A13344 | Array Shrinking
时间限制1s
内存限制256MB
通过 / 提交0/0
题目描述
You are given an array $a_1, a_2, \dots, a_n$ . You can perform the following operation any number of times:
- Choose a pair of two neighboring equal elements $a_i = a_{i + 1}$ (if there is at least one such pair).
- Replace them by one element with value $a_i + 1$ .
After each such operation, the length of the array will decrease by one (and elements are renumerated accordingly). What is the minimum possible length of the array $a$ you can get?
- Choose a pair of two neighboring equal elements $a_i = a_{i + 1}$ (if there is at least one such pair).
- Replace them by one element with value $a_i + 1$ .
After each such operation, the length of the array will decrease by one (and elements are renumerated accordingly). What is the minimum possible length of the array $a$ you can get?
输入格式
The first line contains the single integer $n$ ( $1 \le n \le 500$ ) — the initial length of the array $a$ .
The second line contains $n$ integers $a_1, a_2, \dots, a_n$ ( $1 \le a_i \le 1000$ ) — the initial array $a$ .
The second line contains $n$ integers $a_1, a_2, \dots, a_n$ ( $1 \le a_i \le 1000$ ) — the initial array $a$ .
输出格式
Print the only integer — the minimum possible length you can get after performing the operation described above any number of times.
输入输出样例
输入 #1
5 4 3 2 2 3
输出 #1
2
输入 #2
7 3 3 4 4 4 3 3
输出 #2
2
输入 #3
3 1 3 5
输出 #3
3
输入 #4
1 1000
输出 #4
1
In the first test, this is one of the optimal sequences of operations: $4$ $3$ $2$ $2$ $3$ $\rightarrow$ $4$ $3$ $3$ $3$ $\rightarrow$ $4$ $4$ $3$ $\rightarrow$ $5$ $3$ .
In the second test, this is one of the optimal sequences of operations: $3$ $3$ $4$ $4$ $4$ $3$ $3$ $\rightarrow$ $4$ $4$ $4$ $4$ $3$ $3$ $\rightarrow$ $4$ $4$ $4$ $4$ $4$ $\rightarrow$ $5$ $4$ $4$ $4$ $\rightarrow$ $5$ $5$ $4$ $\rightarrow$ $6$ $4$ .
In the third and fourth tests, you can't perform the operation at all.
In the second test, this is one of the optimal sequences of operations: $3$ $3$ $4$ $4$ $4$ $3$ $3$ $\rightarrow$ $4$ $4$ $4$ $4$ $3$ $3$ $\rightarrow$ $4$ $4$ $4$ $4$ $4$ $\rightarrow$ $5$ $4$ $4$ $4$ $\rightarrow$ $5$ $5$ $4$ $\rightarrow$ $6$ $4$ .
In the third and fourth tests, you can't perform the operation at all.
C++ 编辑器
输入
输出
可保存默认模板；新题优先使用已保存模板。
当前快捷键仅展示，暂不支持修改。
- 撤销
Ctrl / ⌘ + Z - 重做
Ctrl / ⌘ + Y - 查找
Ctrl / ⌘ + F - 全选
Ctrl / ⌘ + A - 复制
Ctrl / ⌘ + C - 剪切
Ctrl / ⌘ + X - 粘贴
Ctrl / ⌘ + V - 自动排版
工具栏排版按钮 - 草稿保存
编辑时自动保存到本机
历史
提交记录
状态说明时间源码
AI
作答助手
你好，我是作答助手。可以问思路、复杂度、样例含义或代码报错原因；不会直接给出完整 AC 代码。
确定要清空代码吗？
提交通过
评测结果：Accepted