#include <stdio.h>
#include <stdlib.h>

#include <iostream>
#include <iomanip>
#include <sstream>
#include <stdint.h>
#include <string.h>

#include <unordered_set>

#define _USE_MATH_DEFINES
#include <math.h>


#include <vector>
#include <list>

#include <set>
#include <map>

#include <unordered_map>

#include <queue>

#include <string>

#include <vector>

#define sqr(x) (x) * (x)

#include <algorithm>
#include <functional>

#include <bitset>

#include <functional>

#include <chrono>

typedef unsigned int u32;
typedef int i32;

typedef unsigned long long int u64;
typedef long long int i64;

typedef uint16_t u16;
typedef int16_t i16;

typedef uint8_t u8;
typedef int8_t i8;


using namespace std;
using namespace std::chrono;

struct less_key
{
    bool operator() (pair<i64, i64> p1, pair<i64, i64> p2)
    {
        return p1.first > p2.first || (p1.first == p2.first && p1.second < p2.second);
    }
};

struct less_key2
{
    bool operator() (pair<i64, i64> p1, pair<i64, i64> p2)
    {
        return p1.second > p2.second || (p1.second == p2.second && p1.first > p2.first);
    }
};

//
//struct pair_hash
//{
//    std::size_t operator()(const i64& k) const
//    {
//        return static_cast<size_t>(k.first ^ k.second);
//    }
//};

#include <random>

const i64 mod = 1000000007ll;
const i64 mod2 = 998244353ll;
const i64 inf = 10000000000000007ll;

const double eps = 1e-10;

template <typename T = i64, T D = 0>
class MaxOp {
public:
    static T op(const T& a, const T&b) {
        return max(a, b);
    }

    static T def() {
        return (T)D;
    }
};

template <typename T = i64, T D = inf>
class MinOp {
public:
    static T op(const T& a, const T&b) {
        return min(a, b);
    }

    static T def() {
        return (T)D;
    }
};

template <typename T = i64, T D = 0>
class SumOp {
public:
    static T op(const T& a, const T&b) {
        return a + b;
    }

    static T def() {
        return (T)D;
    }
};

template <typename D, typename T = i64>
class SegTree {
public:
    i64 n;
    vector<T> t;

private:
    void build(const i64* a, int v, int tl, int tr) {
        if (tl == tr)
            t[v] = a[tl];
        else {
            int tm = (tl + tr) / 2;
            build(a, v * 2, tl, tm);
            build(a, v * 2 + 1, tm + 1, tr);
            t[v] = D().op(t[v * 2], t[v * 2 + 1]);
        }
    }

    i64 get(int v, int tl, int tr, int l, int r) {
        if (l > r) {
            return D().def();
        }
        if (l == tl && r == tr) {
            return t[v];
        }
        int tm = (tl + tr) / 2;
        return D().op(get(v * 2, tl, tm, l, min(r, tm)),
            get(v * 2 + 1, tm + 1, tr, max(l, tm + 1), r));
    }

    void update(int v, int tl, int tr, int pos, int new_val) {
        if (tl == tr) {
            t[v] = new_val;
        }
        else {
            int tm = (tl + tr) / 2;
            if (pos <= tm) {
                update(v * 2, tl, tm, pos, new_val);
            }
            else {
                update(v * 2 + 1, tm + 1, tr, pos, new_val);
            }
            t[v] = D().op(t[v * 2] + t[v * 2 + 1]);
        }
    }

public:
    void build(const vector<i64 >& a) {
        n = a.size();
        t.resize(n * 4);
        build(a.data(), 1, 0, n - 1);
    }

    void build(i64* a, i64 n) {
        this->n = n;
        t.resize(n * 4);
        build(a, 1, 0, n - 1);
    }

    i64 get(i64 l, i64 r) {
        return get(1, 0, n - 1, l, r);
    }

    void update(i64 pos, i64 new_val) {
        update(1, 0, n - 1, pos, new_val);
    }
};


// del

i64 k, a, b;

int main() {
    ios::sync_with_stdio(0); cin.tie(0); cout.tie(0); cout.precision(15); cout.setf(ios::fixed);

    cin >> k >> a >> b;
    if (b <= a + 1) {
        cout << k + 1;
        return 0;
    }

    if (k <= a - 1) {
        cout << k + 1;
        return 0;
    }

    k -= a - 1;
    i64 c = a;

    c += k / 2 * (b - a);
    c += k % 2;

    cout << c;

    return 0;
}

Measured memory_bytes: 256