Add a bunch of other problems.

Some are not finished...
This commit is contained in:
2025-09-12 14:50:25 -03:00
parent 88e542c982
commit 489cb2ba51
385 changed files with 49442 additions and 0 deletions

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/* Problem URL: https://codeforces.com/contest/920/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 t;
cin >> t;
while (t--) {
int n, k;
cin >> n >> k;
int oo = INT32_MAX >> 1;
vi fds(n, oo);
while (k--) {
int now;
cin >> now;
now--;
fds[now] = 1;
nrep(i, 1, n) {
if (now - i >= 0) {
rmin(fds[now - i], i + 1);
}
if (now + i < n) {
rmin(fds[now + i], i + 1);
}
}
}
cout << *max_element(all(fds)) << '\n';
}
}

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/* Problem URL: https://codeforces.com/contest/920/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 t;
cin >> t;
while (t--) {
int n;
cin >> n;
int now = 1;
vi ans(n);
rep(i, n) {
int l, r;
cin >> l >> r;
if (now > r) {
continue;
}
if (now <= l) {
ans[i] = l;
now = l + 1;
continue;
}
if (now <= r) {
ans[i] = now;
now++;
}
}
cout << ans;
}
}

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/* Problem URL: https://codeforces.com/contest/920/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;
cin >> n;
vl fds(n);
string a;
cin >> fds >> a;
vvi count(1);
count[0].push_back(fds[0]);
nrep(i, 1, n) {
if (a[i - 1] == '0') {
count.emplace_back();
}
count.back().push_back(fds[i]);
}
vi ans(n);
int now = 0;
repv(j, count) {
sortv(j);
repv(k, j) {
ans[now] = k;
now++;
}
}
bool valid = true;
nrep(i, 1, n) {
if (ans[i] < ans[i - 1]) {
valid = false;
break;
}
}
cout << (valid ? "YES\n" : "NO\n");
}

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/* Problem URL: https://codeforces.com/contest/920/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, k;
ll v;
cin >> n >> k >> v;
vl a(n);
cin >> a;
if (v == 0) {
cout << "YES\n";
cout << (ll)1e9 << ' ' << 1 << ' ' << 2 << '\n';
return 0;
}
if (accumulate(all(a), 0LL) < v) {
cout << "NO\n";
return 0;
}
auto printans = [&](V<tuple<ll, int, int>> &ans) {
for (auto [c, i, j] : ans) {
if (c == 0) {
continue;
}
cout << c << ' ' << i << ' ' << j << '\n';
}
};
ll mod = v % k;
vi ans;
if (mod == 0) {
cout << "YES\n";
V<tuple<ll, int, int>> lol;
int choice = 0;
int other = 1;
nrep(i, 1, n) {
lol.emplace_back(1e9, i + 1, choice + 1);
}
lol.emplace_back(v / k, choice + 1, other + 1);
printans(lol);
return 0;
}
ll oo = INT64_MAX >> 1;
V<V<bool>> dp(n + 1, V<bool>(k));
nrep(i, 1, n + 1) {
dp[i][a[i - 1] % k] = true;
rep(j, k) {
dp[i][j] = dp[i][j] || dp[i - 1][j] || dp[i - 1][((j - a[i - 1]) % k + k) % k];
}
}
auto getans1 = [&](ll mod) {
if (!dp[n][mod]) {
return false;
}
int ind = n - 1;
int act = mod;
while (ind >= 0) {
while (dp[ind][act]) {
ind--;
}
if (!dp[ind + 1][act]) {
break;
}
ans.push_back(ind);
act = ((act - a[ind]) % k + k) % k;
ind--;
}
return !ans.empty();
};
if (!getans1(mod)) {
cout << "NO\n";
return 0;
}
if (ans.empty()) {
cout << "NO\n";
return 0;
}
//
// if (ans.size() == 1) {
// ll total = a[ans[0]];
// V<tuple<ll, int, int>> lol;
//
// ll other = ans[0] == 0 ? 1 : 0;
//
// rep(i, n) {
// if (i == ans[0]) {
// continue;
// }
//
// lol.emplace_back(a[i] / k, i + 1, ans[0] + 1);
// total += (a[i] / k) * k;
// }
//
// if (total < v) {
// cout << "NO\n";
// return 0;
// }
//
// cout << "YES\n";
// ll diff = total - v;
// lol.emplace_back(diff / k, ans[0] == 0 ? 2 : 1, ans[0] + 1);
// printans(lol);
//
// return 0;
// }
//
V<tuple<ll, int, int>> lol;
set<int> ignore;
ignore.insert(ans[0]);
nrep(i, 1, ans.size()) {
a[ans[0]] += a[ans[i]];
a[ans[i]] = 0;
lol.emplace_back(1e9, ans[i] + 1, ans[0] + 1);
ignore.insert(ans[i]);
}
int other = ans[0] == 0 ? 1 : 0;
ignore.insert(other);
rep(i, n) {
if (ignore.count(i)) {
continue;
}
lol.emplace_back(1e9, i + 1, other + 1);
a[other] += a[i];
a[i] = 0;
}
lol.emplace_back(a[other] / k, other + 1, ans[0] + 1);
a[ans[0]] += a[other] / k * k;
if (a[ans[0]] < v) {
cout << "NO\n";
return 0;
}
ll diff = a[ans[0]] - v;
cout << "YES\n";
lol.emplace_back(diff / k, ans[0] + 1, ans[0] == 0 ? 2 : 1);
printans(lol);
}

