diff --git a/core/ctree/cnode.cpp b/core/ctree/cnode.cpp
index 6563c007..d24685d8 100644
--- a/core/ctree/cnode.cpp
+++ b/core/ctree/cnode.cpp
@@ -201,7 +201,7 @@ namespace tree{
 
     CRoots::~CRoots(){}
 
-    void CRoots::prepare(float root_exploration_fraction, const std::vector<std::vector<float>> &noises, const std::vector<float> &value_prefixs, const std::vector<std::vector<float>> &policies){
+    void CRoots::prepare(float root_exploration_fraction, const std::vector<std::vector<float> > &noises, const std::vector<float> &value_prefixs, const std::vector<std::vector<float> > &policies){
         for(int i = 0; i < this->root_num; ++i){
             this->roots[i].expand(0, 0, i, value_prefixs[i], policies[i]);
             this->roots[i].add_exploration_noise(root_exploration_fraction, noises[i]);
@@ -210,7 +210,7 @@ namespace tree{
         }
     }
 
-    void CRoots::prepare_no_noise(const std::vector<float> &value_prefixs, const std::vector<std::vector<float>> &policies){
+    void CRoots::prepare_no_noise(const std::vector<float> &value_prefixs, const std::vector<std::vector<float> > &policies){
         for(int i = 0; i < this->root_num; ++i){
             this->roots[i].expand(0, 0, i, value_prefixs[i], policies[i]);
 
@@ -223,8 +223,8 @@ namespace tree{
         this->roots.clear();
     }
 
-    std::vector<std::vector<int>> CRoots::get_trajectories(){
-        std::vector<std::vector<int>> trajs;
+    std::vector<std::vector<int> > CRoots::get_trajectories(){
+        std::vector<std::vector<int> > trajs;
         trajs.reserve(this->root_num);
 
         for(int i = 0; i < this->root_num; ++i){
@@ -233,8 +233,8 @@ namespace tree{
         return trajs;
     }
 
-    std::vector<std::vector<int>> CRoots::get_distributions(){
-        std::vector<std::vector<int>> distributions;
+    std::vector<std::vector<int> > CRoots::get_distributions(){
+        std::vector<std::vector<int> > distributions;
         distributions.reserve(this->root_num);
 
         for(int i = 0; i < this->root_num; ++i){
@@ -314,7 +314,7 @@ namespace tree{
         update_tree_q(root, min_max_stats, discount);
     }
 
-    void cbatch_back_propagate(int hidden_state_index_x, float discount, const std::vector<float> &value_prefixs, const std::vector<float> &values, const std::vector<std::vector<float>> &policies, tools::CMinMaxStatsList *min_max_stats_lst, CSearchResults &results, std::vector<int> is_reset_lst){
+    void cbatch_back_propagate(int hidden_state_index_x, float discount, const std::vector<float> &value_prefixs, const std::vector<float> &values, const std::vector<std::vector<float> > &policies, tools::CMinMaxStatsList *min_max_stats_lst, CSearchResults &results, std::vector<int> is_reset_lst){
         for(int i = 0; i < results.num; ++i){
             results.nodes[i]->expand(0, hidden_state_index_x, i, value_prefixs[i], policies[i]);
             // reset
diff --git a/core/ctree/cnode.h b/core/ctree/cnode.h
index efc0e854..18a839ec 100644
--- a/core/ctree/cnode.h
+++ b/core/ctree/cnode.h
@@ -44,17 +44,17 @@ namespace tree {
         public:
             int root_num, action_num, pool_size;
             std::vector<CNode> roots;
-            std::vector<std::vector<CNode>> node_pools;
+            std::vector<std::vector<CNode> > node_pools;
 
             CRoots();
             CRoots(int root_num, int action_num, int pool_size);
             ~CRoots();
 
-            void prepare(float root_exploration_fraction, const std::vector<std::vector<float>> &noises, const std::vector<float> &value_prefixs, const std::vector<std::vector<float>> &policies);
-            void prepare_no_noise(const std::vector<float> &value_prefixs, const std::vector<std::vector<float>> &policies);
+            void prepare(float root_exploration_fraction, const std::vector<std::vector<float> > &noises, const std::vector<float> &value_prefixs, const std::vector<std::vector<float> > &policies);
+            void prepare_no_noise(const std::vector<float> &value_prefixs, const std::vector<std::vector<float> > &policies);
             void clear();
-            std::vector<std::vector<int>> get_trajectories();
-            std::vector<std::vector<int>> get_distributions();
+            std::vector<std::vector<int> > get_trajectories();
+            std::vector<std::vector<int> > get_distributions();
             std::vector<float> get_values();
 
     };
@@ -64,7 +64,7 @@ namespace tree {
             int num;
             std::vector<int> hidden_state_index_x_lst, hidden_state_index_y_lst, last_actions, search_lens;
             std::vector<CNode*> nodes;
-            std::vector<std::vector<CNode*>> search_paths;
+            std::vector<std::vector<CNode*> > search_paths;
 
             CSearchResults();
             CSearchResults(int num);
@@ -76,7 +76,7 @@ namespace tree {
     //*********************************************************
     void update_tree_q(CNode* root, tools::CMinMaxStats &min_max_stats, float discount);
     void cback_propagate(std::vector<CNode*> &search_path, tools::CMinMaxStats &min_max_stats, int to_play, float value, float discount);
-    void cbatch_back_propagate(int hidden_state_index_x, float discount, const std::vector<float> &value_prefixs, const std::vector<float> &values, const std::vector<std::vector<float>> &policies, tools::CMinMaxStatsList *min_max_stats_lst, CSearchResults &results, std::vector<int> is_reset_lst);
+    void cbatch_back_propagate(int hidden_state_index_x, float discount, const std::vector<float> &value_prefixs, const std::vector<float> &values, const std::vector<std::vector<float> > &policies, tools::CMinMaxStatsList *min_max_stats_lst, CSearchResults &results, std::vector<int> is_reset_lst);
     int cselect_child(CNode* root, tools::CMinMaxStats &min_max_stats, int pb_c_base, float pb_c_init, float discount, float mean_q);
     float cucb_score(CNode *child, tools::CMinMaxStats &min_max_stats, float parent_mean_q, int is_reset, float total_children_visit_counts, float parent_value_prefix, float pb_c_base, float pb_c_init, float discount);
     void cbatch_traverse(CRoots *roots, int pb_c_base, float pb_c_init, float discount, tools::CMinMaxStatsList *min_max_stats_lst, CSearchResults &results);