Solved 5 problem in the last Div.4

16 files changed, 865 insertions, 0 deletions

diff --git a/contests/Round897/A/main.cpp b/contests/Round897/A/main.cpp
new file mode 100755
index 0000000..7f5ebac
--- /dev/null
+++ b/contests/Round897/A/main.cpp
@@ -0,0 +1,146 @@
+#include <bits/stdc++.h>
+#include <numeric>
+using namespace std;
+
+using ll = long long;
+using pii = pair<int, int>;
+using vpi = vector<pii>;
+using vi = vector<int>;
+using vll = vector<long long>;
+using mpii = map<int, int>;
+using mpll = map<ll, ll>;
+using db = long double;
+
+#define pb push_back
+#define all(x) (x).begin(), (x).end()
+#define rall(x) (x).rbegin(), (x).rend()
+#define lb lower_bound
+#define ub upper_bound
+#define make_unique(x)                                                         \
+  sort(all((x)));                                                              \
+  (x).resize(unique(all((x))) - (x).begin())
+#define ceil(a, b) ((a) + (b)-1) / (b)
+
+const int MOD = (int)1e9 + 7;
+const db PI = acos((db)-1);
+const int dx[4]{1, 0, -1, 0};
+const int dy[4]{0, 1, 0, -1};
+
+template <typename K, typename V>
+ostream &operator<<(ostream &os, const pair<K, V> &p);
+template <typename T> ostream &operator<<(ostream &os, const vector<T> &vec);
+template <typename K, typename V>
+ostream &operator<<(ostream &os, const map<K, V> &m);
+template <typename K, typename V>
+ostream &operator<<(ostream &os, const unordered_map<K, V> &m);
+template <typename T> ostream &operator<<(ostream &os, const set<T> &s);
+template <typename T>
+ostream &operator<<(ostream &os, const unordered_set<T> &s);
+
+template <typename K, typename V>
+ostream &operator<<(ostream &os, const pair<K, V> &p) {
+  os << "(" << p.first << ", " << p.second << ")";
+  return os;
+}
+
+template <typename T> ostream &operator<<(ostream &os, const vector<T> &vec) {
+  os << "{";
+  for (size_t i = 0; i < vec.size(); ++i) {
+    if (i > 0)
+      os << ", ";
+    os << vec[i];
+  }
+  os << "}";
+  return os;
+}
+
+template <typename K, typename V>
+ostream &operator<<(ostream &os, const map<K, V> &m) {
+  os << "{";
+  for (const auto &p : m) {
+    os << p.first << ": " << p.second << ", ";
+  }
+  os << "}";
+  return os;
+}
+
+template <typename K, typename V>
+ostream &operator<<(ostream &os, const unordered_map<K, V> &m) {
+  os << "{";
+  for (const auto &p : m) {
+    os << p.first << ": " << p.second << ", ";
+  }
+  os << "}";
+  return os;
+}
+
+template <typename T> ostream &operator<<(ostream &os, const set<T> &s) {
+  int i = 0;
+  os << "{";
+  for (const auto &e : s) {
+    if (i > 0)
+      os << ", ";
+    os << e;
+    i++;
+  }
+  os << "}";
+  return os;
+}
+
+template <typename T>
+ostream &operator<<(ostream &os, const unordered_set<T> &s) {
+  int i = 0;
+  os << "{";
+  for (const auto &e : s) {
+    if (i > 0)
+      os << ", ";
+    os << e;
+    i++;
+  }
+  os << "}";
+  return os;
+}
+
+void dbg() { cerr << "\n"; }
+
+template <typename T, typename... TS> void dbg(T val, TS... vals) {
+  cerr << val << " ";
+  dbg(vals...);
+}
+
+/* stuff you should look for:
+  ---------------------------
+   * special cases (n=1?)
