Add a bunch of other problems

This commit is contained in:
2025-10-01 10:35:36 -03:00
parent 489cb2ba51
commit e3421b4066
71 changed files with 9894 additions and 0 deletions

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/* Problem URL: https://codeforces.com/edu/course/2/lesson/7/2/practice/contest/289391/problem/A */
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace std;
using namespace __gnu_pbds;
template <class T, class comp = less<>>
using ordered_set = tree<T, null_type , comp , rb_tree_tag , tree_order_statistics_node_update>;
#define V vector
#define rmin(a, b) a = min(a, b)
#define rmax(a, b) a = max(a, b)
#define rep(i, lim) for (int i = 0; i < (lim); i++)
#define nrep(i, s, lim) for (int i = s; i < (lim); i++)
#define repv(i, v) for (auto &i : (v))
#define fillv(v) for (auto &itr_ : (v)) { cin >> itr_; }
#define sortv(v) sort(v.begin(), v.end())
#define all(v) (v).begin(), (v).end()
using vi = vector<int>;
using vvi = vector<vi>;
using vvvi = vector<vvi>;
using vvvvi = vector<vvvi>;
using ll = long long;
using vl = vector<ll>;
using vvl = vector<vl>;
using vvvl = vector<vvl>;
using vvvvl = vector<vvvl>;
template<class v>
auto operator<<(ostream &os, const vector<v> &vec)->ostream& {
os << vec[0];
for (size_t i = 1; i < vec.size(); i++) {
os << ' ' << vec[i];
}
os << '\n';
return os;
}
template<class v>
auto operator>>(istream &is, vector<v> &vec)->istream& {
for (auto &i : vec) {
is >> i;
}
return is;
}
template<class v>
auto operator<<(ostream &os, const vector<vector<v>> &vec)->ostream& {
for (auto &i : vec) {
os << i[0];
for (size_t j = 1; j < i.size(); j++) {
os << ' ' << i[j];
}
os << '\n';
}
return os;
}
template<class v>
auto operator>>(istream &is, vector<vector<v>> &vec)->istream& {
for (auto &i : vec) {
for (auto &j : i) {
is >> j;
}
}
return is;
}
int main()
{
ios::sync_with_stdio(false);
cin.tie(nullptr);
int n, m;
cin >> n >> m;
vi dsu(n + 1);
rep(i, n + 1) {
dsu[i] = i;
}
function<int(int)> find_p = [&](int i) {
if (dsu[i] == i) {
return i;
}
return dsu[i] = find_p(dsu[i]);
};
auto join = [&](int a, int b) {
a = find_p(a);
b = find_p(b);
if (a < b) {
swap(a, b);
}
dsu[b] = a;
};
while (m--) {
char op;
int x;
cin >> op >> x;
x--;
if (op == '-') {
join(x, x + 1);
continue;
}
x = find_p(x);
if (x == n) {
cout << "-1\n";
continue;
}
cout << x + 1 << '\n';
}
}

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/* Problem URL: https://codeforces.com/edu/course/2/lesson/7/2/practice/contest/289391/problem/B */
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace std;
using namespace __gnu_pbds;
template <class T, class comp = less<>>
using ordered_set = tree<T, null_type , comp , rb_tree_tag , tree_order_statistics_node_update>;
#define V vector
#define rmin(a, b) a = min(a, b)
#define rmax(a, b) a = max(a, b)
#define rep(i, lim) for (int i = 0; i < (lim); i++)
#define nrep(i, s, lim) for (int i = s; i < (lim); i++)
#define repv(i, v) for (auto &i : (v))
#define fillv(v) for (auto &itr_ : (v)) { cin >> itr_; }
#define sortv(v) sort(v.begin(), v.end())
#define all(v) (v).begin(), (v).end()
using vi = vector<int>;
using vvi = vector<vi>;
using vvvi = vector<vvi>;
using vvvvi = vector<vvvi>;
using ll = long long;
using vl = vector<ll>;
using vvl = vector<vl>;
using vvvl = vector<vvl>;
using vvvvl = vector<vvvl>;
template<class v>
auto operator<<(ostream &os, const vector<v> &vec)->ostream& {
os << vec[0];
for (size_t i = 1; i < vec.size(); i++) {
os << ' ' << vec[i];
}
os << '\n';
return os;
