Created
January 29, 2019 13:25
-
-
Save pbesra/aeb73beb46cf68cac10cb71d088d1932 to your computer and use it in GitHub Desktop.
Segment Tree | C++ | Sum range in an array
This file contains hidden or bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
#include <iostream> | |
#include <cmath> | |
using namespace std; | |
int getMid(int x, int y){ | |
return((x+y)/2); | |
} | |
int segTreeUtil(int* a, int* s, int ss, int se, int c){ | |
if(ss==se){ | |
s[c]=a[ss]; | |
//cout << "c: " << c << ", s[c]: " << s[c] << endl; | |
return(a[ss]); | |
} | |
int mid=getMid(ss, se); | |
s[c]=segTreeUtil(a, s, ss, mid, 2*c+1)+segTreeUtil(a, s, mid+1, se, 2*c+2); | |
//cout << "c: " << c << ", s[c]: " << s[c] << endl; | |
return(s[c]); | |
} | |
int* segTree(int* a, int n){ | |
int h=(int)(ceil(log2(n))); // 2*n-1 | |
int ts=2*(int)pow(2, h)-1; | |
int* s=new int[ts]; | |
// segment tree with number of nodes=2*n-1 | |
// each leaf node contains array item and | |
// internal nodes contain sum of items from i to j | |
// such that i<j<n | |
segTreeUtil(a, s, 0, n-1, 0); | |
return(s); | |
} | |
int getSum(int* s, int ss, int se, int qs, int qe, int si){ | |
if(qs<=ss and qe>=se){ | |
return(s[si]); | |
} | |
if(se<qs or ss>qe){ | |
return(0); | |
} | |
int mid=getMid(ss, se); | |
return(getSum(s, ss, mid, qs, qe, 2*si+1)+getSum(s, mid+1, se, qs, qe, 2*si+2)); | |
} | |
void updateUtil(int* s, int ss, int se, int index, int diff, int si){ | |
if(index<ss or index>se){ | |
return; | |
} | |
s[si]+=diff; | |
if(ss!=se){ | |
int mid=getMid(ss, se); | |
updateUtil(s, ss, mid, index, diff, 2*si+1); | |
updateUtil(s, mid+1, se, index, diff, 2*si+2); | |
} | |
} | |
void updateArray(int* a, int* s, int ss, int se, int index, int val){ | |
if(index<ss or index>se){ | |
cout << "index out of bound." << endl; | |
return; | |
} | |
int diff=val-a[index]; | |
a[index]=val; | |
updateUtil(s, ss, se, index, diff, 0); | |
} | |
int main(){ | |
int a[]={1, 3, 5, 2, 9, 4}; | |
//{1, 3, 5, 3, 9, 11}; | |
// | |
int n=sizeof(a)/sizeof(a[0]); | |
int* s=segTree(a, n); | |
//cout << "range sum: " << getSum(s, 0, n-1, 1, 3, 0) << endl; | |
updateArray(a, s, 0, n-1, 1, 7); | |
for(int i=0;i<2*n-1;i++){ | |
cout << s[i] << " "; | |
} | |
return(0); | |
} |
Sign up for free
to join this conversation on GitHub.
Already have an account?
Sign in to comment