+   * int overflow, array bounds
+   * do smth instead of nothing and stay organized
+   * WRITE STUFF DOWN
+   * DON'T GET STUCK ON ONE APPROACH
+ */
+
+void solve() {
+  int n;
+  cin >> n;
+  vector<pii> v(n);
+  vi b(n);
+  for (int i = 0; i < n; i++) {
+    cin >> v[i].first;
+    v[i].second = i;
+  }
+  sort(rall(v));
+  for (int i = 0; i < n; i++) {
+    b[v[i].second] = i + 1;
+  }
+  for (int i = 0; i < n; i++) {
+    cout << b[i] << " \n"[i == n - 1];
+  }
+}
+
+int main() {
+  ios_base::sync_with_stdio(false);
+  cin.tie(NULL);
+  int tt;
+  cin >> tt;
+  while (tt--) {
+    solve();
+  }
+}
diff --git a/contests/Round897/A/main_input0.txt b/contests/Round897/A/main_input0.txt
new file mode 100644
index 0000000..5ffc211
--- /dev/null
+++ b/contests/Round897/A/main_input0.txt
@@ -0,0 +1,7 @@
+3
+1
+100000
+2
+1 1
+3
+10 3 3
diff --git a/contests/Round897/A/main_input1.txt b/contests/Round897/A/main_input1.txt
new file mode 100644
index 0000000..e598f55
--- /dev/null
+++ b/contests/Round897/A/main_input1.txt
@@ -0,0 +1,3 @@
+1
+5
+8 7 6 5 3
\ No newline at end of file
diff --git a/contests/Round897/A/main_input2.txt b/contests/Round897/A/main_input2.txt
new file mode 100644
index 0000000..05d1ebb
--- /dev/null
+++ b/contests/Round897/A/main_input2.txt
@@ -0,0 +1,3 @@
+1
+5
+9 5 3 7 4
\ No newline at end of file
diff --git a/contests/Round897/A/main_output0.txt b/contests/Round897/A/main_output0.txt
new file mode 100644
index 0000000..bd92684
--- /dev/null
+++ b/contests/Round897/A/main_output0.txt
@@ -0,0 +1,3 @@
+1
+2 1
+1 3 2
diff --git a/contests/Round897/A/main_output1.txt b/contests/Round897/A/main_output1.txt
new file mode 100644
index 0000000..3cacc0b
--- /dev/null
+++ b/contests/Round897/A/main_output1.txt
@@ -0,0 +1 @@
+12
\ No newline at end of file
diff --git a/contests/Round897/A/main_output2.txt b/contests/Round897/A/main_output2.txt
new file mode 100644
index 0000000..a5b4030
--- /dev/null
+++ b/contests/Round897/A/main_output2.txt
@@ -0,0 +1 @@
+1 3 5 2 4
\ No newline at end of file
diff --git a/contests/Round897/B/main.cpp b/contests/Round897/B/main.cpp
new file mode 100755
index 0000000..ad96ddc
--- /dev/null
+++ b/contests/Round897/B/main.cpp
@@ -0,0 +1,165 @@
+#include <bits/stdc++.h>
+#include <climits>
+using namespace std;
+
+using ll = long long;
+using pii = pair<int, int>;
+using vpi = vector<pii>;
+using vi = vector<int>;
+using vll = vector<long long>;
+using mpii = map<int, int>;
+using mpll = map<ll, ll>;
+using db = long double;
+
+#define pb push_back
+#define all(x) (x).begin(), (x).end()
+#define rall(x) (x).rbegin(), (x).rend()
+#define lb lower_bound
+#define ub upper_bound
+#define make_unique(x)                                                         \
+  sort(all((x)));                                                              \
+  (x).resize(unique(all((x))) - (x).begin())
+#define ceil(a, b) ((a) + (b)-1) / (b)
+
+const int MOD = (int)1e9 + 7;
+const db PI = acos((db)-1);
+const int dx[4]{1, 0, -1, 0};
+const int dy[4]{0, 1, 0, -1};
+
+template <typename K, typename V>
+ostream &operator<<(ostream &os, const pair<K, V> &p);
+template <typename T> ostream &operator<<(ostream &os, const vector<T> &vec);
+template <typename K, typename V>
+ostream &operator<<(ostream &os, const map<K, V> &m);
+template <typename K, typename V>
