Add more problems

This commit is contained in:
2026-03-17 15:18:42 -03:00
parent 38756e1068
commit e6b65a9d55
10 changed files with 1259 additions and 100 deletions

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@@ -1,103 +1,3 @@
p pref[i - a]
break 94
run
next
p anms
p ans
next
p i - a
p pref[i - a]
p i
next
p ansd
p ans
next
p var
break 127
ru
p log
next
p log
p l
p r
p r - (1 << log)
sparse
p sparse
break 128
run
p sparse
continue
run
p sparse[l][log]
p l
p r
break 128
run
break 154
run
p seg[0 + fds.size()]
p segl[0 + fds.size()]
p segl[1 + fds.size()]
p segl[1 + fds.size()]
p segl[2 + fds.size()]
p segl[3 + fds.size()]
p segl[4 + fds.size()]
p segl[5 + fds.size()]
next
p i
p fds[i]
p sparsequery(i, i)
p ans
p i
next
p segr[8 + fds.size()]
p segr[7 + fds.size()]
p segr[8 + fds.size()]
p segr[9 + fds.size()]
break 178
ru
p segr
p segr[5 + fds.size()]
break 138
run
nextr
next
pi
p i
p i
p i
continue
necxt
nexty
next
continue
next
continue
next
next
p seg[6 + fds.size()]
break 139
run
continue
next
p ans
break 126
run
p count
p n
break 109
run
next
p ans
p count
break 90
run
next
p sum
next
p i
next
break 110
run run
p sum p sum
p count p count
@@ -254,3 +154,103 @@ p bit
next next
break 156 break 156
run run
break 97
run
p a
next
p
p n
next
p cur
break 97
run
next
p i
p cur
next
p cur
next
p cur
p ans
break 98
ru
next
p cur
p ans
p a[j]
p a
p n / 17
next
p cur
p n / (a[0] * a[1])
next
p cur
next
next
p ans
next
break 100
run
continue
next
p cur
p i
p n / a[2]
next
p cur
p n / (a[0] * a[2])
next
p cur
p i
n / (a[1] * a[2])
p n / (a[1] * a[2])
next
p ans
next
p cur
p i
p n / (a[0] * a[1] * a[2])
next
p cur
next
p n / a[3]
next
p cur
p i
p n / (a[0] * a[3])
p ans
next
p ans
next
p cur
p n / (a[1] * a[3])
next
p cur
next
p cur
p i
p n / (a[2] * a[3])
next
p cur
next
p cur
next
pc ur
next
p ans
break 101
run
next
continue
next
p cur
p cur2
p n / cur2
p cur
next
p cur
p cur2
p ans + cur
p ans2 + n / cur2
p n / cur2
p cur

2
.gitignore vendored
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@@ -37,3 +37,5 @@
# Ignore gdb # Ignore gdb
.gdb_history .gdb_history
.stfolder

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@@ -0,0 +1,192 @@
/* Problem URL: https://cses.fi/problemset/task/2195 */
#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;
}
const int oo = INT32_MAX >> 1;
const ll OO = INT64_MAX >> 1;
struct pt {
ll x, y;
pt() = default;
pt(ll x, ll y): x(x), y(y) {}
pt(const pt &a): x(a.x), y(a.y) {}
friend istream &operator >> (istream &is, pt &a) {
is >> a.x >> a.y;
return is;
}
friend ostream &operator << (ostream &os, pt a) {
os << a.x << ' ' << a.y << '\n';
return os;
}
ll operator ^ (pt b) {
return x * b.y - y * b.x;
}
pt operator - (pt b) {
return pt(x - b.x, y - b.y);
}
bool operator < (pt b) {
if (x == b.x) {
return y < b.y;
}
return x < b.x;
}
};
ll sarea2(pt a, pt b, pt c) {
return (b - a) ^ (c - b);
}
int ccw(pt a, pt b, pt c)
{
ll ar = sarea2(a, b, c);
return (ar > 0) - (ar < 0);
}
V<pt> convex_hull(V<pt> v)
{
sortv(v);
if (v.size() <= 2) {
return v;
}
int n = v.size();
V<pt> ac;
V<pt> tmp;
rep(i, n) {
while (ac.size() >= 2 && ccw(ac.end()[-2], ac.end()[-1], v[i]) > 0) {
ac.pop_back();
}
ac.emplace_back(v[i]);
}
for (int i = n - 1; i >= 0; i--) {
while (tmp.size() >= 2 && ccw(tmp.end()[-2], tmp.end()[-1], v[i]) > 0) {
tmp.pop_back();
}
tmp.emplace_back(v[i]);
}
ac.pop_back();
tmp.pop_back();
repv(i, tmp) {
ac.emplace_back(i);
}
return ac;
}
void pre()
{
}
#define TEST 0
void solve()
{
int n;
cin >> n;
V<pt> a(n);
cin >> a;
auto conv = convex_hull(a);
cout << conv.size() << '\n';
repv(i, conv) {
cout << i.x << ' ' << i.y << '\n';
}
}
int main()
{
ios::sync_with_stdio(false);
cin.tie(nullptr);
pre();
int t;
(TEST && cin >> t) || (t = 1);
while (t--) {
solve();
}
}

