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February 20, 2015 09:59
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Longest Arithmetic progression in an array [UNSOLVED]
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| /* | |
| * Find the longest arithematic progression in an array using DP Method | |
| * Reference:- geeksforgeeks | |
| * Author: Rohith | |
| */ | |
| #include <iostream> | |
| #include <vector> | |
| #include <algorithm> | |
| using namespace std; | |
| void llap(vector<int> v){ | |
| int n = v.size(); | |
| vector<vector<int> > dp(n, vector<int>(n,0)); | |
| int max_len=2, ap_term, ap_start; | |
| for(int i=0; i<n; i++) dp[i][n-1] = 2; | |
| for(int j=n-2; j>=1; j--){ | |
| int i=j-1,k=j+1; | |
| while(i>=0 && k <= n-1){ | |
| if(v[i] + v[k] < (2*v[j])) k++; | |
| else if(v[i] + v[k] > (2*v[j])){ | |
| dp[i][j] = 2; | |
| i--; | |
| } | |
| else { | |
| dp[i][j] = dp[j][k] + 1; | |
| max_len = max(max_len, dp[i][j]); | |
| if(max_len == dp[i][j]){ | |
| ap_term = v[j] - v[i]; | |
| ap_start = i; | |
| } | |
| i--; | |
| k++; | |
| } | |
| } | |
| while(i >= 0){ | |
| dp[i][j] = 2; | |
| i--; | |
| } | |
| } | |
| cout << "max_len is: " << max_len << endl; | |
| cout << v[ap_start] << " "; | |
| for(int i=ap_start+1; i<n; i++){ | |
| if((v[ap_start] - v[i])%ap_term == 0) | |
| cout << v[i] << " "; | |
| } | |
| cout << endl; | |
| for(int i=0; i<n; i++){ | |
| for(int j=0; j<n; j++){ | |
| cout << dp[i][j] << " "; | |
| } | |
| cout << endl; | |
| } | |
| cout << endl; | |
| } | |
| int main(){ | |
| int n; | |
| cin >> n; | |
| vector<int> v(n); | |
| for(int i=0; i<n; i++) cin >> v[i]; | |
| llap(v); | |
| return 0; | |
| } |
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