1.今天学习了一个简单的求最大连续子数组的问题,给定一个数组A[0,…,n-1],求A的连续子数 组,使得该子数组的和最大。例如:数组: 1, -2, 3, 10, -4, 7, 2, -5
Python暴力求解法:
dest_arry = [1,-2,3,10,-4,7,-2,5,12] max_val = dest_arry[0] cuur_val = 0 start = 0 end = 0 print (len(dest_arry)) count = len(dest_arry) #暴力法 for i in range(0, count): for j in range(i, count): cuur_val = 0 for k in range(i, j+1): #这个需要特别注意,在这里这句话的意思相当于是for( k=i,k<(j+1),k++),在python中没有'<='这个符号 cuur_val = cuur_val + dest_arry[k] if(cuur_val > max_val): max_val = cuur_val start = i end = k print (max_val, start,end)
Python分治法:
#分治法 dest_arry = [1,-2,3,10,-4,7,-2,5,12] max_val = dest_arry[0] cuur_val = 0 start = 0 end = 0 print (len(dest_arry)) count = len(dest_arry) def max_sub_add(fr, to): global start global end if fr == to: return dest_arry[fr] mid = int((fr + to)/2) m1 = max_sub_add(fr, mid) m2 = max_sub_add(mid+1, to) left = dest_arry[mid] now = dest_arry[mid] i = mid - 1 while(i>=fr): now = now + dest_arry[i] if(now > left): left = now start = i i = i - 1 right = dest_arry[mid+1] now = dest_arry[mid+1] i = mid+2 while(i <= to): now = now + dest_arry[i] if (now> right): right = now end = i i = i + 1 # for i in range(mid+2, to+1): # now = now + dest_arry[i] # if (now> right): # right = now # end = i m3 = right + left return max(m1, m2, m3) start = 0 end = 0 result = max_sub_add(0, (count)-1) print(result, start, end)
C/C++暴力法:
#include "stdio.h" #include "stdlib.h" void baoli() { int dest_arry[] = {1,-2,3,10,-4,7,-2,5,-12}; int max_val = dest_arry[0] , cuur_val = 0, start_nbr = 0, end_nbr = 0; int count = sizeof(dest_arry) / sizeof(int); int i = 0, j = 0, k = 0; printf("count: %d \n", count); for( i = 0; i < count; i++) { for (j=i;jmax_val) { max_val = cuur_val; start_nbr = i; end_nbr = k; } } } } printf("start: %d end_nbr: %d max_val: %d\n", start_nbr, end_nbr, max_val); } int main() { baoli(); }