def pre_linkage_pies(df_input,title,columns,width='350px'):
'''
读入df，绘制该df所有时段的pie，返回pie的列表
'''
pies = []
df = value2cumsum(df_input,columns=columns)
for col in columns:
values = df[df['time'] == col].set_index('obj')['count'].sort_values(ascending=False)[:5]
chart = pie_radius(values,title,width=width,height='250px')
chart = Markup(chart.render_embed())
pies.append(chart)
return pies
