洛谷 P2866 [USACO06NOV]糟糕的一天Bad Hair Day

题目描述

Some of Farmer John's N cows (1 ≤ N ≤ 80,000) are having a bad hair day! Since each cow is self-conscious about her messy hairstyle, FJ wants to count the number of other cows that can see the top of other cows' heads.

Each cow i has a specified height hi (1 ≤ hi ≤ 1,000,000,000) and is standing in a line of cows all facing east (to the right in our diagrams). Therefore, cow i can see the tops of the heads of cows in front of her (namely cows i+1, i+2, and so on), for as long as these cows are strictly shorter than cow i.

Consider this example:

= =

= - = Cows facing right -->

= = =

= - = = =

= = = = = =

1 2 3 4 5 6 Cow#1 can see the hairstyle of cows #2, 3, 4

Cow#2 can see no cow's hairstyle

Cow#3 can see the hairstyle of cow #4

Cow#4 can see no cow's hairstyle

Cow#5 can see the hairstyle of cow 6

Cow#6 can see no cows at all!

Let ci denote the number of cows whose hairstyle is visible from cow i; please compute the sum of c1 through cN.For this example, the desired is answer 3 + 0 + 1 + 0 + 1 + 0 = 5.

农民约翰的某N(1 < N < 80000)头奶牛正在过乱头发节！由于每头牛都意识到自己凌乱不堪的发型，约翰希望统计出能够看到其他牛的头发的牛的数量.

每一头牛i有一个高度所有N头牛面向东方排成一排，牛N在最前面，而牛1在最后面.第i头牛可以看到她前面的那些牛的头，只要那些牛的高度严格小于她的高度，而且中间没有比hi高或相等的奶牛阻隔.

让N表示第i头牛可以看到发型的牛的数量；请输出Ci的总和

输入输出格式

输入格式：

Line 1: The number of cows, N.

Lines 2..N+1: Line i+1 contains a single integer that is the height of cow i.

输出格式：

Line 1: A single integer that is the sum of c1 through cN.

输入输出样例

输入样例#1：

输出样例#1：

5

维护一个栈 比当前低的直接覆盖到比他次低的高度
然后统计和 
屠龙宝刀点击就送

#include <ctype.h>

#include <cstdio>

#define gt ch=getchar()

#define N 80010

void read(int &x)

{

    x=;bool f=;

    char ch;gt;

    while(!isdigit(ch))

    {

        if(ch=='-') f=;

        gt;

    }

    while(isdigit(ch))

    {

        x=x*+ch-'';

        gt;

    }

    x=f?(~x)+:x;

}

int n,h[N],top,stack[N];

int main()

{

    read(n);

    for(int i=;i<=n;i++) read(h[i]);

    h[n+]=<<;

    long long ans=;

    for(int i=;i<=n+;i++)

    {

        while(top&&h[stack[top]]<=h[i])

        {

            ans+=i-stack[top]-;

            top--;

        }

        stack[++top]=i;

    }

    printf("%lld",ans);

    return ;

}

巴特西

洛谷 P2866 [USACO06NOV]糟糕的一天Bad Hair Day

题目描述

输入输出格式

输入输出样例

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