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6177: [GESP202312 七级] 纸牌游戏
内存限制：256 MB
时间限制：2 S
题面：Markdown
评测方式：文本比较
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题目描述
你和小杨在玩一个纸牌游戏。 你和小杨各有 3 张牌，分别是 0、1、2 。你们要进行 N 轮游戏，每轮游戏双方都要出一张牌，并按 1 战胜 0，2 战胜 1，0 战胜 2 的规则决出胜负。第 i 轮的胜者可以获得 2×ai 分，败者不得分，如果双方出牌相同，则算平局，二人都可获得 ai 分（i=1,2,…,N） 。 玩了一会后，你们觉得这样太过于单调，于是双方给自己制定了不同的新规则。小杨会在整局游戏开始前确定自己全部 n 轮的出牌，并将他的全部计划告诉你；而你从第 2 轮开始，要么继续出上一轮出的牌，要么记一次“换牌”。游戏结束时，你换了 t 次牌，就要额外扣 b1+…+bt 分。 请计算出你最多能获得多少分。
输入格式
第一行一个整数 N，表示游戏轮数。 第二行 N 个用单个空格隔开的非负整数 a1,…,aN ，意义见题目描述。 第三行 N−1 个用单个空格隔开的非负整数 b1,⋯,bN-1 ，表示换牌的罚分，具体含义见题目描述。由于游戏进行 N 轮，所以你至多可以换 N−1 次牌。 第四行 N 个用单个空格隔开的整数 c1,,⋯,cN ，依次表示小杨从第 1 轮至第 N 轮出的牌。保证 ci∈0,1,2 。
输出格式
<span style="color:#404040;font-family:-apple-system, bl<x>inkMacSystemFont, "font-size:16px;background-color:#FFFFFF;">一行一个整数，表示你最多获得的分数。</span>
输入样例
复制
4 1 2 10 100 1 100 1 1 1 2 0
输出样例
复制
219
数据范围与提示
<p style="color:#404040;font-family:-apple-system, bl<x>inkMacSystemFont, "font-size:16px;background-color:#FFFFFF;"> <span style="font-weight:bolder;">样例解释 1</span> <br /> <p style="color:#404040;font-family:-apple-system, bl<x>inkMacSystemFont, "font-size:16px;background-color:#FFFFFF;"> 你可以第 <span class="katex" style="font-size:1.21em;line-height:1.2;font-family:KaTeX_Main, ""><span class="katex-html"><span class="strut"></span><span class="mord">1</span></span></span> 轮出 <span class="katex" style="font-size:1.21em;line-height:1.2;font-family:KaTeX_Main, ""><span class="katex-html"><span class="strut"></span><span class="mord">0</span></span></span>，并在第 <span class="katex" style="font-size:1.21em;line-height:1.2;font-family:KaTeX_Main, ""><span class="katex-html"><span class="strut" style="vertical-align:-0.1944em;"></span><span class="mord">2</span><span class="mpunct">,</span><span class="mspace"></span><span class="mord">3</span></span></span> 轮保持不变，如此输掉第 <span class="katex" style="font-size:1.21em;line-height:1.2;font-family:KaTeX_Main, ""><span class="katex-html"><span class="strut" style="vertical-align:-0.1944em;"></span><span class="mord">1</span><span class="mpunct">,</span><span class="mspace"></span><span class="mord">2</span></span></span> 轮，但在第 <span class="katex" style="font-size:1.21em;line-height:1.2;font-family:KaTeX_Main, ""><span class="katex-html"><span class="strut"></span><span class="mord">3</span></span></span> 轮中取胜，获得 <span class="katex" style="font-size:1.21em;line-height:1.2;font-family:KaTeX_Main, ""><span class="katex-html"><span class="strut" style="vertical-align:-0.0833em;"></span><span class="mord">2</span><span class="mspace"></span><span class="mbin">×</span><span class="mspace"></span><span class="strut"></span><span class="mord">10</span><span class="mspace"></span><span class="mrel">=</span><span class="mspace"></span><span class="strut"></span><span class="mord">20</span></span></span> 分； <br /> <p style="color:#404040;font-family:-apple-system, bl<x>inkMacSystemFont, "font-size:16px;background-color:#FFFFFF;"> 随后，你可以在第 <span class="katex" style="font-size:1.21em;line-height:1.2;font-family:KaTeX_Main, ""><span class="katex-html"><span class="strut"></span><span class="mord">4</span></span></span> 轮中以扣 <span class="katex" style="font-size:1.21em;line-height:1.2;font-family:KaTeX_Main, ""><span class="katex-html"><span class="strut"></span><span class="mord">1</span></span></span> 分为代价改出 <span class="katex" style="font-size:1.21em;line-height:1.2;font-family:KaTeX_Main, ""><span class="katex-html"><span class="strut"></span><span class="mord">1</span></span></span> ，并在第 <span class="katex" style="font-size:1.21em;line-height:1.2;font-family:KaTeX_Main, ""><span class="katex-html"><span class="strut"></span><span class="mord">4</span></span></span> 轮中取得胜利，获得 <span class="katex" style="font-size:1.21em;line-height:1.2;font-family:KaTeX_Main, ""><span class="katex-html"><span class="strut" style="vertical-align:-0.0833em;"></span><span class="mord">2</span><span class="mspace"></span><span class="mbin">×</span><span class="mspace"></span><span class="strut"></span><span class="mord">100</span><span class="mspace"></span><span class="mrel">=</span><span class="mspace"></span><span class="strut"></span><span class="mord">200</span></span></span> 分。 <br /> <p style="color:#404040;font-family:-apple-system, bl<x>inkMacSystemFont, "font-size:16px;background-color:#FFFFFF;"> 如此，你可以获得最高的总分 <span class="katex" style="font-size:1.21em;line-height:1.2;font-family:KaTeX_Main, ""><span class="katex-html"><span class="strut" style="vertical-align:-0.0833em;"></span><span class="mord">20</span><span class="mspace"></span><span class="mbin">+</span><span class="mspace"></span><span class="strut" style="vertical-align:-0.0833em;"></span><span class="mord">200</span><span class="mspace"></span><span class="mbin">−</span><span class="mspace"></span><span class="strut"></span><span class="mord">1</span><span class="mspace"></span><span class="mrel">=</span><span class="mspace"></span><span class="strut"></span><span class="mord">219</span></span></span>。 <br /> <p style="color:#404040;font-family:-apple-system, bl<x>inkMacSystemFont, "font-size:16px;background-color:#FFFFFF;"> <span style="font-weight:bolder;">数据范围</span> <br /> <p style="color:#404040;font-family:-apple-system, bl<x>inkMacSystemFont, "font-size:16px;background-color:#FFFFFF;"> 对于 <span class="katex" style="font-size:1.21em;line-height:1.2;font-family:KaTeX_Main, ""><span class="katex-html"><span class="strut" style="vertical-align:-0.0556em;"></span><span class="mord">30%</span></span></span> 的测试点，保证 <span class="katex" style="font-size:1.21em;line-height:1.2;font-family:KaTeX_Main, ""><span class="katex-html"><span class="strut" style="vertical-align:-0.0391em;"></span><span class="mord mathnormal" style="font-family:KaTeX_Math;font-style:italic;">N</span><span class="mspace"></span><span class="mrel"><=</span><span class="mspace"></span><span class="strut"></span><span class="mord">15</span></span></span>。 <br /> <p style="color:#404040;font-family:-apple-system, bl<x>inkMacSystemFont, "font-size:16px;background-color:#FFFFFF;"> 对于 <span class="katex" style="font-size:1.21em;line-height:1.2;font-family:KaTeX_Main, ""><span class="katex-html"><span class="strut" style="vertical-align:-0.0556em;"></span><span class="mord">60%</span></span></span> 的测试点，保证 <span class="katex" style="font-size:1.21em;line-height:1.2;font-family:KaTeX_Main, ""><span class="katex-html"><span class="strut" style="vertical-align:-0.0391em;"></span><span class="mord mathnormal" style="font-family:KaTeX_Math;font-style:italic;">N</span><span class="mspace"></span><span class="mrel"><=</span><span class="mspace"></span><span class="strut"></span><span class="mord">100</span></span></span>。 <br /> <p style="color:#404040;font-family:-apple-system, bl<x>inkMacSystemFont, "font-size:16px;background-color:#FFFFFF;"> 对于所有测试点，保证 <span class="katex" style="font-size:1.21em;line-height:1.2;font-family:KaTeX_Main, ""><span class="katex-html"><span class="strut" style="vertical-align:-0.136em;"></span><span class="mord mathnormal" style="font-family:KaTeX_Math;font-style:italic;">N</span><span class="mspace"></span><span class="mrel">≤</span><span class="mspace"></span><span class="strut" style="vertical-align:-0.1944em;"></span><span class="mord">1</span><span class="mpunct">,</span><span class="mspace"></span><span class="mord">000</span></span></span>；保证 <span class="katex" style="font-size:1.21em;line-height:1.2;font-family:KaTeX_Main, ""><span class="katex-html"><span class="strut" style="vertical-align:-0.136em;"></span><span class="mord">0</span><span class="mspace"></span><span class="mrel">≤</span><span class="mspace"></span><span class="strut" style="vertical-align:-0.1944em;"></span><span class="mord"><span class="mord mathnormal" style="font-family:KaTeX_Math;font-style:italic;">a</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="vertical-align:bottom;"><span><span class="pstrut"></span><span class="sizing reset-size6 size3 mtight" style="font-size:0.7em;"><span class="mord mathnormal mtight" style="font-family:KaTeX_Math;font-style:italic;">i</span></span></span></span><span class="vlist-s" style="vertical-align:bottom;font-size:1px;"></span></span><span class="vlist-r"><span class="vlist" style="vertical-align:bottom;"><span></span></span></span></span></span></span><span class="mpunct">,</span><span class="mspace"></span><span class="mord"><span class="mord mathnormal" style="font-family:KaTeX_Math;font-style:italic;">b</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="vertical-align:bottom;"><span><span class="pstrut"></span><span class="sizing reset-size6 size3 mtight" style="font-size:0.7em;"><span class="mord mathnormal mtight" style="font-family:KaTeX_Math;font-style:italic;">i</span></span></span></span><span class="vlist-s" style="vertical-align:bottom;font-size:1px;"></span></span><span class="vlist-r"><span class="vlist" style="vertical-align:bottom;"><span></span></span></span></span></span></span><span class="mspace"></span><span class="mrel">≤</span><span class="mspace"></span><span class="strut"></span><span class="mord">1</span><span class="mord"><span class="mord">0</span><span class="msupsub"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="vertical-align:bottom;"><span><span class="pstrut"></span><span class="sizing reset-size6 size3 mtight" style="font-size:0.7em;"><span class="mord mtight">6</span></span></span></span></span></span></span></span></span></span>。 <br />