【数据结构1-3】集合

P1551 亲戚

题目链接:P1551 亲戚 - 洛谷 | 计算机科学教育新生态 (luogu.com.cn)

#include 
using namespace std;
int fa[5005], Rank[5005];

int find(int x) {
	if (x == fa[x]) {
		return x;
	} else {
		fa[x] = find(fa[x]);
		return fa[x];
	}
}

void merge(int i, int j) {
	int x = find(i), y = find(j);
	if (Rank[x] <= Rank[y]) {
		fa[x] = y;
	} else {
		fa[y] = x;
	}
	if (Rank[x] == Rank[y] && x != y) {
		Rank[y]++;
	}
}

int main() {
	int n, m, p, x, y;
	cin >> n >> m >> p;
	for (int i = 1; i <= n; i++) {
		fa[i] = i;
		Rank[i] = 1;
	}
	for (int i = 0; i < m; i++) {
		cin >> x >> y;
		merge(x, y);
	}
	for (int i = 0; i < p; i++) {
		cin >> x >> y;
		if (find(x) == find(y)) {
			cout << "Yes" << endl;
		} else {
			cout << "No" << endl;
		}
	}
	return 0;
}

参考博客:算法学习笔记(1) : 并查集 - 知乎 (zhihu.com) 

error: reference to 'rank' is ambiguous_荷叶田田-CSDN博客

P1536 村村通

题目链接:P1536 村村通 - 洛谷 | 计算机科学教育新生态 (luogu.com.cn)

#include 
using namespace std;
int fa[1010], n, m;

int find(int x) {
	if (x == fa[x]) {
		return x;
	} else {
		fa[x] = find(fa[x]);
		return fa[x];
	}
}

void merge(int i, int j) {
	int x = find(i);
	int y = find(j);
	fa[x] = y;
}

int main() {
	while (true) {
		cin >> n;
		if (n == 0) {
			return 0;
		}
		cin >> m;
		for (int i = 1; i <= n; i++) {
			fa[i] = i;
		}
		int x, y;
		for (int i = 0; i < m; i++) {
			cin >> x >> y;
			merge(x, y);
		}
		int ans = 0;
		for (int i = 1; i <= n; i++) {
			if (i == find(i)) {
				ans++;
			}
		}
		ans--;
		cout << ans << endl;
	}
}

P3370 【模板】字符串哈希

题目链接:P3370 【模板】字符串哈希 - 洛谷 | 计算机科学教育新生态 (luogu.com.cn)

#include 
#include 
#include 
using namespace std;
long long f[100010];

unsigned long long Hash(string s) {
	unsigned long long cnt = 0;
	for (int i = 0; i < s.size(); i++) {
		cnt = 233 * cnt + (unsigned long long)s[i];
	}
	return cnt;
}

int main() {
	int n, ans = 1;
	cin >> n;
	string s;
	for (int i = 0; i < n; i++) {
		cin >> s;
		f[i] = Hash(s);
	}
	sort(f, f + n);
	for (int i = 1; i < n; i++) {
		if (f[i] != f[i - 1]) {
			ans++;
		}
	}
	cout << ans;
	return 0;
}

P3405 [USACO16DEC]Cities and States S

题目链接:P3405 [USACO16DEC]Cities and States S - 洛谷 | 计算机科学教育新生态 (luogu.com.cn)

#include 
#include 
#include 
using namespace std;
mapm[100010];

int main() {
	int n, ans = 0;
	cin >> n;
	string a, b;
	for (int i = 0; i < n; i++) {
		cin >> a >> b;
		int x = a[0] * 26 + a[1];
		int y = b[0] * 26 + b[1];
		if (x != y) {
			ans += m[y][x];
			m[x][y]++;
		}
	}
	cout << ans;
	return 0;
}

P5250 【深基17.例5】木材仓库

题目链接:P5250 【深基17.例5】木材仓库 - 洛谷 | 计算机科学教育新生态 (luogu.com.cn)

