5982: Optimize!

内存限制:256 MB 时间限制:2 S 标准输入输出
题目类型:传统 评测方式:文本比较 上传者:
提交:0 通过:0

题目描述

E. Optimize!
time limit per test
2 seconds
memory limit per test
256 megabytes
input
standard input
output
standard output
Manao is solving a problem with the following statement:
He came up with a solution that produces the correct answers but is too slow. You are given the pseudocode of his solution, where the function getAnswer calculates the answer to the problem:
getAnswer(a[1..n], b[1..len], h)
 answer = 0
 for i = 1 to n-len+1
 answer = answer + f(a[i..i+len-1], b, h, 1)
 return answer

f(s[1..len], b[1..len], h, index)
 if index = len+1 then
 return 1
 for i = 1 to len
 if s[index] + b[i] >= h
 mem = b[i]
 b[i] = 0
 res = f(s, b, h, index + 1)
 b[i] = mem
 if res > 0
 return 1
 return 0
Your task is to help Manao optimize his algorithm.
Input
The first line contains space-separated integers n, len and h (1≤lenn≤150000;1≤h≤109). The second line contains len space-separated integers b1,b2,...,blen (1≤bi≤109). The third line contains n space-separated integers a1,a2,...,an (1≤ai≤109).
Output
Print a single number − the answer to Manao's problem.
Examples
Input
5 2 10
5 3
1 8 5 5 7
Output
2

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