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Find out the minimum number of coins required to pay total amount in C++
Suppose we have a number N, and unlimited number of coins worth 1, 10 and 25 currency coins. Find minimum number of coins we need to use to pay exactly amount N. Suppose N is 14, then number of coins will be 5, as one 10 value coin and four 1 value coin.
To solve this, we have to use these steps −
- If N < 10, then return N number of 1 value coins
- If N > 9 and N < 25, then divide the value with 10, and get the result, the remaining will be covered using 1 value coin, add the count to get result
- If N > 25, then divide it with 25, take the result, when result is < 25, then again do the same task for the second point and so on.
Example
#include<iostream> using namespace std; int countMinCoins(int n) { if(n<10) return n; else if(n > 9 && n < 25){ int count = n/10; count += n%10; return count; } else { int count = n/25; return count + countMinCoins(n%25); } } int main() { int n = 88; cout << "Minimum number of coins required: " << countMinCoins(n); }
Output
Minimum number of coins required: 7
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