Initial commit for question 14

auntyellow · Nov 24, 2016 · 2251767 · 2251767
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diff --git a/14_CuttingRope/14_CuttingRope.vcxproj b/14_CuttingRope/14_CuttingRope.vcxproj
@@ -0,0 +1,150 @@
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+    <ProjectConfiguration Include="Debug|x64">
+      <Configuration>Debug</Configuration>
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diff --git a/14_CuttingRope/14_CuttingRope.vcxproj.filters b/14_CuttingRope/14_CuttingRope.vcxproj.filters
@@ -0,0 +1,22 @@
+<?xml version="1.0" encoding="utf-8"?>
+<Project ToolsVersion="4.0" xmlns="http://schemas.microsoft.com/developer/msbuild/2003">
+  <ItemGroup>
+    <Filter Include="Source Files">
+      <UniqueIdentifier>{4FC737F1-C7A5-4376-A066-2A32D752A2FF}</UniqueIdentifier>
+      <Extensions>cpp;c;cc;cxx;def;odl;idl;hpj;bat;asm;asmx</Extensions>
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+    <Filter Include="Header Files">
+      <UniqueIdentifier>{93995380-89BD-4b04-88EB-625FBE52EBFB}</UniqueIdentifier>
+      <Extensions>h;hh;hpp;hxx;hm;inl;inc;xsd</Extensions>
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+</Project>
diff --git a/14_CuttingRope/CuttingRope.cpp b/14_CuttingRope/CuttingRope.cpp
@@ -0,0 +1,174 @@
+//==================================================================
+// 《剑指Offer——名企面试官精讲典型编程题》代码
+// 著作权所有者：何海涛
+//==================================================================
+
+// 面试题14：剪绳子
+// 题目：给你一根长度为n绳子，请把绳子剪成m段（m、n都是整数，n>1并且m≥1）。
+// 每段的绳子的长度记为k[0]、k[1]、……、k[m]。k[0]*k[1]*…*k[m]可能的最大乘
+// 积是多少？例如当绳子的长度是8时，我们把它剪成长度分别为2、3、3的三段，此
+// 时得到最大的乘积18。
+
+#include <iostream>
+#include <cmath>
+
+int maxProductAfterCutting_solution1(int length)
+{
+    if (length < 2)
+        return 0;
+    if (length == 2)
+        return 1;
+    if (length == 3)
+        return 2;
+
+    int* products = new int[length + 1];
+    products[0] = 0;
+    products[1] = 1;
+    products[2] = 2;
+    products[3] = 3;
+
+    int max = 0;
+    for (int i = 4; i <= length; ++i)
+    {
+        max = 0;
+        for (int j = 1; j <= i / 2; ++j)
+        {
+            int product = products[j] * products[i - j];
+            if (max < product)
+                max = product;
+
+            products[i] = max;
+        }
+    }
+
+    max = products[length];
+    delete[] products;
+
+    return max;
+}
+
+int maxProductAfterCutting_solution2(int length)
+{
+    if (length < 2)
+        return 0;
+    if (length == 2)
+        return 1;
+    if (length == 3)
+        return 2;
+
+    int timesOf3 = length / 3;
+    if ((length - timesOf3 * 3) % 2 == 1)
+        timesOf3 -= 1;
+
+    int timesOf2 = (length - timesOf3 * 3) / 2;
+
+    return (int) (pow(3, timesOf3)) * (int) (pow(2, timesOf2));
+}
+
+// ====================测试代码====================
+void test(const char* testName, int length, int expected)
+{
+    int result1 = maxProductAfterCutting_solution1(length);
+    if (result1 == expected)
+        std::cout << "Solution1 for " << testName << " passed." << std::endl;
+    else
+        std::cout << "Solution1 for " << testName << " FAILED." << std::endl;
+
+    int result2 = maxProductAfterCutting_solution2(length);
+    if (result2 == expected)
