Problem: You are given a positive integer n. In one move, you can increase n by one (i.e. make n := n + 1). Your task is to find the minimum number of moves you need to perform in order to make the sum of digits of n be less than or equal to s.

You have to answer t independent test cases.

Input

The first line of the input contains one integer t (1 ≤ t ≤ 2 ⋅ 10^4) — the number of test cases. Then t test cases follow.

The only line of the test case contains two integers n and s (1 ≤ n ≤ 10^{18}; 1 ≤ s ≤ 162).

Output

For each test case, print the answer: the minimum number of moves you need to perform in order to make the sum of digits of n be less than or equal to s.

Example

Input


5
2 1
1 1
500 4
217871987498122 10
100000000000000001 1


Output


8
0
500
2128012501878
899999999999999999

Solution (in PYTHON3):

Solution:
from __future__ import division, print_function

import os
import sys
from io import BytesIO, IOBase
from collections import deque

def main():
    def solve():
        n, s = input().split()
        n = deque([ int(x) for x in n ])
        s = int(s)

        total = sum(n)

        if total <= s:
            print(0)
            return

        numOfSteps = 0

        roundedStart = -1
        for i in range(len(n)):
            if n[~i] == 0:
                roundedStart += 1
            else: break

        while total > s:
            total -= n[~(roundedStart+1)]
            numOfSteps += (10 - n[~(roundedStart+1)]) * 10**(roundedStart+1)
            n[~(roundedStart+1)] = 0

            if roundedStart+1 < len(n) - 1:
                n[~(roundedStart+2)] += 1

                current = ~(roundedStart+2)
                while n[current] >= 10:
                    if current == -len(n):
                        n.appendleft(0)

                    n[current-1] += n[current] // 10
                    total += n[current] // 10
                    total -= (n[current] // 10)*10
                    n[current] = n[current] % 10

                    current -= 1

                total += 1
            else:
                n.appendleft(1)
                total = 1

            roundedStart += 1

        print(numOfSteps)

    t = int(input())
    for i in range(t):
        solve()

BUFFSIZE = 8192

class FastIO(IOBase):
    newlines = 0

    def __init__(self, file):
        self._fd = file.fileno()
        self.buffer = BytesIO()
        self.writable = "x" in file.mode or "r" not in file.mode
        self.write = self.buffer.write if self.writable else None

    def read(self):
        while True:
            b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFFSIZE))
            if not b:
                break
            ptr = self.buffer.tell()
            self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr)
        self.newlines = 0
        return self.buffer.read()

    def readline(self):
        while self.newlines == 0:
            b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFFSIZE))
            self.newlines = b.count(b"\n") + (not b)
            ptr = self.buffer.tell()
            self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr)
        self.newlines -= 1
        return self.buffer.readline()

    def flush(self):
        if self.writable:
            os.write(self._fd, self.buffer.getvalue())
            self.buffer.truncate(0), self.buffer.seek(0)

class IOWrapper(IOBase):
    def __init__(self, file):
        self.buffer = FastIO(file)
        self.flush = self.buffer.flush
        self.writable = self.buffer.writable
        self.write = lambda s: self.buffer.write(s.encode("ascii"))
        self.read = lambda: self.buffer.read().decode("ascii")
        self.readline = lambda: self.buffer.readline().decode("ascii")

input = lambda: sys.stdin.readline().rstrip("\r\n")

def print(*args, **kwargs):
    sep = kwargs.pop("sep", " ")
    file = kwargs.pop("file", sys.stdout)

    atStart = True
    for x in args:
        if not atStart:
            file.write(sep)
        file.write(str(x))
        atStart = False
    file.write(kwargs.pop("end", "\n"))

    if kwargs.pop("flush", False):
        file.flush()

sys.stdin, sys.stdout = IOWrapper(sys.stdin), IOWrapper(sys.stdout)

main()