(单调队列) Bad Hair Day -- POJ -- 3250

时间:2023-01-18 08:25:52

http://poj.org/problem?id=3250

Bad Hair Day
Time Limit: 2000MS   Memory Limit: 65536K
Total Submissions: 15956   Accepted: 5391

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 ≤ h≤ 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.

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 c1 through cN.

Sample Input

6
10
3
7
4
12
2

Sample Output

5

Source

#include<stdio.h>
#define N 80010 int Stack[N]; int main()
{
int top = , i, n, p;
__int64 sum = ; scanf("%d", &n); for(i=; i<=n; i++)
{
scanf("%d", &p);
while(top> && Stack[top]<=p)
top--;
sum += top;
Stack[++top] = p;
} printf("%I64d\n", sum);
return ;
}