Homework Introduction
#include <bits/stdc++.h>
using namespace std;
const int N = 2e5 + 5;
int n, m, fa[N];
int find(int x) { //寻找x所在集合的祖先
if (x == fa[x])
return x;
return fa[x] = find(fa[x]);
}
void merge(int x, int y) {
int fx = find(x), fy = find(y);
if (fx != fy) {
fa[fx] = fy;
}
}
int main() {
cin >> n >> m;
for (int i = 1; i <= n; i++) {
fa[i] = i;
}
for (int i = 1; i <= m; i++) {
int pos, x, y;
cin >> pos >> x >> y;
if (pos == 1) {
merge(x, y);
} else {
int fx = find(x), fy = find(y);
if (fx == fy) {
cout << "Y" << endl;
} else
cout << "N" << endl;
}
}
return 0;
}
#include <bits/stdc++.h>
using namespace std;
const int N = 1e5 + 5;
int c, T, n, m, fa[N << 1], val[N], ok[N], p[N], q[N], siz[N * 2];
int find(int x) {
if (fa[x] == x)
return x;
else
return fa[x] = find(fa[x]);
}
void merge(int x, int y) {
int fx = find(x);
int fy = find(y);
if (fx != fy) {
fa[fx] = fy;
siz[fy] += siz[fx];
}
}
int main() {
cin >> c >> T;
while (T--) {
cin >> n >> m;
for (int i = 1; i <= n; i++) {
p[i] = i;
ok[i] = 0;
val[i] = 0;
q[i] = 1;
}
for (int i = 1; i <= 2 * n; i++) {
fa[i] = i;
if (i <= n)
siz[i] = 1;
else
siz[i] = 0;
}
for (int i = 1; i <= m; i++) {
char opt;
int x, y;
cin >> opt >> x;
if (opt == 'T') {
val[x] = 1;
ok[x] = 1;
} else if (opt == 'F') {
val[x] = -1;
ok[x] = 1;
} else if (opt == 'U') {
val[x] = 0;
ok[x] = 1;
} else if (opt == '+') {
cin >> y;
if (ok[y]) {
val[x] = val[y];
ok[x] = 1;
} else {
ok[x] = 0;
p[x] = p[y];
q[x] = q[y];
}
} else if (opt == '-') {
cin >> y;
if (ok[y]) {
val[x] = -val[y];
ok[x] = 1;
} else {
ok[x] = 0;
p[x] = p[y];
q[x] = -q[y];
}
}
}
for (int i = 1; i <= n; i++) {
if (ok[i]) {
continue;
}
int x = p[i];
if (q[x] == 1) {
merge(i, x);
merge(i + n, x + n);
} else {
merge(i, x + n);
merge(i + n, x);
}
}
int res = 0;
for (int i = 1; i <= n; i++) {
if (find(i) == find(i + n)) {
res += siz[find(i)];
siz[find(i)] = 0;
} else if (ok[i] == 1 && val[i] == 0) {
res += siz[find(i)];
siz[find(i)] = 0;
res += siz[find(i + n)];
siz[find(i + n)] = 0;
}
}
cout << res << endl;
}
return 0;
}
#include <bits/stdc++.h>
using namespace std;
const int N = 1e4 + 5, M = 5e4 + 5;
struct edge {
int u, v, w;
} p[M];
struct node {
int v, w;
};
vector<node>e[N];
int n, m, fa[N], dep[N], f[N][25], g[N][25], q;
void dfs(int x, int father, int deep, int w) {
dep[x] = deep;
f[x][0] = father;
g[x][0] = w;
for (int i = 1; i <= 21; i++) {
f[x][i] = f[f[x][i - 1]][i - 1];
g[x][i] = min(g[f[x][i - 1]][i - 1], g[x][i - 1]);
}
for (int i = 0; i < e[x].size(); i++) {
int v = e[x][i].v;
int w = e[x][i].w;
if (v == father)
continue;
dfs(v, x, deep + 1, w);
}
}
int lca(int x, int y) {
if (dep[x] > dep[y])
swap(x, y);
int res = 1e9;
for (int j = 21; j >= 0; j--) {
if (dep[f[y][j]] >= dep[x]) {
res = min(res, g[y][j]);
y = f[y][j];
}
}
// cout << x << " " << y << " " << res << endl;
if (x == y)
return res;
for (int j = 21; j >= 0; j--) {
if (f[y][j] != f[x][j]) {
res = min(res, min(g[y][j], g[x][j]));
y = f[y][j];
x = f[x][j];
}
}
return min(res, min(g[x][0], g[y][0]));
}
bool cmp(edge a, edge b) {
return a.w > b.w;
}
int find(int x) {
if (x == fa[x])
return x;
else
return fa[x] = find(fa[x]);
}
void merge(int x, int y) {
int fx = find(x), fy = find(y);
if (fx != fy)
fa[fx] = fy;
}
int main() {
cin >> n >> m;
for (int i = 1; i <= n; i++)
fa[i] = i;
for (int i = 1; i <= m; i++) {
cin >> p[i].u >> p[i].v >> p[i].w;
}
sort(p + 1, p + m + 1, cmp);
for (int i = 1; i <= m; i++) {
int u = p[i].u, v = p[i].v, w = p[i].w;
if (find(u) != find(v)) {
e[u].push_back({v, w});
e[v].push_back({u, w});
merge(u, v);
}
}
for (int i = 1; i <= n; i++) {
if (dep[i] == 0) {
dfs(i, 0, 1, 0);
}
}
cin >> q;
while (q--) {
int x, y;
cin >> x >> y;
if (find(x) != find(y))
cout << -1 << endl;
else {
cout << lca(x, y) << endl;
}
}
return 0;
}
Problem
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- Status
- Live...
- Problem
- 26
- Open Since
- 2025-8-10 13:30
- Deadline
- 2025-8-31 23:59
- Extension
- 24 hour(s)