Problem p00519 (C++) — buggy submission, verdict: Time Limit Exceeded

#include <algorithm>
#include <cstring>
#include <iostream>
#include <queue>
using namespace std;

#define MAX_N 5500
bool x[MAX_N][MAX_N];
int y[MAX_N][2];
bool z[MAX_N];
int m[MAX_N];
int s[MAX_N];
int t[MAX_N][MAX_N];

queue<int> Q;

int main() {
  memset(x, false, sizeof(x));
  for (int i = 0; i < 5500; i++) {
    for (int j = 0; j < 5500; j++) {
      m[i] = 1000000000;
      s[i] = 0;
      t[i][j] = 0;
    }
  }
  int N, K, a, b;
  cin >> N >> K;
  for (int i = 1; i <= N; i++) {
    cin >> y[i][0] >> y[i][1];
  }
  for (int i = 1; i <= K; i++) {
    cin >> a >> b;
    x[a][b] = true;
    x[b][a] = true;
    t[a][s[a]] = b;
    t[b][s[b]] = a;
    s[a] += 1;
    s[b] += 1;
  }

  int p;
  int r;
  int u;

  u = N;
  if (K > 6000) {
    u = 20;
  }

  m[1] = 0;

  for (int i = 0; i < u; i++) {
    for (int j = 1; j <= N; j++) {
      if (m[j] < 100000000) {
        while (!Q.empty()) {
          Q.pop();
        }
        Q.push(j);
        memset(z, false, sizeof(z));
        for (int k = 0; k < y[j][1]; k++) {
          r = Q.size();
          for (int l = 0; l < r; l++) {
            p = Q.front();
            for (int o = 0; o < s[p]; o++) {
              if (x[p][t[p][o]] == true && z[t[p][o]] == false) {
                Q.push(t[p][o]);
                z[t[p][o]] = true;
                m[t[p][o]] = min(m[t[p][o]], m[j] + y[j][0]);
              }
            }
            Q.pop();
          }
          if (Q.empty()) {
            goto Exit;
          }
        }
      Exit:;
      }
    }
  }

  cout << m[N] << endl;

  return 0;
}

Error: TLE

Fixed submission:

#include <algorithm>
#include <cstring>
#include <iostream>
#include <queue>
using namespace std;

#define MAX_N 5500
bool x[MAX_N][MAX_N];
int y[MAX_N][2];
bool z[MAX_N];
int m[MAX_N];
int s[MAX_N];
int t[MAX_N][MAX_N];

queue<int> Q;

int main() {
  memset(x, false, sizeof(x));
  for (int i = 0; i < 5500; i++) {
    for (int j = 0; j < 5500; j++) {
      m[i] = 1000000000;
      s[i] = 0;
      t[i][j] = 0;
    }
  }
  int N, K, a, b;
  cin >> N >> K;
  for (int i = 1; i <= N; i++) {
    cin >> y[i][0] >> y[i][1];
  }
  for (int i = 1; i <= K; i++) {
    cin >> a >> b;
    x[a][b] = true;
    x[b][a] = true;
    t[a][s[a]] = b;
    t[b][s[b]] = a;
    s[a] += 1;
    s[b] += 1;
  }

  int p;
  int r;
  int u;

  u = N;
  if (K > 6000) {
    u = 500;
  }

  m[1] = 0;

  for (int i = 0; i < u; i++) {
    for (int j = 1; j <= N; j++) {
      if (m[j] < 100000000) {
        while (!Q.empty()) {
          Q.pop();
        }
        Q.push(j);
        memset(z, false, sizeof(z));
        for (int k = 0; k < y[j][1]; k++) {
          r = Q.size();
          for (int l = 0; l < r; l++) {
            p = Q.front();
            for (int o = 0; o < s[p]; o++) {
              if (x[p][t[p][o]] == true && z[t[p][o]] == false) {
                Q.push(t[p][o]);
                z[t[p][o]] = true;
                m[t[p][o]] = min(m[t[p][o]], m[j] + y[j][0]);
              }
            }
            Q.pop();
          }
          if (Q.empty()) {
            goto Exit;
          }
        }
      Exit:;
      }
    }
  }

  cout << m[N] << endl;

  return 0;
}