}
template<class v>
auto operator>>(istream &is, vector<v> &vec)->istream& {
for (auto &i : vec) {
is >> i;
}
return is;
}
template<class v>
auto operator<<(ostream &os, const vector<vector<v>> &vec)->ostream& {
for (auto &i : vec) {
os << i[0];
for (size_t j = 1; j < i.size(); j++) {
os << ' ' << i[j];
}
os << '\n';
}
return os;
}
template<class v>
auto operator>>(istream &is, vector<vector<v>> &vec)->istream& {
for (auto &i : vec) {
for (auto &j : i) {
is >> j;
}
}
return is;
}
int main()
{
ios::sync_with_stdio(false);
cin.tie(nullptr);
int n;
cin >> n;
vi dsu(n);
rep(i, n) {
dsu[i] = i;
}
function<int(int)> find_p = [&](int i) {
if (dsu[i] == i) {
return i;
}
return dsu[i] = find_p(dsu[i]);
};
auto join = [&](int a, int b) {
dsu[find_p(a)] = find_p(b);
};
vi ans(n);
rep(i, n) {
int x;
cin >> x;
x--;
x = find_p(x);
ans[i] = x + 1;
join(x, (x + 1) * ((x + 1) < n));
}
cout << ans;
}

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/* Problem URL: https://codeforces.com/edu/course/2/lesson/7/2/practice/contest/289391/problem/C */
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace std;
using namespace __gnu_pbds;
template <class T, class comp = less<>>
using ordered_set = tree<T, null_type , comp , rb_tree_tag , tree_order_statistics_node_update>;
#define V vector
#define rmin(a, b) a = min(a, b)
#define rmax(a, b) a = max(a, b)
#define rep(i, lim) for (int i = 0; i < (lim); i++)
#define nrep(i, s, lim) for (int i = s; i < (lim); i++)
#define repv(i, v) for (auto &i : (v))
#define fillv(v) for (auto &itr_ : (v)) { cin >> itr_; }
#define sortv(v) sort(v.begin(), v.end())
#define all(v) (v).begin(), (v).end()
using vi = vector<int>;
using vvi = vector<vi>;
using vvvi = vector<vvi>;
using vvvvi = vector<vvvi>;
using ll = long long;
using vl = vector<ll>;
using vvl = vector<vl>;
using vvvl = vector<vvl>;
using vvvvl = vector<vvvl>;
template<class v>
auto operator<<(ostream &os, const vector<v> &vec)->ostream& {
os << vec[0];
for (size_t i = 1; i < vec.size(); i++) {
os << ' ' << vec[i];
}
os << '\n';
return os;
}
template<class v>
auto operator>>(istream &is, vector<v> &vec)->istream& {
for (auto &i : vec) {
is >> i;
}
return is;
}
template<class v>
auto operator<<(ostream &os, const vector<vector<v>> &vec)->ostream& {
for (auto &i : vec) {
os << i[0];
for (size_t j = 1; j < i.size(); j++) {
os << ' ' << i[j];
}
os << '\n';
}
return os;
}
template<class v>
auto operator>>(istream &is, vector<vector<v>> &vec)->istream& {
for (auto &i : vec) {
for (auto &j : i) {
is >> j;
}
}
return is;
}
int main()
{
ios::sync_with_stdio(false);
cin.tie(nullptr);
int n, q;
cin >> n >> q;
vi dsui(n);
vi dsup(n);
rep(i, n) {
dsui[i] = i;
dsup[i] = i;
}
function<int(vi&, int)> find_p = [&](vi &dsu, int i) {
if (dsu[i] == i) {
return i;
}
return dsu[i] = find_p(dsu, dsu[i]);
};
auto join = [&](vi &dsu, int a, int b) {
a = find_p(dsu, a);
b = find_p(dsu, b);
if (a < b) {
swap(a, b);
}
dsu[b] = a;
};
while (q--) {
int op;
cin >> op;
if (op == 1) {
int a, b;
cin >> a >> b;
a--, b--;
join(dsui, a, b);
continue;
}
if (op == 2) {
int x, y;
cin >> x >> y;
x--, y--;
while (x = find_p(dsup, x), x < y) {
join(dsup, x, x + 1);
join(dsui, x, x + 1);
}
continue;
}
int a, b;
cin >> a >> b;
a--, b--;
if (find_p(dsui, a) == find_p(dsui, b) || find_p(dsup, a) == find_p(dsup, b)) {
cout << "YES\n";
} else {
cout << "NO\n";
}
}
}

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/* Problem URL: https://codeforces.com/edu/course/2/lesson/7/2/practice/contest/289391/problem/D */