+        std::cout << "Solution2 for " << testName << " passed." << std::endl;
+    else
+        std::cout << "Solution2 for " << testName << " FAILED." << std::endl;
+}
+
+void test1()
+{
+    int length = 1;
+    int expected = 0;
+    test("test1", length, expected);
+}
+
+void test2()
+{
+    int length = 2;
+    int expected = 1;
+    test("test2", length, expected);
+}
+
+void test3()
+{
+    int length = 3;
+    int expected = 2;
+    test("test3", length, expected);
+}
+
+void test4()
+{
+    int length = 4;
+    int expected = 4;
+    test("test4", length, expected);
+}
+
+void test5()
+{
+    int length = 5;
+    int expected = 6;
+    test("test5", length, expected);
+}
+
+void test6()
+{
+    int length = 6;
+    int expected = 9;
+    test("test6", length, expected);
+}
+
+void test7()
+{
+    int length = 7;
+    int expected = 12;
+    test("test7", length, expected);
+}
+
+void test8()
+{
+    int length = 8;
+    int expected = 18;
+    test("test8", length, expected);
+}
+
+void test9()
+{
+    int length = 9;
+    int expected = 27;
+    test("test9", length, expected);
+}
+
+void test10()
+{
+    int length = 10;
+    int expected = 36;
+    test("test10", length, expected);
+}
+
+void test11()
+{
+    int length = 50;
+    int expected = 86093442;
+    test("test11", length, expected);
+}
+
+int main(int agrc, char* argv[])
+{
+    test1();
+    test2();
+    test3();
+    test4();
+    test5();
+    test6();
+    test7();
+    test8();
+    test9();
+    test10();
+    test11();
+}
diff --git a/CodingInterviewChinese2.sln b/CodingInterviewChinese2.sln
@@ -36,6 +36,8 @@ Project("{8BC9CEB8-8B4A-11D0-8D11-00A0C91BC942}") = "12_StringPathInMatrix", "12
 EndProject
 Project("{8BC9CEB8-8B4A-11D0-8D11-00A0C91BC942}") = "13_RobotMove", "13_RobotMove\13_RobotMove.vcxproj", "{1FC7EAAC-57D1-4629-B842-CCFA002C4CCF}"
 EndProject
+Project("{8BC9CEB8-8B4A-11D0-8D11-00A0C91BC942}") = "14_CuttingRope", "14_CuttingRope\14_CuttingRope.vcxproj", "{FF7ED3B0-5CE4-4D7B-954A-9EE93936D9A1}"
+EndProject
 Global
 	GlobalSection(SolutionConfigurationPlatforms) = preSolution
 		Debug|Any CPU = Debug|Any CPU
@@ -198,6 +200,16 @@ Global
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 		{1FC7EAAC-57D1-4629-B842-CCFA002C4CCF}.Release|x86.ActiveCfg = Release|Win32
 		{1FC7EAAC-57D1-4629-B842-CCFA002C4CCF}.Release|x86.Build.0 = Release|Win32
+		{FF7ED3B0-5CE4-4D7B-954A-9EE93936D9A1}.Debug|Any CPU.ActiveCfg = Debug|Win32
+		{FF7ED3B0-5CE4-4D7B-954A-9EE93936D9A1}.Debug|x64.ActiveCfg = Debug|x64
+		{FF7ED3B0-5CE4-4D7B-954A-9EE93936D9A1}.Debug|x64.Build.0 = Debug|x64
+		{FF7ED3B0-5CE4-4D7B-954A-9EE93936D9A1}.Debug|x86.ActiveCfg = Debug|Win32
+		{FF7ED3B0-5CE4-4D7B-954A-9EE93936D9A1}.Debug|x86.Build.0 = Debug|Win32
+		{FF7ED3B0-5CE4-4D7B-954A-9EE93936D9A1}.Release|Any CPU.ActiveCfg = Release|Win32
+		{FF7ED3B0-5CE4-4D7B-954A-9EE93936D9A1}.Release|x64.ActiveCfg = Release|x64
+		{FF7ED3B0-5CE4-4D7B-954A-9EE93936D9A1}.Release|x64.Build.0 = Release|x64
+		{FF7ED3B0-5CE4-4D7B-954A-9EE93936D9A1}.Release|x86.ActiveCfg = Release|Win32
+		{FF7ED3B0-5CE4-4D7B-954A-9EE93936D9A1}.Release|x86.Build.0 = Release|Win32
 	EndGlobalSection
 	GlobalSection(SolutionProperties) = preSolution
 		HideSolutionNode = FALSE