{"id":39453,"date":"2025-05-23T18:13:43","date_gmt":"2025-05-23T10:13:43","guid":{"rendered":"https:\/\/www.wsisp.com\/helps\/39453.html"},"modified":"2025-05-23T18:13:43","modified_gmt":"2025-05-23T10:13:43","slug":"%e8%a7%a3%e5%86%b3leetcode%e7%ac%ac3548%e9%a2%98-%e7%ad%89%e5%92%8c%e7%9f%a9%e9%98%b5%e5%88%86%e5%89%b2ii","status":"publish","type":"post","link":"https:\/\/www.wsisp.com\/helps\/39453.html","title":{"rendered":"\u89e3\u51b3leetcode\u7b2c3548\u9898.\u7b49\u548c\u77e9\u9635\u5206\u5272II"},"content":{"rendered":"

3548.\u7b49\u548c\u77e9\u9635\u5206\u5272II<\/h3>\n

\u96be\u5ea6：\u56f0\u96be<\/h4>\n

\u95ee\u9898\u63cf\u8ff0：<\/h4>\n

\u7ed9\u4f60\u4e00\u4e2a\u7531\u6b63\u6574\u6570\u7ec4\u6210\u7684mxn\u77e9\u9635grid\u3002\u4f60\u7684\u4efb\u52a1\u662f\u5224\u65ad\u662f\u5426\u53ef\u4ee5\u901a\u8fc7\u4e00\u6761\u6c34\u5e73\u6216\u4e00\u6761\u5782\u76f4\u5206\u5272\u7ebf\u5c06\u77e9\u9635\u5206\u5272\u6210\u4e24\u90e8\u5206，\u4f7f\u5f97：<\/p>\n

\u5206\u5272\u540e\u5f62\u6210\u7684\u6bcf\u4e2a\u90e8\u5206\u90fd\u662f\u975e\u7a7a\u7684\u3002<\/p>\n

\u4e24\u4e2a\u90e8\u5206\u4e2d\u6240\u6709\u5143\u7d20\u7684\u548c\u76f8\u7b49，\u6216\u8005\u603b\u5171\u6700\u591a\u79fb\u9664\u4e00\u4e2a\u5355\u5143\u683c（\u4ece\u5176\u4e2d\u4e00\u4e2a\u90e8\u5206\u4e2d）\u7684\u60c5\u51b5\u4e0b\u53ef\u4ee5\u4f7f\u5b83\u4eec\u76f8\u7b49\u3002<\/p>\n

\u5982\u679c\u79fb\u9664\u67d0\u4e2a\u5355\u5143\u683c，\u5269\u4f59\u90e8\u5206\u5fc5\u987b\u4fdd\u6301\u8fde\u901a\u3002<\/p>\n

\u5982\u679c\u5b58\u5728\u8fd9\u6837\u7684\u5206\u5272，\u8fd4\u56detrue；\u5426\u5219，\u8fd4\u56defalse\u3002<\/p>\n

\u6ce8\u610f：\u5982\u679c\u4e00\u4e2a\u90e8\u5206\u4e2d\u7684\u6bcf\u4e2a\u5355\u5143\u683c\u90fd\u53ef\u4ee5\u901a\u8fc7\u5411\u4e0a\u3001\u5411\u4e0b\u3001\u5411\u5de6\u6216\u5411\u53f3\u79fb\u52a8\u5230\u8fbe\u540c\u4e00\u90e8\u5206\u4e2d\u7684\u5176\u4ed6\u5355\u5143\u683c，\u5219\u8ba4\u4e3a\u8fd9\u4e00\u90e8\u5206\u662f\u8fde\u901a\u7684\u3002<\/p>\n

\u793a\u4f8b1：<\/p>\n

\u8f93\u5165：grid=[[1,4],[2,3]]<\/p>\n

\u8f93\u51fa：true<\/p>\n

\u89e3\u91ca：<\/p>\n

\u5728\u7b2c0\u884c\u548c\u7b2c1\u884c\u4e4b\u95f4\u8fdb\u884c\u6c34\u5e73\u5206\u5272，\u7ed3\u679c\u4e24\u90e8\u5206\u7684\u5143\u7d20\u548c\u4e3a1+4=5\u548c2+3=5，\u76f8\u7b49\u3002\u56e0\u6b64\u7b54\u6848\u662ftrue\u3002<\/p>\n

\u793a\u4f8b2：<\/p>\n

\u8f93\u5165：grid=[[1,2],[3,4]]<\/p>\n

\u8f93\u51fa：true<\/p>\n

\u89e3\u91ca：<\/p>\n

\u5728\u7b2c0\u5217\u548c\u7b2c1\u5217\u4e4b\u95f4\u8fdb\u884c\u5782\u76f4\u5206\u5272，\u7ed3\u679c\u4e24\u90e8\u5206\u7684\u5143\u7d20\u548c\u4e3a1+3=4\u548c2+4=6\u3002<\/p>\n

