Problem p02823 (C++)

Buggy submission (status: Time Limit Exceeded):
// include
//------------------------------------------
#include <algorithm>
#include <bits/stdc++.h>
#include <bitset>
#include <cctype>
#include <cmath>
#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <ctime>
#include <deque>
#include <functional>
#include <iomanip>
#include <iostream>
#include <list>
#include <map>
#include <numeric>
#include <queue>
#include <set>
#include <sstream>
#include <stack>
#include <string>
#include <utility>
#include <vector>
using namespace std;

// conversion
//------------------------------------------
inline int toInt(string s) {
  int v;
  istringstream sin(s);
  sin >> v;
  return v;
}
template <class T> inline string toString(T x) {
  ostringstream sout;
  sout << x;
  return sout.str();
}

// math
//-------------------------------------------
template <class T> inline T sqr(T x) { return x * x; }
template <class T> bool chmin(T &a, const T &b) {
  if (b < a) {
    a = b;
    return 1;
  }
  return 0;
}
// typedef
//------------------------------------------
typedef vector<int> VI;
typedef vector<VI> VVI;
typedef vector<string> VS;
typedef pair<int, int> PII;
typedef long long LL;

// container util
//------------------------------------------
#define ALL(a) (a).begin(), (a).end()
#define RALL(a) (a).rbegin(), (a).rend()
#define PB push_back
#define MP make_pair
#define SZ(a) int((a).size())
#define EACH(i, c)                                                             \
  for (typeof((c).begin()) i = (c).begin(); i != (c).end(); ++i)
#define EXIST(s, e) ((s).find(e) != (s).end())
#define SORT(c) sort((c).begin(), (c).end())

// repetition
//------------------------------------------
#define FOR(i, a, b) for (int i = (a); i < (b); ++i)
#define REP(i, n) FOR(i, 0, n)
#define fore(i, a) for (auto &i : a)

// constant
//--------------------------------------------
const double EPS = 1e-10;
const double PI = acos(-1.0);

// clear memory
#define CLR(a) memset((a), 0, sizeof(a))

// debug
#define dump(x) cerr << #x << " = " << (x) << endl;
#define debug(x)                                                               \
  cerr << #x << " = " << (x) << " (L" << __LINE__ << ")"                       \
       << " " << __FILE__ << endl;

LL gcd(LL a, LL b) {
  if (b == 0)
    return a;
  return gcd(b, a % b);
}

LL lcm(LL a, LL b) {
  LL g = gcd(a, b);
  return a / g * b;
}

int main() {
  long long N, A, B;
  cin >> N >> A >> B;
  long long kyori = B - A;
  long long ans = 0;
  if (kyori % 2 == 0) {
    ans = kyori / 2;
  } else {
    if (A - 1 <= N - B) {
      while ((B - A) % 2 != 0) {
        if (A != 1) {
          A--;
          B--;
          ++ans;
        } else {
          A = 1;
          B--;
          ++ans;
        }
      }
      ans += (B - A) / 2;
    } else {
      while ((B - A) % 2 != 0) {
        if (B != N) {
          A++;
          B++;
          ++ans;
        } else {
          B = N;
          A++;
          ++ans;
        }
      }
      ans += (B - A) / 2;
    }
  }
  cout << ans;
}

Fixed submission:
// include
//------------------------------------------
#include <algorithm>
#include <bits/stdc++.h>
#include <bitset>
#include <cctype>
#include <cmath>
#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <ctime>
#include <deque>
#include <functional>
#include <iomanip>
#include <iostream>
#include <list>
#include <map>
#include <numeric>
#include <queue>
#include <set>
#include <sstream>
#include <stack>
#include <string>
#include <utility>
#include <vector>
using namespace std;

// conversion
//------------------------------------------
inline int toInt(string s) {
  int v;
  istringstream sin(s);
  sin >> v;
  return v;
}
template <class T> inline string toString(T x) {
  ostringstream sout;
  sout << x;
  return sout.str();
}

// math
//-------------------------------------------
template <class T> inline T sqr(T x) { return x * x; }
template <class T> bool chmin(T &a, const T &b) {
  if (b < a) {
    a = b;
    return 1;
  }
  return 0;
}
// typedef
//------------------------------------------
typedef vector<int> VI;
typedef vector<VI> VVI;
typedef vector<string> VS;
typedef pair<int, int> PII;
typedef long long LL;

// container util
//------------------------------------------
#define ALL(a) (a).begin(), (a).end()
#define RALL(a) (a).rbegin(), (a).rend()
#define PB push_back
#define MP make_pair
#define SZ(a) int((a).size())
#define EACH(i, c)                                                             \
  for (typeof((c).begin()) i = (c).begin(); i != (c).end(); ++i)
#define EXIST(s, e) ((s).find(e) != (s).end())
#define SORT(c) sort((c).begin(), (c).end())

// repetition
//------------------------------------------
#define FOR(i, a, b) for (int i = (a); i < (b); ++i)
#define REP(i, n) FOR(i, 0, n)
#define fore(i, a) for (auto &i : a)

// constant
//--------------------------------------------
const double EPS = 1e-10;
const double PI = acos(-1.0);

// clear memory
#define CLR(a) memset((a), 0, sizeof(a))

// debug
#define dump(x) cerr << #x << " = " << (x) << endl;
#define debug(x)                                                               \
  cerr << #x << " = " << (x) << " (L" << __LINE__ << ")"                       \
       << " " << __FILE__ << endl;

LL gcd(LL a, LL b) {
  if (b == 0)
    return a;
  return gcd(b, a % b);
}

LL lcm(LL a, LL b) {
  LL g = gcd(a, b);
  return a / g * b;
}

int main() {
  long long N, A, B;
  cin >> N >> A >> B;
  long long kyori = B - A;
  long long ans = 0;
  if (kyori % 2 == 0) {
    ans = kyori / 2;
  } else {
    ans = min(A - 1, N - B) + 1 + (B - A - 1) / 2;
  }
  cout << ans;
}