diff --git a/main.cpp b/main.cpp
index 3ace94d..d022bdd 100644
--- a/main.cpp
+++ b/main.cpp
@@ -27,6 +27,12 @@ int main() {
     add_rect(3,2,6,6);
     check_area(28);
 
+    add_rect(1,-2,8,4);
+    check_area(52);
+
+    add_rect(2,2,7,3);
+    check_area(52);
+
     std::cout << "All checks passed" << std::endl;
     return 0;
 }
\ No newline at end of file
diff --git a/segment_tree.cpp b/segment_tree.cpp
index 55a374d..86f7c7f 100644
--- a/segment_tree.cpp
+++ b/segment_tree.cpp
@@ -6,26 +6,24 @@
 #include "segment_tree.h"
 
 SegmentTree::SegmentTree(const std::vector<RectCoord> &coords):
-   _nodes() {
+   _num_leaf_nodes(coords.size() -1),
+    // reserve nodes for a full binary tree with at least as many leaves as intervals
+   _num_meta_nodes(std::bit_ceil(_num_leaf_nodes) -1),
+   _nodes(2 * _num_meta_nodes + 1, {0, coords[_num_leaf_nodes].coord, coords[_num_leaf_nodes].coord, 0}) {
 
     assert(!coords.empty());
 
-    // reserve nodes for a full binary tree with at least as many leaves as intervals
-    size_t num_leaf_nodes = coords.size() -1;
-    size_t num_meta_nodes = std::bit_ceil(num_leaf_nodes) - 1;
-
     // Initialize all nodes with zero coverage and dummy interval
-    _nodes.resize(2 * num_meta_nodes + 1, {0, coords[num_leaf_nodes].coord, coords[num_leaf_nodes].coord, 0});
 
     // We initialize the tree from bottom up, keeping track of the index ranges
     // and the length of the corresponding segment
 
-    for(Index leaf_node_idx = 0 ; leaf_node_idx < num_leaf_nodes ; ++leaf_node_idx) {
-        _nodes[leaf_node_idx + num_meta_nodes].left_coord = coords[leaf_node_idx].coord;
-        _nodes[leaf_node_idx + num_meta_nodes].right_coord = coords[leaf_node_idx +1].coord;
+    for(Index leaf_node_idx = 0 ; leaf_node_idx < _num_leaf_nodes ; ++leaf_node_idx) {
+        _nodes[leaf_node_idx + _num_meta_nodes].left_coord = coords[leaf_node_idx].coord;
+        _nodes[leaf_node_idx + _num_meta_nodes].right_coord = coords[leaf_node_idx + 1].coord;
     }
     // Note that there are remaining leafs that represent dummy ranges
-    for(Index node_idx = num_meta_nodes - 1; node_idx != -1 ; --node_idx) {
+    for(Index node_idx = _num_meta_nodes - 1; node_idx != -1 ; --node_idx) {
         _nodes[node_idx].left_coord = left_child(node_idx).left_coord;
         _nodes[node_idx].right_coord = right_child(node_idx).right_coord;
     }
@@ -61,6 +59,4 @@ void SegmentTree::remove_interval(Interval interval, Index node_idx) {
         }
         update_covered_length(node_idx);
     }
-}
-
-
+}
\ No newline at end of file
diff --git a/segment_tree.h b/segment_tree.h
index 69ac54d..6b929df 100644
--- a/segment_tree.h
+++ b/segment_tree.h
@@ -19,6 +19,8 @@ struct TreeNode {
 
 
 class SegmentTree {
+    size_t _num_leaf_nodes;
+    size_t _num_meta_nodes;
     std::vector<TreeNode> _nodes;
 public:
     /**
@@ -41,6 +43,7 @@ private:
     inline void update_covered_length(Index node_idx);
     void add_interval(Interval interval, Index node_idx);
     void remove_interval(Interval interval, Index node_idx);
+    inline bool is_leaf(Index node_idx);
 
 };
 
@@ -91,16 +94,21 @@ Index SegmentTree::right_child_idx(Index node_idx) {
 void SegmentTree::update_covered_length(Index node_idx) {
     if (_nodes[node_idx].coverage > 0) {
         _nodes[node_idx].covered_length = _nodes[node_idx].segment_length();
+    } else if (is_leaf(node_idx)) {
+        _nodes[node_idx].covered_length = 0;
     } else {
         _nodes[node_idx].covered_length = \
         left_child(node_idx).covered_length + right_child(node_idx).covered_length;
     }
 }
 
-
 Unit TreeNode::segment_length() {
     return right_coord - left_coord;
 }
 
+bool SegmentTree::is_leaf(Index node_idx) {
+    return node_idx > _num_meta_nodes;
+}
+
 
 #endif //PROG_SEGMENT_TREE_H