Merge pull request #177 from SaBuZa/Segment-Tree

Add Segment tree

Author: harshildarji

Diff for: data_structures/Binary Tree/SegmentTree.py

@@ -0,0 +1,64 @@
+import math
+
+class SegmentTree:
+    
+    def __init__(self, N):
+        self.N = N
+        self.st = [0 for i in range(0,4*N)] # approximate the overall size of segment tree with array N
+        
+    def left(self, idx):
+        return idx*2
+
+    def right(self, idx):
+        return idx*2 + 1
+
+    def build(self, idx, l, r, A):
+        if l==r:
+            self.st[idx] = A[l-1]
+        else :
+            mid = (l+r)//2
+            self.build(self.left(idx),l,mid, A)
+            self.build(self.right(idx),mid+1,r, A)
+            self.st[idx] = max(self.st[self.left(idx)] , self.st[self.right(idx)])
+    
+    def update(self, idx, l, r, a, b, val): # update(1, 1, N, a, b, v) for update val v to [a,b]
+        if r < a or l > b:
+            return True
+        if l == r :
+            self.st[idx] = val
+            return True
+        mid = (l+r)//2
+        self.update(self.left(idx),l,mid,a,b,val)
+        self.update(self.right(idx),mid+1,r,a,b,val)
+        self.st[idx] = max(self.st[self.left(idx)] , self.st[self.right(idx)])
+        return True
+
+    def query(self, idx, l, r, a, b): #query(1, 1, N, a, b) for query max of [a,b]
+        if r < a or l > b:
+            return -math.inf
+        if l >= a and r <= b:
+            return self.st[idx]
+        mid = (l+r)//2
+        q1 = self.query(self.left(idx),l,mid,a,b)
+        q2 = self.query(self.right(idx),mid+1,r,a,b)
+        return max(q1,q2)
+
+    def showData(self):
+        showList = []
+        for i in range(1,N+1):
+            showList += [self.query(1, 1, self.N, i, i)]
+        print (showList)
+            
+
+if __name__ == '__main__':
+    A = [1,2,-4,7,3,-5,6,11,-20,9,14,15,5,2,-8]
+    N = 15
+    segt = SegmentTree(N)
+    segt.build(1,1,N,A)
+    print (segt.query(1,1,N,4,6))
+    print (segt.query(1,1,N,7,11))
+    print (segt.query(1,1,N,7,12))
+    segt.update(1,1,N,1,3,111)
+    print (segt.query(1,1,N,1,15))
+    segt.update(1,1,N,7,8,235)
+    segt.showData()