POJ - 3250 Bad Hair Day 单调栈

it2026-09-26  11

Bad Hair Day Time Limit: 2000MS Memory Limit: 65536KTotal Submissions: 13562 Accepted: 4576

Description

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, 4Cow#2 can see no cow's hairstyleCow#3 can see the hairstyle of cow #4Cow#4 can see no cow's hairstyleCow#5 can see the hairstyle of cow 6Cow#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.

Input

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.

Output

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

Sample Input

6 10 3 7 4 12 2

Sample Output

5

Source

USACO 2006 November Silver

题目大意:从左往右,每个牛都有一个高度,他能看到右边低于他高度的牛,问总共能看到多少,,

反着想,看这个牛能被多少牛看到,要是左边的有比他低或等于他就不被看到,直接去掉就好,

ac代码

 

[cpp]  view plain  copy    print? #include<stdio.h>  #include<stack>  #include<string>  #include<iostream>  using namespace std;  int main()  {      int n;      while(scanf("%d",&n)!=EOF)      {          int a[100010];          int i;          __int64 ans=0;          stack<int>s;          for(i=0;i<n;i++)          {              scanf("%d",&a[i]);          }          for(i=0;i<n;i++)          {              while(!s.empty()&&s.top()<=a[i])                  s.pop();              ans+=s.size();              s.push(a[i]);          }          printf("%I64d\n",ans);      }  }  

转载于:https://www.cnblogs.com/yzm10/p/7197507.html

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