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north-west(beta).py
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north-west(beta).py
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sums=0
sql=20
def north_west(tsil,row,col):
# print(row,col,row-1*col-1)
if (row-1)*(col-1)>2:
global sums
print(sql)
if tsil[row-1][0]>tsil[0][col-1]:
print(tsil[row-1][0],tsil[0][col-1])
sums+=tsil[0][0]*tsil[0][col-1]
print("partial sum: ",sums)
tsil[row-1][0]-=tsil[0][col-1]
list2=[[0 for i in range(col)]for j in range(row-1)]
for i in range(row-1):
for j in range(col):
list2[i][j]=tsil[i+1][j]
#removed row where supply is smaller
north_west(list2,row-1,col)
elif tsil[row-1][0]<tsil[0][col-1]:
print(tsil[row-1][0],tsil[0][col-1])
sums+=tsil[0][0]*tsil[row-1][0]
print("partial sum: ",sums)
tsil[0][col-1]-=tsil[row-1][0]
list2=[[0 for i in range(col-1)]for j in range(row)]
for i in range(row):
for j in range(col-1):
list2[i][j]=tsil[i][j+1]
#removed coloumn where demand is smaller
north_west(list2,row,col-1)
if (col-1)==2:
sums+=tsil[0][0]*tsil[1][0]+tsil[0][1]*tsil[1][1]
elif (row-1)==2:
sums+=tsil[0][0]*tsil[0][1]+tsil[1][0]*tsil[1][1]
print(sums)
rows=int(input("enter number of rows: "))
columns=int(input("enter number of columns: "))
list1=[[0 for i in range(columns)]for j in range(rows)]
for i in range(rows):
for j in range(columns):
list1[i][j]=int(input("enter value: "))
north_west(list1,rows,columns)