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A11413 | $Wrath$

时间限制1s

内存限制256MB

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题目描述

Hands that shed innocent blood! There are $n$ guilty people in a line, the $i$ -th of them holds a claw with length $L_{i}$ . 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 $j>=i-L_{i}$ . You are given lengths of the claws. You need to find the total number of alive people after the bell rings.

输入格式

The first line contains one integer $n$ ( $1<=n<=10^{6}$ ) — the number of guilty people. Second line contains $n$ space-separated integers $L_{1},L_{2},...,L_{n}$ ( $0<=L_{i}<=10^{9}$ ), where $L_{i}$ is the length of the $i$ -th person's claw.

输出格式

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

输入输出样例

输入 #1

4
0 1 0 10

输出 #1

输入 #2

2
0 0

输出 #2

输入 #3

10
1 1 3 0 0 0 2 1 0 3

输出 #3

C++ 编辑器

输入

输出