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Distinct Coloring(GFG).cpp
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Distinct Coloring(GFG).cpp
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/*
long long int fun(int r[],int g[],int b[],int prev,int ind,vector<vector<long long int>> &dp,int n){
if(ind>=n){
return 0;
}
if(dp[ind][prev]!=-1){
return dp[ind][prev];
}
// 3 cases
long long int c1=1e12;
if(prev!=0){
c1 = r[ind] + fun(r,g,b,0,ind+1,dp,n);
}
long long int c2=1e12;
if(prev!=1){
c2 = g[ind] + fun(r,g,b,1,ind+1,dp,n);
}
long long int c3=1e12;
if(prev!=2){
c3 = b[ind] + fun(r,g,b,2,ind+1,dp,n);
}
return dp[ind][prev] = min(c1,min(c2,c3));
}
long long int distinctColoring(int n, int r[], int g[], int b[]){
// code here
// 3 - no color
// 2 - blue
// 1 - green
// 0 - red
vector<vector<long long int>> dp(n,vector<long long int> (4,-1));
fun(r,g,b,3,0,dp,n);
return dp[0][3];
}
*/
//{ Driver Code Starts
//Initial Template for C++
#include<bits/stdc++.h>
using namespace std;
// } Driver Code Ends
//User function Template for C++
class Solution{
public:
long long int distinctColoring(int n, int r[], int g[], int b[]){
//create a dp table of (n*3) size
vector<vector<long long int>> dp(n,vector<long long int>(3,0));
dp[0][0]=r[0];
dp[0][1]=g[0];
dp[0][2]=b[0];
for(int i=1;i<n;i++){
//for red color
dp[i][0] = min(dp[i-1][1], dp[i-1][2]) + r[i];
dp[i][1] = min(dp[i-1][0], dp[i-1][2]) + g[i];
dp[i][2] = min(dp[i-1][0], dp[i-1][1]) + b[i];
}
return min({dp[n-1][0], dp[n-1][1], dp[n-1][2]});
}
};
//{ Driver Code Starts.
int main()
{
int t;
cin>>t;
while(t--)
{
int N;
cin >> N;
int r[N],g[N],b[N];
for(int i = 0; i < N; i++)
cin >> r[i];
for(int i = 0; i < N; i++)
cin >> g[i];
for(int i = 0; i < N; i++)
cin >> b[i];
Solution ob;
cout << ob.distinctColoring(N, r, g, b) << endl;
}
return 0;
}
// } Driver Code Ends