Problem:
Quick Sort

Let's arrange a deck of cards. Your task is to sort totally n cards. A card consists of a part of a suit (S, H, C or D) and an number. Write a program which sorts such cards based on the following pseudocode:

Partition(A, p, r)
1 x = A[r]
2 i = p-1
3 for j = p to r-1
4 do if A[j] <= x
5 then i = i+1
6 exchange A[i] and A[j]
7 exchange A[i+1] and A[r]
8 return i+1

Quicksort(A, p, r)
1 if p < r
2 then q = Partition(A, p, r)
3 run Quicksort(A, p, q-1)
4 run Quicksort(A, q+1, r)

Here, A is an array which represents a deck of cards and comparison operations are performed based on the numbers.

Your program should also report the stability of the output for the given input (instance). Here, 'stability of the output' means that: cards with the same value appear in the output in the same order as they do in the input (instance).

Input

The first line contains an integer n, the number of cards.

n cards are given in the following lines. Each card is given in a line and represented by a pair of a character and an integer separated by a single space.

Output

In the first line, print the stability ("Stable" or "Not stable") of this output.

In the following lines, print the arranged cards in the same manner of that of the input.

Constraints

1 ≤ n ≤ 100,000

1 ≤ the number of a card ≤ 109

There are no identical card in the input

Sample Input 1

6
D 3
H 2
D 1
S 3
D 2
C 1

Sample Output 1

Not stable
D 1
C 1
D 2
H 2
D 3
S 3

Sample Input 2

2
S 1
H 1

Sample Output 2

Stable
S 1
H 1

Solution in C (judge verdict: Accepted)

#include <stdio.h>
#define MAX1 100000
#define MAX 500000
#define INFTY 1000000001

typedef struct pp{
    char mark;
    int num;
}list;

void quicksort(list *,int,int);
int partition(list *,int,int);
void merge(list *,int ,int ,int );
void mergeSort(list *,int ,int );
void swap(list *,int,int);

int main()
{
    int a,flag=0;
    int i;
    list A[MAX1],B[MAX1];

    scanf("%d",&a);
    for(i=0;i<a;i++)
    {
        scanf("%s%d",&A[i].mark,&A[i].num);
        B[i]=A[i];
    }

    quicksort(A,0,a-1);
    mergeSort(B,0,a);

    for(i=0;i<a;i++)
    {
      if(A[i].mark==B[i].mark){ }
      else { flag=1; break; } 
    }

    if(flag==1) printf("Not stable\n");
    else printf("Stable\n");

    for(i=0;i<a;i++)
    {
    printf("%s %d\n",&A[i].mark,A[i].num);
    }

    return 0;
}

void quicksort(list *A,int p,int r)
{
    int q;
    if(p<r)
    {
        q=partition(A,p,r);
        quicksort(A,p,q-1);
        quicksort(A,q+1,r);
    }
}

int partition(list *A,int p,int r)
{
    list x,temp;
    int i,j;

    x=A[r];
    i=p-1; //i=-1
    for(j=p;j<=r-1;j++) //j=0
    {
        if(A[j].num<=x.num)
        {
            i=i+1;
            swap(A,i,j); //A[i]とA[j]を交換
        }
    }
    swap(A,i+1,r); //A[i+1]とA[r]を交換
    return i+1; //pivotの添え字を返す
}

void swap(list *A,int i,int j)
{
    list temp;
    temp=A[i];
    A[i]=A[j];
    A[j]=temp;
    return;
}

void mergeSort(list *array,int left,int right)
{
    int mid;

    if(left+1<right)
    {
        mid = (left+right)/2;
        mergeSort(array,left,mid);
        mergeSort(array,mid,right);
        merge(array,left,mid,right);
    }
    return;
}

void merge(list *array,int left,int mid,int right)
{
    int n1,n2;
    int i,j,k;
    static list L[MAX/2+2],R[MAX/2+2];   //LとRの配列を保存しておくためにstatic変数を使う

    n1 = mid-left;
    n2 = right-mid;

    for(i=0;i<n1;i++) L[i] = array[left+i];
    for(i=0;i<n2;i++) R[i] = array[mid+i];
    i=j=0;

    L[n1].num=R[n2].num=INFTY;          //最大の値を入れる事によって必ず配列に入れた値を比較しマージできる
    for(k=left;k<right;k++)
    {
        if(L[i].num<=R[j].num)
        {
            array[k]=L[i]; i++;
        }
        else
        {
            array[k]=R[j]; j++;
        }
    }
    return;
}