国外版

算法题（国外版）/minimum-value-to-get-positive-step-by-step-sum.html

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+<p>Given an array of integers&nbsp;<code>nums</code>, you start with an initial <strong>positive</strong> value <em>startValue</em><em>.</em></p>
+
+<p>In each iteration, you calculate the step by step sum of <em>startValue</em>&nbsp;plus&nbsp;elements in <code>nums</code>&nbsp;(from left to right).</p>
+
+<p>Return the minimum <strong>positive</strong> value of&nbsp;<em>startValue</em> such that the step by step sum is never less than 1.</p>
+
+<p>&nbsp;</p>
+<p><strong>Example 1:</strong></p>
+
+<pre>
+<strong>Input:</strong> nums = [-3,2,-3,4,2]
+<strong>Output:</strong> 5
+<strong>Explanation: </strong>If you choose startValue = 4, in the third iteration your step by step sum is less than 1.
+<strong>step by step sum</strong>
+<strong>startValue = 4 | startValue = 5 | nums</strong>
+  (4 <strong>-3</strong> ) = 1  | (5 <strong>-3</strong> ) = 2    |  -3
+  (1 <strong>+2</strong> ) = 3  | (2 <strong>+2</strong> ) = 4    |   2
+  (3 <strong>-3</strong> ) = 0  | (4 <strong>-3</strong> ) = 1    |  -3
+  (0 <strong>+4</strong> ) = 4  | (1 <strong>+4</strong> ) = 5    |   4
+  (4 <strong>+2</strong> ) = 6  | (5 <strong>+2</strong> ) = 7    |   2
+</pre>
+
+<p><strong>Example 2:</strong></p>
+
+<pre>
+<strong>Input:</strong> nums = [1,2]
+<strong>Output:</strong> 1
+<strong>Explanation:</strong> Minimum start value should be positive. 
+</pre>
+
+<p><strong>Example 3:</strong></p>
+
+<pre>
+<strong>Input:</strong> nums = [1,-2,-3]
+<strong>Output:</strong> 5
+</pre>
+
+<p>&nbsp;</p>
+<p><strong>Constraints:</strong></p>
+
+<ul>
+	<li><code>1 &lt;= nums.length &lt;= 100</code></li>
+	<li><code>-100 &lt;= nums[i] &lt;= 100</code></li>
+</ul>