Commit 642c56d

@@ -0,0 +1,44 @@
+# Data Structures for Integers
+
+## BinaryTrie: A digital search tree
+
+encodes a set of `w` bit integers in a binary tree.
+
+* all leaves have depth `w`.
+* each integer is encoded as a root-to-leap path.
+
+The path for the int `x` trusn left at level `i` if the `ith`
+msb of `x` is a `0` and turns right if it is a `1`.
+
+* 3  -> 0011
+* 9  -> 1001
+* 12 -> 1100
+* 13 -> 1101
+
+
+```plaintext
+                (****)
+            /           \
+      (0***)             (1***)
+      /                  /    \
+(00**)             (10**)      (11**)
+     \             /           /
+     (001*)   (100*)        (110*)
+         \         \       /       \
+        (3:0011) (9:1001) (12:1100) (13:1101)
+```
+
+```java
+T find(T x) {
+  int i, c = 0, ix = it.intValue(x);
+  Node u = r;
+  for (i = 0; i < w; i++) {
+    c = (ix >>> w-i-1) & 1;
+    if (u.child[c] == null) break;
+    u = u.child[c];
+  }
+  if (i == w) return u.x;
+  u = (c == 0) ? u.jump : u.jump.child[next];
+  return u == dummy ? null : u.x;
+}
+```