将一系列给定数字顺序插入一个初始为空的小顶堆H[]。随后判断一系列相关命题是否为真。命题分下列几种:
- x is the root:x是根结点;
- x and y are siblings:x和y是兄弟结点;
- x is the parent of y:x是y的父结点;
- x is a child of y:x是y的一个子结点。
输入格式:
每组测试第1行包含2个正整数N(≤ 1000)和M(≤ 20),分别是插入元素的个数、以及需要判断的命题数。下一行给出区间[−10000,10000]内的N个要被插入一个初始为空的小顶堆的整数。之后M行,每行给出一个命题。题目保证命题中的结点键值都是存在的。
输出格式:
对输入的每个命题,如果其为真,则在一行中输出T,否则输出F。
输入样例:
5 4
46 23 26 24 10
24 is the root
26 and 23 are siblings
46 is the parent of 23
23 is a child of 10
输出样例:
F
T
F
T
#include <cstdio>
#include <vector>
#include <cstring>
using namespace std;
vector<int> v;
int n;
void upAdjust(int i)
{
if(i == 1)
{
return ;
}
while(i != 1)
{
if(v[i] < v[i / 2])
{
swap(v[i], v[i / 2]);
i = i / 2;
}
else
{
break;
}
}
}
void judge1(int a)
{
if(v[1] == a)
{
printf("T\n");
}
else
{
printf("F\n");
}
}
void judge2(int a, int b)
{
int indexa = 0, indexb = 0;
for(int i = 1; i <= n; i++)
{
if(v[i] == a)
{
indexa = i;
}
if(v[i] == b)
{
indexb = i;
}
}
if(indexa > indexb)
{
swap(indexa, indexb);
}
if(indexa % 2 == 0 && indexb - indexa == 1)
{
printf("T\n");
}
else
{
printf("F\n");
}
}
void judge3(int a, int b)
{
int indexa = 0, indexb = 0;
for(int i = 1; i <= n; i++)
{
if(v[i] == a)
{
indexa = i;
}
if(v[i] == b)
{
indexb = i;
}
}
if((2 * indexa) == indexb || (2 * indexa) + 1 == indexb)
{
printf("T\n");
}
else
{
printf("F\n");
}
}
void judge4(int a, int b)
{
int indexa = 0, indexb = 0;
for(int i = 1; i <= n; i++)
{
if(v[i] == a)
{
indexa = i;
}
if(v[i] == b)
{
indexb = i;
}
}
if(indexa == indexb * 2 || indexa == 2 * indexb + 1)
{
printf("T\n");
}
else
{
printf("F\n");
}
}
int main()
{
int k, a, b;
char c[100];
scanf("%d%d", &n, &k);
v.resize(n + 1);
for(int i = 1; i <= n; i++)
{
scanf("%d", &v[i]);
upAdjust(i);
}
for(int i = 0; i < k; i++)
{
scanf("%d%s", &a, c);
if(strcmp(c, "and") == 0)
{
scanf("%d%s%s", &b, c, c);
judge2(a, b);
}
else
{
scanf("%s", c);
if(strcmp(c, "a") == 0)
{
scanf("%s%s%d", c, c, &b);
judge4(a, b);
}
else
{
scanf("%s", c);
if(strcmp(c, "root") == 0)
{
judge1(a);
}
else
{
scanf("%s%d", c, &b);
judge3(a, b);
}
}
}
}
return 0;
}