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leetcode.322.零钱兑换(动态规划)

零钱兑换

322.零钱兑换

公式

dp[i] = Math.min(dp[i], dp[i - coin] + 1)

代码

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class Solution {
public:
int dp(vector<int>& d, vector<int>& coins,int n)
{
if (d[n] != -2)
{
return d[n];
}
else
{
d[n] = -1;
}
int i = 0;
int j = 0;
for (i = coins.size() - 1; i >= 0; i--)
{
j = n - coins[i];
if (j >= 0)
{
int dpj = dp(d,coins,j);
if (dpj != -1)
{
if (d[n] == -1)
{
d[n] = dpj + 1;
}
else if (d[n] > dpj + 1)
{
d[n] = dpj + 1;
}
}
}
}

return d[n];
}
int coinChange(vector<int>& coins, int amount) {
vector<int> d(amount + 1);
d[0] = 0;
for (int i = 1; i < amount + 1; i++)
{
d[i] = -2;
}

return dp(d,coins,amount);
}
};