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g0301_0400.s0322_coin_change.Solution.cpp Maven / Gradle / Ivy

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// #Medium #Top_100_Liked_Questions #Array #Dynamic_Programming #Breadth_First_Search
// #Algorithm_II_Day_18_Dynamic_Programming #Dynamic_Programming_I_Day_20
// #Level_2_Day_12_Dynamic_Programming #Big_O_Time_O(m*n)_Space_O(amount)
// #2024_05_22_Time_12_ms_(97.65%)_Space_16_MB_(67.57%)

#include 
#include 
using namespace std;

class Solution {
public:
    int coinChange(vector& coins, int amount) {
        vector dp(amount + 1, 0);
        dp[0] = 1;
        for (int coin : coins) {
            for (int i = coin; i <= amount; ++i) {
                int prev = dp[i - coin];
                if (prev > 0) {
                    if (dp[i] == 0) {
                        dp[i] = prev + 1;
                    } else {
                        dp[i] = min(dp[i], prev + 1);
                    }
                }
            }
        }
        return dp[amount] - 1;
    }
};




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