atcoder它A Mountaineer

Time limit : 2sec / Stack limit : 256MB / Memory limit : 256MB

Problem

Dave is a mountaineer. He is now climbing a range of mountains.

On this mountains, there are N huts located on a straight lining from east to west..

The huts are numbered sequentially from 1 to N. The west most hut is 1, the east most hut is N. The i-th hut is located at an elevation of hi meters.

Dave wants to know how many huts he can look down and see from each hut.

He can see the j-th hut from the i-th hut if all huts between the i-th hut and the j-th hut including the j-th one are located at equal or lower elevation than hi.

Note that the i-th hut itself is not included in the hut he can see from the i-th hut.

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Input

The input will be given in the following format from the Standard Input.

N
h1
h2
:
hN

• On the first line, you will be given N(1≦N≦105), the number of huts.
• Then N lines follow, each of which contains hi(1≦hi≦105) the elevation of the i-th hut.

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Achievements and Points

Your answer will be checked for two levels.

• When you pass every test case which satisfies 1≦N≦3,000, you will be awarded 30 points.
• In addition, if you pass all the rest test cases which satisfy 1≦N≦105, you will be awarded 70 more points, summed up to 100points.

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Output

On the i-th line, output the number of huts Dave can see from the i-th hut. Make sure to insert a line break at the end of the output.

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Input Example 1

3
1
2
3

Output Example 1

0
1
2

From each hut he can see every huts on the west.

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Input Example 2

5
1
2
3
2
1

Output Example 2

0
1
4
1
0

From the 1st and 5th hut he can't see any other huts.

From the 2nd hut he can only see the 1st hut.

From the 4th hut he can only see the 5th hut.

From the 3rd hut he can see every other huts.

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Input Example 3

5
3
2
1
2
3

Output Example 3

4
2
0
2
4

Note that he can see the huts on the equal elevation.

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Input Example 4

8
4
3
2
3
4
3
2
1

Output Example 4

7
2
0
2
7
2
1
0

思路：本题是个简单题，我却一直面对大数据时TLE。直接上TLE源代码

import java.util.Scanner;
 
public class Main {
	public static void main(String[] args) {
		Scanner sc = new Scanner(System.in);
		int count = sc.nextInt();
		int num[] = new int[count];
		int flag[] = new int[count];
		for (int i = 0; i < count; i++) {
			num[i] = sc.nextInt();
		}
		for (int i = 0; i < count; i++) {
			for (int j = i - 1; j >= 0 && num[i] >= num[j]; j--,flag[i]++);
			for (int j = i + 1; j < count && num[i] >= num[j]; j++,flag[i]++);
			System.out.println(flag[i]);
 
		}
	}
}

以下是AC源代码。依据上面的源代码做了一定程度上的优化。从某种程度上来说，更改了部分思路，和https://oj.leetcode.com/problems/candy/有点像。

import java.util.Scanner;

public class Main {
	public static void main(String[] args) {
		Scanner sc = new Scanner(System.in);
		int count = sc.nextInt();
		int num[] = new int[count];
		int[] back = new int[count];
		int[] forward = new int[count];
		for (int i = 0; i < count; i++) {
			num[i] = sc.nextInt();
		}
		for (int i = 0; i < count; i++) {
			for (int j = i - 1; j >= 0 && num[i] >= num[j]; 
					back[i] = back[i]+ back[j] + 1, j = j - back[j] - 1);
		}
		for (int i = count - 1; i >= 0; i--) {
			for (int j = i + 1; j < count && num[i] >= num[j];
					forward[i] = forward[i]+ forward[j] + 1, j = j + forward[j] + 1);
		}
		for (int i = 0; i < count; i++) {
			System.out.println(back[i] + forward[i]);
		}
	}
}

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