from math import ceil
def f(n):return max(((1 + i) * (1 - max(i, ceil(n / i))), ceil(n / i), i) for i in range(1, n + 1))[1:]
for (n, (a, b)) in (
(1, (1, 1)),
(2, (1, 2)),
(3, (2, 2)),
(4, (2, 2)),
(5, (2, 3)),
(6, (2, 3)),
(7, (3, 3)),
(8, (3, 3)),
(9, (3, 3)),
(10, (2, 5)),
(11, (3, 4)),
(12, (3, 4)),
(13, (4, 4)),
(14, (4, 4)),
(15, (4, 4)),
(16, (4, 4)),
(17, (3, 6)),
(18, (3, 6)),
(19, (4, 5)),
(20, (4, 5)),
(21, (3, 7)),
(22, (5, 5)),
(23, (5, 5)),
(24, (5, 5)),
(25, (5, 5)),
(26, (4, 7)),
(27, (4, 7)),
(28, (4, 7)),
(29, (5, 6)),
(30, (5, 6)),
(31, (4, 8)),
(32, (4, 8)),
(33, (6, 6)),
(34, (6, 6)),
(35, (6, 6)),
(36, (6, 6)),
(37, (5, 8)),
(38, (5, 8)),
(39, (5, 8)),
(40, (5, 8)),
(41, (6, 7)),
(42, (6, 7)),
(43, (5, 9)),
(44, (5, 9)),
(45, (5, 9)),
(46, (7, 7)),
(47, (7, 7)),
(48, (7, 7)),
(49, (7, 7)),
(50, (5, 10)),
(51, (6, 9)),
(52, (6, 9)),
(53, (6, 9)),
(54, (6, 9)),
(55, (7, 8)),
(56, (7, 8)),
(57, (6, 10)),
(58, (6, 10)),
(59, (6, 10)),
(60, (6, 10)),
(61, (8, 8)),
(62, (8, 8)),
(63, (8, 8)),
(64, (8, 8)),
(65, (6, 11)),
(66, (6, 11)),
(67, (7, 10)),
(68, (7, 10)),
(69, (7, 10)),
(70, (7, 10)),
(71, (8, 9)),
(72, (8, 9)),
(73, (7, 11)),
(74, (7, 11)),
(75, (7, 11)),
(76, (7, 11)),
(77, (7, 11)),
(78, (9, 9)),
(79, (9, 9)),
(80, (9, 9)),
(81, (9, 9)),
(82, (7, 12)),
(83, (7, 12)),
(84, (7, 12)),
(85, (8, 11)),
(86, (8, 11)),
(87, (8, 11)),
(88, (8, 11)),
(89, (9, 10)),
(90, (9, 10)),
(91, (7, 13)),
(92, (8, 12)),
(93, (8, 12)),
(94, (8, 12)),
(95, (8, 12)),
(96, (8, 12)),
(97, (10, 10)),
(98, (10, 10)),
(99, (10, 10)),
(100, (10, 10))
):
print f(n) == (b, a)
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