欧拉路与欧拉回路
https://www.acwing.com/problem/content/submission/code_detail/4121247/
#include <bits/stdc++.h>
using namespace std;
#define IO ios::sync_with_stdio(false);cin.tie(0); cout.tie(0);
inline int lowbit(int x) { return x & (-x); }
#define ll long long
#define ull unsigned long long
#define pb push_back
#define PII pair<int, int>
#define VIT vector<int>
#define x first
#define y second
#define inf 0x3f3f3f3f
const int N = 100010, M = 400010;
int type;
int n, m;
int h[N], e[M], ne[M], idx;
bool used[M];
int ans[M], cnt;
int din[N], dout[N];
void add(int a, int b) {
e[idx] = b, ne[idx] = h[a], h[a] = idx++;
}
void dfs(int u) {
for (int &i = h[u]; ~i;) {
if (used[i]) {
i = ne[i];
continue;
}
used[i] = 1;
if (type == 1) used[i ^ 1] = 1;
int t;
if (type == 1) {
t = i / 2 + 1;
if (i & 1) t = -t;
} else t = i + 1;
int j = e[i];
i = ne[i];
dfs(j);
ans[++cnt] = t;
}
}
int main() {
//IO;
cin >> type;
cin >> n >> m;
memset(h, -1, sizeof h);
for (int i = 0; i < m; ++i) {
int a, b;
cin >> a >> b;
add(a, b);
if (type == 1) add(b, a);
din[b]++, dout[a]++;
}
if (type == 1) {
for (int i = 1; i <= n; ++i)
if (din[i] + dout[i] & 1) {
puts("NO");
return 0;
}
}
else {
for (int i = 1; i <= n; ++i)
if (din[i] != dout[i]) {
puts("NO");
return 0;
}
}
for (int i = 1; i <= n; ++i)
if (h[i] != -1) {
dfs(i);
break;
}
if (cnt < m) {
puts("NO");
return 0;
}
puts("YES");
for (int i = cnt; i; --i) cout << ans[i] << ' ';
puts("");
return 0;
}