LeetCode 1292. Maximum Side Length of a Square with Sum Less than or Equal to Threshold

题目

我是按照边进行二分的

class Solution {
public:
    int sum[100005];

    int a[305][305];
    int maxSideLength(vector<vector<int>>& mat, int threshold) {

        if(threshold==0)
            return 0;
        int n = mat.size();
        int m = mat[0].size();

        int len = min(n,m);

        for(int i=0;i<=len;i++)
        {
            sum[i]=99999999;
        }

        a[0][0] = mat[0][0];
        for(int j=1;j<m;j++)
        {
            a[0][j] = mat[0][j]+a[0][j-1]; 

        }

        for(int i=1;i<n;i++)
        {
            a[i][0]=mat[i][0]+a[i-1][0];
        }

        for(int i=1;i<n;i++)
        {
            for(int j=1;j<m;j++)
            {
                a[i][j] = a[i-1][j]+a[i][j-1]+mat[i][j] -a[i-1][j-1];
            }
        }

        for(int i=0;i<n;i++)
        {
            for(int j=0;j<m;j++)
            {
                for(int k=0;k<len;k++)
                {
                    int x=99999999;
                    if(i-k<0||j-k<0)
                        continue;
                    if(k==0)
                    {
                        x = mat[i][j];
                    }
                    else
                    {
                        x=a[i][j];
                        if(i-k-1>=0)
                        {
                            x = x-a[i-k-1][j];
                        }
                        if(j-k-1>=0)
                        {
                            x = x-a[i][j-k-1];
                        }
                        if(i-k-1>=0&&j-k-1>=0)
                        {

                            x = x+a[i-k-1][j-k-1];
                        }

                    }

                    if(x<=threshold)
                    {
                        sum[k+1] = min(sum[k+1],x);
                    }
                }
            }
        }

        int start = 1;
        int end = len;

        int ans=-1;

        while(start<=end)
        {
            int mid = (start + end)/2;

            if(sum[mid]>threshold)
            {
                end = mid-1;
            }

            if(sum[mid]<threshold)
            {
                start = mid+1;
            }

            if(sum[mid]==threshold)
            {
                ans=mid;
                break;
            }
        }

        if(ans==-1)
        {
            if(sum[end]>threshold)
                ans=0;
            else
                ans=end;
        }
        return ans;

    }
};