cpp-algo-cases/chapter_divide_and_conquer/hanota.cpp

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2024-02-20 16:13:23 +08:00
/**
* File: hanota.cpp
* Created Time: 2023-07-17
* Author: krahets (krahets@163.com)
*/
#include "../utils/common.hpp"
/* <20>ƶ<EFBFBD>һ<EFBFBD><D2BB>Բ<EFBFBD><D4B2> */
void move(vector<int> &src, vector<int> &tar) {
// <20><> src <20><><EFBFBD><EFBFBD><EFBFBD>ó<EFBFBD>һ<EFBFBD><D2BB>Բ<EFBFBD><D4B2>
int pan = src.back();
src.pop_back();
// <20><>Բ<EFBFBD>̷<EFBFBD><CCB7><EFBFBD> tar <20><><EFBFBD><EFBFBD>
tar.push_back(pan);
}
/* <20><><EFBFBD>⺺ŵ<E2BABA><C5B5><EFBFBD><EFBFBD><EFBFBD><EFBFBD> f(i) */
void dfs(int i, vector<int> &src, vector<int> &buf, vector<int> &tar) {
// <20><> src ֻʣ<D6BB><CAA3>һ<EFBFBD><D2BB>Բ<EFBFBD>̣<EFBFBD><CCA3><EFBFBD>ֱ<EFBFBD>ӽ<EFBFBD><D3BD><EFBFBD><EFBFBD>Ƶ<EFBFBD> tar
if (i == 1) {
move(src, tar);
return;
}
// <20><><EFBFBD><EFBFBD><EFBFBD><EFBFBD> f(i-1) <20><><EFBFBD><EFBFBD> src <20><><EFBFBD><EFBFBD> i-1 <20><>Բ<EFBFBD>̽<EFBFBD><CCBD><EFBFBD> tar <20>Ƶ<EFBFBD> buf
dfs(i - 1, src, tar, buf);
// <20><><EFBFBD><EFBFBD><EFBFBD><EFBFBD> f(1) <20><><EFBFBD><EFBFBD> src ʣ<><CAA3>һ<EFBFBD><D2BB>Բ<EFBFBD><D4B2><EFBFBD>Ƶ<EFBFBD> tar
move(src, tar);
// <20><><EFBFBD><EFBFBD><EFBFBD><EFBFBD> f(i-1) <20><><EFBFBD><EFBFBD> buf <20><><EFBFBD><EFBFBD> i-1 <20><>Բ<EFBFBD>̽<EFBFBD><CCBD><EFBFBD> src <20>Ƶ<EFBFBD> tar
dfs(i - 1, buf, src, tar);
}
/* <20><><EFBFBD>⺺ŵ<E2BABA><C5B5><EFBFBD><EFBFBD><EFBFBD><EFBFBD> */
void solveHanota(vector<int> &A, vector<int> &B, vector<int> &C) {
int n = A.size();
// <20><> A <20><><EFBFBD><EFBFBD> n <20><>Բ<EFBFBD>̽<EFBFBD><CCBD><EFBFBD> B <20>Ƶ<EFBFBD> C
dfs(n, A, B, C);
}
/* Driver Code */
int main() {
// <20>б<EFBFBD>β<EFBFBD><CEB2><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ӷ<EFBFBD><D3B6><EFBFBD>
vector<int> A = {5, 4, 3, 2, 1};
vector<int> B = {};
vector<int> C = {};
cout << "<EFBFBD><EFBFBD>ʼ״̬<EFBFBD>£<EFBFBD>\n";
cout << "A =";
printVector(A);
cout << "B =";
printVector(B);
cout << "C =";
printVector(C);
solveHanota(A, B, C);
cout << "Բ<EFBFBD><EFBFBD><EFBFBD>ƶ<EFBFBD><EFBFBD><EFBFBD><EFBFBD>ɺ<EFBFBD><EFBFBD><EFBFBD>\n";
cout << "A =";
printVector(A);
cout << "B =";
printVector(B);
cout << "C =";
printVector(C);
return 0;
}