\u901a\u8fc7\u4ece\u53f3\u4fa7\u90e8\u5206\u79fb\u96642（6-2=4），\u4e24\u90e8\u5206\u7684\u5143\u7d20\u548c\u76f8\u7b49，\u5e76\u4e14\u4e24\u90e8\u5206\u4fdd\u6301\u8fde\u901a\u3002\u56e0\u6b64\u7b54\u6848\u662ftrue\u3002<\/p>\n

\u793a\u4f8b3：<\/p>\n

\u8f93\u5165：grid=[[1,2,4],[2,3,5]]<\/p>\n

\u8f93\u51fa：false<\/p>\n

\u89e3\u91ca：<\/p>\n

\u5728\u7b2c0\u884c\u548c\u7b2c1\u884c\u4e4b\u95f4\u8fdb\u884c\u6c34\u5e73\u5206\u5272，\u7ed3\u679c\u4e24\u90e8\u5206\u7684\u5143\u7d20\u548c\u4e3a1+2+4=7\u548c2+3+5=10\u3002<\/p>\n

\u901a\u8fc7\u4ece\u5e95\u90e8\u90e8\u5206\u79fb\u96643（10-3=7），\u4e24\u90e8\u5206\u7684\u5143\u7d20\u548c\u76f8\u7b49，\u4f46\u5e95\u90e8\u90e8\u5206\u4e0d\u518d\u8fde\u901a（\u5206\u88c2\u4e3a[2]\u548c[5]）\u3002\u56e0\u6b64\u7b54\u6848\u662ffalse\u3002<\/p>\n

\u793a\u4f8b4：<\/p>\n

\u8f93\u5165：grid=[[4,1,8],[3,2,6]]<\/p>\n

\u8f93\u51fa：false<\/p>\n

\u89e3\u91ca：<\/p>\n

\u4e0d\u5b58\u5728\u6709\u6548\u7684\u5206\u5272，\u56e0\u6b64\u7b54\u6848\u662ffalse\u3002<\/p>\n

\u63d0\u793a：<\/p>\n

1<=m==grid.length<=105<\/p>\n

1<=n==grid[i].length<=105<\/p>\n

2<=m*n<=105<\/p>\n

1<=grid[i][j]<=105<\/p>\n

\n

\u95ee\u9898\u5206\u6790：<\/h4>\n

\u8fd9\u4e2a\u95ee\u9898\u7684\u5904\u7406，\u5176\u5b9e\u5c31\u662f\u628a\u4e00\u4e2a\u7ed9\u5b9a\u7684\u77e9\u9635\u6309\u884c\u548c\u5217\u8fdb\u884c\u62c6\u5206，\u5f97\u5230\u62c6\u5206\u51fa\u6765\u7684\u4e24\u4e2a\u5b50\u77e9\u9635，\u518d\u628a\u5b83\u4eec\u7684\u5143\u7d20\u548c\u6c42\u51fa\u6765，\u5148\u6bd4\u8f83\u548c\u503c\u662f\u5426\u76f8\u7b49，\u5982\u679c\u76f8\u7b49\u8fd4\u56deTrue，\u5982\u679c\u4e0d\u76f8\u7b49，\u518d\u627e\u51fa\u548c\u503c\u5927\u7684\u90a3\u4e2a\u5b50\u77e9\u9635，\u5bf9\u5b83\u6309\u987a\u5e8f\u8fdb\u884c\u53bb\u6389\u4e00\u4e2a\u5143\u7d20\u4e4b\u540e\u6c42\u548c\u7684\u5904\u7406，\u5f97\u5230\u4e00\u4e2a\u548c\u503c\u7684\u5217\u8868，\u7136\u540e\u6bd4\u8f83\u8f83\u5c0f\u7684\u90a3\u4e2a\u548c\u503c\u4e0e\u5217\u8868\u4e2d\u7684\u54ea\u4e2a\u503c\u76f8\u7b49，\u5982\u679c\u6709\u76f8\u7b49\u7684\u60c5\u51b5，\u518d\u68c0\u67e5\u53bb\u6389\u90a3\u4e2a\u5143\u7d20\u4e4b\u540e，\u77e9\u9635\u662f\u5426\u8fde\u901a，\u5982\u679c\u68c0\u67e5\u662f\u8fde\u901a\u7684，\u5219\u8fd4\u56deTrue，\u5426\u5219\u7ee7\u7eed\u6bd4\u8f83，\u7ee7\u7eed\u5206\u5272\u5b50\u77e9\u9635\u3002\u5982\u679c\u6309\u884c\u548c\u5217\u8fdb\u884c\u5206\u5272\u5e76\u8fdb\u884c\u6bd4\u8f83\u90fd\u6ca1\u6709\u76f8\u7b49\u6216\u76f8\u7b49\u5e76\u8fde\u901a\u7684\u60c5\u51b5，\u6700\u540e\u8fd4\u56deFalse\u3002<\/p>\n