+ostream &operator<<(ostream &os, const unordered_map<K, V> &m);
+template <typename T> ostream &operator<<(ostream &os, const set<T> &s);
+template <typename T>
+ostream &operator<<(ostream &os, const unordered_set<T> &s);
+
+template <typename K, typename V>
+ostream &operator<<(ostream &os, const pair<K, V> &p) {
+  os << "(" << p.first << ", " << p.second << ")";
+  return os;
+}
+
+template <typename T> ostream &operator<<(ostream &os, const vector<T> &vec) {
+  os << "{";
+  for (size_t i = 0; i < vec.size(); ++i) {
+    if (i > 0)
+      os << ", ";
+    os << vec[i];
+  }
+  os << "}";
+  return os;
+}
+
+template <typename K, typename V>
+ostream &operator<<(ostream &os, const map<K, V> &m) {
+  os << "{";
+  for (const auto &p : m) {
+    os << p.first << ": " << p.second << ", ";
+  }
+  os << "}";
+  return os;
+}
+
+template <typename K, typename V>
+ostream &operator<<(ostream &os, const unordered_map<K, V> &m) {
+  os << "{";
+  for (const auto &p : m) {
+    os << p.first << ": " << p.second << ", ";
+  }
+  os << "}";
+  return os;
+}
+
+template <typename T> ostream &operator<<(ostream &os, const set<T> &s) {
+  int i = 0;
+  os << "{";
+  for (const auto &e : s) {
+    if (i > 0)
+      os << ", ";
+    os << e;
+    i++;
+  }
+  os << "}";
+  return os;
+}
+
+template <typename T>
+ostream &operator<<(ostream &os, const unordered_set<T> &s) {
+  int i = 0;
+  os << "{";
+  for (const auto &e : s) {
+    if (i > 0)
+      os << ", ";
+    os << e;
+    i++;
+  }
+  os << "}";
+  return os;
+}
+
+void dbg() { cerr << "\n"; }
+
+template <typename T, typename... TS> void dbg(T val, TS... vals) {
+  cerr << val << " ";
+  dbg(vals...);
+}
+
+/* stuff you should look for:
+  ---------------------------
+   * special cases (n=1?)
+   * int overflow, array bounds
+   * do smth instead of nothing and stay organized
+   * WRITE STUFF DOWN
+   * DON'T GET STUCK ON ONE APPROACH
+ */
+
+// ones = 2
+// zrs = 4
+// 2 -> (0, 6)
+// 3 -> (3, 3)
+// 3 -> (3, 3)
+// ones = 1
+// zrs = 1
+
+void solve() {
+  int n;
+  cin >> n;
+  string s;
+  cin >> s;
+  int mn = 0, mx = n % 2;
+  for (int i = 0; i < n / 2; i++) {
+    if (s[i] == s[n - 1 - i]) {
+      mn += 0;
+      mx += 2;
+    } else {
+      mn += 1;
+      mx += 1;
+    }
+  }
+  dbg(mn, mx);
+  string ans = string(n + 1, '0');
+  if (n % 2 == 0) {
+    for (int i = mn; i <= mx; i += 2) {
+      ans[i] = '1';
+    }
+  } else {
+    for (int i = mn; i <= mx; i++) {
+      ans[i] = '1';
+    }
+  }
+  cout << ans << '\n';
+}
+
+int main() {
+  ios_base::sync_with_stdio(false);
+  cin.tie(NULL);
+  int tt;
+  cin >> tt;
+  while (tt--) {
+    solve();
+  }
+}
diff --git a/contests/Round897/B/main_input0.txt b/contests/Round897/B/main_input0.txt
new file mode 100644
index 0000000..10a3274
--- /dev/null
+++ b/contests/Round897/B/main_input0.txt
@@ -0,0 +1,11 @@
+5
+6
+101011
+5
+00000
+9
+100100011
+3
+100
+1
+1
diff --git a/contests/Round897/B/main_input1.txt b/contests/Round897/B/main_input1.txt
new file mode 100644
index 0000000..c64122e
--- /dev/null
+++ b/contests/Round897/B/main_input1.txt
@@ -0,0 +1,3 @@
+1
+2
+10
\ No newline at end of file
diff --git a/contests/Round897/B/main_output0.txt b/contests/Round897/B/main_output0.txt
new file mode 100644
index 0000000..ad36f78
--- /dev/null
+++ b/contests/Round897/B/main_output0.txt
