Essential Algorithms and Data Structure Implementations
Algorithm Implementations in C#
Coin Change: Number of Ways
Calculates the number of ways to make change for amount N using given coin denominations.
- Time Complexity: O(N * C), where C is the number of coins.
- Space Complexity: O(N).
static long GetNumberOfWays(long N, long[] Coins)
{
long[] ways = new long[(int)N + 1];
ways[0] = 1;
for (int i = 0; i < Coins.Length; i++)
{
for (int j = 0; j < ways.Length; j++)
{
if (Coins[i] <= j)
{
ways[j] = ways[j] + ways[(int)(j - Coins[i])];
}
}
}
return ways[(int)N];
}Coin Change: Minimum Number of Coins
Determines the minimum number of coins needed to make change for a given amount.
- Time Complexity: O(
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