poj 3250 Bad Hair Day
| Time Limit: 2000MS | Memory Limit: 65536K | |
| Total Submissions: 10031 | Accepted: 3326 |
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, 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
Lines 2..N+1: Line i+1 contains a single integer that is the height of cow i.
Output
Sample Input
6 10 3 7 4 12 2
Sample Output
5
#include<iostream> using namespace std; int h[80010]; int r[80010]; __int64 mmax; void cal(int m) { memset(r, 0, sizeof(r)); mmax = 0; int i = 0; for(i = 1; i <= m; ++i) { r[i] = i; } for(i = m; i >= 1; --i) { while(h[r[i]+1] < h[i]) r[i] = r[r[i]+1]; } for(i = 1; i <= m; ++i) { mmax += (r[i] - i); } } int main() { int n; int i; // freopen("E:\\c++\\oj\\t.txt", "r", stdin); // freopen("E:\\c++\\oj\\out.txt", "w", stdout); while(cin>>n) { for(i = 1; i <= n; ++i) { scanf("%d",&h[i]); } h[0] = h[n+1] = INT_MAX; cal(n); } cout<<mmax<<endl; }
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