{"id":2872,"date":"2022-04-20T23:30:30","date_gmt":"2022-04-20T15:30:30","guid":{"rendered":"https:\/\/www.zeroheart.xyz\/wordpress\/?p=2872"},"modified":"2022-04-21T15:12:04","modified_gmt":"2022-04-21T07:12:04","slug":"dp%e7%ac%ac20%e5%a4%a9","status":"publish","type":"post","link":"https:\/\/www.zeroheart.xyz\/wordpress\/?p=2872","title":{"rendered":"dp\u7b2c20\u5929"},"content":{"rendered":"\n

\u5b8c\u5168\u80cc\u5305\u7684\u4e00\u9898<\/p>\n\n\n\n

322. \u96f6\u94b1\u5151\u6362<\/a><\/p>\n\n\n\n

int max = amount+1;\u8fd9\u91cc\u4e0d\u80fd\u7528max_value\uff0c\u4e0d\u7136\u53ef\u80fd\u4f1a\u53d8\u6210\u8d1f\u6570\uff0c\u56e0\u4e3a\u6709\u53ef\u80fd+1<\/p>\n\n\n\n


\/**
<\/em> *
<\/em> 322. \u96f6\u94b1\u5151\u6362
<\/em> \u7ed9\u4f60\u4e00\u4e2a\u6574\u6570\u6570\u7ec4 coins \uff0c\u8868\u793a\u4e0d\u540c\u9762\u989d\u7684\u786c\u5e01\uff1b\u4ee5\u53ca\u4e00\u4e2a\u6574\u6570 amount \uff0c\u8868\u793a\u603b\u91d1\u989d\u3002
<\/em>
<\/em> \u8ba1\u7b97\u5e76\u8fd4\u56de\u53ef\u4ee5\u51d1\u6210\u603b\u91d1\u989d\u6240\u9700\u7684 \u6700\u5c11\u7684\u786c\u5e01\u4e2a\u6570 \u3002\u5982\u679c\u6ca1\u6709\u4efb\u4f55\u4e00\u79cd\u786c\u5e01\u7ec4\u5408\u80fd\u7ec4\u6210\u603b\u91d1\u989d\uff0c\u8fd4\u56de -1 \u3002
<\/em>
<\/em> \u4f60\u53ef\u4ee5\u8ba4\u4e3a\u6bcf\u79cd\u786c\u5e01\u7684\u6570\u91cf\u662f\u65e0\u9650\u7684\u3002
<\/em>
<\/em>
<\/em>
<\/em> \u793a\u4f8b 1\uff1a
<\/em>
<\/em> \u8f93\u5165\uff1acoins = [1, 2, 5], amount = 11
<\/em> \u8f93\u51fa\uff1a3
<\/em> \u89e3\u91ca\uff1a11 = 5 + 5 + 1
<\/em> \u793a\u4f8b 2\uff1a
<\/em>
<\/em> \u8f93\u5165\uff1acoins = [2], amount = 3
<\/em> \u8f93\u51fa\uff1a-1
<\/em> \u793a\u4f8b 3\uff1a
<\/em>
<\/em> \u8f93\u5165\uff1acoins = [1], amount = 0
<\/em> \u8f93\u51fa\uff1a0
<\/em>
<\/em>
<\/em> \u63d0\u793a\uff1a
<\/em>
<\/em> 1 <= coins.length <= 12
<\/em> 1 <= coins[i] <= 231 - 1
<\/em> 0 <= amount <= 10^4
<\/em>
<\/em> * <\/em>@author <\/em><\/strong>zeroheart
<\/em> *
<\/em> *\/
<\/em>public class Question322 {

   public int coinChange(int[] coins, int amount) {
      int max = amount+1;
      int[] dp = new int[amount+1];
      Arrays.fill<\/em>(dp, max);

      int length = coins.length;
      dp[0] = 0;
      for(int i = 1; i<=amount; i++){
         for(int j = 0; j<length; j++){
            if(i>=coins[j]){
               dp[i] = Math.min<\/em>(dp[i], dp[i-coins[j]] + 1);
            }
         }
      }

      return dp[amount] >= amount+1 ? -1 : dp[amount];
   }

   public static void main(String args[]){
   }
}<\/pre>\n\n\n\n
518. \u96f6\u94b1\u5151\u6362 II<\/a><\/p>\n\n\n\n
\u5b8c\u5168\u80cc\u5305\u7684\u7ec4\u5408\u95ee\u9898\uff0c\u6392\u5217\u904d\u5386\u7684\u662f\u80cc\u5305\uff0c\u7ec4\u5408\u904d\u5386\u7684\u662f\u7269\u54c1\u3002\u8fd9\u4e2a\u8981\u6ce8\u610f\u3002<\/p>\n\n\n\n

