CSES - Datatähti Open 2021 - Results
Submission details
Task:Split in Three
Sender:ziihrs
Submission time:2021-01-31 16:03:42 +0200
Language:PyPy3
Status:READY
Result:100
Feedback
groupverdictscore
#1ACCEPTED22
#2ACCEPTED78
Test results
testverdicttimegroup
#1ACCEPTED0.06 s1, 2details
#2ACCEPTED0.05 s1, 2details
#3ACCEPTED0.06 s1, 2details
#4ACCEPTED0.06 s1, 2details
#5ACCEPTED0.04 s1, 2details
#6ACCEPTED0.06 s1, 2details
#7ACCEPTED0.06 s1, 2details
#8ACCEPTED0.05 s1, 2details
#9ACCEPTED0.06 s2details
#10ACCEPTED0.07 s2details
#11ACCEPTED0.06 s2details
#12ACCEPTED0.05 s2details
#13ACCEPTED0.32 s2details
#14ACCEPTED0.08 s2details
#15ACCEPTED0.05 s2details

Code

N = int(input())
full = 0
for i in range(1, N+1):
	 full += i

if full % 3 != 0:
	print('IMPOSSIBLE')
	raise SystemExit

tar = full // 3

from functools import lru_cache

def f(tar, avail):
	if tar == 0: yield avail

	for i in range(N):
		if i + 1 > tar: break
		if avail & (1<<i) != 0:
			yield from f(tar-(i+1), avail ^ (1<<i))


def coll(chosen):
	return set(i+1 for i in range(N) if chosen & (1<<i))


A = (1<<N)-1
for avail1 in f(tar-1, A):
	chosen1 = A ^ avail1

	for avail2 in f(tar, avail1):
		chosen2 = avail1 ^ avail2
		chosen3 = avail2

		res = [1] * N
		for i in range(N):
			if chosen2 & (1<<i) != 0:
				res[i] = 2
			elif chosen3 & (1<<i) != 0:
				res[i] = 3

		print(' '.join(map(str, res)))
		raise SystemExit

print('IMPOSSIBLE')

Test details

Test 1

Group: 1, 2

Verdict: ACCEPTED

input
3

correct output
1 2 3 

user output
1 2 3

Test 2

Group: 1, 2

Verdict: ACCEPTED

input
4

correct output
IMPOSSIBLE

user output
IMPOSSIBLE

Test 3

Group: 1, 2

Verdict: ACCEPTED

input
5

correct output
1 3 1 3 2 

user output
1 3 1 3 2

Test 4

Group: 1, 2

Verdict: ACCEPTED

input
6

correct output
1 3 2 2 1 3 

user output
1 3 2 2 1 3

Test 5

Group: 1, 2

Verdict: ACCEPTED

input
7

correct output
IMPOSSIBLE

user output
IMPOSSIBLE

Test 6

Group: 1, 2

Verdict: ACCEPTED

input
8

correct output
2 3 1 2 3 3 2 1 

user output
1 1 1 2 1 3 3 2

Test 7

Group: 1, 2

Verdict: ACCEPTED

input
9

correct output
1 2 3 1 2 3 3 2 1 

user output
1 1 1 2 2 2 3 1 3

Test 8

Group: 1, 2

Verdict: ACCEPTED

input
10

correct output
IMPOSSIBLE

user output
IMPOSSIBLE

Test 9

Group: 2

Verdict: ACCEPTED

input
42

correct output
1 3 2 2 1 3 1 2 3 3 2 1 1 2 3 ...

user output
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ...

Test 10

Group: 2

Verdict: ACCEPTED

input
95

correct output
1 3 1 3 2 1 2 3 3 2 1 1 2 3 3 ...

user output
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ...

Test 11

Group: 2

Verdict: ACCEPTED

input
96

correct output
1 3 2 2 1 3 1 2 3 3 2 1 1 2 3 ...

user output
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ...

Test 12

Group: 2

Verdict: ACCEPTED

input
97

correct output
IMPOSSIBLE

user output
IMPOSSIBLE

Test 13

Group: 2

Verdict: ACCEPTED

input
98

correct output
2 3 1 2 3 3 2 1 1 2 3 3 2 1 1 ...

user output
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ...

Test 14

Group: 2

Verdict: ACCEPTED

input
99

correct output
1 2 3 1 2 3 3 2 1 1 2 3 3 2 1 ...

user output
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ...

Test 15

Group: 2

Verdict: ACCEPTED

input
100

correct output
IMPOSSIBLE

user output
IMPOSSIBLE