剑指offer(14)-最大子向量和 九度1372 | Acm之家



剑指offer(14)-最大子向量和 九度1372 | Acm之家

HZ偶尔会拿些专业问题来忽悠那些非计算机专业的同学。今天JOBDU测试组开完会后,他又发话了:在古老的一维模式识别中,常常需要计算连续子向量的最大和,当向量全为正数的时候,问题很好解决。但是,如果向量中包含负数,是否应该包含某个负数,并期望旁边的正数会弥补它呢?例如:{6,-3,-2,7,-15,1,2,2},连续子向量的最大和为8(从第0个开始,到第3个为止)。你会不会被他忽悠住?
输入:
输入有多组数据,每组测试数据包括两行。第一行为一个整数n(0<=n<=100000),当n=0时,输入结束。接下去的一行包含n个整数(我们保证所有整数属于[-1000,1000])。
输出:
对应每个测试案例,需要输出3个整数单独一行,分别表示连续子向量的最大和、该子向量的第一个元素的下标和最后一个元素的下标。若是存在多个子向量,则输出起始元素下标最小的那个。
样例输入:
3 -1 -3 -2 5 -8 3 2 0 5 8 6 -3 -2 7 -15 1 2 2 0
样例输出:
-1 0 0 10 1 4 8 0 3

其实也就是常见的连续子数组的最大和。可以发现规律,只要当前字段的和大于0,就可以一直加下去。


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