// Copyright (C) 2017 __debug.

// This program is free software; you can redistribute it and/or
// modify it under the terms of the GNU General Public License as
// published by the Free Software Foundation; version 3

// This program is distributed in the hope that it will be useful,
// but WITHOUT ANY WARRANTY; without even the implied warranty of
// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
// GNU General Public License for more details.

// You should have received a copy of the GNU General Public License
// along with this program; If not, see <http://www.gnu.org/licenses/>.


#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/priority_queue.hpp>

#define x first
#define y second
#define MP std::make_pair
#define SZ(x) ((int)(x).size())
#define ALL(x) (x).begin(), (x).end()
#define DEBUG(...) fprintf(stderr, __VA_ARGS__)
#ifdef __linux__
#define getchar getchar_unlocked
#define putchar putchar_unlocked
#endif

using std::pair;
using std::vector;
using std::string;

typedef long long LL;
typedef pair<int, int> Pii;

const int oo = 0x3f3f3f3f;

template<typename T> inline bool chkmax(T &a, T b) { return a < b ? a = b, true : false; }
template<typename T> inline bool chkmin(T &a, T b) { return b < a ? a = b, true : false; }
string procStatus()
{
    std::ifstream t("/proc/self/status");
    return string(std::istreambuf_iterator<char>(t), std::istreambuf_iterator<char>());
}
template<typename T> T read(T &x)
{
    int f = 1;
    char ch = getchar();
    for (; !isdigit(ch); ch = getchar())
        f = (ch == '-' ? -1 : 1);
    for (x = 0; isdigit(ch); ch = getchar())
        x = 10 * x + ch - '0';
    return x *= f;
}
template<typename T> void write(T x)
{
    if (x == 0) {
        putchar('0');
        return;
    }
    if (x < 0) {
        putchar('-');
        x = -x;
    }
    static char s[20];
    int top = 0;
    for (; x; x /= 10)
        s[++top] = x % 10 + '0';
    while (top)
        putchar(s[top--]);
}
// EOT

const int MAXN = 1e5 + 5;
const int MAXM = 4e5 + 5;

struct Edge {
    int v, next;
    Edge() { }
    Edge(int v_, int next_): v(v_), next(next_) { }
};

int N, M;
int tote, head[MAXN];
Edge edge[MAXM];

inline void addEdge(int u, int v)
{
    edge[++tote] = Edge(v, head[u]);
    head[u] = tote;
}

void input()
{
    read(N); read(M);
    tote = 1;
    for (int i = 1; i <= M; ++i) {
        int u, v;
        read(u); read(v);
        addEdge(u, v);
        addEdge(v, u);
    }
}

bool vis[MAXN];
int color[MAXN];

void dfs1(int u)
{
    if (vis[u])
        return;
    vis[u] = true;
    for (int i = head[u]; i; i = edge[i].next) {
        int v = edge[i].v;
        dfs1(v);
    }
}

bool dfs2(int u)
{
    for (int i = head[u]; i; i = edge[i].next) {
        int v = edge[i].v;
        if (color[v]) {
            if (color[u] == color[v])
                return false;
        } else {
            color[v] = 3 - color[u];
            if (!dfs2(v))
                return false;
        }
    }
    return true;
}

void solve()
{
    LL totv = N, tot1 = 0, tot2 = 0;
    LL ans = 0;
    for (int i = 1; i <= N; ++i) {
        if (vis[i])
            continue;
        if (!head[i]) {
            ans += 2 * totv - 1;
            --totv;
            continue;
        }
        dfs1(i);
        color[i] = 1;
        if (dfs2(i))
            ++tot2;
        else
            ++tot1;
    }

    ans += tot2 * tot2 * 2 + tot2 * tot1 + tot1 * tot2 + tot1 * tot1;

    printf("%lld\n", ans);
}

int main()
{
#ifdef __DEBUG
    freopen("C.in", "r", stdin);
    freopen("C.out", "w", stdout);
#endif

    input();
    solve();

    return 0;
}

// 子张学干禄。子曰：“多闻阙疑，慎言其余，则寡尤；多见阙殆，慎行其余，则寡悔。言寡尤，行寡悔，禄在其中矣。”
// --论语，为政篇


Measured memory_bytes: 5120