1.1 KB | 1073 chars
"""
[29415: Треугольник](https://www.acmicpc.net/problem/29415)
Tier: Bronze 2
Category: math
"""
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():
area = ii()
area *= 2
ans = 0
for width in range(1, area + 1):
height = area // width
if height < width:
break
if area % width != 0:
continue
diagonal = sqrt(width ** 2 + height ** 2)
if diagonal == int(diagonal):
ans += 1
print(ans)
if __name__ == "__main__":
tc = 1
for t in range(1, tc+1):
ret = solve()