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@@ -0,0 +1,151 @@
/* Problem URL: https://cses.fi/problemset/task/1722 */
#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;
}
const int oo = INT32_MAX >> 1;
const ll OO = INT64_MAX >> 1;
void pre()
{
}
#define TEST 0
void solve()
{
ll n;
cin >> n;
if (n == 0) {
cout << "0\n";
return;
}
const ll mod = 1e9 + 7;
auto mul = [&](vvl &a, vvl &b) {
vvl c(a.size(), vl(b[0].size()));
rep(i, c.size()) {
rep(j, c[i].size()) {
rep(k, b.size()) {
c[i][j] = (c[i][j] + a[i][k] * b[k][j] % mod) % mod;
}
}
}
return c;
};
auto fpow = [&](ll p) {
vvl ans = {
{0},
{1}
};
vvl po = {
{0, 1},
{1, 1}
};
rep(i, 61) {
if ((p >> i) & 1) {
ans = mul(po, ans);
}
po = mul(po, po);
}
return ans;
};
cout << fpow(n - 1)[1] << '\n';
}
int main()
{
ios::sync_with_stdio(false);
cin.tie(nullptr);
pre();
int t;
(TEST && cin >> t) || (t = 1);
while (t--) {
solve();
}
}

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@@ -0,0 +1,152 @@
/* Problem URL: https://cses.fi/problemset/task/1723 */
#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;
}
const int oo = INT32_MAX >> 1;
const ll OO = INT64_MAX >> 1;
void pre()
{
}
#define TEST 0
void solve()
{
int n, m, k;
cin >> n >> m >> k;
vvl adj(n, vl(n));
while (m--) {
int a, b;
cin >> a >> b;
adj[a - 1][b - 1]++;
}
ll mod = 1e9 + 7;
auto mul = [&](vvl &a, vvl &b) {
vvl c(a.size(), vl(b[0].size()));
rep(i, c.size()) {
rep(j, c[0].size()) {
rep(k, b.size()) {
c[i][j] += a[i][k] * b[k][j];
c[i][j] %= mod;
}
}
}
return c;
};
auto fpow = [&]() {
vvl ans(n, vl(n));
rep(i, n) {
ans[i][i] = 1;
}
rep(i, 30) {
if ((k >> i) & 1) {
ans = mul(ans, adj);
}
adj = mul(adj, adj);
}
return ans;
};
auto ans = fpow();
cout << ans[0][n - 1] << '\n';
}
int main()
{
ios::sync_with_stdio(false);
cin.tie(nullptr);
pre();
int t;
(TEST && cin >> t) || (t = 1);
while (t--) {
solve();
}
}

