diff --git a/_Footer.md b/_Footer.md
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+>
+    2 using namespace std;
+    3 
+    4 template <typename T>
+>>  5 void _dbg(char const * s, const T &t) { cout << s << "=" << t <      < endl; }
+    6 template <typename T, typename... TA>
+>>  7 void _dbg(char const *s, const T &t, const TA&... ta) { while (      *s != ',') cout << *s++; cout << "=" << t << ","; _dbg(s + 1, t      a...); }
+    8 template <typename T1, typename T2>
+>>  9 ostream& operator<<(ostream &os, const pair<T1, T2> &p) { retur      n os << "{" << p.first << "," << p.second << "}"; }
+   10 template <typename T>
+>> 11 some text added.
+   12 ostream& operator<<(ostream &os, const vector<T> &v) {
+   13     os << "{";
+   14     for (auto it = v.begin(); it != v.end(); ++it) {
+   15         if (it != v.begin()) os << ",";
+   16         os << *it;
+   17     }
+   18     return os << "}";
+   19 }
+   20 template <typename T1, typename T2>
+>> 21 ostream& operator<<(ostream &os, const map<T1, T2> &mp) {
+   22     os << "{";
+   23     for (auto it = mp.begin(); it != mp.end(); ++it) {
+   24         if (it != mp.begin()) os << ",";
+   25         os << *it;
+   26     }
+   27     return os << "}";
+   28 }
+   29 template <typename T>
+>> 30 ostream& operator<<(ostream &os, const set<T> &s) {
+   31     os << "{";
+   32     for (auto it = s.begin(); it != s.end(); ++it) {
+   33         if (it != s.begin()) os << ",";
+   34         os << *it;
+   35     }
+   36     return os << "}";
+   37 }
+   38 template <typename T>
+   39 ostream& operator<<(ostream &os, const multiset<T> &s) {
+   40     os << "{";
+   41     for (auto it = s.begin(); it != s.end(); ++it) {
+   42         if (it != s.begin()) os << ",";
+   43         os << *it;
+   44     }
+   45     return os << "}";
+   46 }
+   47 template <size_t N>
+   48 ostream& operator<<(ostream &os, const bitset<N> &bs) {
+   49     os << "{";
+   50     for (size_t i = 0; i < N; ++i) {
+   51         cout << bs[i];
+   52     }
+   53     return os << "}";
+   54 }
+   55 
+   56 #ifdef LOCAL
+   57 #define dbg(...) _dbg(#__VA_ARGS__, __VA_ARGS__)
+   58 #else
+   59 #define dbg(...)
+   60 #endif
+   61 
+   62 #define all(x) (x).begin(), (x).end()
+   63 #define rall(x) (x).rbegin(), (x).rend()
+   64 #define reunique(x) (x).resize(std::unique(all(x)) - (x).begin(      ))
+   65 using ll = long long;
+   66 using ld = long double;
+   67 using pii = pair<int, int>;
+   68 using pll = pair<ll, ll>;
+   69 using pdd = pair<ld, ld>;
+   70 
+   71 struct Ev {
+   72     int x;
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