给定值M的值N A硬币和B硬币,任务是检查如果给硬币可以用来支付S的值。
例子:
Input: A = 1, B = 2, N = 3, S = 4, M = 1
Output: YES
Explanation:
In this case if 1 coin of value 3 is chosen and 2 coins of value 1, then it is possible to pay a value of S.
Input: A = 1, B = 2, N = 3, S = 6, M = 1
Output: NO
In this case, It is not possible to pay a value of S
方法:
这个想法是使用贪婪的方法。
- 继续从所需的总和 S 中减去价值 N 的硬币。
- 在每一步中,在减去价值 N 的硬币时,检查剩余的总和是否是价值 M 的硬币的倍数,并且我们有足够的价值 M 的硬币来获得剩余的总和。
- 如果在任何一步,满足上述两个条件,则返回 YES。
下面是上述方法的实现:
C++
// C++ implementation to check
// if it is possible to pay a value
#include
using namespace std;
// Function to check if it
// is possible to pay a value
void knowPair(int a, int b,
int n, int s, int m){
int i = 0, rem = 0;
int count_b = 0, flag = 0;
// Loop to add the value of coin A
while (i <= a) {
rem = s - (n * i);
count_b = rem / m;
if (rem % m == 0 && count_b <= b){
flag = 1;
}
i++;
}
// Condition to check if it is
// possible to pay a value of S
if (flag == 1) {
cout << "YES" << endl;
}else{
cout << "NO" << endl;
}
}
// Driver Code
int main()
{
int A = 1;
int B = 2;
int n = 3;
int S = 4;
int m = 2;
knowPair(A, B, n, S, m);
return 0;
}
Java
// Java implementation to check
// if it is possible to pay a value
class GFG{
// Function to check if it
// is possible to pay a value
static void knowPair(int a, int b,
int n, int s, int m){
int i = 0, rem = 0;
int count_b = 0, flag = 0;
// Loop to add the value of coin A
while (i <= a) {
rem = s - (n * i);
count_b = rem / m;
if (rem % m == 0 && count_b <= b){
flag = 1;
}
i++;
}
// Condition to check if it is
// possible to pay a value of S
if (flag == 1) {
System.out.print("YES" +"\n");
}else{
System.out.print("NO" +"\n");
}
}
// Driver Code
public static void main(String[] args)
{
int A = 1;
int B = 2;
int n = 3;
int S = 4;
int m = 2;
knowPair(A, B, n, S, m);
}
}
// This code is contributed by 29AjayKumar
Python3
# Python 3 implementation to check
# if it is possible to pay a value
# Function to check if it
# is possible to pay a value
def knowPair(a,b,n,s,m):
i = 0
rem = 0
count_b = 0
flag = 0
# Loop to add the value of coin A
while (i <= a):
rem = s - (n * i)
count_b = rem // m
if (rem % m == 0 and count_b <= b):
flag = 1
i += 1
# Condition to check if it is
# possible to pay a value of S
if (flag == 1):
print("YES")
else:
print("NO")
# Driver Code
if __name__ == '__main__':
A = 1
B = 2
n = 3
S = 4
m = 2
knowPair(A, B, n, S, m)
# This code is contributed by Surendra_Gangwar
C#
// C# implementation to check
// if it is possible to pay a value
using System;
class GFG{
// Function to check if it
// is possible to pay a value
static void knowPair(int a, int b,
int n, int s, int m){
int i = 0, rem = 0;
int count_b = 0, flag = 0;
// Loop to add the value of coin A
while (i <= a) {
rem = s - (n * i);
count_b = rem / m;
if (rem % m == 0 && count_b <= b){
flag = 1;
}
i++;
}
// Condition to check if it is
// possible to pay a value of S
if (flag == 1) {
Console.Write("YES" + "\n");
}else{
Console.Write("NO" + "\n");
}
}
// Driver Code
public static void Main(String[] args)
{
int A = 1;
int B = 2;
int n = 3;
int S = 4;
int m = 2;
knowPair(A, B, n, S, m);
}
}
// This code is contributed by PrinciRaj1992
Javascript
输出:
YES