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace std;
using namespace __gnu_pbds;
template <class T, class comp = less<>>
using ordered_set = tree<T, null_type , comp , rb_tree_tag , tree_order_statistics_node_update>;
#define V vector
#define rmin(a, b) a = min(a, b)
#define rmax(a, b) a = max(a, b)
#define rep(i, lim) for (int i = 0; i < (lim); i++)
#define nrep(i, s, lim) for (int i = s; i < (lim); i++)
#define repv(i, v) for (auto &i : (v))
#define fillv(v) for (auto &itr_ : (v)) { cin >> itr_; }
#define sortv(v) sort(v.begin(), v.end())
#define all(v) (v).begin(), (v).end()
using vi = vector<int>;
using vvi = vector<vi>;
using vvvi = vector<vvi>;
using vvvvi = vector<vvvi>;
using ll = long long;
using vl = vector<ll>;
using vvl = vector<vl>;
using vvvl = vector<vvl>;
using vvvvl = vector<vvvl>;
template<class v>
auto operator<<(ostream &os, const vector<v> &vec)->ostream& {
os << vec[0];
for (size_t i = 1; i < vec.size(); i++) {
os << ' ' << vec[i];
}
os << '\n';
return os;
}
template<class v>
auto operator>>(istream &is, vector<v> &vec)->istream& {
for (auto &i : vec) {
is >> i;
}
return is;
}
template<class v>
auto operator<<(ostream &os, const vector<vector<v>> &vec)->ostream& {
for (auto &i : vec) {
os << i[0];
for (size_t j = 1; j < i.size(); j++) {
os << ' ' << i[j];
}
os << '\n';
}
return os;
}
template<class v>
auto operator>>(istream &is, vector<vector<v>> &vec)->istream& {
for (auto &i : vec) {
for (auto &j : i) {
is >> j;
}
}
return is;
}
int main()
{
ios::sync_with_stdio(false);
cin.tie(nullptr);
int n, m;
cin >> n >> m;
vi dsu(n);
vi ans(n);
rep(i, n) {
dsu[i] = i;
}
function<int(int)> find_p = [&](int i) {
if (dsu[i] == i) {
return i;
}
if (dsu[dsu[i]] != dsu[i]) {
int prev = dsu[i];
int tmp = find_p(dsu[i]);
ans[i] += ans[prev] + 1;
dsu[i] = tmp;
}
return dsu[i];
};
auto join = [&](int a, int b) {
dsu[find_p(a)] = find_p(b);
};
while (m--) {
int op;
cin >> op;
if (op == 1) {
int a, b;
cin >> a >> b;
a--, b--;
join(a, b);
continue;
}
int a;
cin >> a;
a--;
int p = find_p(a);
cout << (p == a ? 0 : ans[a] + 1) << '\n';
}
}

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/* Problem URL: https://codeforces.com/edu/course/2/lesson/7/2/practice/contest/289391/problem/E */
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace std;
using namespace __gnu_pbds;
template <class T, class comp = less<>>
using ordered_set = tree<T, null_type , comp , rb_tree_tag , tree_order_statistics_node_update>;
#define V vector
#define rmin(a, b) a = min(a, b)
#define rmax(a, b) a = max(a, b)
#define rep(i, lim) for (int i = 0; i < (lim); i++)
#define nrep(i, s, lim) for (int i = s; i < (lim); i++)
#define repv(i, v) for (auto &i : (v))
#define fillv(v) for (auto &itr_ : (v)) { cin >> itr_; }
#define sortv(v) sort(v.begin(), v.end())
#define all(v) (v).begin(), (v).end()
using vi = vector<int>;
using vvi = vector<vi>;
using vvvi = vector<vvi>;
using vvvvi = vector<vvvi>;
using ll = long long;
using vl = vector<ll>;
using vvl = vector<vl>;
using vvvl = vector<vvl>;
using vvvvl = vector<vvvl>;
template<class v>
auto operator<<(ostream &os, const vector<v> &vec)->ostream& {
os << vec[0];
for (size_t i = 1; i < vec.size(); i++) {
os << ' ' << vec[i];
}
os << '\n';
return os;
}
template<class v>
auto operator>>(istream &is, vector<v> &vec)->istream& {
for (auto &i : vec) {
is >> i;
}
return is;
}
template<class v>
auto operator<<(ostream &os, const vector<vector<v>> &vec)->ostream& {
for (auto &i : vec) {
