Problem p03645 (C++)

Buggy submission (status: Runtime Error):
#include <bits/stdc++.h>
using namespace std;

// #define int long long
typedef long long ll;

typedef unsigned long long ul;
typedef unsigned int ui;
const ll mod = 1000000007;
const ll INF = mod * mod;
const int INF_N = 1e+9;
typedef pair<int, int> P;
#define stop                                                                   \
  char nyaa;                                                                   \
  cin >> nyaa;
#define rep(i, n) for (int i = 0; i < n; i++)
#define per(i, n) for (int i = n - 1; i >= 0; i--)
#define Rep(i, sta, n) for (int i = sta; i < n; i++)
#define rep1(i, n) for (int i = 1; i <= n; i++)
#define per1(i, n) for (int i = n; i >= 1; i--)
#define Rep1(i, sta, n) for (int i = sta; i <= n; i++)
#define all(v) (v).begin(), (v).end()
typedef pair<ll, ll> LP;
typedef long double ld;
typedef pair<ld, ld> LDP;
const ld eps = 1e-12;
const ld pi = acos(-1.0);
// typedef vector<vector<ll>> mat;
typedef vector<int> vec;

// 繰り返し二乗法
ll mod_pow(ll a, ll n, ll m) {
  ll res = 1;
  while (n) {
    if (n & 1)
      res = res * a % m;
    a = a * a % m;
    n >>= 1;
  }
  return res;
}

struct modint {
  ll n;
  modint() : n(0) { ; }
  modint(ll m) : n(m) {
    if (n >= mod)
      n %= mod;
    else if (n < 0)
      n = (n % mod + mod) % mod;
  }
  operator int() { return n; }
};
bool operator==(modint a, modint b) { return a.n == b.n; }
modint operator+=(modint &a, modint b) {
  a.n += b.n;
  if (a.n >= mod)
    a.n -= mod;
  return a;
}
modint operator-=(modint &a, modint b) {
  a.n -= b.n;
  if (a.n < 0)
    a.n += mod;
  return a;
}
modint operator*=(modint &a, modint b) {
  a.n = ((ll)a.n * b.n) % mod;
  return a;
}
modint operator+(modint a, modint b) { return a += b; }
modint operator-(modint a, modint b) { return a -= b; }
modint operator*(modint a, modint b) { return a *= b; }
modint operator^(modint a, int n) {
  if (n == 0)
    return modint(1);
  modint res = (a * a) ^ (n / 2);
  if (n % 2)
    res = res * a;
  return res;
}

// 逆元(Eucledean algorithm)
ll inv(ll a, ll p) { return (a == 1 ? 1 : (1 - p * inv(p % a, a)) / a + p); }
modint operator/(modint a, modint b) { return a * modint(inv(b, mod)); }

const int max_n = 1 << 18;
modint fact[max_n], factinv[max_n];
void init_f() {
  fact[0] = modint(1);
  for (int i = 0; i < max_n - 1; i++) {
    fact[i + 1] = fact[i] * modint(i + 1);
  }
  factinv[max_n - 1] = modint(1) / fact[max_n - 1];
  for (int i = max_n - 2; i >= 0; i--) {
    factinv[i] = factinv[i + 1] * modint(i + 1);
  }
}
modint comb(int a, int b) {
  if (a < 0 || b < 0 || a < b)
    return 0;
  return fact[a] * factinv[b] * factinv[a - b];
}
using mP = pair<modint, modint>;

int dx[4] = {0, 1, 0, -1};
int dy[4] = {1, 0, -1, 0};

const int MAX_V = 100005;

struct edge {
  int to;
  ll cost;
};

// <最短距離, 頂点の番号>
// using P = pair<int, int>;

int V;
vector<edge> G[MAX_V];
ll d[MAX_V];
int pre[MAX_V];

void dijkstra(int s) {
  priority_queue<P, vector<P>, greater<P>> que;
  fill(d, d + V, INF);
  fill(pre, pre + V, -1);
  d[s] = 0;
  que.push(P(0, s));

  while (!que.empty()) {
    P p = que.top();
    que.pop();
    int v = p.second;
    if (d[v] < p.first)
      continue;

    for (int i = 0; i < G[v].size(); ++i) {
      edge e = G[v][i];
      if (d[e.to] > d[v] + e.cost) {
        d[e.to] = d[v] + e.cost;
        pre[e.to] = v;
        que.push(P(d[e.to], e.to));
      }
    }
  }
}

void solve() {
  int M;
  cin >> V >> M;
  rep(i, M) {
    int a, b;
    cin >> a >> b;
    a--;
    b--;
    edge e = {b, 1};
    G[a].push_back(e);
    e = {a, 1};
    G[b].push_back(e);
  }

  dijkstra(0);

  if (d[V - 1] != 2)
    cout << "IMPOSSIBLE" << endl;
  else
    cout << "POSSIBLE" << endl;
}

signed main() {
  ios::sync_with_stdio(false);
  cin.tie(0);
  // cout << fixed << setprecision(10);
  // init_f();
  // init();
  // int t; cin >> t; rep(i, t)solve();
  solve();
  //   stop
  return 0;
}