\n

\u4e3a\u6b64\u8bbe\u8ba1\u4ee5\u4e0b\u51fd\u6570\u5b9e\u73b0：<\/p>\n

  • \u51fd\u6570is_connected(a,i,j)，\u7528\u4e8e\u68c0\u67e5\u77e9\u9635a\u4e2d\u53bb\u6389\u5750\u6807\u4e3a(i,j)\u7684\u5143\u7d20\u4e4b\u540e，\u77e9\u9635\u662f\u5426\u8fde\u901a，\u5982\u679c\u8fde\u901a，\u8fd4\u56deTrue，\u5426\u5219\u8fd4\u56deFalse\u3002\u5f53\u884c\u6570\u6216\u5217\u6570\u5728\u5927\u4e8e\u7b492\u65f6，\u4e0d\u7ba1\u4f60\u53bb\u6389\u54ea\u4e2a\u5143\u7d20，\u5217\u8868\u90fd\u662f\u8fde\u901a\u7684，\u5f53\u53ea\u6709\u4e00\u884c（\u6216\u5217）\u65f6，\u5217\u503c（\u6216\u884c\u503c）\u5982\u679c\u5904\u5728\u4e2d\u95f4\u4f4d\u7f6e\u65f6，\u5217\u8868\u4e3a\u4e0d\u8fde\u901a\u72b6\u6001，\u5904\u5728\u4e24\u7aef\u65f6\u4e3a\u8fde\u901a\u72b6\u6001\u3002<\/li>\n
  • \u51fd\u6570get_sum_array(s)，\u7528\u4e8e\u8ba1\u7b97\u77e9\u9635s\u4e2d\u6240\u6709\u5143\u7d20\u4e4b\u548c\u5e76\u8fd4\u56de\u3002<\/li>\n
  • \u51fd\u6570\u00a0get_sum_array_lost_one(a)，\u7528\u4e8e\u8ba1\u7b97\u77e9\u9635a\u6309\u987a\u5e8f\u53bb\u6389\u5404\u4e2a\u5143\u7d20\u4e4b\u540e，\u5269\u4f59\u5143\u7d20\u4e4b\u548c\u7684\u5217\u8868<\/li>\n
  • \u51fd\u6570def split_array_row(s,i)\u548csplit_array_col(s,i)\u5b9e\u73b0\u6309\u884c\u6570\u548c\u5217\u6570\u5bf9\u77e9\u9635s\u8fdb\u884c\u5206\u5272，\u5e76\u8fd4\u56de\u5206\u5272\u4e4b\u540e\u7684\u4e24\u4e2a\u5b50\u77e9\u9635\u3002<\/li>\n
  • \u6700\u540e\u7684\u51fd\u6570split_array_equal_sum(s)\u5219\u5bf9\u77e9\u9635s\u6309\u884c\u548c\u5217\u8fdb\u884c\u5206\u5272\u5904\u7406，\u8ba1\u7b97\u5b50\u77e9\u9635\u5143\u7d20\u548c，\u7136\u540e\u5224\u65ad\u548c\u503c\u662f\u5426\u76f8\u7b49\u6216\u548c\u503c\u5c0f\u7684\u662f\u5426\u4e0e\u53bb\u6389\u4e00\u4e2a\u5143\u7d20\u4e4b\u540e\u7684\u67d0\u4e00\u4e2a\u548c\u503c\u76f8\u7b49\u4e14\u8fde\u901a\u60c5\u51b5\u8fdb\u884c\u5224\u65ad，\u8fd4\u56de\u76f8\u5e94\u7684\u7ed3\u679c\u3002<\/li>\n

    \n

    \u7a0b\u5e8f\u5982\u4e0b：<\/h4>\n

    #\u5224\u65ad\u5728\u4e00\u4e2a\u7f51\u683c\u4e2d，\u9664\u4e86\u70b9（i，j）\u4e4b\u5916\u7684\u70b9\u662f\u5426\u8fde\u901a，\u5982\u679c\u662f\u8fde\u901a，\u8fd4\u56deTrue，\u5426\u5219\u8fd4\u56deFalse
    \ndef is_connected(a,i,j):
    \n n=len(a)
    \n m=len(a[0])
    \n # print('n,m=',n,m)
    \n if n==1 and 0<j<m-1:
    \n return False
    \n elif m==1 and 0<i<n-1:
    \n return False
    \n else:
    \n return True<\/p>\n

    #\u8ba1\u7b97\u4e00\u4e2a\u77e9\u9635\u5143\u7d20\u4e4b\u548c，\u5e76\u8fd4\u56de
    \ndef get_sum_array(s):
    \n my_sum=0
    \n for i in s:
    \n my_sum=my_sum+sum(i)
    \n return my_sum<\/p>\n

