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Delete DSU_union_rank.cpp
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@@ -1,96 +0,0 @@
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#include <iostream>
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#include <vector>
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using namespace std;
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class DSU{
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private:
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// p: keeps track of parent of i
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// depth: tracks the depth of i
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// setSize: size of each chunk(set)
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vector<int> p,depth,setSize;
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public:
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//parameter : int n -> maximum number of items
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DSU(int n){
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p.assign(n,0);
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//initially all of them their own parents
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depth.assign(n,0);
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setSize.assign(n,0);
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for(int i=0;i<n;i++){
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p[i] = i;
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depth[i] = 0;
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setSize[i] = 1;
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}
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}
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int findSet(int i){
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//union rank i - > p[i]
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while(i!=p[i]){
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i = p[i];
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}
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return i;
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}
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//union of 2 sets
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void unionSet(int i,int j){
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//check if both belongs to same set or not
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if(isSame(i,j)){
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return;
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}
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//we find representative of the i and j
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int x = findSet(i);
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int y = findSet(j);
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//always keeping the min as x
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//in order to create a shallow tree
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if(depth[x]>depth[y]){
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swap(x,y);
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}
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//making the shallower tree' root parent of the deeper root
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p[x] = y;
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//if same depth then increase one's depth
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if(depth[x] == depth[y]){
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depth[y]++;
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}
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//total size of the resultant set
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setSize[y]+=setSize[x];
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}
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// checks if both belongs to same set
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bool isSame(int i,int j){
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if(findSet(i) == findSet(j)){
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return true;
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}
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return false;
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}
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void getParents(int i){
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while(p[i]!=i){
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cout << i << " ->";
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i = p[i];
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}
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cout << p[i] << endl;
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}
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};
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int main(){
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int n;
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n = 10;
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//n: number of items
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DSU d(n+1);
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d.unionSet(2,1); //performs union operation on 1 and 2
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d.unionSet(1,4);
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d.unionSet(8,1);
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d.unionSet(3,5);
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d.unionSet(5,6);
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d.unionSet(5,7);
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d.unionSet(9,10);
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d.unionSet(2,10);
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//keeping track of the changes using parent pointers
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d.getParents(7);
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d.getParents(2);
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}
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