#include 
#include 
#include 
using namespace std;

int main() {
	int t, c, len;
	cin >> t;
	sets;
	s.insert(2147483647);
	s.insert(-2147483647);
	while (t--) {
		cin >> c >> len;
		if (c == 1) {
			if (!s.insert(len).second) {
				cout << "Already Exist" << endl;
			}
		} else {
			if (s.size() == 2) {
				cout << "Empty" << endl;
				continue;
			}
			set::iterator it = s.lower_bound(len); //it指向不小于目标值的第一个元素
			if (*it == len) {
				s.erase(len);
				cout << len << endl;
			} else {
				set::iterator it1;
				it1 = it;
				it1--;//it1指向小于目标值的第一个元素
				if (abs(*it - len) >= abs(*it1 - len) && *it1 != -2147483647) {
					cout << *it1 << endl;
					s.erase(it1);
				} else {
					cout << *it << endl;
					s.erase(it);
				}
			}
		}
	}
	return 0;
}

P5266 【深基17.例6】学籍管理

题目链接:P5266 【深基17.例6】学籍管理 - 洛谷 | 计算机科学教育新生态 (luogu.com.cn)

#include 
#include 
#include 
using namespace std;
mapm;

int main() {
	int t, c;
	cin >> t;
	while (t--) {
		cin >> c;
		if (c == 1) {
			string name;
			int score;
			cin >> name >> score;
			m[name] = score;
			cout << "OK" << endl;
		} else if (c == 2) {
			string s;
			cin >> s;
			map::iterator it = m.find(s);
			if (it == m.end()) {
				cout << "Not found" << endl;
			} else {
				cout << m[s] << endl;
			}
		} else if (c == 3) {
			string s;
			cin >> s;
			map::iterator it = m.find(s);
			if (it == m.end()) {
				cout << "Not found" << endl;
			} else {
				m.erase(it);
				cout << "Deleted successfully" << endl;
			}
		} else {
			cout << m.size() << endl;
		}
	}
	return 0;
}

P1918 保龄球

题目链接:P1918 保龄球 - 洛谷 | 计算机科学教育新生态 (luogu.com.cn)

#include 
#include 
using namespace std;
mapm;

int main() {
	int n, t, x;
	cin >> n;
	for (int i = 1; i <= n; i++) {
		cin >> x;
		m[x] = i;
	}
	cin >> t;
	while (t--) {
		cin >> x;
		cout << m[x] << endl;
	}
	return 0;
}

P1525 [NOIP2010 提高组] 关押罪犯

题目链接:P1525 [NOIP2010 提高组] 关押罪犯 - 洛谷 | 计算机科学教育新生态 (luogu.com.cn)

#include 
#include 
using namespace std;

struct Person {
	int x;
	int y;
	int z;
} f[100010];
int fa[20005], b[20005];

bool Com(Person p1, Person p2) {
	return p1.z > p2.z;
}

int find(int x) {
	if (fa[x] == x) {
		return x;
	} else {
		fa[x] = find(fa[x]);
		return fa[x];
	}
}

void merge(int x, int y) {
	int xx = find(x);
	int yy = find(y);
	fa[xx] = yy;
}

bool check(int x, int y) {
	if (find(x) == find(y)) {
		return true;
	} else {
		return false;
	}
}

int main() {
	int n, m;
	cin >> n >> m;
	for (int i = 1; i <= n; i++) {
		fa[i] = i;
	}
	for (int i = 1; i <= m; i++) {
		cin >> f[i].x >> f[i].y >> f[i].z;
	}
	sort(f + 1, f + m + 1, Com);
	for (int i = 1; i <= m; i++) {
		if (check(f[i].x, f[i].y)) {
			cout << f[i].z;
			return 0;
		} else {
			if (!b[f[i].x]) {
				b[f[i].x] = f[i].y;
			} else {
				merge(b[f[i].x], f[i].y);
			}
			if (!b[f[i].y]) {
				b[f[i].y] = f[i].x;
			} else {
				merge(b[f[i].y], f[i].x);
			}
		}
	}
	cout << 0;
	return 0;
}

