// C++ program to Find Pair of row in Binary matrix
// that has maximum Bit difference
#include<bits/stdc++.h>
using namespace std;
// Indicates maximum size of matrix
const int MAX1 = 100;
struct TrieNode{
int leaf1; //store index of visited row
struct TrieNode *Child1[2];
};
// Shows utility function to create a new Trie node
TrieNode * getNode(){
TrieNode * newNode1 = new TrieNode;
newNode1->leaf1 = 0;
newNode1->Child1[0] = newNode1->Child1[1] = NULL;
return newNode1;
}
// Shows utility function insert new row in trie
void insert(TrieNode *root1, int Mat1[][MAX1], int n1,
int row_index1){
TrieNode * temp1 = root1;
for (int i=0; i<n1; i++){
// Append a new Node into trie
if(temp1->Child1[ Mat1[row_index1][i] ] == NULL)
temp1->Child1[ Mat1[row_index1][i] ] = getNode();
// Used to move current node to point next node in trie
temp1 = temp1->Child1[ Mat1[row_index1][i] ];
}
// Here store index of currently inserted row
temp1->leaf1 = row_index1 +1 ;
}
// Shows utility function compute maximum bit difference of
// current row with previous visited row of binary matrix
pair<int, int> maxBitDiffCount(TrieNode * root1,
int Mat1[][MAX1], int n1, int row_index1){
TrieNode * temp1 = root1;
int count1 = 0;
// Determine previous visited row of binary matrix
// that has starting bit same as current row
for (int i= 0 ; i < n1 ; i++){
// At first look for same bit in trie
if (temp1->Child1[ Mat1[row_index1][i] ] != NULL)
temp1 = temp1->Child1[ Mat1[row_index1][i] ];
// Otherwise looking for opposite bit
else if (temp1->Child1[1 - Mat1[row_index1][i]] != NULL){
temp1 = temp1->Child1[1- Mat1[row_index1][i]];
count1++;
}
}
int leaf_index1 = temp1->leaf1;
int count2 = 0 ;
temp1 = root1;
// Determine previous visited row of binary matrix
// that has starting bit opposite to current row
for (int i= 0 ; i < n1 ; i++){
// At first looking for opposite bit
if (temp1->Child1[ 1 - Mat1[row_index1][i] ] !=NULL){
temp1 = temp1->Child1[ 1- Mat1[row_index1][i] ];
count2++;
}
// Else look for same bit in trie
else if (temp1->Child1[ Mat1[row_index1][i] ] != NULL)
temp1 = temp1->Child1[ Mat1[row_index1][i] ];
}
pair <int ,int> P = count2 > count1 ?
make_pair(count2, temp1->leaf1):
make_pair(count1, leaf_index1);
// Here return pair that contain both bit difference
// count and index of row with we get bit
// difference
return P;
}
// Returns maximum bit difference pair of row
void maxDiff( int mat1[][MAX1], int n1, int m1){
TrieNode * root1 = getNode();
// Used to insert first matrix row in trie
insert(root1, mat1, m1, 0);
int max_bit_diff1= INT_MIN;
pair <int ,int> P, temp1 ;
// Visit all rest row of binary matrix
for (int i = 1 ; i < n1; i++){
// Calculate bit difference with previous visited
// rows of matrix
temp1 = maxBitDiffCount(root1, mat1, m1 ,i);
// Modify maximum bit difference
if (max_bit_diff1 < temp1.first ){
max_bit_diff1 = temp1.first;
P = make_pair( temp1.second, i+1);
}
// Used to insert current row value into Trie
insert(root1, mat1, m1, i );
}
// Now print maximum bit difference pair in row
cout << "(" << P.first <<", "<< P.second << ")";
}
// Driver program
int main(){
int mat1[][MAX1] = {{1 ,0 ,1 ,1 },{1, 0, 1 ,1 },{0 ,0 ,0 ,1},
{1 ,0 ,0 ,0}
};
maxDiff(mat1, 4, 4) ;
/* int mat1[][MAX1] = {{1 ,0 ,1 ,1 },
{1, 1, 1 ,1 },
{0 ,1 ,0 ,1},
{1 ,0 ,0 ,0}
};
maxDiff(mat1, 4, 4) ; */
/*int mat1[][MAX1] = {{1 ,1, 1 ,1 },
{1, 0, 1 ,1 },
{0 ,0 ,0 ,0},
};
maxDiff(mat1, 3, 4) ; */
return 0;
}
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