@@ -0,0 +1,5 @@
+0010100
+111111
+0011111100
+0110
+11
diff --git a/contests/Round897/B/main_output1.txt b/contests/Round897/B/main_output1.txt
new file mode 100644
index 0000000..fd594a5
--- /dev/null
+++ b/contests/Round897/B/main_output1.txt
@@ -0,0 +1 @@
+000
\ No newline at end of file
diff --git a/contests/Round897/C/main.cpp b/contests/Round897/C/main.cpp
new file mode 100755
index 0000000..82c5879
--- /dev/null
+++ b/contests/Round897/C/main.cpp
@@ -0,0 +1,129 @@
+#include <bits/stdc++.h>
+using namespace std;
+
+using ll = long long;
+using pii = pair<int, int>;
+using vpi = vector<pii>;
+using vi = vector<int>;
+using vll = vector<long long>;
+using mpii = map<int, int>;
+using mpll = map<ll, ll>;
+using db = long double;
+
+#define pb push_back
+#define all(x) (x).begin(), (x).end()
+#define rall(x) (x).rbegin(), (x).rend()
+#define lb lower_bound
+#define ub upper_bound
+#define make_unique(x)                                                         \
+  sort(all((x)));                                                              \
+  (x).resize(unique(all((x))) - (x).begin())
+#define ceil(a, b) ((a) + (b)-1) / (b)
+
+const int MOD = (int)1e9 + 7;
+const db PI = acos((db)-1);
+const int dx[4]{1, 0, -1, 0};
+const int dy[4]{0, 1, 0, -1};
+
+template <typename K, typename V>
+ostream &operator<<(ostream &os, const pair<K, V> &p);
+template <typename T> ostream &operator<<(ostream &os, const vector<T> &vec);
+template <typename K, typename V>
+ostream &operator<<(ostream &os, const map<K, V> &m);
+template <typename K, typename V>
+ostream &operator<<(ostream &os, const unordered_map<K, V> &m);
+template <typename T> ostream &operator<<(ostream &os, const set<T> &s);
+template <typename T>
+ostream &operator<<(ostream &os, const unordered_set<T> &s);
+
+template <typename K, typename V>
+ostream &operator<<(ostream &os, const pair<K, V> &p) {
+  os << "(" << p.first << ", " << p.second << ")";
+  return os;
+}
+
+template <typename T> ostream &operator<<(ostream &os, const vector<T> &vec) {
+  os << "{";
+  for (size_t i = 0; i < vec.size(); ++i) {
+    if (i > 0)
+      os << ", ";
+    os << vec[i];
+  }
+  os << "}";
+  return os;
+}
+
+template <typename K, typename V>
+ostream &operator<<(ostream &os, const map<K, V> &m) {
+  os << "{";
+  for (const auto &p : m) {
+    os << p.first << ": " << p.second << ", ";
+  }
+  os << "}";
+  return os;
+}
+
+template <typename K, typename V>
+ostream &operator<<(ostream &os, const unordered_map<K, V> &m) {
+  os << "{";
+  for (const auto &p : m) {
+    os << p.first << ": " << p.second << ", ";
+  }
+  os << "}";
+  return os;
+}
+
+template <typename T> ostream &operator<<(ostream &os, const set<T> &s) {
+  int i = 0;
+  os << "{";
+  for (const auto &e : s) {
+    if (i > 0)
+      os << ", ";
+    os << e;
+    i++;
+  }
+  os << "}";
+  return os;
+}
+
+template <typename T>
+ostream &operator<<(ostream &os, const unordered_set<T> &s) {
+  int i = 0;
+  os << "{";
+  for (const auto &e : s) {
+    if (i > 0)
+      os << ", ";
+    os << e;
+    i++;
+  }
+  os << "}";
+  return os;
+}
+
+void dbg() { cerr << "\n"; }
+
+template <typename T, typename... TS> void dbg(T val, TS... vals) {
+  cerr << val << " ";
+  dbg(vals...);
+}
+
+/* stuff you should look for:
+  ---------------------------
+   * special cases (n=1?)