P1621 集合

题目链接:P1621 集合 - 洛谷 | 计算机科学教育新生态 (luogu.com.cn)

#include 
#include 
#include 
using namespace std;
int fa[100010], c[100010];
bool IsPrime[100010];

int find(int x) {
	if (fa[x] == x) {
		return x;
	} else {
		fa[x] = find(fa[x]);
		return fa[x];
	}
}

void merge(int x, int y) {
	int xx = find(x);
	int yy = find(y);
	fa[xx] = yy;
}

int main() {
	int a, b, p, cnt = 0, ans = 0;
	cin >> a >> b >> p;
	for (int i = a; i <= b; i++) {
		fa[i] = i;
	}
	memset(IsPrime, 1, sizeof(IsPrime));
	IsPrime[0] = IsPrime[1] = 0;
	for (int i = 2; i <= sqrt(b); i++) {
		if (IsPrime[i]) {
			for (int j = 2 * i; j < 100010; j += i) {
				IsPrime[j] = 0;
			}
		}
	}
	for (int i = p; i <= b; i++) {
		if (IsPrime[i]) {
			c[++cnt] = i;
		}
	}
	for (int i = 1; i <= cnt; i++) {
		int d = 0;
		while (d * c[i] < a) {
			d++;
		}
		while (c[i] * (d + 1) <= b) {
			merge(c[i]*d, c[i] * (d + 1));
			d++;
		}
	}
	for (int i = a; i <= b; i++) {
		if (fa[i] == i) {
			ans++;
		}
	}
	cout << ans;
	return 0;
}

P1892 [BOI2003]团伙

题目链接:P1892 [BOI2003]团伙 - 洛谷 | 计算机科学教育新生态 (luogu.com.cn)

#include 
using namespace std;
int fa[1005], b[1005];

int find(int x) {
	if (fa[x] == x) {
		return x;
	} else {
		fa[x] = find(fa[x]);
		return fa[x];
	}
}

void merge(int x, int y) {
	int xx = find(x);
	int yy = find(y);
	fa[xx] = yy;
}

int main() {
	int n, m, x, y, ans = 0;
	char c;
	cin >> n >> m;
	for (int i = 1; i <= n; i++) {
		fa[i] = i;
	}
	while (m--) {
		cin >> c >> x >> y;
		if (c == 'E') {
			if (!b[x]) {
				b[x] = y;
			} else {
				merge(b[x], y);
			}
			if (!b[y]) {
				b[y] = x;
			} else {
				merge(b[y], x);
			}
		} else if (c == 'F') {
			merge(x, y);
		}
	}
	for (int i = 1; i <= n; i++) {
		if (fa[i] == i) {
			ans++;
		}
	}
	cout << ans;
	return 0;
}

P1955 [NOI2015] 程序自动分析

题目链接:P1955 [NOI2015] 程序自动分析 - 洛谷 | 计算机科学教育新生态 (luogu.com.cn)

#include 
#include 
#include 
#include 
using namespace std;
int fa[1000010], L[1000010];

struct node {
	int x;
	int y;
	int e;
} a[1000010];

int find(int x) {
	if (fa[x] == x) {
		return x;
	} else {
		fa[x] = find(fa[x]);
		return fa[x];
	}
}

