Problem:
Score : 300 points

Problem Statement

A game is played on a strip consisting of N cells consecutively numbered from 1 to N.

Alice has her token on cell A. Borys has his token on a different cell B.

Players take turns, Alice moves first.
The moving player must shift his or her token from its current cell X to the neighboring cell on the left, cell X-1, or on the right, cell X+1.
Note that it's disallowed to move the token outside the strip or to the cell with the other player's token.
In one turn, the token of the moving player must be shifted exactly once.

The player who can't make a move loses, and the other player wins.

Both players want to win. Who wins if they play optimally?

Constraints

2 \leq N \leq 100

1 \leq A < B \leq N

All input values are integers.

Input

Input is given from Standard Input in the following format:

N A B

Output

Print Alice if Alice wins, Borys if Borys wins, and Draw if nobody wins.

Sample Input 1

5 2 4

Sample Output 1

Alice

Alice can move her token to cell 3.
After that, Borys will be unable to move his token to cell 3, so he will have to move his token to cell 5.
Then, Alice moves her token to cell 4. Borys can't make a move and loses.

Sample Input 2

2 1 2

Sample Output 2

Borys

Alice can't make the very first move and loses.

Sample Input 3

58 23 42

Sample Output 3

Borys

Solution in C++ (GCC 9.2.1) (judge verdict: Accepted)

#include <bits/stdc++.h>

using namespace std;

typedef long long               ll;
typedef long double             ld;

#define min3(a, b, c)           min((a), min((b), (c)))
#define max3(a, b, c)           max((a), max((b), (c)))
#define lcm(a,b)                (a / __gcd(a,b) ) *b
#define gcd(a,b)                __gcd(a,b)
#define dist(x1,y1,x2,y2)       sqrt((x2-x1)*(x2-x1) + (y2-y1)*(y2-y1))
#define distl(x1,y1,x2,y2)      sqrtl((x2-x1)*(x2-x1) + (y2-y1)*(y2-y1))
#define sqr(a)                  ((a)*(a))
#define urs(r...)               typename decay<decltype(r)>::type
#define FOR(i,a,b)              for(urs(b) i=a;i<b;i++)
#define ROF(i,a,b)              for(urs(b) i=a;i>=b;i--)
#define REP(a,b)                for(urs(b) i=a;i<b;i++)
#define pb                      push_back
#define mk                      make_pair
#define ff                      first
#define ss                      second
#define lb                      lower_bound
#define ub                      upper_bound
#define all(a)                  a.begin(),a.end()
#define vi                      vector <int> 
#define pi                      pair <int, int> 
#define SORT(v)                 sort(v.begin(), v.end());
#define FASTIO                  ios_base::sync_with_stdio(0);cin.tie(NULL);
#define PI                      acos(-1.0)
#define nl                      "\n"
#define watch(x)                cerr << "\n" << (#x) << " is " << (x) << endl;

#define pii pair<int, int>
#define pll pair<long long, long long>
#define pld pair<long double, long double>

const int MOD = 1e9 + 7;

ll fast_pow (ll n, ll p)
{
    ll res=1;
    while (p>0)
    {
        if (p&1)
            res = res * n;
        p = p>>1;
        n = n * n;
    }
    return res;
}

ll BMod(ll B,ll P,ll M)
{
    ll R=1;
    B=B%M;
    while(P)
    {
        if(P&1)
            R=(R*B)%M;
        P >>= 1;
        B=(B*B)%M;
    }
    return R;
}

ll invMOD(ll num,ll M)
{
    return BMod(num,M-2,M);
}

//use this, if overflow happens
uint64_t mulmod(uint64_t a, uint64_t b, uint64_t m)
{
    if (a > b)
        swap (a, b);

    uint64_t res = 0;
    uint64_t temp_b;

    if (b >= m)
    {
        if (m > UINT64_MAX / 2u)
            b -= m;
        else
            b %= m;
    }

    while (a != 0)
    {
        if (a & 1)
        {    
            if (b >= m - res)
                res -= m;
            res += b;
        }
        a >>= 1;

        temp_b = b;
        if (b >= m - b)
            temp_b -= m;
        b += temp_b;
    }
    return res;
}

