二维数组中的查找

（java实现）

题目描述：

在一个二维数组中（每个一维数组的长度相同），每一行都按照从左到右递增的顺序排序，每一列都按照从上到下递增的顺序排序。请完成一个函数，输入这样的一个二维数组和一个整数，判断数组中是否含有该整数。

示例1：

输入

7,[[1,2,8,9],[2,4,9,12],[4,7,10,13],[6,8,11,15]]

输出

true

问题分析：

数组是有序的。
但需要注意，同一行是但是不同列之间的数的大小相差不一样的。因此需要走“s”形路线，而不是简单“7”字型

相关知识：

java 数组的行数和列数
java 是按行存储数组的
假如一个二维数组 a,
它的行数为 a.length
它的列数为 a[0].length
三维数组则分别为： a.length, a[0].length, a[0][0].length

参考代码：

public class Solution {
    public boolean Find(int target, int [][] array) {
        int n = array.length;
        int m = array[0].length;
        int row=0,column=m-1;
        while (row<n && column>=0)
        {
            if (target == array[row][column])
                return true;
            else if (target < array[row][column])
                column--;
            else 
                row++;
        }
        return false;
    }
}

测试用例: 102,[[1,2,4,6,8,10,11,13,15,17,20,22,24,27,30,32,35,36,38,39,42,44,46,47,48,49,51,54,55,56],[3,4,6,8,11,13,15,18,19,20,23,25,27,29,33,36,38,41,42,45,48,50,53,54,57,60,63,65,66,67],[5,7,8,11,14,15,17,19,21,23,24,28,31,33,36,39,41,44,47,49,52,53,56,57,60,63,66,68,71,72],[7,10,13,14,17,19,22,25,26,27,30,32,34,37,39,42,44,46,50,53,55,56,59,61,64,66,69,72,74,76],[8,12,16,17,20,21,23,26,29,31,33,35,37,40,42,45,48,49,52,55,58,59,61,63,67,69,70,74,76,79],[10,15,18,20,22,24,27,30,32,33,36,38,39,41,45,47,50,53,56,58,61,64,65,68,69,71,73,76,79,82],[13,17,20,23,24,26,28,31,34,36,38,41,42,43,48,50,53,56,58,61,64,67,68,71,73,74,75,78,81,84],[15,19,22,24,26,28,31,34,35,38,41,44,45,46,49,51,56,59,61,64,67,69,71,73,76,78,79,82,85,87],[17,20,23,26,29,30,32,37,40,42,43,47,50,53,55,56,58,62,64,66,69,72,75,78,80,81,83,86,88,90],[18,21,25,28,30,32,35,38,42,43,44,49,51,55,58,59,61,65,68,71,73,74,77,79,82,85,88,89,91,93],[20,23,28,29,33,36,37,40,43,45,47,52,55,58,60,62,63,66,70,74,76,77,79,81,85,88,89,91,93,94],[23,25,31,33,35,39,42,43,44,46,50,53,56,61,62,65,68,69,72,75,78,81,82,83,88,91,92,93,96,99],[26,27,33,34,38,40,45,48,51,53,55,56,58,64,66,69,72,75,77,80,82,84,87,88,90,93,94,95,99,101],[29,30,36,38,40,42,47,50,53,56,57,59,62,65,68,71,73,77,79,83,84,86,88,91,93,96,99,100,102,103],[32,33,39,42,44,46,49,53,56,59,62,65,68,71,72,75,77,78,80,85,87,90,92,94,96,99,101,103,105,107],[35,37,42,43,46,48,51,55,59,61,65,67,71,74,76,78,81,82,84,86,90,92,95,96,99,102,103,106,107,109],[36,39,43,46,49,50,53,58,62,65,67,70,73,76,77,79,84,87,88,90,93,96,99,102,103,106,108,111,112,115],[38,42,45,47,52,55,57,60,64,66,69,72,75,78,80,82,87,89,91,92,94,99,100,103,105,107,111,112,115,118],[39,44,48,49,55,57,60,63,66,69,72,75,78,80,82,85,89,92,94,95,98,101,102,105,108,111,112,115,116,120],[40,47,49,52,56,59,63,64,68,71,75,78,80,83,85,88,91,94,97,99,101,104,105,108,110,112,115,118,120,123],[42,50,53,55,59,62,66,67,71,73,78,81,82,86,87,90,94,97,100,101,104,106,107,109,111,114,117,120,123,126],[43,51,55,58,62,64,69,71,74,77,81,84,86,87,89,93,96,99,102,103,105,108,111,112,113,116,120,122,125,129],[45,54,56,59,65,67,72,75,76,79,84,87,90,92,94,97,99,102,104,107,108,111,114,116,119,120,122,124,127,132],[47,55,59,62,66,68,74,78,80,82,85,88,93,96,99,101,102,105,106,108,110,113,115,118,120,121,124,127,130,133],[49,56,61,65,68,70,76,81,83,85,87,91,95,99,102,103,104,106,108,110,113,116,118,121,124,127,130,133,134,137],[51,57,62,68,71,74,78,83,86,89,92,95,97,101,104,106,108,110,113,114,117,119,121,123,126,130,132,135,137,140],[53,59,65,69,73,75,81,86,88,92,95,97,100,103,107,109,111,112,115,117,120,122,125,126,129,131,133,138,141,143],[55,61,67,72,75,77,82,89,92,94,97,100,102,105,108,111,114,115,116,119,123,125,126,128,131,134,137,140,144,146],[57,63,68,74,78,81,85,90,95,98,100,101,103,107,110,114,117,119,120,123,126,129,130,133,136,138,141,144,146,149],[58,65,70,76,81,84,86,93,98,101,104,105,107,110,112,115,120,122,124,126,129,132,135,136,138,140,142,146,149,150]] 对应输出应该为: true 你的输出为: false