# [Poi2014]Around the world

时间限制：80s 空间限制：24MB

### 题目描述

After trying hard for many years, Byteasar has finally received a pilot license. To celebrate the fact, he intends to buy himself an airplane and fly around the planet 3-SATurn (as you may have guessed, this is the planet on which Byteotia is located). Specifically, Byteasar plans to fly along the equator. Unfortunately, the equator is rather long, necessitating refuels. The flight range (on full tank) of each aircraft is known. There is a number of airports along the equator, and a plane can be refueled when it lands on one. Since buying an airplane is a big decision, Byteasar asks your help. He is about to present you with a list of different plane models he is considering. Naturally, these differ in their flight range. For each plane model, he would like to know the minimum number of landings (including the final one) he would have to make in order to complete the journey. Note that for each airplane model, the journey may start at a different airport.

通过几年的努力，Byteasar最终拿到了飞行员驾驶证。为了庆祝这一事实，他打算买一架飞机并且绕Byteotia星球赤道飞行一圈。但不幸的是赤道非常长所以需要中途加几次油。现在已知赤道上面所有飞机场，所有飞机从飞机场起飞降落也可以加油。因为买飞机是个十分重大的决定，Byteasar决定寻求你的帮助。他将会让你模拟不同的飞行路线。自然这些飞机一次能走的航程是不同的。对于每次模拟，他想要知道最少需要降落多少次（包括最后一次）。需要注意的是起点可以任意选取。

### 输入格式

### 输出格式

### 样例输入

6 4 2 2 1 3 3 1 3 2 4 11

### 样例输出

4 NIE 3 2

### 提示

### 题目来源

没有写明来源