02-线性结构3 Pop Sequence
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Given a stack which can keep M numbers at most. Push N numbers in the order of 1, 2, 3, ..., N and pop randomly. You are supposed to tell if a given sequence of numbers is a possible pop sequence of the stack. For example, if M is 5 and N is 7, we can obtain 1, 2, 3, 4, 5, 6, 7 from the stack, but not 3, 2, 1, 7, 5, 6, 4.
Input Specification:
Each input file contains one test case. For each case, the first line contains 3 numbers (all no more than 1000): M (the maximum capacity of the stack), N (the length of push sequence), and K (the number of pop sequences to be checked). Then K lines follow, each contains a pop sequence of N numbers. All the numbers in a line are separated by a space.
Output Specification:
For each pop sequence, print in one line "YES" if it is indeed a possible pop sequence of the stack, or "NO" if not.
Sample Input:
5 7 51 2 3 4 5 6 73 2 1 7 5 6 47 6 5 4 3 2 15 6 4 3 7 2 11 7 6 5 4 3 2
Sample Output:
YESNONOYESNO
#include<stdio.h>#include<stdlib.h> #define MaxSize 1001 //堆栈最大深度 struct SNode { int Data[MaxSize]; /* 存储元素的数组 */ int Top; /* 栈顶指针 */ // int cap; /* 堆栈最大容量 *///cap =Top+1; };typedef struct SNode *Stack; Stack CreateStack( );void Pop( Stack S );void Push( Stack S, int X );int Cheak_stack(int v[],int M,int N);int Top_data(Stack S);int main(){int M, N, K;//M (the maximum capacity of the stack) //N (the length of push sequence) //K (the number of pop sequences to be checked)scanf("%d %d %d",&M,&N,&K);//存储push进的数据 int *value = (int*)malloc(sizeof(int)*N);//Value是数组; //数据输入 for(int i = 0; i < K; i++){for( int j = 0; j != N; j++){scanf("%d",value+j);}if(Cheak_stack(value,M,N)){printf("YES\n");}else{printf("NO\n");}}return 0;}Stack CreateStack( ){ Stack S = (Stack)malloc(sizeof(struct SNode)); S->Top = -1; S->cap = MaxSize; return S;}void Push( Stack S, int X ){ if ( S->Top == S->cap-1 ) { printf("Full"); return; } else { S->Data[++(S->Top)] = X; return ; }} int Top_data(Stack S){//给出Top所指向的元素return(S->Data[S->Top]); }void Pop( Stack S ){ if ( S->Top == -1 ) { printf("Empty"); return ; } //return ( S->Data[(S->Top)--] ); S->Top--; }int Cheak_stack(int v[],int M,int N){int new_cap = M;Stack s = CreateStack( );//在堆栈里做一个数用于比较进行压栈 Push(s,0);int index = 0;//index of vint num = 1;//Push进的数字,从1,2,3,4依次push。 while(index != N){//按顺序压入栈 1 2 3弹出数字后,接着从4,5,6压进栈 while(Top_data(s) < v[index] && index != N && (s->Top) < new_cap )//1.当要压入的数小于这个index所pop的数//2.pop的数的比对没有走完 //3.没有超过堆栈的最大深度 {Push(s,num++);} if(Top_data(s) == v[index]){Pop(s);index++;}else{return 0;}}return 1;}
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