{"id":192,"date":"2020-04-27T00:47:22","date_gmt":"2020-04-27T00:47:22","guid":{"rendered":"http:\/\/feellikelearning.com\/?p=192"},"modified":"2020-04-29T08:12:58","modified_gmt":"2020-04-29T08:12:58","slug":"leetcode-518-coin-change-2-solution","status":"publish","type":"post","link":"https:\/\/feellikelearning.com\/index.php\/2020\/04\/27\/leetcode-518-coin-change-2-solution\/","title":{"rendered":"\u7b97\u6cd5\u7ec3\u4e60 Leetcode \u529b\u6263 518. Coin Change 2\u89e3\u6cd5"},"content":{"rendered":"\n

\u4f5c\u4e3alc322 coin change\u7684follow up\uff0cleetcode\u6807\u8bb0\u4e3amedium\uff0c\u800c\u4e14acceptance rate\u4e3a47%\uff0c\u9ad8\u4e8ecoin change\u768434.2%\u3002\u4e2a\u4eba\u505a\u4e0b\u6765\u89c9\u5f97\u5f88\u96be\uff0c\u6bd4322\u8981\u96be\u3002\u5199\u51fa\u4e00\u4e2a\u903b\u8f91\u6b63\u786e\u7684\u89e3\u6cd5\u8fd8\u7b97OK\uff0c\u4f46\u662fOJ\u4f1a\u8d85\u65f6\u3002<\/p>\n\n\n\n

