poj 2796 单调栈

本文介绍了一个新颖的数学理论,用于评估人生不同阶段的情绪价值。通过计算每日情绪值并结合时间段内的最小值来综合评价生活的质量。文章提供了具体的算法实现,帮助读者理解和应用这一理论。
Bill is developing a new mathematical theory for human emotions. His recent investigations are dedicated to studying how good or bad days influent people's memories about some period of life. 

A new idea Bill has recently developed assigns a non-negative integer value to each day of human life. 

Bill calls this value the emotional value of the day. The greater the emotional value is, the better the daywas. Bill suggests that the value of some period of human life is proportional to the sum of the emotional values of the days in the given period, multiplied by the smallest emotional value of the day in it. This schema reflects that good on average period can be greatly spoiled by one very bad day. 

Now Bill is planning to investigate his own life and find the period of his life that had the greatest value. Help him to do so.

Input

The first line of the input contains n - the number of days of Bill's life he is planning to investigate(1 <= n <= 100 000). The rest of the file contains n integer numbers a1, a2, ... an ranging from 0 to 106 - the emotional values of the days. Numbers are separated by spaces and/or line breaks.

Output

Print the greatest value of some period of Bill's life in the first line. And on the second line print two numbers l and r such that the period from l-th to r-th day of Bill's life(inclusive) has the greatest possible value. If there are multiple periods with the greatest possible value,then print any one of them.

Sample Input

6
3 1 6 4 5 2

Sample Output

60

3  5

改动了一点
#include<stdio.h>
#include<string.h>
#include<math.h>
int n;
const int N = 100000 + 5;
long long sum[100005];
struct Elem
{
	int value;
	int count;
};

Elem stack[N];
int main()
{
    int i,s,t,top;
    long long a,ans;
    while (scanf("%d",&n)==1)
    {
        top=0;
        stack[0].value = 0;
        stack[0].count = 0;
        sum[0]=0;
        ans=0;
        s=t=0;
        for (i=1;i<=n;i++)
        {
            scanf("%I64d",&a);
            sum[i]=sum[i-1]+a;
            while (top&&a<=stack[top].value) /// 单调递增栈的条件
            {
                if (ans<(sum[i-1]-sum[stack[top-1].count])*stack[top].value)
                {
                    ans=(sum[i-1]-sum[stack[top-1].count])*stack[top].value;
                    s=stack[top-1].count+1;
                    t=i-1;
                }
                top--;
            }
            top++;
            stack[top].value=a;/// a 进栈
            stack[top].count=i;///下标
        }
        while (top)
        {
            if (ans<=(sum[n]-sum[stack[top-1].count])*stack[top].value) //这里是<=才过的
            {
                ans=(sum[n]-sum[stack[top-1].count])*stack[top].value;
                s=stack[top-1].count+1;
                t=n;
            }
            top--;
        }
        printf("%I64d\n%d %d\n",ans,s,t);
    }
    return 0;
}


<pre name="code" class="cpp">#include<stdio.h>
#include<string.h>
#include<math.h>
int pos[100005],n;
long long stack[100005],sum[100005];
int main()
{
    int i,s,t,top;
    long long a,ans;
    while (scanf("%d",&n)==1)
    {
        top=0;
        stack[0]=0;
        pos[0]=0;
        sum[0]=0;
        ans=0;
        s=t=0;
        for (i=1;i<=n;i++ )
        {
            scanf("%I64d",&a);
            sum[i]=sum[i-1]+a;
            while (top&&a<=stack[top])
            {
                if (ans<(sum[i-1]-sum[pos[top-1]])*stack[top])
                {
                    ans=(sum[i-1]-sum[pos[top-1]])*stack[top];
                    s=pos[top-1]+1;
                    t=i-1;
                }
                top--;
            }
            top++;
            stack[top]=a;
            pos[top]=i;
        }
        while (top)
        {
            if (ans<=(sum[n]-sum[pos[top-1]])*stack[top]) //这里是<=才过的
            {
                ans=(sum[n]-sum[pos[top-1]])*stack[top];
                s=pos[top-1]+1;
                t=n;
            }
            top--;
        }
        printf("%I64d\n%d %d\n",ans,s,t);
    }
    return 0;
}




有点伤心啊 自己写不出来 交的别人的

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