Problem:
Score : 200 points

Problem Statement

We have A cards, each of which has an integer 1 written on it. Similarly, we also have B cards with 0s and C cards with -1s.

We will pick up K among these cards. What is the maximum possible sum of the numbers written on the cards chosen?

Constraints

All values in input are integers.

0 \leq A, B, C

1 \leq K \leq A + B + C \leq 2 \times 10^9

Input

Input is given from Standard Input in the following format:

A B C K

Output

Print the maximum possible sum of the numbers written on the cards chosen.

Sample Input 1

2 1 1 3

Sample Output 1

2

Consider picking up two cards with 1s and one card with a 0.
In this case, the sum of the numbers written on the cards is 2, which is the maximum possible value.

Sample Input 2

1 2 3 4

Sample Output 2

0

Sample Input 3

2000000000 0 0 2000000000

Sample Output 3

2000000000

Solution in C++ (GCC 9.2.1) (judge verdict: Wrong Answer)

#include <bits/stdc++.h>
using namespace std;

int main(){
  int A,B,C,K;
  cin >> A >> B >> C >> K;
  
  int num[A+B+C]={0};
  long long sum=0;
  
  for(int i=0;i<A;i++){
    num[i] =1;
  }
  
  for(int i=A;i<(A+B);i++){
    num[i]=0;
  }
  
  for(int i=(A+B);i<(A+B+C);i++){
    num[i]=-1;
  }
  
  for(int i=0;i<K;i++){
    sum += num[i];
  }
}