# coding: utf-8
# Your code here!

import sys
#sys.setrecursionlimit(10**6)
readline = sys.stdin.readline 

#from math import gcd

def ans(a,b,c):
    if a == 0: return 0
    elif a%c==0:
        return ans(a//c,b,c) +b
    else:
        if a < c: return b
        r = a%c
        if r == c-1:
            return ans(a//c*c,b,c) + b
        else:
            return min(ans(a//c*c,b,c)+b, ans(a-(r+c),b,c)+2*b)





q = int(input())
for _ in range(q):
    a,b,c = [int(i) for i in readline().split()]
    
    print(ans(a,b,c))