Problem p02277 (C++) — buggy submission, verdict: Time Limit Exceeded

#include "bits/stdc++.h"
#define MAX 100000
#define SENTINEL 2000000000

struct Card {
  char suit;
  int value;
};
struct Card L[MAX / 2 + 2], R[MAX / 2 + 2];

void merge(struct Card A[], int n, int left, int mid, int right) {
  int i, j, k;
  int n1 = mid - left;
  int n2 = right - mid;
  for (i = 0; i < n1; ++i) {
    L[i] = A[left + i];
  }
  for (i = 0; i < n2; ++i) {
    R[i] = A[mid + i];
  }
  L[n1].value = R[n2].value = SENTINEL;
  i = j = 0;
  for (k = left; k < right; ++k) {
    if (L[i].value <= R[j].value) {
      A[k] = L[i++];
    } else {
      A[k] = R[j++];
    }
  }
}
void mergeSort(struct Card A[], int n, int left, int right) {
  int mid;
  if (left + 1 < right) {
    mid = (left + right) / 2;
    mergeSort(A, n, left, mid);
    mergeSort(A, n, mid, right);
    merge(A, n, left, mid, right);
  }
}

int partition(struct Card A[], int n, int p, int r) {
  int i, j;
  struct Card t, x;
  x = A[r];
  i = p - 1;
  for (j = p; j < r; ++j) {
    if (A[j].value <= x.value) {
      i++;
      t = A[i];
      A[i] = A[j];
      A[j] = t;
    }
  }
  t = A[i + 1];
  A[i + 1] = A[r];
  A[r] = t;
  return i + 1;
}
void quickSort(struct Card A[], int n, int p, int r) {
  int q;
  if (p < r) {
    q = partition(A, n, p, r);
    quickSort(A, n, p, q - 1);
    quickSort(A, n, q + 1, r);
  }
}

int main() {
  int n, i, v;
  struct Card A[MAX], B[MAX];
  char S[10];
  int stable = 1;
  scanf("%d", &n);
  for (i = 0; i < n; ++i) {
    scanf("%s %d", S, &v);
    A[i].suit = B[i].suit = S[0];
    A[i].value = B[i].value = v;
  }
  mergeSort(A, n, 0, n);
  quickSort(B, n, 0, n - 1);

  for (i = 0; i < n; ++i) {
    if (A[i].suit != B[i].suit)
      stable = 0;
  }
  if (stable == 1) {
    printf("Stable\\n");
  } else {
    printf("Not stable\\n");
  }
  for (i = 0; i < n; ++i) {
    printf("%c %d\\n", B[i].suit, B[i].value);
  }
  return 0;
}


Error: TLE

Fixed submission:

#include <cstdio>
#include <iostream>
using namespace std;
const int MAX = 100000;
const int SENTNEL = 2000000000;

struct Card {
  char suit;
  int value;
};

Card L[MAX / 2 + 2], R[MAX / 2 + 2];

void merge(Card A[], int n, int left, int mid, int right) {
  int n1 = mid - left;
  int n2 = right - mid;
  for (int i = 0; i < n1; i++) {
    L[i] = A[left + i];
  }
  for (int i = 0; i < n; i++) {
    R[i] = A[mid + i];
  }
  L[n1].value = R[n2].value = SENTNEL;
  int i = 0, j = 0;
  for (int k = left; k < right; k++) {
    if (L[i].value <= R[j].value) {
      A[k] = L[i++];
    } else {
      A[k] = R[j++];
    }
  }
}
void mergeSort(Card A[], int n, int left, int right) {
  int mid;
  if (left + 1 < right) {
    mid = (left + right) / 2;
    mergeSort(A, n, left, mid);
    mergeSort(A, n, mid, right);
    merge(A, n, left, mid, right);
  }
}
int partition(Card A[], int n, int p, int r) {
  Card t, x;
  x = A[r];
  int i = p - 1;
  for (int j = p; j < r; j++) {
    if (A[j].value <= x.value) {
      i++;
      t = A[i];
      A[i] = A[j];
      A[j] = t;
    }
  }
  t = A[i + 1];
  A[i + 1] = A[r];
  A[r] = t;
  return i + 1;
}
void quickSort(Card A[], int n, int p, int r) {
  if (p < r) {
    int q = partition(A, n, p, r);
    quickSort(A, n, p, q - 1);
    quickSort(A, n, q + 1, r);
  }
}
int main() {
  int n;
  scanf("%d", &n);
  Card A[MAX], B[MAX];
  char S[10];
  int v;
  for (int i = 0; i < n; i++) {
    scanf("%s %d", S, &v);
    A[i].suit = B[i].suit = S[0];
    A[i].value = B[i].value = v;
  }
  mergeSort(A, n, 0, n);
  quickSort(B, n, 0, n - 1);
  bool stable = true;
  for (int i = 0; i < n; i++) {
    if (A[i].suit != B[i].suit) {
      stable = false;
    }
  }
  if (stable) {
    printf("Stable\\n");
  } else {
    printf("Not stable\\n");
  }
  for (int i = 0; i < n; i++) {
    printf("%c %d\\n", B[i].suit, B[i].value);
  }
  return 0;
}