Problem p02678 (C++)

Buggy submission (status: Runtime Error):
#include "bits/stdc++.h"

using namespace std;

typedef vector<int> VI;
typedef vector<VI> VVI;
typedef vector<string> VS;
typedef pair<int, int> PII;
typedef vector<PII> VPII;
typedef long long LL;
typedef vector<LL> VL;
typedef vector<VL> VVL;
typedef pair<LL, LL> PLL;
typedef vector<PLL> VPLL;
typedef priority_queue<int> PQ_DESC;
typedef priority_queue<int, vector<int>, greater<int>> PQ_ASC;
typedef priority_queue<PII> PQ_DESC_PII;
typedef priority_queue<PII, vector<PII>, greater<PII>> PQ_ASC_PII;

#define ALL(c) (c).begin(), (c).end()
#define PB push_back
#define MP make_pair
#define SORT_ASC(c) sort(ALL(c))
// #define SORT_DESC(c) sort(ALL(c), greater<typeof(*((c).begin()))>())
#define SORT_DESC(c) sort((c).rbegin(), (c).rend())
#define REV(c) reverse((c).begin(), (c).end())
#define SIZE(a) int((a).size())

#define FOR(i, a, b) for (int i = (a); i < (b); ++i)
#define ROF(i, a, b) for (int i = (b - 1); i >= (a); --i)
#define REP(i, n) FOR(i, 0, n)
#define PER(i, n) ROF(i, 0, n)

const double EPS = 1e-10;
const double PI = acos(-1.0);
const int LARGE_INT = 1e9 + 100;
const int INF = 2e9 + 100;
const LL INF_LL = (LL)INF * (LL)INF;
const int MOD = 1e9 + 7;

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

LL modpow(LL a, LL n) {
  LL res = 1;
  while (n > 0) {
    if (n & 1)
      res = res * a % MOD;
    a = a * a % MOD;
    n >>= 1;
  }
  return res;
}

void Main() {
  int n, m;
  cin >> n >> m;

  VVI e(m);
  REP(i, m) {
    int a, b;
    cin >> a >> b;
    a--;
    b--;
    e[a].PB(b);
    e[b].PB(a);
  }

  VI result(n, -1);
  queue<int> q;
  q.push(0);
  result[0] = 0;

  while (!q.empty()) {
    int now = q.front();
    q.pop();

    for (auto next : e[now]) {
      if (result[next] != -1) {
        continue;
      }
      result[next] = now;
      q.push(next);
    }
  }

  REP(i, n) {
    if (result[i] == -1) {
      cout << "No" << endl;
      return;
    }
  }

  cout << "Yes" << endl;
  FOR(i, 1, n) { cout << result[i] + 1 << endl; }

  return;
}

int main() {
  cin.tie(nullptr);
  ios_base::sync_with_stdio(false);
  cout << fixed << setprecision(15);
  Main();
  return 0;
}

Fixed submission:
#include "bits/stdc++.h"

using namespace std;

typedef vector<int> VI;
typedef vector<VI> VVI;
typedef vector<string> VS;
typedef pair<int, int> PII;
typedef vector<PII> VPII;
typedef long long LL;
typedef vector<LL> VL;
typedef vector<VL> VVL;
typedef pair<LL, LL> PLL;
typedef vector<PLL> VPLL;
typedef priority_queue<int> PQ_DESC;
typedef priority_queue<int, vector<int>, greater<int>> PQ_ASC;
typedef priority_queue<PII> PQ_DESC_PII;
typedef priority_queue<PII, vector<PII>, greater<PII>> PQ_ASC_PII;

#define ALL(c) (c).begin(), (c).end()
#define PB push_back
#define MP make_pair
#define SORT_ASC(c) sort(ALL(c))
// #define SORT_DESC(c) sort(ALL(c), greater<typeof(*((c).begin()))>())
#define SORT_DESC(c) sort((c).rbegin(), (c).rend())
#define REV(c) reverse((c).begin(), (c).end())
#define SIZE(a) int((a).size())

#define FOR(i, a, b) for (int i = (a); i < (b); ++i)
#define ROF(i, a, b) for (int i = (b - 1); i >= (a); --i)
#define REP(i, n) FOR(i, 0, n)
#define PER(i, n) ROF(i, 0, n)

const double EPS = 1e-10;
const double PI = acos(-1.0);
const int LARGE_INT = 1e9 + 100;
const int INF = 2e9 + 100;
const LL INF_LL = (LL)INF * (LL)INF;
const int MOD = 1e9 + 7;

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

LL modpow(LL a, LL n) {
  LL res = 1;
  while (n > 0) {
    if (n & 1)
      res = res * a % MOD;
    a = a * a % MOD;
    n >>= 1;
  }
  return res;
}

void Main() {
  int n, m;
  cin >> n >> m;

  VVI e(n);
  REP(i, m) {
    int a, b;
    cin >> a >> b;
    a--;
    b--;
    e[a].PB(b);
    e[b].PB(a);
  }

  VI result(n, -1);
  queue<int> q;
  q.push(0);
  result[0] = 0;

  while (!q.empty()) {
    int now = q.front();
    q.pop();

    for (auto next : e[now]) {
      if (result[next] != -1) {
        continue;
      }
      result[next] = now;
      q.push(next);
    }
  }

  REP(i, n) {
    if (result[i] == -1) {
      cout << "No" << endl;
      return;
    }
  }

  cout << "Yes" << endl;
  FOR(i, 1, n) { cout << result[i] + 1 << endl; }

  return;
}

int main() {
  cin.tie(nullptr);
  ios_base::sync_with_stdio(false);
  cout << fixed << setprecision(15);
  Main();
  return 0;
}