11/10-提高组笔记
2024-11-10 11:26:09
~亲戚-并查集模板
#include<iostream>
#include<cstring>
#include<queue>
#include<cstdio>
#include<cmath>
#include<algorithm>
#include<map>
#include<vector>
#include<stack>
#include<sstream>
#include<set>
#include<time.h>
#include<stdlib.h>
#include<unordered_map>
#define ll long long
#define ull unsigned long long
#define eps 1e-10
#define INF 1e9
#define delta 0.996
#define T 3000
#define pi acos(-1.0)
#define ld long double
using namespace std;
const ll mod1=1e9+7;
const ll mod2=998244353;
const int maxn = 2e5 + 10;
const int maxm = 2e5 + 10;
const ll inf=1e18L;
typedef pair<int,int>Pii;
typedef pair<int,ll>Pil;
using namespace std;
int father[5010], n, m, p;
int find(int x)//找根函数,记得进行路径压缩
{
if(father[x] == x) return x;
else return father[x] = find(father[x]);
}
int same(int x, int y)//简化代码
{
if(find(x) == find(y)) return 1;
else return 0;
}
int main()
{
ios::sync_with_stdio(0);
cin.tie(0);
cin >> n >> m >> p;
for(int i = 1; i <= n; i++)
{
father[i] = i;
}
while(m--)
{
int x, y;
cin >> x >> y;
int xx = find(x);
int yy = find(y);
if(xx != yy)
{
father[xx] = yy;
}
}
while(p--)
{
int x, y;
cin >> x >> y;
if(same(x, y) == 1) cout << "Yes\n";
else cout << "No\n";
}
return 0;
}
亲戚-高度优化介绍
#include<iostream>
#include<cstring>
#include<queue>
#include<cstdio>
#include<cmath>
#include<algorithm>
#include<map>
#include<vector>
#include<stack>
#include<sstream>
#include<set>
#include<time.h>
#include<stdlib.h>
#include<unordered_map>
#define ll long long
#define ull unsigned long long
#define eps 1e-10
#define INF 1e9
#define delta 0.996
#define T 3000
#define pi acos(-1.0)
#define ld long double
using namespace std;
const ll mod1=1e9+7;
const ll mod2=998244353;
const int maxn = 2e5 + 10;
const int maxm = 2e5 + 10;
const ll inf=1e18L;
typedef pair<int,int>Pii;
typedef pair<int,ll>Pil;
using namespace std;
int father[5010], n, m, p, high[5010];
int find(int x)//找根函数,记得进行路径压缩
{
if(father[x] == x) return x;
else return father[x] = find(father[x]);
}
void unite(int x, int y)//合并函数
{
x = find(x);
y = find(y);
if(x == y) return;
if(high[x] < high[y])
{
father[x] = y;
}
else
{
father[y] = x;
if(high[x] == high[y]) high[x]++;
}
}
int same(int x, int y)//简化代码
{
if(find(x) == find(y)) return 1;
else return 0;
}
int main()
{
ios::sync_with_stdio(0);
cin.tie(0);
cin >> n >> m >> p;
for(int i = 1; i <= n; i++)
{
father[i] = i;
high[i] = 1;
}
while(m--)
{
int x, y;
cin >> x >> y;
unite(x, y);
}
while(p--)
{
int x, y;
cin >> x >> y;
if(same(x, y) == 1) cout << "Yes\n";
else cout << "No\n";
}
return 0;
}
最小生成树-kruskal
#include<iostream>
#include<cstring>
#include<queue>
#include<cstdio>
#include<cmath>
#include<algorithm>
#include<map>
#include<vector>
#include<stack>
#include<sstream>
#include<set>
#include<time.h>
#include<stdlib.h>
#include<unordered_map>
#define ll long long
#define ull unsigned long long
#define eps 1e-10
#define INF 1e9
#define delta 0.996
#define T 3000
#define pi acos(-1.0)
#define ld long double
using namespace std;
const ll mod1=1e9+7;
const ll mod2=998244353;
const int maxn = 2e5 + 10;
const int maxm = 2e5 + 10;
const ll inf=1e18L;
typedef pair<int,int>Pii;
typedef pair<int,ll>Pil;
using namespace std;
int father[5010], n, m;
int find(int x)//找根函数,记得进行路径压缩
{
if(father[x] == x) return x;
else return father[x] = find(father[x]);
}
int same(int x, int y)//简化代码
{
if(find(x) == find(y)) return 1;
else return 0;
}
struct edge
{
int u, v, cost;//边的两个端点,cost是边的长度
}e[200010];
int cmp(edge e1, edge e2)
{
return e1.cost < e2.cost;
}
int kruskal()
{
sort(e + 1, e + 1 + m, cmp);
int res = 0;//边权总和
int cnt = 0;//边的数量
for(int i = 1; i <= m; i++)
{
if(same(e[i].u, e[i].v) == 0)
{
cnt++;
res += e[i].cost;
father[find(e[i].u)] = find(e[i].v);
}
}
if(cnt == n - 1) return res;
else return -1;
}
int main()
{
ios::sync_with_stdio(0);
cin.tie(0);
cin >> n >> m;
for(int i = 1; i <= n; i++)
{
father[i] = i;
}
for(int i = 1; i <= m; i++)
{
cin >> e[i].u >> e[i].v >> e[i].cost;
}
int ans = kruskal();
if(ans == -1) cout << "orz\n";
else cout << ans << '\n';
return 0;
}
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