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/* Problem URL: https://codeforces.com/contest/920/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);
ll n, m;
cin >> n >> m;
V<set<int>> notgraph(n);
while (m--) {
int a, b;
cin >> a >> b;
a--, b--;
notgraph[a].insert(b);
notgraph[b].insert(a);
}
set<int> v;
rep(i, n) {
v.insert(i);
}
vi ans;
function<int(int)> dfs = [&](int i) {
int ans = 1;
v.erase(i);
auto itr = v.begin();
while (itr != v.end()) {
if (notgraph[i].count(*itr)) {
itr = v.upper_bound(*itr);
continue;
}
int now = *itr;
ans += dfs(*itr);
itr = v.upper_bound(now);
}
return ans;
};
while (!v.empty()) {
ans.push_back(dfs(*v.begin()));
}
sortv(ans);
cout << ans.size() << '\n';
cout << ans;
}

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/* Problem URL: https://codeforces.com/contest/920/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);
vi div(1e6 + 1, 1);
nrep(i, 2, 1e6 + 1) {
if (div[i] > 1) {
continue;
}
for (int j = i; j <= 1e6; j += i) {
div[j] = i;
}
}
vi f(1e6 + 1);
f[1] = 1;
f[2] = 2;
nrep(i, 3, 1e6 + 1) {
int now = 1;
int tmp = i;
while (tmp > 1) {
int count = 1;
int prime = div[tmp];
while (tmp % prime == 0) {
tmp /= prime;
count++;
}
now *= count;
}
f[i] = now;
}
int n, m;
cin >> n >> m;
vi fds(n);
cin >> fds;
while (__builtin_popcount(n) != 1) {
n++;
fds.push_back(1);
}
V<pair<int, ll>> seg(n * 2);
nrep(i, n, n * 2) {
seg[i] = {fds[i - n], fds[i - n]};
}
for (int i = n - 1; i > 0; i--) {
seg[i] = {max(seg[i * 2].first, seg[i * 2 + 1].first), seg[i * 2].second + seg[i * 2 + 1].second};
}
function<void(int, int, int ,int, int)> update = [&](int i, int l, int r, int tl, int tr) {
if (l > tr || r < tl || seg[i].first <= 2) {
return;
}
if (l == r) {
seg[i] = {f[seg[i].first], f[seg[i].first]};
return;
}
int mid = (l + r) >> 1;
update(i * 2, l, mid, tl, tr);
update(i * 2 + 1, mid + 1, r, tl, tr);
seg[i] = {max(seg[i * 2].first, seg[i * 2 + 1].first), seg[i * 2].second + seg[i * 2 + 1].second};
};
function<ll(int, int, int, int, int)> query = [&](int i, int l, int r, int tl, int tr) {
if (l > tr || r < tl) {
return 0LL;
}
if (l >= tl && r <= tr) {
return seg[i].second;
}
int mid = (l + r) >> 1;
return query(i * 2, l, mid, tl, tr) + query(i * 2 + 1, mid + 1, r, tl, tr);
};
while (m--) {
int t, l, r;
cin >> t >> l >> r;
l--, r--;
if (t == 1) {
update(1, 0, n - 1, l, r);
continue;
}
cout << query(1, 0, n - 1, l, r) << '\n';
}
}

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/* Problem URL: https://codeforces.com/contest/920/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);
vi div(1e6 + 1, 1);
nrep(i, 2, 1e6 + 1) {
if (div[i] > 1) {
continue;
}
for (int j = i; j <= 1e6; j += i) {
div[j] = i;
}
}
int t;
cin >> t;
while (t--) {
int x, p, k;
cin >> x >> p >> k;
vi primes;
auto getprimes = [&]() {
int tmp = p;
while (tmp > 1) {
primes.push_back(div[tmp]);
int prime = div[tmp];
while (tmp % prime == 0) {
tmp /= prime;
}
}
};
getprimes();
auto getmuls = [&](ll now) {
ll ans = 0;
nrep(i, 1, 1 << primes.size()) {
ll tmp = 1;
rep(j, primes.size()) {
if ((i >> j) & 1) {
tmp *= primes[j];
}
}
if (__builtin_popcount(i) & 1) {
ans += now / tmp;
} else {
ans -= now / tmp;
}
}
return ans;
};
ll inv = getmuls(x);
ll low = x + 1;
ll high = 1e18;
ll ans = 0;
while (low <= high) {
ll mid = ((high - low) >> 1) + low;
ll act = getmuls(mid) - inv;
if (mid - x - act >= k) {
ans = mid;
high = mid - 1;
continue;
}
low = mid + 1;
}
while (__gcd(ans, (ll)p) != 1) {
ans++;
}
cout << ans << '\n';
}
}