Python \u7248\u672c top down dfs + backtrace<\/p>\n\n\n\n

class Solution(object):\n    def change(self, amount, coins):\n        \"\"\"\n        :type amount: int\n        :type coins: List[int]\n        :rtype: int\n        \"\"\"\n        cur_path = []\n        paths = set()\n        self.dfs(amount, coins, cur_path, paths)\n        return len(paths)\n        \n    def dfs(self, amount, coins, cur_path, paths):\n        if amount == 0:\n            path = tuple(sorted(cur_path))\n            paths.add(path)\n            return\n        if amount < 0:\n            return\n        for coin in coins:\n            cur_path.append(coin)\n            self.dfs(amount - coin, coins, cur_path, paths)\n            del cur_path[-1]\n        <\/code><\/pre>\n\n\n\n
Python \u7248\u672c bottom up dp<\/p>\n\n\n\n
class Solution(object):\n    def change(self, amount, coins):\n        \"\"\"\n        :type amount: int\n        :type coins: List[int]\n        :rtype: int\n        \"\"\"\n        dp = [None] * (amount + 1)\n        dp[0] = set()\n        dp[0].add(())\n        for i in range(1, amount + 1):\n            combos = set()\n            for coin in coins:\n                rest = i - coin\n                if rest >= 0 and dp[rest] is not None:\n                    for rest_combo in dp[rest]:\n                        combo = tuple(sorted(rest_combo + (coin,)))\n                        combos.add(combo)\n            if len(combos) > 0:\n                dp[i] = combos\n                \n        return len(dp[amount]) if dp[amount] is not None else 0 <\/code><\/pre>\n\n\n\n
\u4ee5\u4e0a\u4e24\u79cd\u90fd\u8d85\u65f6\u3002<\/p>\n\n\n\n
\u5b9e\u5728\u60f3\u4e0d\u5230\u80fd\u8fc7OJ\u7684\u7b97\u6cd5\uff0c\u4ee5\u4e0bdp\u7b97\u6cd5\u4e5f\u662f\u6211\u4ece\u7f51\u4e0a\u5927\u795e\u4eec\u90a3\u5b66\u5230\u4e86\u3002\u76ef\u7740\u770b\u4e862\u5929\u624d\u7b97\u60f3\u660e\u767d\u4e86\u5176\u4e2d\u9053\u7406\u3002\u5199\u5f97\u975e\u5e38\u7b80\u77ed\u3002<\/p>\n\n\n\n
class Solution(object):\n    def change(self, amount, coins):\n        \"\"\"\n        :type amount: int\n        :type coins: List[int]\n        :rtype: int\n        \"\"\"\n        dp = [1] + [0] * amount\n        for coin in coins:\n            for i in xrange(amount - coin + 1):\n                if dp[i]:\n                    dp[i + coin] += dp[i]\n        return dp[amount]<\/code><\/pre>\n","protected":false},"excerpt":{"rendered":"
\u4f5c\u4e3alc322 coin change\u7684follow up\uff0cleetcode\u6807\u8bb0\u4e3amedium\uff0c\u800c\u4e14acceptance rate\u4e3a47%\uff0c\u9ad8\u4e8ecoin change\u768434.2%\u3002\u4e2a\u4eba\u505a\u4e0b\u6765\u89c9\u5f97\u5f88\u96be\uff0c\u6bd4322\u8981\u96be\u3002\u5199\u51fa\u4e00\u4e2a\u903b\u8f91\u6b63\u786e\u7684\u89e3\u6cd5\u8fd8\u7b97OK\uff0c\u4f46\u662fOJ\u4f1a\u8d85\u65f6\u3002 Python \u7248\u672c top down dfs + backtrace Python \u7248\u672c bottom up dp \u4ee5\u4e0a\u4e24\u79cd\u90fd\u8d85\u65f6\u3002 \u5b9e\u5728\u60f3\u4e0d\u5230\u80fd\u8fc7OJ\u7684\u7b97\u6cd5\uff0c\u4ee5\u4e0bdp\u7b97\u6cd5\u4e5f\u662f\u6211\u4ece\u7f51\u4e0a\u5927\u795e\u4eec\u90a3\u5b66\u5230\u4e86\u3002\u76ef\u7740\u770b\u4e862\u5929\u624d\u7b97\u60f3\u660e\u767d\u4e86\u5176\u4e2d\u9053\u7406\u3002\u5199\u5f97\u975e\u5e38\u7b80\u77ed\u3002<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_mi_skip_tracking":false},"categories":[1],"tags":[],"yoast_head":"\n\u7b97\u6cd5\u7ec3\u4e60 Leetcode \u529b\u6263 518. Coin Change 2\u89e3\u6cd5 | Feel Like Learning<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/feellikelearning.com\/index.php\/2020\/04\/27\/leetcode-518-coin-change-2-solution\/?variant=zh-hant\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u7b97\u6cd5\u7ec3\u4e60 Leetcode \u529b\u6263 518. Coin Change 2\u89e3\u6cd5 | Feel Like Learning\" \/>\n<meta property=\"og:description\" content=\"\u4f5c\u4e3alc322 coin change\u7684follow up\uff0cleetcode\u6807\u8bb0\u4e3amedium\uff0c\u800c\u4e14acceptance rate\u4e3a47%\uff0c\u9ad8\u4e8ecoin change\u768434.2%\u3002\u4e2a\u4eba\u505a\u4e0b\u6765\u89c9\u5f97\u5f88\u96be\uff0c\u6bd4322\u8981\u96be\u3002\u5199\u51fa\u4e00\u4e2a\u903b\u8f91\u6b63\u786e\u7684\u89e3\u6cd5\u8fd8\u7b97OK\uff0c\u4f46\u662fOJ\u4f1a\u8d85\u65f6\u3002 Python \u7248\u672c top down dfs + backtrace Python \u7248\u672c bottom up dp \u4ee5\u4e0a\u4e24\u79cd\u90fd\u8d85\u65f6\u3002 \u5b9e\u5728\u60f3\u4e0d\u5230\u80fd\u8fc7OJ\u7684\u7b97\u6cd5\uff0c\u4ee5\u4e0bdp\u7b97\u6cd5\u4e5f\u662f\u6211\u4ece\u7f51\u4e0a\u5927\u795e\u4eec\u90a3\u5b66\u5230\u4e86\u3002\u76ef\u7740\u770b\u4e862\u5929\u624d\u7b97\u60f3\u660e\u767d\u4e86\u5176\u4e2d\u9053\u7406\u3002\u5199\u5f97\u975e\u5e38\u7b80\u77ed\u3002\" \/>\n<meta property=\"og:url\" content=\"https:\/\/feellikelearning.com\/index.php\/2020\/04\/27\/leetcode-518-coin-change-2-solution\/?variant=zh-hant\" \/>\n<meta property=\"og:site_name\" content=\"Feel Like Learning\" \/>\n<meta property=\"article:published_time\" content=\"2020-04-27T00:47:22+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2020-04-29T08:12:58+00:00\" \/>\n<meta name=\"author\" content=\"feellikelearning\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"feellikelearning\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minute\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/feellikelearning.com\/index.php\/2020\/04\/27\/leetcode-518-coin-change-2-solution\/?variant=zh-hant#article\",\"isPartOf\":{\"@id\":\"https:\/\/feellikelearning.com\/index.php\/2020\/04\/27\/leetcode-518-coin-change-2-solution\/?variant=zh-hant\"},\"author\":{\"name\":\"feellikelearning\",\"@id\":\"https:\/\/feellikelearning.com\/#\/schema\/person\/91fb815bebebf166c217b5e3764d437a\"},\"headline\":\"\u7b97\u6cd5\u7ec3\u4e60 Leetcode \u529b\u6263 518. 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