, ll> pii;
typedef pair<pii, ll> ppi;
typedef pair<ll, pii> pip;
typedef vector<ll> vi;
typedef vector<pii> vpii;

const ll MOD = 1000000007;
const long long BIG = 1446803456761533460;
const int Big = 336860180;

#define F first
#define S second
#define pb push_back
#define eb emplace_back
#define all(x) (x).begin(), (x).end()

#define debug(x) cout << #x << " -> " << (x) << endl
#define debug2(x, y) cout << #x << ' ' << #y << " -> " << (x) << ' ' << (y) << endl
#define debug3(x, y, z) cout << #x << ' ' << #y << ' ' << #z << " -> " << (x) << ' ' << (y) << ' ' << (z) << endl
#define debug4(x, y, z, t) cout << #x << ' ' << #y << ' ' << #z << ' ' << #t << " -> " << (x) << ' ' << (y) << ' ' << (z) << ' ' << (t) << endl
#define debugp(x) cout << #x << " -> " << "(" << (x).F << ", " << (x).S << ")" << endl
#define debuga(x, n) cout << #x << " -> "; fori (i1_da, n) { cout << (x)[i1_da] << ' '; } cout << endl
#define debugap(x, n) cout << #x << " ->\n"; fori (i1_dap, n) { cout << "(" << (x)[i1_dap].F << ", " << (x)[i1_dap].S << ")\n"; } cout << endl
#define debugaa(x, n, m) cout << #x << " ->\n"; fori (i1_daa, n) { fori (i2_daa, m) { cout << (x)[i1_daa][i2_daa] << ' '; } cout << '\n'; } cout << endl
#define debugav(x, n) cout << #x << " ->\n"; fori (i1_dav, n) { fori (i2_dav, (x)[i1_dav].size()) { cout << (x)[i1_dav][i2_dav] << ' '; } cout << '\n'; } cout << endl
#define debugia(x, n) cout << #x << " ->\n"; fori (i1_dia, n) { cout << i1_dia << " : " << (x)[i1_dia] << '\n'; } cout << endl

#define forifrom(i, s, n) for(ll i = (s); i < (n); ++i)
#define forirto(i, n, e) for(ll i = (n) - 1; i >= (e); --i)
#define fori(i, n) forifrom (i, 0, n)
#define forir(i, n) forirto (i, n, 0)

#define smin(a, b) a = min(a, (b))
#define smax(a, b) a = max(a, (b))

#define Add(a, b) a = ((a) + (b)) % MOD
#define Mul(a, b) a = (1LL * (a) * (b)) % MOD

stringstream sss;

// -----------------------------------------------------------------------

const ll maxn = 100010;

ll n, m;
vi g[maxn];
ll col[maxn];
bool bi[maxn];

void dfs(ll x) {
    for (auto y : g[x]) {
        if (col[y] != 3 - col[x]) {
            if (col[y] == 0) col[y] = 3 - col[x], dfs(y);
            else bi[y] = true;
        }
        if (bi[y]) bi[x] = true;
    }
}

void MAIN() {

    cin >> n >> m;
    fori (i, m) {
        ll a, b; cin >> a >> b, --a, --b;
        g[a].eb(b), g[b].eb(a);
    }
    ll tak = 0, even = 0, odd = 0;
    fori (i, n) {
        if (g[i].empty()) ++tak;
        else if (col[i] == 0) {
            col[i] = 1;
            dfs(i);
            if (bi[i]) ++odd;
            else ++even;
        }
    }
    ll ans = 0;
    ans += tak * (n - tak) * 2 + tak * tak;
    ans += even * 2;
    ans += odd;
    ans += even * (even - 1) * 2;
    ans += odd * (odd - 1);
    ans += even * odd * 2;
    cout << ans << '\n';

}

// -----------------------------------------------------------------------

int main() {
    ios_base::sync_with_stdio(false), cin.tie(0), cout.tie(0);
    cout << fixed << setprecision(10);
    sss << R"(
7 5
1 2
3 4
3 5
4 5
2 6
    )";
    MAIN();
    return 0;
}



Measured memory_bytes: 12544