请给我个排列多张大小不一且不能做任何修改的矩形图片在一张宽固定可无限延长的平面上且这个平面面积最小的Python程序用可视化的窗口显示这过程
时间: 2023-06-17 12:05:34 浏览: 89
以下是一个简单的 Python 程序,使用 Pygame 库可视化排列多张大小不一的矩形图片在一张平面上的过程,使得平面面积最小。
```python
import pygame
import random
# 设置窗口大小和背景颜色
WINDOW_WIDTH = 800
WINDOW_HEIGHT = 600
BACKGROUND_COLOR = (255, 255, 255)
# 设置矩形的最大和最小宽高
MAX_RECT_WIDTH = 100
MAX_RECT_HEIGHT = 100
MIN_RECT_WIDTH = 50
MIN_RECT_HEIGHT = 50
# 生成随机的矩形
def generate_random_rects(num_rects):
rects = []
for i in range(num_rects):
rect_width = random.randint(MIN_RECT_WIDTH, MAX_RECT_WIDTH)
rect_height = random.randint(MIN_RECT_HEIGHT, MAX_RECT_HEIGHT)
rects.append(pygame.Rect(0, 0, rect_width, rect_height))
return rects
# 计算矩形排列的最小面积
def calculate_min_area(rects):
# 将矩形按宽度从大到小排序
rects_sorted = sorted(rects, key=lambda rect: rect.width, reverse=True)
# 初始化平面的高度和宽度
plane_width = rects_sorted[0].width
plane_height = rects_sorted[0].height
# 将第一个矩形放置在左上角
rects_sorted[0].x = 0
rects_sorted[0].y = 0
# 循环放置后续的矩形
for rect in rects_sorted[1:]:
# 判断当前矩形是否能够放入当前平面的最右侧
if rect.width <= WINDOW_WIDTH - plane_width:
rect.x = plane_width
rect.y = 0
plane_width += rect.width
plane_height = max(plane_height, rect.height)
else:
# 放置在新行的开头
rect.x = 0
rect.y = plane_height
plane_width = rect.width
plane_height += rect.height
return plane_width * plane_height
# 绘制矩形和平面
def draw_rects_and_plane(screen, rects):
# 绘制背景色
screen.fill(BACKGROUND_COLOR)
# 绘制矩形
for rect in rects:
pygame.draw.rect(screen, (0, 0, 0), rect)
# 绘制平面
pygame.draw.rect(screen, (255, 0, 0), pygame.Rect(0, 0, WINDOW_WIDTH, WINDOW_HEIGHT), 1)
# 更新屏幕
pygame.display.flip()
# 主程序
def main():
# 初始化 Pygame
pygame.init()
# 创建窗口
screen = pygame.display.set_mode((WINDOW_WIDTH, WINDOW_HEIGHT))
# 生成随机矩形
rects = generate_random_rects(10)
# 计算最小面积
min_area = calculate_min_area(rects)
# 绘制矩形和平面
draw_rects_and_plane(screen, rects)
# 显示面积
print("Minimum plane area: ", min_area)
# 等待退出
while True:
for event in pygame.event.get():
if event.type == pygame.QUIT:
pygame.quit()
return
if __name__ == '__main__':
main()
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