os << i[0];
for (size_t j = 1; j < i.size(); j++) {
os << ' ' << i[j];
}
os << '\n';
}
return os;
}
template<class v>
auto operator>>(istream &is, vector<vector<v>> &vec)->istream& {
for (auto &i : vec) {
for (auto &j : i) {
is >> j;
}
}
return is;
}
int main()
{
ios::sync_with_stdio(false);
cin.tie(nullptr);
int n, m;
cin >> n >> m;
V<tuple<int, int, int>> edges(m);
for (auto &[c, u, v] : edges) {
cin >> u >> v >> c;
u--, v--;
}
sortv(edges);
vi dsu(n);
rep(i, n) {
dsu[i] = i;
}
function<int(int)> find_p = [&](int i) {
if (dsu[i] == i) {
return i;
}
return dsu[i] = find_p(dsu[i]);
};
auto join = [&](int a, int b) {
a = find_p(a);
b = find_p(b);
dsu[b] = a;
return a != b;
};
ll ans = 0;
for (auto [c, u, v] : edges) {
if (join(u, v)) {
ans += c;
}
}
cout << ans << '\n';
}

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/* Problem URL: https://codeforces.com/edu/course/2/lesson/7/2/practice/contest/289391/problem/F */
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace std;
using namespace __gnu_pbds;
template <class T, class comp = less<>>
using ordered_set = tree<T, null_type , comp , rb_tree_tag , tree_order_statistics_node_update>;
#define V vector
#define rmin(a, b) a = min(a, b)
#define rmax(a, b) a = max(a, b)
#define rep(i, lim) for (int i = 0; i < (lim); i++)
#define nrep(i, s, lim) for (int i = s; i < (lim); i++)
#define repv(i, v) for (auto &i : (v))
#define fillv(v) for (auto &itr_ : (v)) { cin >> itr_; }
#define sortv(v) sort(v.begin(), v.end())
#define all(v) (v).begin(), (v).end()
using vi = vector<int>;
using vvi = vector<vi>;
using vvvi = vector<vvi>;
using vvvvi = vector<vvvi>;
using ll = long long;
using vl = vector<ll>;
using vvl = vector<vl>;
using vvvl = vector<vvl>;
using vvvvl = vector<vvvl>;
template<class v>
auto operator<<(ostream &os, const vector<v> &vec)->ostream& {
os << vec[0];
for (size_t i = 1; i < vec.size(); i++) {
os << ' ' << vec[i];
}
os << '\n';
return os;
}
template<class v>
auto operator>>(istream &is, vector<v> &vec)->istream& {
for (auto &i : vec) {
is >> i;
}
return is;
}
template<class v>
auto operator<<(ostream &os, const vector<vector<v>> &vec)->ostream& {
for (auto &i : vec) {
os << i[0];
for (size_t j = 1; j < i.size(); j++) {
os << ' ' << i[j];
}
os << '\n';
}
return os;
}
template<class v>
auto operator>>(istream &is, vector<vector<v>> &vec)->istream& {
for (auto &i : vec) {
for (auto &j : i) {
is >> j;
}
}
return is;
}
int main()
{
ios::sync_with_stdio(false);
cin.tie(nullptr);
int n, m;
cin >> n >> m;
vvi graph(n);
V<tuple<ll, int, int>> edges(m);
for (auto &[c, u, v] : edges) {
cin >> u >> v >> c;
u--, v--;
}
vi dsu(n);
function<int(int)> find_p = [&](int i) {
if (dsu[i] == i) {
return i;
}
return dsu[i] = find_p(dsu[i]);
};
auto join = [&](int a, int b) {
a = find_p(a);
b = find_p(b);
dsu[b] = a;
return a != b;
};
sortv(edges);
ll oo = INT64_MAX >> 1;
auto getans = [&]() {
ll ans = oo;
rep(i, m) {
rep(j, n) {
dsu[j] = j;
}
ll minimal = oo;
ll maximal = -oo;
int num = n - 1;
int j = i;
while (j < m && num > 0) {
auto [c, u, v] = edges[j];
if (join(u, v)) {
rmin(minimal, c);
rmax(maximal, c);
num--;
}
j++;
}
if (num > 0) {
return ans;
}
rmin(ans, abs(maximal - minimal));
}
return ans;
};
ll ans = getans();
if (ans == oo) {
cout << "NO\n";
return 0;
}
cout << "YES\n" << ans << '\n';
}

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/* Problem URL: https://codeforces.com/edu/course/2/lesson/7/2/practice/contest/289391/problem/G */
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace std;
