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题目描述:
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欧拉回路是指不令笔离开纸面,可画过图中每条边仅一次,且可以回到起点的一条回路。现给定一个图,问是否存在欧拉回路?
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输入:
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测试输入包含若干测试用例。每个测试用例的第1行给出两个正整数,分别是节点数N ( 1 < N < 1000 )和边数M;随后的M行对应M条边,每行给出一对正整数,分别是该条边直接连通的两个节点的编号(节点从1到N编号)。当N为0时输入结束。
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输出:
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每个测试用例的输出占一行,若欧拉回路存在则输出1,否则输出0。
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样例输入:
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3 3
1 2
1 3
2 3
3 2
1 2
2 3
0
样例输出:
1
0
#include
using namespace std;
const int max = 1001;
int G[max][max];
int du[max];
bool visite[max];
int n, m;
bool judge()
{
for (int i = 1; i <= n; i++)
{
if (du[i] % 2 != 0 || du[i] == 0)
return false;
}
return true;
}
void DFS(int start, int &counts)
{
for (int i = 1; i <= n; i++)
{
if (G[start][i] && !visite[i])
{
counts++;
visite[i] = true;
DFS(i, counts);
}
}
}
int main()
{
int s, e, counts;
cin >> n;
while (n!=0)
{
counts = 1;
for (int i = 0; i <= n;i++)
for (int j = 0; j <= n; j++)
{
G[i][j] = 0;
}
for (int i=0;i<=n;i++)
{
du[i] = 0;
visite[i] = false;
}
cin >> m;
for (int i = 0; i
> s >> e; G[s][e] = 1; G[e][s] = 1; du[s]++; du[e]++; } visite[1] = true;; DFS(1, counts); if (counts == n&&judge()) cout << "1" << endl; else cout << "0" << endl; cin >> n; } return 0; }
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