Maximum coins from three piles in K operations

Updated

You are given two boxes. The first box is empty while in the second, there are 3 piles of coins. Whenever you choose a pile of X coins (x>=1) from the second box, the coins in the first box increases by X but only one gold coin gets reduced from the pile present in the second box. You can choose only one pile at a time. You can repeat this operation K times. Every pile contains coins between 1 and 50 only, initially. Find the maximum number of coins that can be extracted in K given operations.

Examples :

Input : stacks{ 9, 1, 4} and K = 10
Output : 51

Input : stacks{ 4, 5, 5} and K = 4
Output : 18
#include <bits/stdc++.h>

using namespace std ;
// Driver Code
int main() {
	// Declaring the number of coins in each stack
	int arr[3]={ 4 , 5 , 5} ;
	// 'n' is the 'K' operations that can be performed and 'ans' will contain the result
	int n = 4, ans=0;
	// sorting the 'arr'
	sort( arr , arr + 3 ) ;
	//looping for every operation
	for(int i = 1 ; i <= n ; i++ ) {
		//condition to check whether the stack with maximum coins is empty or not
		if( arr[2]  ) {
			//'ans' becomes 'ans' plus coins in largest stack
			ans += arr[2] ;
			// Decreasing one coin from chosen stack in the second box
			arr[2]-- ;
		}
			sort( arr , arr + 3 ) ;	//sorting after every operation 
	}
	// Maximum coins that can be taken
		cout << ans << endl ;
	return 0 ;
}

let the stacks be{4 ,5 ,5} and ‘K’ = 4

  • First chosen stack = 5 => ans = 5 and stack = {4 , 4 , 5}
  • Second chosen stack = 5 => ans = 10 and stack = {4 , 4 , 4}
  • First chosen stack = 4 => ans = 14 and stack = {4 , 4 , 3}
  • First chosen stack = 4 => ans = 18 and stack = {3 , 4 , 3}

Hence, the maximum possible number of coins is 18.

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Mithlesh Upadhyay Published 5 Nov 2026 · 2 min read

Mithlesh Upadhyay is a Computer Science and AI expert from Madhya Pradesh with strong academic background (BE in CSE and M.Tech in AI) and over six years of experience in technical content development. He has contributed tech articles, led teams, and worked in Full Stack Development and Data Science. He founded the w3colleges.org portal for learning resources.

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