+   * int overflow, array bounds
+   * do smth instead of nothing and stay organized
+   * WRITE STUFF DOWN
+   * DON'T GET STUCK ON ONE APPROACH
+ */
+
+void solve() { <()> }
+
+int main() {
+  ios_base::sync_with_stdio(false);
+  cin.tie(NULL);
+  int tt;
+  cin >> tt;
+  while (tt--) {
+    solve();
+  }
+}
diff --git a/contests/Round897/D/main.cpp b/contests/Round897/D/main.cpp
new file mode 100755
index 0000000..82c5879
--- /dev/null
+++ b/contests/Round897/D/main.cpp
@@ -0,0 +1,129 @@
+#include <bits/stdc++.h>
+using namespace std;
+
+using ll = long long;
+using pii = pair<int, int>;
+using vpi = vector<pii>;
+using vi = vector<int>;
+using vll = vector<long long>;
+using mpii = map<int, int>;
+using mpll = map<ll, ll>;
+using db = long double;
+
+#define pb push_back
+#define all(x) (x).begin(), (x).end()
+#define rall(x) (x).rbegin(), (x).rend()
+#define lb lower_bound
+#define ub upper_bound
+#define make_unique(x)                                                         \
+  sort(all((x)));                                                              \
+  (x).resize(unique(all((x))) - (x).begin())
+#define ceil(a, b) ((a) + (b)-1) / (b)
+
+const int MOD = (int)1e9 + 7;
+const db PI = acos((db)-1);
+const int dx[4]{1, 0, -1, 0};
+const int dy[4]{0, 1, 0, -1};
+
+template <typename K, typename V>
+ostream &operator<<(ostream &os, const pair<K, V> &p);
+template <typename T> ostream &operator<<(ostream &os, const vector<T> &vec);
+template <typename K, typename V>
+ostream &operator<<(ostream &os, const map<K, V> &m);
+template <typename K, typename V>
+ostream &operator<<(ostream &os, const unordered_map<K, V> &m);
+template <typename T> ostream &operator<<(ostream &os, const set<T> &s);
+template <typename T>
+ostream &operator<<(ostream &os, const unordered_set<T> &s);
+
+template <typename K, typename V>
+ostream &operator<<(ostream &os, const pair<K, V> &p) {
+  os << "(" << p.first << ", " << p.second << ")";
+  return os;
+}
+
+template <typename T> ostream &operator<<(ostream &os, const vector<T> &vec) {
+  os << "{";
+  for (size_t i = 0; i < vec.size(); ++i) {
+    if (i > 0)
+      os << ", ";
+    os << vec[i];
+  }
+  os << "}";
+  return os;
+}
+
+template <typename K, typename V>
+ostream &operator<<(ostream &os, const map<K, V> &m) {
+  os << "{";
+  for (const auto &p : m) {
+    os << p.first << ": " << p.second << ", ";
+  }
+  os << "}";
+  return os;
+}
+
+template <typename K, typename V>
+ostream &operator<<(ostream &os, const unordered_map<K, V> &m) {
+  os << "{";
+  for (const auto &p : m) {
+    os << p.first << ": " << p.second << ", ";
+  }
+  os << "}";
+  return os;
+}
+
+template <typename T> ostream &operator<<(ostream &os, const set<T> &s) {
+  int i = 0;
+  os << "{";
+  for (const auto &e : s) {
+    if (i > 0)
+      os << ", ";
+    os << e;
+    i++;
+  }
+  os << "}";
+  return os;
+}
+
+template <typename T>
+ostream &operator<<(ostream &os, const unordered_set<T> &s) {
+  int i = 0;
+  os << "{";
+  for (const auto &e : s) {
+    if (i > 0)
+      os << ", ";
+    os << e;
+    i++;
+  }
+  os << "}";
+  return os;
+}
+
+void dbg() { cerr << "\n"; }
+
+template <typename T, typename... TS> void dbg(T val, TS... vals) {
+  cerr << val << " ";
+  dbg(vals...);
+}
+
+/* stuff you should look for:
+  ---------------------------
+   * special cases (n=1?)
