cf #446(div2) B

B. Wrath

time limit per test

2 seconds

memory limit per test

256 megabytes

input

standard input

output

standard output

Hands that shed innocent blood!

There are n guilty people in a line, the i-th of them holds a claw with length Li. The bell rings and every person kills some of people in front of him. All people kill others at the same time. Namely, the i-th person kills the j-th person if and only if j < i and j ≥ i - Li.

You are given lengths of the claws. You need to find the total number of alive people after the bell rings.

Input

The first line contains one integer n (1 ≤ n ≤ 106) — the number of guilty people.

Second line contains n space-separated integers L1, L2, ..., Ln (0 ≤ Li ≤ 109), where Li is the length of the i-th person's claw.

Output

Print one integer — the total number of alive people after the bell rings.

Examples

Input

Copy

4
0 1 0 10

Output

Copy

1

Input

Copy

2
0 0

Output

Copy

2

Input

Copy

10
1 1 3 0 0 0 2 1 0 3

Output

Copy

3

Note

In first sample the last person kills everyone in front of him.

题目链接:http://codeforces.com/contest/892/problem/B

题意:有n个人,每个人都有一个伤害范围是ai的,只能是后面一个杀前面一个而且前面的人在后面的人的伤害范围内。问最后还剩多少人。

从最后一个人(肯定存活)从前开始枚举,每次取伤害范围最大的。

#include<iostream>
#include<cstdio>
#include<algorithm>
#include<cstring>
using namespace std;

typedef long long ll;
const int maxn = 1e6+5;

int a[maxn];

int main()
{
    int n;
    while(~scanf("%d", &n))
    {
        for(int i = 1; i <= n; i++)
            scanf("%d", a+i);
        int ans = a[n];
        int sum = 1;
        for(int i = n-1; i > 0; i--)
        {
            if(ans == 0)
                sum ++;
            ans = max(ans-1, a[i]); // -1是跟前面的一个人比较伤害范围
        }
        printf("%d\n", sum);        
    }
    return 0;
 } 

猜你喜欢

转载自blog.csdn.net/qq_38295645/article/details/81429220