[PYTHON] AtCoder Beginner Contest 156 Participation Report

AtCoder Beginner Contest 156 Participation Report

ABC156A - Beginner

Break through in 4 minutes. Just write.

N, R = map(int, input().split())

if N >= 10:
    print(R)
else:
    print(R - 100 * (10 - N))

ABC156B - Digits

Break through in 2 minutes. Just write. If you know that the K-ary 10 is K and 100 is K 2 </ sup>, you just need to find out how many times you can divide by K.

N, K = map(int, input().split())

result = 0
while N != 0:
    result += 1
    N //= K
print(result)

ABC156C - Rally

Break through in 3 and a half minutes. Just write ... because I'm used to this calculation. (X i </ sub> −P) 2 </ sup> is the minimum P Center of gravity. I am doing this 3D calculation with color-reduced K-means …….

N = int(input())
X = list(map(int, input().split()))

P = int(sum(X) / N + 0.5)
print(sum((x - P) * (x - P) for x in X))

ABC156D - Bouquet

Break through in 70 and a half minutes. First, n </ sub> C 0 </ sub> + n </ sub> C 1 </ sub> + ... + You have to know n </ sub> C n </ sub> = 2 n </ sup>. I didn't know orz. Pascal's Triangle Wikipedia I found out that this is the end of pasting the mcomb I wrote in the past, but there is a part that asks for n !, and it is killed by 2 ≤ n ≤ 10 9 </ sup>. A, b are at most 10 I noticed that it was 5 </ sup>, and finally solved it by rearranging it into another formula that finds n </ sub> C k </ sub>. Good question!

def mcomb(n, k):
    a = 1
    b = 1
    for i in range(k):
        a *= n - i
        a %= 1000000007
        b *= i + 1
        b %= 1000000007
    return a * pow(b, 1000000005, 1000000007) % 1000000007


n, a, b = map(int, input().split())

result = pow(2, n, 1000000007) - 1
result -= mcomb(n, a)
result + 1000000007
result %= 1000000007
result -= mcomb(n, b)
result + 1000000007
result %= 1000000007
print(result)

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