+   * int overflow, array bounds
+   * do smth instead of nothing and stay organized
+   * WRITE STUFF DOWN
+   * DON'T GET STUCK ON ONE APPROACH
+ */
+
+void solve() { <()> }
+
+int main() {
+  ios_base::sync_with_stdio(false);
+  cin.tie(NULL);
+  int tt;
+  cin >> tt;
+  while (tt--) {
+    solve();
+  }
+}
diff --git a/contests/Round897/E/main.cpp b/contests/Round897/E/main.cpp
new file mode 100755
index 0000000..82c5879
--- /dev/null
+++ b/contests/Round897/E/main.cpp
@@ -0,0 +1,129 @@
+#include <bits/stdc++.h>
+using namespace std;
+
+using ll = long long;
+using pii = pair<int, int>;
+using vpi = vector<pii>;
+using vi = vector<int>;
+using vll = vector<long long>;
+using mpii = map<int, int>;
+using mpll = map<ll, ll>;
+using db = long double;
+
+#define pb push_back
+#define all(x) (x).begin(), (x).end()
+#define rall(x) (x).rbegin(), (x).rend()
+#define lb lower_bound
+#define ub upper_bound
+#define make_unique(x)                                                         \
+  sort(all((x)));                                                              \
+  (x).resize(unique(all((x))) - (x).begin())
+#define ceil(a, b) ((a) + (b)-1) / (b)
+
+const int MOD = (int)1e9 + 7;
+const db PI = acos((db)-1);
+const int dx[4]{1, 0, -1, 0};
+const int dy[4]{0, 1, 0, -1};
+
+template <typename K, typename V>
+ostream &operator<<(ostream &os, const pair<K, V> &p);
+template <typename T> ostream &operator<<(ostream &os, const vector<T> &vec);
+template <typename K, typename V>
+ostream &operator<<(ostream &os, const map<K, V> &m);
+template <typename K, typename V>
+ostream &operator<<(ostream &os, const unordered_map<K, V> &m);
+template <typename T> ostream &operator<<(ostream &os, const set<T> &s);
+template <typename T>
+ostream &operator<<(ostream &os, const unordered_set<T> &s);
+
+template <typename K, typename V>
+ostream &operator<<(ostream &os, const pair<K, V> &p) {
+  os << "(" << p.first << ", " << p.second << ")";
+  return os;
+}
+
+template <typename T> ostream &operator<<(ostream &os, const vector<T> &vec) {
+  os << "{";
+  for (size_t i = 0; i < vec.size(); ++i) {
+    if (i > 0)
+      os << ", ";
+    os << vec[i];
+  }
+  os << "}";
+  return os;
+}
+
+template <typename K, typename V>
+ostream &operator<<(ostream &os, const map<K, V> &m) {
+  os << "{";
+  for (const auto &p : m) {
+    os << p.first << ": " << p.second << ", ";
+  }
+  os << "}";
+  return os;
+}
+
+template <typename K, typename V>
+ostream &operator<<(ostream &os, const unordered_map<K, V> &m) {
+  os << "{";
+  for (const auto &p : m) {
+    os << p.first << ": " << p.second << ", ";
+  }
+  os << "}";
+  return os;
+}
+
+template <typename T> ostream &operator<<(ostream &os, const set<T> &s) {
+  int i = 0;
+  os << "{";
+  for (const auto &e : s) {
+    if (i > 0)
+      os << ", ";
+    os << e;
+    i++;
+  }
+  os << "}";
+  return os;
+}
+
+template <typename T>
+ostream &operator<<(ostream &os, const unordered_set<T> &s) {
+  int i = 0;
+  os << "{";
+  for (const auto &e : s) {
+    if (i > 0)
+      os << ", ";
+    os << e;
+    i++;
+  }
+  os << "}";
+  return os;
+}
+
+void dbg() { cerr << "\n"; }
+
+template <typename T, typename... TS> void dbg(T val, TS... vals) {
+  cerr << val << " ";
+  dbg(vals...);
+}
+
+/* stuff you should look for:
+  ---------------------------
+   * special cases (n=1?)