    #\u8ba1\u7b97\u4e00\u4e2a\u77e9\u9635\u5143\u7d20\u4e4b\u548c，\u7136\u540e\u53bb\u6389\u4e00\u4e2a\u5143\u7d20\u4e4b\u540e，\u8fd4\u56de\u5176\u4f59\u5143\u7d20\u53ef\u80fd\u7684\u548c\u7684\u5217\u8868
    \ndef get_sum_array_lost_one(a):
    \n s=get_sum_array(a)
    \n n=len(a)
    \n m=len(a[0])
    \n b=[]
    \n for i in range(n):
    \n for j in range(m):
    \n b.append([s-a[i][j],i,j])
    \n return b<\/p>\n

    #\u6309\u884c\u5206\u5272\u77e9\u9635，i\u662f\u884c\u6570
    \ndef split_array_row(s,i):
    \n return s[:i],s[i:]<\/p>\n

    #\u6309\u5217\u5206\u5272\u77e9\u9635，i\u662f\u5217\u6570
    \ndef split_array_col(s,i):
    \n left=[x[:i] for x in s]
    \n right=[x[i:] for x in s]
    \n return left,right<\/p>\n

    #\u5bf9\u4e8e\u4e00\u4e2amxn\u77e9\u9635，\u5224\u65ad\u662f\u5426\u5b58\u5728\u4e00\u6761\u6c34\u5e73\u6216\u7ad6\u76f4\u7ebf，\u80fd\u591f\u5c06\u77e9\u9635\u5206\u5272\u6210\u548c\u76f8\u7b49\u7684\u4e24\u90e8\u5206
    \ndef split_array_equal_sum(s):
    \n m=len(s)
    \n n=len(s[0])
    \n for i in range(1,m):
    \n up,down=split_array_row(s,i)
    \n u = get_sum_array(up)
    \n d = get_sum_array(down)
    \n if u==d:
    \n return True
    \n else:
    \n up, down = (up, down) if u > d else (down, up)
    \n t=get_sum_array_lost_one(up)
    \n down=get_sum_array(down)
    \n for i in t:
    \n if down==i[0] and is_connected(up,i[1],i[2]):
    \n return True
    \n else:
    \n continue
    \n for j in range(1,n):
    \n left,right=split_array_col(s,j)
    \n l = get_sum_array(left)
    \n r = get_sum_array(right)
    \n if l==r:
    \n return True
    \n else:
    \n left, right = (left, right) if l > r else (right, left)
    \n t=get_sum_array_lost_one(left)
    \n right=get_sum_array(right)
    \n for i in t:
    \n if right==i[0] and is_connected(left,i[1],i[2]):
    \n return True
    \n else:
    \n continue
    \n else:
    \n return False<\/p>\n

    #\u4e3b\u7a0b\u5e8f
    \ngrid=eval(input('pls input grid='))
    \nprint(split_array_equal_sum(grid)) <\/p>\n

    \u8fd0\u884c\u5b9e\u4f8b\u4e00<\/h4>\n

    pls input grid=[[1,2,3]]<\/p>\n

    True<\/p>\n

    \n

    \u8fd0\u884c\u5b9e\u4f8b\u4e8c<\/h4>\n

    pls input grid=[[5],[2],[3]]<\/p>\n

    True<\/p>\n

    \n

    \u8fd0\u884c\u5b9e\u4f8b\u4e09<\/h4>\n

    pls input grid=[[1,2,3,4]]<\/p>\n

    True<\/p>\n

    \n

    \u8fd0\u884c\u5b9e\u4f8b\u56db<\/h4>\n

    pls input grid=[[2,4],[1,5]]<\/p>\n

    True<\/p>\n

    \n

    \u8fd0\u884c\u5b9e\u4f8b\u4e94<\/h4>\n

    pls input grid=[[2,3,4],[4,5,6],[7,8,10]]<\/p>\n

    False<\/p>\n

    \n

    \u8fd0\u884c\u5b9e\u4f8b\u516d<\/h4>\n

    pls input grid=[[2,3,4],[4,5,6],[7,8,6]]<\/p>\n

    True<\/p>\n

    \n

    \u5bf9\u95ee\u9898\u8fdb\u884c\u5207\u5272，\u51c6\u786e\u628a\u63e1\u6bcf\u90e8\u5206\u529f\u80fd，\u7ec6\u5fc3\u5b9e\u73b0\u5e76\u7ec4\u5408，\u95ee\u9898\u89e3\u51b3\u72b9\u5982\u51b0\u96ea\u4e4b\u6d88\u878d，\u5fc3\u5883\u5982\u5929\u7a7a\u4e4b\u6717\u6717\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"

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