找到a 1 ,a 2 ,a 3 ,….a n的值,使以下两个条件都满足。
打印a 1 ,a 2 ,…, n的值,否则打印“ No solution”。
注意:可能有几种解决方案,请打印其中的任何一种。
例子:
Input: n = 5, x = 15, y = 15
Output:
11
1
1
1
1
Input: n = 4, x = 324, y = 77
Output:
74
1
1
1
方法:下面是解决此问题的分步算法:
- 初始化元素数量以及x和y的值。
- 如果y小于n或x非常大于n,则没有1 …a 2的解。
- 将第一个解决方案打印为y – n + 1,将其他元素的解决方案打印为1。
下面是上述方法的实现:
C++
// C++ implementation of above approach
#include
using namespace std;
#define ll long long
// Function to calculate all the solutions
void findsolution(ll n, ll x, ll y)
{
// there is no solutions
if ((y - n + 1) * (y - n + 1) + n - 1 < x || y < n) {
cout << "No solution";
return;
}
// print first element as y-n+1
cout << y - n + 1;
// print rest n-1 elements as 1
while (n-- > 1)
cout << endl
<< 1;
}
// Driver code
int main()
{
// initialize the number of elements
// and the value of x an y
ll n, x, y;
n = 5, x = 15, y = 15;
findsolution(n, x, y);
return 0;
}
Java
// java implementation of above approach
import java.io.*;
class GFG {
// Function to calculate all the solutions
static void findsolution(long n, long x, long y)
{
// there is no solutions
if ((y - n + 1) * (y - n + 1) + n - 1 < x || y < n) {
System.out.println( "No solution");
return;
}
// print first element as y-n+1
System.out.println( y - n + 1);
// print rest n-1 elements as 1
while (n-- > 1)
System.out.println( "1");
}
// Driver code
public static void main (String[] args) {
// initialize the number of elements
// and the value of x an y
long n, x, y;
n = 5; x = 15; y = 15;
findsolution(n, x, y);
}
}
// This code is contributed
// by ajit
Python3
# Python3 implementation of above approach
# Function to calculate all the solutions
def findsolution(n, x, y):
# there is no solutions
if ((y - n + 1) * (y - n + 1) +
n - 1 < x or y < n):
print("No solution");
return;
# print first element as y-n+1
print(y - n + 1);
# print rest n-1 elements as 1
while (n > 1):
print(1);
n -= 1;
# Driver code
# initialize the number of elements
# and the value of x an y
n = 5;
x = 15;
y = 15;
findsolution(n, x, y);
# This code is contributed by mits
C#
// C# implementation of above approach
using System;
class GFG
{
// Function to calculate all the solutions
static void findsolution(long n,
long x, long y)
{
// there is no solutions
if ((y - n + 1) * (y - n + 1) +
n - 1 < x || y < n)
{
Console.WriteLine( "No solution");
return;
}
// print first element as y-n+1
Console.WriteLine( y - n + 1);
// print rest n-1 elements as 1
while (n-- > 1)
Console.WriteLine( "1");
}
// Driver code
static public void Main ()
{
// initialize the number of elements
// and the value of x an y
long n, x, y;
n = 5; x = 15; y = 15;
findsolution(n, x, y);
}
}
// This code is contributed
// by ajit
PHP
1)
echo "\n" . 1;
}
// Driver code
// initialize the number of elements
// and the value of x an y
$n = 5; $x = 15; $y = 15;
findsolution($n, $x, $y);
// This code is contributed
// by Akanksha Rai(Abby_akku)
Javascript
输出:
11
1
1
1
1