\/**
<\/em> *
<\/em> 518. \u96f6\u94b1\u5151\u6362 II
<\/em> \u7ed9\u4f60\u4e00\u4e2a\u6574\u6570\u6570\u7ec4 coins \u8868\u793a\u4e0d\u540c\u9762\u989d\u7684\u786c\u5e01\uff0c\u53e6\u7ed9\u4e00\u4e2a\u6574\u6570 amount \u8868\u793a\u603b\u91d1\u989d\u3002
<\/em>
<\/em> \u8bf7\u4f60\u8ba1\u7b97\u5e76\u8fd4\u56de\u53ef\u4ee5\u51d1\u6210\u603b\u91d1\u989d\u7684\u786c\u5e01\u7ec4\u5408\u6570\u3002\u5982\u679c\u4efb\u4f55\u786c\u5e01\u7ec4\u5408\u90fd\u65e0\u6cd5\u51d1\u51fa\u603b\u91d1\u989d\uff0c\u8fd4\u56de 0 \u3002
<\/em>
<\/em> \u5047\u8bbe\u6bcf\u4e00\u79cd\u9762\u989d\u7684\u786c\u5e01\u6709\u65e0\u9650\u4e2a\u3002
<\/em>
<\/em> \u9898\u76ee\u6570\u636e\u4fdd\u8bc1\u7ed3\u679c\u7b26\u5408 32 \u4f4d\u5e26\u7b26\u53f7\u6574\u6570\u3002
<\/em>
<\/em>
<\/em>
<\/em> \u793a\u4f8b 1\uff1a
<\/em>
<\/em> \u8f93\u5165\uff1aamount = 5, coins = [1, 2, 5]
<\/em> \u8f93\u51fa\uff1a4
<\/em> \u89e3\u91ca\uff1a\u6709\u56db\u79cd\u65b9\u5f0f\u53ef\u4ee5\u51d1\u6210\u603b\u91d1\u989d\uff1a
<\/em> 5=5
<\/em> 5=2+2+1
<\/em> 5=2+1+1+1
<\/em> 5=1+1+1+1+1
<\/em> \u793a\u4f8b 2\uff1a
<\/em>
<\/em> \u8f93\u5165\uff1aamount = 3, coins = [2]
<\/em> \u8f93\u51fa\uff1a0
<\/em> \u89e3\u91ca\uff1a\u53ea\u7528\u9762\u989d 2 \u7684\u786c\u5e01\u4e0d\u80fd\u51d1\u6210\u603b\u91d1\u989d 3 \u3002
<\/em> \u793a\u4f8b 3\uff1a
<\/em>
<\/em> \u8f93\u5165\uff1aamount = 10, coins = [10]
<\/em> \u8f93\u51fa\uff1a1
<\/em>
<\/em>
<\/em> \u63d0\u793a\uff1a
<\/em>
<\/em> 1 <= coins.length <= 300
<\/em> 1 <= coins[i] <= 5000
<\/em> coins \u4e2d\u7684\u6240\u6709\u503c \u4e92\u4e0d\u76f8\u540c
<\/em> 0 <= amount <= 5000
<\/em>
<\/em> * <\/em>@author <\/em><\/strong>zeroheart
<\/em> *
<\/em> *\/
<\/em>public class Question518 {

   public int change(int amount, int[] coins) {
      \/\/ \u8fd9\u9898dp\u76f4\u63a5\u8868\u793a\u7ec4\u5408\u6570
      int[] dp = new int[amount+1];

      dp[0] = 1;

      int length = coins.length;
      \/\/ \u7ec4\u5408\u5148\u904d\u5386\u7269\u54c1
      for(int i = 0; i<length; i++){
         for(int j = 0; j<=amount; j++){
            if(j>=coins[i]){
               dp[j] += dp[j - coins[i]];
            }
         }
      }

      return dp[amount];
   }

   public static void main(String args[]){
   }
}<\/pre>\n\n\n\n
<\/p>\n","protected":false},"excerpt":{"rendered":"
\u5b8c\u5168\u80cc\u5305\u7684\u4e00\u9898 322. \u96f6\u94b1\u5151\u6362 int max = amount+1;\u8fd9\u91cc\u4e0d\u80fd\u7528max_value\uff0c\u4e0d\u7136\u53ef […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[155],"tags":[158],"_links":{"self":[{"href":"https:\/\/www.zeroheart.xyz\/wordpress\/index.php?rest_route=\/wp\/v2\/posts\/2872"}],"collection":[{"href":"https:\/\/www.zeroheart.xyz\/wordpress\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.zeroheart.xyz\/wordpress\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.zeroheart.xyz\/wordpress\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.zeroheart.xyz\/wordpress\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=2872"}],"version-history":[{"count":10,"href":"https:\/\/www.zeroheart.xyz\/wordpress\/index.php?rest_route=\/wp\/v2\/posts\/2872\/revisions"}],"predecessor-version":[{"id":2882,"href":"https:\/\/www.zeroheart.xyz\/wordpress\/index.php?rest_route=\/wp\/v2\/posts\/2872\/revisions\/2882"}],"wp:attachment":[{"href":"https:\/\/www.zeroheart.xyz\/wordpress\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=2872"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.zeroheart.xyz\/wordpress\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=2872"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.zeroheart.xyz\/wordpress\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=2872"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}