Fixed submission:
#include <bits/stdc++.h>
using namespace std;

// #define int long long
typedef long long ll;

typedef unsigned long long ul;
typedef unsigned int ui;
const ll mod = 1000000007;
const ll INF = mod * mod;
const int INF_N = 1e+9;
typedef pair<int, int> P;
#define stop                                                                   \
  char nyaa;                                                                   \
  cin >> nyaa;
#define rep(i, n) for (int i = 0; i < n; i++)
#define per(i, n) for (int i = n - 1; i >= 0; i--)
#define Rep(i, sta, n) for (int i = sta; i < n; i++)
#define rep1(i, n) for (int i = 1; i <= n; i++)
#define per1(i, n) for (int i = n; i >= 1; i--)
#define Rep1(i, sta, n) for (int i = sta; i <= n; i++)
#define all(v) (v).begin(), (v).end()
typedef pair<ll, ll> LP;
typedef long double ld;
typedef pair<ld, ld> LDP;
const ld eps = 1e-12;
const ld pi = acos(-1.0);
// typedef vector<vector<ll>> mat;
typedef vector<int> vec;

// 繰り返し二乗法
ll mod_pow(ll a, ll n, ll m) {
  ll res = 1;
  while (n) {
    if (n & 1)
      res = res * a % m;
    a = a * a % m;
    n >>= 1;
  }
  return res;
}

struct modint {
  ll n;
  modint() : n(0) { ; }
  modint(ll m) : n(m) {
    if (n >= mod)
      n %= mod;
    else if (n < 0)
      n = (n % mod + mod) % mod;
  }
  operator int() { return n; }
};
bool operator==(modint a, modint b) { return a.n == b.n; }
modint operator+=(modint &a, modint b) {
  a.n += b.n;
  if (a.n >= mod)
    a.n -= mod;
  return a;
}
modint operator-=(modint &a, modint b) {
  a.n -= b.n;
  if (a.n < 0)
    a.n += mod;
  return a;
}
modint operator*=(modint &a, modint b) {
  a.n = ((ll)a.n * b.n) % mod;
  return a;
}
modint operator+(modint a, modint b) { return a += b; }
modint operator-(modint a, modint b) { return a -= b; }
modint operator*(modint a, modint b) { return a *= b; }
modint operator^(modint a, int n) {
  if (n == 0)
    return modint(1);
  modint res = (a * a) ^ (n / 2);
  if (n % 2)
    res = res * a;
  return res;
}

// 逆元(Eucledean algorithm)
ll inv(ll a, ll p) { return (a == 1 ? 1 : (1 - p * inv(p % a, a)) / a + p); }
modint operator/(modint a, modint b) { return a * modint(inv(b, mod)); }

const int max_n = 1 << 18;
modint fact[max_n], factinv[max_n];
void init_f() {
  fact[0] = modint(1);
  for (int i = 0; i < max_n - 1; i++) {
    fact[i + 1] = fact[i] * modint(i + 1);
  }
  factinv[max_n - 1] = modint(1) / fact[max_n - 1];
  for (int i = max_n - 2; i >= 0; i--) {
    factinv[i] = factinv[i + 1] * modint(i + 1);
  }
}
modint comb(int a, int b) {
  if (a < 0 || b < 0 || a < b)
    return 0;
  return fact[a] * factinv[b] * factinv[a - b];
}
using mP = pair<modint, modint>;

int dx[4] = {0, 1, 0, -1};
int dy[4] = {1, 0, -1, 0};

const int MAX_V = 200005;

struct edge {
  int to;
  ll cost;
};

// <最短距離, 頂点の番号>
// using P = pair<int, int>;

int V;
vector<edge> G[MAX_V];
ll d[MAX_V];
int pre[MAX_V];

void dijkstra(int s) {
  priority_queue<P, vector<P>, greater<P>> que;
  fill(d, d + V, INF);
  fill(pre, pre + V, -1);
  d[s] = 0;
  que.push(P(0, s));

  while (!que.empty()) {
    P p = que.top();
    que.pop();
    int v = p.second;
    if (d[v] < p.first)
      continue;

    for (int i = 0; i < G[v].size(); ++i) {
      edge e = G[v][i];
      if (d[e.to] > d[v] + e.cost) {
        d[e.to] = d[v] + e.cost;
        pre[e.to] = v;
        que.push(P(d[e.to], e.to));
      }
    }
  }
}

void solve() {
  int M;
  cin >> V >> M;
  rep(i, M) {
    int a, b;
    cin >> a >> b;
    a--;
    b--;
    edge e = {b, 1};
    G[a].push_back(e);
    e = {a, 1};
    G[b].push_back(e);
  }

  dijkstra(0);

  if (d[V - 1] != 2)
    cout << "IMPOSSIBLE" << endl;
  else
    cout << "POSSIBLE" << endl;
}

signed main() {
  ios::sync_with_stdio(false);
  cin.tie(0);
  // cout << fixed << setprecision(10);
  // init_f();
  // init();
  // int t; cin >> t; rep(i, t)solve();
  solve();
  //   stop
  return 0;
}