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61 lines
1.8 KiB
61 lines
1.8 KiB
/**
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* File: coin_change_greedy.cpp
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* Created Time: 2023-07-20
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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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/* 零钱兑换：贪心 */
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int coinChangeGreedy(vector<int> &coins, int amt) {
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// 假设 coins 列表有序
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int i = coins.size() - 1;
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int count = 0;
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// 循环进行贪心选择，直到无剩余金额
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while (amt > 0) {
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// 找到小于且最接近剩余金额的硬币
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while (i > 0 && coins[i] > amt) {
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i--;
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}
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// 选择 coins[i]
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amt -= coins[i];
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count++;
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}
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// 若未找到可行方案，则返回 -1
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return amt == 0 ? count : -1;
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}
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/* Driver Code */
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int main() {
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// 贪心：能够保证找到全局最优解
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vector<int> coins = {1, 5, 10, 20, 50, 100};
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int amt = 186;
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int res = coinChangeGreedy(coins, amt);
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cout << "\ncoins = ";
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printVector(coins);
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cout << "amt = " << amt << endl;
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cout << "凑到 " << amt << " 所需的最少硬币数量为 " << res << endl;
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// 贪心：无法保证找到全局最优解
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coins = {1, 20, 50};
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amt = 60;
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res = coinChangeGreedy(coins, amt);
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cout << "\ncoins = ";
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printVector(coins);
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cout << "amt = " << amt << endl;
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cout << "凑到 " << amt << " 所需的最少硬币数量为 " << res << endl;
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cout << "实际上需要的最少数量为 3 ，即 20 + 20 + 20" << endl;
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// 贪心：无法保证找到全局最优解
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coins = {1, 49, 50};
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amt = 98;
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res = coinChangeGreedy(coins, amt);
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cout << "\ncoins = ";
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printVector(coins);
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cout << "amt = " << amt << endl;
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cout << "凑到 " << amt << " 所需的最少硬币数量为 " << res << endl;
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cout << "实际上需要的最少数量为 2 ，即 49 + 49" << endl;
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return 0;
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}
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