1.1 KB | 1115 chars
"""
[30342: Picos](https://www.acmicpc.net/problem/30342)
Tier: Bronze 1
Category: arithmetic, implementation, math, simulation
"""
import sys
from math import sqrt, pi, sin, factorial, ceil, floor
from datetime import datetime, timedelta
SYS_INPUT = True
RECURSION_LIMIT = 10 ** 7
SET_RECURSION = False
BLANK = " "
if SET_RECURSION:
sys.setrecursionlimit(RECURSION_LIMIT)
inp = lambda : sys.stdin.readline().rstrip() if SYS_INPUT else input()
mii = lambda : [*map(int,inp().split())]
mfi = lambda : [*map(float,inp().split())]
ii = lambda : int(inp())
fi = lambda : float(inp())
isplit = lambda : inp().split()
p = print
def gcd(a, b): return gcd(b, a % b) if b > 0 else a
def lcm(a, b): return a * b // gcd(a, b)
def solve():
n, m, t, k = mii()
shower_turn = n // m + int(n % m != 0)
buy_turn = k // t + int(k % t != 0)
turn = min(shower_turn, buy_turn)
ans = m * (k * turn - (t * (turn - 1) * turn) // 2)
if shower_turn == turn and n % m != 0:
ans -= (m - n % m) * (k - (turn - 1) * t)
p(ans)
if __name__ == "__main__":
tc = 1
for t in range(1, tc+1):
ret = solve()