using namespace __gnu_pbds;
template <class T, class comp = less<>>
using ordered_set = tree<T, null_type , comp , rb_tree_tag , tree_order_statistics_node_update>;
#define V vector
#define rmin(a, b) a = min(a, b)
#define rmax(a, b) a = max(a, b)
#define rep(i, lim) for (int i = 0; i < (lim); i++)
#define nrep(i, s, lim) for (int i = s; i < (lim); i++)
#define repv(i, v) for (auto &i : (v))
#define fillv(v) for (auto &itr_ : (v)) { cin >> itr_; }
#define sortv(v) sort(v.begin(), v.end())
#define all(v) (v).begin(), (v).end()
using vi = vector<int>;
using vvi = vector<vi>;
using vvvi = vector<vvi>;
using vvvvi = vector<vvvi>;
using ll = long long;
using vl = vector<ll>;
using vvl = vector<vl>;
using vvvl = vector<vvl>;
using vvvvl = vector<vvvl>;
template<class v>
auto operator<<(ostream &os, const vector<v> &vec)->ostream& {
os << vec[0];
for (size_t i = 1; i < vec.size(); i++) {
os << ' ' << vec[i];
}
os << '\n';
return os;
}
template<class v>
auto operator>>(istream &is, vector<v> &vec)->istream& {
for (auto &i : vec) {
is >> i;
}
return is;
}
template<class v>
auto operator<<(ostream &os, const vector<vector<v>> &vec)->ostream& {
for (auto &i : vec) {
os << i[0];
for (size_t j = 1; j < i.size(); j++) {
os << ' ' << i[j];
}
os << '\n';
}
return os;
}
template<class v>
auto operator>>(istream &is, vector<vector<v>> &vec)->istream& {
for (auto &i : vec) {
for (auto &j : i) {
is >> j;
}
}
return is;
}
int main()
{
ios::sync_with_stdio(false);
cin.tie(nullptr);
int n, k;
cin >> n >> k;
V<tuple<int, int, int>> edges(k);
for (auto &[c, u, v] : edges) {
cin >> u >> v >> c;
u--, v--;
}
vi dsu(n);
rep(i, n) {
dsu[i] = i;
}
function<int(int)> find_p = [&](int i) {
if (dsu[i] == i) {
return i;
}
return dsu[i] = find_p(dsu[i]);
};
auto join = [&](int a, int b) {
a = find_p(a);
b = find_p(b);
dsu[b] = a;
return a != b;
};
sortv(edges);
int ans = 0;
for (auto [c, u, v] : edges) {
if (join(u, v)) {
ans = c;
}
}
cout << ans << '\n';
}

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/* Problem URL: https://codeforces.com/edu/course/2/lesson/7/2/practice/contest/289391/problem/H */
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace std;
using namespace __gnu_pbds;
template <class T, class comp = less<>>
using ordered_set = tree<T, null_type , comp , rb_tree_tag , tree_order_statistics_node_update>;
#define V vector
#define rmin(a, b) a = min(a, b)
#define rmax(a, b) a = max(a, b)
#define rep(i, lim) for (int i = 0; i < (lim); i++)
#define nrep(i, s, lim) for (int i = s; i < (lim); i++)
#define repv(i, v) for (auto &i : (v))
#define fillv(v) for (auto &itr_ : (v)) { cin >> itr_; }
#define sortv(v) sort(v.begin(), v.end())
#define all(v) (v).begin(), (v).end()
using vi = vector<int>;
using vvi = vector<vi>;
using vvvi = vector<vvi>;
using vvvvi = vector<vvvi>;
using ll = long long;
using vl = vector<ll>;
using vvl = vector<vl>;
using vvvl = vector<vvl>;
using vvvvl = vector<vvvl>;
template<class v>
auto operator<<(ostream &os, const vector<v> &vec)->ostream& {
os << vec[0];
for (size_t i = 1; i < vec.size(); i++) {
os << ' ' << vec[i];
}
os << '\n';
return os;
}
template<class v>
auto operator>>(istream &is, vector<v> &vec)->istream& {
for (auto &i : vec) {
is >> i;
}
return is;
}
template<class v>
auto operator<<(ostream &os, const vector<vector<v>> &vec)->ostream& {
for (auto &i : vec) {
os << i[0];
for (size_t j = 1; j < i.size(); j++) {
os << ' ' << i[j];
}
os << '\n';
}
return os;
}
template<class v>