#ifdef Sieve
const int pSz = 50005;
bool np[pSz + 10]; vi prime; int prime_size;
void sieve(){np[0] = np[1] = 1;prime.pb(2);
for(ll i = 4; i <= pSz; i+=2) np[i] = 1;
for(ll i = 3; i <= pSz; i+=2){if(!np[i]){prime.pb(i);
for(ll j = i * i; j <= pSz; j += (i << 1)) np[j] = 1;}}prime_size = prime.size();}
#endif

#ifdef Combi
const int nSz = 2000006;
ll F[nSz + 1], tMod = MOD;
void Factorial(){ F[0] = 1; for(int i = 1; i <= nSz; i++) F[i] = (F[i - 1] * i) % tMod; }
inline ll nCr(int n, int r) { if(n < r) return 0; return (F[n] * invMOD((F[n - r] * F[r]) % tMod, tMod)) % tMod; }
 
#endif
 
#ifdef Z_Algo
void zAlgo(char *s, int *z){
    int L, R, sz; sz = strlen(s); z[0] = L = R = 0;
    FOR(i, 1, sz) { z[i] = 0; if(i <= R) z[i] = min(z[i - L], R - i + 1); 
    while(i + z[i] < sz && s[i + z[i]] == s[z[i]]) z[i]++; if(i + z[i] - 1 > R) L = i, R = i + z[i] - 1; }
}void zAlgo(string &s, int *z){
    int L, R, sz; sz = s.size(); z[0] = L = R = 0;
    FOR(i, 1, sz) { z[i] = 0; if(i <= R) z[i] = min(z[i - L], R - i + 1); 
    while(i + z[i] < sz && s[i + z[i]] == s[z[i]]) z[i]++; if(i + z[i] - 1 > R) L = i, R = i + z[i] - 1; }
}void zAlgo(int *s, int *z, int n){
    int L, R, sz; sz = n; z[0] = L = R = 0;
    FOR(i, 1, sz) { z[i] = 0; if(i <= R) z[i] = min(z[i - L], R - i + 1); 
    while(i + z[i] < sz && s[i + z[i]] == s[z[i]]) z[i]++; if(i + z[i] - 1 > R) L = i, R = i + z[i] - 1; }
}
#endif

//-------------------------DEBUGGING-STUFF------------------------------//
#ifdef __beyond_TLE__
void __print(int x) {cerr << x;}
void __print(long x) {cerr << x;}
void __print(long long x) {cerr << x;}
void __print(unsigned x) {cerr << x;}
void __print(unsigned long x) {cerr << x;}
void __print(unsigned long long x) {cerr << x;}
void __print(float x) {cerr << x;}
void __print(double x) {cerr << x;}
void __print(long double x) {cerr << x;}
void __print(char x) {cerr << '\'' << x << '\'';}
void __print(const char *x) {cerr << '\"' << x << '\"';}
void __print(const string &x) {cerr << '\"' << x << '\"';}
void __print(bool x) {cerr << (x ? "true" : "false");}

template<typename T, typename V>
void __print(const pair<T, V> &x) {cerr << '{'; __print(x.first); cerr << ','; __print(x.second); cerr << '}';}
template<typename T>
void __print(const T &x) {int f = 0; cerr << '{'; for (auto &i: x) cerr << (f++ ? "," : ""), __print(i); cerr << "}";}
void _print() {cerr << "]\n";}
template <typename T, typename... V>
void _print(T t, V... v) {__print(t); if (sizeof...(v)) cerr << ", "; _print(v...);}
#define debug(x...) cerr << "[" << #x << "] = ["; _print(x)
#else
#define debug(x...)
#endif
//---------------------------END---------------------------------//

void __INIT__()
{
    #ifdef __beyond_TLE__
        freopen("input.txt", "r", stdin);
        freopen("output.txt", "w", stdout);
        #define cerr if(true)cerr
        freopen("Eroor.txt", "w", stderr);
    #endif

    #ifndef __beyond_TLE__
        #define cerr if(false)cerr
    #endif
}

int main()
{
    FASTIO
    __INIT__();

    int a, b, c;
    cin >> a >> b >> c;

    if (((abs(c-b))&1) == 0)
        cout << "Alice" <<endl;
    else
        cout << "Borys" <<endl;

    return 0;
}