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leetcode-problemset/leetcode-cn/originData/minimum-value-to-get-positive-step-by-step-sum.json
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{
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"question": {
"questionId": "1514",
"questionFrontendId": "1413",
"categoryTitle": "Algorithms",
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"title": "Minimum Value to Get Positive Step by Step Sum",
"titleSlug": "minimum-value-to-get-positive-step-by-step-sum",
"content": "<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>\n\n<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>\n\n<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>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [-3,2,-3,4,2]\n<strong>Output:</strong> 5\n<strong>Explanation: </strong>If you choose startValue = 4, in the third iteration your step by step sum is less than 1.\n<strong>step by step sum</strong>\n<strong>startValue = 4 | startValue = 5 | nums</strong>\n (4 <strong>-3</strong> ) = 1 | (5 <strong>-3</strong> ) = 2 | -3\n (1 <strong>+2</strong> ) = 3 | (2 <strong>+2</strong> ) = 4 | 2\n (3 <strong>-3</strong> ) = 0 | (4 <strong>-3</strong> ) = 1 | -3\n (0 <strong>+4</strong> ) = 4 | (1 <strong>+4</strong> ) = 5 | 4\n (4 <strong>+2</strong> ) = 6 | (5 <strong>+2</strong> ) = 7 | 2\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [1,2]\n<strong>Output:</strong> 1\n<strong>Explanation:</strong> Minimum start value should be positive. \n</pre>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [1,-2,-3]\n<strong>Output:</strong> 5\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= nums.length &lt;= 100</code></li>\n\t<li><code>-100 &lt;= nums[i] &lt;= 100</code></li>\n</ul>\n",
"translatedTitle": "逐步求和得到正数的最小值",
"translatedContent": "<p>给你一个整数数组 <code>nums</code>&nbsp;。你可以选定任意的&nbsp;<strong>正数</strong> startValue 作为初始值。</p>\n\n<p>你需要从左到右遍历 <code>nums</code>&nbsp;数组,并将 startValue 依次累加上&nbsp;<code>nums</code>&nbsp;数组中的值。</p>\n\n<p>请你在确保累加和始终大于等于 1 的前提下,选出一个最小的&nbsp;<strong>正数</strong>&nbsp;作为 startValue 。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1</strong></p>\n\n<pre>\n<strong>输入:</strong>nums = [-3,2,-3,4,2]\n<strong>输出:</strong>5\n<strong>解释:</strong>如果你选择 startValue = 4在第三次累加时和小于 1 。\n<strong> 累加求和\n&nbsp; startValue = 4 | startValue = 5 | nums\n</strong>&nbsp; (4 <strong>-3</strong> ) = 1 | (5 <strong>-3</strong> ) = 2 | -3\n&nbsp; (1 <strong>+2</strong> ) = 3 | (2 <strong>+2</strong> ) = 4 | 2\n&nbsp; (3 <strong>-3</strong> ) = 0 | (4 <strong>-3</strong> ) = 1 | -3\n&nbsp; (0 <strong>+4</strong> ) = 4 | (1 <strong>+4</strong> ) = 5 | 4\n&nbsp; (4 <strong>+2</strong> ) = 6 | (5 <strong>+2</strong> ) = 7 | 2\n</pre>\n\n<p><strong>示例 2</strong></p>\n\n<pre>\n<strong>输入:</strong>nums = [1,2]\n<strong>输出:</strong>1\n<strong>解释:</strong>最小的 startValue 需要是正数。\n</pre>\n\n<p><strong>示例 3</strong></p>\n\n<pre>\n<strong>输入:</strong>nums = [1,-2,-3]\n<strong>输出:</strong>5\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= nums.length &lt;= 100</code></li>\n\t<li><code>-100 &lt;= nums[i] &lt;= 100</code></li>\n</ul>\n",
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