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Minimum In Subarray.cpp
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86 lines (79 loc) · 2.28 KB
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#include<bits/stdc++.h>
using namespace std;
#define ll long long int
//FOR BUILDING IT TAKES O(N)
void buildtree(int* arr,int* tree,int start,int en,int treenode)
{
if(start==en)
{
tree[treenode]=arr[start];
return ;
}
int mid=(start+en)/2;
buildtree(arr,tree,start,mid,2*treenode);
buildtree(arr,tree,mid+1,en,2*treenode+1);
tree[treenode]= min(tree[2*treenode], tree[2*treenode+1]);
}
//FOR UPDATING IT TAKES O(LOG N)
void updatetree(int* arr,int *tree,int start,int en,int treenode,int idx,int value)
{
if(start==en)
{
arr[idx]=value;
tree[treenode]=value;
return;
}
int mid=(start+en)/2;
if(idx>mid)
{
updatetree(arr,tree,mid+1,en,2*treenode+1,idx,value);
}
else
{
updatetree(arr,tree,start,mid,2*treenode,idx,value);
}
tree[treenode]= min(tree[2*treenode], tree[2*treenode+1]);
}
//FOR QUERYING ALSO IT TAKES O(LOG N)
int query(int* tree,int start,int en,int treenode,int left,int right)
{
//COMPLETELY OUTSIDE GIVEN RANGE
if(start > right || en < left){// END LEFT RIGHT START
return INT_MAX;
}
//COMPLTELY INSIDE THE GIVEN RANGE
if(start>=left && en<=right){//CONSIDERING THAT THE RANGE FOR WHICH THE SUM IS STORED AT TREENODE
return tree[treenode]; //HAS TO BE INSIDE THE GIVEN RANGE TO BE FIND
}
//PARTIALLY INSIDE AND PARTIALLY OUTSIDE
int mid =(start+en)/2;
int ans1=query(tree,start,mid,2*treenode,left,right);
int ans2=query(tree,mid+1,en,2*treenode+1,left,right);
return min(ans1,ans2);
}
int main()
{
ll n,m,q,x,z,k,i,j,y;
cin>>n>>q;
int a[n];
int* tree=new int[4*n];
for(i=0;i<n;i++)
{
cin>>a[i];
}
buildtree(a,tree,0,n-1,1);
while(q--)
{
char ch;
cin>>ch>>x>>y;
if(ch=='q')
{
cout<<query(tree,0,n-1,1,x-1,y-1)<<endl;//CATCH IS THAT HERE ARRAY IS 0 BASED INDEXING AND TREE IS 1 BASE INDEXING SO,
}
else if(ch=='u') //PASS ALL INDEX 1 LESS
{
updatetree(a,tree,0,n-1,1,x-1,y);//BUT HERE Y IS VALUE TO BE UPDATED SO IT WILL NOT DECREASE BY ONE
}
}
return 0;
}