+   * int overflow, array bounds
+   * do smth instead of nothing and stay organized
+   * WRITE STUFF DOWN
+   * DON'T GET STUCK ON ONE APPROACH
+ */
+
+void solve() { <()> }
+
+int main() {
+  ios_base::sync_with_stdio(false);
+  cin.tie(NULL);
+  int tt;
+  cin >> tt;
+  while (tt--) {
+    solve();
+  }
+}
diff --git a/contests/Round897/F/main.cpp b/contests/Round897/F/main.cpp
new file mode 100755
index 0000000..82c5879
--- /dev/null
+++ b/contests/Round897/F/main.cpp
@@ -0,0 +1,129 @@
+#include <bits/stdc++.h>
+using namespace std;
+
+using ll = long long;
+using pii = pair<int, int>;
+using vpi = vector<pii>;
+using vi = vector<int>;
+using vll = vector<long long>;
+using mpii = map<int, int>;
+using mpll = map<ll, ll>;
+using db = long double;
+
+#define pb push_back
+#define all(x) (x).begin(), (x).end()
+#define rall(x) (x).rbegin(), (x).rend()
+#define lb lower_bound
+#define ub upper_bound
+#define make_unique(x)                                                         \
+  sort(all((x)));                                                              \
+  (x).resize(unique(all((x))) - (x).begin())
+#define ceil(a, b) ((a) + (b)-1) / (b)
+
+const int MOD = (int)1e9 + 7;
+const db PI = acos((db)-1);
+const int dx[4]{1, 0, -1, 0};
+const int dy[4]{0, 1, 0, -1};
+
+template <typename K, typename V>
+ostream &operator<<(ostream &os, const pair<K, V> &p);
+template <typename T> ostream &operator<<(ostream &os, const vector<T> &vec);
+template <typename K, typename V>
+ostream &operator<<(ostream &os, const map<K, V> &m);
+template <typename K, typename V>
+ostream &operator<<(ostream &os, const unordered_map<K, V> &m);
+template <typename T> ostream &operator<<(ostream &os, const set<T> &s);
+template <typename T>
+ostream &operator<<(ostream &os, const unordered_set<T> &s);
+
+template <typename K, typename V>
+ostream &operator<<(ostream &os, const pair<K, V> &p) {
+  os << "(" << p.first << ", " << p.second << ")";
+  return os;
+}
+
+template <typename T> ostream &operator<<(ostream &os, const vector<T> &vec) {
+  os << "{";
+  for (size_t i = 0; i < vec.size(); ++i) {
+    if (i > 0)
+      os << ", ";
+    os << vec[i];
+  }
+  os << "}";
+  return os;
+}
+
+template <typename K, typename V>
+ostream &operator<<(ostream &os, const map<K, V> &m) {
+  os << "{";
+  for (const auto &p : m) {
+    os << p.first << ": " << p.second << ", ";
+  }
+  os << "}";
+  return os;
+}
+
+template <typename K, typename V>
+ostream &operator<<(ostream &os, const unordered_map<K, V> &m) {
+  os << "{";
+  for (const auto &p : m) {
+    os << p.first << ": " << p.second << ", ";
+  }
+  os << "}";
+  return os;
+}
+
+template <typename T> ostream &operator<<(ostream &os, const set<T> &s) {
+  int i = 0;
+  os << "{";
+  for (const auto &e : s) {
+    if (i > 0)
+      os << ", ";
+    os << e;
+    i++;
+  }
+  os << "}";
+  return os;
+}
+
+template <typename T>
+ostream &operator<<(ostream &os, const unordered_set<T> &s) {
+  int i = 0;
+  os << "{";
+  for (const auto &e : s) {
+    if (i > 0)
+      os << ", ";
+    os << e;
+    i++;
+  }
+  os << "}";
+  return os;
+}
+
+void dbg() { cerr << "\n"; }
+
+template <typename T, typename... TS> void dbg(T val, TS... vals) {
+  cerr << val << " ";
+  dbg(vals...);
+}
+
+/* stuff you should look for:
+  ---------------------------
+   * special cases (n=1?)
+   * int overflow, array bounds
+   * do smth instead of nothing and stay organized
+   * WRITE STUFF DOWN
+   * DON'T GET STUCK ON ONE APPROACH
+ */
+
+void solve() { <()> }
+
+int main() {
+  ios_base::sync_with_stdio(false);
+  cin.tie(NULL);
+  int tt;
+  cin >> tt;
+  while (tt--) {
+    solve();
+  }
+}