71 lines
1.8 KiB
C++
71 lines
1.8 KiB
C++
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/**
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* File: coin_change.cpp
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* Created Time: 2023-07-11
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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><>Ǯ<EFBFBD>һ<EFBFBD><D2BB><EFBFBD><EFBFBD><EFBFBD>̬<EFBFBD>滮 */
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int coinChangeDP(vector<int> &coins, int amt) {
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int n = coins.size();
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int MAX = amt + 1;
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// <20><>ʼ<EFBFBD><CABC> dp <20><>
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vector<vector<int>> dp(n + 1, vector<int>(amt + 1, 0));
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// ״̬ת<CCAC>ƣ<EFBFBD><C6A3><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
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for (int a = 1; a <= amt; a++) {
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dp[0][a] = MAX;
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}
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// ״̬ת<CCAC>ƣ<EFBFBD><C6A3><EFBFBD><EFBFBD><EFBFBD><EFBFBD>к<EFBFBD><D0BA><EFBFBD>
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for (int i = 1; i <= n; i++) {
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for (int a = 1; a <= amt; a++) {
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if (coins[i - 1] > a) {
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// <20><><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ŀ<EFBFBD><C4BF><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EEA3AC><EFBFBD><EFBFBD>ѡӲ<D1A1><D3B2> i
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dp[i][a] = dp[i - 1][a];
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} else {
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// <20><>ѡ<EFBFBD><D1A1>ѡӲ<D1A1><D3B2> i <20><><EFBFBD><EFBFBD><EFBFBD>ַ<EFBFBD><D6B7><EFBFBD><EFBFBD>Ľ<EFBFBD>Сֵ
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dp[i][a] = min(dp[i - 1][a], dp[i][a - coins[i - 1]] + 1);
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}
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}
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}
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return dp[n][amt] != MAX ? dp[n][amt] : -1;
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}
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/* <20><>Ǯ<EFBFBD>һ<EFBFBD><D2BB><EFBFBD><EFBFBD>ռ<EFBFBD><D5BC>Ż<EFBFBD><C5BB><EFBFBD><EFBFBD>Ķ<EFBFBD>̬<EFBFBD>滮 */
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int coinChangeDPComp(vector<int> &coins, int amt) {
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int n = coins.size();
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int MAX = amt + 1;
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// <20><>ʼ<EFBFBD><CABC> dp <20><>
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vector<int> dp(amt + 1, MAX);
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dp[0] = 0;
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// ״̬ת<CCAC><D7AA>
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for (int i = 1; i <= n; i++) {
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for (int a = 1; a <= amt; a++) {
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if (coins[i - 1] > a) {
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// <20><><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ŀ<EFBFBD><C4BF><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EEA3AC><EFBFBD><EFBFBD>ѡӲ<D1A1><D3B2> i
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dp[a] = dp[a];
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} else {
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// <20><>ѡ<EFBFBD><D1A1>ѡӲ<D1A1><D3B2> i <20><><EFBFBD><EFBFBD><EFBFBD>ַ<EFBFBD><D6B7><EFBFBD><EFBFBD>Ľ<EFBFBD>Сֵ
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dp[a] = min(dp[a], dp[a - coins[i - 1]] + 1);
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}
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}
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}
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return dp[amt] != MAX ? dp[amt] : -1;
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}
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/* Driver code */
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int main() {
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vector<int> coins = {1, 2, 5};
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int amt = 4;
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// <20><>̬<EFBFBD>滮
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int res = coinChangeDP(coins, amt);
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cout << "<EFBFBD>յ<EFBFBD>Ŀ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ӳ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ϊ " << res << endl;
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// <20>ռ<EFBFBD><D5BC>Ż<EFBFBD><C5BB><EFBFBD><EFBFBD>Ķ<EFBFBD>̬<EFBFBD>滮
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res = coinChangeDPComp(coins, amt);
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cout << "<EFBFBD>յ<EFBFBD>Ŀ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ӳ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ϊ " << res << endl;
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return 0;
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}
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