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 Go (1.14.1) (judge verdict: Time Limit Exceeded)

package main

import "fmt"

func main() {
	var a, b, c, k int
	fmt.Scan(&a, &b, &c, &k)

	ans := 0
	for ; a > 0; a-- {
		ans += 1
		k--
		if k == 0 {
			fmt.Println(ans)
			return
		}
	}

	for ; b > 0; b-- {
		ans += 0
		k--
		if k == 0 {
			fmt.Println(ans)
			return
		}
	}

	for ; c > 0; c-- {
		ans -= 1
		k--
		if k == 0 {
			fmt.Println(ans)
			return
		}
	}
}