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)

/* B - Easy Linear Programming */

#include <stdio.h>

int main(void){
  int A, B, C, K;
  scanf("%d %d %d %d", &A, &B, &C, &K);
  if(A == 0 && B == 0){
    printf("%d\n", (-1) * K);
  }else if(A == 0){
    if(K <= B){
      printf("0\n");
    }else{
      printf("%d\n", B - K);
    }
  }else if(K <= A + B){
    printf("%d\n", A);
  }else{
    printf("%d\n", A - (K - (A + B)));
  }
}