找出表格中包含 X 的单元格数
原文:https://www . geeksforgeeks . org/find-表中单元格的数量-contains-x/
给定两个整数 N 和 X 。 N 代表表格的行数和列数。表中第行第列第列第列的元素为 i*j 。任务是在包含 X 的表格中找到单元格的数量。
示例:
输入: N = 6,X = 12 输出: 4 单元格{2,6}、{3,4}、{4,3}、{6,2}包含数字 12
输入: N = 5,X = 11 T3】输出: 0
进场: 很容易看出数字 x 连续只能出现一次。如果 x 包含在和行中,那么列号将是 x/i 。 x 包含在带有的行中,如果 x 可被 i 整除。让我们检查一下 x 除 i 和 x/i < = n 。如果满足这些条件,请更新答案。
下面是上述方法的实现:
C++
// CPP program to find number of
// cells in the table contains X
#include <bits/stdc++.h>
using namespace std;
// Function to find number of
// cells in the table contains X
int Cells(int n, int x)
{
int ans = 0;
for (int i = 1; i <= n; i++)
if (x % i == 0 && x / i <= n)
ans++;
return ans;
}
// Driver code
int main()
{
int n = 6, x = 12;
// Function call
cout << Cells(n, x);
return 0;
}
Java 语言(一种计算机语言,尤用于创建网站)
// Java program to find number of
// cells in the table contains X
class GFG
{
// Function to find number of
// cells in the table contains X
public static int Cells(int n, int x)
{
int ans = 0;
for (int i = 1; i <= n; i++)
if (x % i == 0 && x / i <= n)
ans++;
return ans;
}
// Driver code
public static void main(String[] args)
{
int n = 6, x = 12;
// Function call
System.out.println(Cells(n, x));
}
}
// This code is contributed by sanjeev2552
Python 3
# Python3 program to find number of
# cells in the table contains X
# Function to find number of
# cells in the table contains X
def Cells(n, x):
ans = 0;
for i in range(1, n + 1):
if (x % i == 0 and x / i <= n):
ans += 1;
return ans;
# Driver code
if __name__ == '__main__':
n = 6; x = 12;
# Function call
print(Cells(n, x));
# This code is contributed by 29AjayKumar
C
// C# program to find number of
// cells in the table contains X
using System;
class GFG
{
// Function to find number of
// cells in the table contains X
static int Cells(int n, int x)
{
int ans = 0;
for (int i = 1; i <= n; i++)
if (x % i == 0 && x / i <= n)
ans++;
return ans;
}
// Driver code
public static void Main()
{
int n = 6, x = 12;
// Function call
Console.WriteLine(Cells(n,x));
}
}
// This code is contributed by nidhiva
java 描述语言
<script>
// JavaScript program to find number of
// cells in the table contains X
// Function to find number of
// cells in the table contains X
function Cells(n, x)
{
let ans = 0;
for (let i = 1; i <= n; i++)
if (x % i == 0 && parseInt(x / i) <= n)
ans++;
return ans;
}
// Driver code
let n = 6, x = 12;
// Function call
document.write(Cells(n, x));
</script>
Output
4
接近:
忽略负方格的情况。如果 n 是 0,那么正方形中不会有任何数字,如果 x 是 0,那么它不会出现在正方形中,所以在这两种情况下都返回 0。如果 x 大于 n^2,它就不在正方形中,所以在这种情况下也返回 0。 接下来,循环遍历所有数字 i 从 1 到 x 的平方根,如果 i 是 x 和x/IT27】=n的因子,那么由于关联属性: i*(x/i) 和在 n 平方图上至少还有两个额外的位置 x 最后,找出 x 的平方根是否为整数。如果是,它会在 n-square 表的对角线上再出现一次,n-square 表是所有方块的列表。 | 1 | 2 | 3 | 4 | 5 | 6 |
| 2 | 4 | 6 | 8 | 10 | 12 |
| 3 | 6 | 9 | 12 | 15 | 18 |
| 4 | 8 | 12 | 16 | 20 | 24 |
| 5 | 10 | 15 | 20 | 25 | 30 |
| 6 | 12 | 18 | 24 | 30 | 36 |
下面是上述方法的实现:
C++
// C++ program to find number of
// cells in the table contains X
#include <bits/stdc++.h>
using namespace std;
// Function to find number of
// cells in the table contains X
int Cells(int n, int x)
{
if (n <= 0 || x <= 0 || x > n * n)
return 0;
int i = 0, count = 0;
while (++i * i < x)
if (x % i == 0 && x <= n * i)
count += 2;
return i * i == x ? count + 1 : count;
}
// Driver code
int main()
{
int n = 6, x = 12;
// Function call
cout << (Cells(n, x));
return 0;
}
// This code is contributed by subhammahato348
Java 语言(一种计算机语言,尤用于创建网站)
// Java program to find number of
// cells in the table contains X
class GFG {
// Function to find number of
// cells in the table contains X
public static int Cells(int n, int x)
{
if (n <= 0 || x <= 0 || x > n * n)
return 0;
int i = 0, count = 0;
while (++i * i < x)
if (x % i == 0 && x <= n * i)
count += 2;
return i * i == x ? count + 1 : count;
}
// Driver code
public static void main(String[] args)
{
int n = 6, x = 12;
// Function call
System.out.println(Cells(n, x));
}
}
// This code is contributed by stephenbrasel
Python 3
# Python program to find number of
# cells in the table contains X
# Function to find number of
# cells in the table contains X
def Cells(n, x):
if (n <= 0 or x <= 0 or x > n * n):
return 0;
i = 1
count = 0
while (i * i < x):
if (x % i == 0 and x <= n * i):
count += 2;
i+=1
if(i * i == x):
return count + 1
else:
return count
# Driver Code
n = 6
x = 12
print(Cells(n, x))
# This code is contributed by rag2127.
C
// C# program to find number of
// cells in the table contains X
using System;
class GFG{
// Function to find number of
// cells in the table contains X
public static int Cells(int n, int x)
{
if (n <= 0 || x <= 0 || x > n * n)
return 0;
int i = 0, count = 0;
while (++i * i < x)
if (x % i == 0 && x <= n * i)
count += 2;
return i * i == x ? count + 1 : count;
}
// Driver code
static public void Main ()
{
int n = 6, x = 12;
// Function call
Console.WriteLine(Cells(n, x));
}
}
// This code is contributed by kirti
java 描述语言
<script>
// JavaScript program to find number of
// cells in the table contains X
// Function to find number of
// cells in the table contains X
function Cells(n, x)
{
if (n <= 0 || x <= 0 || x > n * n)
return 0;
var i = 0, count = 0;
while (++i * i < x)
if (x % i == 0 && x <= n * i)
count += 2;
return i * i == x ? count + 1 : count;
}
// Driver Code
var n = 6, x = 12;
// Function call
document.write(Cells(n, x));
// This code is contributed by Khushboogoyal499
</script>
Output
4
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