Golf idea (#185)

* Update kd_bit.hpp

* [auto-verifier] verify commit 2ce8903

---------

Co-authored-by: GitHub <noreply@github.com>

Author: lrvideckis

.verify-helper/timestamps.remote.json

@@ -23,7 +23,7 @@
 "tests/library_checker_aizu_tests/data_structures/dsu_restorable.test.cpp": "2026-01-18 02:20:40 +0000",
 "tests/library_checker_aizu_tests/data_structures/dsu_segtree_undo_trick.test.cpp": "2026-01-23 04:31:29 +0000",
 "tests/library_checker_aizu_tests/data_structures/implicit_seg_tree.test.cpp": "2026-01-18 11:15:41 +0000",
-"tests/library_checker_aizu_tests/data_structures/kd_bit_1d.test.cpp": "2026-02-19 13:06:00 -0600",
+"tests/library_checker_aizu_tests/data_structures/kd_bit_1d.test.cpp": "2026-02-19 14:00:15 -0700",
 "tests/library_checker_aizu_tests/data_structures/kruskal_tree_aizu.test.cpp": "2026-01-18 02:20:40 +0000",
 "tests/library_checker_aizu_tests/data_structures/kth_smallest_pst.test.cpp": "2026-01-18 11:15:41 +0000",
 "tests/library_checker_aizu_tests/data_structures/kth_smallest_wavelet_matrix.test.cpp": "2026-02-04 02:50:53 +0000",
@@ -77,7 +77,7 @@
 "tests/library_checker_aizu_tests/handmade_tests/fib_matrix_expo.test.cpp": "2026-01-28 21:48:16 -0700",
 "tests/library_checker_aizu_tests/handmade_tests/functional_graph.test.cpp": "2025-08-06 16:18:37 -0600",
 "tests/library_checker_aizu_tests/handmade_tests/hilbert_mos.test.cpp": "2026-01-18 02:20:40 +0000",
-"tests/library_checker_aizu_tests/handmade_tests/kd_bit.test.cpp": "2026-02-19 13:06:00 -0600",
+"tests/library_checker_aizu_tests/handmade_tests/kd_bit.test.cpp": "2026-02-19 14:00:15 -0700",
 "tests/library_checker_aizu_tests/handmade_tests/manacher.test.cpp": "2026-01-18 11:15:41 +0000",
 "tests/library_checker_aizu_tests/handmade_tests/merge_st_and_wavelet.test.cpp": "2026-02-04 02:50:53 +0000",
 "tests/library_checker_aizu_tests/handmade_tests/mobius.test.cpp": "2025-02-10 14:50:36 -0700",

library/data_structures_[l,r)/bit_uncommon/kd_bit.hpp

@@ -12,12 +12,6 @@
 //! @time O(n^k + q * log^k n)
 //! @space O(n^k)
 // NOLINTNEXTLINE(readability-identifier-naming)
-template<int K> struct KD_BIT;
-template<> struct KD_BIT<0> {
-  ll s = 0;
-  void update(ll v) { s += v; }
-  ll query() { return s; }
-};
 template<int K> struct KD_BIT {
   vector<KD_BIT<K - 1>> s;
   template<class... A>
@@ -32,3 +26,8 @@ template<int K> struct KD_BIT {
     return ans;
   }
 };
+template<> struct KD_BIT<0> {
+  ll s = 0;
+  void update(ll v) { s += v; }
+  ll query() { return s; }
+};