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Painting fence Algorithm #70

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Painting fence Algorithm #70

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24 changes: 24 additions & 0 deletions PaintingfenceAlgo
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# Python3 program for Painting Fence Algorithm
# optimised version

# Returns count of ways to color k posts
def countWays(n, k):

dp = [0] * (n + 1)
total = k
mod = 1000000007

dp[1] = k
dp[2] = k * k

for i in range(3,n+1):
dp[i] = ((k - 1) * (dp[i - 1] + dp[i - 2])) % mod

return dp[n]

# Driver code
n = 3
k = 2
print(countWays(n, k))