CF257D.Sum

普及+/提高

通过率:0%

时间限制:2.00s

内存限制:256MB

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题目描述

Vasya has found a piece of paper with an array written on it. The array consists of n integers _a_1, _a_2, ..., a__n. Vasya noticed that the following condition holds for the array a__i ≤ a__i + 1 ≤ 2·a__i for any positive integer i (i < n).

Vasya wants to add either a "+" or a "-" before each number of array. Thus, Vasya will get an expression consisting of n summands. The value of the resulting expression is the sum of all its elements. The task is to add signs "+" and "-" before each number so that the value of expression s meets the limits 0 ≤ s ≤ _a_1. Print a sequence of signs "+" and "-", satisfying the given limits. It is guaranteed that the solution for the problem exists.

瓦西娅发现了一张写有数组的纸。该数组由 nn 个整数 a1, a2, …, ana_1,\,a_2,\,\dots,\,a_n 组成。瓦西娅注意到,该数组满足如下条件:对任意正整数 ii(其中 i<ni < n),均有 ai≤ai+1≤2⋅aia_i \le a_{i+1} \le 2\cdot a_i。

瓦西娅希望在数组的每个数前添加一个 “+” 或 “−” 号。这样,他将得到一个由 nn 项组成的表达式。该表达式的值即为其所有项之和。任务是为每个数添加 “+” 或 “−” 号,使得表达式的值 ss 满足 0≤s≤a10 \le s \le a_1。请输出一个满足上述限制的 “+” 和 “−” 号序列。题目保证该问题存在解。

输入格式

The first line contains integer n (1 ≤ n ≤ 105) — the size of the array. The second line contains space-separated integers _a_1, _a_2, ..., a__n (0 ≤ a__i ≤ 109) — the original array.

It is guaranteed that the condition a__i ≤ a__i + 1 ≤ 2·a__i fulfills for any positive integer i (i < n).

第一行包含一个整数 nn(1≤n≤1051 \leq n \leq 10^5)—— 数组的大小。
第二行包含 nn 个用空格分隔的整数 a1,a2,…,ana_1, a_2, \dots, a_n(0≤ai≤1090 \leq a_i \leq 10^9)—— 原始数组。

保证对任意正整数 ii(i<ni < n),均满足条件 ai≤ai+1≤2⋅aia_i \leq a_{i+1} \leq 2 \cdot a_i。

输出格式

In a single line print the sequence of n characters "+" and "-", where the i-th character is the sign that is placed in front of number a__i. The value of the resulting expression s must fit into the limits 0 ≤ s ≤ _a_1. If there are multiple solutions, you are allowed to print any of them.

在一行中输出由 n 个字符 "+" 和 "-" 组成的序列,其中第 i 个字符是放在数字 a__i 前面的符号。最终表达式 s 的值必须满足 0 ≤ s ≤ _a_1。若存在多个解,输出任意一个即可。

输入输出样例

  • 输入#1

    4
    1 2 3 5

    输出#1

    +++-
  • 输入#2

    3
    3 3 5

    输出#2

    ++-

输入解题思路,AI测评打分。不知道怎么写?

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