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@@ -0,0 +1,149 @@
/* Problem URL: https://cses.fi/problemset/task/1724 */
#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;
}
const int oo = INT32_MAX >> 1;
const ll OO = INT64_MAX >> 1;
void pre()
{
}
#define TEST 0
void solve()
{
int n, m, k;
cin >> n >> m >> k;
vvl adj(n, vl(n, OO));
while (m--) {
int a, b, c;
cin >> a >> b >> c;
a--, b--;
rmin(adj[a][b], (ll)c);
}
auto mul = [&](vvl &a, vvl &b) {
vvl c(a.size(), vl(b[0].size(), OO));
rep(i, c.size()) {
rep(j, c[0].size()) {
rep(k, b.size()) {
rmin(c[i][j], a[i][k] + b[k][j]);
}
}
}
return c;
};
auto fpow = [&]() {
vvl ans(n, vl(n, OO));
rep(i, n) {
ans[i][i] = 0;
}
rep(i, 30) {
if ((k >> i) & 1) {
ans = mul(ans, adj);
}
adj = mul(adj, adj);
}
return ans;
};
ll ans = fpow()[0][n - 1];
cout << (ans == OO ? -1 : ans) << '\n';
}
int main()
{
ios::sync_with_stdio(false);
cin.tie(nullptr);
pre();
int t;
(TEST && cin >> t) || (t = 1);
while (t--) {
solve();
}
}

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@@ -0,0 +1,133 @@
/* Problem URL: https://cses.fi/problemset/task/3396 */
#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;
}
const int oo = INT32_MAX >> 1;
const ll OO = INT64_MAX >> 1;
void pre()
{
}
#define TEST 1
void solve()
{
ll n;
cin >> n;
n++;
if (n == 2) {
cout << "2\n";
return;
}
if (~n & 1) {
n++;
}
auto isprime = [&]() {
for (ll i = 2; i * i <= n; i++) {
if (n % i == 0) {
return false;
}
}
return true;
};
while (!isprime()) {
n += 2;
}
cout << n << '\n';
}
int main()
{
ios::sync_with_stdio(false);
cin.tie(nullptr);
pre();
int t;
(TEST && cin >> t) || (t = 1);
while (t--) {
solve();
}
}

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@@ -0,0 +1,126 @@
/* Problem URL: https://cses.fi/problemset/task/2189 */
#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;
}
const int oo = INT32_MAX >> 1;
const ll OO = INT64_MAX >> 1;
void pre()
{
}
#define TEST 1
void solve()
{
ll x1, y1, x2, y2, x3, y3;
cin >> x1 >> y1 >> x2 >> y2 >> x3 >> y3;
x3 -= x2;
y3 -= y2;
x2 -= x1;
y2 -= y1;
ll ar = x2 * y3 - y2 * x3;
if (ar > 0) {
cout << "LEFT\n";
return;
}
if (ar < 0) {
cout << "RIGHT\n";
return;
}
cout << "TOUCH\n";
}
int main()
{
ios::sync_with_stdio(false);
cin.tie(nullptr);
pre();
int t;
(TEST && cin >> t) || (t = 1);
while (t--) {
solve();
}
}

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/* Problem URL: https://cses.fi/problemset/task/2191 */
#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;
}
const int oo = INT32_MAX >> 1;
const ll OO = INT64_MAX >> 1;
void pre()
{
}
#define TEST 0
void solve()
{
int n;
cin >> n;
V<pair<ll, ll>> a(n);
repv(i, a) {
cin >> i.first >> i.second;
}
ll ar = 0;
rep(i, n) {
auto [x1, y1] = a[i];
auto [x2, y2] = a[(i + 1) % n];
ar += x1 * y2 - y1 * x2;
}
cout << abs(ar) << '\n';
}
int main()
{
ios::sync_with_stdio(false);
cin.tie(nullptr);
pre();
int t;
(TEST && cin >> t) || (t = 1);
while (t--) {
solve();
}
}

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/* Problem URL: https://cses.fi/problemset/task/2185 */
#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;
}
const int oo = INT32_MAX >> 1;
const ll OO = INT64_MAX >> 1;
void pre()
{
}
#define TEST 0
void solve()
{
ll n;
int k;
cin >> n >> k;
vl a(k);
cin >> a;
__int128 ans = 0;
nrep(i, 1, 1 << k) {
long double cur = n;
ll cur2 = 1;
rep(j, k) {
if ((i >> j) & 1) {
cur /= a[j];
cur2 *= a[j];
}
}
if (~__builtin_popcount(i) & 1) {
cur = -cur;
cur2 = -cur2;
}
ans += (ll)cur;
}
cout << (ll)ans << '\n';
}
int main()
{
ios::sync_with_stdio(false);
cin.tie(nullptr);
pre();
int t;
(TEST && cin >> t) || (t = 1);
while (t--) {
solve();
}
}