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https://github.com/krahets/hello-algo.git
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e720aa2d24
* Sync recent changes to the revised Word. * Revised the preface chapter * Revised the introduction chapter * Revised the computation complexity chapter * Revised the chapter data structure * Revised the chapter array and linked list * Revised the chapter stack and queue * Revised the chapter hashing * Revised the chapter tree * Revised the chapter heap * Revised the chapter graph * Revised the chapter searching * Reivised the sorting chapter * Revised the divide and conquer chapter * Revised the chapter backtacking * Revised the DP chapter * Revised the greedy chapter * Revised the appendix chapter * Revised the preface chapter doubly * Revised the figures
75 lines
2.0 KiB
C
75 lines
2.0 KiB
C
/**
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* File: hanota.c
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* Created Time: 2023-10-01
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* Author: Zuoxun (845242523@qq.com), lucas(superrat6@gmail.com)
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*/
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#include "../utils/common.h"
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// 假设最多有 1000 个排列
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#define MAX_SIZE 1000
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/* 移动一个圆盘 */
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void move(int *src, int *srcSize, int *tar, int *tarSize) {
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// 从 src 顶部拿出一个圆盘
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int pan = src[*srcSize - 1];
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src[*srcSize - 1] = 0;
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(*srcSize)--;
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// 将圆盘放入 tar 顶部
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tar[*tarSize] = pan;
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(*tarSize)++;
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}
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/* 求解汉诺塔问题 f(i) */
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void dfs(int i, int *src, int *srcSize, int *buf, int *bufSize, int *tar, int *tarSize) {
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// 若 src 只剩下一个圆盘，则直接将其移到 tar
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if (i == 1) {
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move(src, srcSize, tar, tarSize);
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return;
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}
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// 子问题 f(i-1) ：将 src 顶部 i-1 个圆盘借助 tar 移到 buf
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dfs(i - 1, src, srcSize, tar, tarSize, buf, bufSize);
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// 子问题 f(1) ：将 src 剩余一个圆盘移到 tar
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move(src, srcSize, tar, tarSize);
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// 子问题 f(i-1) ：将 buf 顶部 i-1 个圆盘借助 src 移到 tar
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dfs(i - 1, buf, bufSize, src, srcSize, tar, tarSize);
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}
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/* 求解汉诺塔问题 */
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void solveHanota(int *A, int *ASize, int *B, int *BSize, int *C, int *CSize) {
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// 将 A 顶部 n 个圆盘借助 B 移到 C
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dfs(*ASize, A, ASize, B, BSize, C, CSize);
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}
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/* Driver Code */
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int main() {
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// 列表尾部是柱子顶部
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int a[] = {5, 4, 3, 2, 1};
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int b[MAX_SIZE] = {0};
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int c[MAX_SIZE] = {0};
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int ASize = sizeof(a) / sizeof(a[0]);
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int BSize = 0;
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int CSize = 0;
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printf("\n初始状态下：");
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printf("\nA = ");
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printArray(a, ASize);
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printf("B = ");
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printArray(b, BSize);
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printf("C = ");
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printArray(c, CSize);
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solveHanota(a, &ASize, b, &BSize, c, &CSize);
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printf("\n圆盘移动完成后：");
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printf("A = ");
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printArray(a, ASize);
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printf("B = ");
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printArray(b, BSize);
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printf("C = ");
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printArray(c, CSize);
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return 0;
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}
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