春遊坐車問題

【問題描述】有學生70人組織春遊，要租用大巴，每輛大巴可承載30人，至少要多少輛大巴可裝載所有學生？，請問每輛車要裝載多少學生才能讓每輛車的人數較為平均的分佈，請輸出每輛車的所載人數。
【解題思路】先求得最少需要多少輛大巴，得到大巴數目後需要儘量將學生平均分到所有大巴上，所以可以用整除運算來求得每輛車平均裝載人數。

student = 70; seat = 30
num = student // seat
r = student % seat
if r != 0:         #如果在學生坐滿大巴後還有一些學生
   num = num + 1
ave = student //
 
 num
if r == 0:         #如果學生恰好能將大巴都坐滿
    print(num,"buses. Each has ",ave," students.")
else:
    lastbus = student-(num-1)*ave
    print(num,"buses. One bus has ",lastbus," students.")
    print("Each of other buses has ",ave," students.")

求二維線性方程組

【問題描述】已知二維線性方程組如下，其中， a0 、a1 、b0 、b1 、c0和c1為已知，求未知量x和y的值。

#方程組係數
a0, b0 , c0 = 3, 1 ,4
a1, b1 , c1 = 0, -2, -1
#等式1兩邊同時擴大a1倍
a2, b2 , c2 = a0 * a1, b0 * a1, c0 * a1
#等式2兩邊同時擴大a0倍
a3, b3 , c3 = a1 * a0, b1 * a0, c1 * a0
#等式1減等式2
a , b, c = a2 -a3, b2 - b3, c2- c3
if ((b == 0) and (c == 0)):
    print("Infinite Solution!")
elif (b == 0):
    print("No Solution!")
elif (
 
a0 == 0): 
    y = c0 / b0
    x = (c1 - b1 * y) / a1
    print("x =%.2f , y = %.2f" % (x, y))
elif (a1 == 0):
    y = c1 / b1
    x = (c0 - b0 *y) / a0
    print("x =%.2f , y = %.2f" % (x, y))
else:
    y = c / b
    x = (c0 - b0 * y) / a0
    print("x = %.2f, y = %.2f" % (x, y))