python的回溯信息_基于Python的回溯算法
我試圖實現一個算法,它包含兩個整數n和k,其中n是一排的座位數,k是試圖坐在那一排的學生數。問題是每一個學生必須在兩邊至少有兩個座位。我所擁有的是一個生成所有子集的函數(一個0或1s的數組,1表示有人坐在那里),我把它發送給一個函數來檢查它是否是一個有效的子集。這是這個函數的代碼def process(a,num,n):
c = a.count('1')
#If the number of students sitting down (1s) is equal to the number k, check the subset
if(c == num):
printa = True
for i in range(0,n):
if(a[i] == '1'):
if(i == 0):
if( (a[i+1] == '0') and (a[i+2] == '0') ):
break
else:
printa = False
elif(i == 1):
if( (a[i-1] == '0') and (a[i+1] == '0') and (a[i+2] == '0') ):
break
else:
printa = False
elif(i == (n-1)):
if( (a[i-2] == '0') and (a[i-1] == '0') and (a[i+1] == '0') ):
break
else:
printa = False
elif(i == n):
if( (a[i-2] == '0') and (a[i-1] == '0') ):
break
else:
printa = False
else:
if( (a[i-2] == '0') and (a[i-1] == '0') and (a[i+1] == '0') and (a[i+2] == '0') ):
break
else:
printa = False
if(printa):
print a
else:
return
這段代碼適用于k和n的小輸入,但是如果我得到更高的值,我會得到一個列表外的索引錯誤,因為某些原因,我無法理解。
任何幫助都很好謝謝。
O輸入a是如下所示的列表['1','0','0','1','0'] # a valid subset for n=5 and k=2
['0','0','0','1','1'] # an invalid subset
編輯:
調用進程的代碼:'''
This function will recursivly call itself until it gets down to the leaves then sends that
subset to process function. It appends
either a 0 or 1 then calls itself
'''
def seatrec(arr,i,n,k):
if(i==n):
process(arr,k,n)
return
else:
arr.append("0")
seatrec(arr,i+1,n,k)
arr.pop()
arr.append("1")
seatrec(arr,i+1,n,k)
arr.pop()
return
'''
This is the starter function that sets up the recursive calls
'''
def seat(n,k):
q=[]
seat(q,0,n,k)
def main():
n=7
k=3
seat(n,k)
if __name__ == "__main__":
main()
如果我使用這些數字,我得到的錯誤是if( (a[i-2] == '0') and (a[i-1] == '0') and (a[i+1] == '0') ):
IndexError: list index out of range
總結
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