问题描述
给定一个N阶矩阵A,输出A的M次幂(M是非负整数)
例如:
A =
1 2
3 4
A的2次幂
7 10
15 22
输入格式
第一行是一个正整数N、M(1<=N<=30, 0<=M<=5),表示矩阵A的阶数和要求的幂数
接下来N行,每行N个绝对值不超过10的非负整数,描述矩阵A的值
输出格式
输出共N行,每行N个整数,表示A的M次幂所对应的矩阵。相邻的数之间用一个空格隔开
样例输入
2 2
1 2
3 4
样例输出
7 10
15 22
def get_changeList(numList, size):
list1 = [[0 for _ in range(size)] for _ in range(size)]
for i in range(size):
for j in range(size):
list1[i][j] = numList[j][i]
return list1
def get_newList(numList, list1, size):
newList = [[0 for _ in range(size)] for _ in range(size)]
for i in range(size):
for j in range(size):
newList[i][j] = sum([numList[i][k] * list1[j][k] for k in range(size)])
return newList
if __name__ == '__main__':
alls = input().split(" ")
size = int(alls[0])
times = int(alls[1])
numList = [[int(i) for i in input().split(" ")] for _ in range(size)]
list1 = [[0 for _ in range(size)] for _ in range(size)]
for _ in range(times - 1):
list1 = get_changeList(numList, size)
numList = get_newList(numList, list1, size)
print(numList)