思路 :根据题意得出若该图存在奇环或者一个数出现三次则无解,反之有解,利用染色法+map判断即可。
void add(int a, int b) {
e[idx] = b, ne[idx] = h[a], h[a] = idx++;
}
bool dfs(int u, int c) {
col[u] = c;
for (int i = h[u]; ~i; i = ne[i]) {
int j = e[i];
if (!col[j]) {
if (!dfs(j, !c)) return false;
} else if (col[j] == c)
return false;
}
return true;
}
void solve() {
map<int, int> mp;
int f = 0;
idx = 0;
mem(col, 0);
mem(h, -1);
cin >> n;
for (int i = 1; i <= n; i++) {
int a, b;
cin >> a >> b;
if (mp[a] == 2 || mp[b] == 2) f = 1;
mp[a]++, mp[b]++;
add(a, b);
add(b, a);
}
if (f) {
no;
return;
}
for (int i = 1; i <= n; i++) {
if (!col[i])
if (!dfs(i, 0)) {
no;
return;
}
}
yes;
}