【每日一题】10月19日题目精讲 对称二叉树
程序员文章站
2022-03-03 10:01:17
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https://ac.nowcoder.com/acm/problem/21472
遍历二叉树,用一个check函数来判断是否是对称二叉树,注意,一旦地下有不是对称二叉树的整个那条树都不是了(刚开始一直理解错题了),用dfs遍历来获得每个父节点的子节点个数,并且统计出来,最后遍历节点,判断函数就可以了。
注意:
需要用到快读,否则会TLE
#include<iostream>
#include<string>
#include<math.h>
#include<algorithm>
#include<vector>
#include<queue>
#include<bits/stdc++.h>
typedef long long ll;
#define INF 0x3f3f3f3f
ll gcd(ll a, ll b)
{
return b ? gcd(b, a % b) : a;
}
ll lcm(ll a, ll b) {
return a * b / (gcd(a, b));
}
#define PII pair<int,int>
using namespace std;
const int maxn = 2e6 + 10, mod = 1e9 + 7;
int qmi(int a, int k, int p) //快速幂模板
{
int res = 1;
while (k)
{
if (k & 1) res = (ll)res * a % p;
k >>= 1;
a = (ll)a * a % p;
}
return res;
}
template <class T>//快读
void read(T& x)
{
char c;
bool op = 0;
while (c = getchar(), c < '0' || c > '9')
if (c == '-')
op = 1;
x = c - '0';
while (c = getchar(), c >= '0' && c <= '9')
x = x * 10 + c - '0';
if (op)
x = -x;
}
template <class T>
void write(T x)
{
if (x < 0)
x = -x, putchar('-');
if (x >= 10)
write(x / 10);
putchar('0' + x % 10);
}
///
/*struct Edge
{
int v, w, next;
}edge[maxn];
int tot = 0;
int head[maxn];
inline void Add_edge(int u, int v, int w)//建立邻接表
{
edge[++tot].next = head[u];
head[u] = tot;
edge[tot].v = v;
edge[tot].w = w;
}*/
///
struct Edge {
int from, to, dist;
};
struct HeadNode {
int d, u;
bool operator <(const HeadNode& rhs) const {
return d < rhs.d;
}
};
int n, m;
vector<Edge> edges;
vector<int> G[maxn];
int d[maxn];
int p[maxn];
bool done[maxn];
void init(int n) {
for (int i = 0; i < n; i++)
G[i].clear();
edges.clear();
}
void Addedge(int from, int to, int dist) {
edges.push_back({ from, to, dist });
m = edges.size();
G[from].push_back(m - 1);
}
void dijstra(int s) {//dijstra的优先队列优化
priority_queue<HeadNode> Q;
for (int i = 0; i < n; i++)
d[i] = INF;
d[s] = 0;
Q.push({ 0,s });
memset(done, 0, sizeof(done));
while (!Q.empty()) {
HeadNode x;
x = Q.top();
Q.pop();
int u = x.u;
if (done[u])
continue;
done[u] = 1;
for (int i = 0; i < G[u].size(); i++) {
Edge& e = edges[G[u][i]];
if (d[e.to] > d[u] + e.dist) {
d[e.to] = d[u] + e.dist;
p[e.to] = G[u][i];
Q.push({ d[e.to],e.to });
}
}
}
}
struct node {
int val;
int l, r;
int size;
}tree[maxn];
bool check(int x, int y) {
if (x == -1 && y == -1)
return true;
if ((x == -1 && y != -1) || (x != -1 && y == -1))
return false;
if (tree[x].val != tree[y].val)
return false;
if (check(tree[x].l, tree[y].r) && check(tree[x].r, tree[y].l))
return true;
return false;
}
void DFS(int v) {
tree[v].size = 1;//初始化
if (tree[v].l != -1) {
DFS(tree[v].l);
tree[v].size += tree[tree[v].l].size;
}
if (tree[v].r != -1) {
DFS(tree[v].r);
tree[v].size += tree[tree[v].r].size;
}
}
int main() {
cin >> n;
for (int i = 1; i <= n; i++) {
read(tree[i].val);
}
for (int i = 1; i <= n; i++) {
read(tree[i].l);
read(tree[i].r);
}
DFS(1);
int ans = -INF;
for (int i = 1; i <= n; i++) {
if (check(tree[i].l, tree[i].r))
ans = max(ans, tree[i].size);
}
cout << ans << endl;
return 0;
}
/*
10
2 2 5 5 5 5 4 4 2 3
9 10
-1 -1
-1 -1
-1 -1
-1 -1
-1 2
3 4
5 6
-1 -1
7 8
*/
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