diff --git a/number/basis-ng.cc b/number/basis-ng.cc
new file mode 100644
index 0000000..ee83ea7
--- /dev/null
+++ b/number/basis-ng.cc
@@ -0,0 +1,34 @@
+template <typename T>
+struct basis {
+    array<T, sizeof(T) * 8> p;
+    int cnt = 0;
+
+    basis(const vector<T>& v) {
+        for (auto&& x : v) {
+            insert(x);
+        }
+    }
+
+    bool insert(T x) {
+        for (size_t i = sizeof(T) * 8 - 1; ~i; --i) {
+            if (not (x >> i)) continue;
+            if (not p[i]) {
+                p[i] = x;
+                cnt += 1;
+                return true;
+            }
+            x ^= p[i];
+        }
+        return false;
+    }
+
+    vector<T> value(void) const {
+        vector<T> res;
+        for (size_t i = sizeof(T) * 8 - 1; ~i; --i) {
+            if (not p[i]) continue;
+            res.emplace_back(p[i]);
+        }
+        return res;
+    }
+};
+
diff --git a/trees/quick_union.cc b/trees/quick_union.cc
index aea85b3..7aa4252 100644
--- a/trees/quick_union.cc
+++ b/trees/quick_union.cc
@@ -6,12 +6,12 @@ public:
         iota(c.begin(), c.end(), 0);
         sz.assign(n, 1);
     }
-    
+
     size_t query(size_t i) {
         if (c[i] != i) c[i] = query(c[i]);
         return c[i];
     }
-    
+
     void merge(size_t i, size_t j) {
         if (connected(i, j)) return;
         sz[query(j)] += sz[query(i)];