auto operator>>(istream &is, vector<vector<v>> &vec)->istream& {
for (auto &i : vec) {
for (auto &j : i) {
is >> j;
}
}
return is;
}
int main()
{
ios::sync_with_stdio(false);
cin.tie(nullptr);
int n, m;
ll s;
cin >> n >> m >> s;
vi dsu(n);
rep(i, n) {
dsu[i] = i;
}
function<int(int)> find_p = [&](int i) {
if (dsu[i] == i) {
return i;
}
return dsu[i] = find_p(dsu[i]);
};
auto join = [&](int a, int b) {
a = find_p(a);
b = find_p(b);
dsu[b] = a;
return a != b;
};
V<tuple<ll, int, int, int>> edges(m);
rep(i, m) {
auto &[c, j, u, v] = edges[i];
cin >> u >> v >> c;
u--, v--;
j = i;
}
sort(all(edges), greater<>());
V<pair<ll, int>> potential;
for (auto [c, i, u, v] : edges) {
if (!join(u, v)) {
potential.emplace_back(c, i);
}
}
rep(i, n) {
dsu[i] = i;
}
reverse(all(potential));
vi ans;
ll total = 0;
for (auto [c, i] : potential) {
if (total + c > s) {
break;
}
ans.push_back(i + 1);
total += c;
}
cout << ans.size() << '\n';
rep(i, ans.size()) {
cout << ans[i] << " \n"[i == ans.size() - 1];
}
}

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@@ -0,0 +1,142 @@
/* Problem URL: https://codeforces.com/edu/course/2/lesson/7/2/practice/contest/289391/problem/I */
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace std;
using namespace __gnu_pbds;
template <class T, class comp = less<>>
using ordered_set = tree<T, null_type , comp , rb_tree_tag , tree_order_statistics_node_update>;
#define V vector
#define rmin(a, b) a = min(a, b)
#define rmax(a, b) a = max(a, b)
#define rep(i, lim) for (int i = 0; i < (lim); i++)
#define nrep(i, s, lim) for (int i = s; i < (lim); i++)
#define repv(i, v) for (auto &i : (v))
#define fillv(v) for (auto &itr_ : (v)) { cin >> itr_; }
#define sortv(v) sort(v.begin(), v.end())
#define all(v) (v).begin(), (v).end()
using vi = vector<int>;
using vvi = vector<vi>;
using vvvi = vector<vvi>;
using vvvvi = vector<vvvi>;
using ll = long long;
using vl = vector<ll>;
using vvl = vector<vl>;
using vvvl = vector<vvl>;
using vvvvl = vector<vvvl>;
template<class v>
auto operator<<(ostream &os, const vector<v> &vec)->ostream& {
os << vec[0];
for (size_t i = 1; i < vec.size(); i++) {
os << ' ' << vec[i];
}
os << '\n';
return os;
}
template<class v>
auto operator>>(istream &is, vector<v> &vec)->istream& {
for (auto &i : vec) {
is >> i;
}
return is;
}
template<class v>
auto operator<<(ostream &os, const vector<vector<v>> &vec)->ostream& {
for (auto &i : vec) {
os << i[0];
for (size_t j = 1; j < i.size(); j++) {
os << ' ' << i[j];
}
os << '\n';
}
return os;
}
template<class v>
auto operator>>(istream &is, vector<vector<v>> &vec)->istream& {
for (auto &i : vec) {
for (auto &j : i) {
is >> j;
}
}
return is;
}
int main()
{
ios::sync_with_stdio(false);
cin.tie(nullptr);
int n, m;
cin >> n >> m;
vi dsu(n);
rep(i, n) {
dsu[i] = i;
}
vi depth(n);
function<pair<int, int>(int)> find_p = [&](int i) -> pair<int, int>{
if (dsu[i] == i) {
return {i, 0};
}
auto ans = find_p(dsu[i]);
dsu[i] = ans.first;
depth[i] ^= ans.second;
return {dsu[i], depth[i]};
};
auto join = [&](int a, int b) {
auto ap = find_p(a);
auto bp = find_p(b);
dsu[bp.first] = ap.first;
depth[bp.first] = (1 ^ bp.second ^ ap.second);
};
int shift = 0;
function<void(int, int)> func[] = {
[&](int a, int b) {
join(a, b);
},
[&](int a, int b) {
find_p(a);
find_p(b);
int ca = depth[a];
int cb = depth[b];
if (ca == cb) {
cout << "YES\n";
shift++;
return;
}
cout << "NO\n";
}
};
while (m--) {
int op, a, b;
cin >> op >> a >> b;
a = (a + shift) % n;
b = (b + shift) % n;
func[op](a, b);
}
}