void merge(int x, int y) {
	int xx = find(x);
	int yy = find(y);
	fa[xx] = yy;
}

bool Com(node n1, node n2) {
	return n1.e > n2.e;
}

int main() {
	int t, n;
	cin >> t;
	while (t--) {
		cin >> n;
		vectorv;
		bool flag = 0;
		for (int i = 1; i <= n * 2; i++) {
			fa[i] = i;
		}
		for (int i = 1; i <= n; i++) {
			cin >> a[i].x >> a[i].y >> a[i].e;
			v.push_back(a[i].x);
			v.push_back(a[i].y);
		}
		sort(a + 1, a + n + 1, Com);
		sort(v.begin(), v.end());
		v.erase(unique(v.begin(), v.end()), v.end());
		for (int i = 1; i <= n; i++) {
			a[i].x = lower_bound(v.begin(), v.end(), a[i].x) - v.begin() + 1;
			a[i].y = lower_bound(v.begin(), v.end(), a[i].y) - v.begin() + 1;
			if (a[i].e == 1) {
				merge(a[i].x, a[i].y);
			} else {
				if (find(a[i].x) == find(a[i].y)) {
					cout << "NO" << endl;
					flag = 1;
					break;
				}
			}
		}
		if (flag == 0) {
			cout << "YES" << endl;
		}
	}
	return 0;
}

参考博客:算法学习笔记(19): 离散化 - 知乎 (zhihu.com)

C++STL中的unique函数解析 - Excaliburer - 博客园 (cnblogs.com)

P4305 [JLOI2011]不重复数字

题目链接:P4305 [JLOI2011]不重复数字 - 洛谷 | 计算机科学教育新生态 (luogu.com.cn)

#include 
#include 
#include 
#define P 100007
using namespace std;
long long a[100000];

int Hash(int x) {
	int y = abs(x);
	while (a[y % P] != 0 && a[y % P] != x) {
		y++;
	}
	return y % P;
}

int main() {
	int t, n, x;
	cin >> t;
	while (t--) {
		cin >> n;
		bool flag = 0;
		memset(a, 0, sizeof(a));
		for (int i = 0; i < n; i++) {
			scanf("%d", &x);
			if (x == 0) { //特判0
				if (flag == 0) {
					flag = 1;
					printf("%d ", x);
				}
				continue;
			}
			int t = Hash(x);
			if (a[t] != x) {
				a[t] = x;
				printf("%d ", x);
			}
		}
		cout << endl;
	}
	return 0;
}

P3879 [TJOI2010]阅读理解

题目链接:P3879 [TJOI2010]阅读理解 - 洛谷 | 计算机科学教育新生态 (luogu.com.cn)

#include 
#include 
#include 
using namespace std;
int n, m, tree[500010][26], cnt, num;
bitset<1010> f[500010];
string str;

void insert(string s, int x) {
	int now = 0;
	for (int i = 0; i < s.size(); i++) {
		int p = s[i] - 'a';
		if (!tree[now][p]) {
			tree[now][p] = ++cnt;
		}
		now = tree[now][p];
	}
	f[now][x] = 1;
}

void check(string s) {
	int now = 0;
	for (int i = 0; i < s.size(); i++) {
		int p = s[i] - 'a';
		if (!tree[now][p]) {
			cout << endl;
			return;
		}
		now = tree[now][p];
	}
	for (int i = 1; i <= n; i++) {
		if (f[now][i]) {
			cout << i << ' ';
		}
	}
	cout << endl;
}

int main() {
	cin >> n;
	for (int i = 1; i <= n; i++) {
		cin >> num;
		for (int j = 0; j < num; j++) {
			cin >> str;
			insert(str, i);
		}
	}
	cin >> m;
	for (int i = 0; i < m; i++) {
		cin >> str;
		check(str);
	}
	return 0;
}

P2814 家谱

题目链接:P2814 家谱 - 洛谷 | 计算机科学教育新生态 (luogu.com.cn)

#include 
#include 
#include 
using namespace std;
mapfa;

string find(string x) {
	if (fa[x] == x) {
		return x;
	} else {
		fa[x] = find(fa[x]);
		return fa[x];
	}
}

int main() {
	string s, s1;
	while (cin >> s) {
		if (s[0] == '$') {
			break;
		} else if (s[0] == '#') {
			s.erase(0, 1);
			s1 = s;
			if (fa[s] == "") {
				fa[s] = s;
			}
		} else if (s[0] == '+') {
			s.erase(0, 1);
			fa[s] = s1;
		} else if (s[0] == '?') {
			s.erase(0, 1);
			cout << s << ' ' << find(s) << endl;
		}
	}
	return 0;
}

 

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