120. \u4e09\u89d2\u5f62\u6700\u5c0f\u8def\u5f84\u548c<\/a><\/p>\n\n\n\n\u8fd9\u4e2a\u7528\u4e86\u5de7\u5999\u7684\u81ea\u4e0b\u800c\u4e0a\u7684\u7b97\u6cd5\uff0c\u6211\u5f00\u59cb\u4f7f\u7528\u8d2a\u5fc3\uff0c\u53d1\u73b0\u4e0d\u5bf9\u3002\u3002<\/p>\n\n\n\n
\/**
<\/em> 120. \u4e09\u89d2\u5f62\u6700\u5c0f\u8def\u5f84\u548c
<\/em> \u7ed9\u5b9a\u4e00\u4e2a\u4e09\u89d2\u5f62 triangle \uff0c\u627e\u51fa\u81ea\u9876\u5411\u4e0b\u7684\u6700\u5c0f\u8def\u5f84\u548c\u3002
<\/em>
<\/em> \u6bcf\u4e00\u6b65\u53ea\u80fd\u79fb\u52a8\u5230\u4e0b\u4e00\u884c\u4e2d\u76f8\u90bb\u7684\u7ed3\u70b9\u4e0a\u3002\u76f8\u90bb\u7684\u7ed3\u70b9 \u5728\u8fd9\u91cc\u6307\u7684\u662f \u4e0b\u6807 \u4e0e \u4e0a\u4e00\u5c42\u7ed3\u70b9\u4e0b\u6807 \u76f8\u540c\u6216\u8005\u7b49\u4e8e \u4e0a\u4e00\u5c42\u7ed3\u70b9\u4e0b\u6807 + 1 \u7684\u4e24\u4e2a\u7ed3\u70b9\u3002\u4e5f\u5c31\u662f\u8bf4\uff0c\u5982\u679c\u6b63\u4f4d\u4e8e\u5f53\u524d\u884c\u7684\u4e0b\u6807 i \uff0c\u90a3\u4e48\u4e0b\u4e00\u6b65\u53ef\u4ee5\u79fb\u52a8\u5230\u4e0b\u4e00\u884c\u7684\u4e0b\u6807 i \u6216 i + 1 \u3002
<\/em>
<\/em>
<\/em>
<\/em> \u793a\u4f8b 1\uff1a
<\/em>
<\/em> \u8f93\u5165\uff1atriangle = [[2],[3,4],[6,5,7],[4,1,8,3]]
<\/em> \u8f93\u51fa\uff1a11
<\/em> \u89e3\u91ca\uff1a\u5982\u4e0b\u9762\u7b80\u56fe\u6240\u793a\uff1a
<\/em> 2
<\/em> 3 4
<\/em> 6 5 7
<\/em> 4 1 8 3
<\/em> \u81ea\u9876\u5411\u4e0b\u7684\u6700\u5c0f\u8def\u5f84\u548c\u4e3a 11\uff08\u5373\uff0c2 + 3 + 5 + 1 = 11\uff09\u3002
<\/em> \u793a\u4f8b 2\uff1a
<\/em>
<\/em> \u8f93\u5165\uff1atriangle = [[-10]]
<\/em> \u8f93\u51fa\uff1a-10
<\/em>
<\/em>
<\/em> \u63d0\u793a\uff1a
<\/em>
<\/em> 1 <= triangle.length <= 200
<\/em> triangle[0].length == 1
<\/em> triangle[i].length == triangle[i - 1].length + 1
<\/em> -10^4 <= triangle[i][j] <= 10^4
<\/em>
<\/em>
<\/em> \u8fdb\u9636\uff1a
<\/em>
<\/em> \u4f60\u53ef\u4ee5\u53ea\u4f7f\u7528 O(n) \u7684\u989d\u5916\u7a7a\u95f4\uff08n \u4e3a\u4e09\u89d2\u5f62\u7684\u603b\u884c\u6570\uff09\u6765\u89e3\u51b3\u8fd9\u4e2a\u95ee\u9898\u5417\uff1f
<\/em>
<\/em> * <\/em>@author <\/em><\/strong>zeroheart
<\/em> *
<\/em> *\/
<\/em>public class Question120 {
public int minimumTotal(List<List<Integer>> triangle) {
\/\/ \u901a\u8fc7\u7528\u4f8b\u53d1\u73b0\uff0c\u4e0d\u80fd\u4f7f\u7528\u8d2a\u5fc3
\/\/ int m = triangle.size();
\/\/ int rs = triangle.get(0).get(0);;
\/\/ int lastIndex = 0;
\/\/ for(int i = 1; i<m; i++){
\/\/ List<Integer> nums = triangle.get(i);
\/\/ int len = nums.size();
\/\/ int min = Math.min(nums.get(lastIndex), nums.get(lastIndex+1));
\/\/ rs += min;
\/\/ if(nums.get(lastIndex) > nums.get(lastIndex+1))
\/\/ lastIndex = lastIndex+1;
\/\/ }
\/\/ return rs;
\/\/ \u81ea\u4e0b\u800c\u4e0a\u7684\u7b97\u6cd5\u3002\u3002\u3002\u5f88\u5de7\u5999
int size = triangle.size();
int[][] dp = new int[size+1][size+1];
for(int i = size-1; i>=0; i--){
int len = triangle.get(i).size();
for(int j=0; j<len; j++){
dp[i][j] = Math.min<\/em>(dp[i+1][j], dp[i+1][j+1]) + triangle.get(i).get(j);
}
}
return dp[0][0];
}
public static void main(String[] args) {
}
}<\/pre>\n\n\n\n<\/p>\n","protected":false},"excerpt":{"rendered":"
dp 120. \u4e09\u89d2\u5f62\u6700\u5c0f\u8def\u5f84\u548c \u8fd9\u4e2a\u7528\u4e86\u5de7\u5999\u7684\u81ea\u4e0b\u800c\u4e0a\u7684\u7b97\u6cd5\uff0c\u6211\u5f00\u59cb\u4f7f\u7528\u8d2a\u5fc3\uff0c\u53d1\u73b0\u4e0d\u5bf9\u3002\u3002 \/** 120. […]<\/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\/2634"}],"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=2634"}],"version-history":[{"count":1,"href":"https:\/\/www.zeroheart.xyz\/wordpress\/index.php?rest_route=\/wp\/v2\/posts\/2634\/revisions"}],"predecessor-version":[{"id":2635,"href":"https:\/\/www.zeroheart.xyz\/wordpress\/index.php?rest_route=\/wp\/v2\/posts\/2634\/revisions\/2635"}],"wp:attachment":[{"href":"https:\/\/www.zeroheart.xyz\/wordpress\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=2634"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.zeroheart.xyz\/wordpress\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=2634"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.zeroheart.xyz\/wordpress\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=2634"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}