#define _CRT_SECURE_NO_WARNINGS

#include <iostream>
#include <random>
#include <numeric>
#include <queue>
#include <map>
#include <list>
#include <vector>
#include <string>
#include <stack>
#include <limits>
#include <climits>
#include <cassert>
#include <fstream>
#include <cstring>
#include <cmath>
#include <bitset>
#include <iomanip>
#include <algorithm>
#include <functional>
#include <cstdio>
#include <ciso646>
#include <set>
#include <array>
#include <unordered_map>
#include <unordered_set>
#include <type_traits>

using namespace std;

#define FOR(i, a, b) for (int i = (a); i < (b); i++)
#define RFOR(i, a, b) for (int i = (b)-1; i >= (a); i--)
#define REP(i, n) for (int i = 0; i < (n); i++)
#define RREP(i, n) for (int i = (n)-1; i >= 0; i--)
#define inf 0x3f3f3f3f3f3f3f3f
#define ALL(a) (a).begin(), (a).end()
#define DEBUG(x) // cerr<<#x<<": "<<x<<endl
#define ll long long
#define ull unsigned long long
using pii = pair<ll, ll>;
#define eps 1e-14
#define SETUP cin.tie(0), ios::sync_with_stdio(false), cout << setprecision(15) << std::fixed;

template <class T>
using vec2 = std::vector<vector<T>>;

namespace
{
struct input_returnner
{
	ll N;
	input_returnner(ll N_ = 0) : N(N_) {}
	template <typename T>
	operator vector<T>() const
	{
		vector<T> res(N);
		for (auto &a : res)
			cin >> a;
		return std::move(res);
	}
	template <typename T>
	operator T() const
	{
		T res;
		cin >> res;
		return res;
	}
	template <typename T>
	T operator-(T right) { return T(input_returnner()) - right; }
	template <typename T>
	T operator+(T right) { return T(input_returnner()) + right; }
	template <typename T>
	T operator*(T right) { return T(input_returnner()) * right; }
	template <typename T>
	T operator/(T right) { return T(input_returnner()) / right; }
	template <typename T>
	T operator<<(T right) { return T(input_returnner()) << right; }
	template <typename T>
	T operator>>(T right) { return T(input_returnner()) >> right; }
};
template <typename T>
input_returnner in() { return in<T>(); }
input_returnner in() { return input_returnner(); }
input_returnner in(ll N) { return std::move(input_returnner(N)); }
} // namespace

template <typename T>
istream &operator>>(istream &is, vector<T> &vec)
{
	for (T &x : vec)
		is >> x;
	return is;
}

template <typename T>
struct is_vector : std::false_type
{
};

template <typename T>
struct is_vector<std::vector<T>> : std::true_type
{
};

template <typename T>
constexpr bool is_vector_v = is_vector<T>::value;

template <typename T>
std::ostream &operator<<(std::ostream &out, const std::vector<T> &v)
{
	if (!v.empty())
	{
		for (int i = 0; i < v.size(); ++i)
		{
			out << v[i] << (i == v.size() - 1 ? "\n" : (is_vector_v<T> ? "" : ", "));
		}
	}
	return out;
}

namespace std
{
// ref: https://stackoverflow.com/questions/7110301/generic-hash-for-tuples-in-unordered-map-unordered-set
template <class T>
inline void hash_combine(std::size_t &seed, T const &v)
{
	seed ^= std::hash<T>()(v) + 0x9e3779b9 + (seed << 6) + (seed >> 2);
}

// Recursive template code derived from Matthieu M.
template <class Tuple, size_t Index = std::tuple_size<Tuple>::value - 1>
struct HashValueImpl
{
	static void apply(size_t &seed, Tuple const &tuple)
	{
		HashValueImpl<Tuple, Index - 1>::apply(seed, tuple);
		hash_combine(seed, std::get<Index>(tuple));
	}
};

template <class Tuple>
struct HashValueImpl<Tuple, 0>
{
	static void apply(size_t &seed, Tuple const &tuple)
	{
		hash_combine(seed, std::get<0>(tuple));
	}
};
template <typename... TT>
struct hash<std::tuple<TT...>>
{
	size_t operator()(std::tuple<TT...> const &tt) const
	{
		size_t seed = 0;
		HashValueImpl<std::tuple<TT...>>::apply(seed, tt);
		return seed;
	}
};

template <class T, class U>
class hash<std::pair<T, U>>
{
  public:
	size_t operator()(const std::pair<T, U> &x) const
	{
		return hash<std::tuple<T, U>>()(std::tie(x.first, x.second));
	}
};
} // namespace std

// ref: https://stackoverflow.com/questions/6245735/pretty-print-stdtuple
namespace aux
{
template <std::size_t...>
struct seq
{
};

template <std::size_t N, std::size_t... Is>
struct gen_seq : gen_seq<N - 1, N - 1, Is...>
{
};

template <std::size_t... Is>
struct gen_seq<0, Is...> : seq<Is...>
{
};

template <class Ch, class Tr, class Tuple, std::size_t... Is>
void print_tuple(std::basic_ostream<Ch, Tr> &os, Tuple const &t, seq<Is...>)
{
	using swallow = int[];
	(void)swallow{
		0, (void(os << (Is == 0 ? "" : ", ") << std::get<Is>(t)), 0)...};
}
} // namespace aux

template <class Ch, class Tr, class... Args>
auto operator<<(std::basic_ostream<Ch, Tr> &os, std::tuple<Args...> const &t)
	-> std::basic_ostream<Ch, Tr> &
{
	os << "(";
	aux::print_tuple(os, t, aux::gen_seq<sizeof...(Args)>());
	return os << ")";
}

template <class S, class T>
std::ostream &operator<<(std::ostream &os, const std::pair<S, T> &p)
{
	return os << "(" << p.first << ", " << p.second << ")";
}

// ref: https://stackoverflow.com/questions/8542591/c11-reverse-range-based-for-loo�Fp
template <typename T>
struct reversion_wrapper
{
	T &iterable;
};

template <typename T>
auto begin(reversion_wrapper<T> w) { return std::rbegin(w.iterable); }

template <typename T>
auto end(reversion_wrapper<T> w) { return std::rend(w.iterable); }

template <typename T>
reversion_wrapper<T> REV(T &&iterable) { return {iterable}; }

template <class T>
bool inside(T left, T val, T right)
{
	return left <= val and val < right;
}

template <class T>
T bitCount(T num)
{
	T res = 0;
	while (num > 0)
	{
		if (num & 1)
			++res;
		num >>= 1;
	}
	return res;
}

ll MOD = 1e9 + 7;

void solve();

signed main()
{
	SETUP;
#ifdef _DEBUG
	while (true)
	{
#endif
		solve();
#ifdef _DEBUG
		cout << "-------" << endl;
	}
#endif
#ifdef _DEBUG
	system("pause");
#endif
	return 0;
}

#define int ll

// template

void solve()
{
	int K ,A, B; cin >> K >> A >> B;
	int cnt = 1;
	int rest = K;
	if((B-A)/2.0 <= 1){
		cout << 1+K << endl;
		return;
	}
	int inc = B-A;
	rest -= (A-1);
	cnt = A;
	if(rest < 0){
		cout << 1+K << endl;
		return;
	}

	cnt += inc * (rest/2);
	rest -= (rest/2)*2;
	if(rest > 0){
		cnt += 1;
	}
	cout << cnt << endl;
}


Measured memory_bytes: 256