PAT--1126 Eulerian Path

题目链接:https://pintia.cn/problem-sets/994805342720868352/problems/994805349851185152

题目大意:

Eulerian:连通图且所有定点的度为偶数

Semi-Eulerian:连通图,且只有两个点的度为奇数

Non-Eulerian:其它

分析:并查集判断是否为连通图,再看各个定点的度就可以了,主要是没读懂题。。。

#include <bits/stdc++.h>
using namespace std;
const int N = 510;
int n, m, deg[N], pre[N], num[N];
void init() {
	for(int i = 1; i < N; i++) {
		pre[i] = i;
		num[i] = 1;
	}
}
int find(int x) {
	return x == pre[x] ? x : pre[x] = find(pre[x]);
}
void unionn(int a, int b) {
	int ra = find(a);
	int rb = find(b);
	if(ra != rb) {
		pre[rb] = ra;
		num[ra] += num[rb];
	}
}
int main() {
	init();
	scanf("%d %d", &n, &m);
	int a, b, odd = 0, even = 0;
	while(m--) {
		scanf("%d %d", &a, &b);
		deg[a]++;
		deg[b]++;
		unionn(a, b);
	}
	for(int i = 1; i <= n; i++) {
		if(deg[i] % 2 == 0) even++;
		else odd++;
	}
	for(int i = 1; i <= n; i++)
		printf("%d%s", deg[i], i == n ? "\n" : " ");
	int rt = find(1);
	if(num[rt] != n) {
		printf("Non-Eulerian\n");
	} else {
		if(even == n) printf("Eulerian\n");
		else if(odd == 2) printf("Semi-Eulerian\n");
		else printf("Non-Eulerian\n");
	}
	return 0;
}
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