50 lines
1.0 KiB
C++
50 lines
1.0 KiB
C++
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/**
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* File: climbing_stairs_dp.cpp
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* Created Time: 2023-06-30
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* Author: krahets (krahets@163.com)
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*/
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#include "../utils/common.hpp"
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/* <20><>¥<EFBFBD>ݣ<EFBFBD><DDA3><EFBFBD>̬<EFBFBD>滮 */
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int climbingStairsDP(int n) {
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if (n == 1 || n == 2)
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return n;
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// <20><>ʼ<EFBFBD><CABC> dp <20><><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ڴ洢<DAB4><E6B4A2><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ľ<EFBFBD>
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vector<int> dp(n + 1);
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// <20><>ʼ״̬<D7B4><CCAC>Ԥ<EFBFBD><D4A4><EFBFBD><EFBFBD>С<EFBFBD><D0A1><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ľ<EFBFBD>
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dp[1] = 1;
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dp[2] = 2;
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// ״̬ת<CCAC>ƣ<EFBFBD><C6A3>ӽ<EFBFBD>С<EFBFBD><D0A1><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ϴ<EFBFBD><CFB4><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
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for (int i = 3; i <= n; i++) {
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dp[i] = dp[i - 1] + dp[i - 2];
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}
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return dp[n];
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}
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/* <20><>¥<EFBFBD>ݣ<EFBFBD><DDA3>ռ<EFBFBD><D5BC>Ż<EFBFBD><C5BB><EFBFBD><EFBFBD>Ķ<EFBFBD>̬<EFBFBD>滮 */
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int climbingStairsDPComp(int n) {
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if (n == 1 || n == 2)
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return n;
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int a = 1, b = 2;
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for (int i = 3; i <= n; i++) {
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int tmp = b;
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b = a + b;
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a = tmp;
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}
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return b;
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}
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/* Driver Code */
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int main() {
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int n = 9;
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int res = climbingStairsDP(n);
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cout << "<EFBFBD><EFBFBD> " << n << " <20><>¥<EFBFBD>ݹ<EFBFBD><DDB9><EFBFBD> " << res << " <20>ַ<EFBFBD><D6B7><EFBFBD>" << endl;
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res = climbingStairsDPComp(n);
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cout << "<EFBFBD><EFBFBD> " << n << " <20><>¥<EFBFBD>ݹ<EFBFBD><DDB9><EFBFBD> " << res << " <20>ַ<EFBFBD><D6B7><EFBFBD>" << endl;
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return 0;
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}
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